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cSpadSyntaxCategory`0`x`()->Category``SASTCAT`52668
cSpecialFunctionCategory`0`x`()->Category``SPFCAT`52719
cSquareFreeNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`52767
cSquareFreeRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`53091
cSquareMatrixCategory`4`x`(ndim:NonNegativeInteger,R:Ring,DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`54063
cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`54318
cStepThrough`0`x`()->Category``STEP`54399
cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`54957
cStringAggregate`0`x`()->Category``SRAGG`55327
cTableAggregate`2`x`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`55430
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`55550
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`55742
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`55802
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`57222
cTwoDimensionalArrayCategory`3`x`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`57270
cType`0`x`()->Category``TYPE`57823
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`57851
cUnionType`0`n`()->Category``UTYPE`58387
cUniqueFactorizationDomain`0`x`()->Category``UFD`58702
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`58874
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`58974
cUnivariatePolynomialCategory`1`x`(Ring)->Category`(R)`UPOLYC`59267
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`59414
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`59760
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`59860
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`60156
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`60538
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`60636
cVectorSpace`1`x`(Field)->Category`(S)`VSPACE`61055
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`61126
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`61378
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`61484
dAddAst`0`x`()->Join(SpadSyntaxCategory,etc)``ADDAST`61648
dAlgebraGivenByStructuralConstants`4`x`(R:Field,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`61711
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`62166
dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`62234
dAnonymousFunction`0`n`()->Join(SetCategory,etc)``ANON`62305
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`62354
dAny`0`x`()->Join(SetCategory,etc)``ANY`62401
dArity`0`x`()->Join(SetCategory,etc)``ARITY`62957
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`63252
dAsp10`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP10`63299
dAsp12`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP12`63719
dAsp19`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP19`64144
dAsp1`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP1`69265
dAsp20`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP20`69612
dAsp24`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP24`70110
dAsp27`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP27`70759
dAsp28`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP28`71832
dAsp29`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP29`80664
dAsp30`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP30`81039
dAsp31`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP31`82117
dAsp33`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP33`82693
dAsp34`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP34`82974
dAsp35`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP35`83634
dAsp41`3`x`(Symbol,Symbol,Symbol)->Join(FortranVectorFunctionCategory,etc)`(nameOne,nameTwo,nameThree)`ASP41`84371
dAsp42`3`x`(Symbol,Symbol,Symbol)->Join(FortranVectorFunctionCategory,etc)`(nameOne,nameTwo,nameThree)`ASP42`85468
dAsp49`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP49`86735
dAsp4`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP4`87472
dAsp50`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP50`87904
dAsp55`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP55`89830
dAsp6`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP6`91055
dAsp73`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP73`92155
dAsp74`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP74`92600
dAsp77`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP77`93224
dAsp78`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP78`93572
dAsp7`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP7`93838
dAsp80`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP80`94391
dAsp8`1`x`(Symbol)->FortranVectorCategory`(name)`ASP8`94761
dAsp9`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP9`95679
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`96319
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`97544
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`98598
dAttributeAst`0`x`()->Join(SpadSyntaxCategory,etc)``ATTRAST`98905
dAttributeButtons`0`x`()->Join(SetCategory,etc)``ATTRBUT`99001
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`100046
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`100132
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`100481
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`100694
dBasicFunctions`0`x`()->Join(SetCategory,etc)``BFUNCT`0
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`100900
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`101034
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`101124
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`101404
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`101695
dBinding`0`x`()->Join(CoercibleTo(OutputForm),etc)``BINDING`101921
dBits`0`x`()->Join(BitAggregate,etc)``BITS`102105
dBoolean`0`x`()->Join(OrderedFinite,etc)``BOOLEAN`102172
dByteBuffer`0`x`()->Join(OneDimensionalArrayAggregate(Byte),etc)``BYTEBUF`102279
dByteOrder`0`n`()->Join(SetCategory,etc)``BYTEORD`103044
dByte`0`x`()->Join(OrderedFinite,etc)``BYTE`103118
dCapsuleAst`0`x`()->Join(SpadSyntaxCategory,etc)``CAPSLAST`103185
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`103250
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`104655
dCaseAst`0`x`()->Join(SpadSyntaxCategory,etc)``CASEAST`104901
dCategoryAst`0`x`()->Join(SpadSyntaxCategory,etc)``CATAST`104951
dCategoryConstructor`0`n`()->Join(ConstructorCategory,etc)``CATCTOR`105056
dCategory`0`x`()->Join(CoercibleTo(OutputForm),etc)``CATEGORY`0
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`105126
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`105216
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,QuadraticForm(n,K))->Join(Ring,etc)`(n,K,Q)`CLIF`105274
dCoerceAst`0`x`()->Join(SpadSyntaxCategory,etc)``CRCEAST`105965
dCollectAst`0`x`()->Join(SpadSyntaxCategory,etc)``CLLCTAST`106016
dColonAst`0`x`()->Join(SpadSyntaxCategory,etc)``COLONAST`106072
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`106167
dCommaAst`0`x`()->Join(SpadSyntaxCategory,etc)``COMMAAST`106277
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`106373
dCompilerPackage`0`n`()->Join(Type,etc)``COMPILER`106408
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`106455
dConstructAst`0`x`()->Join(SpadSyntaxCategory,etc)``LSTAST`106661
dConstructorCall`1`x`(ConstructorCategory)->Join(SetCategory,etc)`(C)`CTORCALL`0
dConstructorKind`0`n`()->Join(SetCategory,etc)``CTORKIND`106717
dConstructor`0`n`()->Join(ConstructorCategory,etc)``CTOR`106876
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`106937
dContour`0`x`()->Join(CoercibleTo(OutputForm),etc)``CONTOUR`107528
dDataArray`2`x`(PositiveInteger,T:SetCategory)->Join(SetCategory,etc)`(N,T)`DATAARY`107706
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`107776
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`107832
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`107939
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`108203
dDefinitionAst`0`x`()->Join(SpadSyntaxCategory,etc)``DEFAST`108294
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`108351
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`108638
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`108684
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`108950
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`109036
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`109135
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`109744
dDomainConstructor`0`n`()->Join(ConstructorCategory,etc)``DOMCTOR`110107
dDomainTemplate`0`n`()->Join(SetCategory,etc)``DOMTMPLT`110176
dDomain`0`x`()->Join(SetCategory,etc)``DOMAIN`0
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`110262
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`112202
dDualBasis`1`x`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`DBASIS`112296
dElaboratedExpression`0`x`()->Join(CoercibleTo(OutputForm),etc)``ELABEXPR`112496
dElaboration`0`n`()->Join(CoercibleTo(OutputForm),etc)``ELABOR`0
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`112572
dElementaryFunctionsUnivariatePuiseuxSeries`4`n`(Coef:Algebra(Fraction(Integer)),ULS:UnivariateLaurentSeriesCategory(Coef),UPXS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),PartialTranscendentalFunctions(ULS))->Join(PartialTranscendentalFunctions(UPXS),etc)`(Coef,ULS,UPXS,EFULS)`EFUPXS`112991
dEnumeration`1`x`special`(a,b,...,c)`ENUM`113410
dEnvironment`0`x`()->Join(CoercibleTo(OutputForm),etc)``ENV`113565
dEqTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`113719
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`113884
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`114124
dExitAst`0`x`()->Join(SpadSyntaxCategory,etc)``EXITAST`114324
dExit`0`x`()->SetCategory``EXIT`114371
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`114658
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Field,var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`114951
dExpression`1`x`(SetCategory)->Join(FunctionSpace(R),etc)`(R)`EXPR`115732
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`115780
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`116622
dFileName`0`x`()->FileNameCategory``FNAME`117460
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`117529
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`117663
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`117878
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`118478
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`119108
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`119764
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`120031
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`120323
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`120833
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`121340
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`121836
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`122028
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`123036
dFortranCode`0`x`()->Join(SetCategory,etc)``FC`126807
dFortranExpression`3`x`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`126913
dFortranProgram`4`x`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`127072
dFortranScalarType`0`x`()->Join(CoercibleTo(OutputForm),etc)``FST`127243
dFortranTemplate`0`x`()->Join(FileCategory(FileName,String),etc)``FTEM`127383
dFortranType`0`x`()->Join(SetCategory,etc)``FT`127426
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`127534
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`127743
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`127939
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`128193
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`128238
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`128288
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`128508
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`128742
dFreeModule1`2`n`(Ring,S:OrderedSet)->Join(FreeModuleCat(R,S),etc)`(R,S)`FM1`128967
dFreeModule`2`n`(Ring,S:OrderedType)->Join(BiModule(R,R),etc)`(R,S)`FM`129388
dFreeMonoid`1`n`(SetCategory)->FreeMonoidCategory(S)`(S)`FMONOID`129593
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`129832
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`129972
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`130334
dFunctionDescriptor`0`n`()->Join(SetCategory,etc)``FUNDESC`130379
dFunctorData`0`n`()->Join(SetCategory,etc)``FCTRDATA`130547
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`130619
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`131180
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`131213
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`131249
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`131367
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`132034
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`132331
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`132497
dHasAst`0`x`()->Join(SpadSyntaxCategory,etc)``HASAST`132608
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`132657
dHeadAst`0`x`()->Join(SpadSyntaxCategory,etc)``HEADAST`132816
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`132873
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`132940
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`133035
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`133373
dHostname`0`x`()->Join(SetCategory,etc)``HOSTNAME`133782
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`133842
dIOMode`0`n`()->Join(SetCategory,etc)``IOMODE`134182
dIP4Address`0`x`()->Join(SetCategory,etc)``IP4ADDR`134291
dIdentifier`0`x`()->Join(SetCategory,etc)``IDENT`134373
dIfAst`0`x`()->Join(SpadSyntaxCategory,etc)``IFAST`134561
dImportAst`0`x`()->Join(SpadSyntaxCategory,etc)``IMPTAST`134623
dInAst`0`n`()->Join(SpadSyntaxCategory,etc)``INAST`134674
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`134729
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`134823
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedType)->Join(AbelianGroup,etc)`(A,S)`IDPAG`134921
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedType)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`135128
dIndexedDirectProductObject`2`n`(BasicType,S:OrderedType)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`135337
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`135479
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedType)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`135677
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`135911
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`136133
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`137211
dIndexedMatrix`3`n`(Ring,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`137704
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`138175
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`138283
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`138330
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`138902
dInetClientStreamSocket`0`x`()->Join(NetworkClientSocket(IP4Address),etc)``INETCLTS`0
dInfiniteTupleFunctions2`2`x`(Type,B:Type)->Join(Type,etc)`(A,B)`ITFUN2`139020
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`139081
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`139182
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`139231
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`139459
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`139515
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`139658
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`139767
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`139970
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`140097
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`140205
dInputBinaryFile`0`x`()->Join(InputByteConduit,etc)``INBFILE`140581
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`140738
dInputOutputBinaryFile`0`x`()->Join(InputOutputByteConduit,etc)``IOBFILE`140890
dInt16`0`n`()->Join(OrderedFinite,etc)``INT16`141061
dInt32`0`n`()->Join(OrderedFinite,etc)``INT32`141143
dInt64`0`n`()->Join(OrderedFinite,etc)``INT64`141225
dInt8`0`n`()->Join(OrderedFinite,etc)``INT8`141307
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`141388
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`141481
dIntegrationFunctionsTable`0`x`()->etc``INTFTBL`141559
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`141576
dInternalRepresentationForm`0`x`()->Join(SetCategory,etc)``IRFORM`142082
dInternalTypeForm`0`n`()->Join(SetCategory,etc)``ITFORM`142195
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`142262
dIsAst`0`x`()->Join(SpadSyntaxCategory,etc)``ISAST`142578
dJVMBytecode`0`n`()->Join(SetCategory,etc)``JVMBCODE`142627
dJVMClassFileAccess`0`n`()->Join(SetCategory,etc)``JVMCFACC`142677
dJVMConstantTag`0`n`()->Join(SetCategory,etc)``JVMCSTTG`142725
dJVMFieldAccess`0`n`()->Join(SetCategory,etc)``JVMFDACC`142766
dJVMMethodAccess`0`n`()->Join(SetCategory,etc)``JVMMDACC`142815
dJVMOpcode`0`n`()->Join(SetCategory,etc)``JVMOP`142865
dJoinAst`0`x`()->Join(SpadSyntaxCategory,etc)``JOINAST`142913
dKernel`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`KERNEL`142971
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`143073
dKleeneTrivalentLogic`0`n`()->Join(PropositionalLogic,etc)``KTVLOGIC`143170
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`143238
dLetAst`0`x`()->Join(SpadSyntaxCategory,etc)``LETAST`143398
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`143451
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`143516
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`143878
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`144063
dLinearBasis`1`x`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`LINBASIS`144410
dLinearElement`2`x`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINELT`144605
dLinearForm`2`x`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINFORM`144744
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`144880
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`145126
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`145407
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`145663
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`145834
dLiteral`1`x`(SetCategory)->Join(SpadSyntaxCategory,etc)`(T)`LITERAL`146119
dLocalAlgebra`3`n`(Algebra(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Algebra(R),etc)`(A,R,S)`LA`146171
dLocalize`3`n`(Module(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Module(R),etc)`(M,R,S)`LO`146311
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`146497
dMachineComplex`0`x`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`147356
dMachineFloat`0`x`()->Join(FloatingPointSystem,etc)``MFLOAT`147458
dMachineInteger`0`x`()->Join(FortranMachineTypeCategory,etc)``MINT`147560
dMacroAst`0`x`()->Join(SpadSyntaxCategory,etc)``MACROAST`147655
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`147718
dMappingAst`0`x`()->Join(SpadSyntaxCategory,etc)``MAPPAST`147910
dMapping`1`x`special`(T,S)`MAPPING`148120
dMathMLFormat`0`x`()->Join(SetCategory,etc)``MMLFORM`148359
dMatrix`1`x`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`148454
dMaybe`1`x`(CoercibleTo(OutputForm))->Join(UnionType,etc)`(T)`MAYBE`148555
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`148672
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`148705
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`148927
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`149136
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`149169
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`149218
dMonoidRing`2`n`(Ring,M:Monoid)->Join(Ring,etc)`(R,M)`MRING`149341
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`150293
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`150340
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`150662
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`150911
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`151093
dNone`0`n`()->SetCategory``NONE`151189
dNumericalIntegrationProblem`0`x`()->Join(SetCategory,etc)``NIPROB`0
dNumericalODEProblem`0`x`()->Join(SetCategory,etc)``ODEPROB`0
dNumericalOptimizationProblem`0`x`()->Join(SetCategory,etc)``OPTPROB`0
dNumericalPDEProblem`0`x`()->Join(SetCategory,etc)``PDEPROB`0
dODEIntensityFunctionsTable`0`x`()->etc``ODEIFTBL`151406
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`151545
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`152068
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`152127
dOpenMathConnection`0`x`()->etc``OMCONN`152231
dOpenMathDevice`0`x`()->etc``OMDEV`152368
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`152560
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`152634
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`152793
dOperatorSignature`0`n`()->Join(OperatorCategory(Identifier),etc)``OPSIG`152858
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`152914
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`152963
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`153194
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`153487
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`153602
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(FreeMonoidCategory(S),etc)`(S)`OFMONOID`153932
dOrderedStructure`2`n`(T:Type,(T,T)->Boolean)->Join(OrderedType,etc)`(T,f)`ORDSTRCT`154524
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`154648
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`154695
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`155001
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`155689
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`155810
dOutputBinaryFile`0`x`()->Join(OutputByteConduit,etc)``OUTBFILE`156038
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`156196
dOverloadSet`0`n`()->Join(SetCategory,etc)``OVERSET`156458
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`156547
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`156732
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`156798
dPair`2`x`(Type,T:Type)->Join(Type,etc)`(S,T)`PAIR`156973
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`157138
dParameterAst`0`x`()->Join(SpadSyntaxCategory,etc)``PARAMAST`157206
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`157397
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`157490
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`157581
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`157665
dPartition`0`x`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`158498
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`158730
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`158966
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`159187
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`159234
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`159369
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`159838
dPi`0`x`()->Join(Field,etc)``HACKPI`160331
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`160642
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`160905
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`161241
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`161606
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`161934
dPolynomialIdeals`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`161990
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`162498
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`162862
dPortNumber`0`x`()->Join(SetCategory,etc)``PORTNUM`163151
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`163224
dPretendAst`0`x`()->Join(SpadSyntaxCategory,etc)``PRTDAST`163313
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`163365
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`163559
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`163697
dProperty`0`x`()->Join(CoercibleTo(OutputForm),etc)``PROPERTY`163744
dPropositionalFormulaFunctions1`1`n`(SetCategory)->Join(Type,etc)`(T)`PROPFUN1`163905
dPropositionalFormulaFunctions2`2`n`(SetCategory,T:SetCategory)->Join(Type,etc)`(S,T)`PROPFUN2`163986
dPropositionalFormula`1`x`(SetCategory)->Join(PropositionalLogic,etc)`(T)`PROPFRML`164068
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`164189
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`164252
dQuasiquoteAst`0`x`()->Join(SpadSyntaxCategory,etc)``QQUTAST`165971
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`166053
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`166356
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`166409
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`166453
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`166512
dRangeBinding`2`x`(SegmentCategory(T),Type)->Join(Type,etc)`(S,T)`RNGBIND`166657
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`166789
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`166856
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`167092
dReduceAst`0`n`()->Join(SpadSyntaxCategory,etc)``RDUCEAST`167227
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`167279
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`167370
dRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(RegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`REGSET`167585
dRepeatAst`0`x`()->Join(SpadSyntaxCategory,etc)``RPTAST`168016
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`168075
dRestrictAst`0`x`()->Join(SpadSyntaxCategory,etc)``RSTRCAST`168277
dResult`0`x`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`168330
dReturnAst`0`x`()->Join(SpadSyntaxCategory,etc)``RETAST`168526
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`168577
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`168752
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`168849
dRoutinesTable`0`x`()->Join(TableAggregate(Symbol,Any),etc)``ROUTINE`168955
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`169074
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`169115
dRuntimeValue`0`n`()->Join(Type,etc)``RTVALUE`169184
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`169280
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`169366
dScope`0`x`()->Join(CoercibleTo(OutputForm),etc)``SCOPE`169434
dSegmentAst`0`x`()->Join(SpadSyntaxCategory,etc)``SEGAST`169589
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`169640
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`169795
dSequenceAst`0`x`()->Join(SpadSyntaxCategory,etc)``SEQAST`169868
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`169921
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`170178
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`170853
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`170967
dSignatureAst`0`x`()->Join(SpadSyntaxCategory,etc)``SIGAST`172021
dSignature`0`x`()->Join(SetCategory,etc)``SIG`172237
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`172456
dSimpleFortranProgram`2`x`(R:SetCategory,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`173035
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`173307
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`173378
dSpadAst`0`n`()->SpadAstExports``SPADAST`173466
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`173721
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`174069
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`174354
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`174472
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`175032
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`175406
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`175977
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`176139
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`176720
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`177194
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`177817
dSquareFreeRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`178859
dSquareMatrix`2`x`(NonNegativeInteger,R:Ring)->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`179337
dStack`1`x`(Type)->Join(StackAggregate(S),etc)`(S)`STACK`179483
dStepAst`0`x`()->Join(SpadSyntaxCategory,etc)``STEPAST`179527
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`179599
dStringTable`1`n`(SetCategory)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`179769
dString`0`x`()->Join(StringAggregate,etc)``STRING`0
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`179880
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`179946
dSuchThatAst`0`x`()->Join(SpadSyntaxCategory,etc)``SUCHTAST`179978
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`180035
dSwitch`0`x`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`180082
dSymbolTable`0`x`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`180195
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`180265
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`180299
dSyntax`0`x`()->Join(UnionType,etc)``SYNTAX`180349
dSystemInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSINT`181211
dSystemNonNegativeInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSNNI`181703
dSystemPointer`0`n`()->SetCategory``SYSPTR`182197
dSystem`0`n`()->Join(Type,etc)``SYSTEM`182258
dTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`182365
dTableau`1`x`(SetCategory)->etc`(S)`TABLEAU`182589
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`182732
dTermAlgebraOperator`1`n`(SetCategory)->Join(OperatorCategory(S),etc)`(S)`TALGOP`182863
dTexFormat`0`x`()->Join(SetCategory,etc)``TEX`182976
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`183686
dTheSymbolTable`0`x`()->Join(CoercibleTo(OutputForm),etc)``SYMS`183824
dThreeDimensionalMatrix`1`x`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`183974
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`0
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`184057
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`184239
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`184401
dTuple`1`n`(Type)->Join(HomotopicTo(PrimitiveArray(S)),etc)`(S)`TUPLE`184548
dTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R)),etc)`(R)`ARRAY2`184671
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`184789
dTypeAst`0`x`()->SpadSyntaxCategory``TYPEAST`184855
dUInt16`0`n`()->Join(OrderedFinite,etc)``UINT16`184896
dUInt32`0`n`()->Join(OrderedFinite,etc)``UINT32`184980
dUInt64`0`n`()->Join(OrderedFinite,etc)``UINT64`185064
dUInt8`0`n`()->Join(OrderedFinite,etc)``UINT8`185148
dUnion`1`x`special`(A,B,...,C)`union`185231
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`185379
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`185704
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`186251
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`186466
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`186794
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`187323
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`187881
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`188056
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`188524
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`188641
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`188680
dVoid`0`x`()->Join(CoercibleTo(OutputForm),etc)``VOID`188807
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`189031
dWhereAst`0`x`()->Join(SpadSyntaxCategory,etc)``WHEREAST`189293
dWhileAst`0`x`()->Join(SpadSyntaxCategory,etc)``WHILEAST`189358
dWuWenTsunTriangularSet`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`189416
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCat(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`190453
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`190657
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`190934
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`191235
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`191502
dYoungDiagram`0`n`()->Join(SetCategory,etc)``YDIAGRAM`191712
dd01TransformFunctionType`0`x`()->NumericalIntegrationCategory``D01TRNS`0
dd01ajfAnnaType`0`x`()->NumericalIntegrationCategory``D01AJFA`191774
dd01akfAnnaType`0`x`()->NumericalIntegrationCategory``D01AKFA`192207
dd01alfAnnaType`0`x`()->NumericalIntegrationCategory``D01ALFA`192637
dd01amfAnnaType`0`x`()->NumericalIntegrationCategory``D01AMFA`193053
dd01anfAnnaType`0`x`()->NumericalIntegrationCategory``D01ANFA`193508
dd01apfAnnaType`0`x`()->NumericalIntegrationCategory``D01APFA`193975
dd01aqfAnnaType`0`x`()->NumericalIntegrationCategory``D01AQFA`194495
dd01asfAnnaType`0`x`()->NumericalIntegrationCategory``D01ASFA`195003
dd01fcfAnnaType`0`x`()->NumericalIntegrationCategory``D01FCFA`195496
dd01gbfAnnaType`0`x`()->NumericalIntegrationCategory``D01GBFA`195930
dd02bbfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02BBFA`196364
dd02bhfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02BHFA`196839
dd02cjfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02CJFA`197314
dd02ejfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02EJFA`197801
dd03eefAnnaType`0`x`()->PartialDifferentialEquationsSolverCategory``D03EEFA`198304
dd03fafAnnaType`0`x`()->PartialDifferentialEquationsSolverCategory``D03FAFA`198443
de04dgfAnnaType`0`x`()->NumericalOptimizationCategory``E04DGFA`198574
de04fdfAnnaType`0`x`()->NumericalOptimizationCategory``E04FDFA`198994
de04gcfAnnaType`0`x`()->NumericalOptimizationCategory``E04GCFA`199414
de04jafAnnaType`0`x`()->NumericalOptimizationCategory``E04JAFA`199834
de04mbfAnnaType`0`x`()->NumericalOptimizationCategory``E04MBFA`200254
de04nafAnnaType`0`x`()->NumericalOptimizationCategory``E04NAFA`200630
de04ucfAnnaType`0`x`()->NumericalOptimizationCategory``E04UCFA`201009
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`(_$)->NonNegativeInteger`dDomainTemplate``201429
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``201499
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``201558
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,ATTRIBUTE(finiteAggregate))`201605
o#`1`x`(_$)->NonNegativeInteger`dPartition``201664
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o**`2`n`(F,F)->F`pCombinatorialFunction(R,F)``201737
o**`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`201789
o**`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``201860
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)->_$`dFreeGroup(S)``201977
o**`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonoid&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,NonNegativeInteger)->_$`cFreeMonoidCategory(S)``202055
o**`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
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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)``202133
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``202241
o**`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`202349
o**`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`202431
o**`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``202514
o**`2`n`(_$,Integer)->_$`dInputForm``202584
o**`2`n`(_$,Integer)->_$`dOperator(R)``0
o**`2`n`(_$,NonNegativeInteger)->_$`dInputForm``202659
o**`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``202734
o**`2`n`(_$,_$)->_$`dOutputForm``202789
o**`2`n`(_$,_$)->_$`dPattern(R)``202844
o**`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``202899
o**`2`x`(BasicOperator,Integer)->_$`dModuleOperator(R,M)``202999
o**`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`203032
o**`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``203253
o**`2`x`(_$,Integer)->_$`cDivisionRing``203339
o**`2`x`(_$,Integer)->_$`cGroup``203412
o**`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`203485
o**`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`203632
o**`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``203741
o**`2`x`(_$,NonNegativeInteger)->_$`cFunctionSpace(R)`has(R,SemiGroup)`203774
o**`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``203866
o**`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``203985
o**`2`x`(_$,NonNegativeInteger)->_$`cMonoid``204085
o**`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``204196
o**`2`x`(_$,PositiveInteger)->_$`cMonad``204267
o**`2`x`(_$,PositiveInteger)->_$`cSemiGroup``204367
o**`2`x`(_$,_$)->_$`cElementaryFunctionCategory``204478
o**`2`x`(_$,_$)->_$`dCardinalNumber``204536
o**`2`x`(_$,_$)->_$`dDoubleFloat``204646
o**`2`x`(_$,_$)->_$`dFloat``204739
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``204809
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``204945
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
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o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
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o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``205131
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,Vector(polR))->Vector(polR)`pPseudoRemainderSequence(R,polR)``205162
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
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o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace&(S,R)``0
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o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
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o*`2`n`(S,R)->S`xModule&(S,R)``0
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o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,R)->_$`dFreeModule1(R,S)``205258
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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)``205346
o*`2`n`(S,_$)->_$`dFreeGroup(S)``205422
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o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``205563
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``205692
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``205861
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``205926
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``206008
o*`2`n`(_$,S)->_$`cFreeMonoidCategory(S)``206070
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o*`2`x`(R,Basis)->_$`cFreeModuleCat(R,Basis)``207176
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o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``207604
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o*`2`x`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``208026
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o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,Monoid)`208368
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``208461
o*`2`x`(_$,S)->_$`cRightLinearSet(S)``208572
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o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``209534
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o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``211584
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oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``216735
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oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``217904
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oBeta`2`x`(_$,_$)->_$`dDoubleFloat``218229
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)``218294
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``218408
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oD`2`x`(_$,List(S))->_$`cPartialDifferentialSpace(S)``218789
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oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``219014
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``219084
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``219194
oEQ`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``219264
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``219354
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oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``219643
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oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`219974
oGE`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``220067
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``220156
oGT`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``220287
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``220375
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``220451
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``220611
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``220771
oGamma`1`x`(_$)->_$`dDoubleFloat``220822
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``220873
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``220961
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``221019
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``221581
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``221701
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``221906
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``222330
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``222467
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`222595
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`222842
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`223089
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLE`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``223363
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``223452
oLT`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``223567
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``223655
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``223711
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`223834
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`224017
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``224157
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``224250
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``224411
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``224513
oListOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``224613
oListOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``224707
oListOfTerms`1`x`(_$)->List(Record(k:Basis,c:R))`cFreeModuleCat(R,Basis)``224800
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``224978
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``225187
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``225277
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``225376
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``225534
oNOT`1`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``225675
oNOT`1`x`(_$)->_$`dSwitch``225763
oNot`1`n`(_$)->_$`dIndexedBits(mn)``225851
oNot`1`x`(_$)->_$`dSingleInteger``225925
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``226018
oODESolve`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Result`cOrdinaryDifferentialEquationsSolverCategory``226113
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``226243
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``226326
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``226405
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``226490
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``226583
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``226606
oOMclose`1`x`(_$)->Void`dOpenMathDevice``226631
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``226716
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``226745
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``226775
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``226801
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``226883
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``226972
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``227167
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``227243
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``227327
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``227414
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``227497
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``227590
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``227670
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``227756
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``227845
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``227930
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``228025
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``228107
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``228189
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``228273
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``228353
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``228421
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``228494
oOMgetString`1`x`(_$)->String`dOpenMathDevice``228576
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``228646
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``228716
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``228803
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``228877
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``228940
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``229015
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``229039
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``229290
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``229423
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``229506
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``229592
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``229674
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``229766
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``229845
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``229930
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``230018
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``230102
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``230196
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``230277
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``230358
oOMputError`1`x`(_$)->Void`dOpenMathDevice``230441
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``230520
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``230608
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``230700
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``230781
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``230871
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``230990
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``231084
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``231182
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``231279
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``231377
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``231503
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``231597
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``231795
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``231947
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``232061
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``232213
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``232375
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``232484
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``232631
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``232859
oOR`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``233103
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``233194
oOr`2`x`(_$,_$)->_$`dSingleInteger``233281
oPDESolve`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Result`cPartialDifferentialEquationsSolverCategory``233388
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``233518
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``233689
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``233800
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`233896
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``233958
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``234162
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``234433
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``234521
oSEGMENT`1`n`(_$)->_$`dOutputForm``234782
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``234844
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``234930
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``234994
oSFunction`1`x`(List(PositiveInteger))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``235076
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``235223
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``235308
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``235436
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``235630
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``235712
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``235758
oSturmHabichtCoefficients`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``235875
oSturmHabichtMultiple`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`235998
oSturmHabichtSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``236270
oSturmHabicht`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``236375
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``236639
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``236701
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``236760
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``236861
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``236904
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``237113
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``237154
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``237222
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`x`(_$,_$)->_$`cLogic``237382
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``237461
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``237505
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``237546
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``237592
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``237640
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``237774
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedAbelianGroup&(S)``0
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`237851
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`237980
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`238068
oabs`1`x`(_$)->_$`cOrderedAbelianGroup``238152
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``238213
oabs`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``238274
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``238341
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``238423
oaccuracyIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``238505
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``238718
oacos`1`n`(F)->F`pElementaryFunction(R,F)``238807
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``238877
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``238948
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``239019
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``239092
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``239167
oacos`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``239225
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``239294
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``239385
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``239467
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``239559
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``239651
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``239740
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``239831
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``239901
oacot`1`n`(F)->F`pElementaryFunction(R,F)``239990
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``240063
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``240137
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``240211
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``240287
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``240365
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``240426
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``240517
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``240602
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``240697
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``240792
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``240884
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``240978
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``241051
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``241140
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``241212
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``241285
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``241358
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``241433
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``241510
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``241570
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``241661
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``241745
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``241839
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``241933
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``242024
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``242117
oadaptive3D?`0`n`()->Boolean`dPlot3D``242189
oadaptive?`0`n`()->Boolean`dPlot``242265
oadaptive`0`x`()->Boolean`pGraphicsDefaults``242338
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``242416
oadaptive`1`x`(Boolean)->_$`dDrawOption``242525
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``242706
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``242914
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``243060
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``243212
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``243585
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``243823
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``244000
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``244288
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``244447
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``245220
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``245961
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``246189
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`246265
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``246441
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`246501
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`246574
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``246691
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``246763
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``246919
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``247075
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``247134
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``247206
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``247362
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``247518
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``247577
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`x`(_$,(UP)->UP)->Record(num:_$,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``247889
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``248201
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``248319
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``248456
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``248640
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``248696
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``248831
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``248965
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``249096
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``249272
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``249366
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``249455
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``249544
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``249633
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``249722
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``249811
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``249900
oalphabetic?`1`x`(_$)->Boolean`dCharacter``250009
oalphabetic`0`x`()->_$`dCharacterClass``250124
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``250250
oalphanumeric`0`x`()->_$`dCharacterClass``250392
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``250522
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``250973
oalternating`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``251336
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``251442
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``251673
oand`2`n`(_$,_$)->_$`dOutputForm``251904
oand`2`x`(_$,_$)->_$`cBooleanLogic``251961
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`252033
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``252142
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``252335
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``252528
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``252689
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``252850
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``252908
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``252946
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``253151
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`253356
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`253920
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xCollection&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`254502
oany`2`x`(SExpression,None)->_$`dAny``254744
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``254934
oappend`2`x`(_$,_$)->_$`dList(S)``255114
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`x`(Symbol,List(_$))->_$`cFunctionSpace(R)``255270
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``255345
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``255402
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``255464
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``255531
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``255603
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``255816
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``255937
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``256195
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``256352
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``256466
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``256594
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``256716
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``257030
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``257241
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(**,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`257341
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``257476
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``257614
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``257741
oarbitrary`0`x`()->_$`dArity``257873
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`257956
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`258084
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`258226
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``259523
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``259575
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``259628
oargumentList!`1`x`(List(Symbol))->Void`dTheSymbolTable``259721
oargumentList!`2`x`(Symbol,List(Symbol))->Void`dTheSymbolTable``259851
oargumentList!`3`x`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``259980
oargumentListOf`2`x`(Symbol,_$)->List(Symbol)`dTheSymbolTable``260113
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``260187
oargument`1`n`(_$)->List(S)`dKernel(S)``260265
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`260331
oarguments`1`x`(_$)->List(Syntax)`dConstructorCall(C)``260411
oarity`1`n`(S)->Arity`xConstructorCategory&(S)``0
oarity`1`x`(_$)->Arity`cOperatorCategory(S)``260523
oaromberg`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``260592
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``261378
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``261535
oasec`1`n`(F)->F`pElementaryFunction(R,F)``261624
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``261694
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``261765
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``261836
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``261909
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``261984
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``262042
oasech`1`n`(F)->F`pElementaryFunction(R,F)``262133
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``262215
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``262307
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``262399
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``262488
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``262579
oasimpson`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``262649
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``263435
oasin`1`n`(F)->F`pElementaryFunction(R,F)``263524
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``263592
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``263661
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``263730
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``263801
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``263874
oasin`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``263930
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``263999
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``264090
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``264170
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``264260
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``264350
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``264437
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``264526
oaspFilename`1`x`(String)->String`pNAGLinkSupportPackage``264594
oassert`2`x`(F,Identifier)->F`pFunctionSpaceAssertions(R,F)``264747
oassert`2`x`(Symbol,Identifier)->Expression(Integer)`pPatternMatchAssertions``264855
oassert`2`x`(_$,Identifier)->_$`dBasicOperator``264927
oassign`2`n`(_$,_$)->_$`dOutputForm``265076
oassign`2`x`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``265151
oassign`2`x`(Symbol,Expression(Float))->_$`dFortranCode``265233
oassign`2`x`(Symbol,Expression(Integer))->_$`dFortranCode``265315
oassign`2`x`(Symbol,Expression(MachineComplex))->_$`dFortranCode``265397
oassign`2`x`(Symbol,Expression(MachineFloat))->_$`dFortranCode``265479
oassign`2`x`(Symbol,Expression(MachineInteger))->_$`dFortranCode``265561
oassign`2`x`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``265643
oassign`2`x`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``265725
oassign`2`x`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``265807
oassign`2`x`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``265889
oassign`2`x`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``265971
oassign`2`x`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``266053
oassign`2`x`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``266135
oassign`2`x`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``266217
oassign`2`x`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``266299
oassign`2`x`(Symbol,String)->_$`dFortranCode``266381
oassign`2`x`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``266463
oassign`2`x`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``266545
oassign`2`x`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``266627
oassign`2`x`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``266709
oassign`2`x`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``266791
oassign`2`x`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``266873
oassign`2`x`(Symbol,Vector(MachineComplex))->_$`dFortranCode``266955
oassign`2`x`(Symbol,Vector(MachineFloat))->_$`dFortranCode``267037
oassign`2`x`(Symbol,Vector(MachineInteger))->_$`dFortranCode``267119
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``267201
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``267369
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``267537
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``267705
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``267873
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``268041
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``268209
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`268365
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``268555
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cIntegralDomain``268699
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``268827
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``268907
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``268987
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`269328
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``269669
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``269733
oatan`1`n`(F)->F`pElementaryFunction(R,F)``269822
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)``269893
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``269965
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``270037
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``270111
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``270187
oatan`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``270246
oatan`2`x`(_$,_$)->_$`dDoubleFloat``270315
oatan`2`x`(_$,_$)->_$`dFloat``270399
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``270483
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``270574
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)``270657
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``270750
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``270843
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``270933
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``271025
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``271096
oatoms`1`n`(PropositionalFormula(T))->Set(T)`dPropositionalFormulaFunctions1(T)``271162
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``271247
oatrapezoidal`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``271340
oatt2Result`1`x`(Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The botto--m of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")))->Result`pExpertSystemToolsPackage``272134
oattributeData`1`n`(_$)->List(Pair(Syntax,NonNegativeInteger))`dFunctorData``272217
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``272352
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``272448
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``272618
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``272712
oautoCoerce`1`x`(_$)->AttributeAst`cSpadAstExports``273141
oautoCoerce`1`x`(_$)->CapsuleAst`cSpadAstExports``273247
oautoCoerce`1`x`(_$)->CaseAst`cSpadAstExports``273351
oautoCoerce`1`x`(_$)->CategoryAst`cSpadAstExports``273452
oautoCoerce`1`x`(_$)->CoerceAst`cSpadAstExports``273557
oautoCoerce`1`x`(_$)->CollectAst`cSpadAstExports``273660
oautoCoerce`1`x`(_$)->ColonAst`cSpadAstExports``273764
oautoCoerce`1`x`(_$)->ConstructAst`cSpadAstExports``273867
oautoCoerce`1`x`(_$)->DefinitionAst`cSpadAstExports``273973
oautoCoerce`1`x`(_$)->DoubleFloat`dSyntax``274080
oautoCoerce`1`x`(_$)->ExitAst`cSpadAstExports``274233
oautoCoerce`1`x`(_$)->HasAst`cSpadAstExports``274334
oautoCoerce`1`x`(_$)->Identifier`cSpadAstExports``274434
oautoCoerce`1`x`(_$)->Identifier`dParameterAst``274538
oautoCoerce`1`x`(_$)->Identifier`dSyntax``274698
oautoCoerce`1`x`(_$)->IfAst`cSpadAstExports``274862
oautoCoerce`1`x`(_$)->ImportAst`cSpadAstExports``274961
oautoCoerce`1`x`(_$)->InAst`cSpadAstExports``275064
oautoCoerce`1`x`(_$)->Integer`cSpadAstExports``275163
oautoCoerce`1`x`(_$)->Integer`dSyntax``275264
oautoCoerce`1`x`(_$)->IsAst`cSpadAstExports``275421
oautoCoerce`1`x`(_$)->JoinAst`cSpadAstExports``275520
oautoCoerce`1`x`(_$)->LetAst`cSpadAstExports``275654
oautoCoerce`1`x`(_$)->MacroAst`cSpadAstExports``275754
oautoCoerce`1`x`(_$)->MappingAst`cSpadAstExports``275856
oautoCoerce`1`x`(_$)->PretendAst`cSpadAstExports``275960
oautoCoerce`1`x`(_$)->RepeatAst`cSpadAstExports``276064
oautoCoerce`1`x`(_$)->RestrictAst`cSpadAstExports``276167
oautoCoerce`1`x`(_$)->ReturnAst`cSpadAstExports``276272
oautoCoerce`1`x`(_$)->SegmentAst`cSpadAstExports``276375
oautoCoerce`1`x`(_$)->SequenceAst`cSpadAstExports``276479
oautoCoerce`1`x`(_$)->SignatureAst`cSpadAstExports``276584
oautoCoerce`1`x`(_$)->StepAst`cSpadAstExports``276690
oautoCoerce`1`x`(_$)->String`cSpadAstExports``276794
oautoCoerce`1`x`(_$)->String`dParameterAst``276894
oautoCoerce`1`x`(_$)->String`dSyntax``277046
oautoCoerce`1`x`(_$)->SuchThatAst`cSpadAstExports``277201
oautoCoerce`1`x`(_$)->T`dMaybe(T)``277306
oautoCoerce`1`x`(_$)->WhereAst`cSpadAstExports``277436
oautoCoerce`1`x`(_$)->WhileAst`cSpadAstExports``277538
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``277640
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``277817
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``277906
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``278017
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``278246
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``278491
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``278749
oback`1`x`(_$)->S`cQueueAggregate(S)``278989
obackspace`0`x`()->_$`dCharacter``279137
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``279197
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``279235
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``279273
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
obag`1`x`(List(S))->_$`cBagAggregate(S)``279405
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``279502
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``279618
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``279794
obandedHessian`3`x`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``279950
obandedJacobian`4`x`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``280527
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``281262
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``281469
obase`0`x`()->PositiveInteger`cFloatingPointSystem``281651
obase`0`x`()->_$`cIntegerNumberSystem``281741
obase`1`x`(PositiveInteger)->PositiveInteger`dMachineFloat``281829
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``281890
obase`1`x`(_$)->SpadAst`dAddAst``281952
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``282038
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``282370
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``282559
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``282798
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``282954
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``283120
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``283244
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``283417
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``283598
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``283773
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``283982
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``284107
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``284281
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``284464
obasis`0`x`()->Vector(_$)`cFramedAlgebra(R,UP)``284539
obasis`0`x`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``284602
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``284665
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``284760
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``284832
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``284898
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`284988
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``285060
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``285167
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``285217
obefore?`2`n`(S,S)->Boolean`xBasicType&(S)``0
obefore?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
obefore?`2`n`(S,S)->Boolean`xOrderedType&(S)``0
obefore?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
obefore?`2`x`(_$,_$)->Boolean`cBasicType``285317
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``285460
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``285604
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``285687
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``285767
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``285853
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``285914
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``286001
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`286088
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``286132
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``286438
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``286591
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``286680
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``286889
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``287098
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``287176
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``287265
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``287465
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``287665
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``287734
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``287823
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``288198
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``288574
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``288653
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``288742
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``289114
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``289486
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`289556
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``289692
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`289797
obfEntry`1`x`(Symbol)->Record(zeros:Stream(DoubleFloat),ones:Stream(DoubleFloat),singularities:Stream(DoubleFloat))`dBasicFunctions``289949
obfKeys`0`x`()->List(Symbol)`dBasicFunctions``290058
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``290156
obigEndian`0`n`()->_$`dByteOrder``290532
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``290582
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``290634
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``290682
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``290800
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``290905
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``291034
obinary`2`n`(_$,List(_$))->_$`dInputForm``291108
obinding`2`x`(Identifier,List(Property))->_$`dBinding``291216
obindings`1`x`(_$)->List(Binding)`dContour``291309
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`291386
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``291483
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``291644
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``291686
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``291784
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``291986
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``292174
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``292461
obirth`1`n`(_$)->_$`dSubSpace(n,R)``292700
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``292737
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``292832
obitLength`1`n`(Integer)->Integer`pIntegerBits``292908
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``292989
obitand`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``293082
obitand`2`n`(_$,_$)->_$`dUInt16``0
obitand`2`n`(_$,_$)->_$`dUInt32``0
obitand`2`n`(_$,_$)->_$`dUInt64``0
obitand`2`n`(_$,_$)->_$`dUInt8``0
obitand`2`x`(_$,_$)->_$`dByte``293150
obitior`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``293218
obitior`2`n`(_$,_$)->_$`dUInt16``0
obitior`2`n`(_$,_$)->_$`dUInt32``0
obitior`2`n`(_$,_$)->_$`dUInt64``0
obitior`2`n`(_$,_$)->_$`dUInt8``0
obitior`2`x`(_$,_$)->_$`dByte``293295
obits`0`x`()->PositiveInteger`cFloatingPointSystem``293380
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`293438
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``293531
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``293601
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``293715
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``293879
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``294091
oblock`1`x`(List(_$))->_$`dFortranCode``294186
oblue`0`x`()->_$`dColor``294276
oblue`1`x`(_$)->T`cRGBColorModel(T)``294351
obody`1`n`(_$)->SpadAst`dReduceAst``294410
obody`1`n`(_$)->Syntax`dAnonymousFunction``294478
obody`1`x`(_$)->List(SpadAst)`dCapsuleAst``294546
obody`1`x`(_$)->List(SpadAst)`dCategoryAst``294628
obody`1`x`(_$)->List(SpadAst)`dCommaAst``294702
obody`1`x`(_$)->List(SpadAst)`dSequenceAst``294771
obody`1`x`(_$)->SpadAst`dAddAst``294861
obody`1`x`(_$)->SpadAst`dCollectAst``294941
obody`1`x`(_$)->SpadAst`dDefinitionAst``295032
obody`1`x`(_$)->SpadAst`dMacroAst``295105
obody`1`x`(_$)->SpadAst`dRepeatAst``295178
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``295234
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``295311
obothWays`0`n`()->_$`dIOMode``295395
obottom!`1`x`(_$)->S`cDequeueAggregate(S)``295477
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`295559
obounds`1`x`(_$)->List(SpadAst)`dSegmentAst``295627
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``295772
obox`1`x`(List(_$))->_$`cExpressionSpace``295821
obox`1`x`(_$)->_$`cExpressionSpace``296122
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`x`()->_$`cSetAggregate(S)``296359
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(_$))->_$`dOutputForm``296535
obrace`1`n`(_$)->_$`dOutputForm``296666
obrace`1`x`(List(S))->_$`cSetAggregate(S)``296753
obracket`1`n`(List(_$))->_$`dOutputForm``296927
obracket`1`n`(_$)->_$`dOutputForm``297061
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``297142
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``297308
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``297474
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``297550
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``297629
obright`1`x`(Color)->_$`dPalette``297714
obright`1`x`(List(String))->List(String)`pDisplayPackage``297808
obright`1`x`(String)->List(String)`pDisplayPackage``297910
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``297999
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``298159
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``298460
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``298556
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``298693
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``298734
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``298777
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``299037
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`299561
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``299604
obuildSyntax`2`x`(Identifier,List(_$))->_$`dSyntax``299649
obuildSyntax`2`x`(_$,List(_$))->_$`dSyntax``299754
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``299859
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``299900
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``300065
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``300206
obyteBuffer`1`x`(NonNegativeInteger)->_$`dByteBuffer``300347
obyte`1`x`(NonNegativeInteger)->_$`dByte``300430
obytes`1`x`(_$)->DataArray(4,Byte)`dIP4Address``300558
oc02aff`4`x`(Matrix(DoubleFloat),Integer,Boolean,Integer)->Result`pNagPolynomialRootsPackage``300627
oc02agf`4`x`(Matrix(DoubleFloat),Integer,Boolean,Integer)->Result`pNagPolynomialRootsPackage``300804
oc05adf`6`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagRootFindingPackage``300978
oc05nbf`6`x`(Integer,Integer,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp6(FCN)))->Result`pNagRootFindingPackage``301213
oc05pbf`7`x`(Integer,Integer,Integer,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp35(FCN)))->Result`pNagRootFindingPackage``301430
oc06eaf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301690
oc06ebf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301884
oc06ecf`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``302091
oc06ekf`5`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``302290
oc06fpf`6`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``302481
oc06fqf`6`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``302755
oc06frf`7`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``303042
oc06fuf`8`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``303321
oc06gbf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``303599
oc06gcf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``303729
oc06gqf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``303873
oc06gsf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``304022
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304267
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304393
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304536
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304665
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304811
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304939
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305084
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305210
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305353
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305477
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305618
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305745
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305889
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306011
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306145
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306270
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306407
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306531
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306667
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306794
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306919
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`307061
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`307166
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`307288
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`307422
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`307542
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`307674
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`307797
ocache`0`n`()->List(S)`pSortedCache(S)``307932
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``307991
ocallForm?`1`x`(_$)->Boolean`dElaboratedExpression``308033
ocall`1`x`(String)->_$`dFortranCode``308106
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``308181
ocapacity`1`x`(_$)->NonNegativeInteger`dByteBuffer``308293
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``308370
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``308420
ocarriageReturn`0`x`()->_$`dCharacter``308536
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``308593
ocase`2`n`(_$,[||](false))->Boolean`dKleeneTrivalentLogic``308675
ocase`2`n`(_$,[||](true))->Boolean`dKleeneTrivalentLogic``308739
ocase`2`n`(_$,[||](unknown))->Boolean`dKleeneTrivalentLogic``308802
ocase`2`x`(_$,[||](AttributeAst))->Boolean`cSpadAstExports``308870
ocase`2`x`(_$,[||](CapsuleAst))->Boolean`cSpadAstExports``308942
ocase`2`x`(_$,[||](CaseAst))->Boolean`cSpadAstExports``309016
ocase`2`x`(_$,[||](CategoryAst))->Boolean`cSpadAstExports``309088
ocase`2`x`(_$,[||](CoerceAst))->Boolean`cSpadAstExports``309166
ocase`2`x`(_$,[||](CollectAst))->Boolean`cSpadAstExports``309242
ocase`2`x`(_$,[||](ColonAst))->Boolean`cSpadAstExports``309320
ocase`2`x`(_$,[||](ConstructAst))->Boolean`cSpadAstExports``309394
ocase`2`x`(_$,[||](DefinitionAst))->Boolean`cSpadAstExports``309471
ocase`2`x`(_$,[||](DoubleFloat))->Boolean`dSyntax``309544
ocase`2`x`(_$,[||](ExitAst))->Boolean`cSpadAstExports``309623
ocase`2`x`(_$,[||](HasAst))->Boolean`cSpadAstExports``309696
ocase`2`x`(_$,[||](Identifier))->Boolean`cSpadAstExports``309766
ocase`2`x`(_$,[||](Identifier))->Boolean`dParameterAst``309837
ocase`2`x`(_$,[||](Identifier))->Boolean`dSyntax``309943
ocase`2`x`(_$,[||](IfAst))->Boolean`cSpadAstExports``310021
ocase`2`x`(_$,[||](ImportAst))->Boolean`cSpadAstExports``310089
ocase`2`x`(_$,[||](InAst))->Boolean`cSpadAstExports``310167
ocase`2`x`(_$,[||](Integer))->Boolean`cSpadAstExports``310232
ocase`2`x`(_$,[||](Integer))->Boolean`dSyntax``310305
ocase`2`x`(_$,[||](IsAst))->Boolean`cSpadAstExports``310377
ocase`2`x`(_$,[||](JoinAst))->Boolean`cSpadAstExports``310446
ocase`2`x`(_$,[||](LetAst))->Boolean`cSpadAstExports``310551
ocase`2`x`(_$,[||](MacroAst))->Boolean`cSpadAstExports``310629
ocase`2`x`(_$,[||](MappingAst))->Boolean`cSpadAstExports``310703
ocase`2`x`(_$,[||](PretendAst))->Boolean`cSpadAstExports``310775
ocase`2`x`(_$,[||](RepeatAst))->Boolean`cSpadAstExports``310853
ocase`2`x`(_$,[||](RestrictAst))->Boolean`cSpadAstExports``310924
ocase`2`x`(_$,[||](ReturnAst))->Boolean`cSpadAstExports``311004
ocase`2`x`(_$,[||](SegmentAst))->Boolean`cSpadAstExports``311079
ocase`2`x`(_$,[||](SequenceAst))->Boolean`cSpadAstExports``311157
ocase`2`x`(_$,[||](SignatureAst))->Boolean`cSpadAstExports``311240
ocase`2`x`(_$,[||](StepAst))->Boolean`cSpadAstExports``311318
ocase`2`x`(_$,[||](String))->Boolean`cSpadAstExports``311412
ocase`2`x`(_$,[||](String))->Boolean`dParameterAst``311482
ocase`2`x`(_$,[||](String))->Boolean`dSyntax``311566
ocase`2`x`(_$,[||](SuchThatAst))->Boolean`cSpadAstExports``311635
ocase`2`x`(_$,[||](T))->Boolean`dMaybe(T)``311716
ocase`2`x`(_$,[||](WhereAst))->Boolean`cSpadAstExports``311808
ocase`2`x`(_$,[||](WhileAst))->Boolean`cSpadAstExports``311900
ocase`2`x`(_$,[||](nothing))->Boolean`dMaybe(T)``311971
ocategories`1`n`(_$)->PrimitiveArray(ConstructorCall(CategoryConstructor))`dFunctorData``312044
ocategories`1`x`(_$)->List(TypeAst)`dJoinAst``312178
ocategoryFrame`0`x`()->_$`dEnvironment``312241
ocategoryMode`0`n`()->_$`dInternalTypeForm``312301
ocategory`0`n`()->_$`dConstructorKind``312366
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``312421
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`312480
oceiling`1`x`(_$)->_$`cRealNumberSystem``312559
ocenter`1`n`(_$)->_$`dOutputForm``312622
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``312684
ocenter`2`n`(_$,Integer)->_$`dOutputForm``312771
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``312851
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``313131
ocentral?`3`x`(DoubleFloat,DoubleFloat,List(Expression(DoubleFloat)))->Boolean`pd03AgentsPackage``313444
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``313490
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``313715
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``313758
ochangeBase`3`x`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``313900
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``313955
ochangeMeasure`3`x`(_$,Symbol,Float)->_$`dRoutinesTable``314106
ochangeNameToObjf`2`x`(Symbol,Result)->Result`pe04AgentsPackage``314214
ochangeName`3`x`(Symbol,Symbol,Result)->Result`pd01AgentsPackage``314321
ochangeThreshhold`3`x`(_$,Symbol,Float)->_$`dRoutinesTable``314436
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``314622
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``314705
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``314788
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``314926
ocharClass`1`x`(List(Character))->_$`dCharacterClass``315059
ocharClass`1`x`(String)->_$`dCharacterClass``315178
ochar`1`x`(NonNegativeInteger)->_$`dCharacter``315299
ochar`1`x`(String)->_$`dCharacter``315439
ocharacter?`1`x`(_$)->Boolean`dFortranScalarType``315520
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``315616
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``315725
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``315906
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``316072
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``316232
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``316381
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``316557
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``316740
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``316896
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``317167
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``317297
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``317677
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``317803
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``318572
ocharacteristic`0`x`()->NonNegativeInteger`cRing``318643
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``318851
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`x`(_$)->Maybe(_$)`cCharacteristicNonZero``319098
ocharthRoot`1`x`(_$)->Maybe(_$)`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`319216
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``319343
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``319469
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``319761
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``319950
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``320237
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``320421
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``320676
ocheckPrecision`0`x`()->Boolean`pNAGLinkSupportPackage``320947
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``320994
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``321113
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``321239
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``321275
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``321317
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`321358
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``321436
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(_$)->List(_$)`dSubSpace(n,R)``321475
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``321515
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``321595
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``321852
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)``322126
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``322180
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``322375
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``322413
oclearCache`0`n`()->Void`pSortedCache(S)``322766
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``322812
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``322970
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``323128
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``323273
oclearFortranOutputStack`0`x`()->Stack(String)`pFortranOutputStackPackage``323422
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``323494
oclearTheFTable`0`x`()->Void`dIntegrationFunctionsTable``323589
oclearTheIFTable`0`x`()->Void`dODEIntensityFunctionsTable``323659
oclearTheSymbolTable`0`x`()->Void`dTheSymbolTable``323740
oclearTheSymbolTable`1`x`(Symbol)->Void`dTheSymbolTable``323809
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``323889
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``323936
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``324150
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``324519
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``324916
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``325010
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``325175
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325478
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325824
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``326099
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``326380
oclip`1`x`(Boolean)->_$`dDrawOption``326664
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``326828
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``326986
oclose!`1`x`(_$)->_$`cConduit``327295
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``327429
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``327507
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``327972
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``328176
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``328384
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``328423
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``328462
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``328541
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``328777
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``329040
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``329383
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``329914
oclosed`0`n`()->_$`dIOMode``330179
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``330247
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`330336
ocode`1`x`(_$)->Union(nullBranch:"null",assignmentBranch:Record(var:Symbol,arrayIndex:List(Polynomial(Integer)),rand:Record(ints2Floats?:Boolean,expr:OutputForm)),arrayAssignmentBranch:Record(var:Symbol,rand:OutputForm,ints2Floats?:Boolean),conditionalBranch:Record(switch:Switch,thenClause:_$,elseClause:_$),returnBranch:Record(empty?:Boolean,value:Record(ints2Floats?:Boolean,expr:OutputForm)),blockBranch:List(_$),commentBranch:List(String),callBranch:String,forBranch:Record(range:SegmentBinding(--Polynomial(Integer)),span:Polynomial(Integer),body:_$),labelBranch:SingleInteger,loopBranch:Record(switch:Switch,body:_$),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``330417
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``330514
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``330555
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``330671
ocoef`2`x`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``330838
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``330920
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``331050
ocoefficient`2`n`(_$,M)->R`dMonoidRing(R,M)``331095
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``331221
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``331295
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``331486
ocoefficient`2`x`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``331705
ocoefficient`2`x`(_$,Basis)->R`cFreeModuleCat(R,Basis)``331855
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``331935
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,Q)``332102
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``332216
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``332290
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``332397
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`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``332504
ocoefficient`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``332630
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``332845
ocoefficient`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``332929
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(R)`dMonoidRing(R,M)``333084
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``333147
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``333488
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCat(R,Basis)``333582
ocoefficients`1`x`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``333658
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``333750
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`333900
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`334212
ocoerceL`1`x`(OutputForm)->String`dMathMLFormat``334524
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``334653
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``334947
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``335080
ocoerceS`1`x`(OutputForm)->String`dMathMLFormat``335294
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)``335414
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``335501
ocoerce`1`n`(Fraction(Integer))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Fraction(Integer))->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Fraction(Integer))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``335588
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xRing&(S)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``335723
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``335781
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``336038
ocoerce`1`n`(List(Record(coef:R,monom:M)))->_$`dMonoidRing(R,M)``336542
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
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)->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`(S)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(S)->A`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(S)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(S)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`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)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``336636
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dInnerAlgebraicNumber``336718
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Syntax)->S`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``336790
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``336928
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``337066
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``337175
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``337240
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``337280
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``337369
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``337471
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``337560
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``337662
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``337836
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``337977
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``338093
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``338221
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``338373
ocoerce`1`n`(_$)->OutputForm`dGraphImage``338524
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``338672
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``338854
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``338892
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``338930
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``338968
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``339011
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``339100
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``339186
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``339275
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``339359
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``339442
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``339605
ocoerce`1`x`(Character)->_$`cStringAggregate``339762
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``339853
ocoerce`1`x`(Color)->_$`dPalette``339930
ocoerce`1`x`(Complex(Float))->_$`dMachineComplex``340034
ocoerce`1`x`(Complex(Integer))->_$`dMachineComplex``340100
ocoerce`1`x`(Complex(MachineFloat))->_$`dMachineComplex``340166
ocoerce`1`x`(Complex(MachineInteger))->_$`dMachineComplex``340232
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``340298
ocoerce`1`x`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``340357
ocoerce`1`x`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``340398
ocoerce`1`x`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``340439
ocoerce`1`x`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``340480
ocoerce`1`x`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``340521
ocoerce`1`x`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``340562
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``340603
ocoerce`1`x`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``340760
ocoerce`1`x`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``340800
ocoerce`1`x`(Expression(Integer))->Expression(_$)`dMachineInteger``340840
ocoerce`1`x`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``340913
ocoerce`1`x`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``340953
ocoerce`1`x`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``340993
ocoerce`1`x`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``341033
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``341073
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``341517
ocoerce`1`x`(FortranCode)->_$`cFortranFunctionCategory``341964
ocoerce`1`x`(FortranCode)->_$`cFortranMatrixCategory``342081
ocoerce`1`x`(FortranCode)->_$`cFortranMatrixFunctionCategory``342198
ocoerce`1`x`(FortranCode)->_$`cFortranVectorCategory``342315
ocoerce`1`x`(FortranCode)->_$`cFortranVectorFunctionCategory``342432
ocoerce`1`x`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``342549
ocoerce`1`x`(FortranExpression(construct('X),construct('Y),MachineFloat))->_$`dAsp9(name)``342590
ocoerce`1`x`(FortranExpression(construct('X),construct,MachineFloat))->_$`dAsp1(name)``342723
ocoerce`1`x`(FortranExpression(construct,construct('X),MachineFloat))->_$`dAsp4(name)``342856
ocoerce`1`x`(FortranExpression(construct,construct('X),MachineFloat))->_$`dAsp49(name)``342989
ocoerce`1`x`(FortranExpression(construct,construct('XC),MachineFloat))->_$`dAsp24(name)``343122
ocoerce`1`x`(FortranScalarType)->_$`dFortranType``343255
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``343317
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``343384
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``343676
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`343826
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`343888
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``343950
ocoerce`1`x`(Integer)->_$`dOrdSetInts``344030
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``344100
ocoerce`1`x`(List(FortranCode))->_$`cFortranFunctionCategory``344193
ocoerce`1`x`(List(FortranCode))->_$`cFortranMatrixCategory``344315
ocoerce`1`x`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``344437
ocoerce`1`x`(List(FortranCode))->_$`cFortranVectorCategory``344559
ocoerce`1`x`(List(FortranCode))->_$`cFortranVectorFunctionCategory``344681
ocoerce`1`x`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``344803
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``344845
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``345169
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``345271
ocoerce`1`x`(List(S))->_$`dPermutation(S)``345355
ocoerce`1`x`(List(TypeAst))->_$`dImportAst``345583
ocoerce`1`x`(List(TypeAst))->_$`dJoinAst``345656
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``345723
ocoerce`1`x`(MachineInteger)->_$`dMachineFloat``345807
ocoerce`1`x`(Matrix(FortranExpression(construct('X),construct,MachineFloat)))->_$`dAsp77(name)``345879
ocoerce`1`x`(Matrix(FortranExpression(construct('X,'Y),construct,MachineFloat)))->_$`dAsp74(name)``346012
ocoerce`1`x`(Matrix(FortranExpression(construct('XL,'XR,'ELAM),construct,MachineFloat)))->_$`dAsp80(name)``346145
ocoerce`1`x`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``346278
ocoerce`1`x`(OutputForm)->String`dMathMLFormat``346355
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``346445
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``346514
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``346640
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`346741
ocoerce`1`x`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``346803
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``346932
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``347018
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``347108
ocoerce`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->_$`dNumericalOptimizationProblem``347174
ocoerce`1`x`(Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalIntegrationProblem``347214
ocoerce`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->_$`dNumericalOptimizationProblem``347254
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``347294
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``347486
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``347678
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``347870
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``348062
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``348254
ocoerce`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->_$`dNumericalPDEProblem``348294
ocoerce`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalIntegrationProblem``348334
ocoerce`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalODEProblem``348374
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``348414
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``348517
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``348598
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``348825
ocoerce`1`x`(S)->_$`cCoercibleFrom(S)``349160
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``349224
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``349320
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``349395
ocoerce`1`x`(Signature)->_$`dMappingAst``349529
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``349598
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`349670
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``349732
ocoerce`1`x`(String)->_$`dFortranScalarType``349791
ocoerce`1`x`(String)->_$`dIndexCard``350080
ocoerce`1`x`(Symbol)->_$`dFortranScalarType``350253
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``350517
ocoerce`1`x`(Symbol)->_$`dSwitch``350761
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``350801
ocoerce`1`x`(Union(nia:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),mdnia:Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat)))->_$`dNumericalIntegrationProblem``350864
ocoerce`1`x`(Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat))))->_$`dNumericalOptimizationProblem``350904
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``350944
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``351021
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``351099
ocoerce`1`x`(Vector(FortranExpression(construct('EPS),construct('YA,'YB),MachineFloat)))->_$`dAsp42(nameOne,nameTwo,nameThree)``351188
ocoerce`1`x`(Vector(FortranExpression(construct('JINT,'X,'ELAM),construct,MachineFloat)))->_$`dAsp10(name)``351321
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct('Y),MachineFloat)))->_$`dAsp31(name)``351454
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct('Y),MachineFloat)))->_$`dAsp7(name)``351587
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct,MachineFloat)))->_$`dAsp78(name)``351720
ocoerce`1`x`(Vector(FortranExpression(construct('X,'EPS),construct('Y),MachineFloat)))->_$`dAsp41(nameOne,nameTwo,nameThree)``351853
ocoerce`1`x`(Vector(FortranExpression(construct('X,'Y),construct,MachineFloat)))->_$`dAsp73(name)``351986
ocoerce`1`x`(Vector(FortranExpression(construct,construct('X),MachineFloat)))->_$`dAsp35(name)``352119
ocoerce`1`x`(Vector(FortranExpression(construct,construct('X),MachineFloat)))->_$`dAsp55(name)``352252
ocoerce`1`x`(Vector(FortranExpression(construct,construct('XC),MachineFloat)))->_$`dAsp19(name)``352385
ocoerce`1`x`(Vector(FortranExpression(construct,construct('XC),MachineFloat)))->_$`dAsp50(name)``352518
ocoerce`1`x`(Vector(MachineFloat))->_$`cFortranVectorCategory``352651
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``352728
ocoerce`1`x`(_$)->Complex(Float)`dMachineComplex``352935
ocoerce`1`x`(_$)->DoubleFloat`dSyntax``353000
ocoerce`1`x`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``353068
ocoerce`1`x`(_$)->Float`dMachineFloat``353108
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``353178
ocoerce`1`x`(_$)->Identifier`dSyntax``353280
ocoerce`1`x`(_$)->Integer`dSyntax``353348
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``353419
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``353490
ocoerce`1`x`(_$)->OutputForm`dTableau(S)``353575
ocoerce`1`x`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``353646
ocoerce`1`x`(_$)->SExpression`dFortranScalarType``353719
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``353800
ocoerce`1`x`(_$)->String`dSyntax``353866
ocoerce`1`x`(_$)->Symbol`dFortranScalarType``353935
ocoerce`1`x`(_$)->Table(Symbol,FortranType)`dSymbolTable``354003
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``354060
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``354144
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``354228
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``354270
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``355031
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``355165
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``355315
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``355468
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``355606
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``355915
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``356098
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``356306
ocolor`1`n`(Point(R))->R`pPointPackage(R)``356530
ocolor`1`x`(Integer)->_$`dColor``356843
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``356913
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``357039
ocombineFeatureCompatibility`2`x`(Float,Float)->Float`pd02AgentsPackage``357161
ocombineFeatureCompatibility`2`x`(Float,List(Float))->Float`pd02AgentsPackage``357240
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``357318
ocommaSeparate`1`x`(List(String))->String`pd01AgentsPackage``357413
ocomment`1`x`(List(String))->_$`dFortranCode``357502
ocomment`1`x`(String)->_$`dFortranCode``357609
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``357711
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``357820
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``357929
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``358032
ocommon`2`x`(Symbol,List(Symbol))->_$`dFortranCode``358139
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``358222
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``358306
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``358390
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(_$,_$)->_$`cGroup``358507
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``358578
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``358632
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``358874
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``358918
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``359119
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``359283
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``359546
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``359585
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``359901
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``360092
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`360300
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``360431
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``360551
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``360946
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``361215
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``361417
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``361586
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``361783
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``362022
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``362169
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``362233
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``362382
ocomplex?`1`x`(_$)->Boolean`dFortranScalarType``362635
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``362727
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``362973
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``363339
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``363484
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``363629
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``363811
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``363993
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``364089
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``364185
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``364247
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``364309
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`364432
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``364555
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``364646
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``364770
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``364894
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``365010
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``365126
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``365264
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365402
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365537
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`365672
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`365807
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`365942
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`366075
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366210
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366378
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`366546
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`366714
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`366852
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`367020
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`367188
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`367265
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`367342
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`367419
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`367496
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`367573
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`367650
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``367727
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`367804
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`367914
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`368024
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`368134
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`368244
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`368323
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`368433
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``368543
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``368653
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``368835
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``369147
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``369385
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``369605
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``369831
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``370053
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``370252
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``370385
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``370590
ocomponentUpperBound`0`x`()->T`cRGBColorModel(T)``370646
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``370717
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``371037
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``371512
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``371837
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``372078
ocompose`2`x`(UP,UP)->UP`pPolynomialComposition(UP,R)``372172
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``372213
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`372412
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`372536
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``372643
ocompound?`1`x`(_$)->Boolean`dSyntax``372992
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``373067
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``373108
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``373297
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``373466
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``373878
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``373922
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`374009
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`374160
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``374295
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`374399
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`x`(List(Result))->Result`pExpertSystemToolsPackage``374562
oconcat`1`x`(List(_$))->_$`cLinearAggregate(S)``374647
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``374997
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`x`(Result,Result)->Result`pExpertSystemToolsPackage``375133
oconcat`2`x`(S,_$)->_$`cLinearAggregate(S)``375207
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``375385
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``375623
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``375809
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``376179
oconcat`2`x`(_$,_$)->_$`dRoutinesTable``376359
ocond`2`x`(Switch,_$)->_$`dFortranCode``376425
ocond`3`x`(Switch,_$,_$)->_$`dFortranCode``376529
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``376649
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`376862
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``377131
ocondition`1`x`(_$)->SpadAst`dIfAst``377210
ocondition`1`x`(_$)->SpadAst`dWhileAst``377285
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`377361
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``377537
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``377714
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`377891
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``378100
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``378310
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``378393
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`378731
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`x`(List(PositiveInteger))->List(PositiveInteger)`pPartitionsAndPermutations``378786
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``378859
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``378934
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``379086
oconjugate`1`x`(_$)->_$`dPartition``379165
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``379248
oconjugates`1`x`(Stream(List(PositiveInteger)))->Stream(List(PositiveInteger))`pPartitionsAndPermutations``379348
oconjunction`2`x`(_$,_$)->_$`dPropositionalFormula(T)``379456
oconnectTo`2`x`(Hostname,PortNumber)->Maybe(_$)`dInetClientStreamSocket``0
oconnectTo`2`x`(T,PortNumber)->Maybe(_$)`cNetworkClientSocket(T)``0
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``379556
ocons`2`x`(S,_$)->_$`dList(S)``379834
ocons`2`x`(S,_$)->_$`dStream(S)``380002
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``380147
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``380188
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``380402
oconstant?`1`n`(_$)->Boolean`dPattern(R)``380506
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``380583
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``380681
oconstant?`1`x`(_$)->Boolean`dElaboratedExpression``380753
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``380822
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``381253
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``381298
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``381344
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``381444
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``381590
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``381705
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``381806
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``382032
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``382096
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``382183
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``382340
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``382461
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``382526
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``382662
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``382765
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``382851
oconstruct`1`x`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``383199
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``383298
oconstruct`1`x`(List(S))->_$`cCollection(S)``383353
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``383676
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``383743
oconstruct`2`n`(Identifier,Signature)->_$`dOperatorSignature``383786
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``383897
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``383998
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``384099
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``384145
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``384265
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``384385
oconstruct`2`x`(S,T)->_$`dPair(S,T)``384486
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``384577
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``384689
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``384833
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``385078
oconstruct`3`x`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``385284
oconstruct`3`x`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``385353
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``385422
oconstructor`1`x`(_$)->C`dConstructorCall(C)``385703
oconstructor`1`x`(_$)->CategoryConstructor`dCategory``385791
oconstructor`1`x`(_$)->DomainConstructor`dDomain``385898
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``386005
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``386151
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`386231
ocontent`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`386314
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`386392
ocontinue`1`x`(SingleInteger)->_$`dFortranCode``386675
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``386771
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``386883
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``386995
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``387143
ocontours`1`x`(_$)->List(Contour)`dScope``387369
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``387443
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``387714
ocontract`2`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``388009
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``388108
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``388442
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``388871
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``389111
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``389355
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)``389539
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``389620
oconvert`1`n`(List(_$))->_$`dPattern(R)``389723
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`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`(SExpression)->_$`dInputForm``389798
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`389858
oconvert`1`x`(List(Segment(OrderedCompletion(Float))))->List(Segment(OrderedCompletion(DoubleFloat)))`pExpertSystemToolsPackage``390034
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``390185
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``390229
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`390273
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`390353
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`390433
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``390513
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`390557
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->_$`cConvertibleFrom(S)``390734
oconvert`1`x`(SExpression)->_$`dSyntax``390799
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``391013
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``391057
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``391118
oconvert`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``391272
oconvert`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``391410
oconvert`1`x`(_$)->SExpression`dSyntax``391572
oconvert`1`x`(_$)->S`cConvertibleTo(S)``391657
oconvert`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``391724
oconvert`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``391834
oconvert`2`x`(OutputForm,Integer)->_$`dTexFormat``391944
oconvert`3`x`(OutputForm,Integer,OutputForm)->_$`dTexFormat``392221
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``392519
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``392651
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``392685
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``392887
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``393100
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``393318
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``393532
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``393683
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``393896
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``394109
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``394278
ocoordinates`1`x`(_$)->Vector(K)`dLinearElement(K,B)``394397
ocoordinates`1`x`(_$)->Vector(K)`dLinearForm(K,B)``394507
ocoordinates`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``394624
ocoordinates`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``394738
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`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``394852
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``395000
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``395227
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``395430
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``395548
ocopies`2`x`(Integer,String)->String`pDisplayPackage``395696
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``395815
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`395958
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`dPattern(R)``396076
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``396136
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``396194
ocopy`1`x`(_$)->_$`cAggregate``396230
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``396394
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``396442
ocopy`1`x`(_$)->_$`dBasicOperator``396535
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)``396587
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``396643
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``396741
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``396828
ocos`1`n`(E)->_$`dFourierComponent(E)``397060
ocos`1`n`(F)->F`pElementaryFunction(R,F)``397126
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``397187
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``397254
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``397321
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``397389
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``397459
ocos`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``397512
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``397579
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``397681
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``397770
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``397843
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``397926
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``398009
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``398089
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``398171
ocosh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``398236
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``398305
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``398403
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``398507
ocot`1`n`(F)->F`pElementaryFunction(R,F)``398594
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``398658
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``398728
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``398798
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``398869
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``398942
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``398998
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``399100
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``399209
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``399298
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``399374
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``399460
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``399546
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``399629
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``399714
ocountRealRootsMultiple`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`399782
ocountRealRoots`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``399889
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(S,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`x`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`399959
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`400212
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``400400
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``400538
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``400680
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``400822
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``401019
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``401173
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``401527
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``401735
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``401855
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`402148
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``402419
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``402546
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``402762
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``402873
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``403071
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``403204
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``403313
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``403472
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403908
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``403944
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403986
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``404020
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``404057
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``404096
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``404130
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``404168
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``404202
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``404241
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``404461
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`404611
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``404761
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``404975
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``405073
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``405160
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``405223
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``405292
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``405361
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``405431
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``405503
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``405558
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``405660
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``405749
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``405824
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``405909
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``405994
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``406076
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``406160
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``406227
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``406278
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``406315
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``406358
ocurrentCategoryFrame`0`x`()->_$`dScope``406549
ocurrentEnv`0`x`()->_$`dEnvironment``406634
ocurrentScope`0`x`()->_$`dScope``406683
ocurrentSubProgram`0`x`()->Symbol`dTheSymbolTable``406750
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``406843
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``406942
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``407042
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``407131
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``407356
ocurveColor`1`x`(Float)->_$`dDrawOption``407582
ocurveColor`1`x`(Palette)->_$`dDrawOption``407725
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``407895
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``408085
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``408324
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``408425
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``408773
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``408938
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``409058
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``409205
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``409341
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``409481
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``409624
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`409843
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``410249
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``410339
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``410566
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``410896
ocyclic?`1`x`(_$)->Boolean`dTree(S)``410952
ocyclicCopy`1`x`(_$)->_$`dTree(S)``411013
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``411092
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``411176
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``411262
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``411443
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``411561
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`411647
ocyclic`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``412277
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``412373
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``412430
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``412487
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``412531
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``412735
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``412779
od01ajf`8`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``413010
od01akf`8`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``413264
od01alf`10`x`(DoubleFloat,DoubleFloat,Integer,Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``413578
od01amf`8`x`(DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``413844
od01anf`10`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``414086
od01apf`11`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``414304
od01aqf`9`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``414584
od01asf`9`x`(DoubleFloat,DoubleFloat,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``414793
od01bbf`6`x`(DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer)->Result`pNagIntegrationPackage``415006
od01fcf`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp4(FUNCTN)))->Result`pNagIntegrationPackage``415251
od01gaf`4`x`(Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer)->Result`pNagIntegrationPackage``415551
od01gbf`10`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp4(FUNCTN)))->Result`pNagIntegrationPackage``415865
od02bbf`10`x`(DoubleFloat,Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``416219
od02bhf`10`x`(DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)))->Result`pNagOrdinaryDifferentialEquationsPackage``416552
od02cjf`11`x`(DoubleFloat,Integer,Integer,DoubleFloat,String,DoubleFloat,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``416882
od02ejf`13`x`(DoubleFloat,Integer,Integer,String,Integer,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp31(PEDERV)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``417320
od02gaf`13`x`(Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp7(FCN)))->Result`pNagOrdinaryDifferentialEquationsPackage``417832
od02gbf`15`x`(DoubleFloat,DoubleFloat,Integer,DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp77(FCNF)),Union(fn:FileName,fp:Asp78(FCNG)))->Result`pNagOrdinaryDifferentialEquationsPackage``418136
od02kef`13`x`(Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp10(COEFFN)),Union(fn:FileName,fp:Asp80(BDYVAL)))->Result`pNagOrdinaryDifferentialEquationsPackage``418407
od02kef`15`x`(Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp10(COEFFN)),Union(fn:FileName,fp:Asp80(BDYVAL)),FileName,FileName)->Result`pNagOrdinaryDifferentialEquationsPackage``419046
od02raf`17`x`(Integer,Integer,Integer,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp41(FCN,JACOBF,JACEPS)),Union(fn:FileName,fp:Asp42(G,JACOBG,JACGEP)))->Result`pNagOrdinaryDifferentialEquationsPackage``419692
od03edf`10`x`(Integer,Integer,Integer,Integer,DoubleFloat,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagPartialDifferentialEquationsPackage``420033
od03eef`11`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,String,Integer,Union(fn:FileName,fp:Asp73(PDEF)),Union(fn:FileName,fp:Asp74(BNDY)))->Result`pNagPartialDifferentialEquationsPackage``420339
od03faf`24`x`(DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,ThreeDimensionalMatrix(DoubleFloat),Integer)->Result`pNagPartialDifferentialEquationsPackage``420558
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``420958
odark`1`x`(Color)->_$`dPalette``421378
odatalist`1`x`(List(S))->_$`dDataList(S)``421470
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``421529
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``421818
odebug`1`n`(Boolean)->Boolean`dPlot``421911
odec`1`x`(_$)->_$`cIntegerNumberSystem``421998
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``422041
odeclare!`2`x`(Symbol,FortranType)->FortranType`dTheSymbolTable``422117
odeclare!`3`x`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``422241
odeclare!`3`x`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``422359
odeclare!`3`x`(Symbol,FortranType,_$)->FortranType`dSymbolTable``422460
odeclare!`4`x`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``422571
odeclare!`4`x`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``422715
odeclare`1`n`(List(_$))->Symbol`dInputForm``422858
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``423207
odecompose`1`x`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``423442
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``423484
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``423566
odecompose`3`x`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``423918
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`423964
odecrease`1`x`(String)->Float`dAttributeButtons``424104
odecrease`2`x`(String,String)->Float`dAttributeButtons``424377
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``424679
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``424719
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``424763
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``424942
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``425245
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``425717
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``425860
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``426001
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``426095
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`426197
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``426340
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`426454
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``426548
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``426713
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``427001
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``427198
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`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``427318
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``427406
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``427444
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``427512
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``427674
odegree`1`x`(_$)->E`cGradedModule(R,E)``427761
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``427882
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``427965
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``428106
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``428233
odegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``428339
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``428436
odegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``428528
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``428625
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``428741
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``428828
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``428931
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``429120
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)``429244
odegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``429350
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``429487
odegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``429667
odelay`1`x`(()->_$)->_$`dStream(S)``429772
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`x`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``429925
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``430018
odeleteProperty!`2`x`(_$,Identifier)->_$`dBasicOperator``430124
odeleteProperty!`2`x`(_$,String)->_$`dBasicOperator``430286
odeleteRoutine!`2`x`(_$,Symbol)->_$`dRoutinesTable``430448
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`x`(_$,Integer)->_$`cLinearAggregate(S)``430564
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``430764
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``430983
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``431125
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``431353
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``431549
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``431865
odenom`1`n`(_$)->S`dLocalAlgebra(A,R,S)``431922
odenom`1`n`(_$)->S`dLocalize(M,R,S)``431981
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``432040
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``432152
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``432225
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`432337
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`432449
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``432531
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``432621
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``432823
odepth`1`x`(_$)->NonNegativeInteger`cStackAggregate(S)``432885
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``432995
odequeue`0`x`()->_$`cDequeueAggregate(S)``433187
odequeue`1`x`(List(S))->_$`cDequeueAggregate(S)``433264
odequeue`1`x`(List(S))->_$`dDequeue(S)``433439
oderef`1`n`(_$)->S`dReference(S)``433614
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``433669
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`433847
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``433933
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``434059
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``434309
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``434615
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``434734
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``434811
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``434946
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`435081
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`435194
odf2ef`1`x`(DoubleFloat)->Expression(Float)`pExpertSystemToolsPackage``435271
odf2fi`1`x`(DoubleFloat)->Fraction(Integer)`pExpertSystemToolsPackage``435360
odf2mf`1`x`(DoubleFloat)->MachineFloat`pExpertSystemToolsPackage``435468
odf2st`1`x`(DoubleFloat)->String`pExpertSystemContinuityPackage``435553
odf2st`1`x`(DoubleFloat)->String`pExpertSystemToolsPackage``435632
odf2st`1`x`(DoubleFloat)->String`pd01AgentsPackage``435711
odfRange`1`x`(Segment(OrderedCompletion(DoubleFloat)))->Segment(OrderedCompletion(DoubleFloat))`pExpertSystemToolsPackage``435790
odflist`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(DoubleFloat)`pExpertSystemToolsPackage``435931
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``436026
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``436118
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``436312
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``436506
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``436611
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``436716
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``437213
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``437326
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``437434
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``437543
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``437650
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``437991
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`x`(List(S))->_$`cDictionaryOperations(S)``438074
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``438201
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(_$,S)->_$`cSetAggregate(S)``438272
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``438526
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``438937
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`x`(_$)->T`cDifferentialDomain(T)``439071
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)``439137
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``439237
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`439411
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``439495
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``439615
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialSpace(S)``439723
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialSpace``439880
odifferentiate`2`x`(_$,S)->T`cPartialDifferentialDomain(T,S)``439968
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`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``440071
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``440212
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``440381
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``440495
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``440657
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``440731
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``440853
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``440975
odigit?`1`x`(_$)->Boolean`dCharacter``441098
odigit`0`x`()->_$`dCharacterClass``441195
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``441311
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``441381
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``441451
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`441548
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``441645
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``441723
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``441909
odihedral`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``442021
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``442121
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``442168
odim`1`x`(Color)->_$`dPalette``442292
odimensionOfIrreducibleRepresentation`1`x`(List(PositiveInteger))->NonNegativeInteger`pIrrRepSymNatPackage``442384
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``442612
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``442686
odimension`1`x`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``442744
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``442895
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``442976
odimensionsOf`1`x`(_$)->List(Polynomial(Integer))`dFortranType``443080
odimensionsOf`2`x`(Symbol,Matrix(DoubleFloat))->SExpression`pNAGLinkSupportPackage``443145
odimensionsOf`2`x`(Symbol,Matrix(Integer))->SExpression`pNAGLinkSupportPackage``443193
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``443241
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``443689
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``444141
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``444318
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``444445
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`444589
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``444783
odirection`1`n`(String)->Integer`pToolsForSign(R)``445014
odirectory`1`x`(_$)->String`cFileNameCategory``445055
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``445127
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``445256
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``445354
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``445520
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``445664
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``445723
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``445782
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``445899
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`445991
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`446074
odisjunction`2`x`(_$,_$)->_$`dPropositionalFormula(T)``446196
odisplay`1`x`(String)->Void`dMathMLFormat``446296
odisplay`1`x`(_$)->Maybe((List(OutputForm))->OutputForm)`dBasicOperator``446367
odisplay`1`x`(_$)->Void`dDatabase(S)``446495
odisplay`1`x`(_$)->Void`dIndexCard``446580
odisplay`1`x`(_$)->Void`dTexFormat``446674
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``446858
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``447075
odisplay`2`x`(_$,Integer)->Void`dTexFormat``447310
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)``447456
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``447979
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``448076
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``448298
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``448481
odiv`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``448714
odiv`2`n`(_$,_$)->_$`dOutputForm``448953
odivergence`2`x`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``449010
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``449171
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``449403
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``449736
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`cFreeMonoidCategory(S)``449875
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``450096
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``450239
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``450471
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``450554
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``450922
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451370
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451444
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451515
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451619
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451784
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``452095
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``452165
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``452225
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``452285
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``452345
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``452434
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``452520
odom`1`x`(_$)->SExpression`dAny``452609
odomainTemplate`1`n`(_$)->DomainTemplate`dFunctorData``452735
odomain`0`n`()->_$`dConstructorKind``452844
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``452895
odot`1`n`(_$)->_$`dOutputForm``453304
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``453367
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``453547
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`453625
odot`2`x`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`453713
odouble?`1`x`(_$)->Boolean`dFortranScalarType``453865
odoubleComplex?`1`x`(_$)->Boolean`dFortranScalarType``453964
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``454084
odoubleFloatFormat`1`n`(String)->String`dOutputForm``454126
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``454201
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``454361
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``454549
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``454633
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``454856
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``455594
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``456433
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``456651
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``457055
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``457450
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``457536
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``457733
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``457819
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``457941
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``458079
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``458246
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``458385
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``458561
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``458723
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``458940
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``459116
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459355
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459567
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459793
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459982
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``460277
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``460536
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``460778
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``460970
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``461199
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``461451
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``461760
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``462024
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462359
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``462626
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462950
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463233
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``463529
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``463717
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``464051
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464295
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``464660
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``465090
odualSignature`1`n`(S)->List(Boolean)`xConstructorCategory&(S)``0
odualSignature`1`x`(_$)->List(Boolean)`cConstructorCategory``465148
odual`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`dPropositionalFormulaFunctions1(T)``465447
odual`1`x`(DualBasis(vars))->_$`dLinearBasis(vars)``465514
odual`1`x`(LinearBasis(vars))->_$`dDualBasis(vars)``465605
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``465699
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``465780
oe01baf`6`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagInterpolationPackage``465867
oe01bef`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466005
oe01bff`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466180
oe01bgf`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466334
oe01bhf`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``466513
oe01daf`6`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466705
oe01saf`5`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466930
oe01sbf`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``467132
oe01sef`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``467320
oe01sff`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``467532
oe02adf`7`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``467720
oe02aef`4`x`(Integer,Matrix(DoubleFloat),DoubleFloat,Integer)->Result`pNagFittingPackage``467908
oe02agf`16`x`(Integer,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(Integer),Integer,Integer,Integer)->Result`pNagFittingPackage``468060
oe02ahf`9`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Integer,Integer,Integer)->Result`pNagFittingPackage``468438
oe02ajf`10`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,Integer)->Result`pNagFittingPackage``468680
oe02akf`8`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer)->Result`pNagFittingPackage``468937
oe02baf`7`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``469181
oe02bbf`5`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer)->Result`pNagFittingPackage``469438
oe02bcf`6`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer)->Result`pNagFittingPackage``469568
oe02bdf`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``469760
oe02bef`13`x`(String,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(Integer))->Result`pNagFittingPackage``469919
oe02daf`15`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``470271
oe02dcf`18`x`(String,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Integer)->Result`pNagFittingPackage``470515
oe02ddf`17`x`(String,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``470959
oe02def`9`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``471312
oe02dff`12`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagFittingPackage``471462
oe02gaf`7`x`(Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``471688
oe02zaf`10`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagFittingPackage``471882
oe04dgf`15`x`(Integer,DoubleFloat,DoubleFloat,Integer,DoubleFloat,Boolean,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp49(OBJFUN)))->Result`pNagOptimisationPackage``472042
oe04fdf`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp50(LSFUN1)))->Result`pNagOptimisationPackage``472412
oe04gcf`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp19(LSFUN2)))->Result`pNagOptimisationPackage``472681
oe04jaf`9`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp24(FUNCT1)))->Result`pNagOptimisationPackage``472946
oe04mbf`15`x`(Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Boolean,Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagOptimisationPackage``473418
oe04naf`24`x`(Integer,Integer,Integer,Integer,Integer,Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Boolean,Boolean,Boolean,Integer,Integer,Matrix(DoubleFloat),Matrix(Integer),Integer,Union(fn:FileName,fp:Asp20(QPHESS)))->Result`pNagOptimisationPackage``473736
oe04ucf`43`x`(Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Boolean,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Boolean,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Boolean,Integer,Integer,Integer,Integer,Integer,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(Integer),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp55--(CONFUN)),Union(fn:FileName,fp:Asp49(OBJFUN)))->Result`pNagOptimisationPackage``474061
oe04ycf`8`x`(Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagOptimisationPackage``474864
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,Q)``475188
oedf2df`1`x`(Expression(DoubleFloat))->DoubleFloat`pExpertSystemToolsPackage``475246
oedf2ef`1`x`(Expression(DoubleFloat))->Expression(Float)`pExpertSystemToolsPackage``475396
oedf2efi`1`x`(Expression(DoubleFloat))->Expression(Fraction(Integer))`pExpertSystemToolsPackage``475492
oedf2fi`1`x`(Expression(DoubleFloat))->Fraction(Integer)`pExpertSystemToolsPackage``475605
oef2edf`1`x`(Expression(Float))->Expression(DoubleFloat)`pExpertSystemToolsPackage``475765
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``475887
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``476032
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``476179
oeigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``476307
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``476668
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``476830
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``476972
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``477090
oelaborateFile`1`n`(String)->List(Maybe(Elaboration))`dCompilerPackage``0
oelaborate`1`n`(SpadAst)->Maybe(Elaboration)`dCompilerPackage``477223
oelaboration`3`n`(InternalRepresentationForm,InternalTypeForm,Environment)->_$`dElaboration``477331
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``477505
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``477582
oelementary`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``477679
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``477803
oelements`1`x`(_$)->List(SpadAst)`dConstructAst``477895
oelliptic?`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Boolean`pd03AgentsPackage``477980
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``478023
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``478294
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``478421
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``478548
oelseBranch`1`x`(_$)->SpadAst`dIfAst``478771
oelt`1`n`(_$)->S`dReference(S)``478833
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``478883
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``478944
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`n`(_$,List(_$))->_$`dOutputForm``479009
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``479108
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``479248
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`479345
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`479480
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``479628
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``479712
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``479815
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``479915
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``480010
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``480117
oelt`2`x`(_$,"sort")->_$`dDataList(S)``480215
oelt`2`x`(_$,"unique")->_$`dDataList(S)``480336
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``480477
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``480574
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``480652
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``480773
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``480854
oelt`2`x`(_$,S)->T`cEltable(S,T)``480952
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``481092
oelt`2`x`(_$,Symbol)->String`dIndexCard``481189
oelt`2`x`(_$,_$)->_$`cStringAggregate``481387
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``481602
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``481727
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``482096
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``482236
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``482357
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``482486
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``482648
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``482816
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``482879
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``483221
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``483373
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``483438
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``483648
oelt`4`x`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``483856
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`x`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``483927
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``484103
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``484170
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``484294
oempty?`1`x`(_$)->Boolean`cAggregate``484392
oempty`0`n`()->_$`dOutputForm``484450
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``484495
oempty`0`n`()->_$`dSplittingNode(V,C)``484555
oempty`0`x`()->_$`cAggregate``484665
oempty`0`x`()->_$`dEnvironment``484865
oempty`0`x`()->_$`dScope``484919
oempty`0`x`()->_$`dSymbolTable``484965
oempty`0`x`()->_$`dTheSymbolTable``485023
oencodingDirectory`1`n`(_$)->PrimitiveArray(NonNegativeInteger)`dFunctorData``485082
oendOfFile?`1`x`(_$)->Boolean`dTextFile``485173
oendSubProgram`0`x`()->Symbol`dTheSymbolTable``485346
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``485441
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``485527
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``485720
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``485964
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``486163
oentries`1`x`(_$)->List(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStrea--m:Union(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))))`dIntegrationFunctionsTable``486265
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(Entry,SetCategory))`486306
oentry`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:Stream(DoubleFl--oat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))`dIntegrationFunctionsTable``486410
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``486449
oenvironment`1`n`(_$)->Environment`dElaboration``486545
oeof?`1`x`(_$)->Boolean`dInputBinaryFile``486627
oepilogue`1`x`(_$)->List(String)`dTexFormat``486699
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``486779
oeq`2`n`(_$,_$)->Boolean`dRuntimeValue``486851
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``486955
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``487052
oequation`2`x`(S,S)->_$`dEquation(S)``487352
oequation`2`x`(Symbol,S)->_$`dRangeBinding(S,T)``487401
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``0
oequation`2`x`(Symbol,String)->_$`dQueryEquation``487564
oequiv`2`x`(_$,_$)->_$`cPropositionalLogic``487618
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``487690
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``487738
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``487885
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``487958
oerror`1`x`(List(String))->Exit`pErrorFunctions``488038
oerror`1`x`(String)->Exit`pErrorFunctions``488115
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``488190
oerror`2`x`(String,String)->Exit`pErrorFunctions``488358
oescape`0`x`()->_$`dCharacter``488523
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``488576
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``488733
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``489066
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``489369
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``489551
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`489662
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``489702
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``489919
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``490220
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``490367
oeval`1`x`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`490437
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``490506
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``490731
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``490875
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``491015
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``491155
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``491273
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(**,Coef(Coef,Expon)))`491514
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``491632
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``491703
oeval`2`x`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`491793
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`491876
oeval`2`x`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`491976
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`492039
oeval`3`n`(A,A,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(A),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,List(V),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(V),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,S)->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,V,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,V,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(S,A,B)->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Kernel(S),S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Kernel(S),S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(A),List(B))->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(R),List(R))->S`xEvalable&(S,R)``0
oeval`3`n`(S,List(R),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(S),List(S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(S),List(S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(S),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(S),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(R))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Symbol),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(VarSet),List(R))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(VarSet),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,R,R)->S`xEvalable&(S,R)``0
oeval`3`n`(S,R,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,S,S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,S,S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,S,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,R)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Symbol,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,VarSet,R)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,VarSet,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(UPUP,Fraction(UP),Fraction(UP))->UPUP`pChangeOfVariable(F,UP,UPUP)``492122
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``492195
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``492398
oeval`3`x`(Matrix(Expression(DoubleFloat)),List(Symbol),Vector(Expression(DoubleFloat)))->Matrix(Expression(DoubleFloat))`pd02AgentsPackage``492479
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``492606
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``492677
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``492810
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``492910
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``493003
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``493160
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``493282
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``493439
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``493561
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``493712
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``493845
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``493945
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`x`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`494066
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`494204
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`494364
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`494531
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`494670
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`494804
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``494910
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``494959
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``495083
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``495315
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``495538
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``495710
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`496035
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``496104
oeven?`1`x`(_$)->Boolean`dPermutation(S)``496180
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``496311
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``496455
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``496599
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``496743
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``496887
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``497212
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`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`497590
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``497830
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``497869
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``497908
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`497947
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`498071
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`498173
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`498399
oexists?`1`x`(_$)->Boolean`cFileNameCategory``498604
oexp1`0`x`()->_$`dDoubleFloat``498674
oexp1`0`x`()->_$`dFloat``498747
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``498807
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``498894
oexp`1`n`(F)->F`pElementaryFunction(R,F)``499348
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``499414
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``499488
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)``499559
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``499635
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``499711
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``499784
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``499859
oexp`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``499922
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``499989
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`500111
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oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``500404
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oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``500962
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``501024
oexpand`1`x`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``501427
oexpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``501522
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``501617
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``501849
oexpand`1`x`(_$)->R`dFactored(R)``502028
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oexpenseOfEvaluation`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Float`pe04AgentsPackage``502706
oexpenseOfEvaluation`1`x`(Vector(Expression(DoubleFloat)))->Float`pExpertSystemToolsPackage``502923
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oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``503619
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)``503709
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``503924
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``504109
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``504249
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oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``504414
oexplimitedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``504631
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``504998
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``505135
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``505175
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``505229
oexponent`1`x`(_$)->Integer`dFactored(R)``505329
oexponent`1`x`(_$)->Integer`dMachineFloat``505474
oexponential1`0`n`()->Float`pRandomFloatDistributions``505533
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``505576
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``505689
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oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``505868
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oexpression`1`x`(_$)->SpadAst`dExitAst``511538
oexpression`1`x`(_$)->SpadAst`dPretendAst``511602
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oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``512558
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oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``512753
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oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
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oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``514545
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``514700
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``514793
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``515087
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``515180
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``515400
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``515481
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``515658
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``515700
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``515793
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oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``517671
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oextension`1`x`(_$)->String`cFileNameCategory``517954
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of2st`1`x`(Float)->String`pExpertSystemToolsPackage``529144
ofTable`1`x`(List(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Unio--n(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")))))->_$`dIntegrationFunctionsTable``529216
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`529297
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`529405
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``529582
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``529810
ofactorFraction`1`x`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``530038
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``530149
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``530295
ofactorList`1`x`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``530533
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``530629
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``530677
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``530811
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``530894
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``531075
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``531212
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``531446
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``531793
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`531910
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``531960
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``532210
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``532460
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``532742
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``533024
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``533220
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``533332
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``533476
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``533571
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``533681
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``533968
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``534211
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``534547
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``534855
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`534930
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``534986
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``535074
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``535171
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``535303
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``535378
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)``535469
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``535604
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``535666
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``535975
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``536056
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``536118
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``536213
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``536301
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``536398
ofactor`1`x`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``536519
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``536605
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``536689
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``536874
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``537098
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``537210
ofactor`1`x`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``537277
ofactor`1`x`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``537344
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``537411
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``537492
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``537614
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``537721
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``537874
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``538110
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``538312
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``538470
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``538707
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``538851
ofactor`2`x`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``539076
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``539261
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``539411
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``539662
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``539885
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``540196
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``540282
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``540436
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``540601
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``540705
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``540809
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``540935
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``541061
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``541147
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``541258
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`cFreeMonoidCategory(S)``541339
ofactors`1`x`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``541420
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``541720
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``541799
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``541861
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``541923
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``541970
ofalse`0`x`()->_$`cPropositionalLogic``542017
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``542060
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``542148
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``542310
ofi2df`1`x`(Fraction(Integer))->DoubleFloat`pExpertSystemToolsPackage``542495
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``542584
ofigureUnits`1`n`(List(List(Point(DoubleFloat))))->List(DoubleFloat)`dGraphImage``0
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``542898
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`543147
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``543271
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``543327
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``543386
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``543463
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``543623
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``543696
ofindBinding`2`x`(Identifier,_$)->Maybe(Binding)`dContour``543859
ofindBinding`2`x`(Identifier,_$)->Maybe(Binding)`dScope``543957
ofindConstructor`1`n`(Identifier)->Maybe(_$)`dConstructor``544050
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``544210
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``544293
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``544435
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``544549
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``544603
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``544657
ofiniteBound`2`x`(List(OrderedCompletion(DoubleFloat)),DoubleFloat)->List(DoubleFloat)`pe04AgentsPackage``544744
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`544888
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`545096
ofirstDenom`1`x`(_$)->Factored(R)`dPartialFraction(R)``545304
ofirstNumer`1`x`(_$)->R`dPartialFraction(R)``545503
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``545700
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``545816
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xStreamAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``546122
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``546196
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``546257
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`546342
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``546533
ofirst`1`x`(_$)->S`dPair(S,T)``546643
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``546703
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``546859
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``546967
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``547055
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``547302
ofixedPoint`1`x`((A)->A)->A`pMappingPackage1(A)``547423
ofixedPoint`2`x`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``547572
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`547727
oflagFactor`3`x`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``547810
oflatten`1`n`(_$)->_$`dInputForm``547989
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``548229
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``548435
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``548641
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``548732
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``548813
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``548935
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``548992
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`549046
ofloor`1`x`(_$)->_$`cRealNumberSystem``549122
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`549185
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``549273
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``549445
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
ofmecg`4`x`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``549533
oforLoop`2`x`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``549621
oforLoop`3`x`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``549747
oformfeed`0`x`()->_$`dCharacter``549887
ofortranCarriageReturn`0`x`()->Void`dFortranTemplate``549946
ofortranCharacter`0`x`()->_$`dFortranType``550048
ofortranCompilerName`0`x`()->String`pNAGLinkSupportPackage``550128
ofortranComplex`0`x`()->_$`dFortranType``550238
ofortranDoubleComplex`0`x`()->_$`dFortranType``550314
ofortranDouble`0`x`()->_$`dFortranType``550403
ofortranInteger`0`x`()->_$`dFortranType``550487
ofortranLinkerArgs`0`x`()->String`pNAGLinkSupportPackage``550563
ofortranLiteralLine`1`x`(String)->Void`dFortranTemplate``550634
ofortranLiteral`1`x`(String)->Void`dFortranTemplate``550756
ofortranLogical`0`x`()->_$`dFortranType``550841
ofortranReal`0`x`()->_$`dFortranType``550917
ofortranTypeOf`2`x`(Symbol,_$)->FortranType`dSymbolTable``550987
ofortran`3`x`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``551065
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``551251
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``551290
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``551381
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``551586
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`551680
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``551787
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``551868
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``551950
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``552036
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`552117
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``552244
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``552314
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``552414
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`552542
ofront`1`x`(_$)->S`cQueueAggregate(S)``552583
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`552733
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``552824
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``553006
ofullDisplay`1`x`(_$)->Void`dIndexCard``553092
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``553184
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``553317
ofunctionIsContinuousAtEndPoints`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated")`pd01AgentsPackage``553474
ofunctionIsFracPolynomial?`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Boolean`pExpertSystemContinuityPackage``553630
ofunctionIsOscillatory`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd01AgentsPackage``553769
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``553881
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``553950
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``554064
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``554155
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``554228
ofunctorData`1`n`(_$)->FunctorData`dDomainConstructor``554306
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``554408
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``554443
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialFactorizationExplicit&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``554517
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``554619
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``554707
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``554808
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``554909
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``554975
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``555052
ogcd`1`x`(List(_$))->_$`cGcdDomain``555129
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``555211
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``555297
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`555383
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`555482
ogcd`2`x`(_$,_$)->_$`cGcdDomain``555595
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``555680
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``555792
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``555900
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``556033
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``556124
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``556218
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``556303
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``556386
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``556544
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``556702
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``556860
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``557018
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``557217
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``557442
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``557630
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``557786
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``557935
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``558036
ogeneralizedEigenvector`2`x`(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``558154
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``558336
ogeneralizedEigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``558731
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``558833
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``559063
ogenerate`1`x`(()->S)->_$`dStream(S)``559197
ogenerate`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``559343
ogenerate`2`x`((S)->S,S)->_$`dStream(S)``559408
ogenerate`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``559635
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`559946
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``560085
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``560150
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``560242
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``560328
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``560392
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``560496
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``560577
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``560652
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`560727
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`561061
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`561206
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`561479
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`561624
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``561866
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562009
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562344
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562494
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562734
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562884
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``563091
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``563255
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``563416
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``563620
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``563786
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``563942
ogensym`0`x`()->_$`dIdentifier``564168
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``564277
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``564357
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``564437
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``564478
ogetButtonValue`2`x`(String,String)->Float`dAttributeButtons``564619
ogetCode`1`x`(_$)->SExpression`dFortranCode``564933
ogetConstant`1`x`(_$)->Union(SExpression,"failed")`dElaboratedExpression``565075
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``565142
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``565286
ogetExplanations`2`x`(_$,String)->List(String)`dRoutinesTable``565517
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``565626
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``565704
ogetIdentifier`1`x`(_$)->Union(Identifier,"failed")`dElaboratedExpression``565947
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``566018
ogetMeasure`2`x`(_$,Symbol)->Float`dRoutinesTable``566177
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``566280
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``566374
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``566468
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``566562
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``566739
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``566916
ogetOperands`1`x`(_$)->List(_$)`dSyntax``567093
ogetOperands`1`x`(_$)->Union(List(_$),"failed")`dElaboratedExpression``567175
ogetOperator`1`x`(_$)->Union(Identifier,"failed")`dElaboratedExpression``567271
ogetOperator`1`x`(_$)->Union(Integer,DoubleFloat,Identifier,String,_$)`dSyntax``567374
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``567590
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``567755
ogetProperties`2`x`(Identifier,_$)->List(Property)`dEnvironment``568058
ogetProperty`3`x`(Identifier,Identifier,_$)->Maybe(SExpression)`dEnvironment``568144
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``568304
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``568420
ogetSyntaxFormsFromFile`1`x`(String)->List(Syntax)`pParser``568509
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``568770
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``568949
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``569087
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``569216
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemContinuityPackage``569354
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemToolsPackage``569474
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pd01AgentsPackage``569586
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemContinuityPackage``569706
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemToolsPackage``569825
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pd01AgentsPackage``569936
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``570055
ogoodnessOfFit`1`x`(NumericalOptimizationProblem)->Result`pAnnaNumericalOptimizationPackage``570194
ogoodnessOfFit`2`x`(List(Expression(Float)),List(Float))->Result`pAnnaNumericalOptimizationPackage``570854
ogoto`1`x`(SingleInteger)->_$`dFortranCode``572065
ogradient`2`x`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``572140
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``572333
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``572491
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``572663
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``572811
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``573018
ographImage`0`n`()->_$`dGraphImage``573431
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``573616
ographStates`1`n`(_$)->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``574684
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``574955
ographs`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``575295
ogreen`0`x`()->_$`dColor``575468
ogreen`1`x`(_$)->T`cRGBColorModel(T)``575545
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``575606
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``575900
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``575937
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``576032
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``576534
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``577120
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``577728
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``578426
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``578638
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``578857
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``579100
ogroebner`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``579224
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``579330
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``579793
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``580177
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``580268
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``580338
oground`1`x`(_$)->R`cFunctionSpace(R)``580416
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``580543
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`580578
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`580757
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`580936
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`581127
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`581339
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`581530
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``581742
ohas?`2`x`(_$,Identifier)->Boolean`dBasicOperator``581847
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``581925
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``582003
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``582083
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``582172
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``582261
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`x`(_$)->SingleInteger`cSetCategory``582340
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``582399
ohclf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``582635
ohconcat`1`n`(List(_$))->_$`dOutputForm``582811
ohconcat`2`n`(_$,_$)->_$`dOutputForm``582890
ohcrf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``582971
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``583148
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``583237
oheadAst`2`x`(Identifier,List(ParameterAst))->_$`dHeadAst``583325
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``583402
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``583679
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``583941
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``584124
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``584271
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``584428
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`584553
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->HeadAst`dDefinitionAst``584830
ohead`1`x`(_$)->HeadAst`dMacroAst``585012
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``585196
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``585312
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``585568
oheap`1`x`(List(S))->_$`dHeap(S)``585689
oheight`0`n`()->Integer`dOutputForm``585780
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``585856
oheight`1`n`(_$)->Integer`dOutputForm``585963
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``586037
oheight`1`x`(_$)->NonNegativeInteger`cDequeueAggregate(S)``586100
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``586222
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``586495
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``586813
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``587100
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``587262
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``587533
ohessian`2`x`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``587614
ohexDigit?`1`x`(_$)->Boolean`dCharacter``587806
ohexDigit`0`x`()->_$`dCharacterClass``587940
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``588062
ohi`1`x`(_$)->S`cSegmentCategory(S)``588138
ohighCommonTerms`2`x`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`588226
ohigh`1`x`(_$)->S`cSegmentCategory(S)``588443
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``588535
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``588714
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``588804
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``588914
ohorizontalTab`0`x`()->_$`dCharacter``589146
ohostByteOrder`0`n`()->ByteOrder`dSystem``589201
ohostPlatform`0`n`()->String`dSystem``589229
ohost`1`x`(String)->_$`dHostname``589344
ohspace`1`n`(Integer)->_$`dOutputForm``589407
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``589470
ohue`1`n`(Point(R))->R`pPointPackage(R)``589571
ohue`1`x`(_$)->Color`dPalette``589894
ohue`1`x`(_$)->Integer`dColor``589972
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``590048
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``590185
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``590322
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``590410
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``590498
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``590712
oiFTable`1`x`(List(Record(key:Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float))))->_$`dODEIntensityFunctionsTable``590888
oid`1`x`(A)->A`pMappingPackage1(A)``590981
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``591013
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``591304
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``591375
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``591480
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``591558
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``591724
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``591821
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``591972
oidentityMatrix`1`x`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`592186
oidentitySquareMatrix`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``592277
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``592333
oiflist2Result`1`x`(Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float))->Result`pExpertSystemToolsPackage``592387
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``592473
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``592634
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``592692
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``592748
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``592804
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``592861
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``592917
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``592974
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``593030
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``593087
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``593143
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``593200
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``593256
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``593313
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``593369
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``593426
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``593484
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``593539
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``593595
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``593650
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``593706
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``593761
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``593817
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``593875
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``593932
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``593987
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``594044
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``594099
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``594156
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``594212
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``594267
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``594323
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``594378
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``594434
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``594490
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``594546
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``594601
oimagE`1`x`(_$)->R`cOctonionCategory(R)``594657
oimagI`1`x`(_$)->R`cOctonionCategory(R)``594739
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``594821
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``594905
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``594987
oimagK`1`x`(_$)->R`cOctonionCategory(R)``595071
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``595153
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``595237
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``595336
oimag`1`x`(_$)->R`cComplexCategory(R)``595435
oimagi`1`x`(_$)->R`cOctonionCategory(R)``595493
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``595565
oimagj`1`x`(_$)->R`cOctonionCategory(R)``595623
oimagk`1`x`(_$)->R`cOctonionCategory(R)``595695
oimplies`2`x`(_$,_$)->_$`cPropositionalLogic``595767
oimports`1`x`(_$)->List(TypeAst)`dImportAst``595841
oin?`1`x`(DoubleFloat)->Boolean`pExpertSystemContinuityPackage1(A,B)``595902
oin?`2`x`(DoubleFloat,Segment(OrderedCompletion(DoubleFloat)))->Boolean`pExpertSystemToolsPackage``595991
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``596092
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``596179
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``596286
oinR?`1`n`(_$)->Boolean`dPattern(R)``596666
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``596761
oinc`1`x`(_$)->_$`cIntegerNumberSystem``596869
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``596912
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``597076
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``597240
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`597395
oincrease`1`x`(String)->Float`dAttributeButtons``597525
oincrease`2`x`(String,String)->Float`dAttributeButtons``597798
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``598100
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``598286
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``598464
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``598639
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``598718
oindex`1`x`(PositiveInteger)->_$`cFinite``598755
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``599002
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``599101
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``599309
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`x`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``599429
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``599526
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``599626
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``599726
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``599820
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``599914
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``600122
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``600330
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``600570
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``600810
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``601074
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``601186
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``601298
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``601495
oinf`1`x`(_$)->R`cIntervalCategory(R)``601651
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``601713
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``601847
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``601984
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``602042
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``602116
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``602256
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``602396
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``602536
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``602676
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``602789
oinfinity`0`x`()->_$`dOnePointCompletion(R)``602832
oinfix?`1`n`(_$)->Boolean`dOutputForm``602875
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``602985
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``603126
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``603210
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->_$`cStepThrough``603266
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``603327
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``603552
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``603704
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``604138
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``604599
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``604887
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``605159
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``605434
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``605652
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``605819
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``606003
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)``606107
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``606440
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``606557
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``606687
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``607039
oinputBinaryFile`1`x`(FileName)->_$`dInputBinaryFile``607115
oinputBinaryFile`1`x`(String)->_$`dInputBinaryFile``607233
oinputOutputBinaryFile`1`x`(FileName)->_$`dInputOutputBinaryFile``607351
oinputOutputBinaryFile`1`x`(String)->_$`dInputOutputBinaryFile``607487
oinput`0`n`()->_$`dIOMode``607618
oinput`1`x`(_$)->Maybe((List(InputForm))->InputForm)`dBasicOperator``607681
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``607801
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``608011
oinsert!`1`x`(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(st--r:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))))->_$`dIntegrationFunctionsTable``608075
oinsert!`1`x`(Record(key:Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float)))->_$`dODEIntensityFunctionsTable``608142
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``608209
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``608336
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``608404
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``608500
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``608595
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``608691
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``608796
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``608902
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``609029
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``609191
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``609289
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`x`(S,_$,Integer)->_$`cLinearAggregate(S)``609522
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``609737
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`609988
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``610031
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``610079
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``610144
ointPatternMatch`4`n`(F,Symbol,(F,Symbol)->IntegrationResult(F),(F,Symbol)->Union(Record(special:F,integrand:F),"failed"))->IntegrationResult(F)`pIntegrationTools(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,GcdDomain),has(R,PatternMatchable(Integer)),has(F,ElementaryFunctionCategory),has(F,LiouvillianFunctionCategory),has(F,RetractableTo(Symbol)))`610184
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``610431
oint`1`n`(_$)->_$`dOutputForm``610540
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``610626
oint`2`n`(_$,_$)->_$`dOutputForm``610709
oint`3`n`(_$,_$,_$)->_$`dOutputForm``610829
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``610987
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``611028
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``611122
ointeger?`1`x`(_$)->Boolean`dFortranScalarType``611205
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``611297
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``611443
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``611547
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``611641
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``611765
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``611823
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``611897
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``611987
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``612080
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``612167
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``612253
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``613067
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``613881
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``614687
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``615501
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``615573
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``615770
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``616096
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``616225
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``616437
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``616645
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``616803
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``616896
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``617025
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`617111
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``617204
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``617336
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``617409
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`617478
ointegrate`1`x`(NumericalIntegrationProblem)->Result`pAnnaNumericalIntegrationPackage``617661
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`618210
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`618399
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`618516
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`618713
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`618902
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`619150
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`619339
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`619528
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`619719
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`619908
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`620097
ointegrate`2`x`(Expression(Float),List(Segment(OrderedCompletion(Float))))->Result`pAnnaNumericalIntegrationPackage``620288
ointegrate`2`x`(Expression(Float),Segment(OrderedCompletion(Float)))->Result`pAnnaNumericalIntegrationPackage``620897
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``621501
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``621663
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``621776
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``621938
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`622100
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`622214
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`622344
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`622474
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`622604
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`622734
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`622864
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`622994
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`623155
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`623382
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`623571
ointegrate`3`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float)->Result`pAnnaNumericalIntegrationPackage``623721
ointegrate`3`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float)->Result`pAnnaNumericalIntegrationPackage``624365
ointegrate`3`x`(Expression(Float),SegmentBinding(OrderedCompletion(Float)),String)->Union(Result,"failed")`pAnnaNumericalIntegrationPackage``625004
ointegrate`3`x`(Expression(Float),SegmentBinding(OrderedCompletion(Float)),Symbol)->Union(Result,"failed")`pAnnaNumericalIntegrationPackage``625709
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``626410
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``626817
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``627224
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`627631
ointegrate`4`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float,Float)->Result`pAnnaNumericalIntegrationPackage``627781
ointegrate`4`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float,Float)->Result`pAnnaNumericalIntegrationPackage``628381
ointegrate`5`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float,Float,RoutinesTable)->Result`pAnnaNumericalIntegrationPackage``628976
ointegrate`5`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float,Float,RoutinesTable)->Result`pAnnaNumericalIntegrationPackage``629648
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``630304
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``630499
ointeractiveEnv`0`x`()->_$`dEnvironment``630802
ointermediateResultsIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``630856
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``631132
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``631173
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``631331
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``631437
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``631604
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``631771
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``631891
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``632011
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``632094
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``632218
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``632301
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``632426
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``632571
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``632841
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``633111
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``633383
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``633650
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``633787
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``633924
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``633971
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`x`(String)->Any`pTemplateUtilities``634020
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``634130
ointerpret`1`n`(_$)->Any`dInputForm``634254
ointersect`1`x`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``634317
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``634404
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``634505
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``634680
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``634757
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``634832
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``635099
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``635191
ointerval`1`x`(R)->_$`cIntervalCategory(R)``635257
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``635323
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``635498
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``635571
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``635606
oinv`1`x`(_$)->_$`cDivisionRing``635641
oinv`1`x`(_$)->_$`cGroup``635734
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`635788
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`635855
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``635924
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``636609
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``636828
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``637040
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``637211
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``637279
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``637441
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`637661
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`637814
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`637976
oinverse`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`638108
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`638270
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``638345
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``638464
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``638679
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``638873
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``639058
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``639145
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``639259
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``639385
oip4Address`1`x`(String)->_$`dIP4Address``639531
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``639611
oiprint`1`n`(String)->Void`pInternalPrintPackage``639666
oirCtor`2`x`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``639761
oirDef`3`x`(Identifier,InternalTypeForm,_$)->_$`dInternalRepresentationForm``639874
oirForm`1`n`(_$)->InternalRepresentationForm`dElaboration``640024
oirVar`2`x`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``640118
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`640227
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``640288
oirreducibleFactor`2`x`(R,Integer)->_$`dFactored(R)``640372
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`640532
oirreducibleRepresentation`1`x`(List(PositiveInteger))->List(Matrix(Integer))`pIrrRepSymNatPackage``640843
oirreducibleRepresentation`2`x`(List(PositiveInteger),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``641182
oirreducibleRepresentation`2`x`(List(PositiveInteger),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``641398
ois?`2`n`(A,S)->Boolean`xOperatorCategory&(A,S)``0
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``641643
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``641703
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``641776
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``641889
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``641979
ois?`2`x`(_$,S)->Boolean`cOperatorCategory(S)``642061
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``642142
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`642241
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`642374
oisAnd`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``642865
oisAtom`1`x`(_$)->Maybe(T)`dPropositionalFormula(T)``643004
oisConnected?`1`x`(_$)->Boolean`cNetworkClientSocket(T)``0
oisEquiv`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``643119
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``643261
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)``643367
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`643478
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``643562
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`x`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`643674
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`643782
oisImplies`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``643888
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``644032
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`644132
oisNot`1`x`(_$)->Maybe(_$)`dPropositionalFormula(T)``644217
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``644336
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``644446
oisOpen?`1`x`(_$)->Boolean`dInputBinaryFile``644554
oisOpen?`1`x`(_$)->Boolean`dInputOutputBinaryFile``644618
oisOpen?`1`x`(_$)->Boolean`dOutputBinaryFile``644674
oisOr`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``644729
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``644867
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``644990
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`645127
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``645222
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``645372
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``645479
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`645574
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``645659
oisQuotient`1`x`(Expression(DoubleFloat))->Union(Expression(DoubleFloat),"failed")`pExpertSystemToolsPackage``645756
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``645895
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``646011
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`646135
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``646229
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``646523
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``646706
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``646770
oiterationVar`1`n`(_$)->Identifier`dInAst``646955
oiterationVar`1`x`(_$)->Identifier`dStepAst``647053
oiterators`1`x`(_$)->List(SpadAst)`dCollectAst``647175
oiterators`1`x`(_$)->List(SpadAst)`dRepeatAst``647267
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``647350
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``647558
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``647766
ojacobian`2`x`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``648044
ojacobian`2`x`(Vector(Expression(DoubleFloat)),List(Symbol))->Matrix(Expression(DoubleFloat))`pd02AgentsPackage``648247
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``648321
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``648407
ojokerMode`0`n`()->_$`dInternalTypeForm``648623
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``648714
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``649006
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``649298
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``649646
ojust`1`x`(T)->_$`dMaybe(T)``649994
ojvmAbstract`0`n`()->_$`dJVMClassFileAccess``650046
ojvmAbstract`0`n`()->_$`dJVMMethodAccess``650137
ojvmClassConstantTag`0`n`()->_$`dJVMConstantTag``650219
ojvmDoubleConstantTag`0`n`()->_$`dJVMConstantTag``650301
ojvmFieldrefConstantTag`0`n`()->_$`dJVMConstantTag``650373
ojvmFinal`0`n`()->_$`dJVMClassFileAccess``650449
ojvmFinal`0`n`()->_$`dJVMFieldAccess``650522
ojvmFinal`0`n`()->_$`dJVMMethodAccess``650611
ojvmFloatConstantTag`0`n`()->_$`dJVMConstantTag``650701
ojvmIntegerConstantTag`0`n`()->_$`dJVMConstantTag``650772
ojvmInterfaceMethodConstantTag`0`n`()->_$`dJVMConstantTag``650846
ojvmInterface`0`n`()->_$`dJVMClassFileAccess``650928
ojvmLongConstantTag`0`n`()->_$`dJVMConstantTag``650990
ojvmMethodrefConstantTag`0`n`()->_$`dJVMConstantTag``651060
ojvmNameAndTypeConstantTag`0`n`()->_$`dJVMConstantTag``651137
ojvmNative`0`n`()->_$`dJVMMethodAccess``651238
ojvmPrivate`0`n`()->_$`dJVMFieldAccess``651330
ojvmPrivate`0`n`()->_$`dJVMMethodAccess``651426
ojvmProtected`0`n`()->_$`dJVMFieldAccess``651523
ojvmProtected`0`n`()->_$`dJVMMethodAccess``651615
ojvmPublic`0`n`()->_$`dJVMClassFileAccess``651708
ojvmPublic`0`n`()->_$`dJVMFieldAccess``651799
ojvmPublic`0`n`()->_$`dJVMMethodAccess``651886
ojvmStatic`0`n`()->_$`dJVMFieldAccess``651974
ojvmStatic`0`n`()->_$`dJVMMethodAccess``652012
ojvmStrict`0`n`()->_$`dJVMMethodAccess``652051
ojvmStringConstantTag`0`n`()->_$`dJVMConstantTag``652136
ojvmSuper`0`n`()->_$`dJVMClassFileAccess``652208
ojvmSynchronized`0`n`()->_$`dJVMMethodAccess``652280
ojvmTransient`0`n`()->_$`dJVMFieldAccess``652325
ojvmUTF8ConstantTag`0`n`()->_$`dJVMConstantTag``652366
ojvmVolatile`0`n`()->_$`dJVMFieldAccess``652479
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``652519
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``652610
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``652769
okernel`1`n`(Symbol)->_$`dKernel(S)``653112
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``653173
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``653266
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``653348
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``653533
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``653699
okey`1`n`(_$)->Integer`dGraphImage``653769
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``653886
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``654044
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``654206
okeys`1`x`(_$)->List(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))`dIntegrationFunctionsTable``654273
okeys`1`x`(_$)->List(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))`dODEIntensityFunctionsTable``654332
okind`1`n`(S)->ConstructorKind`xConstructorCategory&(S)``0
okind`1`x`(_$)->ConstructorKind`cConstructorCategory``654393
okind`1`x`(_$)->ConstructorKind`dCategoryAst``654462
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``654554
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``654635
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``654682
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``655002
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``655440
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``655632
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``655744
olabel`2`n`(_$,_$)->_$`dOutputForm``655853
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``655926
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``656056
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``656210
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``656380
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``656525
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``656804
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``656973
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``657282
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``657646
olaplacian`2`x`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``657908
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`658057
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``658227
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``658380
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``658726
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`658913
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``659148
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`659283
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``659561
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(_$)->S`cDoublyLinkedAggregate(S)``660243
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``660358
olast`1`x`(_$)->SpadAst`dSequenceAst``660525
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``660584
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``660739
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``660914
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``660998
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``661153
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``661285
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``661468
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``661538
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``661671
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``661783
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``662025
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``662083
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``662266
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``662434
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``662605
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``662773
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`663050
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`663124
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`663212
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``663690
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``663878
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``664088
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``664281
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``664507
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``664786
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)``665138
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``665451
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``665727
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``666042
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``666217
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``666500
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``666872
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`667188
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``667324
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``667417
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pExpertSystemContinuityPackage``667500
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pExpertSystemToolsPackage``667608
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pd01AgentsPackage``667700
oldf2vmf`1`x`(List(DoubleFloat))->Vector(MachineFloat)`pExpertSystemToolsPackage``667795
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``667892
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``668066
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``668169
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``668267
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``668598
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``668699
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``668805
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``668855
oleadingCoefficient`1`n`(_$)->R`dMonoidRing(R,M)`has(M,OrderedSet)`668902
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)``669070
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``669253
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``669350
oleadingCoefficient`1`x`(_$)->R`cFreeModuleCat(R,Basis)``669443
oleadingCoefficient`1`x`(_$)->R`cMonogenicLinearOperator(R)``669549
oleadingCoefficient`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)``669661
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``669773
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``669964
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``670011
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``670124
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->M`dMonoidRing(R,M)`has(M,OrderedSet)`670168
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``670327
oleadingMonomial`1`x`(_$)->Basis`cFreeModuleCat(R,Basis)``670374
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``670491
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``670582
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)``670665
oleadingTerm`1`x`(_$)->Record(k:Basis,c:R)`cFreeModuleCat(R,Basis)``670834
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``670926
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``670963
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``671024
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``671279
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``671610
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``671727
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``671861
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``672074
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``672287
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``672445
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``672813
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``673181
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``673482
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`673677
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`673872
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``674113
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`674237
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`674361
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``674469
oleftFactor`2`x`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``674706
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``674750
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`674986
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``675222
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`675420
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`675619
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``675853
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``675979
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`676077
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`676134
oleftPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``676191
oleftPower`2`x`(_$,PositiveInteger)->_$`cMonad``676373
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``676555
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`676743
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`676931
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``677027
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`677266
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``677505
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`677663
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``677876
oleftReducedSystem`1`x`(Vector(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``678058
oleftReducedSystem`2`x`(Vector(_$),_$)->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``678321
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``678601
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``678773
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``678970
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`679159
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``679348
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``679538
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``679820
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``680102
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``680310
oleftTrim`2`x`(_$,Character)->_$`cStringAggregate``680403
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``680571
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`680750
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``680875
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`680998
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`681122
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``681179
oleft`1`n`(_$)->_$`dMagma(VarSet)``681335
oleft`1`n`(_$)->_$`dOutputForm``681486
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``681553
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``681627
oleft`2`n`(_$,Integer)->_$`dOutputForm``681673
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`681758
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``681924
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``682200
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``682551
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``682662
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``682718
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``682810
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``682883
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``682966
olength`1`x`(_$)->NonNegativeInteger`cQueueAggregate(S)``683049
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`683156
olength`1`x`(_$)->_$`cIntegerNumberSystem``683259
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``683313
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``683347
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``683449
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``683525
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``683723
olevel`1`x`(_$)->Integer`dExitAst``683860
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``683921
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``684140
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``684326
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``684725
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``684792
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``685001
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``685343
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``685510
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``685669
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``685901
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``686031
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``686102
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``686321
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``686544
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``686599
olhs`1`x`(_$)->S`dEquation(S)``686669
olhs`1`x`(_$)->SpadAst`dCaseAst``686743
olhs`1`x`(_$)->SpadAst`dColonAst``686819
olhs`1`x`(_$)->SpadAst`dHasAst``686896
olhs`1`x`(_$)->SpadAst`dIsAst``686971
olhs`1`x`(_$)->SpadAst`dLetAst``687045
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``687127
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``687180
olibrary`1`x`(FileName)->_$`dLibrary``687302
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``687356
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``687563
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``687770
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``688086
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``688402
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``688494
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``688530
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``688632
olift`7`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``688670
olifting1`9`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(P)),List(R),List(P),List(List(Record(expt:NonNegativeInteger,pcoef:P))),List(NonNegativeInteger),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``688705
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``688767
olight`1`x`(Color)->_$`dPalette``688823
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``688908
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``689169
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``689241
olimit`2`x`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``689315
olimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``689396
olimit`2`x`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``689520
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``689644
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``689833
olimitedIntegrate`3`x`(Fraction(Polynomial(F)),Symbol,List(Fraction(Polynomial(F))))->Union(Record(mainpart:Fraction(Polynomial(F)),limitedlogs:List(Record(coeff:Fraction(Polynomial(F)),logand:Fraction(Polynomial(F))))),"failed")`pRationalFunctionIntegration(F)``690098
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)``690343
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``690574
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``690612
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``690763
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``690867
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``690993
olinear?`1`x`(Expression(DoubleFloat))->Boolean`pe04AgentsPackage``691145
olinear?`1`x`(List(Expression(DoubleFloat)))->Boolean`pe04AgentsPackage``691218
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`691319
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`691984
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`692137
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`692373
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``692528
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``692749
olinearElement`1`x`(List(K))->_$`dLinearElement(K,B)``692959
olinearForm`1`x`(List(K))->_$`dLinearForm(K,B)``693117
olinearMatrix`2`x`(List(Expression(DoubleFloat)),NonNegativeInteger)->Matrix(DoubleFloat)`pe04AgentsPackage``693268
olinearPart`1`x`(List(Expression(DoubleFloat)))->List(Expression(DoubleFloat))`pe04AgentsPackage``693435
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``693521
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``693685
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``693723
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``693763
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``693912
olinears`2`x`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``694070
olinefeed`0`x`()->_$`dCharacter``694249
olinkToFortran`4`x`(Symbol,List(Symbol),TheSymbolTable,List(Symbol))->SExpression`pFortranPackage``694308
olinkToFortran`4`x`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol))->SExpression`pFortranPackage``694362
olinkToFortran`5`x`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol),Symbol)->SExpression`pFortranPackage``694417
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``694474
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``694536
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``694617
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``694733
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``694849
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``695086
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``695203
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``695292
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``695381
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``695457
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``695539
olistYoungTableaus`1`x`(List(PositiveInteger))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``695907
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``696380
olist`1`x`(_$)->List(_$)`dSymbol``696444
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``696548
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``696584
olittleEndian`0`n`()->_$`dByteOrder``696653
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``696709
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``696979
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``697237
olo`1`x`(_$)->S`cSegmentCategory(S)``697493
oloadNativeModule`1`n`(String)->Void`dSystem``697580
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``697678
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``697873
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``698068
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``698911
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``699760
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``700601
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``701450
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``701510
olog10`0`x`()->_$`dFloat``701564
olog10`1`x`(_$)->_$`dDoubleFloat``701632
olog10`1`x`(_$)->_$`dFloat``701705
olog10`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``701776
olog2`0`x`()->_$`dFloat``701854
olog2`1`x`(_$)->_$`dDoubleFloat``701940
olog2`1`x`(_$)->_$`dFloat``702011
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``702080
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``702204
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``702328
olog`1`n`(F)->F`pElementaryFunction(R,F)``702415
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``702479
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)``702623
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``702681
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``702739
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``702810
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``702883
olog`1`x`(_$)->_$`cElementaryFunctionCategory``702955
olog`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``703019
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``703086
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`703206
ological?`1`x`(_$)->Boolean`dFortranScalarType``703330
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``703422
olookupFunction`1`n`(_$)->Identifier`dFunctorData``703502
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``703616
olookup`1`x`(_$)->PositiveInteger`cFinite``703690
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``703778
olow`1`x`(_$)->S`cSegmentCategory(S)``704252
olowerBound`1`x`(_$)->SpadAst`dStepAst``704341
olowerCase!`1`x`(_$)->_$`cStringAggregate``704442
olowerCase?`1`x`(_$)->Boolean`dCharacter``704546
olowerCase`0`x`()->_$`dCharacterClass``704657
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``704781
olowerCase`1`x`(_$)->_$`dCharacter``704862
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``705033
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``705185
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``705481
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``705683
olquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``705765
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``705957
olquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``706071
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``706161
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``706242
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``706336
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``706412
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``706494
omacroExpand`2`n`(SpadAst,Environment)->SpadAst`dCompilerPackage``706621
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`706768
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``706871
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``706982
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`707319
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``707552
omainExpression`1`x`(_$)->SpadAst`dWhereAst``707679
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``707770
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``707860
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``708021
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``708281
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`708605
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`708851
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``709100
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``709224
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``709364
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``709523
omainVariable`1`x`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``709682
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``709882
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``710028
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``710114
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``710151
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``710275
omakeFR`2`x`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``710382
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``710478
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``710734
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``711057
omakeGraphImage`1`n`(_$)->_$`dGraphImage``711415
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``711819
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``712397
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``713035
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``713119
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``713381
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``713643
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``713949
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``714280
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``714536
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``714813
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``715126
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``715457
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``715869
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``716215
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``716616
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``716978
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``717353
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``717764
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``718198
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``718695
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``718850
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``718933
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``719060
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``719178
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``719264
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``720157
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``720290
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``720357
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`720672
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``720993
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``721133
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``721355
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``721688
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``721914
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``722247
omakeYoungTableau`2`x`(List(PositiveInteger),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``722489
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``722764
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``722817
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``722859
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``722949
omantissa`1`x`(_$)->Integer`dMachineFloat``723014
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xStreamAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``723073
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`723158
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``723270
omapCoef`2`x`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``723375
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``723459
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``723887
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``724465
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``724550
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`cFreeMonoidCategory(S)``724635
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``724720
omapGen`2`n`((S)->S,_$)->_$`cFreeMonoidCategory(S)``724846
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``724929
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``725012
omapGen`2`x`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``725095
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``725178
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``725347
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``725389
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``725552
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``725654
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``725756
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``726078
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``726556
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``726662
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->R,_$)->_$`dAntiSymm(R,lVar)``726701
omap`2`n`((R)->R,_$)->_$`dMonoidRing(R,M)``726793
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``726902
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``726998
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``727127
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((S)->T,PropositionalFormula(S))->PropositionalFormula(T)`dPropositionalFormulaFunctions2(S,T)``727221
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``727380
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``727417
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``727564
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``727704
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`dInfiniteTupleFunctions2(A,B)``727828
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``727903
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``728069
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``728253
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``728390
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``728562
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``728673
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``728866
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``729006
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``729165
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``729202
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``729239
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``729276
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``729395
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``729501
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``729607
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``729646
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``729741
omap`2`x`((E)->F,Union(Record(mainpart:E,limitedlogs:List(Record(coeff:E,logand:E))),"failed"))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pIntegrationResultFunctions2(E,F)``729779
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``729818
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``729857
omap`2`x`((R)->R,_$)->_$`cFreeModuleCat(R,Basis)``729966
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``730089
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``730182
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``730284
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``730379
omap`2`x`((R)->R,_$)->_$`dFactored(R)``730475
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``730749
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``730846
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``731037
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``731117
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``731202
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``731474
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``731651
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``731739
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``731853
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``732024
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``732062
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``732349
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``732471
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``732616
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`732706
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``732927
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``732994
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``733070
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``733203
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`733336
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``733424
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``733535
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``733615
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``733654
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``733693
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``733786
omap`2`x`((R1)->R2,Matrix(R1))->Matrix(R2)`pExpertSystemToolsPackage2(R1,R2)``733879
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``734013
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``734050
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``734143
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``734303
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``734462
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``734558
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``734773
omap`2`x`((S)->S,_$)->_$`dEquation(S)``734983
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``735084
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``735164
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``735290
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,String,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``735381
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``735518
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``735823
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``735862
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``735901
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``736312
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``736351
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``736582
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``736824
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``736941
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``737077
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``737181
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``737488
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``737656
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`737962
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``738039
omappingAst`2`x`(List(TypeAst),TypeAst)->_$`dMappingAst``738117
omappingMode`2`n`(_$,List(_$))->_$`dInternalTypeForm``738191
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``738306
omat`2`x`(List(DoubleFloat),NonNegativeInteger)->Matrix(DoubleFloat)`pExpertSystemToolsPackage``738374
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``738439
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``738624
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``739004
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``739372
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``739729
omatch`3`x`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``740100
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``740625
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``741008
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``741376
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``741466
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``741688
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``741778
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``741997
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``742087
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``742307
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``742397
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``742617
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``742707
omatrixConcat3D`3`x`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``742927
omatrixDimensions`1`x`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``743023
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``743092
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``743255
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``743365
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``743511
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``743657
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``743741
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``743856
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``743948
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`744038
omaxPoints3D`0`n`()->Integer`dPlot3D``744289
omaxPoints`0`n`()->Integer`dPlot``744365
omaxPoints`0`x`()->Integer`pGraphicsDefaults``744438
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``744512
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``744583
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``744672
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`744759
omax`0`x`()->_$`cOrderedFinite``744822
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`744868
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``744940
omax`2`n`(S,S)->S`xOrderedType&(S)``0
omax`2`x`(_$,_$)->_$`cOrderedType``745017
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``745111
omaxdeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``745269
omaximumExponent`0`x`()->Integer`dMachineFloat``745355
omaximumExponent`1`x`(Integer)->Integer`dMachineFloat``745429
omaxint`0`x`()->PositiveInteger`dMachineInteger``745513
omaxint`1`x`(PositiveInteger)->PositiveInteger`dMachineInteger``745577
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``745651
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``745733
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``745797
omeasure2Result`1`x`(Record(measure:Float,name:String,explanations:List(String)))->Result`pExpertSystemToolsPackage``746036
omeasure2Result`1`x`(Record(measure:Float,name:String,explanations:List(String),extra:Result))->Result`pExpertSystemToolsPackage``746120
omeasure`1`x`(NumericalIntegrationProblem)->Record(measure:Float,name:String,explanations:List(String),extra:Result)`pAnnaNumericalIntegrationPackage``746204
omeasure`1`x`(NumericalODEProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaOrdinaryDifferentialEquationPackage``746654
omeasure`1`x`(NumericalOptimizationProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaNumericalOptimizationPackage``747385
omeasure`1`x`(NumericalPDEProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaPartialDifferentialEquationPackage``748006
omeasure`2`x`(NumericalIntegrationProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String),extra:Result)`pAnnaNumericalIntegrationPackage``748736
omeasure`2`x`(NumericalODEProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaOrdinaryDifferentialEquationPackage``749257
omeasure`2`x`(NumericalOptimizationProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaNumericalOptimizationPackage``750017
omeasure`2`x`(NumericalPDEProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaPartialDifferentialEquationPackage``750667
omeasure`2`x`(RoutinesTable,Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Record(measure:Float,explanations:String)`cNumericalOptimizationCategory``751426
omeasure`2`x`(RoutinesTable,Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String,extra:Result)`cNumericalIntegrationCategory``751961
omeasure`2`x`(RoutinesTable,Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Record(measure:Float,explanations:String)`cNumericalOptimizationCategory``752482
omeasure`2`x`(RoutinesTable,Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Record(measure:Float,explanations:String)`cPartialDifferentialEquationsSolverCategory``753017
omeasure`2`x`(RoutinesTable,Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String,extra:Result)`cNumericalIntegrationCategory``753538
omeasure`2`x`(RoutinesTable,Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String)`cOrdinaryDifferentialEquationsSolverCategory``754059
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`754580
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`755604
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`755983
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`756156
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``757215
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``757322
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``757901
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``758003
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`758122
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(FunctionDescriptor)`dOverloadSet``758310
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`758465
omembers`1`x`(_$)->List(S)`dMultiset(S)``758661
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`758791
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``758880
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``759006
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``759103
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``759285
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``759605
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``759684
omerge`2`n`(A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``759869
omerge`2`x`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`759958
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``760108
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``760236
omerge`3`n`((S,S)->Boolean,A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,_$,_$)->_$`cFiniteLinearAggregate(S)``760411
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``761038
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``761252
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``761305
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``761359
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``761410
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``761464
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``761521
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``761732
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``761994
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``762720
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``763611
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``764145
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``764910
omessagePrint`1`n`(String)->Void`dOutputForm``765273
omessage`1`n`(String)->_$`dOutputForm``765413
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``765498
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``765570
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``765647
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``765752
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``765857
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``765950
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``766041
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`766079
ominPoints3D`0`n`()->Integer`dPlot3D``766295
ominPoints`0`n`()->Integer`dPlot``766371
ominPoints`0`x`()->Integer`pGraphicsDefaults``766444
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``766518
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``766589
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``766624
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`766659
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`766729
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``766798
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``766888
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`766976
omin`0`x`()->_$`cOrderedFinite``767039
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`767085
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``767158
omin`2`n`(S,S)->S`xOrderedType&(S)``0
omin`2`x`(_$,_$)->_$`cOrderedType``767242
omindegTerm`1`x`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``767336
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``767413
omindeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``767571
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``767667
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``767786
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`767907
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`767986
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``768143
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``768219
ominimumDegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``768342
ominimumDegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``768487
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``768631
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``768780
ominimumExponent`0`x`()->Integer`dMachineFloat``768950
ominimumExponent`1`x`(Integer)->Integer`dMachineFloat``769024
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``769108
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`769232
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`769356
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)``769444
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``769526
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``769675
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``769824
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``770023
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``770076
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``770125
omirror`1`n`(_$)->_$`dMagma(VarSet)``770223
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``770488
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``770551
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``770665
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``770765
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``770800
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``770962
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`771217
omkcomm`1`x`(Integer)->_$`dCommutator``771336
omkcomm`2`x`(_$,_$)->_$`dCommutator``771376
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``771418
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``771461
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``771724
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``771956
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``772454
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``772920
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``773231
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``773729
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``773854
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``773963
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`774798
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``774874
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``774968
omodulus`0`n`()->Rep`dModMonic(R,Rep)``775031
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``775069
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``775124
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``775163
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``775202
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``775241
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``775517
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``775585
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``775688
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``775901
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``776094
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``776236
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)``776415
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`776660
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`776884
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``777154
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``777378
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`777530
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`777756
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``778028
omonomRDE`3`n`(Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),c:Fraction(UP),t:UP),"failed")`pTranscendentalRischDE(F,UP)``778287
omonomRDEsys`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),h:UP,c1:Fraction(UP),c2:Fraction(UP),t:UP),"failed")`pTranscendentalRischDESystem(F,UP)``778610
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``778977
omonom`2`x`(Basis,R)->_$`cFreeModuleCat(R,Basis)``779072
omonom`2`x`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``779191
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``779286
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``779353
omonomial?`1`n`(_$)->Boolean`dMonoidRing(R,M)``779394
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``779461
omonomial?`1`x`(_$)->Boolean`cFreeModuleCat(R,Basis)``779528
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``779615
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``779688
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``779850
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(R,E)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``780066
omonomial`2`n`(R,M)->_$`dMonoidRing(R,M)``780108
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``780193
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``780235
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,Q)``780343
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``780444
omonomial`2`x`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``780539
omonomial`2`x`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``780665
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(Expon))->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`x`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``780791
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``780881
omonomial`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``780977
omonomial`3`x`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``781052
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``781106
omonomial`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``781158
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`dMonoidRing(R,M)``781319
omonomials`1`x`(_$)->List(_$)`cFreeModuleCat(R,Basis)``781401
omonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``781486
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`781664
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``781871
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``781950
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``782229
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``782508
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``782589
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``782669
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``782795
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``783041
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``783291
omr`1`n`(List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``783460
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``783635
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``783711
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``783756
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``783810
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``784013
omultiple?`1`n`(_$)->Boolean`dPattern(R)``784122
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``784267
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``784573
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``784843
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``785004
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``785214
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``785432
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``785565
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``785733
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``785858
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``785976
omultiset`0`x`()->_$`dMultiset(S)``786117
omultiset`1`x`(List(S))->_$`dMultiset(S)``786198
omultiset`1`x`(S)->_$`dMultiset(S)``786274
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``786344
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``786445
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``786546
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``786678
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``786810
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``786858
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``786959
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`x`(_$)->V`cRecursivePolynomialCategory(R,E,V)``787098
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``787321
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``787474
oname`1`n`(_$)->Identifier`dOverloadSet``787513
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``787582
oname`1`n`(_$)->Symbol`dRuleCalled(f)``787623
oname`1`x`(_$)->Identifier`dBinding``787664
oname`1`x`(_$)->Identifier`dHeadAst``787723
oname`1`x`(_$)->Identifier`dProperty``787796
oname`1`x`(_$)->Identifier`dSignatureAst``787856
oname`1`x`(_$)->Name`cFileCategory(Name,S)``787917
oname`1`x`(_$)->S`cOperatorCategory(S)``787987
oname`1`x`(_$)->SpadAst`dAttributeAst``788050
oname`1`x`(_$)->String`cFileNameCategory``788175
oname`1`x`(_$)->_$`dSymbol``788237
onan?`1`x`(_$)->Boolean`dDoubleFloat``788297
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``788397
onand`2`x`(_$,_$)->_$`dBoolean``788502
onary?`1`x`(_$)->Boolean`dBasicOperator``788581
onativeModuleExtension`0`n`()->String`dSystem``788645
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``788752
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``788829
onegative?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``788904
onegative?`1`x`(_$)->Boolean`cOrderedAbelianGroup``789035
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``789105
oneglist`1`x`(List(R1))->List(R1)`pExpertSystemToolsPackage1(R1)``789207
onewLine`0`x`()->String`pDisplayPackage``789288
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``789348
onewSubProgram`1`x`(Symbol)->Void`dTheSymbolTable``789387
onewTypeLists`1`x`(_$)->SExpression`dSymbolTable``789494
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``789538
onew`0`n`()->_$`dPatternMatchResult(R,S)``789592
onew`0`n`()->_$`dSubSpace(n,R)``789646
onew`0`n`()->_$`dSubSpaceComponentProperty``789680
onew`0`x`()->_$`dDataArray(N,T)``789714
onew`0`x`()->_$`dSymbol``789793
onew`0`x`()->_$`dTexFormat``789861
onew`1`x`(R)->_$`dSquareMatrix(ndim,R)``790032
onew`1`x`(_$)->_$`dSymbol``790166
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``790243
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``790314
onew`3`x`(String,String,String)->_$`cFileNameCategory``790406
onewline`0`x`()->_$`dCharacter``790718
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``790775
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``791096
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`x`(_$)->Maybe(_$)`cStepThrough``791803
onextLatticePermutation`3`x`(List(PositiveInteger),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``791895
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``792333
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``793169
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``794163
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``794555
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``794947
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``795031
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``796092
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``796916
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``797009
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``798053
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``798279
onextsubResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`798512
onil?`1`x`(_$)->Boolean`dSyntax``798764
onilFactor`2`x`(R,Integer)->_$`dFactored(R)``798844
onil`0`x`()->_$`dList(S)``798996
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`799033
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``799305
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``799395
onoValueMode`0`n`()->_$`dInternalTypeForm``799638
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`799748
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``799877
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``799990
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``800129
ononLinearPart`1`x`(List(Expression(DoubleFloat)))->List(Expression(DoubleFloat))`pe04AgentsPackage``800210
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``800303
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``800343
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`800470
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``800597
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``800698
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``800799
onor`2`x`(_$,_$)->_$`dBoolean``800902
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``800979
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``801020
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``801063
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``801170
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``801301
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``801363
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``801426
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``801544
onorm`1`x`(_$)->R`cComplexCategory(R)``801686
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``801747
onorm`1`x`(_$)->R`cOctonionCategory(R)``801862
onorm`1`x`(_$)->R`cQuaternionCategory(R)``801972
onorm`1`x`(_$)->_$`cRealNumberSystem``802068
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``802125
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``802253
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``802382
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``802454
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``802549
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``802683
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``802818
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``802946
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``803075
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``803209
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`803344
onormal01`0`n`()->Float`pRandomFloatDistributions``803631
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``803670
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``803835
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`803934
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``804217
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``804350
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`804449
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``804897
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`805008
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``805181
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``805421
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``805461
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``805626
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``805698
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``805809
onormalize`1`x`(_$)->_$`dFloat``805929
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``805998
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``806140
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``806246
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``806446
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``806656
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``806811
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``806995
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``807319
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`807519
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``807719
onot`1`x`(_$)->_$`cBooleanLogic``807775
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``807843
onothing`0`x`()->_$`dMaybe(T)``807926
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)``807988
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``808023
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``808097
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)``808169
onthCoef`2`x`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``808207
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``808289
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``808373
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`cFreeMonoidCategory(S)``808457
onthExponent`2`x`(_$,Integer)->Integer`dFactored(R)``808541
onthFactor`2`n`(_$,Integer)->S`cFreeMonoidCategory(S)``808755
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``808838
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``808921
onthFactor`2`x`(_$,Integer)->R`dFactored(R)``809004
onthFactor`2`x`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``809283
onthFlag`2`x`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``809362
onthFractionalTerm`2`x`(_$,Integer)->_$`dPartialFraction(R)``809584
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``809751
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``809862
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``810152
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``810220
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``810276
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,ATTRIBUTE(shallowlyMutable))`810357
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,ATTRIBUTE(shallowlyMutable))`810443
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`810529
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`810615
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`810701
onull`1`x`(_$)->Boolean`dList(S)``810788
onullary?`1`x`(_$)->Boolean`dBasicOperator``810852
onullary`1`x`(A)->()->A`pMappingPackage1(A)``810910
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``810994
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`811127
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`811260
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`811393
onumFunEvals3D`0`n`()->Integer`dPlot3D``811526
onumFunEvals`0`n`()->Integer`dPlot``811595
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`811661
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``811716
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``811764
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``811856
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``811948
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``812143
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``812609
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``812788
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``812890
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``813083
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``813372
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``813458
onumberOfHues`0`x`()->PositiveInteger`dColor``813599
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``813682
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``814120
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`dMonoidRing(R,M)``814286
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``814397
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFreeModuleCat(R,Basis)``814495
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``814575
onumberOfOperations`1`x`(Vector(Expression(DoubleFloat)))->Record(additions:Integer,multiplications:Integer,exponentiations:Integer,functionCalls:Integer)`pExpertSystemToolsPackage``814714
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``814859
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumer`1`n`(_$)->A`dLocalAlgebra(A,R,S)``815004
onumer`1`n`(_$)->M`dLocalize(M,R,S)``815061
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``815118
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``815228
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``815300
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``815371
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`815481
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`815720
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``815798
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``815884
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`816082
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`816207
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`816332
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`816457
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`816615
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`816772
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`816929
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`816996
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`817063
onumeric`1`x`(S)->Float`pNumeric(S)``817130
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`817197
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`817297
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`817396
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``817495
onumericalIntegration`2`x`(Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat),Result)->Result`cNumericalIntegrationCategory``817595
onumericalIntegration`2`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),Result)->Result`cNumericalIntegrationCategory``817744
onumericalOptimization`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Result`cNumericalOptimizationCategory``817893
onumericalOptimization`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Result`cNumericalOptimizationCategory``818038
oobj`1`x`(_$)->None`dAny``818183
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``818335
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``818566
oocf2ocdf`1`x`(OrderedCompletion(Float))->OrderedCompletion(DoubleFloat)`pExpertSystemToolsPackage``818879
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``819017
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``819125
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`819207
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``819274
oodd?`1`x`(_$)->Boolean`dPermutation(S)``819348
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``819481
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``819624
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``819767
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``819910
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``820053
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``820114
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``820440
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``820814
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``820901
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``821019
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``821153
oone?`1`n`(S)->Boolean`xMonadWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xMonoid&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`x`(_$)->Boolean`cMonadWithUnit``821218
oone?`1`x`(_$)->Boolean`cMonoid``821278
oone?`1`x`(_$)->Boolean`dArity``821333
oone?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``821406
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``821512
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``821599
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``821696
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``821769
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``821844
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``821908
ooperation`1`x`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``822022
ooperations`1`n`(S)->List(OverloadSet)`xConstructorCategory&(S)``0
ooperations`1`x`(_$)->List(OverloadSet)`cConstructorCategory``822108
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``822271
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``822503
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``822673
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``822763
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``822935
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``823014
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``823126
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``823304
ooperator`1`n`(_$)->SpadAst`dReduceAst``823367
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``823436
ooperator`1`x`(Symbol)->_$`dBasicOperator``823548
ooperator`2`n`(S,Arity)->_$`dTermAlgebraOperator(S)``823628
ooperator`2`x`(Symbol,Arity)->_$`dBasicOperator``823716
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``823796
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``823871
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``823988
ooptAttributes`1`x`(Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat))))->List(String)`pe04AgentsPackage``824041
ooptimize`1`x`(NumericalOptimizationProblem)->Result`pAnnaNumericalOptimizationPackage``824149
ooptimize`2`x`(Expression(Float),List(Float))->Result`pAnnaNumericalOptimizationPackage``824535
ooptimize`2`x`(List(Expression(Float)),List(Float))->Result`pAnnaNumericalOptimizationPackage``825032
ooptimize`2`x`(NumericalOptimizationProblem,RoutinesTable)->Result`pAnnaNumericalOptimizationPackage``825581
ooptimize`4`x`(Expression(Float),List(Float),List(OrderedCompletion(Float)),List(OrderedCompletion(Float)))->Result`pAnnaNumericalOptimizationPackage``826020
ooptimize`5`x`(Expression(Float),List(Float),List(OrderedCompletion(Float)),List(Expression(Float)),List(OrderedCompletion(Float)))->Result`pAnnaNumericalOptimizationPackage``826623
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``827597
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``827798
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``827984
ooptional?`1`n`(_$)->Boolean`dPattern(R)``828127
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``828231
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``828405
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``828544
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``828772
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``829001
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``829286
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``829569
oor`2`n`(_$,_$)->_$`dOutputForm``829683
oor`2`x`(_$,_$)->_$`cBooleanLogic``829739
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``829810
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``830015
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``830202
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``830390
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``830493
oord`1`x`(_$)->NonNegativeInteger`dCharacter``830628
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``830769
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``830806
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``830843
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``830880
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``830917
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``831073
oorder`1`x`(_$)->Integer`cFloatingPointSystem``831229
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``831351
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``831557
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``831674
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``831770
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``831857
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``831922
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``832045
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``832181
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``832265
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``832380
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``832503
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`832655
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``832821
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``832862
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``832923
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`833088
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``833223
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``833625
ooutputAsFortran`0`x`()->Void`dAsp12(name)``833751
ooutputAsFortran`0`x`()->Void`dAsp29(name)``833832
ooutputAsFortran`0`x`()->Void`dAsp33(name)``833913
ooutputAsFortran`1`x`(FileName)->Void`pFortranPackage``833994
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``834044
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``834214
ooutputAsFortran`1`x`(_$)->Void`cFortranProgramCategory``834288
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``834390
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``834539
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``834727
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``834879
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``835040
ooutputBinaryFile`1`x`(FileName)->_$`dOutputBinaryFile``835164
ooutputBinaryFile`1`x`(String)->_$`dOutputBinaryFile``835284
ooutputFixed`0`x`()->Void`dFloat``835404
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``835519
ooutputFloating`0`x`()->Void`dFloat``835652
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``835835
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``835990
ooutputForm`1`n`(Integer)->_$`dOutputForm``836062
ooutputForm`1`n`(String)->_$`dOutputForm``836128
ooutputForm`1`n`(Symbol)->_$`dOutputForm``836193
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``836258
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``836438
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``836558
ooutputGeneral`0`x`()->Void`dFloat``837143
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``837334
ooutputList`1`x`(List(Any))->Void`pOutputPackage``837450
ooutputMeasure`1`x`(Float)->String`pExpertSystemToolsPackage``837653
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``837747
ooutput`0`n`()->_$`dIOMode``837887
ooutput`1`x`(OutputForm)->Void`pOutputPackage``837951
ooutput`1`x`(String)->Void`pOutputPackage``838092
ooutput`2`x`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`838228
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``838318
oover`2`n`(_$,_$)->_$`dOutputForm``838486
ooverbar`1`n`(_$)->_$`dOutputForm``838578
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``838646
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`cFreeMonoidCategory(S)``838732
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``838929
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``839069
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``839155
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``839243
opack!`1`x`(_$)->_$`dLibrary``839329
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``839415
opackage`0`n`()->_$`dConstructorKind``839504
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``839558
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``839778
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``840081
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``840384
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``840699
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``840966
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``841094
opair`2`x`(S,T)->_$`dPair(S,T)``841173
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))`841244
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))`841424
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))`841659
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)``841787
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)``842246
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``842764
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``843164
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)``843417
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``843834
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``844042
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``844242
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``844414
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``844717
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``844841
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)``844989
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)``845341
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)``845755
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``846037
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``846281
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``846488
oparametersOf`1`x`(_$)->List(Symbol)`dSymbolTable``846743
oparameters`1`n`(_$)->List(Identifier)`dAnonymousFunction``846832
oparameters`1`x`(_$)->List(ParameterAst)`dHeadAst``846905
oparametric?`1`n`(_$)->Boolean`dPlot``846994
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`dOutputForm``847064
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``847192
oparen`1`x`(List(_$))->_$`cExpressionSpace``847267
oparen`1`x`(_$)->_$`cExpressionSpace``847550
oparent`1`n`(_$)->_$`dSubSpace(n,R)``847773
oparents`1`x`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``847956
oparseString`1`n`(String)->_$`dInputForm``848059
oparse`1`x`(String)->List(Syntax)`pSpadParser``848138
opart?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
opart?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``848468
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``848602
opartialFraction`2`n`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``848823
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``848974
opartialFraction`3`n`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``849137
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``849369
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``849584
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``849807
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``849857
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``849959
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``850061
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``850380
opartition`1`x`(List(PositiveInteger))->_$`dPartition``850561
opartitions`1`x`(NonNegativeInteger)->Stream(_$)`dPartition``850642
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`x`(_$)->List(PositiveInteger)`dPartition``850724
oparts`1`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``850828
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`850913
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``851107
opastel`1`x`(Color)->_$`dPalette``851254
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)``851350
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)``851605
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`851919
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``852120
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``852311
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``852493
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``852685
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`852864
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``853049
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)``853236
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``853453
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)``853758
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)``854015
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``854396
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``854587
opdct`1`x`(_$)->PositiveInteger`dPartition``854690
opdf2df`1`x`(Polynomial(DoubleFloat))->DoubleFloat`pExpertSystemToolsPackage``854843
opdf2ef`1`x`(Polynomial(DoubleFloat))->Expression(Float)`pExpertSystemToolsPackage``855010
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``855111
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``855229
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``855392
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``855532
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``855660
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``855771
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``857016
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``857128
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``857312
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``857548
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``857757
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``857910
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``858068
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``858214
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``858370
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``858476
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``858729
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``858985
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``859102
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``859204
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`x`()->_$`cTranscendentalFunctionCategory``859254
opi`0`x`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``859305
opi`0`x`()->_$`dPi``859439
opile`1`n`(List(_$))->_$`dOutputForm``859492
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``859692
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``859844
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``860224
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``860685
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``860902
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``861119
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``861236
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``861352
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``861440
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``861569
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``861607
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``861645
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``861787
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``861936
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``862126
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``862205
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``862326
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``862502
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``862746
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``862800
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``862990
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``863042
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``863090
oplus`2`x`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`863208
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``863306
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))`863431
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))`863642
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))`863768
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``863923
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``863996
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``864160
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``864248
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``864358
opointColor`1`x`(Float)->_$`dDrawOption``864584
opointColor`1`x`(Palette)->_$`dDrawOption``864727
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``864898
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``865018
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``865166
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``865347
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``865508
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``865771
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``865820
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``865910
opoint`1`x`(List(R))->_$`cPointCategory(R)``866010
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``866123
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``866243
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``866423
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``866673
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``866835
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``867077
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``867415
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``867654
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``867918
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``867957
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``868431
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`868539
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``868654
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``868866
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``869005
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``869080
opolyRDE`5`n`(UP,UP,UP,Integer,(UP)->UP)->Union(ans:Record(ans:UP,nosol:Boolean),eq:Record(b:UP,c:UP,m:Integer,alpha:UP,beta:UP))`pTranscendentalRischDE(F,UP)``869147
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``869697
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``870074
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``870465
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``870558
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``870640
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``870722
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``870856
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``871006
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``871185
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``871414
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``871770
opolynomialZeros`3`x`(Polynomial(Fraction(Integer)),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pExpertSystemContinuityPackage``871930
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``872170
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``872291
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``872412
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``872560
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``872708
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``872747
opop!`1`x`(_$)->S`cStackAggregate(S)``872904
opopFortranOutputStack`0`x`()->Void`pFortranOutputStackPackage``873124
oport`1`x`(SingleInteger)->_$`dPortNumber``873192
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dInputBinaryFile``873260
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``873336
oposition`1`x`(_$)->SingleInteger`dInputBinaryFile``873415
oposition`2`n`((S)->Boolean,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`x`((S)->Boolean,_$)->Integer`cFiniteLinearAggregate(S)``873492
oposition`2`x`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`873695
oposition`3`n`(S,A,Integer)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(CharacterClass,_$,Integer)->Integer`cStringAggregate``873852
oposition`3`x`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`873992
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``874194
opositive?`1`n`(S)->Boolean`xOrderedAbelianMonoid&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``874350
opositive?`1`x`(_$)->Boolean`cOrderedAbelianMonoid``874481
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``874554
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``874656
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``874779
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``874869
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``874995
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``875085
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``875931
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``876145
opostfix`2`n`(_$,_$)->_$`dOutputForm``876301
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``876375
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``876409
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``876683
opowerSum`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``876789
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`876877
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`876966
opowers`1`x`(_$)->List(Pair(PositiveInteger,PositiveInteger))`dPartition``877044
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``877199
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``877276
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``877455
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``877624
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``877683
oprecision`0`x`()->PositiveInteger`dMachineFloat``877747
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`877815
oprecision`1`x`(PositiveInteger)->PositiveInteger`dMachineFloat``877900
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``877978
opredicate`1`x`(_$)->SpadAst`dSuchThatAst``878131
opredicates`1`n`(_$)->List(Any)`dPattern(R)``878237
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``878366
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``878598
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``878813
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``878960
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``879140
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``879310
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``879437
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``879564
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``879686
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``879802
opresub`2`n`(_$,_$)->_$`dOutputForm``879918
opresuper`2`n`(_$,_$)->_$`dOutputForm``880000
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``880086
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``880170
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`880357
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`880483
oprimaryDecomp`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl,nv)``880656
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``880772
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``880846
oprime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``881977
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``882039
oprimeFactor`2`x`(R,Integer)->_$`dFactored(R)``882203
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``882351
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``882443
oprime`1`n`(_$)->_$`dOutputForm``882540
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``882632
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``882712
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)``882800
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``883146
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)``883391
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``883597
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``883797
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``883946
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``884183
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``884383
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``884633
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`885022
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``885352
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``885744
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``886086
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`886281
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`886370
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``886493
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`886616
oprimitivePart`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`886740
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`886871
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`887068
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)``887232
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)``887425
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``887781
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``887815
oprincipalAncestors`1`x`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``887895
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``888024
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``888242
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``888280
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``888320
oprintCode`1`x`(_$)->Void`dFortranCode``888359
oprintHeader`0`x`()->Void`dTheSymbolTable``888427
oprintHeader`1`x`(Symbol)->Void`dTheSymbolTable``888575
oprintHeader`2`x`(Symbol,_$)->Void`dTheSymbolTable``888721
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``888871
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStatement`1`x`(List(OutputForm))->_$`dFortranCode``889116
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``889195
oprintTypes`1`x`(Symbol)->Void`dTheSymbolTable``889247
oprintTypes`1`x`(_$)->Void`dSymbolTable``889368
oprint`1`n`(_$)->Void`dOutputForm``889489
oprint`1`x`(OutputForm)->Void`pPrintPackage``889538
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``889649
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``889770
oproblemPoints`3`x`(Expression(DoubleFloat),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pExpertSystemContinuityPackage``889946
oproblemPoints`3`x`(Expression(DoubleFloat),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pd01AgentsPackage``890160
oprocessTemplate`1`x`(FileName)->FileName`dFortranTemplate``890364
oprocessTemplate`2`x`(FileName,FileName)->FileName`dFortranTemplate``890491
oprod`1`n`(_$)->_$`dOutputForm``890601
oprod`2`n`(_$,_$)->_$`dOutputForm``890689
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``890813
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``890975
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``891081
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``891228
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``891334
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``891481
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``891913
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``892176
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``892286
oprologue`1`x`(_$)->List(String)`dTexFormat``892602
oproperties`1`x`(_$)->AssociationList(String,None)`dBasicOperator``892682
oproperties`1`x`(_$)->List(Property)`dBinding``892783
oproperty`2`x`(Identifier,SExpression)->_$`dProperty``892868
oproperty`2`x`(_$,Identifier)->Maybe(None)`dBasicOperator``892951
oproperty`2`x`(_$,String)->Union(None,"failed")`dBasicOperator``893080
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`n`(polR,polR)->Record(coef:R,quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``893207
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`893323
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``893516
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`893764
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``893956
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)``894193
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)``894322
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)``894472
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)``894623
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``894764
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)``894991
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``895155
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)``895391
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``895556
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``895793
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``895992
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``896235
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``896486
optree`1`x`(S)->_$`dPendantTree(S)``896579
optree`2`x`(_$,_$)->_$`dPendantTree(S)``896626
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``896665
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``896848
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``896918
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``897030
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``897272
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``897325
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``897493
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``897715
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``897929
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``898066
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``898407
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``898547
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``898743
opush!`2`x`(S,_$)->S`cStackAggregate(S)``898891
opushFortranOutputStack`1`x`(FileName)->Void`pFortranOutputStackPackage``899153
opushFortranOutputStack`1`x`(String)->Void`pFortranOutputStackPackage``899239
opushNewContour`2`x`(Binding,_$)->_$`dScope``899325
opush`2`x`(Binding,_$)->_$`dContour``899402
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``899465
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``899510
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``899554
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``899704
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``899857
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``900005
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``900141
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``900184
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``900226
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``900384
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``900588
oputProperties`3`x`(Identifier,List(Property),_$)->_$`dEnvironment``901000
oputProperty`4`x`(Identifier,Identifier,SExpression,_$)->_$`dEnvironment``901107
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``901220
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``901437
oqelt`2`x`(_$,NonNegativeInteger)->T`dDataArray(N,T)``901806
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``901905
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``902099
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``902271
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``902383
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``902523
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``902569
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`902660
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``902912
oqsetelt`3`x`(_$,NonNegativeInteger,T)->T`dDataArray(N,T)``903089
oquadratic?`1`x`(Expression(DoubleFloat))->Boolean`pe04AgentsPackage``903209
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``903288
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``903388
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``903474
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``903515
oqualifier`1`x`(_$)->SpadAst`dWhereAst``903560
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``903632
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``903671
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``903718
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``903912
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``904069
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``904284
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``904466
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``904547
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``904628
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``904699
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``904770
oqueue`1`x`(List(S))->_$`dQueue(S)``904839
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``904993
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``905116
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``905385
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``905442
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``905551
oquote`0`x`()->_$`dCharacter``905648
oquote`1`n`(_$)->_$`dOutputForm``905717
oquoted?`1`n`(_$)->Boolean`dPattern(R)``905787
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``905871
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``906098
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``906173
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``906324
orCoord`1`n`(Point(R))->R`pPointPackage(R)``906427
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``906698
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``906823
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``906977
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``907175
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``907356
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``907594
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``907746
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)``907924
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``908242
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``908439
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``908605
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``908816
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``909007
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``909176
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``909369
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``909566
oradical`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``909797
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``909865
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``909947
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``910109
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``910176
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``910246
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``910313
orandnum`0`x`()->Integer`pRandomNumberSource``910409
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``910474
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``910542
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``910603
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``910659
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``910719
orandom`0`n`()->A`xFiniteSetAggregate&(A,S)``0
orandom`0`n`()->A`xQuotientFieldCategory&(A,S)``0
orandom`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
orandom`0`x`()->_$`cFinite``910781
orandom`0`x`()->_$`cIntegerNumberSystem``910843
orandom`0`x`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`910892
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``910942
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``911065
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``911149
orandom`1`x`(_$)->_$`cIntegerNumberSystem``911285
orandom`1`x`(_$)->_$`dNonNegativeInteger``911356
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``911427
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``911594
orangeIsFinite`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")`pd01AgentsPackage``911700
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``911800
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``911880
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``911999
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``912124
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``912249
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``912403
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``912535
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``912739
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``912970
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``913024
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``913097
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`913160
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`913223
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`913286
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``913349
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``913492
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``913606
orarrow`2`n`(_$,_$)->_$`dOutputForm``913720
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``913792
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``913930
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``914046
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``914172
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``914290
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``914595
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``914821
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``915126
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``915352
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``915480
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`915587
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``915654
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`915755
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`915871
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`916067
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`916187
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`916261
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``916335
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``916471
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``916607
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``916785
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`916961
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`917095
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``917256
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`917375
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``917497
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`917602
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`917717
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`917942
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`918052
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`918164
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``918277
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``918355
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``918433
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`918516
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``918599
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``918697
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`918806
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``918916
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`919004
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`919124
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`919335
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`919495
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`919612
oratpart`1`n`(_$)->F`dIntegrationResult(F)``919727
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``919804
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``919925
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``919968
oread!`1`x`(_$)->S`cFileCategory(Name,S)``920041
oreadByte!`1`x`(_$)->Maybe(Byte)`cInputByteConduit``920205
oreadBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xInputByteConduit&(S)``0
oreadBytes!`2`x`(_$,ByteBuffer)->NonNegativeInteger`cInputByteConduit``920355
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``920544
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``920739
oreadInt16!`1`n`(S)->Maybe(Int16)`xInputByteConduit&(S)``0
oreadInt16!`1`x`(_$)->Maybe(Int16)`cInputByteConduit``920952
oreadInt32!`1`n`(S)->Maybe(Int32)`xInputByteConduit&(S)``0
oreadInt32!`1`x`(_$)->Maybe(Int32)`cInputByteConduit``921114
oreadInt8!`1`n`(S)->Maybe(Int8)`xInputByteConduit&(S)``0
oreadInt8!`1`x`(_$)->Maybe(Int8)`cInputByteConduit``921276
oreadLine!`1`x`(_$)->String`dTextFile``921436
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``921530
oreadUInt16!`1`n`(S)->Maybe(UInt16)`xInputByteConduit&(S)``0
oreadUInt16!`1`x`(_$)->Maybe(UInt16)`cInputByteConduit``921747
oreadUInt32!`1`n`(S)->Maybe(UInt32)`xInputByteConduit&(S)``0
oreadUInt32!`1`x`(_$)->Maybe(UInt32)`cInputByteConduit``921910
oreadUInt8!`1`n`(S)->Maybe(UInt8)`xInputByteConduit&(S)``0
oreadUInt8!`1`x`(_$)->Maybe(UInt8)`cInputByteConduit``922073
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``922234
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``922325
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``922390
oreal?`1`x`(_$)->Boolean`dFortranScalarType``922455
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``922541
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``922768
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``923065
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``923215
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``923401
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``923518
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``923839
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``923926
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``924206
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``924300
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``924512
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``924614
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``925513
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``925644
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``925775
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``925934
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``926093
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``926287
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``926481
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``926706
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``926931
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``927025
oreal`1`x`(_$)->R`cComplexCategory(R)``927119
oreal`1`x`(_$)->R`cOctonionCategory(R)``927172
oreal`1`x`(_$)->R`cQuaternionCategory(R)``927235
orecip`0`n`()->_$`dMoebiusTransform(F)``927304
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)``927402
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``927505
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``927542
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``927579
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`927623
orecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``927849
orecip`1`x`(_$)->Union(_$,"failed")`cMonoid``928044
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,Q)``928184
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``928298
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``928494
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``928586
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``928756
orecoverAfterFail`3`x`(_$,String,Integer)->Union(String,"failed")`dRoutinesTable``928854
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``928964
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``929089
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``929200
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``929261
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``929295
ored`0`x`()->_$`dColor``929330
ored`1`x`(_$)->T`cRGBColorModel(T)``929403
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``929460
oredpps`2`n`(Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))),List(GR))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``929597
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``929711
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``929871
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``930000
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``930343
oreduce`1`n`(Fraction(SparseUnivariatePolynomial(R)))->Union(S,"failed")`xComplexCategory&(S,R)``0
oreduce`1`n`(Fraction(UP))->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(Rep)->_$`dModMonic(R,Rep)``930430
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``930468
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``930508
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`930637
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``930721
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``930874
oreduce`1`x`(_$)->_$`dAlgebraicNumber``931005
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`931134
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``931266
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``931306
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``931346
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`931386
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((S,S)->S,A,S)->S`xCollection&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``931800
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``931970
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``932327
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``932663
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``932993
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``933163
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``933290
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``933423
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``933747
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`934063
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``934502
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`x`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`934704
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``935136
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``935828
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``935977
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``936092
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``936363
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``936659
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``936711
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``936947
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``937110
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`x`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``937248
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``937411
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``937572
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``937680
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``937771
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``937956
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``938137
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``938177
oreductum`1`n`(_$)->_$`dMonoidRing(R,M)`has(M,OrderedSet)`938217
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``938283
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``938392
oreductum`1`x`(_$)->_$`cFreeModuleCat(R,Basis)``938503
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``938570
oreductum`1`x`(_$)->_$`cMonogenicLinearOperator(R)``938737
oreductum`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``938855
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``938973
oref`1`n`(S)->_$`dReference(S)``939143
orefine`1`n`(_$)->_$`dPlot3D``939218
orefine`1`n`(_$)->_$`dPlot``939256
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``939323
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``939406
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``939810
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``939852
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``939892
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``939932
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``940111
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``940290
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``940594
oreflect`1`x`(ConstructorCall(DomainConstructor))->_$`dDomain``940898
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``941082
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``941928
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``942204
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``942356
oreify`1`x`(_$)->ConstructorCall(DomainConstructor)`dDomain``942528
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``942599
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`942847
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``942959
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``943097
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``943238
orelerror`2`x`(_$,_$)->Integer`dFloat``943370
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``943486
orem`2`x`(_$,_$)->_$`cEuclideanDomain``943543
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``943653
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`943723
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``944068
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`944140
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``944296
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``944432
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`944636
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`944777
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``944861
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``945156
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`945403
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``945513
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``945692
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`945875
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``945958
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`x`(_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`946060
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`946150
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`946449
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`946820
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``947171
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``947886
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``948182
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``948493
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``948626
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`948843
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``949209
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``949361
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``949671
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``949960
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``950139
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``950322
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``950508
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``950614
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``950720
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``950902
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``951084
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``951391
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``951955
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``952494
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``952606
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``953070
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`953293
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``953537
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`953731
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``953944
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``954224
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``954456
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``954540
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``954618
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``954806
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``954948
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``955090
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``955232
orepeatUntilLoop`2`x`(Switch,_$)->_$`dFortranCode``955363
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`955442
orepeating`1`x`(List(S))->_$`dStream(S)``955577
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``955661
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``955849
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``955973
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``956130
orepresents`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``956269
orepresents`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``956410
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``956575
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``956659
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``956768
oreseed`1`x`(Integer)->Void`pRandomNumberSource``956864
oresetAttributeButtons`0`x`()->Void`dAttributeButtons``956938
oresetBadValues`1`n`(_$)->_$`dPattern(R)``957026
oresetNew`0`x`()->Void`dSymbol``957186
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``957313
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``957437
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``957653
oreshape`2`x`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``957873
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``957914
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``958034
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``958279
oresolve`1`x`(Hostname)->Maybe(_$)`dIP4Address``958528
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orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->_$`dMagma(VarSet)``958597
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``958755
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``958819
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``958894
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``959062
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``959202
orestorePrecision`0`x`()->Void`pNAGLinkSupportPackage``959336
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``959385
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``959615
oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``959754
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`959928
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`960115
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``960240
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`960350
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oresultantnaif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``960831
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
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oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
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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
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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`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``960996
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oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
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oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
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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
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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`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``961040
oretractIfCan`1`x`(Expression(Float))->Union(_$,"failed")`cFortranFunctionCategory``961206
oretractIfCan`1`x`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`961335
oretractIfCan`1`x`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``961677
oretractIfCan`1`x`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`961806
oretractIfCan`1`x`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``962148
oretractIfCan`1`x`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``962490
oretractIfCan`1`x`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`962619
oretractIfCan`1`x`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``962961
oretractIfCan`1`x`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`963090
oretractIfCan`1`x`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``963432
oretractIfCan`1`x`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``963611
oretractIfCan`1`x`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``963740
oretractIfCan`1`x`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``963869
oretractIfCan`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``963998
oretractIfCan`1`x`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``964127
oretractIfCan`1`x`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``964256
oretractIfCan`1`x`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``964385
oretractIfCan`1`x`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`964514
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`964856
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``965004
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`965133
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`965281
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`965429
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`965771
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`965919
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`966067
oretractIfCan`1`x`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``966215
oretractIfCan`1`x`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``966489
oretractIfCan`1`x`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``966618
oretractIfCan`1`x`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``966747
oretractIfCan`1`x`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``966876
oretractIfCan`1`x`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``967005
oretractIfCan`1`x`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``967134
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``967263
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`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Kernel(S)`xExpressionSpace&(S)``0
oretract`1`n`(S)->Kernel(S)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`x`(Any)->S`pAnyFunctions1(S)``967413
oretract`1`x`(Expression(Float))->_$`cFortranFunctionCategory``967577
oretract`1`x`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`967701
oretract`1`x`(Expression(Integer))->_$`cFortranFunctionCategory``968030
oretract`1`x`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`968154
oretract`1`x`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``968483
oretract`1`x`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``968812
oretract`1`x`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`968936
oretract`1`x`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``969265
oretract`1`x`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`969389
oretract`1`x`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``969718
oretract`1`x`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``969884
oretract`1`x`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``970008
oretract`1`x`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``970132
oretract`1`x`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``970256
oretract`1`x`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``970380
oretract`1`x`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``970504
oretract`1`x`(Polynomial(Float))->_$`cFortranFunctionCategory``970628
oretract`1`x`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`970752
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`971081
oretract`1`x`(Polynomial(Integer))->_$`cFortranFunctionCategory``971269
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`971393
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`971581
oretract`1`x`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`971769
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`972098
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`972286
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`972474
oretract`1`x`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``972662
oretract`1`x`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``972923
oretract`1`x`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``973047
oretract`1`x`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``973171
oretract`1`x`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``973295
oretract`1`x`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``973419
oretract`1`x`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``973543
oretract`1`x`(_$)->Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat)`dNumericalPDEProblem``973667
oretract`1`x`(_$)->Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat)`dNumericalODEProblem``973708
oretract`1`x`(_$)->S`cRetractableTo(S)``973749
oretract`1`x`(_$)->Union(nia:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),mdnia:Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))`dNumericalIntegrationProblem``973884
oretract`1`x`(_$)->Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))`dNumericalOptimizationProblem``973925
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``973966
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``974072
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``974199
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``974294
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``974389
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``974485
oreturnType!`1`x`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``974583
oreturnType!`2`x`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``974707
oreturnType!`3`x`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``974831
oreturnTypeOf`2`x`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``974959
oreturns`0`x`()->_$`dFortranCode``975045
oreturns`1`x`(Expression(Complex(Float)))->_$`dFortranCode``975125
oreturns`1`x`(Expression(Float))->_$`dFortranCode``975228
oreturns`1`x`(Expression(Integer))->_$`dFortranCode``975331
oreturns`1`x`(Expression(MachineComplex))->_$`dFortranCode``975434
oreturns`1`x`(Expression(MachineFloat))->_$`dFortranCode``975537
oreturns`1`x`(Expression(MachineInteger))->_$`dFortranCode``975640
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(_$)->_$`dListMonoidOps(S,E,un)``975743
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``975853
oreverse!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`976026
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``976105
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``976299
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``976368
oreverse`1`x`(_$)->_$`cFiniteLinearAggregate(S)``976587
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``976672
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``976869
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`977064
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``977395
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`977820
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``978129
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``978731
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``979715
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``979771
orhs`1`x`(_$)->S`dEquation(S)``979842
orhs`1`x`(_$)->SpadAst`dCaseAst``979917
orhs`1`x`(_$)->SpadAst`dHasAst``979994
orhs`1`x`(_$)->SpadAst`dIsAst``980071
orhs`1`x`(_$)->SpadAst`dLetAst``980146
orhs`1`x`(_$)->TypeAst`dColonAst``980229
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`980307
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`980421
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`980535
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``980754
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`980919
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``981138
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``981303
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``981573
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``981843
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``981889
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``982103
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``982317
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``982477
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``982848
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``983219
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`983523
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`983720
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`983963
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`984071
orightFactorCandidate`2`x`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``984181
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``984235
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`984519
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`984757
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`984956
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``985192
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``985319
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`985419
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`985478
orightPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``985537
orightPower`2`x`(_$,PositiveInteger)->_$`cMonad``985724
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`985911
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`986100
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``986198
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`986439
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``986680
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`986839
orightRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``987054
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``987238
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``987412
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`987611
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``987801
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``987992
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``988280
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``988568
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``988778
orightTrim`2`x`(_$,Character)->_$`cStringAggregate``988873
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``989048
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`989244
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``989371
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`989496
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`989622
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``989681
oright`1`n`(_$)->_$`dMagma(VarSet)``989839
oright`1`n`(_$)->_$`dOutputForm``989992
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``990061
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``990137
oright`2`n`(_$,Integer)->_$`dOutputForm``990185
orischDE`6`n`(Integer,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(ans:F,right:F,sol?:Boolean)`pElementaryRischDE(R,F)``990272
orischDEsys`7`n`(Integer,F,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Union(List(F),"failed")`pElementaryRischDESystem(R,F)``990637
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``990947
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``991136
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``991779
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``992018
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``992339
ork4qc`14`x`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``992833
ork4qc`7`x`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``993318
oroman`1`x`(Integer)->_$`dRomanNumeral``993782
oroman`1`x`(Symbol)->_$`dRomanNumeral``993843
oromberg`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``993911
orombergo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``994599
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``995281
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``995318
orootDirectory`0`n`()->String`dSystem``995415
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`995522
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``995589
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``995794
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``996044
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``996168
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``996236
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``996360
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``996474
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``996594
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``996708
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``996806
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``996919
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``997047
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`997218
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`997376
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``997611
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``997826
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`997949
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``998181
oroot`1`n`(_$)->_$`dOutputForm``998411
oroot`2`n`(_$,_$)->_$`dOutputForm``998486
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``998567
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``998695
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``998935
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``999119
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``999362
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``999610
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``999858
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1000052
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1000289
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1000645
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1000743
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1000841
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1000939
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1001113
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1001231
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1001475
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1001745
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1001887
oroutines`0`x`()->_$`dRoutinesTable``1001951
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1002021
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1002186
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1002293
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1002479
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1002612
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1002693
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1002774
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1002855
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1002936
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1003227
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1003350
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``1003466
orquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``1003549
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1003742
orquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1003857
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1003939
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1004021
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1004116
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1004207
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1004300
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1004490
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1007067
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1007208
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1007575
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1007639
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1007715
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1007777
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1008908
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1009389
os01eaf`2`x`(Complex(DoubleFloat),Integer)->Result`pNagSpecialFunctionsPackage``1009537
os13aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1009694
os13acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1009890
os13adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1010006
os14aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1010120
os14abf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1010278
os14baf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1010429
os15adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1010612
os15aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1010784
os17acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1010938
os17adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1011129
os17aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1011320
os17aff`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1011511
os17agf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1011702
os17ahf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1011863
os17ajf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1012023
os17akf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1012198
os17dcf`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1012374
os17def`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1012701
os17dgf`4`x`(String,Complex(DoubleFloat),String,Integer)->Result`pNagSpecialFunctionsPackage``1013028
os17dhf`4`x`(String,Complex(DoubleFloat),String,Integer)->Result`pNagSpecialFunctionsPackage``1013270
os17dlf`6`x`(Integer,DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1013512
os18acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1013928
os18adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014128
os18aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014328
os18aff`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014528
os18dcf`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1014727
os18def`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1015063
os19aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015399
os19abf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015550
os19acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015701
os19adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015855
os20acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016006
os20adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016166
os21baf`3`x`(DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016326
os21bbf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016549
os21bcf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016724
os21bdf`5`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016900
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1017077
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1017110
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1017245
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1017396
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1017551
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`n`()->_$`dInt16``0
osample`0`n`()->_$`dInt32``0
osample`0`n`()->_$`dInt64``0
osample`0`n`()->_$`dInt8``0
osample`0`n`()->_$`dSystemInteger(N)``1017750
osample`0`n`()->_$`dSystemNonNegativeInteger(N)``1017806
osample`0`n`()->_$`dUInt16``0
osample`0`n`()->_$`dUInt32``0
osample`0`n`()->_$`dUInt64``0
osample`0`n`()->_$`dUInt8``0
osample`0`x`()->_$`cAbelianMonoid``1017862
osample`0`x`()->_$`cAggregate``1017909
osample`0`x`()->_$`cMonoid``1017956
osample`0`x`()->_$`dByte``1018003
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1018059
osample`0`x`()->_$`dSymbol``1018112
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1018158
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1018268
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1018399
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1018624
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1018769
osave`0`x`()->_$`dFortranCode``1018932
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1018999
osayLength`1`x`(String)->Integer`pDisplayPackage``1019090
osay`1`x`(List(String))->Void`pDisplayPackage``1019172
osay`1`x`(String)->Void`pDisplayPackage``1019237
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1019293
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1019416
oscalarTypeOf`1`x`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1019541
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1019613
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1019714
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1019813
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1019911
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1020024
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1020335
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1021013
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1021246
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1021625
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1021911
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1022191
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1022424
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1022703
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1022982
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1023143
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1023282
oscopes`1`x`(_$)->List(Scope)`dEnvironment``1023542
oscreenResolution3D`0`n`()->Integer`dPlot3D``1023619
oscreenResolution`0`n`()->Integer`dPlot``1023700
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1023763
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1023836
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1023910
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1024229
oscripted?`1`x`(_$)->Boolean`dSymbol``1024416
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1024498
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1024560
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pExpertSystemContinuityPackage``1024690
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pExpertSystemToolsPackage``1024800
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pd01AgentsPackage``1024889
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1024986
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1025045
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1025265
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1025363
osec`1`n`(F)->F`pElementaryFunction(R,F)``1025450
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)``1025511
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1025578
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1025645
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1025713
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1025783
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1025836
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1025938
osech`1`n`(F)->F`pElementaryFunction(R,F)``1026027
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)``1026100
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1026183
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1026266
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1026346
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1026428
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1026493
osecond`1`x`(_$)->T`dPair(S,T)``1026613
oseed`0`x`()->Integer`pRandomNumberSource``1026676
osegment`1`x`(S)->_$`dUniversalSegment(S)``1026729
osegment`1`x`(_$)->S`dRangeBinding(S,T)``1026811
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``0
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1026998
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`1027080
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1027239
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1027367
oselectFiniteRoutines`1`x`(_$)->_$`dRoutinesTable``1027637
oselectIntegrationRoutines`1`x`(_$)->_$`dRoutinesTable``1027772
oselectMultiDimensionalRoutines`1`x`(_$)->_$`dRoutinesTable``1027887
oselectNonFiniteRoutines`1`x`(_$)->_$`dRoutinesTable``1028043
oselectODEIVPRoutines`1`x`(_$)->_$`dRoutinesTable``1028186
oselectOptimizationRoutines`1`x`(_$)->_$`dRoutinesTable``1028306
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1028422
oselectPDERoutines`1`x`(_$)->_$`dRoutinesTable``1028690
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1028807
oselectSumOfSquaresRoutines`1`x`(_$)->_$`dRoutinesTable``1029031
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``1029169
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`1029265
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1029500
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1029680
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1029744
oselectfirst`1`n`(_$)->A`dProduct(A,B)``1029868
oselectsecond`1`n`(_$)->B`dProduct(A,B)``1029911
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1029955
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1030211
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1030420
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1030700
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1030950
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1031119
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1031330
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1031509
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1031704
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1031977
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1032306
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1032409
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1032534
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1032686
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1032852
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1033034
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1033074
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1033240
osequence`1`n`(_$)->SpadAst`dInAst``1033373
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1033459
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1033631
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1033970
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1034205
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1034303
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1034682
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1034791
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1034898
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1035023
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1035360
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1035532
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1035724
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1035883
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1035979
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1036409
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1036608
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1036789
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1036881
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1037080
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1037279
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1037340
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1037422
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1037525
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1037765
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1038075
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1038256
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1038415
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1038493
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1038713
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1038882
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1039094
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1039213
osetAttributeButtonStep`1`x`(Float)->Float`dAttributeButtons``1039326
osetButtonValue`2`x`(String,Float)->Float`dAttributeButtons``1039533
osetButtonValue`3`x`(String,String,Float)->Float`dAttributeButtons``1039845
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1040200
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1040323
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1040495
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1040577
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1040739
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1040910
osetEpilogue!`2`x`(_$,List(String))->List(String)`dTexFormat``1040987
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1041093
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1041392
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1041573
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1041724
osetLabelValue`1`x`(SingleInteger)->SingleInteger`dFortranCode``1041903
osetLegalFortranSourceExtensions`1`x`(List(String))->List(String)`pFortranPackage``1041987
osetLength!`2`x`(_$,NonNegativeInteger)->NonNegativeInteger`dByteBuffer``1042052
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1042170
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1042259
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1042345
osetMinPoints`1`n`(Integer)->Integer`dPlot``1042434
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1042520
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1042685
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1043014
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1043384
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1043423
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1043500
osetPrologue!`2`x`(_$,List(String))->List(String)`dTexFormat``1043605
osetProperties`2`x`(_$,AssociationList(String,None))->_$`dBasicOperator``1043711
osetProperty`3`x`(_$,Identifier,None)->_$`dBasicOperator``1043875
osetProperty`3`x`(_$,String,None)->_$`dBasicOperator``1044066
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1044257
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1044403
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1044479
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1044573
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1044649
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1044805
osetTex!`2`x`(_$,List(String))->List(String)`dTexFormat``1045151
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1045247
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1045370
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1045538
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1045692
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1045827
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1046003
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1046082
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1046192
osetelt!`5`x`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1046324
osetelt`2`n`(_$,S)->S`dReference(S)``1046462
osetelt`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt`3`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1046542
osetelt`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1046684
osetelt`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1046823
osetelt`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1046949
osetelt`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1047088
osetelt`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1047224
osetelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`1047352
osetelt`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1047541
osetelt`3`x`(_$,Symbol,Any)->Any`dLibrary``1047701
osetelt`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1047828
osetelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(S,List(Integer),List(Integer),S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1048208
osetelt`4`x`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``1048380
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1048682
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1048769
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1048861
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1048967
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1049044
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1049176
osetref`2`n`(_$,S)->S`dReference(S)``1049316
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1049370
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1049454
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1049574
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``1049652
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1049856
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1049930
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1050007
oshade`1`n`(Point(R))->R`pPointPackage(R)``1050134
oshade`1`x`(_$)->Integer`dPalette``1050463
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1050545
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1050588
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1050635
oshape`1`n`(_$)->Partition`dYoungDiagram``1050903
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1050965
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1051088
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1051150
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1051233
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1051347
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1051446
oshift`2`x`(_$,Integer)->_$`dFloat``1051544
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1051618
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1051676
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1051736
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1051835
oshowArrayValues`1`x`(Boolean)->Boolean`dResult``1051929
oshowAttributes`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:--Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")),"failed")`dIntegrationFunctionsTable``1052063
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1052111
oshowFortranOutputStack`0`x`()->Stack(String)`pFortranOutputStackPackage``1052363
oshowIntensityFunctions`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float),"failed")`dODEIntensityFunctionsTable``1052435
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1052541
oshowScalarValues`1`x`(Boolean)->Boolean`dResult``1052783
oshowSummary`1`x`(_$)->Void`dDomain``1052919
oshowTheFTable`0`x`()->_$`dIntegrationFunctionsTable``1053008
oshowTheIFTable`0`x`()->_$`dODEIntensityFunctionsTable``1053078
oshowTheRoutinesTable`0`x`()->_$`dRoutinesTable``1053159
oshowTheSymbolTable`0`x`()->_$`dTheSymbolTable``1053239
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1053308
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1053555
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1053675
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1053884
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1054032
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1054078
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1054124
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1054172
osign`1`n`(S)->Integer`xOrderedAbelianGroup&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1054208
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1054289
osign`1`x`(_$)->Integer`cOrderedAbelianGroup``1054369
osign`1`x`(_$)->Integer`dPermutation(S)``1054491
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1054587
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1054679
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1054805
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1054936
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1055092
osignatureAst`2`x`(Identifier,Signature)->_$`dSignatureAst``1055312
osignature`1`n`(_$)->Signature`dFunctionDescriptor``1055395
osignature`1`n`(_$)->Signature`dOperatorSignature``1055479
osignature`1`x`(_$)->Signature`dDefinitionAst``1055536
osignature`1`x`(_$)->Signature`dSignatureAst``1055725
osignature`2`x`(List(Syntax),Syntax)->_$`dSignature``1055799
osimpleBounds?`1`x`(List(Expression(DoubleFloat)))->Boolean`pe04AgentsPackage``1055933
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1056032
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1056149
osimplifyPower`2`x`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`1056360
osimplify`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`dPropositionalFormulaFunctions1(T)``1056419
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`1056540
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1056844
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1056908
osimpson`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1057385
osimpsono`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1058063
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1058745
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1058843
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1058928
osin`1`n`(E)->_$`dFourierComponent(E)``1059015
osin`1`n`(F)->F`pElementaryFunction(R,F)``1059081
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1059140
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1059205
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1059270
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1059336
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1059404
osin`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1059455
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1059522
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1059624
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1060067
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1060616
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1060797
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1061043
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1061110
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1061180
osingularitiesOf`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Stream(DoubleFloat)`pd01AgentsPackage``1061261
osingularitiesOf`3`x`(Expression(DoubleFloat),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1061378
osingularitiesOf`3`x`(Vector(Expression(DoubleFloat)),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1061601
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1061824
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1061926
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1062015
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)``1062086
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1062167
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1062248
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1062326
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1062406
osinh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1062469
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1062538
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``1062653
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1062727
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1062879
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1063059
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1063239
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1063419
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1063522
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xMonogenicAlgebra&(S,R,UP)``0
osize`0`x`()->Integer`pRandomNumberSource``1063618
osize`0`x`()->NonNegativeInteger`cFinite``1063682
osize`1`n`(_$)->NonNegativeInteger`cFreeMonoidCategory(S)``1063746
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1063813
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1063880
osize`1`x`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``1063952
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1064107
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1064149
oslash`2`n`(_$,_$)->_$`dOutputForm``1064337
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1064432
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1064626
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1064703
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1064792
osocf2socdf`1`x`(Segment(OrderedCompletion(Float)))->Segment(OrderedCompletion(DoubleFloat))`pExpertSystemToolsPackage``1064838
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1064992
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1065030
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1065069
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1065338
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1065488
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)``1065633
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1066044
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1066280
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``1066684
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1067088
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1067333
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1067621
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xComplexCategory&(S,R)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialFactorizationExplicit&(S)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xUnivariatePolynomialCategory&(S,R)``0
osolveLinearPolynomialEquation`2`x`(List(SparseUnivariatePolynomial(_$)),SparseUnivariatePolynomial(_$))->Union(List(SparseUnivariatePolynomial(_$)),"failed")`cPolynomialFactorizationExplicit``1067866
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`1068111
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`1068297
osolveLinearlyOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``1068461
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1068637
osolve`10`x`(Float,Float,Float,Float,NonNegativeInteger,NonNegativeInteger,List(Expression(Float)),List(List(Expression(Float))),String,DoubleFloat)->Result`pAnnaPartialDifferentialEquationPackage``1068890
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1070073
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``1070253
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1070290
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1070500
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1070630
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1070829
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1070966
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1071119
osolve`1`x`(NumericalODEProblem)->Result`pAnnaOrdinaryDifferentialEquationPackage``1071259
osolve`1`x`(NumericalPDEProblem)->Result`pAnnaPartialDifferentialEquationPackage``1072439
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1073051
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1073226
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1073347
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1073467
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1073649
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1073858
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1073969
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1074147
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1074366
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1074502
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1074641
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1074843
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1074994
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1075213
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1075351
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1075557
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1075702
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1075847
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1076053
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1076259
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1076376
osolve`2`x`(NumericalODEProblem,RoutinesTable)->Result`pAnnaOrdinaryDifferentialEquationPackage``1076521
osolve`2`x`(NumericalPDEProblem,RoutinesTable)->Result`pAnnaPartialDifferentialEquationPackage``1077755
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)``1078383
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1078795
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1079579
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1080316
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1080879
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1081279
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1081679
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1081993
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1082228
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1082501
osolve`4`x`(Vector(Expression(Float)),Float,Float,List(Float))->Result`pAnnaOrdinaryDifferentialEquationPackage``1082774
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1083987
osolve`5`x`(Vector(Expression(Float)),Float,Float,List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1084214
osolve`6`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1085425
osolve`6`x`(Vector(Expression(Float)),Float,Float,List(Float),List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1086788
osolve`7`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1088122
osolve`8`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),List(Float),Float,Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1089618
osolve`9`x`(Float,Float,Float,Float,NonNegativeInteger,NonNegativeInteger,List(Expression(Float)),List(List(Expression(Float))),String)->Result`pAnnaPartialDifferentialEquationPackage``1091186
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1092356
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1092536
osort!`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,ATTRIBUTE(shallowlyMutable)),has(S,OrderedSet))`1092598
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1092676
osortConstraints`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat)))`pe04AgentsPackage``1092757
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1092966
osort`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1093250
osort`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)``1093378
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1093478
osorted?`1`n`(A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1093705
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,_$)->Boolean`cFiniteLinearAggregate(S)``1093788
osource`1`x`(_$)->List(Syntax)`dSignature``1093877
osource`1`x`(_$)->List(TypeAst)`dMappingAst``1093945
ospace`0`x`()->_$`dCharacter``1094013
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1094063
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1094256
osparsityIF`1`x`(Matrix(Expression(DoubleFloat)))->Float`pd02AgentsPackage``1094367
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1094440
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1094504
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1094766
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1095031
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1095154
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1095315
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1095476
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``1095624
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1095776
osplitLinear`1`x`(Expression(DoubleFloat))->Expression(DoubleFloat)`pe04AgentsPackage``1095978
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1096067
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1096364
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1096678
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1097010
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1097186
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1097362
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1097453
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1097715
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1098526
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1098685
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1098843
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1098930
osqfrFactor`2`x`(R,Integer)->_$`dFactored(R)``1099023
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1099175
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1099254
osqrt`1`x`(Integer)->_$`cRealClosedField``1099313
osqrt`1`x`(_$)->_$`cRadicalCategory``1099372
osqrt`1`x`(_$)->_$`cRealClosedField``1099431
osqrt`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1099490
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1099559
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1099681
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1099751
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1099926
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1100101
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1100218
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1100639
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1100810
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1100946
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1101059
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``1101579
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`1101694
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1101748
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1101867
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1101953
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1102059
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1102237
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``1102427
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1102680
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1102854
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1103197
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1103291
osquareMatrix`1`x`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1103476
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1103595
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1103768
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1103902
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1104036
ostack`1`x`(List(S))->_$`dStack(S)``1104169
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1104314
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1104988
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1105428
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1105562
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1105688
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1105814
ostartTableGcd!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1105940
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1106069
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1106142
ostep`1`x`(_$)->SpadAst`dStepAst``1106284
ostiffnessAndStabilityFactor`1`x`(Matrix(Expression(DoubleFloat)))->Record(stiffnessFactor:Float,stabilityFactor:Float)`pd02AgentsPackage``1106413
ostiffnessAndStabilityOfODEIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Record(stiffnessFactor:Float,stabilityFactor:Float)`pd02AgentsPackage``1106940
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1107523
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1107621
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1107721
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1107995
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1108290
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1108382
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1108474
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1108566
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`x`()->_$`dFortranCode``1108661
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetsqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1108728
ostring`1`n`(_$)->_$`dOutputForm``1108810
ostring`1`x`(DoubleFloat)->_$`dString``1108871
ostring`1`x`(Integer)->_$`dString``1108953
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1109035
ostring`1`x`(_$)->String`dSymbol``1109158
ostripCommentsAndBlanks`1`x`(String)->String`pTemplateUtilities``1109261
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1109403
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1109488
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1109774
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1109936
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1110075
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1110323
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``1110571
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1110862
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1111119
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1111559
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``1111999
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1112047
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1112121
ostyle`1`x`(String)->_$`dDrawOption``1112274
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1112450
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1112652
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1112766
osubHeight`1`n`(_$)->Integer`dOutputForm``1112880
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1112964
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1113161
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1113355
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1113584
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1113714
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1113844
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1113987
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1114130
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1114281
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1114441
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1114653
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1114911
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1115048
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1115421
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1115552
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1115711
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1116034
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1116132
osub`2`n`(_$,_$)->_$`dOutputForm``1116230
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1116306
osubresultantSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``1116382
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1116497
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1116683
osubscriptedVariables`1`x`(Expression(DoubleFloat))->Expression(DoubleFloat)`pd03AgentsPackage``1116775
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1116829
osubspace`0`n`()->_$`dSubSpace(n,R)``1117027
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1117066
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1117204
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1117388
osubst`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`x`(_$,Equation(_$))->_$`cExpressionSpace``1117598
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1117691
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1117825
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``1117948
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1118084
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1118175
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1118363
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1118487
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1118607
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1118753
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1118859
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1119015
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1119086
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1119206
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1119332
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1119463
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1119803
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1119997
osumOfSquares`1`x`(Expression(DoubleFloat))->Union(Expression(DoubleFloat),"failed")`pe04AgentsPackage``1120253
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1120371
osum`1`n`(_$)->_$`dOutputForm``1120607
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1120690
osum`2`n`(_$,_$)->_$`dOutputForm``1120870
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1120989
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1121094
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1121194
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1121269
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1121449
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1121524
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1121704
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1121781
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1121938
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1122042
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1122196
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1122300
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1122454
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1122670
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1122886
osup`1`x`(_$)->R`cIntervalCategory(R)``1123086
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1123149
osuperHeight`1`n`(_$)->Integer`dOutputForm``1123255
osuper`2`n`(_$,_$)->_$`dOutputForm``1123341
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1123421
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1123517
osupport`1`x`(_$)->Set(S)`cPermutationCategory(S)``1123640
osupport`1`x`(_$)->Set(S)`dPermutationGroup(S)``1123729
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1123803
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`1123932
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1124059
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1124195
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1124325
oswap`1`x`(_$)->_$`dEquation(S)``1124391
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1124475
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1124586
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1124733
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1124913
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1125036
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1125092
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1125174
osymbolTableOf`2`x`(Symbol,_$)->SymbolTable`dTheSymbolTable``1125290
osymbolTable`1`x`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1125362
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1125445
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1125568
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1125764
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1125960
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1126392
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1126627
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1126822
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1127007
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1127229
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1127434
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1127676
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1127783
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1127885
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1128449
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1128980
osystemSizeIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``1129198
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1129381
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1129471
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1129560
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1129719
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1129752
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1129824
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1130030
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1130336
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1130643
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1130716
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1130833
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``1130908
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1131036
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1131172
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1131352
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1131450
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1131554
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1131660
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1131747
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1131855
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1131934
otan`1`n`(F)->F`pElementaryFunction(R,F)``1132076
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1132138
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1132206
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1132274
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1132343
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1132414
otan`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1132468
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1132535
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1132637
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1132746
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1132835
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1132909
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1132993
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1133077
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1133158
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1133241
otanh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1133307
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``1133376
otarget`1`x`(_$)->Syntax`dSignature``1133589
otarget`1`x`(_$)->TypeAst`dCoerceAst``1133659
otarget`1`x`(_$)->TypeAst`dMappingAst``1133727
otarget`1`x`(_$)->TypeAst`dPretendAst``1133788
otarget`1`x`(_$)->TypeAst`dRestrictAst``1133856
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1133924
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1134080
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1134177
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1134294
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1134475
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1134543
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1134684
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1134766
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1134876
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1135116
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1135285
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1135449
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1135527
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1135690
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1136035
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1136134
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1136488
oterms`1`n`(_$)->List(Record(coef:R,monom:M))`dMonoidRing(R,M)``1136770
oterms`1`x`(_$)->List(Pair(S,A))`cIndexedDirectProductCategory(A,S)``1136930
oterms`1`x`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``1137098
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1137179
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1137361
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1137475
otest`1`x`(_$)->_$`dBoolean``1137676
otex`1`x`(_$)->List(String)`dTexFormat``1137772
othenBranch`1`x`(_$)->SpadAst`dIfAst``1137842
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1137904
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1138180
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1138303
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1138500
otitle`1`x`(String)->_$`dDrawOption``1138615
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1138757
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1138959
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1139113
otoScale`1`x`(Boolean)->_$`dDrawOption``1139271
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1139501
otop!`1`x`(_$)->S`cDequeueAggregate(S)``1139707
otopFortranOutputStack`0`x`()->String`pFortranOutputStackPackage``1139784
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1139874
otop`1`x`(_$)->S`cStackAggregate(S)``1140062
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1140240
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1140545
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1140585
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1140625
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1140670
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1140714
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1140861
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1141008
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1141159
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1141316
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`x`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1141456
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`x`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1141560
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1141694
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1141798
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1142059
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1142239
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1142470
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1142506
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1142611
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1142767
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1142922
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1143077
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1143173
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``1143285
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1143429
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1143539
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1143676
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1143773
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1144062
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1144110
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1144238
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1144362
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1144400
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1144506
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1144726
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1145190
otranspose`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1145260
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1145333
otranspose`1`x`(_$)->_$`dSquareMatrix(ndim,R)``1145574
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1145647
otrapezoidal`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1145923
otrapezoidalo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1146619
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1147309
otree`1`x`(List(S))->_$`dTree(S)``1147646
otree`1`x`(S)->_$`dTree(S)``1147721
otree`2`x`(S,List(_$))->_$`dTree(S)``1147799
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1147888
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1147973
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1148058
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1149131
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1149328
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1149681
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1150025
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``1150191
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1150542
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1150671
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,Character)->_$`cStringAggregate``1150800
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1150976
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1151163
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``1151267
otrue`0`x`()->_$`cPropositionalLogic``1151344
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1151386
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1151505
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1151591
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1151680
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1151810
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1151967
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1152113
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1152307
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1152567
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1152817
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1153169
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1153518
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1153656
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1153800
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1154017
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1154229
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1154307
otubeRadius`1`x`(Float)->_$`dDrawOption``1154398
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1154544
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1154756
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1154843
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1155153
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1155249
otypeForm`1`n`(_$)->InternalTypeForm`dElaboration``1155566
otypeList`2`x`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1155643
otypeLists`1`x`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1155738
otype`1`x`(_$)->Syntax`dElaboratedExpression``1155825
ounary?`1`x`(_$)->Boolean`dBasicOperator``1155914
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1155968
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1156019
ounderscore`0`x`()->_$`dCharacter``1156233
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1156293
ouniform01`0`n`()->Float`pRandomFloatDistributions``1156355
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1156395
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1156434
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1156473
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)``1156514
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1156598
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1156666
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1156863
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1157060
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`x`(_$)->Boolean`cIntegralDomain``1157187
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`x`(_$)->_$`cIntegralDomain``1157279
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xIntegralDomain&(S)``0
ounitNormal`1`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cIntegralDomain``1157350
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1157658
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1157859
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1157901
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`1158046
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1158140
ounit`1`x`(List(Float))->_$`dDrawOption``1158252
ounit`1`x`(_$)->R`dFactored(R)``1158403
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1158470
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1158566
ounits`1`n`(_$)->List(Float)`dGraphImage``1158684
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1158855
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1159056
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1159333
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1159581
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1159842
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1159956
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1160112
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1160268
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1160452
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1160711
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1160877
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1160977
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1161143
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1161249
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1161363
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1162159
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1162426
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1162528
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1162630
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1162796
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1162889
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1163093
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1163235
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1163283
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1163322
ounknownEndian`0`n`()->_$`dByteOrder``1163418
ounknown`0`n`()->_$`dKleeneTrivalentLogic``1163469
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1163501
ounparse`1`n`(_$)->String`dInputForm``1163660
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1163825
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1164269
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1164738
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1165283
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1165406
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``1165533
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1165661
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1165892
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1165927
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1165962
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1166089
oupperBound`1`x`(_$)->Maybe(SpadAst)`dStepAst``1166267
oupperCase!`1`x`(_$)->_$`cStringAggregate``1166441
oupperCase?`1`x`(_$)->Boolean`dCharacter``1166556
oupperCase`0`x`()->_$`dCharacterClass``1166667
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1166791
oupperCase`1`x`(_$)->_$`dCharacter``1166872
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1167041
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1167163
ouseNagFunctions`0`x`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1167353
ouseNagFunctions`1`x`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1167486
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1167693
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1167865
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1168085
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1168220
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1168296
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1168449
ovalue`1`x`(_$)->Integer`dOrdSetInts``1168520
ovalue`1`x`(_$)->SExpression`dProperty``1168588
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1168646
ovalue`1`x`(_$)->String`dQueryEquation``1168709
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1168807
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1169075
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1169334
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1169502
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1169712
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1169980
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1170239
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1170408
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``1170618
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1170686
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1170770
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``1170861
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1170952
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1171056
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1171147
ovarList`2`x`(Expression(DoubleFloat),NonNegativeInteger)->List(Symbol)`pe04AgentsPackage``1171228
ovarList`2`x`(Symbol,NonNegativeInteger)->List(Symbol)`pd03AgentsPackage``1171342
ovariable?`1`x`(_$)->Boolean`dElaboratedExpression``1171385
ovariable`0`n`()->Symbol`dVariable(sym)``1171454
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1171498
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1171571
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1171688
ovariable`1`x`(_$)->Symbol`dQueryEquation``1171787
ovariable`1`x`(_$)->Symbol`dRangeBinding(S,T)``1171890
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``0
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1172079
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``1172195
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1172294
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1172383
ovariables`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->List(Symbol)`pe04AgentsPackage``1172499
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1172586
ovariables`1`x`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1172664
ovariables`1`x`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``1172739
ovariables`1`x`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``1172837
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1172947
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1173084
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1173426
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1173541
ovconcat`1`n`(List(_$))->_$`dOutputForm``1173627
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1173704
ovector`1`x`(List(R))->_$`dVector(R)``1173784
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1173848
ovedf2vef`1`x`(Vector(Expression(DoubleFloat)))->Vector(Expression(Float))`pExpertSystemToolsPackage``1174050
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``1174162
overticalTab`0`x`()->_$`dCharacter``1174390
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1174441
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1174512
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1174632
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1174789
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1174907
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1175062
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1175156
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1175291
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1175499
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1175729
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1175808
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1175913
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1176010
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1176148
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1176271
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1176403
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1176569
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1176650
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1176762
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1177028
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1177397
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1177619
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1177876
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1178226
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1178623
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1179118
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1179613
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1179760
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1179911
ovoidMode`0`n`()->_$`dInternalTypeForm``1179953
ovoid`0`x`()->_$`dVoid``1180010
ovspace`1`n`(Integer)->_$`dOutputForm``1180055
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1180119
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1180288
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1180562
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1180694
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1180765
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1180832
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1180903
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1181140
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1181180
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1181304
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1181537
owhileLoop`2`x`(Switch,_$)->_$`dFortranCode``1181672
owhitePoint`0`x`()->_$`cRGBColorSpace(T)``1181734
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1181815
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1181879
owholePart`1`x`(_$)->R`dPartialFraction(R)``1182066
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1182151
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1182304
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1182457
owidth`0`n`()->Integer`dOutputForm``1182548
owidth`1`n`(_$)->Integer`dOutputForm``1182622
owidth`1`x`(_$)->R`cIntervalCategory(R)``1182694
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1182764
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1182920
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1183124
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1183338
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1183560
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1183724
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1183837
owriteByte!`2`x`(_$,Byte)->Maybe(Byte)`cOutputByteConduit``1184013
owriteBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xOutputByteConduit&(S)``0
owriteBytes!`2`x`(_$,ByteBuffer)->NonNegativeInteger`cOutputByteConduit``1184173
owriteInt8!`2`n`(S,Int8)->Maybe(Int8)`xOutputByteConduit&(S)``0
owriteInt8!`2`x`(_$,Int8)->Maybe(Int8)`cOutputByteConduit``1184302
owriteLine!`1`x`(_$)->String`dTextFile``1184470
owriteLine!`2`x`(_$,String)->String`dTextFile``1184647
owriteUInt8!`2`n`(S,UInt8)->Maybe(UInt8)`xOutputByteConduit&(S)``0
owriteUInt8!`2`x`(_$,UInt8)->Maybe(UInt8)`cOutputByteConduit``1184807
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1184985
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1185221
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1185460
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1185759
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1186032
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1186334
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1186610
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1186744
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)``1186884
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1187004
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1187258
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1187365
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1187472
oxor`2`x`(_$,_$)->_$`cBitAggregate``1187530
oxor`2`x`(_$,_$)->_$`dBoolean``1187642
oxor`2`x`(_$,_$)->_$`dSingleInteger``1187738
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1187848
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1188103
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1188221
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1188328
oyellow`0`x`()->_$`dColor``1188435
oyoungDiagram`1`n`(List(PositiveInteger))->_$`dYoungDiagram``1188514
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1188640
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1188761
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1188898
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1189169
ozag`2`n`(_$,_$)->_$`dOutputForm``1189276
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`x`(_$)->Boolean`cAbelianMonoid``1189374
ozero?`1`x`(_$)->Boolean`dArity``1189430
ozero?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1189504
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1189578
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1189677
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1189894
ozeroDimPrimary?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1190062
ozeroDimPrime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1190149
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1190234
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1190406
ozeroMatrix`3`x`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1190585
ozeroMatrix`3`x`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1190653
ozeroMatrix`3`x`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1190747
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1190865
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1191096
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1191271
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1191502
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1191708
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1191923
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1192259
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1192459
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1192811
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1193185
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1193326
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1193840
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1194349
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1194675
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1195045
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1195184
ozeroSquareMatrix`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1195323
ozeroVector`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1195375
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1195421
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1195485
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1195554
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1195893
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1196176
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1196456
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1196770
ozerosOf`3`x`(Expression(DoubleFloat),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1197084
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1197249
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1197287
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1197445
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1197485
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1197527
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1197815
o~=`2`x`(_$,_$)->Boolean`cBasicType``1197871
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(S)->S`xBooleanLogic&(S)``0
o~`1`x`(_$)->_$`cLogic``1197936
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1197999
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1198095
pAlgebraicFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`AF`1198179
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1198253
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`1198288
pAlgebraicIntegration`2`n`(R:IntegralDomain,F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1198377
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1198491
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1198606
pAnnaNumericalIntegrationPackage`0`x`()->etc``INTPACK`0
pAnnaNumericalOptimizationPackage`0`x`()->etc``OPTPACK`0
pAnnaOrdinaryDifferentialEquationPackage`0`x`()->etc``ODEPACK`0
pAnnaPartialDifferentialEquationPackage`0`x`()->etc``PDEPACK`0
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1198817
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1199027
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1199114
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1199242
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1199366
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1199484
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1199553
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`1199690
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1199806
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1199920
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1200525
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1200561
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1200668
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1200732
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1200829
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1200934
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1201380
pCombinatorialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`COMBF`1201469
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1201534
pCommonOperators`0`n`()->etc``COMMONOP`1201698
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1201904
pComplexFactorization`2`x`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1202020
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1202252
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1202349
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1202475
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1202552
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1202624
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`0
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1203394
pConstantLODE`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1203528
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1203616
pCycleIndicators`0`x`()->etc``CYCLES`1203874
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1203911
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1203979
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1204015
pDegreeReductionPackage`2`n`(Ring,R2:IntegralDomain)->etc`(R1,R2)`DEGRED`1204156
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1204192
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1204925
pDiscreteLogarithmPackage`1`n`(M:Join(Monoid,etc))->etc`(M)`DLP`1205243
pDisplayPackage`0`x`()->etc``DISPLAY`1205363
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1205468
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1205761
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1205862
pDrawComplex`0`x`()->etc``DRAWCX`0
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1205965
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1206383
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1206419
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1206455
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1206809
pElementaryFunctionLODESolver`3`x`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1206939
pElementaryFunctionODESolver`2`x`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1207119
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1207291
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1207406
pElementaryFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1207699
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1207761
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1207924
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1208130
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1208338
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1208415
pErrorFunctions`0`x`()->etc``ERROR`1208491
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1210472
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1211347
pExpertSystemContinuityPackage1`2`x`(DoubleFloat,DoubleFloat)->etc`(A,B)`ESCONT1`1211520
pExpertSystemContinuityPackage`0`x`()->etc``ESCONT`1211609
pExpertSystemToolsPackage1`1`x`(OrderedRing)->etc`(R1)`ESTOOLS1`1211755
pExpertSystemToolsPackage2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`ESTOOLS2`1211913
pExpertSystemToolsPackage`0`x`()->etc``ESTOOLS`1212071
pExpressionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`EXPR2`1212200
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1212296
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1212477
pExpressionSpaceODESolver`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1212764
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1212814
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1212938
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1213028
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1213240
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1213545
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1213658
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1213932
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1213989
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`1214151
pFiniteDivisorFunctions2`8`x`(R1:Field,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:Field,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FDIV2`1214296
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1214423
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1214592
pFiniteFieldPolynomialPackage2`2`x`(F:Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1214826
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1215095
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1215262
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1215363
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1215675
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1215764
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1216068
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1216427
pFortranCodePackage1`0`x`()->etc``FCPAK1`1216747
pFortranOutputStackPackage`0`x`()->etc``FOP`1217371
pFortranPackage`0`x`()->etc``FORT`1217418
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1217484
pFractionalIdealFunctions2`8`x`(R1:EuclideanDomain,F1:QuotientFieldCategory(R1),U1:UnivariatePolynomialCategory(F1),A1:Join(FramedAlgebra(F1,U1),etc),R2:EuclideanDomain,F2:QuotientFieldCategory(R2),U2:UnivariatePolynomialCategory(F2),A2:Join(FramedAlgebra(F2,U2),etc))->etc`(R1,F1,U1,A1,R2,F2,U2,A2)`FRIDEAL2`1217645
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1217828
pFunctionFieldCategoryFunctions2`8`x`(R1:UniqueFactorizationDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:UniqueFactorizationDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FFCAT2`1218095
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1218155
pFunctionSpaceAssertions`2`x`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1218558
pFunctionSpaceAttachPredicates`3`x`(R:SetCategory,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1218676
pFunctionSpaceComplexIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1218794
pFunctionSpaceFunctions2`4`x`(R:Ring,A:FunctionSpace(R),S:Ring,B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1218923
pFunctionSpaceIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1219078
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1219197
pFunctionSpaceReduce`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1219305
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1219510
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1219557
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`1219648
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1220073
pFunctionalSpecialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`FSPECF`1220261
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1220325
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1220433
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1220514
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1220720
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1220794
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1220864
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1221445
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1221664
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1221802
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1221878
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1222041
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1222190
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`1222562
pGraphicsDefaults`0`x`()->etc``GRDEF`1222599
pGrayCode`0`n`()->etc``GRAY`1222693
pGroebnerFactorizationPackage`4`x`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1222834
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1223889
pGroebnerPackage`4`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1224043
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1225098
pHallBasis`0`x`()->etc``HB`1225376
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1225936
pIdealDecompositionPackage`2`x`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`1226084
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1226394
pInfiniteProductCharacteristicZero`2`x`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1226468
pInfiniteProductFiniteField`4`x`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1226588
pInfiniteProductPrimeField`2`x`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1226695
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1226799
pInfinity`0`x`()->etc``INFINITY`1226861
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1226972
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1227105
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1227274
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`1227434
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`1227698
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1227968
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1228108
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1228279
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1228879
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1228944
pInnerTrigonometricManipulations`3`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1228985
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1229162
pIntegerBits`0`n`()->etc``INTBIT`1229205
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1229271
pIntegerLinearDependence`1`x`(Join(Ring,etc))->etc`(R)`ZLINDEP`1229643
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1229696
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1229777
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1229977
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1230092
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1230217
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1230399
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1230565
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1230682
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1230848
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1231155
pIntegrationTools`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1231357
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1231536
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`1231609
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1232159
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1232219
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1232777
pKernelFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`KERNEL2`1232921
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1232985
pLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1233137
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`1233197
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1234069
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1234207
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1235073
pLinearDependence`2`n`(S:IntegralDomain,R:Join(Ring,etc))->etc`(S,R)`LINDEP`1235304
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1235339
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1235510
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1235644
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1235900
pLinearSystemMatrixPackage`4`x`(F:Field,Row:Join(FiniteLinearAggregate(F),etc),Col:Join(FiniteLinearAggregate(F),etc),M:MatrixCategory(F,Row,Col))->etc`(F,Row,Col,M)`LSMP`1236185
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1236260
pLiouvillianFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1236354
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1236430
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1236578
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1236728
pMPolyCatFunctions2`7`x`(VarSet:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,S:Ring,PR:PolynomialCategory(R,E1,VarSet),PS:PolynomialCategory(S,E2,VarSet))->etc`(VarSet,E1,E2,R,S,PR,PS)`MPC2`1237145
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`1237271
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1237305
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1237690
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1238081
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1238317
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1238378
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1238606
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1238670
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1238806
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1238867
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1238903
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1238939
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1238975
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1239011
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1239047
pMatrixCategoryFunctions2`8`x`(R1:Ring,Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Ring,Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1239083
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1239236
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1239389
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1239496
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1239548
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1239708
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1239938
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1240115
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1240247
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1240294
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1240561
pMultiVariableCalculusFunctions`4`x`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:Join(FiniteLinearAggregate(S),etc))->etc`(S,F,FLAF,FLAS)`MCALCFN`1240642
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`1240928
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1240985
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1241148
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1241414
pNAGLinkSupportPackage`0`x`()->etc``NAGSP`1241807
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1241867
pNagEigenPackage`0`x`()->etc``NAGF02`1242144
pNagFittingPackage`0`x`()->etc``NAGE02`1242451
pNagIntegrationPackage`0`x`()->etc``NAGD01`1243909
pNagInterpolationPackage`0`x`()->etc``NAGE01`1244140
pNagLapack`0`x`()->etc``NAGF07`1244674
pNagLinearEquationSolvingPackage`0`x`()->etc``NAGF04`1244878
pNagMatrixOperationsPackage`0`x`()->etc``NAGF01`1245286
pNagOptimisationPackage`0`x`()->etc``NAGE04`1245456
pNagOrdinaryDifferentialEquationsPackage`0`x`()->etc``NAGD02`1246035
pNagPartialDifferentialEquationsPackage`0`x`()->etc``NAGD03`1246606
pNagPolynomialRootsPackage`0`x`()->etc``NAGC02`1246737
pNagRootFindingPackage`0`x`()->etc``NAGC05`1246899
pNagSeriesSummationPackage`0`x`()->etc``NAGC06`1247166
pNagSpecialFunctionsPackage`0`x`()->etc``NAGS`1247407
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1247560
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1247885
pNonLinearFirstOrderODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1248196
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1248349
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1248582
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1248755
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1248871
pNormalizationPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`NORMPK`1248905
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1249666
pNumberFormats`0`n`()->etc``NUMFMT`1249913
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1250065
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1250130
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1250401
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1250539
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1250773
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1250985
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1251085
pNumericalQuadrature`0`x`()->etc``NUMQUAD`1255700
pODEIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1259115
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1259281
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1259346
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1259526
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1259684
pOpenMathPackage`0`x`()->etc``OMPKG`1259788
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1259894
pOperationsQuery`0`x`()->etc``OPQUERY`1260262
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1260343
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1260445
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1260574
pOutputPackage`0`x`()->etc``OUT`1260650
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1260706
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1261249
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1261615
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1261972
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1262040
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1262080
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1262114
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1262148
pParser`0`x`()->etc``PARSER`1262182
pPartialFractionPackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1262302
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1262580
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1262744
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1262771
pPatternMatchAssertions`0`x`()->etc``PMASS`1262802
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1262920
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1262996
pPatternMatchIntegration`2`n`(R:Join(RetractableTo(Integer),etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1263065
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(SetCategory,etc))->etc`(S,E)`PMKERNEL`1263260
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1263328
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`1263394
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1263466
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1263543
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1263613
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1263660
pPatternMatchTools`3`n`(S:SetCategory,R:Ring,P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1263728
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1263788
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1263859
pPermutationGroupExamples`0`x`()->etc``PGE`1263955
pPiCoercions`1`x`(IntegralDomain)->etc`(R)`PICOERCE`1264353
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1264544
pPlotTools`0`n`()->etc``PLOTTOOL`1264676
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1264719
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1264753
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1264787
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1264888
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`1265018
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1265119
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1265200
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1265913
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`1266033
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`1266330
pPolynomialComposition`2`x`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1266453
pPolynomialDecomposition`2`x`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1266487
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1266521
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1266814
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1267029
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`1267172
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1267225
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1267278
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`1267372
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1267447
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1267736
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1267975
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1268398
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1268630
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1268875
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1269052
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1269204
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1269302
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1269532
pPrintPackage`0`x`()->etc``PRINT`1269597
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1269661
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1269777
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1270819
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`1270988
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1271081
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`1271117
pQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`QCMPACK`1272371
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1273110
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1273307
pRadicalEigenPackage`0`x`()->etc``REP`1273415
pRadicalSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1273696
pRadixUtilities`0`x`()->etc``RADUTIL`1273868
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1273934
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1273983
pRandomNumberSource`0`x`()->etc``RANDSRC`1274033
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1274224
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1274350
pRationalFunctionFactorizer`1`x`(EuclideanDomain)->etc`(R)`RFFACTOR`1274471
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1274757
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1274839
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1274892
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1274964
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1275008
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1275105
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1275186
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1275248
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1275398
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1275512
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1275576
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1276012
pRealSolvePackage`0`n`()->etc``REALSOLV`1276113
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1276230
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1276535
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Ring,Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Ring,Row2:DirectProductCategory(n,R2),Col2:DirectProductCategory(m,R2),M2:RectangularMatrixCategory(m,n,R2,Row2,Col2))->etc`(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)`RMCAT2`1276839
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`1277013
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`1277114
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1277263
pRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSDCMPK`1277413
pRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSETGCD`1278875
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1279648
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1279702
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1279756
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1280265
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1280834
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1280932
pSAERationalFunctionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1281083
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1281217
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1281319
pSimpleAlgebraicExtensionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1281396
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1281542
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1281649
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1281755
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1281803
pSpadParser`0`x`()->etc``SPADPRSR`1282365
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1282486
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1282811
pSquareFreeQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFQCMPK`1282926
pSquareFreeRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SRDCMPK`1283769
pSquareFreeRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFRGCD`1285162
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1286047
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1286346
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1286407
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1286469
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1286533
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1286712
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1286857
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1287062
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1287225
pSturmHabichtPackage`2`x`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1287412
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1287574
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1287844
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1288048
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1288115
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1288321
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`0
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1288445
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1288644
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1289075
pTemplateUtilities`0`x`()->etc``TEMUTL`1289128
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1289193
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1289337
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1289382
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1289501
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1289616
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1289744
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1289839
pTransSolvePackageService`1`n`(IntegralDomain)->etc`(R)`SOLVESER`1289913
pTransSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVETRA`1290471
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1291321
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1291372
pTranscendentalManipulations`2`x`(R:GcdDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1291463
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1291588
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1291757
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1291913
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1292388
pTubePlotTools`0`n`()->etc``TUBETOOL`1292539
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1292615
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1292728
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1292895
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1293024
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1293201
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1293378
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1293521
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1293706
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1293891
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1294037
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1294380
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1294663
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1295338
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1295488
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1295616
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1295792
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1295943
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1296020
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1296086
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1296319
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1296624
pViewportPackage`0`n`()->etc``VIEW`1296712
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1296838
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1297402
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1297764
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1297934
pd01AgentsPackage`0`x`()->etc``D01AGNT`1299256
pd01WeightsPackage`0`x`()->etc``D01WGTS`1299645
pd02AgentsPackage`0`x`()->etc``D02AGNT`1299954
pd03AgentsPackage`0`x`()->etc``D03AGNT`0
pe04AgentsPackage`0`x`()->etc``E04AGNT`0
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1300078
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1300206
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1300327
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1300904
xAbstractSyntaxCategory&`1`n`(AbstractSyntaxCategory)->etc`(S)`ASTCAT-`1301057
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1301116
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1301636
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1301729
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),IntegralDomain)->etc`(S,R)`ACFS-`1301775
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1301830
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1301887
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1302115
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1302233
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1302373
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1302588
xBooleanLogic&`1`n`(BooleanLogic)->etc`(S)`BOOLE-`1302687
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1302744
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1303180
xConstructorCategory&`1`n`(ConstructorCategory)->etc`(S)`CTORCAT-`1303267
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`1303335
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`1303655
xDifferentialDomain&`2`n`(DifferentialDomain(T),T:Type)->etc`(S,T)`DIFFDOM-`1303785
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1304422
xDifferentialSpace&`1`n`(DifferentialSpace)->etc`(S)`DIFFSPC-`1305748
xDifferentialSpaceExtension&`2`n`(DifferentialSpaceExtension(R),R:Type)->etc`(S,R)`DSEXT-`1305883
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1305959
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1308341
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1308498
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1308667
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1308713
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1309074
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1309464
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1309614
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1309691
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1310098
xField&`1`n`(Field)->etc`(S)`FIELD-`1310186
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1310408
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1310650
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1310821
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-`1312336
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1312552
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1312612
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1312856
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1312978
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1313129
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1313332
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1314359
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1314472
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1314750
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1314872
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1315103
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1315535
xFunctionSpace&`2`n`(FunctionSpace(R),R:SetCategory)->etc`(S,R)`FS-`1315618
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1315697
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1315997
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1316337
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1316880
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1316992
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1317406
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1317466
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1317725
xInputByteConduit&`1`n`(InputByteConduit)->etc`(S)`INBCON-`1318043
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1318102
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`1318168
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`1318497
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1318606
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1318920
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1318985
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1319150
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1319779
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1320045
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1320233
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1320329
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1320945
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1321012
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1321118
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1321559
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1321669
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1321795
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1321970
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1322109
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1322417
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1322639
xOperatorCategory&`2`n`(OperatorCategory(S),S:SetCategory)->etc`(A,S)`OPERCAT-`1323446
xOrderedAbelianGroup&`1`n`(OrderedAbelianGroup)->etc`(S)`OAGROUP-`1323657
xOrderedAbelianMonoid&`1`n`(OrderedAbelianMonoid)->etc`(S)`OAMON-`1323757
xOrderedType&`1`n`(OrderedType)->etc`(S)`ORDTYPE-`1323858
xOutputByteConduit&`1`n`(OutputByteConduit)->etc`(S)`OUTBCON-`1323915
xPartialDifferentialDomain&`3`n`(PartialDifferentialDomain(T,S),T:Type,S:Type)->etc`(A,T,S)`PDDOM-`1323975
xPartialDifferentialSpace&`2`n`(PartialDifferentialSpace(S),S:SetCategory)->etc`(A,S)`PDSPC-`1324271
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1324482
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1324652
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-`1324955
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1325569
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1325694
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1325832
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1325924
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1325995
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1326090
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1326385
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-`1326496
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1326725
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1327177
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-`1327656
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1330486
xRing&`1`n`(Ring)->etc`(S)`RING-`1330661
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1330759
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1330889
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1331215
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-`1331487
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1331743
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1332114
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`1332218
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1332339
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-`1332400
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1333824
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1333873
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1334428
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1334966
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1335139
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1335433
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1335581
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1335928
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1336225
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1336608
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1336707
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1337127
