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dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63488
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`63840
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`64062
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`64277
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64411
dBinaryFile`0`x`()->Join(FileCategory(FileName,SingleInteger),etc)``BINFILE`64501
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64619
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`64868
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65158
dBitStreamFrame`0`n`()->Join(Lattice,etc)``BITST`65392
dBits`0`x`()->Join(BitAggregate,etc)``BITS`65474
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`65541
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`65648
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`67054
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`0
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`67302
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`67713
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`67803
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`67861
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`68124
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68539
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68649
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`68684
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`68904
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`69123
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`69328
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`69921
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`70256
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`70297
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`70353
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`70460
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`70724
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`70815
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`71462
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`71749
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`71795
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`72061
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`72194
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72280
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`72379
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`72988
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`73068
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`73171
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73436
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`73799
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`73944
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`74156
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`74367
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`76217
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`0
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`76311
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`76730
dEnumeration`1`x`special`(a,b,...,c)`ENUM`77149
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77305
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`77470
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`77710
dExit`0`x`()->SetCategory``EXIT`77910
dExponentialExpansion`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`78197
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78490
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`79271
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79319
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80163
dFakePolynomial`0`n`()->etc``FAKEPOL`81008
dFileName`0`x`()->FileNameCategory``FNAME`81339
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`81408
dFiniteBiCPO`1`n`(SetCategory)->BiCPO(S)`(S)`FBICPO`81542
dFiniteCoDcpo`1`n`(SetCategory)->CoDcpo(S)`(S)`FCDCPO`81978
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`82451
dFiniteDcpo`1`n`(SetCategory)->Dcpo(S)`(S)`FDCPO`82752
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`83225
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`83454
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`84062
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`84700
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`85357
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`85631
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`85930
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`86448
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`86963
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`87460
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`87659
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`87917
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`87996
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`88469
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`88946
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`89962
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`93744
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`93850
dFortranFormat`0`n`()->OutputFormatterCategory``FORTFORM`0
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`94009
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`94179
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`94319
dFortranType`0`n`()->Join(SetCategory,etc)``FT`94362
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`94470
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`94647
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`94824
dFractionalIdealAsModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRIMOD`95092
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`95142
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`95187
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`95442
dFreeModule`2`n`(Join(SemiRng,etc),S:SetCategory)->Join(BiModule(R,R),etc)`(R,S)`FM`95641
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`96451
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`97065
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`97205
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`97532
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`97577
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`97626
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`98187
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`98220
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`98256
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`98574
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`98692
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`99177
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`99477
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`0
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`99549
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`99715
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`99826
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`100264
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`100376
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`100467
dHashState`0`n`()->etc``HASHSTAT`100551
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`100618
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`100777
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`100844
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`100939
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`101277
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`101686
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`102027
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`102381
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`102437
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`102493
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`102588
dIndexedDirectProductObject`2`n`(SetCategory,S:SetCategory)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`102686
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`103176
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`103398
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`104491
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`104632
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`105111
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`105582
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`105690
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`105737
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`106316
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`106434
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`106464
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`106579
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`106807
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`106964
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`107080
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`107654
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`107781
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`107889
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`108265
dIntegerLocalizedAtPrime`1`n`(PositiveInteger)->Join(EuclideanDomain,etc)`(p)`INTLOCP`108417
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`108628
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`108721
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`108799
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`109303
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`109598
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`109932
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`110086
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`110243
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`110471
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`110734
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`110904
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`111517
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`111744
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`112683
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`112855
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`112957
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`113054
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`113085
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`113141
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`113197
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`113326
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`113391
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`113759
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`113951
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`114306
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`114552
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`114833
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`115090
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`115346
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`115517
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`115904
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`116191
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`116331
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`116493
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`116803
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`117627
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`117729
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`117831
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`117926
dMapping`1`x`special`(T,S)`MAPPING`118018
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`118258
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`118353
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`118454
dModularAlgebraicGcdTools2`0`n`()->ModularAlgebraicGcdOperations(Polynomial(Integer),PrimitiveArray(U32Vector),Record(svz:Symbol,sm:U32Vector,sp:Integer))``MAGCDT2`0
dModularAlgebraicGcdTools3`0`n`()->Join(ModularAlgebraicGcdOperations(Polynomial(Integer),SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer)),etc)``MAGCDT3`0
dModularAlgebraicGcdTools4`0`n`()->ModularAlgebraicGcdOperations(FakePolynomial,SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer))``MAGCDT4`0
dModularEvaluation1`0`n`()->ModularEvaluationCategory(Polynomial(Integer),Polynomial(Integer))``MEVAL1`0
dModularEvaluation2`0`n`()->ModularEvaluationCategory(Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))),FakePolynomial)``MEVAL2`0
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`118487
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`118709
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`118919
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`118952
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`119001
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`119124
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`120087
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`120136
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`120183
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`120505
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`120758
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`120944
dNone`0`n`()->SetCategory``NONE`121040
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`121314
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`121837
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`121896
dOpenMathConnection`0`x`()->etc``OMCONN`121970
dOpenMathDevice`0`x`()->etc``OMDEV`122107
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`122299
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`122373
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`122539
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`122604
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`122653
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`122912
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`122997
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`0
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`123327
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`123374
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`123680
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`124368
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`124489
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`124717
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`125046
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`125308
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`125503
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`125576
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`125761
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`125829
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`125922
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`126013
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`126097
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`126372
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`127226
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`127471
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`127707
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`127928
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`127975
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`128114
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`128583
dPi`0`x`()->Join(Field,etc)``HACKPI`129076
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`129356
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`129587
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`129923
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`130288
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`130623
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`130679
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`131190
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`131554
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`131843
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`131932
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`132067
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`132212
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`132545
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`132809
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`132872
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`134591
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`134690
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`134743
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`134787
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`134852
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`134997
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`135064
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc))->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`135301
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`135436
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`135527
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`135749
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`136002
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`136204
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`136400
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`136540
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`136636
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`136742
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`136783
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`136852
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`136989
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`138628
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`138739
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`138835
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`138921
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`138989
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`139045
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`139368
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`139720
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`139928
dScriptFormulaFormat`0`n`()->Join(SetCategory,etc)``FORMULA`140016
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`140717
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`140872
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`140945
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`141054
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`141311
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`141986
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`142100
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`143208
dSimpleCell`2`n`(TheField:RealClosedField,ThePols:UnivariatePolynomialCategory(TheField))->Join(CoercibleTo(OutputForm),etc)`(TheField,ThePols)`SCELL`0
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`143787
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`144033
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`144104
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`144206
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`144401
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`144507
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`0
dSparseMultivariatePolynomial`2`n`(Join(SemiRng,etc),VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`144916
dSparseMultivariateSkewPolynomial`4`n`(R:Ring,Var:OrderedSet,(Var)->Automorphism(R),(Var)->(R)->R)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var,sigma,delta)`SKSMP`145264
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`145556
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`145848
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`145966
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`146532
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`146906
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`147483
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`147645
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`148228
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`148702
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`149325
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`150317
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`150592
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`150738
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`150782
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`150960
dString`0`x`()->Join(StringCategory,etc)``STRING`151071
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`151118
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`151184
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`151216
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`151474
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`151521
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`151633
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`151703
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`151737
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`151787
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`152011
dTaylorSeriesExpansionGeneralized`4`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,UPS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,Expon,SingletonAsOrderedSet,UPS,UTS)`(Coef,Expon,UPS,UTS)`TSEREXPG`0
dTaylorSeriesExpansionLaurent`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->TaylorSeriesExpansion(Coef,Integer,SingletonAsOrderedSet,ULS,UTS)`(Coef,UTS,ULS)`TSEREXPL`0
dTaylorSeriesExpansionPuiseux`4`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS),UPS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS))->TaylorSeriesExpansion(Coef,Fraction(Integer),SingletonAsOrderedSet,UPS,UTS)`(Coef,UTS,ULS,UPS)`TSEREXPP`0
dTaylorSeriesExpansionTaylor`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,NonNegativeInteger,SingletonAsOrderedSet,UTS,UTS)`(Coef,UTS)`TSEREXPT`0
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`152140
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`152271
dTensorProduct`5`n`(R:CommutativeRing,B1:OrderedSet,B2:OrderedSet,M1:FreeModuleCategory(R,B1),M2:FreeModuleCategory(R,B2))->Join(TensorProductCategory(R,M1,M2),etc)`(R,B1,B2,M1,M2)`TENSOR`152407
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`152673
dTexmacsFormat`0`n`()->Join(SetCategory,etc)``TMFORM`153425
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`153522
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`153660
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`153810
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`153893
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`153960
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`154142
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`154299
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`154446
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`154576
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`154694
dTyped`0`n`()->VarCat``TYPED`154760
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`154818
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`155006
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`155201
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`155389
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`155584
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`155771
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`155965
dUnion`1`x`special`(A,B,...,C)`UNION`156014
dUnivariateFormalPowerSeries`1`n`(Ring)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef)`UFPS`0
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`156163
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`156490
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`157043
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`157258
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(FiniteAbelianMonoidRing(UnivariatePuiseuxSeries(FE,var,cen),ExponentialOfUnivariatePuiseuxSeries(FE,var,cen)),etc)`(R,FE,var,cen)`UPXSSING`157589
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`158118
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`158682
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`158857
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`159327
dUntyped`0`n`()->VarCat``UNTYPED`159444
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`160034
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`160073
dVectorModularReconstructor`0`n`()->etc``VECREC1`160485
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`161039
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`161319
dVoid`0`x`()->etc``VOID`161446
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`161670
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`162190
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`162452
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCategory(R,FreeMonoid(vl)),etc)`(vl,R)`XDPOLY`163160
dXHashTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`163364
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`163474
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(XAlgebra(R),etc)`(R,E)`XPR`163758
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`164059
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`164326
dXmlAttribute`0`n`()->etc``XMLAT`164536
dXmlElement`0`n`()->etc``XMLEL`164702
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
o#`1`n`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o#`1`n`(_$)->NonNegativeInteger`dTuple(S)``164955
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``165023
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt)``165082
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,finiteAggregate)`165135
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``165198
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Coef,_$)->_$`dInnerTaylorSeries(Coef)``165346
o*`2`n`(D,_$)->_$`dJetLazyFunction(JB,D)``165420
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``165563
o*`2`n`(DoubleFloat,_$)->_$`cSPointCategory``165749
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Matrix(D),_$)->_$`dSparseEchelonMatrix(C,D)``166081
o*`2`n`(Matrix(Fraction(D)),_$)->_$`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`166150
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``166255
o*`2`n`(Permutation(Integer),_$)->_$`dIncidenceAlgebra(R,S)``166286
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,_$)->_$`dIncidenceAlgebra(R,S)``166384
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`dFreeGroup(S)``166477
o*`2`n`(S,_$)->_$`dFreeMonoid(S)``166553
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``166629
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``166701
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``166849
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``167053
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``167276
o*`2`n`(_$,Coef)->_$`dInnerTaylorSeries(Coef)``167340
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``167414
o*`2`n`(_$,R)->_$`dIncidenceAlgebra(R,S)``167496
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``167589
o*`2`n`(_$,S)->_$`dFreeGroup(S)``167651
o*`2`n`(_$,S)->_$`dFreeMonoid(S)``167728
o*`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``167805
o*`2`n`(_$,_$)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``168238
o*`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``168730
o*`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``169128
o*`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``169526
o*`2`n`(_$,_$)->_$`dFreeMagma(VarSet)``169924
o*`2`n`(_$,_$)->_$`dIncidenceAlgebra(R,S)``169975
o*`2`n`(_$,_$)->_$`dInputForm``170091
o*`2`n`(_$,_$)->_$`dOutputForm``170164
o*`2`n`(_$,_$)->_$`dPattern(R)``170218
o*`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``170271
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``170345
o*`2`x`(DoubleFloat,_$)->_$`dColor``170431
o*`2`x`(Integer,_$)->_$`cAbelianGroup``170533
o*`2`x`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`170602
o*`2`x`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`170645
o*`2`x`(NonNegativeInteger,_$)->_$`cAbelianMonoid``170738
o*`2`x`(PositiveInteger,_$)->_$`cAbelianSemiGroup``170806
o*`2`x`(PositiveInteger,_$)->_$`dColor``170966
o*`2`x`(R,S)->_$`cFreeModuleCategory(R,S)``171068
o*`2`x`(R,_$)->_$`cDirectProductCategory(dim,R)`has(R,SemiGroup)`171130
o*`2`x`(R,_$)->_$`cGradedModule(R,E)``171226
o*`2`x`(R,_$)->_$`cLeftModule(R)``171274
o*`2`x`(R,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`171384
o*`2`x`(R,_$)->_$`cVectorCategory(R)`has(R,SemiGroup)`171477
o*`2`x`(Row,_$)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`171573
o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``171702
o*`2`x`(S,R)->_$`cFreeModuleCategory(R,S)``171831
o*`2`x`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`171919
o*`2`x`(_$,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`172017
o*`2`x`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``172149
o*`2`x`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``172281
o*`2`x`(_$,R)->_$`cDirectProductCategory(dim,R)`has(R,SemiGroup)`172346
o*`2`x`(_$,R)->_$`cGradedModule(R,E)``172439
o*`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`172488
o*`2`x`(_$,R)->_$`cRightModule(R)``172584
o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,SemiGroup)`172695
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``172788
o*`2`x`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`172899
o*`2`x`(_$,_$)->_$`cMagma``172997
o*`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`173088
o*`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``173204
o*`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``173612
o*`2`x`(vl,_$)->_$`cXFreeAlgebra(vl,R)``173686
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``173761
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``174014
o+`2`n`(_$,_$)->_$`cFiniteGraph(S)``174160
o+`2`n`(_$,_$)->_$`cSPointCategory``174231
o+`2`n`(_$,_$)->_$`dIncidenceAlgebra(R,S)``174812
o+`2`n`(_$,_$)->_$`dInputForm``174924
o+`2`n`(_$,_$)->_$`dOutputForm``174997
o+`2`n`(_$,_$)->_$`dPattern(R)``175051
o+`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``175104
o+`2`x`(S,_$)->_$`cSegmentCategory(S)`has(S,AbelianSemiGroup)`175169
o+`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`175226
o+`2`x`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``175319
o+`2`x`(_$,S)->_$`cSegmentCategory(S)`has(S,AbelianSemiGroup)`175379
o+`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`175443
o+`2`x`(_$,_$)->_$`cAbelianSemiGroup``175536
o+`2`x`(_$,_$)->_$`cGradedModule(R,E)``175596
o+`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``175776
o+`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`175888
o+`2`x`(_$,_$)->_$`dColor``176036
o+`2`x`(_$,_$)->_$`dDatabase(S)``176114
o+`2`x`(_$,_$)->_$`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o+`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``176192
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``176277
o-`1`n`(_$)->_$`dOutputForm``176392
o-`1`x`(_$)->_$`cAbelianGroup``176445
o-`1`x`(_$)->_$`cGradedModule(R,E)``176498
o-`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`176607
o-`1`x`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`176668
o-`1`x`(_$)->_$`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``176731
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``176987
o-`2`n`(_$,_$)->_$`cSPointCategory``177140
o-`2`n`(_$,_$)->_$`dOutputForm``177611
o-`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`177665
o-`2`x`(_$,S)->_$`cSegmentCategory(S)`has(S,AbelianGroup)`177765
o-`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`177829
o-`2`x`(_$,_$)->Union(_$,"failed")`dCardinalNumber``177929
o-`2`x`(_$,_$)->_$`cAbelianGroup``178038
o-`2`x`(_$,_$)->_$`cGradedModule(R,E)``178133
o-`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`178320
o-`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`178439
o-`2`x`(_$,_$)->_$`dDatabase(S)``178594
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`n`(_$,_$)->_$`cMeetSemilattice``178754
o/\`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``178815
o/\`2`x`(_$,_$)->_$`dSingleInteger``178923
o/`2`n`(A,R)->_$`dLocalAlgebra(A,R)``179044
o/`2`n`(A,S)->A`xVectorSpace&(A,S)``0
o/`2`n`(M,R)->_$`dLocalize(M,R)``179105
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,R)->S`xDirectProductCategory&(S,dim,R)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
o/`2`n`(S,R)->S`xLieAlgebra&(S,R)``0
o/`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o/`2`n`(S,S)->S`xField&(S)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``179166
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``179355
o/`2`n`(_$,R)->_$`dLocalAlgebra(A,R)``179415
o/`2`n`(_$,R)->_$`dLocalize(M,R)``179476
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`179537
o/`2`n`(_$,_$)->Union(_$,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`0
o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`179578
o/`2`n`(_$,_$)->_$`dInputForm``179684
o/`2`n`(_$,_$)->_$`dOutputForm``179757
o/`2`n`(_$,_$)->_$`dPattern(R)``179811
o/`2`x`(S,S)->_$`cQuotientFieldCategory(S)``179864
o/`2`x`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`179938
o/`2`x`(_$,Integer)->_$`cFloatingPointSystem``180026
o/`2`x`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`180105
o/`2`x`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`180168
o/`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`180231
o/`2`x`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`180318
o/`2`x`(_$,S)->_$`cVectorSpace(S)``180405
o/`2`x`(_$,_$)->_$`cField``180474
o/`2`x`(_$,_$)->_$`cGroup``180570
o/`2`x`(_$,_$)->_$`dEquation(S)`has(S,Field)`180642
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`n`()->_$`cDistributionCategory(R)``0
o0`0`n`()->_$`dInputForm``0
o0`0`n`()->_$`dPattern(R)``0
o0`0`n`()->_$`dVectorSpaceBasis(R)``0
o0`0`x`()->_$`cAbelianMonoid``0
o0`0`x`()->_$`cGradedModule(R,E)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`n`()->_$`cJetBundleCategory``0
o1`0`n`()->_$`dInputForm``0
o1`0`n`()->_$`dPattern(R)``0
o1`0`n`()->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`x`()->_$`cGradedAlgebra(R,E)``0
o1`0`x`()->_$`cMagmaWithUnit``0
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`n`(_$,_$)->_$`dOutputForm``180765
o<=`2`x`(_$,_$)->Boolean`cPartialOrder``180820
o<=`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``180870
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o<`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o<`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`n`(_$,_$)->_$`dOutputForm``181080
o<`2`x`(_$,_$)->Boolean`cPartialOrder``181134
o<`2`x`(_$,_$)->Boolean`cPermutationCategory(S)``181174
o<`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``181328
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o=`2`n`(_$,_$)->Boolean`cVarCat``181431
o=`2`n`(_$,_$)->Boolean`dFortranScalarType``181544
o=`2`n`(_$,_$)->Boolean`dILogic``181580
o=`2`n`(_$,_$)->Boolean`dLambda(UT)``181726
o=`2`n`(_$,_$)->Boolean`dLatticeJoinOfMeets``182019
o=`2`n`(_$,_$)->Boolean`dLatticeMeetOfJoins``182165
o=`2`n`(_$,_$)->Boolean`dReference(S)``182311
o=`2`n`(_$,_$)->Boolean`dSKICombinators(UT)``182391
o=`2`n`(_$,_$)->_$`dOutputForm``182660
o=`2`x`(S,S)->_$`dEquation(S)``182714
o=`2`x`(_$,_$)->Boolean`cBasicType``182752
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`n`(_$,_$)->_$`dOutputForm``182813
o>=`2`x`(_$,_$)->Boolean`cPartialOrder``182868
o>`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>`2`n`(_$,_$)->Boolean`cJetBundleCategory``182921
o>`2`n`(_$,_$)->_$`dOutputForm``183023
o>`2`x`(_$,_$)->Boolean`cPartialOrder``183077
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``183120
oAleph`1`x`(NonNegativeInteger)->_$`dCardinalNumber``183215
oAn`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``183284
oAnd`2`n`(_$,_$)->_$`dIndexedBits(mn)``183317
oAnd`2`x`(_$,_$)->_$`dSingleInteger``183409
oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``183521
oBY`2`x`(_$,Integer)->_$`cSegmentCategory(S)``184121
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``184219
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``184311
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``184396
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``184436
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``184709
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``184763
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``185036
oBeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``185090
oBumInSepFFE`1`n`(Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger))->Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger)`pUnivariatePolynomialSquareFree(RC,P)``185158
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``185272
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``185331
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``185390
oChi`1`x`(_$)->_$`cLiouvillianFunctionCategory``185449
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``185580
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``185634
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``185688
oCi`1`x`(_$)->_$`cLiouvillianFunctionCategory``185742
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``185867
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->_$`dPartialDifferentialOperator(R,Var)``185958
oD`1`n`(Var)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``186063
oD`1`x`(_$)->_$`cDifferentialRing``186164
oD`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``186307
oD`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
oD`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundle(IVar,DVar)``186361
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundleSymAna(JB1,xi,eta)``186491
oD`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``186540
oD`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``186635
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``186765
oD`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``186836
oD`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``186907
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``187000
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``187129
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``187294
oDelta`1`n`(Symbol)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`187442
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``187547
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``187770
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``188084
oEXPRR2F`1`n`(Expression(Integer))->F`pGuessFiniteFunctions(F)``0
oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``188176
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``188235
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``188294
oEi`1`x`(_$)->_$`cLiouvillianFunctionCategory``188353
oF2EXPRR`1`n`(F)->Expression(Integer)`pGuessFiniteFunctions(F)``0
oF2EXPRR`1`n`(Fraction(Polynomial(R)))->Expression(Integer)`pGuessPolynomialFunctions(R)``0
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``188481
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``188539
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``188597
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``188634
oFormatRadix`2`n`(Integer,Integer)->String`pNumberFormats``188720
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``188812
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``188895
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(_$)->_$`cExtensionField(F)`has(F,Finite)`188935
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`189022
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``189116
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``189207
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``189338
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189428
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``189504
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``189666
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``189717
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``189879
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``189930
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``189981
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``190072
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``190133
oHP_solve_A`6`n`(List(List(AlgebraicNumber)),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(AlgebraicNumber)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(AlgebraicNumber)),Boolean)`pModularHermitePade``190699
oHP_solve_I`6`n`(List(List(Fraction(Integer))),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``190741
oHP_solve_M`7`n`(List(List(Integer)),List(Integer),Symbol,Integer,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``190782
oHP_solve_PA`7`n`(List(List(Fraction(Polynomial(AlgebraicNumber)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))),Boolean)`pModularHermitePade``190861
oHP_solve_P`7`n`(List(List(Fraction(Polynomial(Integer)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(Integer))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(Integer))),Boolean)`pModularHermitePade``190927
oHP_solve`7`n`(List(List(F)),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(S)),Boolean)`pModularHermitePadeSolver(F,S)``190979
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``191393
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``191584
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``191683
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``191889
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``192321
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``192463
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``192908
oI`0`n`()->_$`dSKICombinators(UT)``193097
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``193136
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`193278
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`193533
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`193788
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,Fraction(R)))->ContinuedFraction(UnivariatePolynomial(z,Fraction(R)))`pDistributionContinuedFractionPackage(R,z)`AND(has(R,IntegralDomain),not(has(R,Field)))`194070
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`194176
oK`0`n`()->_$`dSKICombinators(UT)``194282
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``194321
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``194412
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``194437
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``194462
oLLL`1`n`(Matrix(Integer))->Matrix(Integer)`pLLLReduction``194486
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``194631
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``194746
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``194836
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``195075
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``195160
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``195364
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``195423
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`195514
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``195647
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`195722
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``195839
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``195975
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``196053
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``196137
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``196349
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``196438
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``196521
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``196655
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``196779
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``196862
oNOT`1`n`(_$)->_$`dSwitch``196949
oNot`1`n`(_$)->_$`dIndexedBits(mn)``197036
oNot`1`x`(_$)->_$`dSingleInteger``197110
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``197203
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``197298
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``197381
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``197460
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``197552
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``197645
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``197668
oOMclose`1`x`(_$)->Void`dOpenMathDevice``197693
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``197770
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``197801
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``197833
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``197859
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``197941
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``198030
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``198225
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``198308
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``198384
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``198463
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``198538
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``198623
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``198695
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``198773
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``198854
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``198931
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``199018
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``199092
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``199166
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``199242
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``199314
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``199374
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``199439
oOMgetString`1`x`(_$)->String`dOpenMathDevice``199513
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``199575
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``199637
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``199716
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``199782
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``199852
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``199919
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``199943
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``200190
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``200317
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``200392
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``200470
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``200544
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``200628
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``200699
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``200776
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``200856
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``200932
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``201018
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``201091
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``201164
oOMputError`1`x`(_$)->Void`dOpenMathDevice``201239
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``201310
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``201385
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``201464
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``201537
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``201614
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``201722
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``201803
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``201893
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``201982
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``202072
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``202190
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``202279
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``202457
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``202596
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``202702
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``202848
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``203013
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``203121
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``203254
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``203482
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``203714
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``203807
oOr`2`x`(_$,_$)->_$`dSingleInteger``203897
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleCategory``204007
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->_$`cJetBundleCategory``204116
oP`1`n`(NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``204251
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleCategory``204481
oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``204637
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``204817
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`204930
oPfaffian`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`205043
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``205156
oPnan?`1`n`(_$)->Boolean`cSPointCategory``205249
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``205753
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oPr`2`n`(PositiveInteger,List(PositiveInteger))->_$`cJetBundleCategory``205848
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``205944
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`206007
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``206068
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``206273
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``206575
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``206662
oSEGMENT`1`n`(_$)->_$`dOutputForm``206898
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``206960
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``207046
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``207113
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``207195
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``207356
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``207794
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``207939
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``208056
oS`0`n`()->_$`dSKICombinators(UT)``208153
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``208193
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``208278
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``208406
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``208600
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``208682
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``208740
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``208798
oShi`1`x`(_$)->_$`cLiouvillianFunctionCategory``208856
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``208986
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``209219
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``209535
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``209588
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``209641
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``209694
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``209818
oSomos`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``209919
oSturmHabichtCoefficients`2`x`(UP,UP)->List(R)`pSturmHabichtPackage(R,UP)``210145
oSturmHabichtMultiple`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`210271
oSturmHabichtSequence`2`x`(UP,UP)->List(UP)`pSturmHabichtPackage(R,UP)``210574
oSturmHabicht`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)``210682
oT$`0`n`()->S`xLogic&(S)``0
oT$`0`n`()->_$`cBoundedMeetSemilattice``210977
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``211012
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``211074
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`0`n`()->_$`cJetBundleCategory``211177
oU`0`n`()->_$`cJetBundleFunctionCategory(JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oU`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->_$`cJetBundleCategory``211234
oU`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``211306
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``211349
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``211561
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``211587
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``211613
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``211638
oX`0`n`()->S`xJetBundleCategory&(S)``0
oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`0`n`()->_$`cJetBundleCategory``211679
oX`0`n`()->_$`cJetBundleFunctionCategory(JB)``0
oX`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->_$`cJetBundleCategory``211738
oX`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``211812
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``211880
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(_$,_$)->_$`cJoinSemilattice``212043
o\/`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``212104
o\/`2`x`(_$,_$)->_$`dSingleInteger``212219
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``212340
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`212396
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``212467
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)->_$`dFreeGroup(S)``212584
o^`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,NonNegativeInteger)->_$`dFreeMonoid(S)``212662
o^`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o^`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``212740
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``212848
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`212956
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`213038
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``213121
o^`2`n`(_$,Integer)->_$`dInputForm``213189
o^`2`n`(_$,Integer)->_$`dOperator(R)``0
o^`2`n`(_$,NonNegativeInteger)->_$`dIncidenceAlgebra(R,S)``213263
o^`2`n`(_$,NonNegativeInteger)->_$`dInputForm``213382
o^`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``213456
o^`2`n`(_$,PositiveInteger)->_$`cDistributionCategory(R)``213510
o^`2`n`(_$,_$)->_$`dOutputForm``213667
o^`2`n`(_$,_$)->_$`dPattern(R)``213722
o^`2`n`(_$,_$)->_$`dSmallOrdinal``213776
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``213924
o^`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`214024
o^`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``214245
o^`2`x`(_$,Integer)->_$`cDivisionRing``214331
o^`2`x`(_$,Integer)->_$`cGroup``214404
o^`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`214477
o^`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`214624
o^`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``214733
o^`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``214766
o^`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`214866
o^`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``214985
o^`2`x`(_$,PositiveInteger)->_$`cMagma``215056
o^`2`x`(_$,_$)->_$`cElementaryFunctionCategory``215156
o^`2`x`(_$,_$)->_$`dCardinalNumber``215214
o_|_`0`n`()->S`xLogic&(S)``0
o_|_`0`n`()->_$`cBoundedJoinSemilattice``215323
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``215362
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``215415
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``215459
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``215511
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``215571
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``215718
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedRing&(S)``0
oabs`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``215795
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`215862
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`215991
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`216079
oabs`1`x`(_$)->_$`cOrderedRing``216163
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``216224
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``216285
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``216367
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``216449
oacos`1`n`(F)->F`pElementaryFunction(R,F)``216538
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)``216608
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``216679
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``216750
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``216823
oacos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``216898
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``216967
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``217331
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``217422
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)``217504
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``217596
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``217688
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``217777
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``217868
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``217938
oacot`1`n`(F)->F`pElementaryFunction(R,F)``218027
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)``218100
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``218174
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``218248
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``218324
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``218402
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``218463
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``218554
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)``218639
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``218734
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``218829
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``218921
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``219015
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``219088
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``219177
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)``219249
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``219322
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``219395
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``219470
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``219547
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``219607
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``219698
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)``219782
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``219876
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``219970
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``220061
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``220154
oadaptive3D?`0`n`()->Boolean`dPlot3D``220226
oadaptive?`0`n`()->Boolean`dPlot``220302
oadaptive`0`x`()->Boolean`pGraphicsDefaults``220375
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``220453
oadaptive`1`x`(Boolean)->_$`dDrawOption``220562
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``220743
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xFiniteGraph&(A,S)``0
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xPoset&(A,S)``0
oaddArrow!`2`n`(_$,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->_$`cFiniteGraph(S)``220954
oaddArrow!`3`n`(A,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`cPoset(S)``221026
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(_$,String,NonNegativeInteger,NonNegativeInteger)->_$`cFiniteGraph(S)``221317
oaddArrow!`4`n`(_$,String,S,S)->_$`cFiniteGraph(S)``221527
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xFiniteGraph&(A,S)``0
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xPoset&(A,S)``0
oaddArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->_$`cFiniteGraph(S)``221711
oaddArrows2Din2D`5`n`(_$,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``221972
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``222115
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``222263
oaddChild!`2`n`(_$,_$)->Void`dScene(PT)``222417
oaddCube`2`n`(_$,CubicalFacet)->_$`dFiniteCubicalComplex(VS)``222512
oaddImpliedFaces`1`n`(_$)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``222634
oaddImpliedFaces`1`n`(_$)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``222935
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``223242
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``223621
oaddNode!`3`n`(_$,String,Scene(PT))->_$`dSceneNamedPoints(PT)``223863
oaddObject!`2`n`(A,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->A`xPoset&(A,S)``0
oaddObject!`2`n`(A,S)->A`xPoset&(A,S)``0
oaddObject!`2`n`(_$,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->_$`cFiniteGraph(S)``223924
oaddObject!`2`n`(_$,S)->_$`cFiniteGraph(S)``224018
oaddObject!`2`n`(_$,S)->_$`cPoset(S)``224230
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224440
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224569
oaddPlot1Din2Dparametric`4`n`(_$,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224698
oaddPlot1Din3Dparametric`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224849
oaddPlot1Din3Dparametric`4`n`(_$,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``225002
oaddPlot2Din3D`5`n`(_$,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``225153
oaddPlot2Din3Dparametric`5`n`(_$,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``225288
oaddPlot2Din3Dparametric`5`n`(_$,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``225443
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``225598
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``225778
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``226082
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``226244
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``227037
oaddPoints!`3`n`(_$,String,_$)->_$`dSceneNamedPoints(PT)``227798
oaddSceneArrow`6`n`(_$,String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``227863
oaddSceneArrow`7`n`(_$,_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``228005
oaddSceneArrows`4`n`(_$,List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``228160
oaddSceneBox`2`n`(_$,DoubleFloat)->_$`dScene(PT)``228290
oaddSceneClip`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``228398
oaddSceneClip`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``228523
oaddSceneDef`3`n`(_$,String,_$)->_$`dScene(PT)``228631
oaddSceneGraph`5`n`(_$,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``228745
oaddSceneGrid`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``228881
oaddSceneGrid`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``229006
oaddSceneGrid`3`n`(_$,DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``229114
oaddSceneGrid`3`n`(_$,DoubleFloat,SBoundary(PT))->_$`dScene(PT)``229239
oaddSceneGroup`1`n`(_$)->_$`dScene(PT)``229359
oaddSceneIFS`2`n`(_$,SceneIFS(PT))->_$`dScene(PT)``229463
oaddSceneIFS`3`n`(_$,List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``229570
oaddSceneLine`2`n`(_$,List(PT))->_$`dScene(PT)``229684
oaddSceneLine`4`n`(_$,_$,_$,DoubleFloat)->_$`dScene(PT)``229794
oaddSceneLine`5`n`(_$,_$,_$,DoubleFloat,Boolean)->_$`dScene(PT)``229921
oaddSceneLines`2`n`(_$,List(List(PT)))->_$`dScene(PT)``230048
oaddSceneMaterial`2`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``230160
oaddSceneMaterial`4`n`(_$,DoubleFloat,String,String)->_$`dScene(PT)``230277
oaddSceneNamedPoints`2`n`(_$,SceneNamedPoints(PT))->_$`dScene(PT)``230414
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``230536
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``230661
oaddSceneRuler`4`n`(_$,Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``230792
oaddSceneRuler`4`n`(_$,Symbol,PT,SBoundary(PT))->_$`dScene(PT)``230917
oaddSceneShape`2`n`(_$,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``231046
oaddSceneShape`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``231159
oaddSceneText`2`n`(_$,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``231272
oaddSceneText`4`n`(_$,List(String),NonNegativeInteger,PT)->_$`dScene(PT)``231382
oaddSceneText`4`n`(_$,String,NonNegativeInteger,PT)->_$`dScene(PT)``231503
oaddSceneTransform`2`n`(_$,STransform(PT))->_$`dScene(PT)``231624
oaddSceneUse`2`n`(_$,String)->_$`dScene(PT)``231744
oaddSimplex`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``231851
oaddVertex2`2`n`(_$,Record(left:NonNegativeInteger,right:NonNegativeInteger))->_$`dProductFacet``231999
oaddVertex`2`n`(_$,NonNegativeInteger)->_$`dOrientedFacet``232043
oaddWArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,W)->_$`dWeightedGraph(S,W)``232087
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``232351
oadd_slots`2`n`(List(Integer),_$)->Void`dVectorModularReconstructor``232527
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``232592
oadditive?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``232879
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``232984
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjacencyMatrix`1`n`(_$)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``233069
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(_$)->_$`dPartialDifferentialOperator(R,Var)``233462
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`233529
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``233712
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`233772
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`233845
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``233964
oairyAiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``234063
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``234152
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``234232
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``234409
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``234586
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``234652
oairyBiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``234751
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``234830
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``234910
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``235087
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``235264
oalgDepHP`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynom--ial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expre--ssion(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->S--tream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``235330
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integ--er),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oalgDepHP`2`x`(List(List(Fraction(Integer))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariat--ePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Express--ion(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vect--or(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(F--raction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPower--Series(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(N--onNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),List(R))->Record(particular:List(Record(ratpart:R,coeffs:Vector(F))),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``235470
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``235564
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)``235888
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``236213
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``236290
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``0
oalg_split_roots`3`n`(List(F),Kernel(F),Kernel(F))->List(Record(funs:List(F),nroot:F,npow1:Integer,npow2:Integer))`pRootFSSplit(R,F)``236383
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``236568
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``236854
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``236972
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``237093
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicGcd`6`n`(PT,PT,List(PT),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd2(PT,MP,MPT,MD,ME,MO)``237280
oalgebraicGcd`6`n`(Polynomial(Integer),Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd(MPT,MD,MO)``0
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``237533
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``237588
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``237720
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``237851
oalgextint_base`3`n`((SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,R)``237980
oalgextint_base`5`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``238267
oalgextint`5`n`((SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,R)``238428
oalgextint`7`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F--)``238750
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``239013
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``239198
oalgtower`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
oalgtower`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
oalgtower`1`x`(List(_$))->List(Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`239294
oalgtower`1`x`(_$)->List(Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`239548
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``239598
oallDegrees`1`x`(Boolean)->_$`dGuessOption``239729
oallIndices`1`n`(_$)->List(C)`dSparseEchelonMatrix(C,D)``239981
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``240086
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``240203
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``240320
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``240407
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``240494
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``240581
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``240668
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``240755
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``240842
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``240949
oallSimpleCells`2`n`(ThePols,Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``241109
oallSubsets`2`n`(_$,NonNegativeInteger)->List(_$)`dCubicalFacet``241192
oallSubsets`2`n`(_$,NonNegativeInteger)->List(_$)`dOrientedFacet``241294
oallSubsets`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(_$)`dCubicalFacet``241396
oallSubsets`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(_$)`dOrientedFacet``241499
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``241602
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``241702
oalphabetic?`1`x`(_$)->Boolean`dCharacter``241843
oalphabetic`0`x`()->_$`dCharacterClass``241958
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``242084
oalphanumeric`0`x`()->_$`dCharacterClass``242226
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``242356
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``242932
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``243324
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``243430
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``243680
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``243930
oand`2`n`(_$,_$)->_$`dOutputForm``244029
oand`2`x`(_$,_$)->_$`cBitAggregate``244086
oand`2`x`(_$,_$)->_$`dBoolean``244179
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``244265
oangerJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``244325
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(_$,_$)->Boolean`cRng``244386
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``244480
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``244554
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``244749
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``244944
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``245105
oantiCommutator`2`n`(S,S)->S`xNonAssociativeSemiRng&(S)``0
oantiCommutator`2`n`(_$,_$)->_$`cNonAssociativeSemiRng``245266
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``245327
oantipode`1`x`(_$)->_$`cHopfAlgebra(R,MxM)``245365
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`245437
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``245648
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,AbelianGroup)`245859
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`246070
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`246658
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`247264
oany`2`x`(SExpression,None)->_$`dAny``247564
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``247750
oappendRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``247947
oappend`2`x`(_$,_$)->_$`dList(S)``248040
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)``248199
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``248288
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``248347
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``248416
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``248495
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``248584
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``248823
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``248963
oapply_taylor`2`n`(Stream(Coef),_$)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``249026
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``249267
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``249331
oapply`2`n`(_$,Partition)->R`cSequenceCategory(R)``249408
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``249550
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``249818
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``249951
oapply`3`n`(_$,Integer,Integer)->R`dIncidenceAlgebra(R,S)``250112
oapply`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``250173
oapply`3`n`(_$,P,P)->Integer`dFiniteMoebiusFunction(P)``250250
oapply`3`n`(_$,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``250359
oapply`3`n`(_$,S,S)->R`dIncidenceAlgebra(R,S)``250468
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``250637
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``250755
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``250891
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``251014
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``251257
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``251468
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`251571
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``251706
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``251847
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``251944
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``252074
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`252301
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`252394
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`252534
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`252691
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``253997
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``254052
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``254108
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``254215
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``254345
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``254477
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``254609
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``254686
oargument`1`n`(_$)->List(S)`dKernel(S)``254764
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`254842
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``254924
oarity`1`x`(_$)->Union(NonNegativeInteger,"failed")`dBasicOperator``255033
oaromberg`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``255153
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``255960
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xFiniteGraph&(A,S)``0
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xPoset&(A,S)``0
oarrowName`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``256128
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``256249
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``256301
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``256387
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``256489
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``256575
oasec`1`n`(F)->F`pElementaryFunction(R,F)``256664
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``256734
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``256805
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``256876
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``256949
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``257024
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``257082
oasech`1`n`(F)->F`pElementaryFunction(R,F)``257173
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``257255
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``257347
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``257439
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``257528
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``257619
oasimpson`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``257689
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``258496
oasin`1`n`(F)->F`pElementaryFunction(R,F)``258585
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``258653
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``258722
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``258791
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``258862
oasin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``258935
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``259004
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``259366
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``259457
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``259537
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``259627
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``259717
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``259804
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``259893
oassert`2`x`(_$,Symbol)->_$`dBasicOperator``259961
oassign`2`n`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``260112
oassign`2`n`(Symbol,Expression(Float))->_$`dFortranCode``260197
oassign`2`n`(Symbol,Expression(Integer))->_$`dFortranCode``260282
oassign`2`n`(Symbol,Expression(MachineComplex))->_$`dFortranCode``260367
oassign`2`n`(Symbol,Expression(MachineFloat))->_$`dFortranCode``260452
oassign`2`n`(Symbol,Expression(MachineInteger))->_$`dFortranCode``260537
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``260622
oassign`2`n`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``260707
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``260792
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``260877
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``260962
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``261047
oassign`2`n`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``261132
oassign`2`n`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``261217
oassign`2`n`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``261302
oassign`2`n`(Symbol,String)->_$`dFortranCode``261387
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``261472
oassign`2`n`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``261557
oassign`2`n`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``261642
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``261727
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``261812
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``261897
oassign`2`n`(Symbol,Vector(MachineComplex))->_$`dFortranCode``261982
oassign`2`n`(Symbol,Vector(MachineFloat))->_$`dFortranCode``262067
oassign`2`n`(Symbol,Vector(MachineInteger))->_$`dFortranCode``262152
oassign`2`n`(_$,_$)->_$`dOutputForm``262237
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``262315
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``262489
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``262663
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``262837
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``263011
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``263185
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``263359
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`263518
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``263716
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cEntireRing``263865
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``263996
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``264076
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``264156
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`264505
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``264854
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``264924
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``0
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``264999
oatan`1`n`(F)->F`pElementaryFunction(R,F)``265088
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)``265159
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``265231
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``265303
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``265377
oatan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``265453
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``265522
oatan`2`x`(_$,_$)->_$`dDoubleFloat``265941
oatan`2`x`(_$,_$)->_$`dFloat``266028
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``266115
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``266206
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)``266289
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``266382
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``266475
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``266565
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``266657
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``266728
oatom?`1`n`(_$)->Boolean`dILogic``266817
oatom?`1`n`(_$)->Boolean`dLambda(UT)``266943
oatom?`1`n`(_$)->Boolean`dLatticeJoinOfMeets``267096
oatom?`1`n`(_$)->Boolean`dLatticeMeetOfJoins``267222
oatom?`1`n`(_$)->Boolean`dSKICombinators(UT)``267348
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``267474
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``267540
oatrapezoidal`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``267633
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``268448
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``268550
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``268730
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``268830
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduce`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``269262
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``269411
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``269586
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``269675
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``269786
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``270018
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``270269
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``270533
oback`1`x`(_$)->S`cQueueAggregate(S)``270775
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``270923
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``270961
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``270999
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``271131
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``271249
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``271439
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`271604
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`271836
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``272068
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``272144
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``272226
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``272809
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``273539
obase`0`n`()->PositiveInteger`dMachineFloat``273741
obase`0`x`()->PositiveInteger`cFloatingPointSystem``273792
obase`0`x`()->_$`cIntegerNumberSystem``273882
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``273970
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``274031
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``274093
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``274419
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``274606
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``274867
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``275026
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``275195
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``275319
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``275499
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``275680
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``275862
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``276090
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``276215
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``276396
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(S)`xOctonionCategory&(S,R)``0
obasis`0`n`()->Vector(_$)`cFramedModule(R)``276579
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``276642
obasis`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``276718
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``276816
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``276910
obasis`1`n`(_$)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``276994
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``277072
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`277163
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``277235
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``277547
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``277654
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``277704
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``277804
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``277948
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``278036
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``278116
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``278207
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``278268
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``278355
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`278442
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``278541
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``278635
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``278959
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``279118
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``279210
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``279425
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``279640
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``279721
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``279813
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``280019
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``280225
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``280297
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``280389
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``280788
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``281188
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``281270
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``281362
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``281774
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``282176
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`282249
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``282385
obezoutMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`282493
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``282648
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``283039
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``283091
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``283191
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``283309
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``283414
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``283548
obinary`2`n`(_$,List(_$))->_$`dInputForm``283622
obind`1`n`(_$)->_$`dLambda(UT)``283738
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(_$,CommutativeRing)`283829
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``283932
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``284109
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``284154
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``284255
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``284463
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``284663
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``284956
obirth`1`n`(_$)->_$`dSubSpace(n,R)``285198
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``285235
obitCoef`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerBits``285333
obitTruth`2`n`(Integer,NonNegativeInteger)->Boolean`pIntegerBits``285440
obits`0`x`()->PositiveInteger`cFloatingPointSystem``285564
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`285629
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``285722
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``285795
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``285893
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``286054
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``286222
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(_$)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``286317
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``286464
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``286585
oblockSplit`3`n`(S,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`n`(S,PositiveInteger,PositiveInteger)->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`x`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``286706
oblockSplit`3`x`(_$,PositiveInteger,PositiveInteger)->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``287083
oblock`1`n`(List(_$))->_$`dFortranCode``287332
oblue`0`x`()->_$`dColor``287422
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``287497
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``287581
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``287675
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``287808
obooleanConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``287849
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``287965
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``288088
obooleanCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``288241
obooleanCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``288349
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``288455
obottom`1`x`(_$)->S`cDequeueAggregate(S)``288520
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`288601
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``288661
oboundary`1`n`(_$)->List(_$)`dCubicalFacet``288880
oboundary`1`n`(_$)->List(_$)`dOrientedFacet``288949
oboundary`1`n`(_$)->_$`dFiniteCubicalComplex(VS)``289018
oboundary`1`n`(_$)->_$`dFiniteSimplicialComplex(VS)``289236
oboundary`2`n`(_$,DoubleFloat)->SBoundary(PT)`dScene(PT)``289435
oboxBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``290334
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``290558
obox`1`x`(_$)->_$`cExpressionSpace``290607
obrace`1`n`(List(_$))->_$`dOutputForm``290844
obrace`1`n`(_$)->_$`dOutputForm``290975
obracket`1`n`(List(_$))->_$`dOutputForm``291062
obracket`1`n`(_$)->_$`dOutputForm``291196
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)``291277
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)``291414
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``291551
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``291627
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``291706
obright`1`x`(Color)->_$`dPalette``291791
obright`1`x`(List(String))->List(String)`pDisplayPackage``291885
obright`1`x`(String)->List(String)`pDisplayPackage``291987
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``292076
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``292236
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``292533
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``292629
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``292766
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``292902
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``293060
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``293328
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`293861
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``293904
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``293952
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``293999
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``294170
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``294314
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`294461
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`294587
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`294730
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`294859
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295005
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295133
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295278
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295404
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295547
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295671
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295812
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295939
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296083
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296205
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296339
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296464
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296601
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296725
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296861
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296988
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297113
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297258
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297366
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297488
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297622
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297742
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297874
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297997
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``298132
ocall`1`n`(String)->_$`dFortranCode``298174
ocanonicalBasis`1`n`(NonNegativeInteger)->_$`dVectorSpaceBasis(R)``298249
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``298350
ocanonicalMoebiusFunction`1`n`(List(P))->_$`dGeneralizedFiniteMoebiusFunction(P,R)``298456
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``298535
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``298650
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``298706
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``298814
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``299045
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``299143
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``299271
ocartesian`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``299353
ocartesian`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``299823
ocartesian`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``299945
ocartesian`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``300370
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``300795
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``300859
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`300930
oceiling`1`x`(_$)->_$`cRealNumberSystem``301009
ocenter`1`n`(_$)->_$`dOutputForm``301072
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``301134
ocenter`2`n`(_$,Integer)->_$`dOutputForm``301221
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``301304
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``301590
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``301909
ochainComplex`1`n`(List(Matrix(Integer)))->_$`dChainComplex``302116
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``302135
ochain`1`n`(_$)->ChainComplex`dDeltaComplex(VS)``302246
ochain`1`n`(_$)->ChainComplex`dFiniteCubicalComplex(VS)``302329
ochain`1`n`(_$)->ChainComplex`dFiniteSimplicialComplex(VS)``302412
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``302608
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``302669
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``302826
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``302908
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``303014
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``303120
ocharClass`1`x`(List(Character))->_$`dCharacterClass``303260
ocharClass`1`x`(String)->_$`dCharacterClass``303379
ochar_pol_via_den_interpolation`1`n`(Matrix(Fraction(R)))->SparseUnivariatePolynomial(Fraction(R))`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`303500
ochar_pol_via_interpolation`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial3(R)``303596
ochar_pol`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pCharacteristicPolynomial2(F)``303688
ochar`1`x`(Integer)->_$`dCharacter``303762
ochar`1`x`(String)->_$`dCharacter``303902
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``303983
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``304079
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``304188
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)``304291
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``304472
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``304645
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``304805
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``304954
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``305133
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``305304
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``305456
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``305744
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``305874
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``306253
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``306379
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``307071
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``307142
ocharlierC`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``307206
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``307270
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cCharacteristicNonZero``307381
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`307499
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``307620
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``307746
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``308038
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``308230
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``308517
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``308704
ocheckExtraValues`1`x`(Boolean)->_$`dGuessOption``308859
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``309052
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``309313
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``309592
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``309700
ocheckType`1`n`(String)->String`pFortranCodeTools``309822
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``309849
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``309910
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->_$`dGuessOption``310175
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``310463
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``310589
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``310625
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``310667
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`310708
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``310789
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)``310831
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``310871
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``310951
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``311196
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)``311404
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``311464
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``311668
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorModularReconstructor``311756
ochkLibraryError`0`n`()->Void`pUnittestCount``311876
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``311955
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``311993
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``312088
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``312497
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``312563
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``312677
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``312791
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``312911
oclassicalConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``313022
oclassicalCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``313142
oclassicalCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``313254
oclearCache`0`n`()->Void`pSortedCache(S)``313359
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``313405
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``313589
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``313738
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``313922
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``314067
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``314139
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``314233
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``314302
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``314382
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``314450
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``314667
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``315036
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``315439
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``315533
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``315698
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``316004
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``316362
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``316637
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``316918
oclip`1`x`(Boolean)->_$`dDrawOption``317202
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``317366
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``317524
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``317839
oclose!`1`x`(_$)->_$`dLibrary``317917
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``317998
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``318476
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``318680
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``318888
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``318930
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``318969
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``319048
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``319178
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``319300
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``319344
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``319388
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``319624
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``319887
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``320233
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``320782
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``321062
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dFunctionGraph(S)``321186
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``321312
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``321353
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``321394
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``321435
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``321490
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``321606
ocoChainComplex`1`n`(ChainComplex)->_$`dCoChainComplex(VS)``321722
ocoChainComplex`1`n`(List(Matrix(Integer)))->_$`dCoChainComplex(VS)``321766
ocoChain`1`n`(_$)->CoChainComplex(VS)`dDeltaComplex(VS)``321785
ocoChain`1`n`(_$)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``321868
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`322072
ocoHomology`1`n`(_$)->List(Homology)`dCoChainComplex(VS)``322143
ocoHomology`1`n`(_$)->List(Homology)`dDeltaComplex(VS)``322191
ocoHomology`1`n`(_$)->List(Homology)`dFiniteSimplicialComplex(VS)``322241
ocoboundary`3`n`(_$,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``322393
ocode`1`n`(_$)->Union(nullBranch:"null",assignmentBranch:Record(var:Symbol,arrayIndex:List(Polynomial(Integer)),rand:Record(ints2Floats?:Boolean,expr:OutputForm)),arrayAssignmentBranch:Record(var:Symbol,rand:OutputForm,ints2Floats?:Boolean),conditionalBranch:Record(switch:Switch,thenClause:_$,elseClause:_$),returnBranch:Record(empty?:Boolean,value:Record(ints2Floats?:Boolean,expr:OutputForm)),blockBranch:List(_$),commentBranch:List(String),callBranch:String,forBranch:Record(range:SegmentBinding(--Polynomial(Integer)),span:Polynomial(Integer),body:_$),labelBranch:SingleInteger,loopBranch:Record(switch:Switch,body:_$),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``322461
ocoefChoose`3`n`(Integer,P,List(Record(factor:P,exponent:NonNegativeInteger)))->P`pMultivariateSquareFree(E,OV,R,P)``322558
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``322599
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``322718
ocoef`2`x`(_$,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``322855
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``322940
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``323073
ocoefficient`2`n`(_$,JB)->D`dJetDifferential(JB,D)``323121
ocoefficient`2`n`(_$,JB)->D`dJetVectorField(JB,D)``323229
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``323324
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``323400
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``323594
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``323816
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``323986
ocoefficient`2`x`(_$,M)->R`cMonoidRingCategory(R,M)``324112
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``324241
ocoefficient`2`x`(_$,S)->R`cFreeModuleCategory(R,S)``324317
ocoefficient`3`n`(S,List(Var),List(NonNegativeInteger))->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,Var,NonNegativeInteger)->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``324405
ocoefficient`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``324622
ocoefficient`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``324782
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``324932
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(D)`dJetDifferential(JB,D)``325022
ocoefficients`1`n`(_$)->List(D)`dJetVectorField(JB,D)``325091
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``325158
ocoefficients`1`n`(_$)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``325499
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``325655
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCategory(R,S)``325749
ocoefficients`1`x`(_$)->List(R)`cMonoidRingCategory(R,M)``325825
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``325888
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``326046
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``326109
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`326313
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`326634
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``326955
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``327082
ocoerceL`1`n`(OutputForm)->String`dTexmacsFormat``327211
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``327341
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``327635
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``327768
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``327982
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``328100
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``328220
ocoerce`1`n`((PositiveInteger)->Coef)->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xPoset&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``328295
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Complex(DoubleFloat))->_$`dSArgand``0
ocoerce`1`n`(Complex(Float))->_$`dMachineComplex``328382
ocoerce`1`n`(Complex(Integer))->_$`dMachineComplex``328448
ocoerce`1`n`(Complex(MachineFloat))->_$`dMachineComplex``328514
ocoerce`1`n`(Complex(MachineInteger))->_$`dMachineComplex``328580
ocoerce`1`n`(D)->_$`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->_$`dJetLazyFunction(JB,D)``328646
ocoerce`1`n`(E)->_$`dXPolynomialRing(R,E)``328801
ocoerce`1`n`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``328844
ocoerce`1`n`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``328885
ocoerce`1`n`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``328926
ocoerce`1`n`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``328967
ocoerce`1`n`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329008
ocoerce`1`n`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329049
ocoerce`1`n`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329090
ocoerce`1`n`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``329130
ocoerce`1`n`(Expression(Integer))->Expression(_$)`dMachineInteger``329170
ocoerce`1`n`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``329243
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``329283
ocoerce`1`n`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``329323
ocoerce`1`n`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``329363
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``329403
ocoerce`1`n`(FinitePoset(S))->_$`dDirectedGraph(S)``329490
ocoerce`1`n`(FinitePoset(S))->_$`dUndirectedGraph(S)``329532
ocoerce`1`n`(FinitePoset(S))->_$`dWeightedGraph(S,W)``329574
ocoerce`1`n`(FortranCode)->_$`cFortranFunctionCategory``329616
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixCategory``329733
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixFunctionCategory``329850
ocoerce`1`n`(FortranCode)->_$`cFortranVectorCategory``329967
ocoerce`1`n`(FortranCode)->_$`cFortranVectorFunctionCategory``330084
ocoerce`1`n`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``330201
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``330242
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``330304
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(JB)->_$`cJetBundleFunctionCategory(JB)``330446
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``330528
ocoerce`1`n`(LatticeMeetOfJoins)->_$`dLatticeJoinOfMeets``331254
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``331313
ocoerce`1`n`(List(FortranCode))->_$`cFortranFunctionCategory``331355
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixCategory``331477
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``331599
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorCategory``331721
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorFunctionCategory``331843
ocoerce`1`n`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``331965
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``332007
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``332278
ocoerce`1`n`(List(S))->_$`dDirectedGraph(S)``332790
ocoerce`1`n`(List(_$))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(MachineInteger)->_$`dMachineFloat``332825
ocoerce`1`n`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``332897
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``332974
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``333061
ocoerce`1`n`(OutputForm)->String`dTexmacsFormat``333150
ocoerce`1`n`(OutputForm)->_$`dScriptFormulaFormat``333240
ocoerce`1`n`(OutputForm)->_$`dTexFormat``333337
ocoerce`1`n`(P)->_$`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``333423
ocoerce`1`n`(PermutationGroup(S))->_$`dDirectedGraph(S)``333522
ocoerce`1`n`(PermutationGroup(S))->_$`dMultifunctionGraph(S)``333569
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->_$`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``333661
ocoerce`1`n`(PrimitiveArray(S))->_$`dTuple(S)``333790
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(R)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(R)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(R)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(R)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(R)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Record(index:IS,exponent:E))->_$`dModuleMonomial(IS,E,ff)``333851
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``333889
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``334081
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``334273
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``334465
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``334657
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``334849
ocoerce`1`n`(Rep)->_$`dModMonic(R,Rep)``334889
ocoerce`1`n`(S)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(S)->A`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(S)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(S)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(S)->Expression(Integer)`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xAssociationListAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->OutputForm`xFunctionSpace&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->OutputForm`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xNonAssociativeRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xOctonionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->OutputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->OutputForm`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xStringAggregate&(S)``0
ocoerce`1`n`(S)->OutputForm`xTableAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(S)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->ScriptFormulaFormat`pScriptFormulaFormat1(S)``334927
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->_$`cCoercibleFrom(S)``335200
ocoerce`1`n`(S)->_$`dMakeCachableSet(S)``335260
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``335329
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``335774
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``336094
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(_$)`dJetBundleLinearFunction(JB,D)``336176
ocoerce`1`n`(SparseMultivariatePolynomial(Expression(Integer),JB))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Stream(Coef))->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(R))->_$`cSequenceCategory(R)``336224
ocoerce`1`n`(String)->_$`dFortranScalarType``336269
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``336558
ocoerce`1`n`(Symbol)->_$`dJetBundle(IVar,DVar)``336823
ocoerce`1`n`(Symbol)->_$`dJetBundleSymAna(JB1,xi,eta)``336979
ocoerce`1`n`(Symbol)->_$`dSwitch``337053
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``337093
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``337231
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``337369
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)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``337478
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``337543
ocoerce`1`n`(Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``337583
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``337672
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``337761
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``337863
ocoerce`1`n`(Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``337952
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``338041
ocoerce`1`n`(Variable(x))->_$`dUnivariateSkewPolynomial(x,R,sigma,delta)``338143
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``338206
ocoerce`1`n`(Vector(MachineFloat))->_$`cFortranVectorCategory``338380
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``338457
ocoerce`1`n`(_$)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(_$)->Complex(Float)`dMachineComplex``338598
ocoerce`1`n`(_$)->D`dJetLazyFunction(JB,D)``338663
ocoerce`1`n`(_$)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``338869
ocoerce`1`n`(_$)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``338921
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleExpression(JB)``0
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleXExpression(JB)``0
ocoerce`1`n`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``338976
ocoerce`1`n`(_$)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``339016
ocoerce`1`n`(_$)->Float`dMachineFloat``339077
ocoerce`1`n`(_$)->FreeMagma(VarSet)`dLyndonWord(VarSet)``339147
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``339250
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``339378
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``339482
ocoerce`1`n`(_$)->LatticeMeetOfJoins`dLatticeJoinOfMeets``339633
ocoerce`1`n`(_$)->List(Integer)`dPartition``339692
ocoerce`1`n`(_$)->List(String)`dXmlElement``339760
ocoerce`1`n`(_$)->List(Vector(R))`dVectorSpaceBasis(R)``339958
ocoerce`1`n`(_$)->Matrix(D)`dSparseEchelonMatrix(C,D)``340021
ocoerce`1`n`(_$)->Matrix(R)`dRectangularMatrix(m,n,R)``340098
ocoerce`1`n`(_$)->Matrix(R)`dSquareMatrix(ndim,R)``340212
ocoerce`1`n`(_$)->OutputForm`cSPointCategory``340325
ocoerce`1`n`(_$)->OutputForm`dFortranCode``340339
ocoerce`1`n`(_$)->OutputForm`dFortranType``340401
ocoerce`1`n`(_$)->OutputForm`dGraphImage``340464
ocoerce`1`n`(_$)->OutputForm`dJetDifferentialEquation(JB,D)``340626
ocoerce`1`n`(_$)->OutputForm`dSBoundary(PT)``340724
ocoerce`1`n`(_$)->OutputForm`dSTransform(PT)``340800
ocoerce`1`n`(_$)->OutputForm`dScene(PT)``340832
ocoerce`1`n`(_$)->OutputForm`dSceneIFS(PT)``341076
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``341140
ocoerce`1`n`(_$)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``341322
ocoerce`1`n`(_$)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``341380
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``341453
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``341491
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``341529
ocoerce`1`n`(_$)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``341567
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``341605
ocoerce`1`n`(_$)->S`cRetractableFrom(S)``341686
ocoerce`1`n`(_$)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->String`dFortranScalarType``341752
ocoerce`1`n`(_$)->String`dXmlAttribute``341830
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``341883
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``341951
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``341994
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``342051
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``342124
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``342194
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``342267
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``342335
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``342418
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``342582
ocoerce`1`x`(Character)->_$`cStringAggregate``342740
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``342831
ocoerce`1`x`(Color)->_$`dPalette``342908
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``343012
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``343071
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``343156
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``343313
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``343774
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``344238
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``344305
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``344597
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`344747
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`344809
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``344871
ocoerce`1`x`(Integer)->_$`dOrdSetInts``344951
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``345021
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``345114
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``345438
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``345540
ocoerce`1`x`(List(Record(k:M,c:R)))->_$`cMonoidRingCategory(R,M)``345630
ocoerce`1`x`(List(S))->_$`dDataList(S)``345724
ocoerce`1`x`(List(S))->_$`dDatabase(S)``345781
ocoerce`1`x`(List(S))->_$`dPermutation(S)``345836
ocoerce`1`x`(List(S))->_$`dStream(S)``346064
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``346126
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``346216
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``346285
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``346411
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`346512
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``346574
ocoerce`1`x`(R)->_$`cAlgebra(R)``346660
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``346743
ocoerce`1`x`(R)->_$`cXAlgebra(R)``346833
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``346876
ocoerce`1`x`(R)->_$`dOrdinaryDifferentialRing(Kernels,R,var)``346942
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``347027
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``347130
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``347211
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``347438
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``347773
ocoerce`1`x`(S)->_$`cRetractableTo(S)``347869
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``347929
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``348004
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``348138
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`348210
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``348272
ocoerce`1`x`(String)->_$`cFileNameCategory``348331
ocoerce`1`x`(String)->_$`dIndexCard``348441
ocoerce`1`x`(String)->_$`dSymbol``348597
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``348663
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``348895
ocoerce`1`x`(ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``348958
ocoerce`1`x`(UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``349046
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``349133
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``349210
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``349272
ocoerce`1`x`(Variable(x))->_$`dUnivariatePolynomial(x,R)``349361
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``349444
ocoerce`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``349651
ocoerce`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``349725
ocoerce`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``349800
ocoerce`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``349879
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``349953
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``350055
ocoerce`1`x`(_$)->List(S)`dDataList(S)``350126
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``350191
ocoerce`1`x`(_$)->OutputForm`dVoid``350276
ocoerce`1`x`(_$)->R`dOrdinaryDifferentialRing(Kernels,R,var)``350335
ocoerce`1`x`(_$)->RadixExpansion(10)`dDecimalExpansion``350419
ocoerce`1`x`(_$)->RadixExpansion(16)`dHexadecimalExpansion``350507
ocoerce`1`x`(_$)->RadixExpansion(2)`dBinaryExpansion``350599
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``350685
ocoerce`1`x`(_$)->String`cFileNameCategory``350751
ocoerce`1`x`(_$)->Tree(S)`dPendantTree(S)``350863
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``350901
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``350969
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``351037
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``351079
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``351224
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocolinearity`2`n`(_$,_$)->DoubleFloat`cSPointCategory``352041
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``352263
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``352387
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``352521
ocollect`1`n`(_$)->_$`dJetLazyFunction(JB,D)``352658
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``352751
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``352873
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``353188
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``353371
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``353585
ocolor`1`n`(Point(R))->R`pPointPackage(R)``353821
ocolor`1`x`(Integer)->_$`dColor``354134
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``354204
ocolumnSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``354321
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`354546
ocolumnSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`354663
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``354781
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``354910
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``355035
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``355137
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``355239
ocomment`1`n`(List(String))->_$`dFortranCode``355334
ocomment`1`n`(String)->_$`dFortranCode``355441
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``355543
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``355667
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``355774
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``355898
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommon`2`n`(Symbol,List(Symbol))->_$`dFortranCode``356001
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``356087
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``356171
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``356255
ocommutator`2`x`(_$,_$)->_$`cGroup``356336
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``356410
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``356467
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``356712
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``356762
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``356963
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``357148
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Integer`pMultivariateSquareFree(E,OV,R,P)``357415
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``357454
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``357791
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``357984
ocomplementSpace`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``358204
ocomplementSpace`1`n`(_$)->_$`dVectorSpaceBasis(R)``358363
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->_$`dVectorSpaceBasis(R)``358527
ocomplementSpace`2`n`(_$,NonNegativeInteger)->_$`dVectorSpaceBasis(R)``358738
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(_$)->_$`dSubsetLattice(S,top)``358963
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`358988
ocomplement`2`n`(_$,List(S))->_$`dSubsetLattice(S,top)``359119
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``359144
ocomplete2`1`n`(JetDifferentialEquation(JB,D))->Record(IDe:JetDifferentialEquation(JB,D),ISys:List(D),Order:NonNegativeInteger,NumProj:NonNegativeInteger,Dim:NonNegativeInteger,CarChar:List(NonNegativeInteger))`pCartanKuranishi(JB,D)``359282
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`359584
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``359795
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``360188
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``360461
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``360671
ocompleteReflexivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteReflexivity`1`n`(_$)->_$`cPoset(S)``360840
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``361022
ocompleteSmith`2`n`(Matrix(Integer),(Matrix(Integer))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer)))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer))`pIntegerSmithNormalForm``361219
ocompleteTransitivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteTransitivity`1`n`(_$)->_$`cPoset(S)``361435
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``361633
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``361811
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``362050
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``362197
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``362261
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``362410
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``362663
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``362705
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``362797
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``363032
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``363387
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``363534
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``363681
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``363867
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``364053
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``364149
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``364245
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``364309
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``364373
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`364498
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``364623
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``364720
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``364847
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``364974
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``365090
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``365206
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``365346
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365486
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365613
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`365740
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`365867
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`365994
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`366119
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366246
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366408
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`366570
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`366732
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`366864
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`367026
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))`367916
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`368028
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`368140
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`368252
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`368333
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`368445
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``368557
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``368669
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``368853
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``369169
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``369403
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``369619
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``369848
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``370066
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``370265
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``370400
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``370607
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``370666
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``371003
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``371511
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``371862
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``372103
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``372200
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`372408
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`372534
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``372643
ocompound`2`n`(_$,_$)->_$`dSTransform(PT)``372992
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``373050
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``373278
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``373463
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``373632
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``374052
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``374096
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`374186
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`374326
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``374464
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`374571
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`x`(List(_$))->_$`cLinearAggregate(S)``374661
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``374978
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`x`(S,_$)->_$`cLinearAggregate(S)``375117
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``375279
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``375469
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``375631
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``375890
ocond`2`n`(Switch,_$)->_$`dFortranCode``376059
ocond`3`n`(Switch,_$,_$)->_$`dFortranCode``376166
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`376292
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``376561
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`376632
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``376808
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``376985
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`377162
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``377379
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``377597
ocone`2`n`(_$,NonNegativeInteger)->_$`dFiniteSimplicialComplex(VS)``377679
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``377904
oconj`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``378242
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`378406
oconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``378461
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`n`(_$)->_$`dPartition``378545
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``378628
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``378701
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``378776
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``378934
oconjugate`1`x`(_$)->_$`cSpecialFunctionCategory``379013
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``379075
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``379178
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``379286
oconsRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``379570
ocons`2`n`(R,_$)->_$`cSequenceCategory(R)``379661
ocons`2`x`(S,_$)->_$`dList(S)``379729
ocons`2`x`(S,_$)->_$`dStream(S)``379900
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``380054
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconst?`1`n`(_$)->Boolean`cJetBundleFunctionCategory(JB)``380095
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``380169
oconst`1`n`(_$)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``380409
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``380542
oconstant?`1`n`(_$)->Boolean`dPattern(R)``380646
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``380723
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``380821
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``380893
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``381359
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``381404
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``381450
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``381553
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``381699
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``381814
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``381918
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``382144
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``382543
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``382607
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``382700
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``382864
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``382992
oconstructOrdered`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`383057
oconstruct`1`n`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``383489
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``383588
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``383747
oconstruct`1`n`(List(S))->A`xBagAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``383849
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``383934
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``384234
oconstruct`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``384289
oconstruct`1`x`(List(S))->_$`cCollection(S)``384446
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``384707
oconstruct`2`n`(A,B)->_$`dProduct(A,B)``384774
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``384869
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``384915
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``384988
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``385061
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``385155
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``385219
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``385305
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``385397
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``385470
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``385552
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``385624
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``385696
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``385820
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``386016
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``386187
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->_$`dDistribution(R)``386400
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``386697
ocontainsPoint?`2`n`(_$,PT)->Boolean`dSBoundary(PT)``386830
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``386985
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`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`387071
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`387161
ocontinue`1`n`(SingleInteger)->_$`dFortranCode``387459
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``387555
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``387667
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``387779
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``387927
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``388171
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``388287
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``388403
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``388677
ocontract`2`n`(JetVectorField(JB,D),_$)->D`dJetDifferential(JB,D)``388975
ocontract`2`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``389079
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``389181
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``389542
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``390023
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``390266
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``390513
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xCollection&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``390697
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(JetBundlePolynomial(R,JB))->_$`dDistributedJetBundlePolynomial(R,JB,LJV,E)``390778
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``390912
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``391195
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``391478
oconvert`1`n`(List(_$))->_$`dPattern(R)``391579
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xFinite&(S)``0
oconvert`1`n`(S)->InputForm`xFramedModule&(S,R)``0
oconvert`1`n`(S)->InputForm`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->InputForm`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->InputForm`xQuaternionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Float)`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Pattern(Integer)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->String`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->_$`cConvertibleFrom(S)``391666
oconvert`1`n`(SExpression)->_$`dInputForm``391724
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`xFramedModule&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
oconvert`1`n`(Vector(R))->_$`cFramedModule(R)``391784
oconvert`1`n`(_$)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``391935
oconvert`1`n`(_$)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(_$)->Vector(R)`cFramedModule(R)``392069
oconvert`1`x`(DoubleFloat)->_$`dFloat``392179
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`392270
oconvert`1`x`(Flt)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``392446
oconvert`1`x`(Int)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``392503
oconvert`1`x`(List(R))->_$`cPointCategory(R)``392560
oconvert`1`x`(List(_$))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``392686
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``392785
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``392829
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`392873
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`392937
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``393001
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`393045
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->_$`cSegmentCategory(S)``393109
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``393167
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``393211
oconvert`1`x`(SquareMatrix(n,R))->_$`dLieSquareMatrix(n,R)``393271
oconvert`1`x`(Str)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``393323
oconvert`1`x`(Sym)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``393380
oconvert`1`x`(Symbol)->_$`dRomanNumeral``393437
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``393507
oconvert`1`x`(_$)->S`cConvertibleTo(S)``393661
oconvert`2`n`(List(S),List(FreeGroup(S)))->GroupPresentation`pGroupPresentationFunctions1(S)``393728
oconvert`2`n`(OutputForm,Integer)->_$`cOutputFormatterCategory``393853
oconvert`2`n`(OutputForm,Integer)->_$`dScriptFormulaFormat``393982
oconvert`2`n`(OutputForm,Integer)->_$`dTexFormat``394259
oconvert`3`n`(OutputForm,Integer,OutputForm)->_$`dTexFormat``394525
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``394822
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``394954
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``394988
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``395193
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``395409
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``395630
ocoordinatesIfCan`2`n`(Vector(R),_$)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``395847
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`n`(Vector(_$))->Matrix(R)`cFramedModule(R)``396007
ocoordinates`1`n`(_$)->Vector(R)`cFramedModule(R)``396233
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``396347
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``396498
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``396724
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`n`(Vector(R),_$)->Vector(R)`dVectorSpaceBasis(R)``396844
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``396993
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``397152
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``397394
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``397621
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``397735
ocopies`2`x`(Integer,String)->String`pDisplayPackage``397894
ocoproduct`1`x`(_$)->MxM`cCoalgebra(R,MxM)``398016
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``398089
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`398235
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``398359
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``398487
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`dJetDifferential(JB,D)``398664
ocopy`1`n`(_$)->_$`dJetDifferentialEquation(JB,D)``398733
ocopy`1`n`(_$)->_$`dJetVectorField(JB,D)``398798
ocopy`1`n`(_$)->_$`dPattern(R)``398865
ocopy`1`n`(_$)->_$`dSparseEchelonMatrix(C,D)``398925
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``398986
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``399036
ocopy`1`x`(_$)->_$`cAggregate``399072
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``399206
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``399254
ocopy`1`x`(_$)->_$`dBasicOperator``399347
ocorrPoly`6`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),(SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``399399
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``399863
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``399961
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``400048
ocos`1`n`(E)->_$`dFourierComponent(E)``400298
ocos`1`n`(F)->F`pElementaryFunction(R,F)``400364
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)``400425
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``400492
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``400559
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``400627
ocos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``400697
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``400764
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``400817
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``400919
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``401008
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)``401081
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``401164
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``401247
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``401327
ocosh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``401409
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``401478
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``401543
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``401641
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``401745
ocot`1`n`(F)->F`pElementaryFunction(R,F)``401832
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)``401896
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``401966
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``402036
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``402107
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``402180
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``402236
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``402338
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``402447
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``402536
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)``402612
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``402698
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``402784
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``402867
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``402952
ocounit`1`x`(_$)->R`cCoalgebra(R,MxM)``403020
ocountRealRootsMultiple`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`403088
ocountRealRoots`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)``403195
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`x`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`403265
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`403466
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``403637
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocoverMatrix`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``403775
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``404170
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``404312
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``404454
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``404688
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``404888
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``405049
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``405402
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``405610
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``405730
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`406023
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``406294
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``406428
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``406651
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``406888
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``407126
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``407735
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``408161
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``408765
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``409201
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``409405
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``409874
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``410463
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``410574
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``410779
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``410919
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``411031
ocreateSceneArrow`6`n`(_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``412010
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``413355
ocreateSceneBox`1`n`(DoubleFloat)->_$`dScene(PT)``414293
ocreateSceneClip`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``414405
ocreateSceneClip`1`n`(SBoundary(PT))->_$`dScene(PT)``414530
ocreateSceneDef`2`n`(String,_$)->_$`dScene(PT)``414662
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``414771
ocreateSceneGrid`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``414863
ocreateSceneGrid`1`n`(SBoundary(PT))->_$`dScene(PT)``414988
ocreateSceneGrid`2`n`(DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``415141
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->_$`dScene(PT)``415266
ocreateSceneGroup`0`n`()->_$`dScene(PT)``415447
ocreateSceneIFS`1`n`(SceneIFS(PT))->_$`dScene(PT)``415570
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``415730
ocreateSceneLine`1`n`(List(PT))->_$`dScene(PT)``415897
ocreateSceneLine`3`n`(_$,_$,DoubleFloat)->_$`dScene(PT)``416161
ocreateSceneLine`4`n`(_$,_$,DoubleFloat,Boolean)->_$`dScene(PT)``416795
ocreateSceneLines`1`n`(List(List(PT)))->_$`dScene(PT)``417553
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``417810
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->_$`dScene(PT)``418185
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->_$`dScene(PT)``418514
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``418682
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``418807
ocreateSceneRoot`0`n`()->_$`dScene(PT)``419350
ocreateSceneRoot`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``419476
ocreateSceneRoot`1`n`(SBoundary(PT))->_$`dScene(PT)``419601
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->_$`dScene(PT)``419729
ocreateSceneRuler`3`n`(Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``419883
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->_$`dScene(PT)``420008
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``420259
ocreateSceneShape`1`n`(SBoundary(PT))->_$`dScene(PT)``420395
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``420547
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->_$`dScene(PT)``420697
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->_$`dScene(PT)``420809
ocreateSceneTransform`1`n`(STransform(PT))->_$`dScene(PT)``420956
ocreateSceneUse`1`n`(String)->_$`dScene(PT)``421188
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``421260
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``421419
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``421545
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``421671
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``421810
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``421949
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``422088
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``422227
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``422661
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``422697
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``422731
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``422768
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``422807
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``422841
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``422879
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``422913
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``422952
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``423175
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`423328
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``423464
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``423673
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``423771
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``423865
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)``423928
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``423997
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``424066
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``424136
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``424208
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``424263
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``424365
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``424454
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)``424529
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``424614
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``424699
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``424781
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``424865
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``424932
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``424986
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``425023
ocubicalComplex`1`n`(List(VS))->_$`dFiniteCubicalComplex(VS)``425075
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->_$`dFiniteCubicalComplex(VS)``425114
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->_$`dFiniteCubicalComplex(VS)``425162
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->_$`dFiniteCubicalComplex(VS)``425210
ocubicalFacet`2`n`(Integer,CubicalFacet)->_$`dCubicalFacet``425258
ocubicalFacet`2`n`(Integer,List(List(Integer)))->_$`dCubicalFacet``425303
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->_$`dCubicalFacet``425340
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``425521
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``425639
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``425833
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``425926
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``426031
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``426137
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``426232
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``426457
ocurveColor`1`x`(Float)->_$`dDrawOption``426686
ocurveColor`1`x`(Palette)->_$`dDrawOption``426829
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``426999
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``427086
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``427288
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``427527
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``427631
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``428001
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``428178
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleClosed`2`n`(List(S),String)->_$`cFiniteGraph(S)``428304
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``428558
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``428705
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``428840
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleOpen`2`n`(List(S),String)->_$`cFiniteGraph(S)``428980
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``429332
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``429475
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`429709
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``430090
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``430182
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``430409
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`(_$)->Boolean`cRecursiveAggregate(S)``430739
ocyclic?`1`x`(_$)->Boolean`dTree(S)``430795
ocyclicCopy`1`x`(_$)->_$`dTree(S)``430856
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``430935
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``431019
ocyclicGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``431107
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``431227
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``431416
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``431536
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`431622
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``432263
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``432359
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``432455
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``432551
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``432702
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``432905
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``433005
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``433151
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``433291
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``433528
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetDifferential(JB,D)``433967
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odSubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``434040
odU`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``434212
odX`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``434273
od`1`n`(D)->_$`dJetDifferential(JB,D)``434334
od`1`n`(JB)->_$`dJetDifferential(JB,D)``434392
odanilewski`1`n`(Matrix(F))->Record(matrix:Matrix(F),block_list:List(Integer))`pCharacteristicPolynomial2(F)``434451
odark`1`x`(Color)->_$`dPalette``434588
odatalist`1`x`(List(S))->_$`dDataList(S)``434687
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``434746
oddfact`2`n`(U32Vector,Integer)->List(Record(poly:U32Vector,degree:NonNegativeInteger,separate_factors:()->List(U32Vector)))`pModularFactorization``0
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``435038
odebug`1`n`(Boolean)->Boolean`dPlot``435131
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``435218
odebug`1`x`(Boolean)->_$`dGuessOption``435326
odecFatal`0`n`()->Void`pUnittestCount``435466
odecXfFatal`0`n`()->Void`pUnittestCount``435577
odecXfPass`0`n`()->Void`pUnittestCount``435628
odec`1`x`(_$)->_$`cIntegerNumberSystem``435804
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``435847
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``435923
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``436050
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``436167
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``436267
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``436377
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``436523
odeclare`1`n`(List(_$))->Symbol`dInputForm``436668
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``437017
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`437256
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``437387
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``437471
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``437831
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`438039
odeductions`1`n`(List(_$))->List(_$)`dILogic``438179
odeductions`1`n`(List(_$))->List(_$)`dLatticeJoinOfMeets``438565
odeductions`1`n`(List(_$))->List(_$)`dLatticeMeetOfJoins``438951
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``439337
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepDiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``0
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``439377
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``439466
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``439613
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``439852
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``440337
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``440480
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``440621
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``440715
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`440817
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``440960
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`441072
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``441166
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``441331
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``441619
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``441788
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``441878
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(U32Vector)->Integer`pU32VectorPolynomialOperations``441928
odegree`1`n`(_$)->Expon`cSolvableSkewPolynomialCategory(R,Expon)``441996
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``442083
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``442121
odegree`1`n`(_$)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``442189
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``442277
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``442446
odegree`1`x`(_$)->E`cGradedModule(R,E)``442533
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``442654
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``442737
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``442878
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``443005
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``443095
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``443185
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``443301
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``443388
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``443491
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``443680
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(MP,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``443804
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``443887
odegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``443995
odegree`2`n`(_$,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(_$,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``444135
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``444243
odehomogenize`1`n`(List(Record(ratpart:F,coeffs:Vector(F))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pLinearCombinationUtilities(F,UP)``444425
odelay`1`x`(()->_$)->_$`dStream(S)``444885
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`x`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``445038
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``445126
odeleteProperty!`2`x`(_$,Symbol)->_$`dBasicOperator``445235
odeleteRow!`2`n`(_$,Integer)->Void`dSparseEchelonMatrix(C,D)``445399
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)``445490
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``445658
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->_$`dDeltaComplex(VS)``445847
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->_$`dDeltaComplex(VS)``445942
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->_$`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->_$`dDeltaComplex(VS)``446042
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``446094
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``446163
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``446318
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``446548
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``446752
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``447076
odenom`1`n`(_$)->R`dLocalAlgebra(A,R)``447139
odenom`1`n`(_$)->R`dLocalize(M,R)``447198
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``447257
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``447330
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`447442
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``447554
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`447619
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``447701
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``447791
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``447993
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``448055
odequeue`1`x`(List(S))->_$`dDequeue(S)``448248
oderef`1`n`(_$)->S`dReference(S)``448434
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``448489
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``448685
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`448768
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
oderivativeOf?`2`n`(_$,_$)->List(NonNegativeInteger)`cJetBundleCategory``448856
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``449060
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``449186
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``449438
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``449778
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt)``449897
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``449982
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``450140
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``450298
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``450481
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``450709
odet_via_common_denominator`1`n`(Matrix(Fraction(R)))->Fraction(R)`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`450953
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``451031
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``451166
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`451301
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`451414
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``451491
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``451586
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``451780
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(M)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`451974
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``452115
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``452220
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``452325
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``452886
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`452999
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``453225
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``453333
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``453442
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``453549
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramHeight`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``453893
odiagramSvg2`3`n`(String,_$,Boolean)->Void`dUndirectedGraph(S)``454055
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``454395
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``454674
odiagramsSvg`3`n`(String,List(A),Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(_$),Boolean)->Void`cFiniteGraph(S)``454834
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``455098
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)``455181
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativ--eInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeI--nteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
odiffHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,--NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(No--nNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kin--d:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``455298
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Str--eam(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),No--nNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteg--er)->List(Integer))`pGuessInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiva--riatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInte--ger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fr--action(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(In--teger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(--EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`455413
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Sy--mbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(I--nteger),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNeg--ativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(Spa--rseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNe--gativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePol--ynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Exp--ression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetVectorField(JB,D)``455547
odiffU`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``455638
odiffX`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``455717
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiff`1`n`(JB)->_$`dJetVectorField(JB,D)``455796
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``455873
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(_$,S)->_$`cSetAggregate(S)``455944
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``456176
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``456541
odifferentials`1`n`(_$)->List(JB)`dJetDifferential(JB,D)``456675
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(_$)->_$`cDifferentialRing``456777
odifferentiate`1`x`(_$)->_$`cDifferentialVariableCategory(S)``456933
odifferentiate`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``457000
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,List(Symbol))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,List(Symbol))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(V))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,Symbol)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,Symbol)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,(R)->R)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,(R)->R)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,(R)->R)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,(UP)->UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(SingletonAsOrderedSet))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,List(Symbol))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFiniteFieldCategory&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xIntegerNumberSystem&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,PositiveInteger)->Union(S,"0")`xJetBundleCategory&(S)``0
odifferentiate`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,Symbol)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,Symbol)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``457067
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``457102
odifferentiate`2`n`(_$,JB)->_$`cJetBundleFunctionCategory(JB)``457205
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``457318
odifferentiate`2`n`(_$,PositiveInteger)->Union(_$,"0")`cJetBundleCategory``457502
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`457620
odifferentiate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``457707
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``457810
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``457913
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``458017
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``458120
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``458223
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``458327
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``458435
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``458545
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``458712
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``458796
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``458880
odifferentiate`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``458964
odifferentiate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``459070
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(V),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,V,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(S,(Fraction(UP))->Fraction(UP),NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionSpace&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionSpace&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(U32Vector,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``459173
odifferentiate`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``459208
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`459350
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``459537
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``459669
odiffextint`3`n`((List(UP))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``459830
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``459973
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``460047
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``460169
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``460244
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``460366
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``460441
odigit?`1`x`(_$)->Boolean`dCharacter``460564
odigit`0`x`()->_$`dCharacterClass``460661
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``460777
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``460854
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``460931
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`461028
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``461125
odihedralGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``461203
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``461317
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``461511
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``461625
odilate`2`n`(R,_$)->_$`cSequenceCategory(R)``461725
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``461823
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``461870
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``461911
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``462035
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``462132
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``462229
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``462341
odim`1`x`(Color)->_$`dPalette``462453
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``462545
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``462773
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``462847
odimension`1`n`(_$)->NonNegativeInteger`dCell(TheField)``462905
odimension`1`n`(_$)->PositiveInteger`cSPointCategory``462962
odimension`1`x`(_$)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``463064
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``463215
odimension`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``463296
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``463510
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimension`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``463617
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``463797
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``463862
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``464322
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``464786
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``464963
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``465094
odirectProduct`2`n`(_$,_$)->_$`dGroupPresentation``465231
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`465273
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``465470
odirectedGraph`1`n`(FinitePoset(S))->_$`dDirectedGraph(S)``465707
odirectedGraph`1`n`(List(Permutation(S)))->_$`dDirectedGraph(S)``465862
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dDirectedGraph(S)``465957
odirectedGraph`1`n`(List(S))->_$`dDirectedGraph(S)``466104
odirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dDirectedGraph(S)``466380
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dDirectedGraph(S)``466531
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dDirectedGraph(S)``466634
odirection`1`n`(String)->Integer`pToolsForSign(R)``466821
odirections`1`n`(_$)->List(JB)`dJetVectorField(JB,D)``466862
odirectory`1`x`(_$)->String`cFileNameCategory``466979
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``467051
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``467180
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``467280
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``467395
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``467539
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``467598
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``467657
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``467725
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`467829
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`467912
odispGenerators`1`n`(_$)->OutputForm`dHomology``468037
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``468081
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``468113
odisplayKind`1`x`(Symbol)->_$`dGuessOption``468307
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``468501
odisplay`1`n`(String)->Void`dHTMLFormat``468531
odisplay`1`n`(String)->Void`dMathMLFormat``468594
odisplay`1`n`(String)->Void`dTexmacsFormat``468665
odisplay`1`n`(_$)->Void`cOutputFormatterCategory``468736
odisplay`1`n`(_$)->Void`dJetDifferentialEquation(JB,D)``468788
odisplay`1`n`(_$)->Void`dScriptFormulaFormat``469136
odisplay`1`n`(_$)->Void`dTexFormat``469316
odisplay`1`x`(_$)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``469500
odisplay`1`x`(_$)->Void`dDatabase(S)``469622
odisplay`1`x`(_$)->Void`dIndexCard``469699
odisplay`2`n`(_$,Integer)->Void`dScriptFormulaFormat``469785
odisplay`2`n`(_$,Integer)->Void`dTexFormat``469923
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``470065
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``470294
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:NonNegativeInteger))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``470531
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``471062
odistanceSquared`2`n`(_$,_$)->DoubleFloat`cSPointCategory``471605
odistanceWeighted`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``471869
odistance`2`n`(A,A)->Integer`xBinaryTreeCategory&(A,S)``0
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
odistance`2`n`(_$,_$)->DoubleFloat`cSPointCategory``471945
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``472238
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xPoset&(A,S)``0
odistance`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``472338
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:NonNegativeInteger)))`pDistinctDegreeFactorize(F,FP)``472542
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``472760
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``473088
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``473206
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``473445
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``473628
odistributionByBooleanCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``473863
odistributionByBooleanCumulants`1`x`(Stream(R))->_$`dDistribution(R)``473977
odistributionByClassicalCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``474091
odistributionByClassicalCumulants`1`x`(Stream(R))->_$`dDistribution(R)``474202
odistributionByEvenMoments`1`x`(Sequence(R))->_$`dDistribution(R)``474313
odistributionByEvenMoments`1`x`(Stream(R))->_$`dDistribution(R)``474438
odistributionByFreeCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``474563
odistributionByFreeCumulants`1`x`(Stream(R))->_$`dDistribution(R)``474671
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->_$`dDistribution(R)``474779
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->_$`dDistribution(R)``474907
odistributionByMoments`1`x`(Sequence(R))->_$`dDistribution(R)``475035
odistributionByMoments`1`x`(Stream(R))->_$`dDistribution(R)``475130
odistributionByMonotoneCumulants`1`x`(Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`475225
odistributionByMonotoneCumulants`1`x`(Stream(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`475341
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`475457
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``475574
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`475725
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``475842
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``475999
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``476027
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``476262
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``476604
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dFreeMonoid(S)``476746
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``476971
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``477084
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``477319
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``477405
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``477776
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``478227
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``478301
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``478372
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``478487
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``478665
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``478987
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``479057
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``479117
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``479177
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``479237
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``479326
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``479412
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``479654
odo_modular_solve`6`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,U32Vector,Integer,Symbol)->Union(Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_param_RDE`5`n`(F,F,List(F),Symbol,List(Kernel(F)))->Union(Record(ratpart:F,coeffs:Vector(F)),"failed")`pElementaryRischDEX2(R,F)``479719
odo_poly_integer`8`n`(List(Symbol),List(PrimitiveArray(Fraction(Polynomial(Integer)))),Vector(Integer),NonNegativeInteger,U32Vector,Symbol,Symbol,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:PrimitiveArray(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_quo`2`n`(PS,PS)->Union(PS,"failed")`dElementaryFunctionsGeneralizedUnivariatePowerSeries(Coef,Expon,PS)``0
odo_risch_DE`4`n`(F,F,Symbol,List(Kernel(F)))->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``480104
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``480401
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``480437
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``480491
odom`1`x`(_$)->SExpression`dAny``480545
odomainOf`1`x`(_$)->OutputForm`dAny``480671
odominantTerm`1`n`(_$)->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)``480795
odot`1`n`(_$)->_$`dOutputForm``481204
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``481265
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``481448
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`481529
odot`2`x`(_$,_$)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`481620
odouble?`1`n`(_$)->Boolean`dFortranScalarType``481775
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``481874
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``481994
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``482036
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``482111
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``482279
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``482469
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``482555
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``482778
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``483517
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``484376
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``484613
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``485045
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``485443
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``485529
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``485726
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``485812
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``485943
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``486093
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``486269
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``486412
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``486591
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``486767
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``487001
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``487199
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``487453
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``487677
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``487915
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``488125
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``488441
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``488712
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``488981
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``489149
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``489385
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``489654
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``489983
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``490269
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``490622
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``490922
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``491288
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``491595
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``491912
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``492115
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``492479
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``492724
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``493122
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``493597
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``493655
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``493704
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``493758
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``493839
oeFromBinaryMap`1`x`(NonNegativeInteger)->_$`dCliffordAlgebra(n,K,bLin)``493926
oePseudoscalar`0`x`()->_$`dCliffordAlgebra(n,K,bLin)``494129
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,bLin)``494154
oee`1`x`(List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``494311
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``494352
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``494610
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`494755
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`494832
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``494909
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``495140
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``495271
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`495402
oeigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`495764
oeigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``496123
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``496543
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``496712
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``496871
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``496995
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``497145
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``497229
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``497329
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``497438
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``497562
oelimZeroCols!`1`n`(_$)->Void`dSparseEchelonMatrix(C,D)``497654
oellipseBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``497790
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``498029
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``498306
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``498458
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``498538
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``498619
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``498699
oellipticE`1`x`(_$)->_$`cSpecialFunctionCategory``498780
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``498933
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`499097
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``499200
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``499288
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``499376
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``499464
oellipticE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``499552
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``499717
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`499881
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``499984
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``500071
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``500158
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``500245
oellipticF`2`x`(_$,_$)->_$`cSpecialFunctionCategory``500332
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``500497
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``500648
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``500735
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``500815
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``500900
oellipticK`1`x`(_$)->_$`cSpecialFunctionCategory``500980
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``501132
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`501319
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``501429
oellipticPi`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``501522
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``501615
oellipticPi`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``501708
oellipticPi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``501801
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``501989
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``502102
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``502215
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``502348
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``502481
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``502614
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``502747
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``502917
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``503066
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``503192
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``503318
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`10`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``503544
oelt`1`n`(_$)->S`dReference(S)``503757
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``503807
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)``503868
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`(_$,Integer)->R`cSequenceCategory(R)``503947
oelt`2`n`(_$,List(_$))->_$`dOutputForm``504020
oelt`2`n`(_$,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``504122
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``504183
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``504350
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`504450
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`504588
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``504739
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``504807
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``504904
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``504998
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``505092
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``505186
oelt`2`x`(_$,"sort")->_$`dDataList(S)``505283
oelt`2`x`(_$,"unique")->_$`dDataList(S)``505373
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``505483
oelt`2`x`(_$,D)->I`cEltable(D,I)``505580
oelt`2`x`(_$,DirectProduct(n,K))->K`dQuadraticForm(n,K)``505741
oelt`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``505853
oelt`2`x`(_$,Integer)->R`cFramedNonAssociativeAlgebra(R)``506009
oelt`2`x`(_$,Integer)->R`dCartesianTensor(minix,dim,R)``506132
oelt`2`x`(_$,Integer)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``506196
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``506264
oelt`2`x`(_$,List(Integer))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``506351
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``506447
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``506585
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``506669
oelt`2`x`(_$,S)->S`cPermutationCategory(S)``506754
oelt`2`x`(_$,Symbol)->Any`dLibrary``506843
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``506976
oelt`2`x`(_$,Symbol)->String`dIndexCard``507060
oelt`2`x`(_$,_$)->_$`cStringAggregate``507252
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(_$,Integer,C)->D`dSparseEchelonMatrix(C,D)``507468
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``507595
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``507726
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``507862
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``508010
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``508137
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``508272
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``508440
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``508614
oelt`3`x`(_$,Integer,List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``508683
oelt`3`x`(_$,Integer,List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``508967
oelt`3`x`(_$,List(Integer),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``509174
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``509458
oelt`3`x`(_$,List(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``509835
oelt`3`x`(_$,List(Segment(Integer)),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``509977
oelt`3`x`(_$,List(Segment(Integer)),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510184
oelt`3`x`(_$,List(Segment(Integer)),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510383
oelt`3`x`(_$,Segment(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510581
oelt`3`x`(_$,Segment(Integer),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510723
oelt`3`x`(_$,Segment(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510921
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``511063
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``511143
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``511304
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``511378
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``511597
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,_$,_$,_$,_$)->_$`cExpressionSpace``511814
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``512002
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`6`x`(BasicOperator,_$,_$,_$,_$,_$)->_$`cExpressionSpace``512081
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`7`x`(BasicOperator,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``512226
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`8`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``512388
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`9`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``512567
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``512763
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`n`(_$)->Boolean`cFacetCategory``512867
oempty?`1`n`(_$)->Boolean`dLatticeJoinOfMeets``512936
oempty?`1`n`(_$)->Boolean`dLatticeMeetOfJoins``512964
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``512992
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``513116
oempty?`1`n`(_$)->Boolean`dXmlElement``513205
oempty?`1`x`(_$)->Boolean`cAggregate``513292
oemptyLattice`0`n`()->_$`dLatticeJoinOfMeets``513350
oemptyLattice`0`n`()->_$`dLatticeMeetOfJoins``513384
oempty`0`n`()->_$`dOutputForm``513418
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``513463
oempty`0`n`()->_$`dSplittingNode(V,C)``513523
oempty`0`n`()->_$`dSymbolTable``513612
oempty`0`n`()->_$`dTheSymbolTable``513670
oempty`0`x`()->_$`cAggregate``513729
oempty`1`n`(Integer)->_$`dVectorIntegerReconstructor``513921
oempty`2`n`(Integer,Integer)->_$`dVectorModularReconstructor``513987
oendOfFile?`1`x`(_$)->Boolean`dTextFile``514085
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``514258
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``514353
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``514442
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``514637
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``514896
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`n`(_$)->List(NonNegativeInteger)`dLoop``515114
oentries`1`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``515184
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,finiteAggregate),has(Entry,BasicType))`515286
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``515378
oenumerate`0`x`()->List(_$)`cFinite``515474
oepilogue`1`n`(_$)->List(String)`dScriptFormulaFormat``515537
oepilogue`1`n`(_$)->List(String)`dTexFormat``515625
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``515705
oeqRep?`2`n`(_$,_$)->Boolean`dJetLazyFunction(JB,D)``515780
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``515981
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``516073
oequation`2`x`(S,S)->_$`dEquation(S)``516377
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``516429
oequation`2`x`(Symbol,String)->_$`dQueryEquation``516604
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``516660
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``516708
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``516756
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``516804
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``516957
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``517010
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``517063
oerfi`1`x`(_$)->_$`cLiouvillianFunctionCategory``517116
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``517169
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``517242
oerror`1`x`(List(String))->Exit`pErrorFunctions``517322
oerror`1`x`(String)->Exit`pErrorFunctions``517399
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``517474
oerror`2`x`(String,String)->Exit`pErrorFunctions``517638
oescape`0`x`()->_$`dCharacter``517806
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``517947
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``518104
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``518439
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``518746
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`(_$)->NonNegativeInteger`cEuclideanDomain``518931
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`519042
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``519133
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``519350
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``519672
oeval1`1`n`(_$)->_$`dJetLazyFunction(JB,D)``519825
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->MP`cModularEvaluationCategory(PT,MP)``519937
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``520078
oeval1`4`n`(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``520277
oeval1a`3`n`(MP,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`cModularEvaluationCategory(PT,MP)``520497
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``520641
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``520878
oeval`1`n`(_$)->_$`dJetLazyFunction(JB,D)``521052
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``521159
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``521229
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``521457
oeval`2`n`(_$,D)->D`dJetVectorField(JB,D)``521604
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``521691
oeval`2`n`(_$,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``521843
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``521936
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``522088
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``522236
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``522356
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``522619
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`522720
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``522841
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``522915
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`523013
oeval`2`x`(_$,S)->S`cPermutationCategory(S)``523117
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`523207
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)``523292
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``523374
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``523607
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``523692
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``523767
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``523918
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``524022
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``524131
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``524332
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``524484
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``524685
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``524837
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``524960
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``525111
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``525215
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`x`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`525290
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`525434
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`525626
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`525844
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`526020
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`526173
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``526284
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``526336
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``526460
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``526694
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``526931
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``527115
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`527442
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``527511
oeven?`1`x`(_$)->Boolean`dPermutation(S)``527587
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``527718
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``527870
oevenlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``528194
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`528575
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``528891
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``528933
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``528975
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)`529017
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`529105
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`529192
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`529380
oexists?`1`x`(_$)->Boolean`cFileNameCategory``529568
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``529638
oexp1`0`x`()->_$`dDoubleFloat``529837
oexp1`0`x`()->_$`dFloat``529910
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``529970
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``530057
oexp_lower_bound`7`n`(SparseUnivariatePolynomial(F),LaurentPolynomial(F,SparseUnivariatePolynomial(F)),Integer,Integer,List(Kernel(F)),F,(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Integer`pParametricRischDE(R,F)``530529
oexp`1`n`(F)->F`pElementaryFunction(R,F)``530841
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``530907
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``530965
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``531039
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``531115
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``531191
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``531264
oexp`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``531339
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``531406
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``531469
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`531560
oexpa`1`n`(_$)->IntegerMod(n)`dDihedralGroup(n,a,b)``531656
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``531748
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``531914
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`532027
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``532418
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``532480
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``532886
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``533142
oexpand`1`x`(_$)->R`dFactored(R)``533331
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``533544
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``533646
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``533758
oexpb`1`n`(_$)->IntegerMod(2)`dDihedralGroup(n,a,b)``533870
oexpextint`4`n`((UP)->UP,(Integer,List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``533971
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``534227
oexpintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(Integer,F)->Record(ans:F,right:F,primpart:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``534319
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``534550
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``534690
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``534855
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``535057
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``535194
oexponent`1`n`(_$)->Integer`dCyclicGroup(n,g)``535234
oexponent`1`n`(_$)->Integer`dInfiniteCyclicGroup(g)``535311
oexponent`1`n`(_$)->Integer`dMachineFloat``535388
oexponent`1`n`(_$)->NonNegativeInteger`dIntegerLocalizedAtPrime(p)``535447
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``535606
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``535660
oexponenta`1`n`(_$)->Integer`dDihedralGroup(n,a,b)``535760
oexponentb`1`n`(_$)->Integer`dDihedralGroup(n,a,b)``535868
oexponential1`0`n`()->Float`pRandomFloatDistributions``535985
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``536028
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``536140
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``536183
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``536319
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``536480
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``538588
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``540696
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``540894
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``541092
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``541475
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``541858
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``543953
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``546048
oexpr_to_series`3`n`(Expression(Integer),Kernel(Expression(Integer)),Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``546364
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Union(List(_$),"failed")`cPrincipalIdealDomain``546430
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``546637
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``546699
oexprex`1`n`(OutputForm)->String`dHTMLFormat``546736
oexprex`1`n`(OutputForm)->String`dMathMLFormat``546811
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``547233
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``547355
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``547416
oexquo`2`n`(_$,_$)->_$`dOutputForm``547554
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`547617
oexquo`2`x`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`547757
oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`547877
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`548027
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`548177
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cEntireRing``548303
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``548434
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``548576
oextendToPoint`2`n`(_$,PT)->_$`dSBoundary(PT)``549144
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``549305
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``549406
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``549571
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``549670
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``549967
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``550070
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``550307
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``550391
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``550571
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``550619
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``550715
oextendedCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``551008
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``551081
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``551467
oextendedLLL!`2`n`(Matrix(Integer),NonNegativeInteger)->Matrix(Integer)`pLLLReduction``551681
oextendedLLL`1`n`(Matrix(Integer))->Record(lll:Matrix(Integer),trf:Matrix(Integer))`pLLLReduction``552026
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`552237
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`552400
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`552587
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``552759
oextendedint`3`n`(F,Symbol,List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``553062
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``553375
oextendedint`4`n`(F,Symbol,List(Kernel(F)),List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``553599
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``553856
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``553927
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``554068
oextension`1`x`(_$)->String`cFileNameCategory``554139
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``554206
oexternal?`1`n`(_$)->Boolean`dFortranType``554353
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``554439
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(_$)->S`cBagAggregate(S)``554528
oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``554611
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``554748
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``554982
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``555053
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``555181
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``555340
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``555491
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`1`n`(SparseEchelonMatrix(JB,_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``555634
oextractSymbol`2`n`(_$,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``555720
oextractTop!`1`x`(_$)->S`cDequeueAggregate(S)``555915
oextract`3`n`(_$,Integer,Integer)->_$`dSparseEchelonMatrix(C,D)``556047
oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``556159
ofaceMap`2`n`(_$,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``556360
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`556615
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`556723
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``556900
ofactorFraction`1`x`(_$)->Fraction(Factored(S))`dFraction(S)`has(S,UniqueFactorizationDomain)`557128
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``557228
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``557374
ofactorList`1`x`(_$)->List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger))`dFactored(R)``557615
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``557711
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``557768
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``557905
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``557991
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``558171
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``558314
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``558557
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``558916
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``559034
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``559151
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``559433
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``559629
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``559741
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``559885
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``559995
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``560278
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``560524
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``560866
ofactor`1`n`(FreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``561180
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``561260
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`561335
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``561391
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``561488
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``561620
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``561695
ofactor`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
ofactor`1`n`(S)->Factored(S)`xField&(S)``0
ofactor`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
ofactor`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ofactor`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``561786
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``562095
ofactor`1`n`(_$)->List(_$)`dILogic``562176
ofactor`1`n`(_$)->List(_$)`dLatticeJoinOfMeets``562517
ofactor`1`n`(_$)->List(_$)`dLatticeMeetOfJoins``562858
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``563199
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``563301
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``563389
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``563486
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``563607
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``563691
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``563876
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``564100
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``564212
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``564279
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``564360
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``564484
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``564593
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``564742
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``564905
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``565137
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``565335
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``565496
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``565735
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``565875
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``566096
ofactor`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``566256
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``566287
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``566544
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``566773
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``567088
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``567181
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``567335
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``567500
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``567604
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``567708
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``567836
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:NonNegativeInteger))`cFiniteFieldCategory``567964
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``568050
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``568164
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``568261
ofactors`1`x`(_$)->List(Record(factor:R,exponent:NonNegativeInteger))`dFactored(R)``568358
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``568650
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``568729
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``568791
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``568853
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``568900
ofalse`0`x`()->_$`cLogic``568947
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``568990
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``569074
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``569927
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``570086
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``570247
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``570561
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`570816
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``570943
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``571009
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``571068
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``571148
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``571329
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``571405
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``571589
ofindNode`2`n`(_$,String)->Scene(PT)`dSceneNamedPoints(PT)``571668
ofindPoint`2`n`(_$,String)->PT`dSceneNamedPoints(PT)``571723
ofind_relation`2`n`(List(Float),NonNegativeInteger)->List(Integer)`pLLLReduction``571807
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``571939
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``572069
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``572183
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``572237
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``572291
ofiniteLattice`1`n`(NonNegativeInteger)->_$`dFiniteLattice(S,p)``572378
ofiniteLattice`1`n`(S)->_$`dFiniteLattice(S,p)``572429
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->_$`cPoset(S)``572481
ofinitePoset`2`n`(List(S),List(List(Boolean)))->_$`cPoset(S)``572592
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`572652
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`572866
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``573080
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``573199
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xLinearAggregate&(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`(_$)->A`dProduct(A,B)``573518
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``573580
ofirst`1`n`(_$)->S`dFreeMonoid(S)``573654
ofirst`1`n`(_$)->VarSet`dFreeMagma(VarSet)``573715
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`573784
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``573949
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``574059
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xLinearAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`n`(_$,NonNegativeInteger)->_$`cSequenceCategory(R)``574211
ofirst`2`x`(_$,NonNegativeInteger)->_$`cLinearAggregate(S)``574290
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``574429
ofirstn`2`n`(_$,NonNegativeInteger)->List(R)`cSequenceCategory(R)``574516
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``574590
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``574678
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``574928
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`575052
oflagFactor`3`x`(R,NonNegativeInteger,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``575135
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflatten`1`n`(DirectedGraph(_$))->_$`cFiniteGraph(S)``575313
oflatten`1`n`(_$)->_$`dInputForm``575505
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``575745
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``575964
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``576183
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``576274
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``576362
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``576498
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``576557
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`576616
ofloor`1`x`(_$)->_$`cRealNumberSystem``576692
oflush`1`x`(_$)->Void`cFileCategory(Name,S)``576755
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(_$,E,R,_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`576847
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``576930
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``577059
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(List(_$),PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DSys:List(_$),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``577205
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(_$,PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DPhi:_$,JVars:List(JB))`cJetBundleFunctionCategory(JB)``577311
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(List(_$),PositiveInteger)->List(_$)`cJetBundleFunctionCategory(JB)``577590
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(_$,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``577738
oformalDiff`2`n`(_$,PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``577848
oformula`1`n`(_$)->List(String)`dScriptFormulaFormat``577980
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``578066
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``578123
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``578172
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``578223
ofortranCharacter`0`n`()->_$`dFortranType``578325
ofortranComplex`0`n`()->_$`dFortranType``578405
ofortranDoubleComplex`0`n`()->_$`dFortranType``578481
ofortranDouble`0`n`()->_$`dFortranType``578570
ofortranInteger`0`n`()->_$`dFortranType``578654
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``578730
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``578852
ofortranLogical`0`n`()->_$`dFortranType``578937
ofortranReal`0`n`()->_$`dFortranType``579013
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``579083
ofortran`3`n`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``579157
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``579341
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``579380
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``579471
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``579682
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`579776
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``579883
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``579964
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``580046
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``580132
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`580213
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``580340
ofractionalTerms`1`x`(_$)->List(Record(num:R,den:Factored(R)))`dPartialFraction(R)``580410
ofree?`1`n`(_$)->Boolean`dLambda(UT)``580596
ofreeConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``580698
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``580808
ofreeCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``580925
ofreeCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``581027
ofreeMultiplicativeConvolution`2`x`(Distribution(R),Distribution(R))->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``581127
ofreeMultiplicativeConvolution`2`x`(_$,_$)->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`581267
ofreeOf?`2`n`(S,JB)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(_$,JB)->Boolean`cJetBundleFunctionCategory(JB)``581412
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``581508
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``581610
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``581740
ofreeVariable?`2`n`(_$,UT)->Boolean`dSKICombinators(UT)``581840
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``581957
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``582021
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``582085
ofresnelC`1`x`(_$)->_$`cLiouvillianFunctionCategory``582149
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``582263
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``582327
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``582391
ofresnelS`1`x`(_$)->_$`cLiouvillianFunctionCategory``582455
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`582569
ofront`1`x`(_$)->S`cQueueAggregate(S)``582655
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`582805
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``582902
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``583087
ofullDisplay`1`x`(_$)->Void`dIndexCard``583165
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``583249
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``583372
ofunctionGraph`1`n`(List(Permutation(S)))->_$`dFunctionGraph(S)``583541
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->_$`dFunctionGraph(S)``583593
ofunctionGraph`1`n`(List(S))->_$`dFunctionGraph(S)``583697
ofunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dFunctionGraph(S)``583969
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``584084
ofunctionName`1`x`(Symbol)->_$`dGuessOption``584215
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``584403
ofunctionNames`1`x`(List(Symbol))->_$`dGuessOption``584545
ofunction`2`n`(Symbol,List(_$))->_$`dJetBundleXExpression(JB)``584702
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``584801
ofunction`3`n`(Symbol,List(_$),NonNegativeInteger)->_$`dJetBundleExpression(JB)``584872
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``585041
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``585171
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``585278
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``585355
ofundamentalGroup`1`n`(_$)->GroupPresentation`dDeltaComplex(VS)``585441
ofundamentalGroup`1`n`(_$)->GroupPresentation`dFiniteCubicalComplex(VS)``585506
ofundamentalGroup`1`n`(_$)->GroupPresentation`dFiniteSimplicialComplex(VS)``586000
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``586532
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``586597
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``587133
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``587706
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``587750
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``587911
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``588116
ogbasisExtend`4`n`(List(Dpol),List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``588209
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``588478
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``588559
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``588625
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``588701
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``588870
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``589039
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``589123
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``589250
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``589369
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``589471
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``589582
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``589693
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``589772
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``589856
ogcd`1`x`(List(_$))->_$`cGcdDomain``589940
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``590029
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``590125
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`590221
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`590296
ogcd`2`x`(_$,_$)->_$`cGcdDomain``590386
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``590474
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``590589
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``590700
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``590803
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``590949
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``591081
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``591182
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``591286
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``591384
oge_minimal`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(Record(singularity:Record(point:Union(Expression(Integer),"infinity"),lpf:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dxt:PositiveInteger),fos:List(R--ecord(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),mge:List(UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``591488
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``591519
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``591581
ogen_Monte_Carlo_check`6`n`((List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"),List(List(F)),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution")`pModularHermitePadeSolver(F,S)``591774
ogen_exp`4`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(Record(ecs:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),ecr:UnivariatePolynomial(var,Expression(Integer)),ect:Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLine--arOrdinaryDifferentialOperatorFactorizer2(var,cen)``591997
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``592028
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``592417
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``592592
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``593457
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``593917
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``594120
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``594322
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``594553
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``594737
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``594893
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``595042
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``595256
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``595357
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``595475
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)``595660
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``595845
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``596125
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`596405
ogeneralizedEigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`596507
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``596633
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``596793
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->_$`dGeneralizedFiniteMoebiusFunction(P,R)``597037
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``597122
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`n`()->_$`dCyclicGroup(n,g)``597256
ogenerator`0`n`()->_$`dInfiniteCyclicGroup(g)``597305
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`597354
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``597493
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``597558
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``597650
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``597736
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``597800
ogenerators`0`n`()->List(_$)`cFinitelyGenerated``597904
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``597963
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``598044
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``598119
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`598194
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`598528
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`598673
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`598946
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`599094
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``599336
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`599482
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`599817
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`599967
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`600207
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`600360
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``600567
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``600737
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``600904
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``601108
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``601280
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``601445
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``601674
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``601754
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``601834
ogetArr`1`n`(_$)->List(List(Boolean))`cPoset(S)``601875
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ogetArrowIndex`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``602030
ogetArrows`1`n`(A)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`xPoset&(A,S)``0
ogetArrows`1`n`(_$)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`cFiniteGraph(S)``602125
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``602196
ogetBoundValue`1`n`(_$)->NonNegativeInteger`dLambda(UT)``602337
ogetCentre`1`n`(_$)->PT`dSBoundary(PT)``602419
ogetChildren`1`n`(_$)->List(_$)`dILogic``602518
ogetChildren`1`n`(_$)->List(_$)`dLambda(UT)``602593
ogetChildren`1`n`(_$)->List(_$)`dLatticeJoinOfMeets``602715
ogetChildren`1`n`(_$)->List(_$)`dLatticeMeetOfJoins``602790
ogetChildren`1`n`(_$)->List(_$)`dSKICombinators(UT)``602865
ogetCode`1`n`(_$)->List(String)`dFortranCode``602940
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``603077
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``603221
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``603480
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``603601
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``603679
ogetIndexesSigned`1`n`(_$)->List(Integer)`dOrientedFacet``603925
ogetIndexes`1`n`(_$)->List(NonNegativeInteger)`dOrientedFacet``603986
ogetIndexs`1`n`(_$)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``604017
ogetIntervals`1`n`(_$)->List(Segment(Integer))`dCubicalFacet``604045
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``604101
ogetMaxLeft`1`n`(_$)->NonNegativeInteger`dProductFacet``604262
ogetMaxRight`1`n`(_$)->NonNegativeInteger`dProductFacet``604296
ogetMax`1`n`(_$)->PT`dSBoundary(PT)``604331
ogetMin`1`n`(_$)->PT`dSBoundary(PT)``604424
ogetMult`1`n`(_$)->Integer`cFacetCategory``604517
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``604551
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``604645
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``604739
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``604833
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``605010
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``605187
ogetName`1`n`(_$)->String`cVarCat``605364
ogetNames`1`n`(_$)->List(String)`dSceneNamedPoints(PT)``605405
ogetNotation`0`n`()->Symbol`cJetBundleCategory``605469
ogetNotation`0`n`()->Symbol`cJetBundleFunctionCategory(JB)``0
ogetNotation`0`n`()->Symbol`xJetBundleFunctionCategory&(S,JB)``0
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``605532
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``605726
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``606029
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`606145
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``606272
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``606321
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``606410
ogetType`1`n`(_$)->ILogic`cVarCat``606483
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``606684
ogetVariable`1`n`(_$)->UT`dLambda(UT)``606891
ogetVariable`1`n`(_$)->UT`dSKICombinators(UT)``607001
ogetVert`1`n`(_$)->List(S)`cPoset(S)``607079
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertexIndex`2`n`(_$,S)->NonNegativeInteger`cFiniteGraph(S)``607264
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetVertices`1`n`(_$)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``607356
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``607456
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``607594
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``607723
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``607861
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``607936
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``608005
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``608124
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
oglb`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``608189
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``608416
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``608478
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``608560
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``608630
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``608686
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``608762
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``608826
ogotoJump`1`n`(SingleInteger)->_$`dFortranCode``609015
ogradeInvolution`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``609094
ograde`1`n`(_$)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``609151
ograde`1`n`(_$)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``609323
ograde`1`x`(_$)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``609573
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``609693
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``609882
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``610039
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``610211
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``610375
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``610601
ographImage`0`n`()->_$`dGraphImage``611042
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``611227
ographStates`1`n`(_$)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``612334
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``612605
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``612945
ogreen`0`x`()->_$`dColor``613118
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``613195
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``613492
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``613529
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``613624
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``614126
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``614714
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``615331
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``616040
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,Dpol)``616252
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``616376
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``616592
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``616699
ogroebner`1`n`(List(_$))->List(_$)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`616918
ogroebner`1`n`(List(_$))->List(_$)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`617033
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``617160
ogroebner`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``617284
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``617390
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``617855
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`n`(_$)->Boolean`dJetBundleLinearFunction(JB,D)``618243
oground?`1`n`(_$)->Boolean`dJetLazyFunction(JB,D)``618347
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``618442
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``618533
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`n`(_$)->Record(numer:Polynomial(Integer),denom:Polynomial(Integer))`dFakePolynomial``0
oground`1`n`(_$)->_$`dJetBundleLinearFunction(JB,D)``618603
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``618664
oground`1`x`(_$)->R`cFunctionSpace(R)``618742
ogroupPresentation`0`n`()->_$`dGroupPresentation``618869
ogroupPresentation`1`n`(List(NonNegativeInteger))->_$`dGroupPresentation``618932
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->_$`dGroupPresentation``618993
oguessADE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessADE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``619040
oguessADE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`619270
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessADE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``619475
oguessADE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`1`n`(List(List(AlgebraicNumber)))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`1`x`(List(List(F)))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``619669
oguessAlgDep`1`x`(List(List(F)))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`1`x`(List(List(Fraction(Integer))))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(Integer)))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(R)))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``619907
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`2`x`(List(List(Fraction(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620097
oguessAlg`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620393
oguessAlg`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessBinRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`620666
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620905
oguessBinRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`621121
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessBinRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``621360
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``621576
oguessBinRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessExpRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`621792
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``622023
oguessExpRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`622216
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessExpRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``622447
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``622652
oguessExpRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``622857
oguessFE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623086
oguessFE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessHolo`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623279
oguessHolo`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`623583
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessHolo`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623785
oguessHolo`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessPRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``624073
oguessPRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`624346
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessPRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``624612
oguessPRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``624869
oguessPade`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``625202
oguessPade`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``625467
oguessRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`625749
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``626021
oguessRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``626267
oguessRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`626455
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``626619
oguessRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``626771
oguess`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguess`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``626964
oguess`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`3`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``627122
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`3`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessInteger``0
oguess`3`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`3`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`4`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``627418
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`4`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`4`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`4`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``627681
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``627716
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`627778
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`627922
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`628066
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`628222
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`628400
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`628556
ohandle_imaginary`1`n`(FiniteDivisor(F,UP,UPUP,R))->Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean)`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``628734
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``628801
ohankelDeterminants`1`n`(_$)->Stream(R)`cDistributionCategory(R)``628909
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``629017
ohankelH1`2`x`(_$,_$)->_$`cSpecialFunctionCategory``629109
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``629202
ohankelH2`2`x`(_$,_$)->_$`cSpecialFunctionCategory``629299
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``629397
ohas?`2`x`(_$,Symbol)->Boolean`dBasicOperator``629505
ohasDimension?`1`n`(_$)->Boolean`dSimpleCell(TheField,ThePols)``629586
ohasDimension?`2`n`(_$,Symbol)->Boolean`dCell(TheField)``629758
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``629903
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``629981
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``630061
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``630153
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``630245
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``630324
ohashUpdate!`2`n`(HashState,A)->HashState`xBinaryTreeCategory&(A,S)``0
ohashUpdate!`2`n`(HashState,A)->HashState`xLinearAggregate&(A,S)``0
ohashUpdate!`2`x`(HashState,_$)->HashState`cSetCategory``630463
ohash`1`n`(A)->SingleInteger`xFiniteGraph&(A,S)``0
ohash`1`n`(A)->SingleInteger`xPoset&(A,S)``0
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`x`(_$)->SingleInteger`cSetCategory``630652
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``630711
ohclf`2`n`(_$,_$)->_$`dFreeMonoid(S)``630956
ohconcat`1`n`(List(_$))->_$`dOutputForm``631134
ohconcat`2`n`(_$,_$)->_$`dOutputForm``631213
ohcrf`2`n`(_$,_$)->_$`dFreeMonoid(S)``631297
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``631476
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``631565
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``631653
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``631890
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``632092
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``632259
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``632390
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``632517
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`632621
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``632866
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``632982
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``633199
oheap`1`x`(List(S))->_$`dHeap(S)``633322
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``633413
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``633520
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``633583
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``633877
ohensel_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``634198
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``634232
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``634289
ohermiteH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``634454
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``634511
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``634782
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``634863
ohexDigit?`1`x`(_$)->Boolean`dCharacter``635051
ohexDigit`0`x`()->_$`dCharacterClass``635185
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``635307
ohigh`1`x`(_$)->S`cSegmentCategory(S)``635383
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``635475
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``635569
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``635751
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``635841
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``635951
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``636082
ohomology0`0`n`()->_$`dHomology``636441
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->_$`dHomology``636502
ohomology`1`n`(_$)->List(Homology)`dChainComplex``636676
ohomology`1`n`(_$)->List(Homology)`dDeltaComplex(VS)``636724
ohomology`1`n`(_$)->List(Homology)`dFiniteCubicalComplex(VS)``636772
ohomology`1`n`(_$)->List(Homology)`dFiniteSimplicialComplex(VS)``636820
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->_$`dHomology``636984
ohomologyc2`0`n`()->_$`dHomology``637012
ohomologyz`0`n`()->_$`dHomology``637077
ohomologyzc2`0`n`()->_$`dHomology``637141
ohomologyzz`0`n`()->_$`dHomology``637208
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``637274
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``637411
ohorizJoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``637642
ohorizSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(_$,C)->Record(Left:_$,Right:_$)`dSparseEchelonMatrix(C,D)``637810
ohorizSplit`2`x`(_$,List(NonNegativeInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``638009
ohorizSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``638218
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``638371
ohspace`1`n`(Integer)->_$`dOutputForm``638489
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``638552
ohue`1`n`(Point(R))->R`pPointPackage(R)``638653
ohue`1`x`(_$)->Color`dPalette``638976
ohue`1`x`(_$)->Integer`dColor``639054
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``639130
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``639266
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``639402
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``639493
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`639584
ohypergeometricF`3`x`(List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`639672
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``639761
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``639824
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``639882
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``639945
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``640003
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``640220
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640402
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oid`1`x`(A)->A`pMappingPackage1(A)``640462
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``640494
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``640792
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``640875
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``640980
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``641058
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``641226
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``641326
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``641483
oidentityMatrix`1`n`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`641664
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``641755
oidentity`0`n`()->_$`dSTransform(PT)``641814
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``641898
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``641952
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``642016
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`642080
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`642144
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``642208
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``642369
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``642433
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``642492
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``642556
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``642615
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``642675
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``642735
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``642795
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``642855
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``642912
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``642970
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``643038
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643103
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``643159
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``643215
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``643272
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``643328
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``643385
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``643441
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``643498
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``643554
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``643611
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``643667
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``643724
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``643780
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``643837
oiiconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643895
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``643957
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``644012
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``644068
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``644123
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``644179
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``644234
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``644290
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``644350
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``644408
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``644465
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``644520
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``644577
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``644632
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``644671
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``644728
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``644790
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``644846
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``644885
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``644940
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``644996
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``645051
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``645107
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``645163
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``645219
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``645274
oimagE`1`x`(_$)->R`cOctonionCategory(R)``645330
oimagI`1`x`(_$)->R`cOctonionCategory(R)``645412
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``645494
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``645578
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``645660
oimagK`1`x`(_$)->R`cOctonionCategory(R)``645744
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``645826
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``645910
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``646009
oimag`1`x`(_$)->R`cComplexCategory(R)``646108
oimagi`1`x`(_$)->R`cOctonionCategory(R)``646166
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``646238
oimagj`1`x`(_$)->R`cOctonionCategory(R)``646296
oimagk`1`x`(_$)->R`cOctonionCategory(R)``646368
oimplies`2`n`(_$,_$)->_$`dILogic``646440
oimplies`2`x`(_$,_$)->_$`dBoolean``646689
oimplies`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oimplies`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cPoset(S)``0
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``646785
oinBounds?`3`n`(_$,_$,_$)->Boolean`cSPointCategory``646875
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oinDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``647021
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``647122
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``647229
oinR?`1`n`(_$)->Boolean`dPattern(R)``647628
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``647723
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``647834
oincFatal`1`n`(String)->Void`pUnittestCount``647954
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``648059
oincPass`0`n`()->Void`pUnittestCount``648176
oincXfFail`0`n`()->Void`pUnittestCount``648254
oincXfFatal`1`n`(String)->Void`pUnittestCount``648345
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``648396
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``648456
oinc`1`x`(_$)->_$`cIntegerNumberSystem``648609
oincidenceAlgebra`2`n`(Matrix(R),List(S))->_$`dIncidenceAlgebra(R,S)``648652
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->_$`dIncidenceAlgebra(R,S)``648764
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oincidenceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``648876
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``649190
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``649375
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``649560
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`649715
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``649845
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``650038
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``650226
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``650408
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,_$)->Boolean`cIndexedAggregate(Index,Entry)``650441
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``650523
oindexName`1`x`(Symbol)->_$`dGuessOption``650634
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindexToObject`2`n`(_$,NonNegativeInteger)->S`cPoset(S)``650773
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->S`xDirectProductCategory&(S,dim,R)``0
oindex`1`n`(PositiveInteger)->S`xFramedModule&(S,R)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``650816
oindex`1`n`(_$)->PositiveInteger`cJetBundleCategory``650853
oindex`1`x`(PositiveInteger)->_$`cFinite``650922
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``651170
oindexes`1`n`(_$)->List(List(NonNegativeInteger))`dSceneIFS(PT)``651272
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``651340
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``651498
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`n`(_$)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``651588
oindices`1`x`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``651659
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``651756
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``651856
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``651956
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``652052
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``652148
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``652382
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``652616
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``652884
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``653152
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``653333
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``653431
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``653529
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``653710
oinf`1`x`(_$)->R`cIntervalCategory(R)``653836
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``653890
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``654026
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``654163
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``654221
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``654295
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``654443
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``654556
oinfinity`0`x`()->_$`dOnePointCompletion(R)``654599
oinfix?`1`n`(_$)->Boolean`dOutputForm``654642
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``654752
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``654896
oinfsum`1`n`(Stream(_$))->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``654984
oini_rdata`2`n`(U32Vector,Integer)->List(Record(ind:NonNegativeInteger,poly:U32Vector))`pModularFactorization``0
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``655126
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->_$`cStepThrough``655181
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``655242
oinitial`0`n`()->A`xPoset&(A,S)``0
oinitial`0`n`()->_$`cFiniteGraph(S)``655435
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``655502
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``655654
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``656094
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``656561
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``656809
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``657021
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``657264
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``657466
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``657603
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``657771
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)``657873
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``658199
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``658312
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``658438
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)``658792
oinput`1`x`(_$)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``658876
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``658990
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``659212
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``659278
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``659375
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``659446
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``659546
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``659645
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``659747
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``659858
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``659970
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``660100
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``660266
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``660369
oinsert`2`n`(List(D),_$)->_$`dJetDifferentialEquation(JB,D)``660605
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)``660708
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``660899
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`661109
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``661152
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``661203
ointBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``661268
ointBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``661384
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``661499
ointBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``661645
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``661737
ointPatternMatch`4`n`(F,Symbol,(F,Symbol)->IntegrationResult(F),(F,Symbol)->Union(Record(special:F,integrand:F),"failed"))->IntegrationResult(F)`pIntegrationTools(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,GcdDomain),has(R,PatternMatchable(Integer)),has(F,ElementaryFunctionCategory),has(F,LiouvillianFunctionCategory),has(F,RetractableTo(Symbol)))`661777
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``662030
oint`1`n`(_$)->_$`dOutputForm``662142
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``662228
oint`2`n`(_$,_$)->_$`dOutputForm``662313
oint`3`n`(_$,_$,_$)->_$`dOutputForm``662429
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``662586
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``662627
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``662682
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``662734
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``662825
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``662917
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``663011
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``663094
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``663240
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``663386
ointegerPart`1`n`(_$)->NonNegativeInteger`dSmallOrdinal``663490
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``663598
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``663714
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``663808
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``663932
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``663999
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``664074
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``664166
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``664261
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``664349
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``664435
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``665303
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``666171
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``667031
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``667899
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``667971
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``668182
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``668527
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``668643
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``668872
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``669097
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``669269
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``669365
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``669497
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`669586
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``669682
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``669823
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegrateIfCan`2`n`(_$,PositiveInteger)->Union(_$,"failed")`cJetBundleCategory``669905
ointegrate_sols`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->Record(ltilde:LinearOrdinaryDifferentialOperator1(Fraction(UP)),r:Union(LinearOrdinaryDifferentialOperator1(Fraction(UP)),"failed"))`pRationalLODE(F,UP)``670030
ointegrate_sols`2`n`(L,(L,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(ltilde:L,r:Union(L,"failed"))`pIntegrateSolutions(F,L)``670112
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``670570
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`670639
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`670822
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`671011
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`671128
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`671325
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`671514
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``671778
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`n`(_$,PositiveInteger)->_$`cJetBundleCategory``671883
ointegrate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`672014
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`672203
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`672392
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`672586
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`672775
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`672964
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``673158
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``673322
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``673437
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``673601
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`673765
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``673880
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`674011
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`674144
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`674277
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`674410
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`674543
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`674676
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`674809
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`674973
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`675203
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`675392
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``675548
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``675959
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``676370
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`676781
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``676937
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``677135
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``677433
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``677474
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``677639
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``677751
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``677881
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)``678011
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``678117
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``678223
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``678306
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``678432
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``678517
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``678636
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``678770
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``679009
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``679248
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``679509
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``679765
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``679883
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``680001
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``680051
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``680448
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``680627
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``680682
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``680793
ointerpret`1`n`(_$)->Any`dInputForm``680917
ointersect`1`x`(List(_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``680980
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)``681067
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``681174
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``681352
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``681435
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``681516
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``681787
ointersection`1`n`(List(_$))->_$`dSBoundary(PT)``681882
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``682048
ointerval`1`x`(R)->_$`cIntervalCategory(R)``682114
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``682180
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``682323
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``682445
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``682517
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``682552
oinv`1`x`(_$)->_$`cDivisionRing``682587
oinv`1`x`(_$)->_$`cGroup``682680
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`682734
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`682801
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``682870
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``683586
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``683822
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``684051
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``684261
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``684329
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``684491
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`684711
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`684864
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`685026
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`685158
oinvertIfCan`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,IntegralDomain)`685233
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``685399
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``685521
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``685742
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``685939
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``686119
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``686212
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``686329
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``686461
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``686607
oiprint`1`n`(String)->Void`pInternalPrintPackage``686662
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``686741
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`686822
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``686885
oirreducibleFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``686969
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`687132
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``687404
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``687759
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``687985
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``688263
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``688331
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``688412
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``688539
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``688631
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``688715
ois?`2`x`(_$,Symbol)->Boolean`dBasicOperator``688816
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`688887
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`689023
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAcyclic?`1`n`(_$)->Boolean`cFiniteGraph(S)``689523
oisAntiChain?`1`n`(_$)->Boolean`cPoset(S)``689593
oisAntisymmetric?`1`n`(A)->Boolean`xPoset&(A,S)``0
oisAntisymmetric?`1`n`(_$)->Boolean`cPoset(S)``689697
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``689838
oisBoundNode?`1`n`(_$)->Boolean`dLambda(UT)``689916
oisBox?`1`n`(_$)->Boolean`dSBoundary(PT)``689987
oisChain?`1`n`(_$)->Boolean`cPoset(S)``690066
oisCompound?`1`n`(_$)->Boolean`dLambda(UT)``690168
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``690258
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``690423
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``690543
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisEllipse?`1`n`(_$)->Boolean`dSBoundary(PT)``690663
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``690744
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``690851
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`690963
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`691048
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)`691161
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`691273
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisFixPoint?`2`n`(_$,NonNegativeInteger)->Boolean`cFiniteGraph(S)``691383
oisFreeNode?`1`n`(_$)->Boolean`dLambda(UT)``691462
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisFunctional?`1`n`(_$)->Boolean`cFiniteGraph(S)``691535
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisGreaterThan?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``691698
oisI?`1`n`(_$)->Boolean`dSKICombinators(UT)``691900
oisK?`1`n`(_$)->Boolean`dSKICombinators(UT)``691966
oisLambda?`1`n`(_$)->Boolean`dLambda(UT)``692031
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``692104
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`692216
oisNodeBranch?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``692303
oisNodeLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``692375
oisNull?`1`n`(_$)->Boolean`dSBoundary(PT)``692467
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``692562
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``692686
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``692808
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)``692940
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`693083
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``693184
oisPoint?`1`n`(_$)->Boolean`cSPointCategory``693340
oisPointLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``693437
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``693558
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``693666
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`693762
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``693848
oisS?`1`n`(_$)->Boolean`dSKICombinators(UT)``693947
oisSubsetOf?`2`n`(_$,_$)->Boolean`dOrientedFacet``694012
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``694138
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``694260
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`694390
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`694490
oisVector?`1`n`(_$)->Boolean`cSPointCategory``694789
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``694884
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``694998
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``695181
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``695258
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``695410
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``695557
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``695727
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``695844
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``695908
ojacobiCn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``695972
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``696143
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``696315
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``696432
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``696496
ojacobiDn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``696560
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``696733
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``696943
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``697153
ojacobiMatrix`1`n`(_$)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``697253
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(_$),List(List(JB)))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``697356
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``697585
ojacobiP`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``697650
ojacobiParameters`1`n`(_$)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`697715
ojacobiParameters`1`n`(_$)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`697828
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``697941
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``698119
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``698262
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``698379
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``698443
ojacobiSn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``698507
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``698651
ojacobiTheta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``698734
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``698817
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``699019
ojacobiZeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``699080
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``699282
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``699566
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``699765
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``699853
ojetVariables`1`n`(_$)->List(JB)`cJetBundleFunctionCategory(JB)``700090
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``700199
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``700272
ojoin`1`n`(List(_$))->_$`dLatticeJoinOfMeets``700501
ojoin`1`n`(List(_$))->_$`dLatticeMeetOfJoins``700539
ojoin`2`n`(_$,_$)->_$`dJetDifferentialEquation(JB,D)``700577
ojoin`2`n`(_$,_$)->_$`dOrientedFacet``700678
ojoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``700824
ojoin`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``700906
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``701063
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``701354
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``701645
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``702005
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,Ring)`702365
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``702465
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``702634
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``702993
okelvinBei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``703170
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``703348
okelvinBer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``703525
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``703703
okelvinKei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``703897
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``704092
okelvinKer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``704286
okernel`1`n`(Symbol)->_$`dKernel(S)``704481
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``704542
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``704649
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``704733
okernels`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``704934
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``705132
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``705298
okey`1`n`(_$)->Integer`dGraphImage``705371
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``705502
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``705660
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``705822
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okgraph`2`n`(List(S),String)->_$`cFiniteGraph(S)``705888
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``706207
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``706247
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``706315
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``706389
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``706476
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``706523
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``706847
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``707291
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``707312
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``707333
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`707528
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`707733
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``707900
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``708034
okronecker_prod1`7`n`(S,Integer,List(List(NonNegativeInteger)),List(S),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`xMatrixCategory&(S,R,Row,Col)``0
okronecker_prod1`7`x`(_$,Integer,List(List(NonNegativeInteger)),List(_$),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`cMatrixCategory(R,Row,Col)``708130
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``708170
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``708292
okummerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``708359
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``708429
okummerU`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``708496
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``708566
olabel`2`n`(_$,_$)->_$`dOutputForm``708675
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``708751
olagrange`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``708881
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``709035
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``709209
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``709273
olaguerreL`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``709424
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``709488
olambda`1`n`(NonNegativeInteger)->_$`dLambda(UT)``709768
olambda`1`n`(UT)->_$`dLambda(UT)``709842
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``709891
olambda`2`n`(_$,UT)->_$`dLambda(UT)``710074
olambda`2`n`(_$,_$)->_$`dLambda(UT)``710150
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``710201
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``710297
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``710368
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``710428
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``710488
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``710548
olambertW`1`x`(_$)->_$`cSpecialFunctionCategory``710608
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``710719
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``710739
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``710759
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``710779
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``710799
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``710819
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``710839
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``710859
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``710879
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``710899
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``710919
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``710939
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``710959
olambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``711268
olambintegrate`6`n`(Fraction(UP),F,(F)->F,(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),(F)->IntegrationResult(F))->Record(answer:IntegrationResult(Fraction(UP)),a0:IntegrationResult(F))`pTranscendentalIntegration(F,UP)``711635
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``711995
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``712016
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``712037
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``712058
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``712079
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``712100
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``712121
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacianMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``712393
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``712954
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`713099
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``713269
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``713431
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``713790
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`713946
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``714150
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`714254
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``714491
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(_$)->S`cDoublyLinkedAggregate(S)``715193
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``715308
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``715420
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)``715571
olatex`1`n`(A)->String`xFiniteGraph&(A,S)``0
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``715711
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->_$`dLatticeJoinOfMeets``715795
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->_$`dLatticeMeetOfJoins``715839
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``715883
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``716038
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``716173
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``716356
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``716426
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesCategory&(S,Coef)``0
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`n`(Integer,UTS)->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``716559
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``716674
olaurent`2`x`(Integer,Stream(Coef))->_$`cUnivariateLaurentSeriesCategory(Coef)``716919
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``717106
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``717166
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``717365
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``717539
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``717732
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``717900
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`718177
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`718257
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``718354
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`718463
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``718901
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``719041
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``719191
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``719335
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``719494
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``719719
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:R,gap:NonNegativeInteger,quotient:_$,remainder:_$)`dNewSparseUnivariatePolynomial(R)``720003
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``720233
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:_$)`cRecursivePolynomialCategory(R,E,V)``720442
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``720676
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``720803
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``721043
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``721332
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`721571
olc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``721701
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcmCoef`2`n`(_$,_$)->Record(llcm_res:_$,coeff1:_$,coeff2:_$)`cLeftOreRing``721739
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``721952
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``722045
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``722131
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``722263
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``722531
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``722644
ole`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
ole`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cPreorder(S)``722925
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``723135
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``723309
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``723412
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``723510
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``723868
oleadingCoefficient`1`n`(_$)->R`cSolvableSkewPolynomialCategory(R,Expon)``723969
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``724069
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``724175
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``724225
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`724272
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``724455
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``724552
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``724645
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingDer`1`n`(_$)->JB`cJetBundleFunctionCategory(JB)``724798
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``724933
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``724980
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``725093
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``725137
oleadingMonomial`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon)``725184
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``725275
oleadingMonomial`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`725366
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``725501
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`725584
oleadingTerm`1`x`(_$)->Record(k:S,c:A)`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`725753
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``725906
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``725943
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``726004
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``726259
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``726533
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``726652
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``726726
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``726952
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``727178
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``727336
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``727706
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``728076
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`728389
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`728597
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`728852
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`728979
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``729100
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`729340
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`729579
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`729781
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``730015
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``730143
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`730241
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`730298
oleftPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``730355
oleftPower`2`x`(_$,PositiveInteger)->_$`cMagma``730549
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`730743
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`730937
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``731033
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`731272
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``731511
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`731677
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``731897
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``732086
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)``732258
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`732562
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``732757
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``732953
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``733237
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``733521
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``733735
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``733828
oleftTrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`734008
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`734176
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``734301
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`734424
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`734548
oleft`1`n`(_$)->_$`dFreeMagma(VarSet)``734605
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``734735
oleft`1`n`(_$)->_$`dOutputForm``734866
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``734933
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``735006
oleft`2`n`(_$,Integer)->_$`dOutputForm``735052
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`735140
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``735309
olegendreP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``735382
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``735456
olegendreQ`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``735529
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``735603
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``735879
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``736235
olength`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``736346
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``736402
olength`1`n`(_$)->PositiveInteger`dFreeMagma(VarSet)``736494
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``736561
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`736628
olength`1`x`(_$)->_$`cIntegerNumberSystem``736739
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``736793
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``736827
olerchPhi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``736889
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``736952
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``737056
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``737135
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``737339
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``737476
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``737710
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``737899
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``738286
olexico`2`n`(_$,_$)->Boolean`dFreeMagma(VarSet)``738353
olexico`2`n`(_$,_$)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`738656
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``738826
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``738996
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``739161
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``739234
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``739461
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``739516
olhs`1`x`(_$)->S`dEquation(S)``739586
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``739660
oli_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``739707
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``739774
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``739834
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``739894
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``739954
olibrary`1`x`(FileName)->_$`dLibrary``740083
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``740137
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``740344
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``740551
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``740881
olie`2`n`(JetVectorField(JB,D),_$)->_$`dJetDifferential(JB,D)``741211
olie`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``741307
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``741445
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``741537
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``741573
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``741675
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)``741716
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),(List(SparseUnivariatePolynomial(R)))->(SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``741751
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)`has(R,EuclideanDomain)`742289
olight`1`x`(Color)->_$`dPalette``742602
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``742694
olimitPart`1`n`(_$)->_$`dSmallOrdinal``742964
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``743108
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``743183
olimit`2`n`(_$,NonNegativeInteger)->Loop`dFunctionGraph(S)``743260
olimit`2`x`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``743401
olimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``743488
olimit`2`x`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``743615
olimit`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``743742
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``743883
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``744086
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``744357
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``744395
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``744542
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``744805
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``745020
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``745235
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``745450
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``745665
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``745889
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``746104
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``746319
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``746472
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``746576
olineIntersect`2`n`(_$,PT)->PT`dSBoundary(PT)``746702
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``746963
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``747017
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`747144
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`747829
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)`747983
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`748223
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``748379
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``748637
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``748884
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``749120
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``749273
olinearExtend`2`x`((S)->R,_$)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`749414
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``749542
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``749710
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``749949
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``749987
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``750030
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``750165
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``750327
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``750509
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->_$`dDeltaComplex(VS)``750680
olink`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``750721
olink`2`n`(_$,_$)->List(PT)`dSBoundary(PT)``750850
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``751094
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``751169
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``751250
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``751366
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)``751482
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``751734
olistOfLists`1`n`(S)->List(List(R))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``751851
olistOfLists`1`x`(_$)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``751940
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``752028
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``752104
olistOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``752186
olistOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``752285
olistOfTerms`1`x`(_$)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``752363
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``752589
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``752957
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``753436
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``753500
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``753569
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``753839
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``754097
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``754353
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``754554
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``754755
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``755662
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``756575
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``757480
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``758393
olog10`0`x`()->_$`dFloat``758453
olog10`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``758521
olog10`1`x`(_$)->_$`dDoubleFloat``758599
olog10`1`x`(_$)->_$`dFloat``758672
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``758743
olog2`0`x`()->_$`dFloat``758949
olog2`1`x`(_$)->_$`dDoubleFloat``759035
olog2`1`x`(_$)->_$`dFloat``759106
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``759175
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``759336
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``759460
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``759525
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``759649
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``759714
olog`1`n`(F)->F`pElementaryFunction(R,F)``759801
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``759865
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``760021
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``760079
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``760137
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``760208
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``760281
olog`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``760337
olog`1`x`(_$)->_$`cElementaryFunctionCategory``760404
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``760647
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`760736
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``760830
ologextint`5`n`((UP)->UP,(UP)->Factored(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(UP))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer)))),List(Fraction(UP)))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``761029
ologicF`0`n`()->_$`dILogic``761277
ologicF`0`n`()->_$`dLatticeJoinOfMeets``761336
ologicF`0`n`()->_$`dLatticeMeetOfJoins``761403
ologicT`0`n`()->_$`dILogic``761470
ologicT`0`n`()->_$`dLatticeJoinOfMeets``761512
ologicT`0`n`()->_$`dLatticeMeetOfJoins``761555
ological?`1`n`(_$)->Boolean`dFortranScalarType``761598
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``761690
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``761770
olommelS1`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``761840
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``761911
olommelS2`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``761981
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xDirectProductCategory&(S,dim,R)``0
olookup`1`n`(S)->PositiveInteger`xFramedModule&(S,R)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``762052
olookup`1`x`(_$)->PositiveInteger`cFinite``762125
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``762213
oloop`1`n`(List(NonNegativeInteger))->_$`dLoop``762699
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsArrows`1`n`(_$)->List(Loop)`cFiniteGraph(S)``762776
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(_$,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``763135
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(_$)->List(Loop)`cFiniteGraph(S)``763243
olooseEquals`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(A,A)->Boolean`xPoset&(A,S)``0
olooseEquals`2`n`(_$,_$)->Boolean`cFiniteGraph(S)``763403
olow`1`x`(_$)->S`cSegmentCategory(S)``763799
olowerCase!`1`x`(_$)->_$`cStringAggregate``763888
olowerCase?`1`x`(_$)->Boolean`dCharacter``763992
olowerCase`0`x`()->_$`dCharacterClass``764103
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``764227
olowerCase`1`x`(_$)->_$`dCharacter``764308
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``764479
olowerSet`1`n`(_$)->_$`cPoset(S)``764631
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``764773
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``765069
olquo`2`n`(_$,S)->Union(_$,"failed")`dFreeMonoid(S)``765271
olquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``765355
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``765549
olquo`2`x`(_$,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``765633
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``765726
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``765810
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
olub`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``765907
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``766118
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``766178
olyndon`1`n`(FreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``766244
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``766347
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``766418
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``766489
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``766607
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``766701
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`766982
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``767191
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``767302
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``767376
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``767546
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``767749
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`768017
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`768239
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``768464
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``768571
omainVariableOf`1`n`(_$)->Symbol`dCell(TheField)``768695
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``768761
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(_$)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``768920
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``769120
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``769279
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->_$`dCell(TheField)``769423
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),_$)->_$`dCell(TheField)``769501
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``769627
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``769716
omakeDisjoint`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``769753
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``769879
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``769999
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger))))->Factored(UP)`pGaloisGroupFactorizer(UP)``770318
omakeFR`2`x`(R,List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger)))->_$`dFactored(R)``770425
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``770524
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``770786
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``771121
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``771359
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``771826
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``772356
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``772440
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``772724
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``773008
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``773329
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773561
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773914
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``774191
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``774492
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``774731
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``775071
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``775348
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``775635
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``775998
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``776428
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``776810
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``777253
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``777639
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``778038
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``778249
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``778690
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``779160
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``779702
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``780213
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``780403
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``780490
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``780617
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``780738
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``780827
omakeSystem`1`n`(List(D))->_$`dJetDifferentialEquation(JB,D)``781748
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``781825
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``781960
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``782027
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`782350
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``782678
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``782820
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``783042
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``783392
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``783618
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``783954
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``784199
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``784483
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``784536
omantissa`1`n`(_$)->Integer`dMachineFloat``784624
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``784683
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``784748
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,shallowlyMutable)`784844
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``784944
omapContra`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapContra`5`n`(_$,List(NonNegativeInteger),List(S),Integer,Integer)->_$`cFiniteGraph(S)``785058
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``785190
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``785634
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``786242
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``786329
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`dFreeMonoid(S)``786416
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``786503
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``786632
omapGen`2`n`((S)->S,_$)->_$`dFreeMonoid(S)``786717
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``786802
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``786887
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``787059
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``787104
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``787270
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``787375
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``787480
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``787805
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``788290
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``788430
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->_$`dFakePolynomial``0
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),_$)->_$`dFakePolynomial``0
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``788539
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)``788581
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``788676
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``788775
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``788910
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``789034
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Record(numer:Polynomial(Integer),denom:Polynomial(Integer)))->Union(Polynomial(Integer),"failed"),_$)->Union(SparseUnivariatePolynomial(Polynomial(Integer)),"failed")`dFakePolynomial``0
omap`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``789130
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``789170
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``789320
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``789462
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``789582
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``789678
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``789862
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``790049
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``790211
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``790386
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``790493
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``790710
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``790852
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``791013
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``791053
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``791093
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``791133
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``791255
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``791364
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``791473
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``791515
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``791624
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)``791665
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``791707
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``791749
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``791861
omap`2`x`((R)->R,_$)->_$`cMonoidRingCategory(R,M)``791956
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``792068
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``792179
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``792285
omap`2`x`((R)->R,_$)->_$`dFactored(R)``792384
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``792661
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``792760
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``792954
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``793037
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``793124
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``793399
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``793579
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``793670
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``793786
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``793959
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``793999
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``794288
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``794412
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``794559
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`794652
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``794883
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``794953
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``795032
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``795167
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`795302
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``795393
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``795500
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``795582
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``795624
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``795666
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``795755
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``795851
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``795947
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``795987
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``796067
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``796163
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``796326
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``796488
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``796580
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``796805
omap`2`x`((S)->S,_$)->_$`dEquation(S)``796976
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``797073
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``797156
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``797285
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,Symbol,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``797390
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)``797531
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``797840
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``797885
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``797930
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``798367
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``798412
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``798685
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``798934
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``799055
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``799209
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``799333
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)``799543
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``799717
omap`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omap`5`n`(_$,List(NonNegativeInteger),List(S),Integer,Integer)->_$`cFiniteGraph(S)``800079
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``800481
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`800576
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``800674
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``800773
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``800840
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``801031
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``801437
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``801812
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``802176
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``802554
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``802948
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803327
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``803419
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803662
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``803754
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803994
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``804086
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``804327
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``804419
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``804660
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``804752
omatrixConcat3D`3`n`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``804993
omatrixDimensions`1`n`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``805095
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``805164
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``805343
omatrix`1`n`(_$)->Matrix(R)`dIncidenceAlgebra(R,S)``805453
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``805533
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``805679
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``805825
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``805909
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``806031
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``806123
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``806213
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``806270
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``806617
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``806682
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`n`(_$)->NonNegativeInteger`dFiniteCubicalComplex(VS)``806849
omaxIndex`1`n`(_$)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``806880
omaxIndex`1`n`(_$)->NonNegativeInteger`dOrientedFacet``806911
omaxIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`806940
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``807129
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``807184
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``807384
omaxMixedDegree`1`x`(NonNegativeInteger)->_$`dGuessOption``807451
omaxPoints3D`0`n`()->Integer`dPlot3D``807790
omaxPoints`0`n`()->Integer`dPlot``807866
omaxPoints`0`x`()->Integer`pGraphicsDefaults``807939
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``808013
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``808084
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``808139
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``808440
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``808529
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``808616
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``808671
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``808810
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``808865
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`809225
omax`0`x`()->_$`dSingleInteger``809288
omax`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omax`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``809344
omax`1`x`(_$)->S`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`809529
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``809615
omax`2`n`((S,S)->Boolean,A)->S`xFiniteSetAggregate&(A,S)``0
omax`2`n`((S,S)->Boolean,A)->S`xHomogeneousAggregate&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``809692
omax`2`n`(_$,_$)->_$`cSPointCategory``809896
omax`2`x`((S,S)->Boolean,_$)->S`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`810173
omax`2`x`(_$,_$)->_$`cOrderedSet``810314
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``810408
omaxdeg`1`x`(_$)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``810566
omaximumExponent`0`n`()->Integer`dMachineFloat``810652
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``810726
omaxint`0`n`()->PositiveInteger`dMachineInteger``810810
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``810874
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)``810948
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)``811030
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``811113
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`811310
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812357
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812773
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812957
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``814039
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``814146
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``814717
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``814790
omeet`1`n`(List(_$))->_$`dLatticeJoinOfMeets``815019
omeet`1`n`(List(_$))->_$`dLatticeMeetOfJoins``815057
omeet`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``815095
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`815254
omeijerG`5`x`(List(_$),List(_$),List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`815327
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``815401
omeixnerM`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``815468
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``815535
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(Vector(R),_$)->Boolean`dVectorSpaceBasis(R)``815639
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``815738
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`815860
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(P)`dFiniteMoebiusFunction(P)``816090
omembers`1`n`(_$)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``816153
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`816216
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`816388
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``816480
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``816609
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``816712
omergeFactors`2`x`(_$,_$)->_$`dFactored(R)``816897
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``817220
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``817299
omerge`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xPoset&(A,S)``0
omerge`2`n`(_$,_$)->_$`cFiniteGraph(S)``817493
omerge`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``817686
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``817734
omerge`2`x`(_$,_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`817826
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``817953
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``818084
omerge`3`n`((S,S)->Boolean,A,A)->A`xLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,_$,_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`818262
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``818878
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``819092
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``819157
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``819226
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``819286
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``819352
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``819427
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``819654
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``819916
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``820662
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``821583
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``822147
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``822928
omessagePrint`1`n`(String)->Void`dOutputForm``823302
omessage`1`n`(String)->_$`dOutputForm``823442
omfactor`2`n`(U32Vector,Integer)->List(U32Vector)`pModularFactorization``0
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``823527
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``823598
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``823675
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``823780
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``823856
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``823949
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``824040
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`n`(_$)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``824078
ominIndex`1`n`(_$)->NonNegativeInteger`dOrientedFacet``824109
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`824138
ominPoints3D`0`n`()->Integer`dPlot3D``824325
ominPoints`0`n`()->Integer`dPlot``824401
ominPoints`0`x`()->Integer`pGraphicsDefaults``824474
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``824548
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``824619
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``824654
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`824689
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`824759
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``824828
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``824918
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`825006
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`825107
omin`0`x`()->_$`dSingleInteger``825170
omin`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omin`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``825227
omin`1`x`(_$)->S`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`825405
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``825491
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``825575
omin`2`n`(_$,_$)->_$`cSPointCategory``825772
omin`2`x`(_$,_$)->_$`cOrderedSet``826051
omindegTerm`1`x`(_$)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``826145
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``826222
omindeg`1`x`(_$)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``826380
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``826476
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``826594
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`826715
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`826794
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``826954
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``827030
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`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``827153
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``827311
ominimumExponent`0`n`()->Integer`dMachineFloat``827484
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``827558
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``827642
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`827766
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`827890
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)``827978
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``828060
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``828209
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``828361
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``828566
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``828619
omirror`1`n`(_$)->_$`dFreeMagma(VarSet)``828668
omirror`1`n`(_$)->_$`dFreeMonoid(S)``828880
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``828943
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``829025
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``829121
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``829221
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``829256
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``829417
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`829684
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``829805
omkcomm`1`x`(Integer)->_$`dCommutator``829866
omkcomm`2`x`(_$,_$)->_$`dCommutator``829906
ommul`3`n`(U32Matrix,U32Matrix,Integer)->U32Matrix`pModularFactorization``0
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``829951
omod_exp`3`n`(U32Vector,Integer,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->U32Vector`pModularFactorization``0
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``829997
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``830266
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``830504
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``831015
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``831494
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``831811
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``831966
omodpreduction`2`n`(MP,Integer)->MP`cModularEvaluationCategory(PT,MP)``832062
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``832152
omodularFactor`2`n`(UP,Set(NonNegativeInteger))->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``832243
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``832794
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``832929
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``833045
omodular_compose`6`n`(U32Vector,U32Matrix,U32Vector,NonNegativeInteger,NonNegativeInteger,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->U32Vector`pModularFactorization``0
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``833290
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`834209
omodule`1`n`(Vector(A))->_$`dFractionalIdealAsModule(R,F,UP,A,ibasis)``834285
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``834391
omodulus`0`n`()->Rep`dModMonic(R,Rep)``834454
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``834492
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``834547
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``834586
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``834625
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``834664
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``834790
omoebiusFunction`1`n`(List(P))->_$`dFiniteMoebiusFunction(P)``834922
omoebiusMatrix`1`n`(_$)->Matrix(Integer)`dFiniteMoebiusFunction(P)``835006
omoebiusMatrix`1`n`(_$)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``835064
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``835121
omoebiusMu`3`n`(_$,P,P)->Integer`dFiniteMoebiusFunction(P)``835398
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``835483
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``835711
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`835797
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``835925
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836048
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836166
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`836283
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`836389
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836472
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`836588
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`836704
omoment`2`n`(_$,NonNegativeInteger)->R`cDistributionCategory(R)``836833
omoments`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``836922
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``837008
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``837111
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``837292
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``837525
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,Ring)`837667
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)`has(R,Ring)`837858
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`838109
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`838346
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``838630
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``838807
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`838936
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`839175
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``839461
omonologextint`3`n`(List(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``839723
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)``839799
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``840227
omonom`2`x`(FreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``840318
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``840416
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``840483
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``840524
omonomial?`1`x`(_$)->Boolean`cIndexedDirectProductCategory(A,S)``840591
omonomial?`1`x`(_$)->Boolean`cMonoidRingCategory(R,M)``840732
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``840799
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``840872
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``841036
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->_$`cSolvableSkewPolynomialCategory(R,Expon)``841258
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``841356
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``841401
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``841446
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``841557
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``841670
omonomial`2`x`(R,M)->_$`cMonoidRingCategory(R,M)``841768
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``841856
omonomial`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``841936
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``842102
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``842222
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)``842280
omonomials`1`x`(_$)->List(_$)`cFreeModuleCategory(R,S)``842464
omonomials`1`x`(_$)->List(_$)`cMonoidRingCategory(R,M)``842549
omonotoneConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``842631
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``842749
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``842914
omonotoneCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`843039
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`843147
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``843356
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``843435
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``843708
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``843981
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``844062
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``844145
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``844273
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``844467
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``844719
omovedPoints`1`x`(_$)->Set(S)`dPermutation(S)``844975
omovedPoints`1`x`(_$)->Set(S)`dPermutationGroup(S)``845065
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``845143
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)``845327
omrv_cmp`4`n`(Kernel(Expression(Integer)),Kernel(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(sign:Integer,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``845502
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845525
omrv_limit`2`n`(Expression(Integer),Equation(OrderedCompletion(Expression(Integer))))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``845561
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845648
omrv_limit`3`n`(Expression(Integer),Symbol,OrderedCompletion(Expression(Integer)))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``845795
omrv_limit`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845876
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845898
omrv_normalize`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Expression(Integer)`pMrvLimitPackage``846000
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``846108
omrv_rewrite`5`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``846135
omrv_set`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(lk:List(Kernel(Expression(Integer))),lc:List(Expression(Integer))),"failed")`pMrvLimitPackage``846150
omrv_sign`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Integer,"failed")`pMrvLimitPackage``0
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``846180
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``846372
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``846609
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``846783
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``846817
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``846902
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``846953
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``847010
omultiIndex`1`n`(_$)->List(NonNegativeInteger)`cJetBundleCategory``847233
omulti_SPDE`5`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),List(SparseUnivariatePolynomial(F)),Integer,(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Union(List(Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))),Record(ans:List(SparseUnivariatePolynomial(F)),acoeff:SparseUnivariatePolynomial(F),eegen:SparseUnivariatePolynomial(F),bpar:SparseUnivariatePolynomial(F),lcpar:List(SparseUnivariatePolynomial(F)),dpar:Integer))`pRDEaux(--F)``847317
omultifunctionGraph`1`n`(List(Permutation(S)))->_$`dMultifunctionGraph(S)``847368
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->_$`dMultifunctionGraph(S)``847420
omultifunctionGraph`1`n`(List(S))->_$`dMultifunctionGraph(S)``847524
omultifunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dMultifunctionGraph(S)``847796
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dMultifunctionGraph(S)``847911
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``847981
omultiple?`1`n`(_$)->Boolean`dPattern(R)``848102
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``848247
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``848553
omultiplicative?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``848823
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``848940
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``849110
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``849327
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``849552
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``849688
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``849859
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``849987
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``850109
omultiset`0`x`()->_$`dMultiset(S)``850256
omultiset`1`x`(List(S))->_$`dMultiset(S)``850337
omultiset`1`x`(S)->_$`dMultiset(S)``850413
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``850483
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``850586
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``850689
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``850824
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``850959
omultivector`1`x`(List(K))->_$`dCliffordAlgebra(n,K,bLin)``851013
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``851094
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``851195
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`(_$)->V`cRecursivePolynomialCategory(R,E,V)``851334
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``851525
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``851677
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``851716
onaiveBeckermannLabahn1`7`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn1`7`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``851743
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``852317
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``852891
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``853444
oname`1`n`(_$)->Symbol`cJetBundleCategory``853997
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``854067
oname`1`n`(_$)->Symbol`dKernel(S)``854108
oname`1`n`(_$)->Symbol`dRuleCalled(f)``854172
oname`1`x`(_$)->Name`cFileCategory(Name,S)``854213
oname`1`x`(_$)->String`cFileNameCategory``854283
oname`1`x`(_$)->Symbol`dBasicOperator``854345
oname`1`x`(_$)->_$`dSymbol``854399
onamedBranch`2`n`(List(_$),List(String))->_$`dSceneNamedPoints(PT)``854459
onamedPoints`2`n`(List(PT),List(String))->_$`dSceneNamedPoints(PT)``854541
onamedPoints`2`n`(List(Scene(PT)),List(String))->_$`dSceneNamedPoints(PT)``854616
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``854690
onand`2`x`(_$,_$)->_$`dBoolean``854789
onary?`1`x`(_$)->Boolean`dBasicOperator``854871
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``854935
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``855099
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``855263
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``855462
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``855539
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``855616
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``855691
onegative?`1`x`(_$)->Boolean`cOrderedRing``855806
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``855881
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``855981
onewLine`0`x`()->String`pDisplayPackage``856085
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``856145
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``856262
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``856369
onew`0`n`()->_$`dHashState``856413
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``856457
onew`0`n`()->_$`dPatternMatchResult(R,S)``856511
onew`0`n`()->_$`dScriptFormulaFormat``856565
onew`0`n`()->_$`dSubSpace(n,R)``856740
onew`0`n`()->_$`dSubSpaceComponentProperty``856774
onew`0`n`()->_$`dTexFormat``856808
onew`0`x`()->_$`dSymbol``856979
onew`1`x`(_$)->_$`dSymbol``857047
onew`2`n`(List(C),Integer)->_$`dSparseEchelonMatrix(C,D)``857124
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``857312
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``857414
onew`3`x`(String,String,String)->_$`cFileNameCategory``857512
onewline`0`x`()->_$`dCharacter``857830
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``857886
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``858248
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``858587
onextItem`1`n`(A)->Union(A,"failed")`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(_$)->Union(_$,"failed")`cStepThrough``859294
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``859381
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``859824
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``860660
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``861654
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``862062
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``862470
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``862554
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``863615
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``864439
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``864535
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``865592
onext_subResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`865746
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``865964
onilFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``866160
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`866315
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``866624
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``866724
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`866967
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``867099
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``867226
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``867348
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``867445
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``867571
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``867692
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)``867822
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``867903
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``867943
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`868072
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``868201
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``868302
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``868403
onor`2`x`(_$,_$)->_$`dBoolean``868500
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``868580
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``868621
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``868664
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)``868764
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``868895
onorm`1`n`(_$)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``868957
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``869020
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``869138
onorm`1`x`(_$)->R`cComplexCategory(R)``869280
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``869341
onorm`1`x`(_$)->R`cOctonionCategory(R)``869456
onorm`1`x`(_$)->R`cQuaternionCategory(R)``869566
onorm`1`x`(_$)->_$`cRealNumberSystem``869662
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``869719
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``869801
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``869898
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``870029
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``870161
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``870298
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`870436
onormal01`0`n`()->Float`pRandomFloatDistributions``870740
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``870779
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``870944
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`871042
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``871325
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``871460
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`871562
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``872010
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,Dpol)`has(Dom,Field)`872120
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``872296
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``872544
onormalisePoint`1`n`(_$)->_$`dSConformal(n)``872587
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``872680
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``872845
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``872917
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``873025
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``873145
onormalize`1`x`(_$)->_$`dFloat``873203
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``873272
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``873343
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``873690
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``873781
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``873958
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``874152
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``874277
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``874445
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``874730
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`874933
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``875136
onot`1`x`(_$)->_$`cBitAggregate``875192
onot`1`x`(_$)->_$`dBoolean``875270
onot`1`x`(_$)->_$`dSingleInteger``875324
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``875418
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)``875501
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``876087
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``876161
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``876235
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:NonNegativeInteger)))`pMultivariateSquareFree(E,OV,R,P)``876307
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``876345
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``876431
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dFreeMonoid(S)``876517
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``876603
onthFactor`2`n`(_$,Integer)->S`dFreeMonoid(S)``876688
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``876773
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``876858
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``876972
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``877283
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``877354
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``877413
onullBoundary`0`n`()->_$`dSBoundary(PT)``877494
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``877619
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`877763
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`877849
onullSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``877935
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`878160
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`878246
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`878332
onullary?`1`x`(_$)->Boolean`dBasicOperator``878419
onullary`1`x`(A)->()->A`pMappingPackage1(A)``878477
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``878561
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`878694
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`878827
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`878960
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``879093
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumFunEvals3D`0`n`()->Integer`dPlot3D``879160
onumFunEvals`0`n`()->Integer`dPlot``879229
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``879295
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`879364
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``879419
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``879467
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``879559
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``879651
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``879846
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``880312
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``880491
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``880593
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``880786
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``881075
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``881161
onumberOfHues`0`x`()->PositiveInteger`dColor``881302
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``881385
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``881907
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``882080
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``882178
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cMonoidRingCategory(R,M)``882258
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``882369
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``882515
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumerJP`1`n`(_$)->SparseMultivariatePolynomial(Expression(Integer),JB)`dJetBundleExpression(JB)``882667
onumer`1`n`(_$)->A`dLocalAlgebra(A,R)``882738
onumer`1`n`(_$)->M`dLocalize(M,R)``882795
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``882852
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``882936
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``883007
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`883117
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``883356
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`883417
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``883495
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``883581
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`883779
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`883896
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`884013
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`884130
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`884282
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`884434
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`884586
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`884653
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`884720
onumeric`1`x`(S)->Float`pNumeric(S)``884787
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`884854
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`884956
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`885058
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``885160
oobj`1`x`(_$)->None`dAny``885262
oobjectOf`1`x`(_$)->OutputForm`dAny``885414
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
oobjectToIndex`2`n`(_$,S)->NonNegativeInteger`cPoset(S)``885526
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``885569
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``885800
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``886147
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``886258
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`886368
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``886435
oodd?`1`x`(_$)->Boolean`dPermutation(S)``886509
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``886642
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``886793
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``886901
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``887130
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``887200
ooddlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``887526
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``887903
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``887993
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``888120
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``888276
oomega`0`n`()->_$`dSmallOrdinal``888344
oomegapower`1`n`(_$)->_$`dSmallOrdinal``888396
oone?`1`n`(S)->Boolean`xJetBundleCategory&(S)``0
oone?`1`n`(S)->Boolean`xMagmaWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`n`(_$)->Boolean`cJetBundleCategory``888440
oone?`1`x`(_$)->Boolean`cMagmaWithUnit``888533
oone?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``888593
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``888699
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``888786
ooneSkeleton`1`n`(_$)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``888886
ooneSkeleton`1`n`(_$)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``888924
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``888962
oone`1`x`(Boolean)->_$`dGuessOption``889052
oopType`1`n`(_$)->Symbol`dILogic``889177
oopType`1`n`(_$)->Symbol`dLatticeJoinOfMeets``889363
oopType`1`n`(_$)->Symbol`dLatticeMeetOfJoins``889549
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``889735
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``889810
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``889874
ooperation`1`n`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``889991
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``890077
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``890309
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``890479
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``890569
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``890741
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``890820
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``890932
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``891046
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``891224
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``891293
ooperator`1`x`(Symbol)->_$`dBasicOperator``891405
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``891485
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``891562
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``891679
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`x`(_$,_$)->Boolean`cAbelianMonoid``891732
oopposite`1`n`(A)->A`xPoset&(A,S)``0
oopposite`1`n`(_$)->_$`cPoset(S)``891818
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``891906
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``892107
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``892296
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dGuessOption``892439
ooptional?`1`n`(_$)->Boolean`dPattern(R)``892506
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``892610
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``892784
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``892922
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``893150
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``893379
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``893674
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``893960
oor`2`n`(_$,_$)->_$`dOutputForm``894076
oor`2`x`(_$,_$)->_$`cBitAggregate``894132
oor`2`x`(_$,_$)->_$`dBoolean``894223
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``894317
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``894525
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``894714
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``894905
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``895011
oord`1`x`(_$)->Integer`dCharacter``895146
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorderDim`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``895287
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)``895506
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``895543
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``895658
oorder`1`n`(S)->Integer`xFiniteGroup&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`cFiniteGroup``895695
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``895766
oorder`1`n`(_$)->NonNegativeInteger`cFacetCategory``895803
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``895829
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``895923
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``896022
oorder`1`n`(_$)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``896178
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``896259
oorder`1`x`(_$)->Integer`cFloatingPointSystem``896415
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``896535
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``896741
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``896858
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``896954
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``897041
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``897106
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``897229
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`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``897365
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``897452
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``897573
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``897699
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`897854
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``898021
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``898068
oordinalAdd`2`n`(_$,_$)->_$`dSmallOrdinal``898141
oordinalMul`2`n`(_$,_$)->_$`dSmallOrdinal``898231
oordinalPower`2`n`(_$,_$)->_$`dSmallOrdinal``898325
oorientedFacetIfCan`1`n`(List(_$))->Union(_$,"failed")`dOrientedFacet``898490
oorientedFacetSigned`1`n`(List(Integer))->_$`dOrientedFacet``898771
oorientedFacetUnsigned`1`n`(List(Integer))->_$`dOrientedFacet``898904
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->_$`dOrientedFacet``898990
oorientedFacet`2`n`(Integer,OrientedFacet)->_$`dOrientedFacet``899169
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`899214
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`899299
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``899384
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ooutDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``899549
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`899652
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``899798
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``900203
ooutputAsFortran`1`n`(_$)->Void`cFortranProgramCategory``900310
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``900396
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``900566
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``900640
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``900792
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``900980
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``901132
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``901293
ooutputFixed`0`x`()->Void`dFloat``901417
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``901532
ooutputFloating`0`x`()->Void`dFloat``901665
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``901848
ooutputForm`1`n`(Integer)->_$`dOutputForm``902003
ooutputForm`1`n`(String)->_$`dOutputForm``902069
ooutputForm`1`n`(Symbol)->_$`dOutputForm``902134
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``902199
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``902384
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``902506
ooutputGeneral`0`x`()->Void`dFloat``903100
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``903291
ooutputList`1`x`(List(Any))->Void`pOutputPackage``903407
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``903617
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlAttribute``903757
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlElement``904035
ooutput`1`x`(OutputForm)->Void`pOutputPackage``904311
ooutput`1`x`(String)->Void`pOutputPackage``904459
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``904602
oover`2`n`(_$,_$)->_$`dOutputForm``904780
ooverbar`1`n`(_$)->_$`dOutputForm``904875
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``904943
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dFreeMonoid(S)``905038
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``905247
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``905390
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``905476
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``905564
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``905639
opack!`1`x`(_$)->_$`dLibrary``905725
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``905811
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``905888
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``906061
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``906224
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``906313
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``906440
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``906666
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``906978
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``907300
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``907624
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``907889
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``908034
opalgLODE0`6`n`(L,F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`908113
opalgLODE0`8`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`908303
opalgLODE`5`n`(L,F,Kernel(F),Kernel(F),Symbol)->Record(particular:Union(F,"failed"),basis:List(F))`pPureAlgebraicIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`908634
opalgRDE0`7`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),F,SparseUnivariatePolynomial(F))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``908770
opalgRDE0`9`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``909254
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``909864
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``910287
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``910470
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``910866
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``910997
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``911147
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``911395
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``911603
oparallel`2`n`(_$,_$)->DoubleFloat`cSPointCategory``911862
oparam_LODE`4`n`(List(F),List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``912070
oparam_RDE`4`n`(F,List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``912115
oparam_rde2`6`n`(F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``912159
oparam_rde`7`n`(Integer,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``912428
oparam_rde`8`n`(Integer,F,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricRischDE(R,F)``912705
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``913042
oparametric?`1`n`(_$)->Boolean`dPlot``913131
oparen`1`n`(List(_$))->_$`dOutputForm``913201
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``913329
oparen`1`x`(_$)->_$`cExpressionSpace``913404
oparent`1`n`(_$)->_$`dSubSpace(n,R)``913627
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``913810
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``914061
oparseIL`1`n`(String)->_$`dILogic``914210
oparseLambda`1`n`(String)->_$`dLambda(UT)``914422
oparseSki`1`n`(String)->_$`dSKICombinators(UT)``915007
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dLambda(UT)``915051
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dSKICombinators(UT)``915208
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`cVarCat``915359
oparseVar`1`n`(String)->_$`cVarCat``915488
oparse_integer`1`n`(String)->Integer`pScanningUtilities``915536
oparse`1`n`(String)->_$`dInputForm``915615
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``915697
opartialFraction`1`x`(Fraction(R))->_$`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`915949
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``916091
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``916244
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``916410
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``916646
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``916892
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``917149
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``917360
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``917577
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``917774
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``917976
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`918026
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`918240
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`918432
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`918646
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``918838
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``918943
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``919048
opartition`1`n`(List(Integer))->_$`dPartition``919392
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``919480
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``919661
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``919734
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``919909
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``920117
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`920202
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``920339
opastel`1`x`(Color)->_$`dPalette``920492
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)``920588
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)``920855
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`921173
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``921378
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``921573
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``921759
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``921967
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`922150
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``922339
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)``922530
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``922751
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)``923060
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)``923323
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``923712
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``923909
opdct`1`n`(_$)->Integer`dPartition``924012
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``924161
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``924282
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``924448
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``924591
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``924719
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``924830
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``924909
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``926177
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``926289
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``926401
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``926621
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``926889
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``927134
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``927323
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``927490
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``927639
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``927800
operpendicular`2`n`(_$,_$)->_$`cSPointCategory``927918
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``928127
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``928382
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``928638
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``928758
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``928860
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``928917
opi`0`x`()->_$`cTranscendentalFunctionCategory``929058
opi`0`x`()->_$`dPi``929116
opile`1`n`(List(_$))->_$`dOutputForm``929176
opivot`2`n`(_$,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``929376
opivots`1`n`(_$)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``929508
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``929612
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``929773
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``930161
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``930634
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``930861
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``931084
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``931197
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``931319
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``931413
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``931552
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``931593
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``931634
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``931785
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``931946
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``932152
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``932237
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``932367
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``932553
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``932818
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``932893
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``933089
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``933141
oplus`2`n`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`933189
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))`933290
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))`933512
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))`933648
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``933805
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``933969
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``934057
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``934167
opointColor`1`x`(Float)->_$`dDrawOption``934396
opointColor`1`x`(Palette)->_$`dDrawOption``934539
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``934710
opointList`1`n`(_$)->List(PT)`dSceneIFS(PT)``934830
opointList`1`x`(_$)->List(S)`dPermutationGroup(S)``934899
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``934959
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``935121
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``935312
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``935482
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``935766
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``935827
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``935917
opoint`1`x`(List(R))->_$`cPointCategory(R)``936017
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``936130
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``936250
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``936430
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``936689
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``936854
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``937099
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``937457
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``937705
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``937975
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``938066
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``938105
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``938583
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`938696
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``938811
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``939026
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``939165
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``939240
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``939307
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``939712
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``940132
opoly_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``940194
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``940256
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``940352
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``940436
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``940520
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``940660
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``940810
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``941005
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``941234
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``941605
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``941784
opolylog`2`x`(_$,_$)->_$`cSpecialFunctionCategory``941865
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``941947
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``942071
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``942195
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``942349
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``942503
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``942542
opop!`1`x`(_$)->S`cStackAggregate(S)``942710
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``942922
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``942990
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``943053
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``943116
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``943179
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``943242
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dBinaryFile``943305
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``943381
oposition`1`x`(_$)->SingleInteger`dBinaryFile``943460
oposition`2`n`((S)->Boolean,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(_$,List(_$))->Integer`dCubicalFacet``943542
oposition`2`n`(_$,List(_$))->Integer`dOrientedFacet``943649
oposition`2`x`((S)->Boolean,_$)->Integer`cLinearAggregate(S)`has(_$,finiteAggregate)`943756
oposition`2`x`(S,_$)->Integer`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`943945
oposition`3`n`(S,A,Integer)->Integer`xLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(CharacterClass,_$,Integer)->Integer`cStringAggregate``944104
oposition`3`x`(S,_$,Integer)->Integer`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`944329
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``944520
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``944724
opositive?`1`x`(_$)->Boolean`cOrderedRing``944839
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``944917
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`945017
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``945148
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``945273
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``945369
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``945495
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``945591
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``946448
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``946561
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``946760
opostfix`2`n`(_$,_$)->_$`dOutputForm``946929
opowToUPS`2`n`(List(FE),Record(pos_Check?:Boolean,atan_Flag:Union("complex","real: two sides","real: left side","real: right side","just do it"),coeff_check?:Union((FE)->Boolean,"none"),inv_check?:Union((FE)->Boolean,"none"),zero_check?:Union((FE)->Boolean,"none"),log_x_replace:Boolean,log_x_val:FE))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``947005
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``947060
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``947094
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``947243
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``947528
opowerSetStructure`1`n`(S)->_$`cPoset(S)``947634
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``947820
opower_matrix`3`n`(U32Vector,NonNegativeInteger,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->Record(matr:U32Matrix,poly:U32Vector)`pModularFactorization``0
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`947908
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`948000
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``948081
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``948375
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``948481
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``948566
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``948721
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``948860
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``948919
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``949069
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``949284
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``949387
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``949490
oprecision`0`n`()->PositiveInteger`dMachineFloat``949617
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``949685
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``949749
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`949827
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``949912
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``949972
opredicates`1`n`(_$)->List(Any)`dPattern(R)``950125
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``950267
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``950442
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``950660
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``950810
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``950966
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``951106
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``951221
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``951336
opresub`2`n`(_$,_$)->_$`dOutputForm``951445
opresuper`2`n`(_$,_$)->_$`dOutputForm``951530
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``951619
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``951709
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``951793
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`951965
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`952067
oprimaryDecomp`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl)``952215
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``952331
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``952412
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``953617
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``953679
oprimeFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``953843
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``953994
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``954085
oprime`1`n`(_$)->_$`dOutputForm``954183
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``954275
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``954358
oprimextint`4`n`((UP)->UP,(List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``954449
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``954716
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``954928
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``955077
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``955321
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``955521
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``955807
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`956260
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``956614
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``957072
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`957452
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`957653
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`957726
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``957849
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`957972
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`958096
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`958295
oprimitiveRowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`958462
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``958844
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``958878
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``958958
oprincipalSubResultantSet`2`n`(SparseUnivariatePolynomial(Polynomial(TheField)),SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``959188
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``959226
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``959266
oprintCode`1`n`(_$)->Void`dFortranCode``959305
oprintHeader`0`n`()->Void`dTheSymbolTable``959373
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``959521
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``959667
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``959813
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStatement`1`n`(List(OutputForm))->_$`dFortranCode``960029
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``960108
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``960159
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``960313
oprintTypes`1`n`(_$)->Void`dSymbolTable``960434
oprint`1`n`(_$)->Void`dOutputForm``960555
oprint`1`x`(OutputForm)->Void`pPrintPackage``960604
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``960715
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``960835
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``961009
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``961136
oprod`1`n`(_$)->_$`dOutputForm``961249
oprod`2`n`(_$,_$)->_$`dOutputForm``961337
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``961457
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``961618
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->_$`dProductFacet``961863
oproductFacet`2`n`(Integer,ProductFacet)->_$`dProductFacet``961900
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``961948
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``962056
oproduct`2`n`(_$,_$)->List(ProductFacet)`dOrientedFacet``962212
oproduct`2`n`(_$,_$)->_$`dCubicalFacet``962702
oproduct`2`n`(_$,_$)->_$`dFiniteCubicalComplex(VS)``962822
oproduct`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``962869
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``963353
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``963461
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``963617
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``964104
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``964388
oproject`2`n`(_$,NonNegativeInteger)->_$`dJetDifferentialEquation(JB,D)``964476
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``964628
oprojection`1`n`(_$)->Union(_$,"failed")`dCell(TheField)``964690
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``964766
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``964810
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``965104
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``965392
oprologue`1`n`(_$)->List(String)`dScriptFormulaFormat``965742
oprologue`1`n`(_$)->List(String)`dTexFormat``965830
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``965910
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``966034
oprolong`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``966110
oprolong`2`n`(_$,NonNegativeInteger)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``966246
oprolong`2`n`(_$,NonNegativeInteger)->_$`dJetVectorField(JB,D)``966375
oproperties`1`x`(_$)->AssociationList(Symbol,None)`dBasicOperator``966503
oproperty`2`x`(_$,Symbol)->Union(None,"failed")`dBasicOperator``966604
oproposition`1`n`(String)->_$`dILogic``966733
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`966765
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``966964
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`967177
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``967371
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`967474
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)``967722
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)``967851
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)``968004
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)``968158
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``968306
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)``968536
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``968713
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)``968955
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``969133
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``969376
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``969588
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``969847
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``970114
optree`1`x`(S)->_$`dPendantTree(S)``970216
optree`2`x`(_$,_$)->_$`dPendantTree(S)``970263
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``970305
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``970488
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``970558
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``970673
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``970918
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``970974
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``971148
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``971396
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``971642
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``971782
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``972126
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``972269
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``972468
opurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``972619
opush!`2`x`(S,_$)->S`cStackAggregate(S)``972750
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``973015
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``973101
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``973187
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``973235
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``973282
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``973428
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``973577
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``973721
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``973853
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``973899
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``973944
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``974098
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``974305
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``974754
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``974972
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``975221
oqcoerce`1`x`(Integer)->_$`dNonNegativeInteger``975554
oqcoerce`1`x`(Integer)->_$`dPositiveInteger``975647
oqconvert`1`x`(Integer)->_$`dSingleInteger``975737
oqcumulant2nthmoment`3`n`(R,Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``975831
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``975968
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``976274
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``976474
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``976652
oqlog`1`x`(_$)->_$`dDoubleFloat``976781
oqnew`1`n`(Integer)->_$`dComplexDoubleFloatVector``976873
oqnew`1`n`(Integer)->_$`dDoubleFloatVector``976950
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``977027
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``977103
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`977200
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``977418
oqsetfirst!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
oqsetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`977604
oqsetrest!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oqsetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`977730
oqsqrt`1`x`(_$)->_$`dDoubleFloat``977846
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``977934
oquadraticNonResidue`0`n`()->_$`dInnerPrimeField(p)``978034
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``978158
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``978244
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``978285
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``978336
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``978375
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``978434
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``978638
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``978790
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``978965
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``979143
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``979224
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``979305
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``979376
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``979447
oqueue`1`x`(List(S))->_$`dQueue(S)``979525
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``979690
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``979815
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``980082
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``980139
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``980251
oquote`0`x`()->_$`dCharacter``980348
oquote`1`n`(_$)->_$`dOutputForm``980419
oquoted?`1`n`(_$)->Boolean`dPattern(R)``980489
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``980580
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``980807
oquotient`2`n`(_$,List(List(Integer)))->_$`dGroupPresentation``980882
oquotient`2`n`(_$,List(NonNegativeInteger))->_$`dGroupPresentation``980943
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``981007
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``981162
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``981269
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``981340
orCoord`1`n`(Point(R))->R`pPointPackage(R)``981411
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``981682
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``981702
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``981723
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``981743
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``981763
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``981784
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``981804
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``981932
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``982086
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``982287
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``982468
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``982706
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``982861
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl)``983035
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``983353
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``983550
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``983716
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``983912
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``984090
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``984262
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``984458
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``984651
oradical`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``984878
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``984946
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``985031
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``985193
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``985260
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``985330
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``985397
orandnum`0`x`()->Integer`pRandomNumberSource``985500
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``985565
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``985635
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``985699
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``985755
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xFramedModule&(S,R)``0
orandom`0`n`()->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
orandom`0`x`()->_$`cFinite``985815
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``985877
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``986007
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``986091
orandom`1`x`(_$)->_$`cIntegerNumberSystem``986230
orandom`1`x`(_$)->_$`dInteger``986301
orandom`1`x`(_$)->_$`dNonNegativeInteger``986372
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``986443
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``986620
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``986729
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``986809
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``986928
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``987053
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``987178
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``987346
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``987478
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``987685
orank`0`n`()->PositiveInteger`cFramedModule(R)``987940
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``987992
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``988046
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``988119
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``988181
orank`1`n`(_$)->NonNegativeInteger`dVectorSpaceBasis(R)``988244
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`988351
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`988414
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`988477
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``988540
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``988683
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``988800
orarrow`2`n`(_$,_$)->_$`dOutputForm``988917
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``988992
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``989130
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``989248
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``989389
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``989522
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``989846
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``990102
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``990426
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``990682
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``990810
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`990917
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``990984
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`991085
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`991201
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`991397
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`991517
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`991591
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``991665
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``991802
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``991939
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``992119
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`992297
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`992441
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)``992608
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`992727
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``992849
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`992954
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`993069
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`993294
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`993404
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`993516
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``993629
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``993712
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``993795
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`993878
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``993961
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``994059
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``994153
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)``994190
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`994299
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``994409
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`994496
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`994616
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`994827
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`994987
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`995104
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``995219
oratpart`1`n`(_$)->F`dIntegrationResult(F)``995321
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``995398
orc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``995519
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``995558
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)``995607
oread!`1`x`(_$)->S`cFileCategory(Name,S)``995680
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``995844
oreadIfCan!`1`x`(_$)->Union(SingleInteger,"failed")`dBinaryFile``996039
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``996234
oreadLine!`1`x`(_$)->String`dTextFile``996447
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``996541
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``996758
oreal?`1`n`(_$)->Boolean`dFortranScalarType``996849
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``996935
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``997000
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``997065
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``997281
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``997567
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``997723
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``997918
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``998191
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``998481
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``998600
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``998920
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``999016
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``999296
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``999402
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``999613
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``999730
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1000653
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1000784
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1000915
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1001076
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1001237
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1001433
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1001629
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1001858
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1002087
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1002181
oreal`1`x`(_$)->R`cComplexCategory(R)``1002275
oreal`1`x`(_$)->R`cOctonionCategory(R)``1002328
oreal`1`x`(_$)->R`cQuaternionCategory(R)``1002391
orecip`0`n`()->_$`dMoebiusTransform(F)``1002460
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xEntireRing&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``1002567
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1002670
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1002707
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``1002744
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1002788
orecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``1003021
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,bLin)``1003223
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)``1003337
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1003510
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1003600
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1003770
oreconstruct`2`n`(_$,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1003868
oreconstruct`5`n`(_$,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1003955
oreconstruct`7`n`(Integer,Vector(Integer),Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1004019
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``1004122
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1004247
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1004370
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,Dpol)``1004446
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1004480
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1004515
ored_pol`2`n`(U32Vector,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->Void`pModularFactorization``0
ored`0`x`()->_$`dColor``1004708
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1004781
oredpps`2`n`(Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))),List(GR))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``1004921
oreduceBasis0`4`n`(TwoDimensionalArray(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``1005038
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1005203
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1005319
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1005434
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1005793
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oreduceMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1006050
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1006150
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)->_$`dModMonic(R,Rep)``1006237
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1006275
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dJetBundleExpression(JB)``1006425
oreduce`1`n`(_$)->_$`dJetBundleXExpression(JB)``1006481
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1006541
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``1006625
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``1006778
oreduce`1`x`(_$)->_$`dAlgebraicNumber``1006909
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`1007038
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1007170
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``1007213
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``1007256
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,finiteAggregate)`1007299
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)``1007629
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1007798
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1008191
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1008545
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1008893
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1009062
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1009420
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1009568
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1009910
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,finiteAggregate)`1010244
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1010644
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`x`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1010877
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1011266
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``1011830
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1011949
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``1012043
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``1012276
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1012605
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``1012657
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1012917
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitOver(R)``1013087
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(F),List((F)->F))->Matrix(F)`pConstantLinearDependence(R,F)``1013225
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`x`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitOver(R)``1013385
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1013550
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1013746
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1013910
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1014021
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon)``1014108
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``1014219
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``1014404
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1014585
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``1014625
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``1014665
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``1014774
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`1014885
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``1015052
oredux`1`n`(_$)->_$`dILogic``1015184
oredux`1`n`(_$)->_$`dLambda(UT)``1015338
oredux`1`n`(_$)->_$`dLatticeJoinOfMeets``1015409
oredux`1`n`(_$)->_$`dLatticeMeetOfJoins``1015442
oredux`1`n`(_$)->_$`dSKICombinators(UT)``1015475
oref`1`n`(S)->_$`dReference(S)``1015587
orefactorIndexes`2`n`(_$,NonNegativeInteger)->_$`dFiniteSimplicialComplex(VS)``1015662
orefactorIndexes`2`n`(_$,NonNegativeInteger)->_$`dOrientedFacet``1015758
orefactor`1`n`(_$)->_$`dGroupPresentation``1015858
orefine`1`n`(_$)->_$`dPlot3D``1016080
orefine`1`n`(_$)->_$`dPlot``1016118
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1016185
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1016266
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``1016685
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``1016730
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1016773
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1016816
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1016999
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``1017182
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``1017490
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``1017798
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1018657
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1018939
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``1019056
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1019294
oreindex`1`n`(_$)->_$`dOrientedFacet``1019566
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``1019635
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1019921
orelationsInGenerators`1`x`(_$)->List(List(Integer))`dPermutationGroup(S)``1020033
orelationsInStrongGenerators`1`x`(_$)->List(List(Integer))`dPermutationGroup(S)``1020112
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``1020204
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1020312
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1020440
orelerror`2`x`(_$,_$)->_$`dFloat``1020570
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``1020673
orem`2`x`(_$,_$)->_$`cEuclideanDomain``1020730
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``1020843
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1020913
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1020941
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1021246
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)``1021478
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1021544
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1021687
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1021811
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1022003
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`1022132
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``1022219
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``1022520
oremoveChild!`2`n`(_$,_$)->Void`dScene(PT)``1022773
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1022874
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1022986
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1023163
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`1023344
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``1023427
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`x`(_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1023529
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1023619
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1023912
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1024261
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1024582
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1025273
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1025563
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1025854
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1025959
oremoveRepeats!`1`n`(_$)->_$`dIndexedFlexibleArray(S,mn)``1026176
oremoveRepeats!`1`x`(_$)->_$`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1026298
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1026642
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1026796
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1027086
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1027366
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1027543
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1027724
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1027885
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1027990
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1028095
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1028274
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1028453
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``1028717
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1029281
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``1029820
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1029935
oremoveZeros`2`n`(_$,Expon)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1030402
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1030511
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1030555
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``1030897
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1031089
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1031271
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1031464
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``1031620
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``1031906
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``1032144
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``1032213
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``1032284
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``1032477
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1032621
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1032765
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1032909
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1033042
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1033200
orepeatUntilLoop`2`n`(Switch,_$)->_$`dFortranCode``1033403
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeatedIndex`1`n`(_$)->List(PositiveInteger)`cJetBundleCategory``1033485
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`1033599
orepeating`1`x`(List(S))->_$`dStream(S)``1033737
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``1033821
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``1034022
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1034130
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
orepresents`1`n`(Vector(R))->_$`cFramedModule(R)``1034287
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``1034441
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``1034595
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``1034694
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``1034818
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1034922
oresetBadValues`1`n`(_$)->_$`dPattern(R)``1034996
oresetNew`0`x`()->Void`dSymbol``1035156
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1035283
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``1035407
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``1035623
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1035843
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1035966
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1036217
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->_$`dFreeMagma(VarSet)``1036472
orest`1`n`(_$)->_$`dFreeMonoid(S)``1036609
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``1036673
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``1036750
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1036914
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)``1037054
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1037153
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1037358
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1037469
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1037628
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1037722
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1037801
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1037897
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1038111
oresultant`3`x`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1038213
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`cFortranFunctionCategory``1038352
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1038481
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1038823
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1038952
oretractIfCan`1`n`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1039294
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1039636
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``1039680
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1039809
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``1040151
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1040280
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1040622
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleXExpression(JB)``1040710
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1040832
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1040961
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1041090
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1041219
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1041348
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1041477
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``1041606
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1041735
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1042077
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1042206
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(JB,"failed")`xJetBundleFunctionCategory&(S,JB)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(_$,"failed")`cRetractableFrom(S)``1042548
oretractIfCan`1`n`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1042686
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1042960
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1043089
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1043218
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1043347
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1043476
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1043605
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1043734
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1043900
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1044027
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1044154
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``1044281
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Expression(Float))->_$`cFortranFunctionCategory``1044431
oretract`1`n`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1044555
oretract`1`n`(Expression(Integer))->_$`cFortranFunctionCategory``1044884
oretract`1`n`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1045008
oretract`1`n`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1045337
oretract`1`n`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``1045666
oretract`1`n`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1045790
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``1046119
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1046243
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1046572
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleXExpression(JB)``1046699
oretract`1`n`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``1046826
oretract`1`n`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``1046950
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``1047074
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``1047198
oretract`1`n`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``1047322
oretract`1`n`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``1047446
oretract`1`n`(Polynomial(Float))->_$`cFortranFunctionCategory``1047570
oretract`1`n`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1047694
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cFortranFunctionCategory``1048023
oretract`1`n`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1048147
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->A`xRetractableFrom&(A,S)``0
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Kernel(S)`xExpressionSpace&(S)``0
oretract`1`n`(S)->Kernel(S)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->_$`cRetractableFrom(S)``1048476
oretract`1`n`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1048599
oretract`1`n`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``1048860
oretract`1`n`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``1048984
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``1049108
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``1049232
oretract`1`n`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``1049356
oretract`1`n`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``1049480
oretract`1`n`(_$)->List(D)`dJetDifferentialEquation(JB,D)``1049604
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1049695
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1049859
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1050026
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1050193
oretract`1`x`(_$)->S`cRetractableTo(S)``1050360
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``1050495
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1050601
oretractable?`1`n`(_$)->Boolean`dFreeMagma(VarSet)``1050728
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``1050807
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1050886
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1050982
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1051080
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1051204
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``1051331
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1051458
oreturns`0`n`()->_$`dFortranCode``1051547
oreturns`1`n`(Expression(Complex(Float)))->_$`dFortranCode``1051627
oreturns`1`n`(Expression(Float))->_$`dFortranCode``1051730
oreturns`1`n`(Expression(Integer))->_$`dFortranCode``1051833
oreturns`1`n`(Expression(MachineComplex))->_$`dFortranCode``1051936
oreturns`1`n`(Expression(MachineFloat))->_$`dFortranCode``1052039
oreturns`1`n`(Expression(MachineInteger))->_$`dFortranCode``1052142
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)``1052245
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``1052355
oreverse!`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`1052528
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1052607
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1052804
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``1052873
oreverse`1`x`(_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`1053092
oreverse`1`x`(_$)->_$`cSegmentCategory(S)`has(S,OrderedRing)`1053176
oreverse`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1053244
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``1053350
orevert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``1053537
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1053732
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1054038
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1054441
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1054725
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``1055322
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``1056150
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``1056206
orhs`1`x`(_$)->S`dEquation(S)``1056277
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1056352
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1056466
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1056580
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1056801
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1056968
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1057189
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1057356
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1057630
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1057904
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1057959
oriemannZeta`1`x`(_$)->_$`cSpecialFunctionCategory``1058017
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1058076
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1058303
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1058530
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1058690
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1059063
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``1059436
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1059752
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1059962
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1060219
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1060330
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1060453
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1060743
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1060984
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1061186
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``1061422
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1061551
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`1061651
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`1061710
orightPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``1061769
orightPower`2`x`(_$,PositiveInteger)->_$`cMagma``1061968
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1062167
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1062362
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1062460
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1062701
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1062942
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1063109
orightRecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``1063331
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1063522
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1063696
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1064002
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1064198
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1064395
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1064685
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1064975
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1065191
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1065286
orightTrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1065484
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1065670
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)``1065797
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1065922
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`1066048
oright_ext_ext_GCD`2`n`(S,S)->Record(generator:S,coef1:S,coef2:S,coefu:S,coefv:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oright_ext_ext_GCD`2`x`(_$,_$)->Record(generator:_$,coef1:_$,coef2:_$,coefu:_$,coefv:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1066107
oright`1`n`(_$)->_$`dFreeMagma(VarSet)``1066346
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``1066478
oright`1`n`(_$)->_$`dOutputForm``1066611
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1066680
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``1066755
oright`2`n`(_$,Integer)->_$`dOutputForm``1066803
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)``1066893
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1067229
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1067310
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1067614
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1067843
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1068121
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1068779
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1069054
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1069399
ork4qc`14`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1069911
ork4qc`7`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1070438
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1070923
oroman`1`x`(Integer)->_$`dRomanNumeral``1071033
oroman`1`x`(Symbol)->_$`dRomanNumeral``1071094
oromberg`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1071162
orombergo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1071868
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``1072568
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1072605
orootFactor`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(R,UniqueFactorizationDomain),has(F,FunctionSpace(R)))`1072702
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1072939
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1073012
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1073219
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1073469
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1073593
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1073661
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1073785
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``1073901
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1074013
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1074129
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1074220
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``1074336
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1074456
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1074629
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1074785
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1075014
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1075229
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1075355
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1075582
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1075809
orootSum`3`x`(_$,SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``0
oroot`1`n`(_$)->_$`dOutputForm``1075847
oroot`2`n`(_$,_$)->_$`dOutputForm``1075922
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``1076006
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1076137
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1076423
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1076653
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1076944
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1077192
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``1077440
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1077636
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1077879
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1078241
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1078339
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1078437
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1078535
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1078693
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1078809
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1079001
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1079218
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1079350
orouteArrowWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1079414
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteArrows`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1079521
orouteNodeWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1079728
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteNodes`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1079834
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1080039
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1080207
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1080314
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1080504
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1080637
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1080718
orowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1080799
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1081101
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1081182
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1081263
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1081344
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1081637
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1081860
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1081968
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1082116
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1082184
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`n`(_$,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1082255
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1082340
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1082466
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1082585
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1082678
orquo`2`n`(_$,S)->Union(_$,"failed")`dFreeMonoid(S)``1082771
orquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``1082856
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1083051
orquo`2`x`(_$,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1083136
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1083221
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1083306
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1083404
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1083501
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1083597
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1083790
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1086419
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1086564
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1086960
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1087024
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1087112
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1087177
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1088323
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1088807
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1088964
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1088997
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1089009
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1089144
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1089295
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1089450
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1089649
osafety`1`x`(NonNegativeInteger)->_$`dGuessOption``1089716
osameFace?`2`n`(_$,_$)->Boolean`dCubicalFacet``1089870
osameFace?`2`n`(_$,_$)->Boolean`dOrientedFacet``1089957
osamplePoint`1`n`(_$)->List(TheField)`dCell(TheField)``1090043
osamplePoint`1`n`(_$)->TheField`dSimpleCell(TheField,ThePols)``1090109
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMagmaWithUnit&(S)``0
osample`0`x`()->_$`cAbelianMonoid``1090175
osample`0`x`()->_$`cAggregate``1090222
osample`0`x`()->_$`cMagmaWithUnit``1090269
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1090316
osample`0`x`()->_$`dSymbol``1090369
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1090415
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1090527
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1090672
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1090906
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1091054
osave`0`n`()->_$`dFortranCode``1091223
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1091290
osayLength`1`x`(String)->Integer`pDisplayPackage``1091381
osay`1`x`(List(String))->Void`pDisplayPackage``1091463
osay`1`x`(String)->Void`pDisplayPackage``1091528
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1091584
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1091714
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1091849
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1091921
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1092025
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1092133
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1092234
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1092353
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1092673
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1093369
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1093601
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1094018
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1094349
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1094674
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1094906
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1095230
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1095554
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1095749
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1095858
oscreenCoordX`1`n`(_$)->DoubleFloat`cSPointCategory``1096118
oscreenCoordY`1`n`(_$)->DoubleFloat`cSPointCategory``1096206
oscreenCoordZ`1`n`(_$)->DoubleFloat`cSPointCategory``1096294
oscreenCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``1096384
oscreenResolution3D`0`n`()->Integer`dPlot3D``1096453
oscreenResolution`0`n`()->Integer`dPlot``1096534
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1096597
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1096670
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1096744
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1097100
oscripted?`1`x`(_$)->Boolean`dSymbol``1097301
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1097383
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1097445
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1097667
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1097726
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1097934
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1098032
osec`1`n`(F)->F`pElementaryFunction(R,F)``1098119
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)``1098180
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1098247
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1098314
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1098382
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1098452
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1098505
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1098607
osech`1`n`(F)->F`pElementaryFunction(R,F)``1098696
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)``1098769
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1098852
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1098935
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1099015
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1099097
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(_$)->B`dProduct(A,B)``1099162
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1099226
oseed`0`x`()->Integer`pRandomNumberSource``1099331
osegment`1`x`(S)->_$`dUniversalSegment(S)``1099384
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``1099466
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1099670
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1099755
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1099902
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1100018
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1100267
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1100514
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`(_$,NonNegativeInteger)->S`dTuple(S)``1100719
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1100818
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1100991
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1101170
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1101237
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1101345
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1101556
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1101707
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1101916
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1102114
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1102229
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1102384
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1102545
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1102761
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1103017
osendGraphImage`1`n`(_$)->Void`dGraphImage``1103120
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1103403
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1103528
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1103680
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1103846
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1104030
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1104070
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1104236
osequence`1`n`(Stream(R))->_$`cSequenceCategory(R)``1104373
osequence`2`n`((R)->R,R)->_$`cSequenceCategory(R)``1104441
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1104595
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1104811
oseriesSolve`2`n`((UTSSMPF)->UTSSMPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSMPF)``0
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1105183
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1105432
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1105543
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1105979
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1106100
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1106219
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1106368
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1106803
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1107022
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1107261
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1107468
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1107576
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1108006
oseries`1`n`(Stream(SMP))->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1108205
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1108278
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1108459
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1108559
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1108758
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1108957
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1109018
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1109105
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1109211
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1109454
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1109767
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1109964
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1110129
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1110215
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1110461
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1110652
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1110896
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1111015
osetArr`2`n`(_$,List(List(Boolean)))->Void`cPoset(S)``1111128
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1111174
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1111297
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1111472
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1111560
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1111708
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1111882
osetEpilogue!`2`n`(_$,List(String))->List(String)`dScriptFormulaFormat``1111950
osetEpilogue!`2`n`(_$,List(String))->List(String)`dTexFormat``1112060
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1112162
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1112458
osetFormula!`2`n`(_$,List(String))->List(String)`dScriptFormulaFormat``1112649
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1112757
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1112939
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1113090
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1113272
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1113356
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1113445
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1113531
osetMinPoints`1`n`(Integer)->Integer`dPlot``1113620
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1113706
osetMult!`2`n`(_$,Integer)->_$`dOrientedFacet``1113781
osetMult!`2`n`(_$,Integer)->_$`dProductFacet``1113812
osetMult`2`n`(_$,Integer)->_$`dCubicalFacet``1113843
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1113874
osetNotation`1`n`(Symbol)->Void`cJetBundleFunctionCategory(JB)``0
osetNotation`1`n`(Symbol)->Void`xJetBundleFunctionCategory&(S,JB)``0
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1113969
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1114144
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1114509
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1114963
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1115570
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1115609
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1115688
osetPrologue!`2`n`(_$,List(String))->List(String)`dScriptFormulaFormat``1115808
osetPrologue!`2`n`(_$,List(String))->List(String)`dTexFormat``1115918
osetProperties`2`x`(_$,AssociationList(Symbol,None))->_$`dBasicOperator``1116020
osetProperty`3`x`(_$,Symbol,None)->_$`dBasicOperator``1116186
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1116381
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1116527
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`n`(_$,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1116837
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1116959
osetRow!`4`n`(_$,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1117041
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1117193
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1117287
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1117363
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1117643
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1117760
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1117950
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1118092
osetTex!`2`n`(_$,List(String))->List(String)`dTexFormat``1118448
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1118540
osetTransform!`2`n`(_$,STransform(PT))->Void`dScene(PT)``1118679
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1118777
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1118948
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1119088
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1119229
osetVert`2`n`(_$,List(S))->Void`cPoset(S)``1119419
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1119469
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1119548
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1119670
osetelt!`2`n`(_$,S)->S`dReference(S)``1119805
osetelt!`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1119889
osetelt!`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1120009
osetelt!`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1120126
osetelt!`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1120242
osetelt!`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1120359
osetelt!`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1120478
osetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`1120596
osetelt!`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1120786
osetelt!`3`x`(_$,Symbol,Any)->Any`dLibrary``1120905
osetelt!`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,shallowlyMutable)`1121032
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(_$,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1121326
osetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1121481
osetelt!`4`x`(_$,Integer,List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1121663
osetelt!`4`x`(_$,Integer,List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1121789
osetelt!`4`x`(_$,List(Integer),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1122004
osetelt!`4`x`(_$,List(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1122130
osetelt!`4`x`(_$,List(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1122477
osetelt!`4`x`(_$,List(Segment(Integer)),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1122619
osetelt!`4`x`(_$,List(Segment(Integer)),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1122834
osetelt!`4`x`(_$,List(Segment(Integer)),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1123041
osetelt!`4`x`(_$,Segment(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1123247
osetelt!`4`x`(_$,Segment(Integer),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1123389
osetelt!`4`x`(_$,Segment(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1123595
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1123745
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1123918
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1124043
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1124166
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1124281
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1124360
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1124495
osetref`2`n`(_$,S)->S`dReference(S)``1124638
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1124699
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1124814
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1124941
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1125022
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1125252
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1125329
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1125409
oshade`1`n`(Point(R))->R`pPointPackage(R)``1125539
oshade`1`x`(_$)->Integer`dPalette``1125868
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1125950
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1125993
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1126103
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1126383
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegati--veInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegative--Integer)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oshiftHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber--,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(N--onNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),ki--nd:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1126508
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->St--ream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),N--onNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInte--ger)->List(Integer))`pGuessInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiv--ariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInt--eger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F--raction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(I--nteger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream--(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`1126617
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),S--ymbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(--Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNe--gativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(Sp--arseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonN--egativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePo--lynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Ex--pression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftLeft`1`n`(List(T))->List(T)`pListPackage(T)``1126804
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1126910
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`1126978
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1127070
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1127187
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1127295
oshift`2`x`(_$,Integer)->_$`dFloat``1127396
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1127473
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1127534
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1127597
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1127696
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1127790
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1127924
oshowElements`2`x`(NonNegativeInteger,_$)->OutputForm`dStream(S)`has(S,SetCategory)`1128179
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1128289
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1128361
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1128606
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``1128742
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1128811
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1129084
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1129337
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1129457
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1129669
osierpinskiDivide`2`n`(_$,NonNegativeInteger)->_$`dSceneIFS(PT)``1129814
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1129996
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1130048
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1130100
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1130157
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1130193
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1130429
osign`1`x`(_$)->Integer`cOrderedRing``1130509
osign`1`x`(_$)->Integer`dPermutation(S)``1130624
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1130720
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1130810
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1130940
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1131075
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1131237
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1131463
osimpMod`3`n`(List(S),SparseEchelonMatrix(JB,S),List(S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`3`n`(List(_$),SparseEchelonMatrix(JB,_$),List(_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1131564
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``1131714
osimpleCells`1`n`(_$)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1131807
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(_$,"failed")`dFiniteSimplicialComplex(VS)``1131939
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(_$,"failed")`dFiniteSimplicialComplex(VS)``1132120
osimplicialComplex`1`n`(List(VS))->_$`dFiniteSimplicialComplex(VS)``1132312
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->_$`dFiniteSimplicialComplex(VS)``1132343
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->_$`dFiniteSimplicialComplex(VS)``1132395
osimplicialJoin`3`n`(_$,_$,Boolean)->_$`dFiniteSimplicialComplex(VS)``1132447
osimplifyCoeffs`2`n`(Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean),List(Kernel(F)))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)`AND(has(R0,CharacteristicZero),has(F,AlgebraicallyClosedField))`1132839
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1132910
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1133239
osimplify`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``1133450
osimplify`1`n`(_$)->_$`dGroupPresentation``1133639
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1134134
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1134438
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1134502
osimplify`2`n`(List(S),SparseEchelonMatrix(JB,S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimplify`2`n`(List(_$),SparseEchelonMatrix(JB,_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1134982
osimplify`2`n`(_$,Boolean)->_$`dGroupPresentation``1135443
osimpson`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1135480
osimpsono`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1136176
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1136876
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1136974
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1137059
osin`1`n`(E)->_$`dFourierComponent(E)``1137146
osin`1`n`(F)->F`pElementaryFunction(R,F)``1137212
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)``1137271
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1137336
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1137401
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1137467
osin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1137535
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1137602
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1137653
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1137755
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1138244
osingleFace`1`n`(List(PT))->_$`dSceneIFS(PT)``1138839
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1138936
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1139122
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1139378
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1139445
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1139515
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1139596
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1139698
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1139787
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1139858
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1139939
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1140020
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1140098
osinh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1140178
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1140247
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1140310
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`2`n`(Integer,Integer)->_$`cSPointCategory``1140425
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1140517
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->_$`cSPointCategory``1140626
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1140719
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``1140829
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1140906
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1141061
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1141241
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1141421
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1141601
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1141704
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xFramedModule&(S,R)``0
osize`0`n`()->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osize`0`x`()->Integer`pRandomNumberSource``1141800
osize`0`x`()->NonNegativeInteger`cFinite``1141864
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1141928
osize`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``1141995
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1142062
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1142134
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1142176
oski`1`n`(UT)->_$`dSKICombinators(UT)``1142367
oski`2`n`(_$,_$)->_$`dSKICombinators(UT)``1142405
oslash`2`n`(_$,_$)->_$`dOutputForm``1142458
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1142556
osmaller?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xFinite&(S)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osmaller?`2`n`(_$,_$)->Boolean`cComparable``1142750
osmesh`2`n`(List(List(PT)),Boolean)->_$`dSceneIFS(PT)``1142836
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1142949
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1143011
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1143088
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1143234
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1143255
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1143276
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1143325
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1143363
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1143405
osolveFor`2`n`(_$,JB)->Union(_$,"failed")`cJetBundleFunctionCategory(JB)``1143676
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1143768
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1143918
osolveInField`3`n`(Matrix(LO),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1144066
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)``1144182
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1144605
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1144820
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1145035
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1145284
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1145710
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1145975
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1146300
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``1146565
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1146830
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1147026
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1147222
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1147418
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1147614
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1147817
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1148020
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1148276
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1148486
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``1148666
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1148703
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1148913
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1149043
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1149242
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1149379
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1149532
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1149672
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1149850
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1149967
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1150083
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1150268
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1150473
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1150587
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1150768
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1150983
osolve`2`x`(List(Equation(Expression(R))),List(Expression(R)))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1151122
osolve`2`x`(List(Equation(Expression(R))),List(Kernel(Expression(R))))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1151348
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1151489
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1151630
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1151835
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1151989
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1152204
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1152345
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1152554
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1152702
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1152850
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1153059
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1153268
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1153387
osolve`3`n`(Matrix(F),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1153535
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)``1153637
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1154073
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1154882
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1155644
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1156222
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1156645
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1157068
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1157394
osolve`4`n`(Matrix(LO),F,List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Union(Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F))),"failed")`pOrePolynomialMatrixOperations(F,LO)``1157653
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1158248
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1158543
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1158838
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1159086
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1159271
osort!`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable),has(S,OrderedSet))`1159333
osort!`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`x`((S,S)->Boolean,_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`1159411
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osortLD`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1159495
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`n`(_$)->_$`dFiniteSimplicialComplex(VS)``1159595
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1159607
osort`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`1159891
osort`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`1160005
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1160107
osorted?`1`n`(A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(_$)->Boolean`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`1160304
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,_$)->Boolean`cLinearAggregate(S)`has(_$,finiteAggregate)`1160387
osortedPurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1160478
ospace`0`x`()->_$`dCharacter``1160637
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1160689
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1160889
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestArrow`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1161000
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1161081
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1161162
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1161645
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1162022
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1162089
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1162194
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1162359
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1162530
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1162705
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1162913
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1163181
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1163502
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1163629
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1163818
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1163972
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1164161
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1164311
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1164529
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1164659
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1164911
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1165182
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1165518
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1165712
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1165906
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1165997
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1166263
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1166530
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1167343
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1167490
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1167670
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1167760
ospnt`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1167856
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1167948
osqfrFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``1168057
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1168212
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1168291
osqrt`1`n`(_$)->_$`dInnerPrimeField(p)``1168360
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1168630
osqrt`1`x`(Integer)->_$`cRealClosedField``1168672
osqrt`1`x`(_$)->_$`cRadicalCategory``1168714
osqrt`1`x`(_$)->_$`cRealClosedField``1168854
osqrt`1`x`(_$)->_$`dPrimeField(p)``1168896
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1169070
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1169195
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1169242
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1169417
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1169592
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1169698
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1169791
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1170200
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)`1170371
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1170507
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1170620
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``1171143
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1171258
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1171377
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1171463
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1171569
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1171747
osquareFree`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1171937
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1172111
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1172454
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1172548
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1172733
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1172852
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1173023
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1173157
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1173291
ostack`1`x`(List(S))->_$`dStack(S)``1173424
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1173580
ostar`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``1174265
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1174378
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1174832
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1174957
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1175063
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1175169
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)``1175275
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostarts`1`n`(List(Boolean))->_$`dBitStreamFrame``1175384
ostarts`1`n`(String)->_$`dBitStreamFrame``1175412
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1175482
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1175518
ostatistics`0`n`()->Void`pUnittestCount``1175728
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1175869
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1175934
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1176076
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1176180
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1176286
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1176375
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1176648
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1176942
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1177033
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1177124
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1177215
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->_$`dFortranCode``1177309
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_reg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_sqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostransform`1`n`((Complex(DoubleFloat))->Complex(DoubleFloat))->_$`dSTransform(PT)``1177376
ostransform`1`n`((PT)->PT)->_$`dSTransform(PT)``1177559
ostransform`1`n`(List(DoubleFloat))->_$`dSTransform(PT)``1177666
ostransform`1`n`(List(List(DoubleFloat)))->_$`dSTransform(PT)``1177734
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->_$`dSTransform(PT)``1177810
ostream`1`n`(_$)->Stream(R)`cSequenceCategory(R)``1178094
ostream`1`x`(()->S)->_$`dStream(S)``1178144
ostream`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``1178295
ostream`2`x`((S)->S,S)->_$`dStream(S)``1178370
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1178608
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1178696
ostring`1`n`(OutputForm)->String`pOutputFormTools``1178785
ostring`1`x`(Integer)->_$`cStringCategory``1178898
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1178982
ostring`1`x`(_$)->String`dSymbol``1179119
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1179222
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1179365
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1179450
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1179696
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1179855
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1179978
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1180235
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)``1180492
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1180783
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1181062
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1181505
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1181948
ostruveH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1182010
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1182073
ostruveL`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1182227
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->_$`dSceneIFS(PT)``1182382
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1182497
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1182557
ostyle`1`x`(String)->_$`dDrawOption``1182702
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1182878
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1183083
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1183183
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1183283
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1183392
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1183501
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1183713
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1183851
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1184029
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1184129
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1184229
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1184372
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1184515
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1184665
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1184832
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1185020
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1185233
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1185346
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1185677
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1185825
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1185968
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1186318
osubSylvesterMatrix`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`3`n`(M,NonNegativeInteger,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1186414
osubSylvesterMatrix`3`n`(Matrix(R),NonNegativeInteger,NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1186494
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1186590
osub`2`n`(_$,_$)->_$`dOutputForm``1186686
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdiagramSvg`4`n`(Scene(SCartesian(2)),_$,Boolean,Boolean)->Void`cFiniteGraph(S)``1186765
osubdivide`1`n`(_$)->_$`dSceneIFS(PT)``1187044
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1187196
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1187281
osubresultants`2`n`(UP,UP)->IndexedVector(UP,0)`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
osubresultants`2`n`(UP,UP)->IndexedVector(UP,Zero)`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`1187477
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1187620
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1187726
osubsetLattice`1`n`(List(S))->_$`dSubsetLattice(S,top)``1187897
osubspace?`2`n`(_$,_$)->Boolean`dVectorSpaceBasis(R)``1187937
osubspace`0`n`()->_$`dSubSpace(n,R)``1188023
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1188062
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1188200
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1188384
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegati--veInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegative--Integer)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),ki--nd:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1188597
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->St--ream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),N--onNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInte--ger)->List(Integer))`pGuessInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiv--ariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInt--eger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F--raction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(I--nteger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
osubst_var`3`n`(_$,List(Symbol),List(Symbol))->_$`dFakePolynomial``0
osubst_vars`3`n`(PT,List(Symbol),List(Symbol))->MP`cModularEvaluationCategory(PT,MP)``1188713
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`(_$,Equation(_$))->_$`cExpressionSpace``1188843
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1188938
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1189098
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``1189231
osubst`3`n`(_$,_$,_$)->_$`dLambda(UT)``1189347
osubst`3`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``1189403
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1189570
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1189681
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1189849
osubtract`2`n`(_$,_$)->_$`dOrientedFacet``1189975
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1190052
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1190174
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1190335
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1190443
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1190614
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1190687
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1190822
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1190964
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1191111
osumBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``1191377
osumBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``1191562
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``1191715
osumBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``1191852
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1191935
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1192129
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1192388
osum`1`n`(_$)->_$`dOutputForm``1192622
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1192705
osum`2`n`(_$,_$)->_$`dOutputForm``1192887
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1193002
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1193109
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1193211
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1193288
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1193470
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1193547
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1193729
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1193808
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1193964
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1194070
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1194226
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1194332
osunion`2`n`(_$,_$)->_$`dSBoundary(PT)``1194488
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1194719
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1194931
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1195143
osup`1`x`(_$)->R`cIntervalCategory(R)``1195327
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1195382
osuper`2`n`(_$,_$)->_$`dOutputForm``1195491
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1195574
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1195684
osupport`1`x`(_$)->List(S)`cFreeModuleCategory(R,S)``1195822
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1195909
osvec`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1196044
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1196137
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`1196247
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1196380
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1196521
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1196656
oswap`1`x`(_$)->_$`dEquation(S)``1196726
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1196810
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1196932
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1197065
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1197264
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1197398
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1197486
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1197542
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1197631
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``1197747
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1197822
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``1197905
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1197999
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1198112
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1198249
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1198451
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1198653
osymmetricGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``1199035
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1199178
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1199451
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1199657
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1199845
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1200073
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1200281
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1200529
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1200639
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1200744
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1201320
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1201863
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1202081
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1202171
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1202260
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1202419
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1202452
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1202524
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1202730
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1203036
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1203332
otable`1`n`((Key)->SingleInteger)->_$`dXHashTable(Key,Entry)``1203405
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(_$))->TwoDimensionalArray(_$)`dJetVectorField(JB,D)``1203741
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1203830
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1203937
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1204012
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1204102
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``1204211
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1204339
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1204459
otails`1`x`(_$)->List(_$)`dList(S)``1204544
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1204668
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1204766
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1204870
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1204978
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1205065
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1205175
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1205257
otan`1`n`(F)->F`pElementaryFunction(R,F)``1205431
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1205493
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1205561
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1205629
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1205698
otan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1205769
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1205836
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1205890
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1205992
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1206101
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1206190
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1206264
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1206348
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1206432
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1206513
otanh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1206596
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1206665
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1206731
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1206887
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1206982
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1207101
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1207307
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1207513
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1207719
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1207925
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1208081
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1208262
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1208330
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1208471
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1208558
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1208671
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1208914
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1209099
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1209266
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1209352
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1209537
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1209713
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1210082
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1210181
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1210578
otensor`1`n`(List(B))->_$`dTensorPower(n,R,B,M)``0
otensor`1`n`(List(M))->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`1`x`(List(M))->_$`cTensorPowerCategory(n,R,M)``1210863
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`n`(_$,_$)->_$`dOutputForm``1210972
otensor`2`x`(M,N)->_$`cTensorProductCategory(R,M,N)``1211038
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterminal`1`n`(S)->_$`cFiniteGraph(S)``1211136
oterms`1`x`(_$)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1211227
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1211387
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1211569
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1211749
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1211978
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1212200
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1212317
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1212383
otestEquals`2`n`(String,String)->Void`pUnittest``1212673
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1212949
otestLibraryError`1`n`(String)->Void`pUnittest``1213079
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1213198
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1213402
otestNotEquals`2`n`(String,String)->Void`pUnittest``1213515
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1213614
otestRealEquals`2`n`(String,String)->Void`pUnittest``1213840
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1214056
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1214236
otestTrue`1`n`(String)->Void`pUnittest``1214311
otest`1`x`(_$)->Boolean`dBoolean``1214375
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1214471
otestcase`1`n`(String)->Void`pUnittestCount``1214629
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214773
otestcp`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214795
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214817
otestf2`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer))->Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expressi--on(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214839
otestfg`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214861
otestfn`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactori--zer2(var,cen)``1214883
otestfo`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(va--r,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolyn--omial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214905
otestfr`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(va--r,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolyn--omial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214927
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214949
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214971
otestlc`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(llc:List(Stream(Record(k:Integer,c:Expression(Integer)))),rlc:List(Stream(Record(k:Integer,c:Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1214993
otestll`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(laurl:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),laurr:List(UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,c--en)``1215025
otestln`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(main:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:Lin--earOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),nf:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)--)),error:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1215047
otestlp`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1215069
otestlw`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Stream(Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOr--dinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1215091
otestnp`1`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->List(Record(point:Record(x:Integer,y:Integer),slope:Fraction(Integer),npoly:UnivariatePolynomial(var,Expression(Integer))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1215113
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1215135
otestro`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Expression(Integer),PositiveInteger)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1215157
otestsb`2`n`(Union(UnivariatePolynomial(var,Expression(Integer)),UnivariateLaurentSeries(Expression(Integer),var,cen)),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1215179
otestsc`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var--,cen)``1215203
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1215225
otestsuite`1`n`(String)->Void`pUnittestCount``1215387
otex`1`n`(_$)->List(String)`dTexFormat``1215538
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1215608
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1215884
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1215992
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1216195
otitle`1`x`(String)->_$`dDrawOption``1216316
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1216458
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1216663
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1216820
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1216981
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1217031
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),Record(mins:PT,maxs:PT))->Void`dScene(PT)``1217242
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1217367
otoPermutationIfCan`1`n`(_$)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1218217
otoPermutationIfCan`2`n`(_$,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1218427
otoPermutationIfCan`3`n`(_$,List(List(Integer)),Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1218637
otoPermutation`1`n`(_$)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1218859
otoPoint`1`n`(_$)->_$`cSPointCategory``1218956
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1219130
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1219255
otoScale`1`x`(Boolean)->_$`dDrawOption``1220091
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1220321
otoStringConven`2`n`(_$,List(String))->String`dLambda(UT)``1220530
otoStringUnwrapped`1`n`(_$)->String`dILogic``1220821
otoStringUnwrapped`1`n`(_$)->String`dLatticeJoinOfMeets``1220900
otoStringUnwrapped`1`n`(_$)->String`dLatticeMeetOfJoins``1220979
otoString`1`n`(S)->String`xFloatingPointSystem&(S)``0
otoString`1`n`(_$)->String`cVarCat``1221058
otoString`1`n`(_$)->String`dILogic``1221111
otoString`1`n`(_$)->String`dLambda(UT)``1221181
otoString`1`n`(_$)->String`dLatticeJoinOfMeets``1221400
otoString`1`n`(_$)->String`dLatticeMeetOfJoins``1221470
otoString`1`n`(_$)->String`dSKICombinators(UT)``1221540
otoString`1`n`(_$)->String`dSceneNamedPoints(PT)``1221554
otoString`1`x`(_$)->String`cFloatingPointSystem``1221630
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(_$,NonNegativeInteger)->String`cFloatingPointSystem``1221703
otoTable`1`x`((_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1221816
otoTable`1`x`((_$,_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1221981
otoVector`1`n`(_$)->_$`cSPointCategory``1222270
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT))->XmlElement`dScene(PT)``1222437
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1222562
oto_UP`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1222987
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1223119
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1223209
otop`1`x`(_$)->S`cStackAggregate(S)``1223411
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1223581
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1223741
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1223859
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1224099
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1224410
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1224516
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1224556
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1224762
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1224806
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1224861
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1224937
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1225018
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1225151
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1225284
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1225421
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1225564
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegreeSorted`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1225696
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`n`(_$)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1225910
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1226014
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1226157
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1226261
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1226525
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1226708
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1226939
otower`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``1226975
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1227112
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1227217
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1227377
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1227546
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1227715
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1227831
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`(_$)->F`cFiniteAlgebraicExtensionField(F)``1227954
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1228098
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1228208
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1228345
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1228444
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1228740
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1228788
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1228916
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1229040
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1229078
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1229182
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1229269
otransition_matrices`1`n`(_$)->List(Matrix(Integer))`dChainComplex``1229366
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1229443
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1229555
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1229781
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``1230254
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1230327
otranspose`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1230397
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1230469
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1230728
otrapezoidal`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1231034
otrapezoidalo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1231748
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1232456
otree`1`x`(List(S))->_$`dTree(S)``1232803
otree`1`x`(S)->_$`dTree(S)``1232878
otree`2`x`(S,List(_$))->_$`dTree(S)``1232957
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1233049
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1233294
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1233385
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1233476
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dDeltaComplex(VS)``1234531
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1234576
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1234770
otriangulate`2`n`(Matrix(F),List(Vector(F)))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),lg:List(Vector(F)),eq:LO,lrh:List(F))))`pSystemODESolver(F,LO)``1235126
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)``1235216
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1235600
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1235841
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1236011
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1236326
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1236455
otrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1236584
otrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1236772
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1236963
otrueEqual`2`x`(_$,_$)->Boolean`dAlgebraicNumber``1237065
otrue`0`x`()->_$`cLogic``1237145
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1237187
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1237276
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1237365
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1237454
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1237587
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1237750
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1237870
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1237972
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1238118
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1238312
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1238502
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1238783
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1239054
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1239429
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1239802
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1239940
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1240084
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1240301
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1240516
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1240594
otubeRadius`1`x`(Float)->_$`dDrawOption``1240685
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1240831
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1241046
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1241139
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1241455
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1241557
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1241877
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1241968
otype`1`n`(_$)->Symbol`cJetBundleCategory``1242055
oucodeToString`1`x`(Integer)->_$`dString``1242165
ouentries`1`x`(_$)->List(SingleInteger)`dString``1242308
ounary?`1`x`(_$)->Boolean`dBasicOperator``1242638
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1242692
ounbind`1`n`(_$)->_$`dLambda(UT)``1242743
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1242834
oundirectedGraph`1`n`(FinitePoset(S))->_$`dUndirectedGraph(S)``1243076
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1243253
oundirectedGraph`1`n`(List(S))->_$`dUndirectedGraph(S)``1243357
oundirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dUndirectedGraph(S)``1243629
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dUndirectedGraph(S)``1243744
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1243814
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1244003
ouniform01`0`n`()->Float`pRandomFloatDistributions``1244065
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1244105
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1244144
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1244183
ounion`1`n`(List(_$))->_$`dSBoundary(PT)``1244227
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)``1244371
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1244457
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1244527
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1244713
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1244899
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(_$)->Boolean`cEntireRing``1245029
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(_$)->_$`cEntireRing``1245121
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xEntireRing&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cEntireRing``1245192
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1245506
ounitPart`1`n`(_$)->Fraction(Integer)`dIntegerLocalizedAtPrime(p)``1245707
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1245861
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1245903
ounitVector`1`n`(_$)->_$`cSPointCategory``1246048
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1246178
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1246272
ounit`1`x`(List(Float))->_$`dDrawOption``1246384
ounit`1`x`(_$)->R`dFactored(R)``1246538
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounit`2`n`(List(S),String)->_$`cFiniteGraph(S)``1246605
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1246858
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1246954
ounits`1`n`(_$)->List(Float)`dGraphImage``1247072
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1247257
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1247461
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1247762
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1248016
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1248283
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1248381
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1248540
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1248699
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1248879
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1249127
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1249290
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1249399
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1249572
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1249690
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1249819
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1250623
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1250890
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)``1250994
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1251098
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1251269
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1251364
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1251571
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1251717
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1251774
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1251813
ounkextint`3`n`((List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``1251909
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1252064
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1252223
ounparse`1`n`(_$)->String`dInputForm``1252517
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1252682
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1253033
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1253568
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1254179
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1254302
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->_$`cUnivariatePolynomialCategory(R)``1254432
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1254560
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1254793
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1254828
oupdate!`2`n`(_$,SingleInteger)->_$`dHashState``1254863
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1255010
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1255136
oupperCase!`1`x`(_$)->_$`cStringAggregate``1255320
oupperCase?`1`x`(_$)->Boolean`dCharacter``1255449
oupperCase`0`x`()->_$`dCharacterClass``1255560
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1255684
oupperCase`1`x`(_$)->_$`dCharacter``1255765
oupperSet`1`n`(_$)->_$`cPoset(S)``1255934
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1256076
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1256205
ouseNagFunctions`0`n`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1256402
ouseNagFunctions`1`n`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1256535
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1256742
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1256914
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1257134
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1257269
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1257344
ovalidate`1`n`(_$)->Boolean`dChainComplex``1257509
ovalidate`1`n`(_$)->Boolean`dCoChainComplex(VS)``1257625
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->SingleInteger`dHashState``1257752
ovalue`1`n`(_$)->Symbol`dILogic``1257832
ovalue`1`n`(_$)->Symbol`dLatticeJoinOfMeets``1258104
ovalue`1`n`(_$)->Symbol`dLatticeMeetOfJoins``1258376
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1258648
ovalue`1`x`(_$)->Integer`dOrdSetInts``1258711
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1258779
ovalue`1`x`(_$)->String`dQueryEquation``1258842
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1258932
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1259012
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1259089
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1259357
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1259616
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1259784
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1259997
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1260265
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1260524
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1260693
ovarList`1`n`(_$)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1260906
ovarList`1`n`(_$)->List(VarSet)`dFreeMagma(VarSet)``1260974
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1261049
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1261117
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1261192
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1261296
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1261371
ovar`1`n`(String)->_$`cVarCat``1261452
ovar`2`n`(String,ILogic)->_$`cVarCat``1261504
ovariable?`1`n`(_$)->Boolean`dSKICombinators(UT)``1261560
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1261610
ovariableName`1`x`(Symbol)->_$`dGuessOption``1261743
ovariableOf`1`n`(_$)->Symbol`dSimpleCell(TheField,ThePols)``1261907
ovariable`0`n`()->Symbol`dVariable(sym)``1261964
ovariable`1`n`(String)->_$`dLatticeJoinOfMeets``1262008
ovariable`1`n`(String)->_$`dLatticeMeetOfJoins``1262036
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1262064
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1262137
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1262254
ovariable`1`x`(_$)->Symbol`dQueryEquation``1262353
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``1262448
ovariablesOf`1`n`(_$)->List(Symbol)`dCell(TheField)``1262651
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1262718
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(NonNegativeInteger)->List(_$)`cJetBundleCategory``1262834
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``1262922
ovariables`1`n`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1263021
ovariables`1`n`(_$)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1263096
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1263206
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1263295
ovariables`1`x`(List(_$))->List(Symbol)`cFunctionSpace(R)``1263411
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1263526
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1263604
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(_$)`cJetBundleCategory``1263739
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1263866
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1264237
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1264373
ovconcat`1`n`(List(_$))->_$`dOutputForm``1264467
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1264544
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1264627
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1264810
ovector`1`n`(List(Complex(DoubleFloat)))->_$`dComplexDoubleFloatVector``1265002
ovector`1`x`(List(R))->_$`dVector(R)``1265066
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1265130
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1265339
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1265476
overtSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`x`(_$,List(NonNegativeInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1265703
overtSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1265898
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1266044
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1266115
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1266235
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1266392
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1266510
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1266665
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1266759
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1266894
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1267102
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1267335
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1267414
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1267522
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1267619
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1267757
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1267880
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1268012
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1268178
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1268259
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1268371
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1268637
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1269006
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1269231
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1269491
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1269847
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1270253
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1270763
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1271273
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1271420
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,Dpol)``1271571
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,Dpol)``1271613
ovoid`0`x`()->_$`dVoid``1271634
ovspace`1`n`(Integer)->_$`dOutputForm``1271679
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1271743
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1271927
oweberE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1271987
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1272048
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1272191
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1272356
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1272512
oweierstrassPInverse`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1272707
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1272903
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1273069
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1273116
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1273218
oweierstrassPPrime`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1273320
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1273419
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1273461
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1273540
oweierstrassP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1273619
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1273699
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1273848
oweierstrassSigma`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1273894
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1273975
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1274137
oweierstrassZeta`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1274182
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1274261
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oweight`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``1274539
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1274728
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1274860
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1274931
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1274998
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1275071
oweightedDistanceMatrix`1`n`(_$)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1275310
oweightedGraph`1`n`(FinitePoset(S))->_$`dWeightedGraph(S,W)``1275496
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->_$`dWeightedGraph(S,W)``1275651
oweightedGraph`1`n`(List(S))->_$`dWeightedGraph(S,W)``1275755
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dWeightedGraph(S,W)``1276027
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)),List(Record(name:String,weight:W,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dWeightedGraph(S,W)``1276142
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1276284
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1276354
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1276541
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1276581
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1276705
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1276940
owhileLoop`2`n`(Switch,_$)->_$`dFortranCode``1277075
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1277140
owhittakerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1277213
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1277287
owhittakerW`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1277360
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1277434
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1277498
owholePart`1`x`(_$)->R`dPartialFraction(R)``1277707
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1277792
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1277945
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1278104
owidth`1`x`(_$)->R`cIntervalCategory(R)``1278195
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1278250
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1278339
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1278510
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1278717
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1278934
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1279156
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1279323
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1279436
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1279615
owriteLine!`1`x`(_$)->String`dTextFile``1279651
owriteLine!`2`x`(_$,String)->String`dTextFile``1279830
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1279993
owriteObj`2`n`(_$,String)->Void`dScene(PT)``1280056
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1280182
owriteSvgQuantised`2`n`(_$,String)->Void`dScene(PT)``1280217
owriteSvg`2`n`(_$,String)->Void`dScene(PT)``1280340
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1280454
owriteVRML`2`n`(_$,String)->Void`dScene(PT)``1280740
owriteX3d`2`n`(_$,String)->Void`dScene(PT)``1280856
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1280972
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1281191
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1281430
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1281672
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1281977
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1282256
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1282564
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1282846
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1282992
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)``1283148
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1283271
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1283525
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1283632
oxform`2`n`(_$,PT)->PT`dSTransform(PT)``1283739
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1283822
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1283869
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1283923
oxftestEquals`2`n`(String,String)->Void`pUnittest``1283970
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1284017
oxftestLibraryError`1`n`(String)->Void`pUnittest``1284064
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1284117
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1284164
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1284214
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1284261
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1284312
oxftestTrue`1`n`(String)->Void`pUnittest``1284359
oxmlAttribute`2`n`(String,List(String))->_$`dXmlAttribute``1284404
oxmlAttribute`2`n`(String,String)->_$`dXmlAttribute``1284522
oxmlElement`3`n`(String,List(_$),List(XmlAttribute))->_$`dXmlElement``1284620
oxmlElement`3`n`(String,String,List(XmlAttribute))->_$`dXmlElement``1284730
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1284826
oxor`2`x`(_$,_$)->_$`cBitAggregate``1284883
oxor`2`x`(_$,_$)->_$`dBoolean``1284989
oxor`2`x`(_$,_$)->_$`dSingleInteger``1285088
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1285201
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1285456
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1285581
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1285688
oyellow`0`x`()->_$`dColor``1285795
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1285874
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1286003
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1286140
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1286411
ozag`2`n`(_$,_$)->_$`dOutputForm``1286518
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1286619
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(S)->Boolean`xVectorCategory&(S,R)``0
ozero?`1`x`(_$)->Boolean`cAbelianMonoid``1286670
ozero?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1286726
ozero?`1`x`(_$)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1286826
ozero?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1286925
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1286999
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1287095
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1287312
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1287483
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1287570
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1287655
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1287824
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1287986
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1288060
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1288160
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1288284
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1288515
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1288690
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1288922
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1289130
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1289348
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1289667
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1289863
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1290203
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1290565
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1290713
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1291230
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1291744
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1292068
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1292436
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1292549
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1292662
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1292717
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1292766
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1292830
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1292902
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1293257
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1293556
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1293895
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1294248
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozetaMatrix`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``1294605
ozeta`0`n`()->_$`dDirichletRing(Coef)``1294847
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1294913
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1294954
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1295115
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1295161
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1295212
o~=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o~=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1295509
o~=`2`x`(_$,_$)->Boolean`cBasicType``1295565
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(_$)->_$`dDirectedGraph(S)``1295630
o~`1`n`(_$)->_$`dILogic``1295939
o~`1`n`(_$)->_$`dMultifunctionGraph(S)``1296209
o~`1`x`(_$)->_$`cLogic``1296518
o~`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1296581
o~`1`x`(_$)->_$`dSingleInteger``1296634
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1296725
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1296821
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1296905
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1296979
pAlgebraicIntegrate2`3`n`(R0:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc),R:FunctionFieldCategory(F,SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))))->etc`(R0,F,R)`INTALG2`0
pAlgebraicIntegrate`5`n`(R0:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1297014
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1297103
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1297217
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1297332
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1297543
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1297753
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1297840
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1297968
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1298092
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1298179
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1298248
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1298385
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`1298483
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1298663
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1298777
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1299357
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1299436
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1299707
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1299814
pCharacteristicPolynomial2`1`n`(Field)->etc`(F)`CHARPOL2`1299878
pCharacteristicPolynomial3`1`n`(IntegralDomain)->etc`(R)`CHARPOL3`1299972
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1300353
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1300450
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1300555
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1300969
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1301058
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1301123
pCommonOperators`0`n`()->etc``COMMONOP`1301287
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1301493
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1301609
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1301706
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1301832
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1301909
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1301981
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1302765
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1303139
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1303273
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1303361
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1303821
pCubicalComplexFactory`0`n`()->etc``CUBECF`1304079
pCycleIndicators`0`x`()->etc``CYCLES`1304250
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1304287
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1304355
pCylindricalAlgebraicDecompositionPackage`1`n`(RealClosedField)->etc`(TheField)`CAD`0
pCylindricalAlgebraicDecompositionUtilities`2`n`(R:GcdDomain,P:UnivariatePolynomialCategory(R))->etc`(R,P)`CADU`0
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1304391
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1304532
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1304568
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1304706
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1304818
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1305551
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1305869
pDisplayPackage`0`x`()->etc``DISPLAY`1305989
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1306094
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1306387
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1306464
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1306527
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1306565
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1306692
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`0
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1306964
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1307065
pDrawComplex`0`x`()->etc``DRAWCX`1307168
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1307254
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1307672
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1307708
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1307744
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1308027
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1308157
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1308337
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1308509
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1308624
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1308917
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1308979
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1309142
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1309314
pElementaryRischDEX`2`n`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1309382
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1309495
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1309593
pErrorFunctions`0`x`()->etc``ERROR`1309669
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1311652
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1312527
pExport3D`0`n`()->etc``EXP3D`1312700
pExportXml`0`n`()->etc``XML`1312796
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`0
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1312854
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1312919
pExpressionSolve`4`n`(R:Join(Comparable,etc),F:FunctionSpace(R),UTSF:UnivariateTaylorSeriesCategory(F),UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(R,F,UTSF,UTSSMPF)`EXPRSOL`0
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1313112
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1313293
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1313587
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1313644
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1313768
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1313858
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1314039
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1314344
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1314457
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1314731
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1314788
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`1314950
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1315064
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`1315151
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1315247
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1315423
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1315666
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1315943
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1316110
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1316211
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1316278
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1316590
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1316679
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1316983
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`0
pFloatSpecialFunctions`0`x`()->etc``FSFUN`0
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1317116
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1317475
pFortranCodePackage1`0`n`()->etc``FCPAK1`1317795
pFortranCodeTools`0`n`()->etc``FCTOOL`0
pFortranOutputStackPackage`0`n`()->etc``FOP`1318419
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1318466
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1318575
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1318823
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`1318984
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1319136
pFreeModuleCoefficientFunctions2`5`x`(R1:Join(SemiRng,etc),R2:Join(SemiRng,etc),S:Comparable,M1:FreeModuleCategory(R1,S),M2:FreeModuleCategory(R2,S))->etc`(R1,R2,S,M1,M2)`FMCF2`1319403
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1319494
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`1319540
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1319600
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1320003
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1320090
pFunctionSpaceComplexIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1320177
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1320306
pFunctionSpaceIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1320468
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1320587
pFunctionSpaceRationalRoots`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRROOT`0
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1320695
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1320905
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1320952
pFunctionSpaceToUnivariatePowerSeries2`9`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),(Expon)->FE,Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)`FS2UPS2`1321043
pFunctionSpaceToUnivariatePowerSeries`8`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)`FS2UPS`1321468
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1321893
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1321957
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1322065
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1322146
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1322352
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1322426
pGcdBasis`1`n`(GcdDomain)->etc`(R)`GCDBAS`1322496
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1322641
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1323221
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1323359
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1323442
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1323605
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1323754
pGnuDraw`0`x`()->etc``GDRAW`1324128
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`1324393
pGraphicsDefaults`0`x`()->etc``GRDEF`1324437
pGrayCode`0`n`()->etc``GRAY`1324531
pGroebnerFactorizationPackage`4`x`(Dom:Join(PolynomialFactorizationExplicit,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1324672
pGroebnerInternalPackage`3`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GBINTERN`1325727
pGroebnerPackage`3`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GB`1326025
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1327080
pGroupPresentationFunctions1`1`n`(SetCategory)->etc`(S)`GROUPPF1`0
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1327358
pGuessExpBin`5`n`(F:Field,S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESSEB`1327430
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1327529
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1327612
pGuessInteger`0`x`()->etc``GUESSINT`1327691
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1327761
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1327842
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1327932
pGuess`5`x`(F:Field,S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESS`1328004
pHallBasis`0`x`()->etc``HB`1328171
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1328712
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1328756
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1328919
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1329228
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1329302
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1329377
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1329439
pInfinity`0`x`()->etc``INFINITY`1329503
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1329584
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1329724
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1329893
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1330203
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`1330363
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1330627
pInnerModularHermitePade`0`n`()->etc``IMODHP`1330945
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1331327
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1331597
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1331744
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1331915
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1332515
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1332580
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1332621
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1332805
pIntegerBits`0`n`()->etc``INTBIT`1332848
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1332915
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1333025
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1333405
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1333458
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1333539
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1333746
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1333829
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`0
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1333954
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1334136
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1334302
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1334419
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1334548
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1334680
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1334953
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1335155
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1335303
pInternalRationalUnivariateRepresentationPackage`5`n`(R:Join(PolynomialFactorizationExplicit,etc),E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`IRURPK`1335376
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1335925
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1335985
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1336568
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1336712
pJetGroebner`5`n`(R:GcdDomain,JB:JetBundleCategory,LJV:List(JB),P:Join(JetBundleFunctionCategory(JB),etc),DirectProductCategory(#(LJV),NonNegativeInteger))->etc`(R,JB,LJV,P,E)`JGB`1337091
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1337495
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1337559
pLLLReduction`0`n`()->etc``LLLRED`1337718
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1337981
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1338181
pLaplaceTransform`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1338321
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`1338381
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:GcdDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1338923
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1339306
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1340169
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`0
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1340497
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1340532
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1340705
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1340877
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1341048
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1341182
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1341438
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`1341731
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1341806
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1341900
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1341976
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1342124
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1342274
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1342297
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`1342714
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`1342802
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1342836
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1343221
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1343612
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1343848
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1343909
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1344137
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1344201
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1344337
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1344398
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1344434
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1344470
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1344506
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1344542
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1344578
pMatrixCategoryFunctions2`8`x`(R1:Join(SemiRng,etc),Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1344614
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1344767
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1344920
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1345027
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1345247
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1345299
pModularAlgebraicGcd2`6`n`(PT:Type,MP:Type,MPT:Type,MD:Type,ModularEvaluationCategory(PT,MP),ModularAlgebraicGcdOperations(MP,MPT,MD))->etc`(PT,MP,MPT,MD,ME,MO)`MAGCD2`1345368
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1345744
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1345879
pModularFactorization`0`n`()->etc``MODFACT`1346109
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1346227
pModularHermitePade`0`n`()->etc``MODHP`1346320
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1346609
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1346750
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1346855
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1346987
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1347034
pMrvLimitPackage`0`n`()->etc``MRVLIM`1347301
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1347364
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1347445
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`1347731
pMultiplicativeDependence`0`n`()->etc``MULDEP`0
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(PolynomialFactorizationExplicit,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1347788
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1347951
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1348217
pNGroebnerPackage`3`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,Dpol:SolvableSkewPolynomialCategory(Dom,Expon))->etc`(Dom,Expon,Dpol)`NGROEB`1348610
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1348887
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1349163
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1349478
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1349803
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1349937
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1350090
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1350323
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1350483
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1350599
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`1350633
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1350773
pNumberFormats`0`n`()->etc``NUMFMT`1351011
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1351163
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1351228
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1351499
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1351637
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1351871
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1352052
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1352152
pNumericalQuadrature`1`x`(FloatingPointSystem)->etc`(F)`NUMQUAD`1356949
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1360374
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1360540
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1360605
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1360785
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1360943
pOpenMathPackage`0`x`()->etc``OMPKG`1361017
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1361123
pOperationsQuery`0`x`()->etc``OPQUERY`1361491
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1361573
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1361645
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`0
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1361774
pOutputFormTools`0`n`()->etc``OFTOOL`0
pOutputPackage`0`x`()->etc``OUT`1361850
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1361906
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1362458
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1362792
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1363116
pParallelIntegrationTools`3`n`(R:Field,V:OrderedSet,P:PolynomialCategory(R,IndexedExponents(V),V))->etc`(R,V,P)`PIT`0
pParametricIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPAR2`0
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1363184
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1364277
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`0
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1364311
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1364345
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`0
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`0
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1364379
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`0
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1364649
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1364813
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1364870
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1364897
pPatternMatchAssertions`0`x`()->etc``PMASS`1364928
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1365015
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1365091
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1365160
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1365354
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1365422
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`1365488
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1365560
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1365637
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1365707
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1365754
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1365822
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1365882
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1365953
pPermutationGroupExamples`0`x`()->etc``PGE`1366049
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1366454
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1366614
pPlotTools`0`n`()->etc``PLOTTOOL`1366767
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1366810
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1366844
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1366878
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1366979
pPointsOfFiniteOrder`5`n`(R0:Join(Comparable,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1367078
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1367179
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1367260
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1367980
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Join(SemiRng,etc),P:PolynomialCategory(R,E,Vars),S:etc)->etc`(E,Vars,R,P,S)`POLYLIFT`1368092
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`1368388
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1368511
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1368697
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1369234
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1369452
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1369595
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1369921
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1369974
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1370027
pPolynomialRationalRoots`2`n`(F:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PRROOT`0
pPolynomialRoots`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYROOT`1370121
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1370196
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1370485
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1370724
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1371155
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1371387
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1371603
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1371848
pPrimGCD`0`n`()->etc``PRIGCD3`1372025
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1372297
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1372449
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1372547
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1372777
pPrintPackage`0`x`()->etc``PRINT`1372842
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1372906
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1373022
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1373782
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`1373951
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1374044
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1374080
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`1375334
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1375507
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1375704
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`0
pRadicalEigenPackage`0`x`()->etc``REP`1375812
pRadicalSolvePackage`1`x`(Join(PolynomialFactorizationExplicit,etc))->etc`(R)`SOLVERAD`1376093
pRadixUtilities`0`x`()->etc``RADUTIL`1376265
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1376331
pRandomFloatDistributions`0`n`()->etc``RFDIST`1376380
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1376444
pRandomNumberSource`0`x`()->etc``RANDSRC`1376494
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1376685
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1377275
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1377401
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1377522
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1377604
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1377657
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1377730
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1377775
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1377873
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1377955
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1378018
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1378169
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1378252
pRationalUnivariateRepresentationPackage`2`n`(Join(PolynomialFactorizationExplicit,etc),List(Symbol))->etc`(R,ls)`RURPK`1378317
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1378755
pRealSolvePackage`0`n`()->etc``REALSOLV`1378856
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1378974
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1379280
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Join(SemiRng,etc),Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:DirectProductCategory(n,R2),Col2:DirectProductCategory(m,R2),M2:RectangularMatrixCategory(m,n,R2,Row2,Col2))->etc`(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)`RMCAT2`1379585
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1379761
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`1379944
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`1380046
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1380161
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`1380312
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`1381639
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1381797
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1381852
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1381907
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1382427
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1382998
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1383097
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`0
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1383249
pScanningUtilities`0`n`()->etc``SCANUTIL`0
pScriptFormulaFormat1`1`n`(SetCategory)->etc`(S)`FORMULA1`1383329
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1383495
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1383598
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1383676
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1383725
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1383795
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1383903
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1384010
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1384059
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`0
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1384419
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`0
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1384745
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`1384861
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`1385044
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`1386292
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1386552
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1386852
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1387016
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1387222
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1387284
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1387347
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1387412
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1387558
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1387764
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1387928
pSturmHabichtPackage`2`x`(R:OrderedIntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SHP`1388116
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1388237
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1388509
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1388577
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1388784
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1389066
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1389191
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1390062
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1390262
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1390693
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1390747
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1390813
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1390860
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1391005
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1391051
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1391171
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1391287
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1391416
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1391512
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1391587
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1392148
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1392996
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1393048
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1393140
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1393266
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1393401
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1393878
pTubePlotTools`0`n`()->etc``TUBETOOL`1394030
pTwoDimensionalArrayFunctions`8`n`(A:Type,RA:FiniteLinearAggregate(A),CA:FiniteLinearAggregate(A),MA:TwoDimensionalArrayCategory(A,RA,CA),B:Type,RB:FiniteLinearAggregate(B),CB:FiniteLinearAggregate(B),MB:TwoDimensionalArrayCategory(B,RB,CB))->etc`(A,RA,CA,MA,B,RB,CB,MB)`ARRAY22`0
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1394107
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1394221
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1394389
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1394731
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1394861
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1395187
pUnittestCount`0`n`()->etc``TESTCNT`1395328
pUnittest`0`n`()->etc``TESTUNIT`1395610
pUnivariateFormalPowerSeriesFunctions`1`n`(Ring)->etc`(Coef)`UFPS1`0
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1395837
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1396015
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`0
pUnivariatePolynomialDecompositionPackage`2`x`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1396159
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1396345
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1396492
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1396838
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1397130
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1397807
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1397958
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1398087
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1398264
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1398416
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1398494
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1398561
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1398795
pVectorHermitePadeSolver`0`n`()->etc``VHPSOLV`0
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1399101
pViewportPackage`0`n`()->etc``VIEW`1399190
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1399317
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1399905
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1400269
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1400447
pcompCode`0`n`()->etc``COMPCODE`1401772
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1402616
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1402649
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1402778
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1402900
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1403506
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1403660
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1404184
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1404278
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1404325
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1404381
xAssociationListAggregate&`3`n`(AssociationListAggregate(Key,Entry),SetCategory,Entry:Type)->etc`(S,Key,Entry)`ALAGG-`1404439
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1404609
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1404838
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1404957
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1405098
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1405317
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1405417
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1405859
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1405947
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1406268
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1406399
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1406528
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1407857
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1407970
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1410365
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1410523
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1410693
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1410740
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1411112
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1411263
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1411654
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1411812
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1411890
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1412286
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1412375
xField&`1`n`(Field)->etc`(S)`FIELD-`1412545
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1412768
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1413011
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1413242
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1413414
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-`1414967
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1415198
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1415259
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1415339
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1415378
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1415501
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1415653
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1415857
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1416894
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1417008
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1417105
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),Join(SemiRng,etc),S:SetCategory)->etc`(A,R,S)`FMCAT-`1417384
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1418419
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1418542
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1418762
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1419170
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`1419254
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1419334
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1419642
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1419998
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1420551
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1420664
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1421205
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1421266
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1421526
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1421852
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1421919
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1422210
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1422895
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1423331
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1423441
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1423756
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1423822
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1424039
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1424736
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1425003
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1425192
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1425280
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1425387
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1425851
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1426469
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1426654
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1426722
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1426833
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1426942
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1427139
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1427286
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1427644
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1427773
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1427996
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1428805
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1428897
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1429032
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1429353
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1429460
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1429579
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1429796
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-`1429931
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1430547
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1431024
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1431150
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1431289
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1431382
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1431454
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1431550
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1431846
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1431958
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1432188
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1432658
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-`1433139
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1435425
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1435604
xRng&`1`n`(Rng)->etc`(S)`RNG-`1435781
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1436007
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1436338
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1436665
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1436938
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1437195
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1437458
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1437563
xTaylorSeriesExpansion&`6`n`(TaylorSeriesExpansion(Coef,Expon,Var,PS,UTS),Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PS:PowerSeriesCategory(Coef,Expon,Var),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,Expon,Var,PS,UTS)`TSEREXP-`0
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1437685
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1437754
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-`1437816
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1438906
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1438956
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1439513
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1440060
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1440234
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1440336
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1440633
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1440782
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1441130
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1441431
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1441815
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1441915
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1442336
