/usr/lib/open-axiom/algebra/libdb.text

a%Rule`2`n`(associativity,%Forall(%Sequence(f:_$,x:_#1,y:_#1,z:_#1),=(f(f(x,y),z),f(x,f(y,z)))))`cSemiGroupOperatorCategory``0
a%Rule`2`n`(commutativity,%Forall(%Sequence(f:_$,x:_#1,y:_#1),=(f(x,y),f(y,x))))`cCommutativeOperatorCategory``0
a%Rule`2`n`(idempotence,%Forall(%Sequence(f:_$,x:_#1),=(f(x,x),x)))`cIdempotentOperatorCategory``0
a%Rule`2`n`(neutrality,%Forall(%Sequence(f:_$,x:_#1),SEQ(=(f(x,neutralValue(f)),x),exit(1,=(f(neutralValue(f),x),x)))))`cMonoidOperatorCategory``0
aJacobiIdentity`0`n``cAttributeRegistry``0
aJacobiIdentity`0`n``cLieAlgebra``0
aNullSquare`0`n``cAttributeRegistry``0
aNullSquare`0`n``cLieAlgebra``0
aadditiveValuation`0`n``cAttributeRegistry``3
aadditiveValuation`0`n``cComplexCategory`has(R,ATTRIBUTE(additiveValuation))`0
aadditiveValuation`0`n``cUnivariatePolynomialCategory`has(R,Field)`101
aapproximate`0`n``cFloatingPointSystem``169
aapproximate`0`n``cIntervalCategory``0
aarbitraryExponent`0`n``dFloat``0
aarbitraryPrecision`0`n``cAttributeRegistry``241
aarbitraryPrecision`0`n``dFloat``0
acanonicalUnitNormal`0`n``cAttributeRegistry``337
acanonicalUnitNormal`0`n``cField``579
acanonicalUnitNormal`0`n``cIntegerNumberSystem``0
acanonicalUnitNormal`0`n``cPolynomialCategory`has(R,ATTRIBUTE(canonicalUnitNormal))`599
acanonicalUnitNormal`0`n``dPolynomialRing`has(R,ATTRIBUTE(canonicalUnitNormal))`754
acanonicalUnitNormal`0`n``dSymmetricPolynomial`has(R,ATTRIBUTE(canonicalUnitNormal))`0
acanonicalUnitNormal`0`n``dXPolynomialRing`has(R,ATTRIBUTE(canonicalUnitNormal))`900
acanonical`0`n``cAttributeRegistry``1046
acanonical`0`n``dFourierSeries`AND(has(R,ATTRIBUTE(canonical)),has(E,ATTRIBUTE(canonical)))`0
acanonical`0`n``dFraction`AND(has(S,ATTRIBUTE(canonical)),has(S,ATTRIBUTE(canonicalUnitNormal)),has(S,GcdDomain))`1332
acanonical`0`n``dInteger``1403
acanonical`0`n``dRomanNumeral``1458
acanonical`0`n``dSingleInteger``1513
acanonicalsClosed`0`n``cAttributeRegistry``1607
acanonicalsClosed`0`n``cField``1717
acanonicalsClosed`0`n``dInteger``1757
acanonicalsClosed`0`n``dRomanNumeral``1803
acanonicalsClosed`0`n``dSingleInteger``1849
acentral`0`n``cAttributeRegistry``1924
acentral`0`n``dSquareMatrix`has(R,ATTRIBUTE(commutative("*")))`2193
acommutative`1`n`("*")`cAttributeRegistry``2364
acommutative`1`n`("*")`cCommutativeRing``2476
acommutative`1`n`("*")`dCardinalNumber``2512
acommutative`1`n`("*")`dNonNegativeInteger``2631
acommutative`1`n`("*")`dPositiveInteger``2716
acomplex`0`n``cComplexCategory``2793
aleftUnitary`0`n``cAttributeRegistry``2836
aleftUnitary`0`n``cBiModule``2913
amultiplicativeValuation`0`n``cAttributeRegistry``2935
amultiplicativeValuation`0`n``cComplexCategory`has(R,ATTRIBUTE(multiplicativeValuation))`0
amultiplicativeValuation`0`n``cIntegerNumberSystem``3040
anil`0`n``cUnionType``0
anoZeroDivisors`0`n``cAttributeRegistry``3114
anoZeroDivisors`0`n``cEntireRing``3228
anoZeroDivisors`0`n``cXFreeAlgebra`has(R,ATTRIBUTE(noZeroDivisors))`0
anoZeroDivisors`0`n``dXPolynomialRing`has(R,ATTRIBUTE(noZeroDivisors))`0
anoetherian`0`n``cAttributeRegistry``3292
anoetherian`0`n``dInteger``3375
anoetherian`0`n``dRomanNumeral``3417
anoetherian`0`n``dSingleInteger``3459
apartiallyOrderedSet`0`n``cAttributeRegistry``3537
apartiallyOrderedSet`0`n``cSetAggregate``0
arightUnitary`0`n``cAttributeRegistry``3702
arightUnitary`0`n``cBiModule``3780
aunitsKnown`0`n``cAttributeRegistry``3802
aunitsKnown`0`n``cDirectProductCategory`has(R,ATTRIBUTE(unitsKnown))`0
aunitsKnown`0`n``cFiniteRankNonAssociativeAlgebra`has(R,IntegralDomain)`4009
aunitsKnown`0`n``cGroup``4273
aunitsKnown`0`n``cRing``4345
aunitsKnown`0`n``dSquareMatrix`AND(has(R,ATTRIBUTE(commutative("*"))),has(R,ATTRIBUTE(unitsKnown)))`4441
aunitsKnown`0`n``dXPolynomialRing`has(R,ATTRIBUTE(unitsKnown))`0
cAbelianGroup`0`n`()->Category``ABELGRP`4545
cAbelianMonoidRing`2`n`(Ring,OrderedAbelianMonoid)->Category`(R,E)`AMR`4671
cAbelianMonoid`0`n`()->Category``ABELMON`5244
cAbelianSemiGroup`0`n`()->Category``ABELSG`5363
cAbstractSyntaxCategory`0`n`()->Category``ASTCAT`5514
cAggregate`0`n`()->Category``AGG`5571
cAlgebra`1`n`(CommutativeRing)->Category`(R)`ALGEBRA`5975
cAlgebraicallyClosedField`0`n`()->Category``ACF`6066
cAlgebraicallyClosedFunctionSpace`1`n`(IntegralDomain)->Category`(R)`ACFS`6110
cArcHyperbolicFunctionCategory`0`n`()->Category``AHYP`6163
cArcTrigonometricFunctionCategory`0`n`()->Category``ATRIG`6229
cAssociationListAggregate`2`n`(SetCategory,SetCategory)->Category`(Key,Entry)`ALAGG`6284
cAttributeRegistry`0`n`()->Category``ATTREG`6451
cBagAggregate`1`n`(Type)->Category`(S)`BGAGG`6514
cBasicType`0`n`()->Category``BASTYPE`6740
cBiModule`2`n`(Ring,Ring)->Category`(R,S)`BMODULE`6856
cBinaryOperatorCategory`1`n`(Type)->Category`(T)`BINOPC`6971
cBinaryRecursiveAggregate`1`n`(Type)->Category`(S)`BRAGG`7046
cBinaryTreeCategory`1`n`(SetCategory)->Category`(S)`BTCAT`7184
cBitAggregate`0`n`()->Category``BTAGG`7397
cBooleanLogic`0`n`()->Category``BOOLE`7494
cCachableSet`0`n`()->Category``CACHSET`7549
cCancellationAbelianMonoid`0`n`()->Category``CABMON`7637
cCharacteristicNonZero`0`n`()->Category``CHARNZ`7867
cCharacteristicZero`0`n`()->Category``CHARZ`7905
cCoercibleFrom`1`n`(Type)->Category`(S)`KRCFROM`7940
cCoercibleTo`1`n`(Type)->Category`(S)`KOERCE`8067
cCollection`1`n`(Type)->Category`(S)`CLAGG`8201
cCombinatorialFunctionCategory`0`n`()->Category``CFCAT`8635
cCombinatorialOpsCategory`0`n`()->Category``COMBOPC`8688
cCommutativeOperatorCategory`1`n`(BasicType)->Category`(T)`COMOPC`8820
cCommutativeRing`0`n`()->Category``COMRING`8900
cComplexCategory`1`n`(CommutativeRing)->Category`(R)`COMPCAT`9063
cConduit`0`n`()->Category``CONDUIT`9148
cConstructorCategory`0`n`()->Category``CTORCAT`9200
cConvertibleFrom`1`n`(Type)->Category`(S)`KVTFROM`9266
cConvertibleTo`1`n`(Type)->Category`(S)`KONVERT`9394
cDequeueAggregate`1`n`(Type)->Category`(S)`DQAGG`9541
cDictionaryOperations`1`n`(SetCategory)->Category`(S)`DIOPS`9719
cDictionary`1`n`(SetCategory)->Category`(S)`DIAGG`9847
cDifferentialDomain`1`n`(Type)->Category`(T)`DIFFDOM`10165
cDifferentialExtension`1`n`(Ring)->Category`(R)`DIFEXT`10798
cDifferentialModuleExtension`1`n`(Ring)->Category`(R)`DMEXT`10924
cDifferentialModule`1`n`(Ring)->Category`(R)`DIFFMOD`10992
cDifferentialPolynomialCategory`4`n`(Ring,S:OrderedSet,DifferentialVariableCategory(S),OrderedAbelianMonoidSup)->Category`(R,S,V,E)`DPOLCAT`11433
cDifferentialRing`0`n`()->Category``DIFRING`12753
cDifferentialSpaceExtension`1`n`(Type)->Category`(R)`DSEXT`12863
cDifferentialSpace`0`n`()->Category``DIFFSPC`12937
cDifferentialVariableCategory`1`n`(OrderedSet)->Category`(S)`DVARCAT`13070
cDioid`0`n`()->Category``DIOID`15442
cDirectProductCategory`2`n`(NonNegativeInteger,Type)->Category`(dim,R)`DIRPCAT`15544
cDivisionRing`0`n`()->Category``DIVRING`15699
cDoublyLinkedAggregate`1`n`(Type)->Category`(S)`DLAGG`15866
cElementaryFunctionCategory`0`n`()->Category``ELEMFUN`16071
cEltableAggregate`2`n`(BasicType,Type)->Category`(Dom,Im)`ELTAGG`16115
cEltable`2`n`(Type,Type)->Category`(S,T)`ELTAB`16474
cEntireRing`0`n`()->Category``ENTIRER`16781
cEuclideanDomain`0`n`()->Category``EUCDOM`16929
cEvalable`1`n`(SetCategory)->Category`(R)`EVALAB`17317
cExpressionSpace`0`n`()->Category``ES`17465
cExtensibleLinearAggregate`1`n`(Type)->Category`(S)`ELAGG`17540
cExtensionField`1`n`(Field)->Category`(F)`XF`17945
cFieldOfPrimeCharacteristic`0`n`()->Category``FPC`18031
cField`0`n`()->Category``FIELD`18271
cFileCategory`2`n`(SetCategory,SetCategory)->Category`(Name,S)`FILECAT`18491
cFileNameCategory`0`n`()->Category``FNCAT`18719
cFiniteAbelianMonoidRing`2`n`(Ring,OrderedAbelianMonoid)->Category`(R,E)`FAMR`18789
cFiniteAggregate`1`n`(Type)->Category`(S)`FINAGG`18958
cFiniteAlgebraicExtensionField`1`n`(Field)->Category`(F)`FAXF`19043
cFiniteDivisorCategory`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),FunctionFieldCategory(F,UP,UPUP))->Category`(F,UP,UPUP,R)`FDIVCAT`20550
cFiniteFieldCategory`0`n`()->Category``FFIELDC`20764
cFiniteLinearAggregate`1`n`(Type)->Category`(S)`FLAGG`20822
cFiniteRankAlgebra`2`n`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FINRALG`21064
cFiniteRankNonAssociativeAlgebra`1`n`(CommutativeRing)->Category`(R)`FINAALG`21184
cFiniteSetAggregate`1`n`(SetCategory)->Category`(S)`FSAGG`21333
cFinite`0`n`()->Category``FINITE`21534
cFloatingPointSystem`0`n`()->Category``FPS`21762
cFramedAlgebra`2`n`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FRAMALG`22783
cFramedNonAssociativeAlgebra`1`n`(CommutativeRing)->Category`(R)`FRNAALG`22894
cFreeAbelianMonoidCategory`2`n`(SetCategory,CancellationAbelianMonoid)->Category`(S,E)`FAMONC`23170
cFreeLieAlgebra`2`n`(OrderedSet,CommutativeRing)->Category`(VarSet,R)`FLALG`23405
cFreeModuleCat`2`n`(Ring,SetCategory)->Category`(R,Basis)`FMCAT`23601
cFreeMonoidCategory`1`n`(SetCategory)->Category`(S)`FMONCAT`24118
cFullyEvalableOver`1`n`(SetCategory)->Category`(R)`FEVALAB`24354
cFullyLinearlyExplicitRingOver`1`n`(Ring)->Category`(R)`FLINEXP`24474
cFullyPatternMatchable`1`n`(Type)->Category`(R)`FPATMAB`24703
cFullyRetractableTo`1`n`(Type)->Category`(S)`FRETRCT`24895
cFunctionFieldCategory`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UnivariatePolynomialCategory(Fraction(UP)))->Category`(F,UP,UPUP)`FFCAT`25325
cFunctionSpace`1`n`(SetCategory)->Category`(R)`FS`25406
cFunctorial`1`n`(Type)->Category`(S)`FUNCTOR`25483
cGcdDomain`0`n`()->Category``GCDDOM`25607
cGradedAlgebra`2`n`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRALG`25905
cGradedModule`2`n`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRMOD`26243
cGroup`0`n`()->Category``GROUP`26782
cHomogeneousAggregate`1`n`(Type)->Category`(S)`HOAGG`26892
cHomotopicTo`1`n`(Type)->Category`(S)`HOMOTOP`27148
cHyperbolicFunctionCategory`0`n`()->Category``HYPCAT`27359
cIdempotentOperatorCategory`1`n`(BasicType)->Category`(T)`IDEMOPC`27417
cIndexedAggregate`2`n`(BasicType,Type)->Category`(Index,Entry)`IXAGG`27496
cIndexedDirectProductCategory`2`n`(BasicType,OrderedType)->Category`(A,S)`IDPC`27753
cInnerEvalable`2`n`(SetCategory,Type)->Category`(A,B)`IEVALAB`27855
cInputByteConduit`0`n`()->Category``INBCON`28172
cInputOutputByteConduit`0`n`()->Category``IOBCON`28230
cIntegerNumberSystem`0`n`()->Category``INS`28326
cIntegralDomain`0`n`()->Category``INTDOM`28391
cIntervalCategory`1`n`(Join(FloatingPointSystem,etc))->Category`(R)`INTCAT`28719
cKeyedDictionary`2`n`(SetCategory,SetCategory)->Category`(Key,Entry)`KDAGG`29027
cLazyStreamAggregate`1`n`(Type)->Category`(S)`LZSTAGG`29135
cLeftAlgebra`1`n`(Ring)->Category`(R)`LALG`29448
cLeftLinearSet`1`n`(SemiGroup)->Category`(S)`LLINSET`29512
cLeftModule`1`n`(Rng)->Category`(R)`LMODULE`29681
cLieAlgebra`1`n`(CommutativeRing)->Category`(R)`LIECAT`29855
cLinearAggregate`1`n`(Type)->Category`(S)`LNAGG`30019
cLinearOrdinaryDifferentialOperatorCategory`1`n`(Ring)->Category`(A)`LODOCAT`30646
cLinearSet`1`n`(SemiGroup)->Category`(S)`LINSET`30911
cLinearlyExplicitRingOver`1`n`(Ring)->Category`(R)`LINEXP`31087
cLiouvillianFunctionCategory`0`n`()->Category``LFCAT`31162
cListAggregate`1`n`(Type)->Category`(S)`LSAGG`31223
cLogic`0`n`()->Category``LOGIC`31410
cMatrixCategory`3`n`(R:Ring,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`MATCAT`31505
cModule`1`n`(CommutativeRing)->Category`(R)`MODULE`32119
cMonadWithUnit`0`n`()->Category``MONADWU`32185
cMonad`0`n`()->Category``MONAD`32624
cMonogenicAlgebra`2`n`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`MONOGEN`32729
cMonogenicLinearOperator`1`n`(Ring)->Category`(R)`MLO`32838
cMonoidOperatorCategory`1`n`(BasicType)->Category`(T)`MONOPC`33360
cMonoid`0`n`()->Category``MONOID`33435
cMultiDictionary`1`n`(SetCategory)->Category`(S)`MDAGG`33560
cMultisetAggregate`1`n`(SetCategory)->Category`(S)`MSETAGG`33756
cMultivariateTaylorSeriesCategory`2`n`(Ring,OrderedSet)->Category`(Coef,Var)`MTSCAT`33848
cNetworkClientSocket`1`n`(SetCategory)->Category`(T)`NETCLT`0
cNonAssociativeAlgebra`1`n`(CommutativeRing)->Category`(R)`NAALG`33955
cNonAssociativeRing`0`n`()->Category``NASRING`34129
cNonAssociativeRng`0`n`()->Category``NARNG`34267
cNormalizedTriangularSetCategory`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`NTSCAT`34574
cOctonionCategory`1`n`(CommutativeRing)->Category`(R)`OC`35976
cOneDimensionalArrayAggregate`1`n`(Type)->Category`(S)`A1AGG`36197
cOperatorCategory`1`n`(SetCategory)->Category`(S)`OPERCAT`36993
cOrderedAbelianGroup`0`n`()->Category``OAGROUP`37203
cOrderedAbelianMonoidSup`0`n`()->Category``OAMONS`37302
cOrderedAbelianMonoid`0`n`()->Category``OAMON`37612
cOrderedAbelianSemiGroup`0`n`()->Category``OASGP`37712
cOrderedCancellationAbelianMonoid`0`n`()->Category``OCAMON`37856
cOrderedFinite`0`n`()->Category``ORDFIN`37969
cOrderedIntegralDomain`0`n`()->Category``OINTDOM`37996
cOrderedMonoid`0`n`()->Category``ORDMON`38129
cOrderedMultisetAggregate`1`n`(OrderedSet)->Category`(S)`OMSAGG`38234
cOrderedRing`0`n`()->Category``ORDRING`38271
cOrderedSemiGroup`0`n`()->Category``OSGROUP`38404
cOrderedSet`0`n`()->Category``ORDSET`38447
cOrderedType`0`n`()->Category``ORDTYPE`38704
cOutputByteConduit`0`n`()->Category``OUTBCON`38760
cPAdicIntegerCategory`1`n`(Integer)->Category`(p)`PADICCT`38819
cPartialDifferentialDomain`2`n`(Type,Type)->Category`(T,S)`PDDOM`38923
cPartialDifferentialModule`2`n`(Ring,BasicType)->Category`(R,S)`PDMOD`39218
cPartialDifferentialRing`1`n`(BasicType)->Category`(S)`PDRING`39334
cPartialDifferentialSpace`1`n`(BasicType)->Category`(S)`PDSPC`39439
cPartialTranscendentalFunctions`1`n`(TranscendentalFunctionCategory)->Category`(K)`PTRANFN`39649
cPatternMatchable`1`n`(SetCategory)->Category`(S)`PATMAB`39784
cPatternable`1`n`(Type)->Category`(R)`PATAB`39905
cPermutationCategory`1`n`(SetCategory)->Category`(S)`PERMCAT`40094
cPlottablePlaneCurveCategory`0`n`()->Category``PPCURVE`40238
cPlottableSpaceCurveCategory`0`n`()->Category``PSCURVE`40580
cPointCategory`1`n`(Ring)->Category`(R)`PTCAT`40911
cPolynomialCategory`3`n`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`POLYCAT`41092
cPolynomialFactorizationExplicit`0`n`()->Category``PFECAT`41261
cPolynomialSetCategory`4`n`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,RecursivePolynomialCategory(R,E,VarSet))->Category`(R,E,VarSet,P)`PSETCAT`41563
cPowerSeriesCategory`3`n`(Ring,OrderedAbelianMonoid,OrderedSet)->Category`(Coef,Expon,Var)`PSCAT`42175
cPrimitiveFunctionCategory`0`n`()->Category``PRIMCAT`42299
cPrincipalIdealDomain`0`n`()->Category``PID`42354
cPriorityQueueAggregate`1`n`(OrderedSet)->Category`(S)`PRQAGG`42705
cPropositionalLogic`0`n`()->Category``PROPLOG`42822
cQuaternionCategory`1`n`(CommutativeRing)->Category`(R)`QUATCAT`42891
cQueueAggregate`1`n`(Type)->Category`(S)`QUAGG`43028
cQuotientFieldCategory`1`n`(IntegralDomain)->Category`(S)`QFCAT`43110
cRGBColorModel`1`n`(AbelianMonoid)->Category`(T)`RGBCMDL`43201
cRGBColorSpace`1`n`(AbelianMonoid)->Category`(T)`RGBCSPC`43272
cRadicalCategory`0`n`()->Category``RADCAT`43343
cRealClosedField`0`n`()->Category``RCFIELD`43413
cRealConstant`0`n`()->Category``REAL`43507
cRealNumberSystem`0`n`()->Category``RNS`43594
cRealRootCharacterizationCategory`2`n`(TheField:Join(OrderedRing,etc),UnivariatePolynomialCategory(TheField))->Category`(TheField,ThePols)`RRCC`43888
cRectangularMatrixCategory`5`n`(m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,DirectProductCategory(n,R),DirectProductCategory(m,R))->Category`(m,n,R,Row,Col)`RMATCAT`43998
cRecursiveAggregate`1`n`(Type)->Category`(S)`RCAGG`44226
cRecursivePolynomialCategory`3`n`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,V)`RPOLCAT`44667
cRegularTriangularSetCategory`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`RSETCAT`45144
cRetractableTo`1`n`(Type)->Category`(S)`RETRACT`47968
cRightLinearSet`1`n`(SemiGroup)->Category`(S)`RLINSET`48142
cRightModule`1`n`(Rng)->Category`(R)`RMODULE`48312
cRing`0`n`()->Category``RING`48488
cRng`0`n`()->Category``RNG`48585
cSExpressionCategory`5`n`(SetCategory,SetCategory,SetCategory,SetCategory,SetCategory)->Category`(Str,Sym,Int,Flt,Expr)`SEXCAT`48809
cSegmentCategory`1`n`(Type)->Category`(S)`SEGCAT`48911
cSegmentExpansionCategory`2`n`(S:OrderedRing,StreamAggregate(S))->Category`(S,L)`SEGXCAT`49002
cSemiGroupOperatorCategory`1`n`(BasicType)->Category`(T)`SGPOPC`49092
cSemiGroup`0`n`()->Category``SGROUP`49170
cSemiRing`0`n`()->Category``SRING`49299
cSetAggregate`1`n`(SetCategory)->Category`(S)`SETAGG`49495
cSetCategory`0`n`()->Category``SETCAT`49820
cShallowlyMutableAggregate`1`n`(Type)->Category`(S)`SMAGG`50091
cSpadAstExports`0`n`()->Category``SPADXPT`50229
cSpadSyntaxCategory`0`n`()->Category``SASTCAT`50320
cSpecialFunctionCategory`0`n`()->Category``SPFCAT`50371
cSquareFreeNormalizedTriangularSetCategory`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`50419
cSquareFreeRegularTriangularSetCategory`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`50743
cSquareMatrixCategory`4`n`(ndim:NonNegativeInteger,R:Ring,DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`51715
cStackAggregate`1`n`(Type)->Category`(S)`SKAGG`51970
cStepThrough`0`n`()->Category``STEP`52051
cStreamAggregate`1`n`(Type)->Category`(S)`STAGG`52496
cStringAggregate`0`n`()->Category``SRAGG`52866
cTableAggregate`2`n`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`52969
cThreeSpaceCategory`1`n`(Ring)->Category`(R)`SPACEC`53089
cTranscendentalFunctionCategory`0`n`()->Category``TRANFUN`53281
cTriangularSetCategory`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`53341
cTrigonometricFunctionCategory`0`n`()->Category``TRIGCAT`54761
cTwoDimensionalArrayCategory`3`n`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`54809
cType`0`n`()->Category``TYPE`55362
cUnaryRecursiveAggregate`1`n`(Type)->Category`(S)`URAGG`55390
cUnionType`0`n`()->Category``UTYPE`55926
cUniqueFactorizationDomain`0`n`()->Category``UFD`56241
cUnivariateLaurentSeriesCategory`1`n`(Ring)->Category`(Coef)`ULSCAT`56413
cUnivariateLaurentSeriesConstructorCategory`2`n`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`56513
cUnivariatePolynomialCategory`1`n`(Ring)->Category`(R)`UPOLYC`56806
cUnivariatePowerSeriesCategory`2`n`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`56953
cUnivariatePuiseuxSeriesCategory`1`n`(Ring)->Category`(Coef)`UPXSCAT`57299
cUnivariatePuiseuxSeriesConstructorCategory`2`n`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`57399
cUnivariateSkewPolynomialCategory`1`n`(Ring)->Category`(R)`OREPCAT`57695
cUnivariateTaylorSeriesCategory`1`n`(Ring)->Category`(Coef)`UTSCAT`58077
cVectorCategory`1`n`(Type)->Category`(R)`VECTCAT`58175
cVectorSpace`1`n`(Field)->Category`(S)`VSPACE`58594
cXAlgebra`1`n`(Ring)->Category`(R)`XALG`58665
cXFreeAlgebra`2`n`(OrderedSet,Ring)->Category`(vl,R)`XFALG`58917
cXPolynomialsCat`2`n`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`59023
dAddAst`0`n`()->Join(SpadSyntaxCategory,etc)``ADDAST`59187
dAlgebraGivenByStructuralConstants`4`n`(R:Field,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`59250
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`59705
dAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``AN`59773
dAnonymousFunction`0`n`()->Join(SetCategory,etc)``ANON`59844
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`59893
dAny`0`n`()->Join(SetCategory,etc)``ANY`59940
dArity`0`n`()->Join(SetCategory,etc)``ARITY`60496
dArrayStack`1`n`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`60791
dAssociatedJordanAlgebra`2`n`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`60838
dAssociatedLieAlgebra`2`n`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`62063
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`63117
dAttributeAst`0`n`()->Join(SpadSyntaxCategory,etc)``ATTRAST`63424
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`63520
dBalancedBinaryTree`1`n`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63606
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`63955
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`64168
dBasicOperator`0`n`()->Join(OrderedSet,etc)``BOP`64374
dBinaryExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64508
dBinaryOperation`1`n`(Type)->Join(BinaryOperatorCategory(T),etc)`(T)`BINOP`64598
dBinarySearchTree`1`n`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64646
dBinaryTournament`1`n`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`64926
dBinaryTree`1`n`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65217
dBinding`0`n`()->Join(CoercibleTo(OutputForm),etc)``BINDING`65443
dBits`0`n`()->Join(BitAggregate,etc)``BITS`65627
dBoolean`0`n`()->Join(OrderedFinite,etc)``BOOLEAN`65694
dByteBuffer`0`n`()->Join(OneDimensionalArrayAggregate(Byte),etc)``BYTEBUF`65801
dByteOrder`0`n`()->Join(SetCategory,etc)``BYTEORD`66566
dByte`0`n`()->Join(OrderedFinite,etc)``BYTE`66640
dCapsuleAst`0`n`()->Join(SpadSyntaxCategory,etc)``CAPSLAST`66707
dCardinalNumber`0`n`()->Join(OrderedSet,etc)``CARD`66772
dCartesianTensor`3`n`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`68177
dCaseAst`0`n`()->Join(SpadSyntaxCategory,etc)``CASEAST`68423
dCategoryAst`0`n`()->Join(SpadSyntaxCategory,etc)``CATAST`68473
dCategoryConstructor`0`n`()->Join(ConstructorCategory,etc)``CATCTOR`68578
dCategory`0`n`()->Join(CoercibleTo(OutputForm),etc)``CATEGORY`0
dCharacterClass`0`n`()->Join(SetCategory,etc)``CCLASS`68648
dCharacter`0`n`()->Join(OrderedFinite,etc)``CHAR`68738
dCliffordAlgebra`3`n`(n:PositiveInteger,K:Field,QuadraticForm(n,K))->Join(Ring,etc)`(n,K,Q)`CLIF`68796
dCoerceAst`0`n`()->Join(SpadSyntaxCategory,etc)``CRCEAST`69487
dCollectAst`0`n`()->Join(SpadSyntaxCategory,etc)``CLLCTAST`69538
dColonAst`0`n`()->Join(SpadSyntaxCategory,etc)``COLONAST`69594
dColor`0`n`()->Join(AbelianSemiGroup,etc)``COLOR`69689
dCommaAst`0`n`()->Join(SpadSyntaxCategory,etc)``COMMAAST`69799
dCommutativeOperation`1`n`(BasicType)->Join(CommutativeOperatorCategory(T),etc)`(T)`COMOP`69895
dCommutator`0`n`()->Join(SetCategory,etc)``COMM`69948
dComplex`1`n`(CommutativeRing)->ComplexCategory(R)`(R)`COMPLEX`69983
dConstructAst`0`n`()->Join(SpadSyntaxCategory,etc)``LSTAST`70189
dConstructorCall`1`n`(ConstructorCategory)->Join(SetCategory,etc)`(C)`CTORCALL`0
dConstructorKind`0`n`()->Join(SetCategory,etc)``CTORKIND`70245
dConstructor`0`n`()->Join(ConstructorCategory,etc)``CTOR`70404
dContinuedFraction`1`n`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`70465
dContour`0`n`()->Join(CoercibleTo(OutputForm),etc)``CONTOUR`71056
dDataArray`2`n`(PositiveInteger,T:SetCategory)->Join(SetCategory,etc)`(N,T)`DATAARY`71234
dDataList`1`n`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`71304
dDatabase`1`n`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`71360
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`71467
dDecimalExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`71731
dDefinitionAst`0`n`()->Join(SpadSyntaxCategory,etc)``DEFAST`71822
dDenavitHartenbergMatrix`1`n`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`71879
dDequeue`1`n`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`72166
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`72212
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`72478
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72564
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`72663
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73272
dDomainConstructor`0`n`()->Join(ConstructorCategory,etc)``DOMCTOR`73635
dDomainTemplate`0`n`()->Join(SetCategory,etc)``DOMTMPLT`73704
dDomain`0`n`()->Join(SetCategory,etc)``DOMAIN`0
dDoubleFloat`0`n`()->Join(FloatingPointSystem,etc)``DFLOAT`73790
dDrawOption`0`n`()->Join(SetCategory,etc)``DROPT`75730
dDualBasis`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`DBASIS`75824
dElaboratedExpression`0`n`()->Join(CoercibleTo(OutputForm),etc)``ELABEXPR`76024
dElaboration`0`n`()->Join(CoercibleTo(OutputForm),etc)``ELABOR`0
dEnumeration`1`x`special`(a,b,...,c)`ENUM`76100
dEnvironment`0`n`()->Join(CoercibleTo(OutputForm),etc)``ENV`76255
dEqTable`2`n`(SetCategory,Entry:SetCategory)->TableAggregate(Key,Entry)`(Key,Entry)`EQTBL`76409
dEquation`1`n`(Type)->Join(Functorial(S),etc)`(S)`EQ`76574
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`76814
dExitAst`0`n`()->Join(SpadSyntaxCategory,etc)``EXITAST`77014
dExit`0`n`()->SetCategory``EXIT`77061
dExponentialExpansion`4`n`(R:Join(RetractableTo(Integer),etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`77348
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Field,var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`77641
dExpression`1`n`(SetCategory)->Join(FunctionSpace(R),etc)`(R)`EXPR`78422
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`78470
dFactored`1`n`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`79312
dFileName`0`n`()->FileNameCategory``FNAME`80150
dFile`1`n`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`80219
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`80353
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`80568
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`81168
dFiniteFieldCyclicGroup`2`n`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`81798
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`82454
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`82721
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`83013
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`83523
dFiniteFieldNormalBasis`2`n`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`84030
dFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`84526
dFlexibleArray`1`n`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`84718
dFloat`0`n`()->Join(FloatingPointSystem,etc)``FLOAT`0
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`85726
dFortranType`0`n`()->Join(SetCategory,etc)``FT`85866
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`85974
dFourierSeries`2`n`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`86183
dFraction`1`n`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`86379
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`86633
dFramedModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRMOD`86678
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`86728
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`86948
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`87182
dFreeModule1`2`n`(Ring,S:OrderedSet)->Join(FreeModuleCat(R,S),etc)`(R,S)`FM1`87407
dFreeModule`2`n`(Ring,S:OrderedType)->Join(BiModule(R,R),etc)`(R,S)`FM`87828
dFreeMonoid`1`n`(SetCategory)->FreeMonoidCategory(S)`(S)`FMONOID`88033
dFreeNilpotentLie`3`n`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`88272
dFullPartialFractionExpansion`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`88412
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`88774
dFunctionDescriptor`0`n`()->Join(SetCategory,etc)``FUNDESC`88819
dFunctorData`0`n`()->Join(SetCategory,etc)``FCTRDATA`88987
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`89059
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`89620
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`89653
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`89689
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`89807
dGeneralUnivariatePowerSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`90474
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`90771
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`90937
dHasAst`0`n`()->Join(SpadSyntaxCategory,etc)``HASAST`91048
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->TableAggregate(Key,Entry)`(Key,Entry,hashfn)`HASHTBL`91097
dHeadAst`0`n`()->Join(SpadSyntaxCategory,etc)``HEADAST`91256
dHeap`1`n`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`91313
dHexadecimalExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`91380
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`91475
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`91813
dHostname`0`n`()->Join(SetCategory,etc)``HOSTNAME`92222
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`92282
dIOMode`0`n`()->Join(SetCategory,etc)``IOMODE`92622
dIP4Address`0`n`()->Join(SetCategory,etc)``IP4ADDR`92731
dIdentifier`0`n`()->Join(SetCategory,etc)``IDENT`92813
dIfAst`0`n`()->Join(SpadSyntaxCategory,etc)``IFAST`92999
dImportAst`0`n`()->Join(SpadSyntaxCategory,etc)``IMPTAST`93061
dInAst`0`n`()->Join(SpadSyntaxCategory,etc)``INAST`93112
dIndexCard`0`n`()->Join(OrderedSet,etc)``ICARD`93167
dIndexedBits`1`n`(Integer)->BitAggregate`(mn)`IBITS`93261
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedType)->Join(AbelianGroup,etc)`(A,S)`IDPAG`93359
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedType)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`93566
dIndexedDirectProductObject`2`n`(BasicType,S:OrderedType)->Join(IndexedDirectProductCategory(A,S),etc)`(A,S)`IDPO`93775
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`93917
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedType)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`94115
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`94349
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`94571
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`95649
dIndexedProductTerm`2`n`(BasicType,S:OrderedType)->Join(BasicType,etc)`(A,S)`IDPT`95757
dInetClientStreamSocket`0`n`()->Join(NetworkClientSocket(IP4Address),etc)``INETCLTS`0
dInfiniteTuple`1`n`(Type)->Join(Functorial(S),etc)`(S)`ITUPLE`95869
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`95970
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`96019
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`96247
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`96303
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`96412
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`96615
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry))->TableAggregate(Key,Entry)`(Key,Entry,addDom)`INTABL`96742
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`96850
dInnerTwoDimensionalArray`3`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,Row,Col)`IARRAY2`97226
dInputBinaryFile`0`n`()->Join(InputByteConduit,etc)``INBFILE`97369
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`97526
dInputOutputBinaryFile`0`n`()->Join(InputOutputByteConduit,etc)``IOBFILE`97678
dInt16`0`n`()->Join(OrderedFinite,etc)``INT16`97849
dInt32`0`n`()->Join(OrderedFinite,etc)``INT32`97931
dInt64`0`n`()->Join(OrderedFinite,etc)``INT64`98013
dInt8`0`n`()->Join(OrderedFinite,etc)``INT8`98095
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`98176
dInteger`0`n`()->Join(IntegerNumberSystem,etc)``INT`98269
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`98347
dInternalRepresentationForm`0`n`()->Join(SetCategory,etc)``IRFORM`98853
dInternalTypeForm`0`n`()->Join(SetCategory,etc)``ITFORM`98966
dInterval`1`n`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`99033
dIsAst`0`n`()->Join(SpadSyntaxCategory,etc)``ISAST`99349
dJVMBytecode`0`n`()->Join(SetCategory,etc)``JVMBCODE`99398
dJVMClassFileAccess`0`n`()->Join(SetCategory,etc)``JVMCFACC`99448
dJVMConstantTag`0`n`()->Join(SetCategory,etc)``JVMCSTTG`99496
dJVMFieldAccess`0`n`()->Join(SetCategory,etc)``JVMFDACC`99537
dJVMMethodAccess`0`n`()->Join(SetCategory,etc)``JVMMDACC`99586
dJVMOpcode`0`n`()->Join(SetCategory,etc)``JVMOP`99636
dJoinAst`0`n`()->Join(SpadSyntaxCategory,etc)``JOINAST`99684
dKernel`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`KERNEL`99742
dKeyedAccessFile`1`n`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`99844
dKleeneTrivalentLogic`0`n`()->Join(PropositionalLogic,etc)``KTVLOGIC`99941
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`100009
dLetAst`0`n`()->Join(SpadSyntaxCategory,etc)``LETAST`100169
dLibrary`0`n`()->Join(TableAggregate(String,Any),etc)``LIB`100222
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`100287
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`100649
dLieSquareMatrix`2`n`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`100834
dLinearBasis`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`LINBASIS`101181
dLinearElement`2`n`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINELT`101376
dLinearForm`2`n`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINFORM`101515
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`101651
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`101897
dLinearOrdinaryDifferentialOperator`2`n`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`102178
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`102434
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`n`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`102605
dLiteral`1`n`(SetCategory)->Join(SpadSyntaxCategory,etc)`(T)`LITERAL`102822
dLocalAlgebra`3`n`(Algebra(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Algebra(R),etc)`(A,R,S)`LA`102874
dLocalize`3`n`(Module(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Module(R),etc)`(M,R,S)`LO`103014
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`103200
dMacroAst`0`n`()->Join(SpadSyntaxCategory,etc)``MACROAST`104059
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`104122
dMappingAst`0`n`()->Join(SpadSyntaxCategory,etc)``MAPPAST`104314
dMapping`1`x`special`(T,S)`MAPPING`104524
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`104763
dMatrix`1`n`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`104858
dMaybe`1`n`(CoercibleTo(OutputForm))->Join(UnionType,etc)`(T)`MAYBE`104959
dModMonic`2`n`(R:Ring,P:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,P)`MODMON`105076
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`105109
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`105331
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`105540
dModuleOperator`2`n`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`105573
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`105622
dMonoidOperation`1`n`(BasicType)->Join(MonoidOperatorCategory(T),etc)`(T)`MONOP`105745
dMonoidRing`2`n`(Ring,M:Monoid)->Join(Ring,etc)`(R,M)`MRING`105793
dMultiset`1`n`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`106745
dMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`106792
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`107114
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`107363
dNonNegativeInteger`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNI`107545
dNone`0`n`()->SetCategory``NONE`107641
dOctonion`1`n`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`107858
dOneDimensionalArray`1`n`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`108381
dOnePointCompletion`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`108440
dOperatorSignature`0`n`()->Join(OperatorCategory(Identifier),etc)``OPSIG`108544
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`108600
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`108649
dOrdSetInts`0`n`()->Join(OrderedSet,etc)``OSI`108880
dOrderedCompletion`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`109173
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`109288
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(FreeMonoidCategory(S),etc)`(S)`OFMONOID`109618
dOrderedStructure`2`n`(T:Type,(T,T)->Boolean)->Join(OrderedType,etc)`(T,f)`ORDSTRCT`110210
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`110334
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`110381
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`110687
dOrdinaryDifferentialRing`3`n`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`111375
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`111496
dOutputBinaryFile`0`n`()->Join(OutputByteConduit,etc)``OUTBFILE`111724
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`111882
dOverloadSet`0`n`()->Join(SetCategory,etc)``OVERSET`112144
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`112233
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`112418
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`112484
dPair`2`n`(Type,T:Type)->Join(Type,etc)`(S,T)`PAIR`112659
dPalette`0`n`()->Join(SetCategory,etc)``PALETTE`112824
dParameterAst`0`n`()->Join(SpadSyntaxCategory,etc)``PARAMAST`112892
dParametricPlaneCurve`1`n`(Type)->etc`(ComponentFunction)`PARPCURV`113083
dParametricSpaceCurve`1`n`(Type)->etc`(ComponentFunction)`PARSCURV`113176
dParametricSurface`1`n`(Type)->etc`(ComponentFunction)`PARSURF`113267
dPartialFraction`1`n`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`113351
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`114184
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`114416
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`114652
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`114873
dPendantTree`1`n`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`114920
dPermutationGroup`1`n`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`115055
dPermutation`1`n`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`115524
dPi`0`n`()->Join(Field,etc)``HACKPI`116017
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`0
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`116328
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`116664
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`117029
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`117357
dPolynomialIdeals`4`n`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`117413
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`117921
dPolynomial`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`118285
dPortNumber`0`n`()->Join(SetCategory,etc)``PORTNUM`118574
dPositiveInteger`0`n`()->Join(OrderedAbelianSemiGroup,etc)``PI`118647
dPretendAst`0`n`()->Join(SpadSyntaxCategory,etc)``PRTDAST`118736
dPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`118788
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`118982
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`119120
dProperty`0`n`()->Join(CoercibleTo(OutputForm),etc)``PROPERTY`119167
dPropositionalFormula`1`n`(SetCategory)->Join(PropositionalLogic,etc)`(T)`PROPFRML`119328
dQuadraticForm`2`n`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`119449
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`119512
dQuasiquoteAst`0`n`()->Join(SpadSyntaxCategory,etc)``QQUTAST`121231
dQuaternion`1`n`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`121313
dQueryEquation`0`n`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`121616
dQueue`1`n`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`121669
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`121713
dRadixExpansion`1`n`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`121772
dRangeBinding`2`n`(SegmentCategory(T),Type)->Join(Type,etc)`(S,T)`RNGBIND`121917
dRealClosure`1`n`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`122049
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`122116
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`122352
dReduceAst`0`n`()->Join(SpadSyntaxCategory,etc)``RDUCEAST`122487
dReference`1`n`(Type)->Join(SetCategory,etc)`(S)`REF`122539
dRegularChain`2`n`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`122630
dRegularTriangularSet`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(RegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`REGSET`122845
dRepeatAst`0`n`()->Join(SpadSyntaxCategory,etc)``RPTAST`123276
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`123335
dRestrictAst`0`n`()->Join(SpadSyntaxCategory,etc)``RSTRCAST`123537
dReturnAst`0`n`()->Join(SpadSyntaxCategory,etc)``RETAST`123590
dRewriteRule`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`123641
dRightOpenIntervalRootCharacterization`2`n`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`123816
dRomanNumeral`0`n`()->Join(IntegerNumberSystem,etc)``ROMAN`123913
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`124019
dRuleset`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`124060
dRuntimeValue`0`n`()->Join(Type,etc)``RTVALUE`124129
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`124225
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`124311
dScope`0`n`()->Join(CoercibleTo(OutputForm),etc)``SCOPE`124379
dSegmentAst`0`n`()->Join(SpadSyntaxCategory,etc)``SEGAST`124534
dSegmentBinding`1`n`(Type)->Join(Type,etc)`(S)`SEGBIND`124585
dSegment`1`n`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`124740
dSemiGroupOperation`1`n`(BasicType)->Join(SemiGroupOperatorCategory(T),etc)`(T)`SGPOP`124813
dSequenceAst`0`n`()->Join(SpadSyntaxCategory,etc)``SEQAST`124864
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`124917
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`125174
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`125849
dSet`1`n`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`125963
dSignatureAst`0`n`()->Join(SpadSyntaxCategory,etc)``SIGAST`127019
dSignature`0`n`()->Join(SetCategory,etc)``SIG`127235
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`127454
dSingleInteger`0`n`()->Join(IntegerNumberSystem,etc)``SINT`128033
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`128104
dSpadAst`0`n`()->SpadAstExports``SPADAST`128192
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`128447
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`128795
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`129080
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`129198
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`129758
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`130132
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`130703
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`130865
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`131446
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`131920
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`132543
dSquareFreeRegularTriangularSet`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`133585
dSquareMatrix`2`n`(NonNegativeInteger,R:Ring)->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`134063
dStack`1`n`(Type)->Join(StackAggregate(S),etc)`(S)`STACK`134209
dStepAst`0`n`()->Join(SpadSyntaxCategory,etc)``STEPAST`134253
dStream`1`n`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`134325
dStringTable`1`n`(SetCategory)->TableAggregate(String,Entry)`(Entry)`STRTBL`134495
dString`0`n`()->Join(StringAggregate,etc)``STRING`134606
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`134653
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`134719
dSuchThatAst`0`n`()->Join(SpadSyntaxCategory,etc)``SUCHTAST`134751
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`134808
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`134855
dSymbol`0`n`()->Join(OrderedSet,etc)``SYMBOL`134925
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`134959
dSyntax`0`n`()->Join(UnionType,etc)``SYNTAX`135009
dSystemInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSINT`135871
dSystemNonNegativeInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSNNI`136363
dSystemPointer`0`n`()->SetCategory``SYSPTR`136857
dTable`2`n`(SetCategory,Entry:SetCategory)->TableAggregate(Key,Entry)`(Key,Entry)`TABLE`136918
dTableau`1`n`(SetCategory)->etc`(S)`TABLEAU`137142
dTaylorSeries`1`n`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`137285
dTermAlgebraOperator`1`n`(SetCategory)->Join(OperatorCategory(S),etc)`(S)`TALGOP`137416
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`137529
dTextFile`0`n`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`138239
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`138377
dThreeDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW3D`0
dThreeSpace`1`n`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`138527
dTree`1`n`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`138709
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`138871
dTuple`1`n`(Type)->Join(HomotopicTo(PrimitiveArray(S)),etc)`(S)`TUPLE`139018
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`139141
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`139259
dTypeAst`0`n`()->SpadSyntaxCategory``TYPEAST`139325
dUInt16`0`n`()->Join(OrderedFinite,etc)``UINT16`139366
dUInt32`0`n`()->Join(OrderedFinite,etc)``UINT32`139450
dUInt64`0`n`()->Join(OrderedFinite,etc)``UINT64`139534
dUInt8`0`n`()->Join(OrderedFinite,etc)``UINT8`139618
dUnion`1`x`special`(A,B,...,C)`union`139701
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`139849
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`140174
dUnivariatePolynomial`2`n`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`140721
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`140936
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(RetractableTo(Integer),etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(FiniteAbelianMonoidRing(UnivariatePuiseuxSeries(FE,var,cen),ExponentialOfUnivariatePuiseuxSeries(FE,var,cen)),etc)`(R,FE,var,cen)`UPXSSING`141264
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`141793
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`142351
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`142526
dUniversalSegment`1`n`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`142994
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`143111
dVector`1`n`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`143150
dVoid`0`n`()->Join(CoercibleTo(OutputForm),etc)``VOID`143277
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`143501
dWhereAst`0`n`()->Join(SpadSyntaxCategory,etc)``WHEREAST`143763
dWhileAst`0`n`()->Join(SpadSyntaxCategory,etc)``WHILEAST`143828
dWuWenTsunTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`143886
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCat(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`144923
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`145127
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`145404
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`145705
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`145972
dYoungDiagram`0`n`()->Join(SetCategory,etc)``YDIAGRAM`146182
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xFiniteAggregate&(A,S)``0
o#`1`n`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o#`1`n`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``146244
o#`1`n`(_$)->NonNegativeInteger`cFiniteAggregate(S)``146291
o#`1`n`(_$)->NonNegativeInteger`dDomainTemplate``146349
o#`1`n`(_$)->NonNegativeInteger`dPartition``146419
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``146492
o**`2`n`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``146551
o**`2`n`(BasicOperator,Integer)->_$`dModuleOperator(R,M)``146651
o**`2`n`(BasicOperator,Integer)->_$`dOperator(R)``0
o**`2`n`(F,F)->F`pCombinatorialFunction(R,F)``146684
o**`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`146736
o**`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``146807
o**`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o**`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o**`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o**`2`n`(S,Integer)->S`xGroup&(S)``0
o**`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o**`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,Integer)->_$`dFreeGroup(S)``146924
o**`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonoid&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,NonNegativeInteger)->_$`cFreeMonoidCategory(S)``147002
o**`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonoid&(S)``0
o**`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,PositiveInteger)->S`xSemiGroup&(S)``0
o**`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o**`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``147080
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``147188
o**`2`n`(ULS,Fraction(Integer))->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`147296
o**`2`n`(UPXS,Fraction(Integer))->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`147378
o**`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``147461
o**`2`n`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`147531
o**`2`n`(_$,Fraction(Integer))->_$`cRadicalCategory``147752
o**`2`n`(_$,Integer)->_$`cDivisionRing``147838
o**`2`n`(_$,Integer)->_$`cGroup``147911
o**`2`n`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`147984
o**`2`n`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`148131
o**`2`n`(_$,Integer)->_$`dInputForm``148240
o**`2`n`(_$,Integer)->_$`dModuleOperator(R,M)``148315
o**`2`n`(_$,Integer)->_$`dOperator(R)``0
o**`2`n`(_$,NonNegativeInteger)->_$`cFunctionSpace(R)`has(R,SemiGroup)`148348
o**`2`n`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``148440
o**`2`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``148559
o**`2`n`(_$,NonNegativeInteger)->_$`cMonoid``148659
o**`2`n`(_$,NonNegativeInteger)->_$`dInputForm``148770
o**`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``148845
o**`2`n`(_$,NonNegativeInteger)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``148900
o**`2`n`(_$,PositiveInteger)->_$`cMonad``148971
o**`2`n`(_$,PositiveInteger)->_$`cSemiGroup``149071
o**`2`n`(_$,_$)->_$`cElementaryFunctionCategory``149182
o**`2`n`(_$,_$)->_$`dCardinalNumber``149240
o**`2`n`(_$,_$)->_$`dDoubleFloat``149350
o**`2`n`(_$,_$)->_$`dFloat``149443
o**`2`n`(_$,_$)->_$`dOutputForm``149513
o**`2`n`(_$,_$)->_$`dPattern(R)``149568
o*`2`n`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``149623
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``149709
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``149845
o*`2`n`(DoubleFloat,_$)->_$`dColor``150031
o*`2`n`(E,S)->_$`cFreeAbelianMonoidCategory(S,E)``150133
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)``150185
o*`2`n`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`150228
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,_$)->_$`cAbelianMonoid``150321
o*`2`n`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``150389
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(PositiveInteger,_$)->_$`cAbelianSemiGroup``150420
o*`2`n`(PositiveInteger,_$)->_$`dColor``150580
o*`2`n`(R,Basis)->_$`cFreeModuleCat(R,Basis)``150682
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,Vector(polR))->Vector(polR)`pPseudoRemainderSequence(R,polR)``150744
o*`2`n`(R,_$)->_$`cGradedModule(R,E)``150840
o*`2`n`(R,_$)->_$`cMatrixCategory(R,Row,Col)``150888
o*`2`n`(R,_$)->_$`cVectorCategory(R)`has(R,Monoid)`150981
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Row,_$)->Row`cMatrixCategory(R,Row,Col)``151077
o*`2`n`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``151206
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,R)->_$`dFreeModule1(R,S)``151335
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`cFreeMonoidCategory(S)``151423
o*`2`n`(S,_$)->_$`cLeftLinearSet(S)``151499
o*`2`n`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`151562
o*`2`n`(S,_$)->_$`dFreeGroup(S)``151660
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``151736
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``151801
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``151930
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``152099
o*`2`n`(_$,Col)->Col`cMatrixCategory(R,Row,Col)``152164
o*`2`n`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``152296
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``152428
o*`2`n`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``152510
o*`2`n`(_$,R)->_$`cGradedModule(R,E)``152575
o*`2`n`(_$,R)->_$`cMatrixCategory(R,Row,Col)``152624
o*`2`n`(_$,R)->_$`cVectorCategory(R)`has(R,Monoid)`152720
o*`2`n`(_$,R)->_$`cXFreeAlgebra(vl,R)``152813
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``152924
o*`2`n`(_$,S)->_$`cFreeMonoidCategory(S)``152986
o*`2`n`(_$,S)->_$`cRightLinearSet(S)``153063
o*`2`n`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`153127
o*`2`n`(_$,S)->_$`dFreeGroup(S)``153225
o*`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``153302
o*`2`n`(_$,_$)->_$`cMonad``153418
o*`2`n`(_$,_$)->_$`cSemiGroup``153509
o*`2`n`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``153572
o*`2`n`(_$,_$)->_$`dInputForm``153953
o*`2`n`(_$,_$)->_$`dMagma(VarSet)``154026
o*`2`n`(_$,_$)->_$`dOutputForm``154092
o*`2`n`(_$,_$)->_$`dPattern(R)``154146
o*`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``154199
o*`2`n`(vl,_$)->_$`cXFreeAlgebra(vl,R)``154273
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``154348
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``154601
o+`2`n`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`154662
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``154755
o+`2`n`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``154883
o+`2`n`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`154943
o+`2`n`(_$,_$)->_$`cAbelianSemiGroup``155036
o+`2`n`(_$,_$)->_$`cGradedModule(R,E)``155096
o+`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``155276
o+`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`155388
o+`2`n`(_$,_$)->_$`dColor``155536
o+`2`n`(_$,_$)->_$`dDatabase(S)``155614
o+`2`n`(_$,_$)->_$`dInputForm``155692
o+`2`n`(_$,_$)->_$`dOutputForm``155765
o+`2`n`(_$,_$)->_$`dPattern(R)``155819
o+`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``155872
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)``155957
o-`1`n`(_$)->_$`cAbelianGroup``156060
o-`1`n`(_$)->_$`cGradedModule(R,E)``156112
o-`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``156221
o-`1`n`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`156282
o-`1`n`(_$)->_$`dOutputForm``156345
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``156398
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`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`156654
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``156754
o-`2`n`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`156889
o-`2`n`(_$,_$)->Union(_$,"failed")`dCardinalNumber``156989
o-`2`n`(_$,_$)->_$`cAbelianGroup``157098
o-`2`n`(_$,_$)->_$`cGradedModule(R,E)``157193
o-`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``157380
o-`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`157499
o-`2`n`(_$,_$)->_$`dDatabase(S)``157654
o-`2`n`(_$,_$)->_$`dOutputForm``157814
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`n`(_$,_$)->_$`cLogic``157868
o/`2`n`(A,S)->A`xVectorSpace&(A,S)``0
o/`2`n`(A,S)->_$`dLocalAlgebra(A,R,S)``157976
o/`2`n`(M,S)->_$`dLocalize(M,R,S)``158037
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`(S,S)->_$`cQuotientFieldCategory(S)``158098
o/`2`n`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`158172
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``158260
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``158449
o/`2`n`(_$,Integer)->_$`dDoubleFloat``158510
o/`2`n`(_$,Integer)->_$`dFloat``158589
o/`2`n`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`158668
o/`2`n`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`158731
o/`2`n`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`158811
o/`2`n`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`158898
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`158985
o/`2`n`(_$,S)->_$`cVectorSpace(S)``159026
o/`2`n`(_$,S)->_$`dLocalAlgebra(A,R,S)``159095
o/`2`n`(_$,S)->_$`dLocalize(M,R,S)``159156
o/`2`n`(_$,_$)->Union(_$,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`159217
o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`159323
o/`2`n`(_$,_$)->_$`cField``159429
o/`2`n`(_$,_$)->_$`cGroup``159525
o/`2`n`(_$,_$)->_$`dEquation(S)`has(S,Field)`159597
o/`2`n`(_$,_$)->_$`dInputForm``159720
o/`2`n`(_$,_$)->_$`dOutputForm``159793
o/`2`n`(_$,_$)->_$`dPattern(R)``159847
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`n`()->_$`cAbelianMonoid``159900
o0`0`n`()->_$`cGradedModule(R,E)``159942
o0`0`n`()->_$`dInputForm``159980
o0`0`n`()->_$`dPattern(R)``160038
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`n`()->_$`cGradedAlgebra(R,E)``160046
o1`0`n`()->_$`cMonadWithUnit``160090
o1`0`n`()->_$`cMonoid``160140
o1`0`n`()->_$`dInputForm``160180
o1`0`n`()->_$`dPattern(R)``160238
o1`0`n`()->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``160246
o<=`2`n`(S,S)->Boolean`xOrderedType&(S)``0
o<=`2`n`(_$,_$)->Boolean`cOrderedType``160285
o<=`2`n`(_$,_$)->Boolean`dPermutationGroup(S)``160377
o<=`2`n`(_$,_$)->_$`dOutputForm``160587
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`n`(_$,_$)->Boolean`cOrderedType``160642
o<`2`n`(_$,_$)->Boolean`cPermutationCategory(S)``160724
o<`2`n`(_$,_$)->Boolean`dPermutationGroup(S)``160878
o<`2`n`(_$,_$)->_$`dOutputForm``160981
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`xFiniteAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xOrderedType&(S)``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`(S,S)->_$`dEquation(S)``161035
o=`2`n`(_$,_$)->Boolean`cBasicType``161073
o=`2`n`(_$,_$)->Boolean`dFortranScalarType``161132
o=`2`n`(_$,_$)->Boolean`dReference(S)``161168
o=`2`n`(_$,_$)->_$`dOutputForm``161227
o>=`2`n`(S,S)->Boolean`xOrderedType&(S)``0
o>=`2`n`(_$,_$)->Boolean`cOrderedType``161281
o>=`2`n`(_$,_$)->_$`dOutputForm``161376
o>`2`n`(S,S)->Boolean`xOrderedType&(S)``0
o>`2`n`(_$,_$)->Boolean`cOrderedType``161431
o>`2`n`(_$,_$)->_$`dOutputForm``161516
oAleph`1`n`(NonNegativeInteger)->_$`dCardinalNumber``161570
oAn`1`n`(_$)->Vector(R)`dModMonic(R,P)``161639
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)``161672
oBY`2`n`(_$,Integer)->_$`cSegmentCategory(S)``162272
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``162370
oBeta`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``162462
oBeta`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``162722
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``162982
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``163064
oBeta`2`n`(_$,_$)->_$`cSpecialFunctionCategory``163101
oBeta`2`n`(_$,_$)->_$`dDoubleFloat``163166
oBumInSepFFE`1`n`(Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer))->Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer)`pUnivariatePolynomialSquareFree(RC,P)``163231
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``163345
oCi`1`n`(_$)->_$`cLiouvillianFunctionCategory``163392
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`n`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``163510
oD`1`n`(S)->S`xDifferentialSpace&(S)``0
oD`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``0
oD`1`n`(S)->T`xDifferentialDomain&(S,T)``0
oD`1`n`(_$)->T`cDifferentialDomain(T)``163601
oD`2`n`(A,List(S))->A`xPartialDifferentialSpace&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialSpace&(A,S)``0
oD`2`n`(A,S)->T`xPartialDifferentialDomain&(A,T,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialSpace&(S)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,Symbol)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``163660
oD`2`n`(_$,List(S))->_$`cPartialDifferentialSpace(S)``163726
oD`2`n`(_$,NonNegativeInteger)->_$`cDifferentialSpace``163810
oD`2`n`(_$,S)->T`cPartialDifferentialDomain(T,S)``163886
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``163951
oD`3`n`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``164021
oD`3`n`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``164131
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``164201
oEi`1`n`(_$)->_$`cLiouvillianFunctionCategory``164253
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``164374
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``164432
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``164490
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``164524
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``164610
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``164693
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`n`(_$)->_$`cExtensionField(F)`has(F,Finite)`164733
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`n`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`164821
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``164914
oGamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``165045
oGamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``165205
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``165365
oGamma`1`n`(_$)->_$`cSpecialFunctionCategory``165441
oGamma`1`n`(_$)->_$`dDoubleFloat``165492
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``165543
oGamma`2`n`(_$,_$)->_$`cSpecialFunctionCategory``165631
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``165689
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``166251
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``166371
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``166576
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``167000
oIs`2`n`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``167137
oIs`2`n`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`167265
oIs`2`n`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`167512
oIs`2`n`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`167759
oKrullNumber`2`n`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`n`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``168033
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``168148
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``168204
oLazardQuotient2`4`n`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`168327
oLazardQuotient`3`n`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`168510
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``168650
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``168743
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``168904
oLiePoly`1`n`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``169006
oListOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``169106
oListOfTerms`1`n`(_$)->List(Record(k:Basis,c:R))`cFreeModuleCat(R,Basis)``169200
oListOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``169378
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``169471
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``169680
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``169770
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``169869
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``170027
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``170168
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``170263
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``170433
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``170543
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`170638
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``170699
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``170902
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``171172
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`n`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``171259
oSEGMENT`1`n`(S)->_$`dUniversalSegment(S)``171519
oSEGMENT`1`n`(_$)->_$`dOutputForm``171604
oSEGMENT`2`n`(S,S)->_$`cSegmentCategory(S)``171665
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``171746
oSFunction`1`n`(List(PositiveInteger))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``171809
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``171955
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``172039
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``172166
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``172359
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``172440
oSi`1`n`(_$)->_$`cLiouvillianFunctionCategory``172485
oSturmHabichtCoefficients`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``172601
oSturmHabichtMultiple`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`172723
oSturmHabichtSequence`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``172994
oSturmHabicht`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``173098
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``173361
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``173422
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``173480
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,P)``173580
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``173622
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,P)``173830
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``173870
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``173937
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`n`(_$,_$)->_$`cLogic``174096
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``174203
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``174246
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``174286
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``174331
oabelianGroup`1`n`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``174378
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``174511
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedAbelianGroup&(S)``0
oabs`1`n`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`174587
oabs`1`n`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`174715
oabs`1`n`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`174802
oabs`1`n`(_$)->_$`cOrderedAbelianGroup``174885
oabs`1`n`(_$)->_$`cSpecialFunctionCategory``174945
oabsolutelyIrreducible?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``175005
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``175086
oacosIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``175167
oacos`1`n`(F)->F`pElementaryFunction(R,F)``175255
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``175324
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``175394
oacos`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``175464
oacos`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``175536
oacos`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``175610
oacoshIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``175667
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``175757
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``175838
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``175929
oacosh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``176020
oacosh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``176108
oacosh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``176198
oacotIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``176267
oacot`1`n`(F)->F`pElementaryFunction(R,F)``176355
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``176427
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``176500
oacot`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``176573
oacot`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``176648
oacot`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``176725
oacothIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``176785
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``176875
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``176959
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``177053
oacoth`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``177147
oacoth`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``177238
oacoth`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``177331
oacscIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``177403
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``177491
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``177562
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``177634
oacsc`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``177706
oacsc`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``177780
oacsc`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``177856
oacschIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``177915
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``178005
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``178088
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``178181
oacsch`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``178274
oacsch`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``178364
oacsch`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``178456
oadaptive3D?`0`n`()->Boolean`dPlot3D``178527
oadaptive?`0`n`()->Boolean`dPlot``178602
oadaptive`0`n`()->Boolean`pGraphicsDefaults``178674
oadaptive`1`n`(Boolean)->Boolean`pGraphicsDefaults``178751
oadaptive`1`n`(Boolean)->_$`dDrawOption``178859
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``179039
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``179246
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``179391
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``179542
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``179914
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``180151
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``180327
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``180614
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``180772
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``181543
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``182282
oaddmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``182509
oadjoint`1`n`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`182584
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``182759
oadjoint`1`n`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`182818
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`n`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`182890
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oairyAi`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``183006
oairyAi`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``183161
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``183316
oairyAi`1`n`(_$)->_$`cSpecialFunctionCategory``183387
oairyBi`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``183445
oairyBi`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``183600
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``183755
oairyBi`1`n`(_$)->_$`cSpecialFunctionCategory``183826
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``183884
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`n`(_$,(UP)->UP)->Record(num:_$,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``184195
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`n`(_$)->Boolean`cExtensionField(F)``184506
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`n`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``184623
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``184759
oalgebraicDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`n`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicOf`2`n`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``184942
oalgebraicSort`1`n`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``184997
oalgebraicSort`1`n`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``185131
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`n`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``185264
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``185394
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``185569
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``185662
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(_$)`cRealClosedField``185750
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(_$))->List(_$)`cRealClosedField``185838
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``185926
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``186014
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``186102
oallRootsOf`1`n`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``186190
oalphabetic?`1`n`(_$)->Boolean`dCharacter``186298
oalphabetic`0`n`()->_$`dCharacterClass``186412
oalphanumeric?`1`n`(_$)->Boolean`dCharacter``186537
oalphanumeric`0`n`()->_$`dCharacterClass``186678
oalternatingGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``186807
oalternatingGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``187256
oalternating`1`n`(NonNegativeInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``187618
oalternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``187723
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``187953
oand`2`n`(S,S)->S`xBooleanLogic&(S)``0
oand`2`n`(_$,_$)->_$`cBooleanLogic``188183
oand`2`n`(_$,_$)->_$`dOutputForm``188254
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`188310
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`n`(_$,_$)->Boolean`cRng``188418
oantiAssociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``188509
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``188701
oantiCommutative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``188893
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``189053
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`n`(_$,_$)->_$`cNonAssociativeRng``189213
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``189270
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``189307
oantisymmetric?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``189511
oantisymmetricTensors`2`n`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`189715
oantisymmetricTensors`2`n`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`190277
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xFiniteAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,_$)->Boolean`cFiniteAggregate(S)``190857
oany`2`n`(SExpression,None)->_$`dAny``191083
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``191272
oappend`2`n`(_$,_$)->_$`dList(S)``191451
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,List(_$))->_$`cFunctionSpace(R)``191606
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,_$)->_$`cFunctionSpace(R)``191680
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`n`(Symbol,_$,_$)->_$`cFunctionSpace(R)``191736
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`n`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``191797
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`n`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``191863
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``191935
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``192148
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``192269
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``192527
oapply`3`n`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``192684
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``192798
oapproxNthRoot`2`n`(I,NonNegativeInteger)->I`pIntegerRoots(I)``192926
oapproxSqrt`1`n`(I)->I`pIntegerRoots(I)``193048
oapproximants`1`n`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``193362
oapproximate`2`n`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(**,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`193573
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``193708
oapproximate`2`n`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``193808
oapproximate`2`n`(_$,_$)->Fraction(Integer)`cRealClosedField``193946
oapproximate`3`n`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``194073
oarbitrary`0`n`()->_$`dArity``194205
oareEquivalent?`2`n`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`194288
oareEquivalent?`3`n`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`194416
oareEquivalent?`4`n`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`194558
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``195855
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``195907
oargscript`2`n`(_$,List(OutputForm))->_$`dSymbol``195960
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``196053
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``196183
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``196312
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``196445
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``196519
oargument`1`n`(_$)->List(S)`dKernel(S)``196597
oargument`1`n`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`196663
oarguments`1`n`(_$)->List(Syntax)`dConstructorCall(C)``196743
oarity`1`n`(S)->Arity`xConstructorCategory&(S)``0
oarity`1`n`(_$)->Arity`cOperatorCategory(S)``196855
oaromberg`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``196924
oarrayStack`1`n`(List(S))->_$`dArrayStack(S)``197710
oasecIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``197867
oasec`1`n`(F)->F`pElementaryFunction(R,F)``197956
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)``198026
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``198097
oasec`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``198168
oasec`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``198241
oasec`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``198316
oasechIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``198374
oasech`1`n`(F)->F`pElementaryFunction(R,F)``198465
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)``198547
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``198639
oasech`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``198731
oasech`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``198820
oasech`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``198911
oasimpson`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``198981
oasinIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``199767
oasin`1`n`(F)->F`pElementaryFunction(R,F)``199856
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)``199924
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``199993
oasin`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``200062
oasin`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``200133
oasin`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``200206
oasinhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``200262
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``200353
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)``200433
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``200523
oasinh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``200613
oasinh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``200700
oasinh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``200789
oassert`2`n`(F,Identifier)->F`pFunctionSpaceAssertions(R,F)``200857
oassert`2`n`(Symbol,Identifier)->Expression(Integer)`pPatternMatchAssertions``200965
oassert`2`n`(_$,Identifier)->_$`dBasicOperator``201037
oassign`2`n`(_$,_$)->_$`dOutputForm``201186
oassoc`2`n`(Key,_$)->Maybe(Record(key:Key,entry:Entry))`cAssociationListAggregate(Key,Entry)``201261
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`201423
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``201613
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`n`(_$,_$)->Boolean`cIntegralDomain``201757
oassociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``201885
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``201965
oassociatorDependence`0`n`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`202045
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``202386
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`n`(_$,_$,_$)->_$`cNonAssociativeRng``202727
oatanIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``202791
oatan`1`n`(F)->F`pElementaryFunction(R,F)``202880
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)``202951
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``203023
oatan`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``203095
oatan`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``203169
oatan`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``203245
oatan`2`n`(_$,_$)->_$`dDoubleFloat``203304
oatan`2`n`(_$,_$)->_$`dFloat``203388
oatanhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``203472
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``203563
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)``203646
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``203739
oatanh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``203832
oatanh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``203922
oatanh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``204014
oatom?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``204085
oatoms`1`n`(PropositionalFormula(T))->Set(T)`pPropositionalFormulaFunctions1(T)``204151
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``204236
oatrapezoidal`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``204329
oattributeData`1`n`(_$)->List(Pair(Syntax,NonNegativeInteger))`dFunctorData``205123
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``205258
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``205354
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``205524
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``205618
oautoCoerce`1`n`(_$)->AttributeAst`cSpadAstExports``206047
oautoCoerce`1`n`(_$)->CapsuleAst`cSpadAstExports``206153
oautoCoerce`1`n`(_$)->CaseAst`cSpadAstExports``206257
oautoCoerce`1`n`(_$)->CategoryAst`cSpadAstExports``206358
oautoCoerce`1`n`(_$)->CoerceAst`cSpadAstExports``206463
oautoCoerce`1`n`(_$)->CollectAst`cSpadAstExports``206566
oautoCoerce`1`n`(_$)->ColonAst`cSpadAstExports``206670
oautoCoerce`1`n`(_$)->ConstructAst`cSpadAstExports``206773
oautoCoerce`1`n`(_$)->DefinitionAst`cSpadAstExports``206879
oautoCoerce`1`n`(_$)->DoubleFloat`dSyntax``206986
oautoCoerce`1`n`(_$)->ExitAst`cSpadAstExports``207139
oautoCoerce`1`n`(_$)->HasAst`cSpadAstExports``207240
oautoCoerce`1`n`(_$)->Identifier`cSpadAstExports``207340
oautoCoerce`1`n`(_$)->Identifier`dParameterAst``207444
oautoCoerce`1`n`(_$)->Identifier`dSyntax``207604
oautoCoerce`1`n`(_$)->IfAst`cSpadAstExports``207768
oautoCoerce`1`n`(_$)->ImportAst`cSpadAstExports``207867
oautoCoerce`1`n`(_$)->InAst`cSpadAstExports``207970
oautoCoerce`1`n`(_$)->Integer`cSpadAstExports``208069
oautoCoerce`1`n`(_$)->Integer`dSyntax``208170
oautoCoerce`1`n`(_$)->IsAst`cSpadAstExports``208327
oautoCoerce`1`n`(_$)->JoinAst`cSpadAstExports``208426
oautoCoerce`1`n`(_$)->LetAst`cSpadAstExports``208560
oautoCoerce`1`n`(_$)->MacroAst`cSpadAstExports``208660
oautoCoerce`1`n`(_$)->MappingAst`cSpadAstExports``208762
oautoCoerce`1`n`(_$)->PretendAst`cSpadAstExports``208866
oautoCoerce`1`n`(_$)->RepeatAst`cSpadAstExports``208970
oautoCoerce`1`n`(_$)->RestrictAst`cSpadAstExports``209073
oautoCoerce`1`n`(_$)->ReturnAst`cSpadAstExports``209178
oautoCoerce`1`n`(_$)->SegmentAst`cSpadAstExports``209281
oautoCoerce`1`n`(_$)->SequenceAst`cSpadAstExports``209385
oautoCoerce`1`n`(_$)->SignatureAst`cSpadAstExports``209490
oautoCoerce`1`n`(_$)->StepAst`cSpadAstExports``209596
oautoCoerce`1`n`(_$)->String`cSpadAstExports``209700
oautoCoerce`1`n`(_$)->String`dParameterAst``209800
oautoCoerce`1`n`(_$)->String`dSyntax``209952
oautoCoerce`1`n`(_$)->SuchThatAst`cSpadAstExports``210107
oautoCoerce`1`n`(_$)->T`dMaybe(T)``210212
oautoCoerce`1`n`(_$)->WhereAst`cSpadAstExports``210342
oautoCoerce`1`n`(_$)->WhileAst`cSpadAstExports``210444
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`n`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``210546
oaxesColorDefault`0`n`()->Palette`pViewDefaultsPackage``210723
oaxesColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``210812
oaxes`2`n`(_$,String)->Void`dThreeDimensionalViewport``210923
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``211152
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``211397
obackOldPos`1`n`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``211655
oback`1`n`(_$)->S`cQueueAggregate(S)``211895
obackspace`0`n`()->_$`dCharacter``212043
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``212103
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``212141
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``212179
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
obag`1`n`(List(S))->_$`cBagAggregate(S)``212311
obalancedBinaryTree`2`n`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``212408
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``212524
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``212700
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``212856
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``213063
obase`0`n`()->PositiveInteger`cFloatingPointSystem``213245
obase`0`n`()->_$`cIntegerNumberSystem``213335
obase`1`n`(_$)->List(S)`dPermutationGroup(S)``213423
obase`1`n`(_$)->SpadAst`dAddAst``213485
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``213571
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``213903
obasisOfCenter`0`n`()->List(A)`pAlgebraPackage(R,A)``214092
obasisOfCentroid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``214331
obasisOfCommutingElements`0`n`()->List(A)`pAlgebraPackage(R,A)``214487
obasisOfLeftAnnihilator`1`n`(A)->List(A)`pAlgebraPackage(R,A)``214653
obasisOfLeftNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``214777
obasisOfLeftNucloid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``214950
obasisOfMiddleNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``215131
obasisOfNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``215306
obasisOfRightAnnihilator`1`n`(A)->List(A)`pAlgebraPackage(R,A)``215515
obasisOfRightNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``215640
obasisOfRightNucloid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``215814
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``215997
obasis`0`n`()->Vector(_$)`cFramedAlgebra(R,UP)``216072
obasis`0`n`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``216135
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``216198
obasis`1`n`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``216293
obasis`1`n`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`216383
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``216455
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``216527
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``216593
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``216700
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``216750
obefore?`2`n`(S,S)->Boolean`xBasicType&(S)``0
obefore?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
obefore?`2`n`(S,S)->Boolean`xOrderedType&(S)``0
obefore?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
obefore?`2`n`(_$,_$)->Boolean`cBasicType``216850
obelong?`1`n`(BasicOperator)->Boolean`cExpressionSpace``216993
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``217080
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``217224
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``217307
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``217387
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``217473
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``217534
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obernoulliB`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`217621
obernoulli`1`n`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``217665
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``217818
obesselI`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``218124
obesselI`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``218333
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``218542
obesselI`2`n`(_$,_$)->_$`cSpecialFunctionCategory``218631
obesselJ`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``218709
obesselJ`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``218909
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``219109
obesselJ`2`n`(_$,_$)->_$`cSpecialFunctionCategory``219198
obesselK`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``219267
obesselK`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``219642
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``220018
obesselK`2`n`(_$,_$)->_$`cSpecialFunctionCategory``220107
obesselY`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``220186
obesselY`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``220558
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``220930
obesselY`2`n`(_$,_$)->_$`cSpecialFunctionCategory``221019
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`221089
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``221225
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`221330
obiRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``221482
obigEndian`0`n`()->_$`dByteOrder``221858
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``221908
obinaryOperation`1`n`((T,T)->T)->_$`dBinaryOperation(T)``221960
obinarySearchTree`1`n`(List(S))->_$`dBinarySearchTree(S)``222071
obinaryTournament`1`n`(List(S))->_$`dBinaryTournament(S)``222119
obinaryTree`1`n`(S)->_$`dBinaryTree(S)``222237
obinaryTree`3`n`(_$,S,_$)->_$`dBinaryTree(S)``222342
obinary`1`n`(Fraction(Integer))->_$`dBinaryExpansion``222471
obinary`2`n`(_$,List(_$))->_$`dInputForm``222545
obinding`2`n`(Identifier,List(Property))->_$`dBinding``222653
obindings`1`n`(_$)->List(Binding)`dContour``222746
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`n`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`222823
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``222920
obinomial`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``223081
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``223283
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`cCombinatorialFunctionCategory``223325
obinomial`2`n`(_$,_$)->_$`dOutputForm``223513
obipolarCylindrical`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``223611
obipolar`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``223898
obirth`1`n`(_$)->_$`dSubSpace(n,R)``224137
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`n`(_$,_$)->Boolean`cIntegerNumberSystem``224174
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``224269
obitLength`1`n`(Integer)->Integer`pIntegerBits``224345
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``224426
obitand`2`n`(_$,_$)->_$`dByte``224519
obitand`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``224587
obitand`2`n`(_$,_$)->_$`dUInt16``0
obitand`2`n`(_$,_$)->_$`dUInt32``0
obitand`2`n`(_$,_$)->_$`dUInt64``0
obitand`2`n`(_$,_$)->_$`dUInt8``0
obitior`2`n`(_$,_$)->_$`dByte``224655
obitior`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``224740
obitior`2`n`(_$,_$)->_$`dUInt16``0
obitior`2`n`(_$,_$)->_$`dUInt32``0
obitior`2`n`(_$,_$)->_$`dUInt64``0
obitior`2`n`(_$,_$)->_$`dUInt8``0
obits`0`n`()->PositiveInteger`cFloatingPointSystem``224817
obits`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`224875
obits`2`n`(NonNegativeInteger,Boolean)->_$`dBits``224968
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``225038
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``225152
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``225316
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``225528
oblue`0`n`()->_$`dColor``225623
oblue`1`n`(_$)->T`cRGBColorModel(T)``225698
obody`1`n`(_$)->List(SpadAst)`dCapsuleAst``225757
obody`1`n`(_$)->List(SpadAst)`dCategoryAst``225839
obody`1`n`(_$)->List(SpadAst)`dCommaAst``225913
obody`1`n`(_$)->List(SpadAst)`dSequenceAst``225982
obody`1`n`(_$)->SpadAst`dAddAst``226072
obody`1`n`(_$)->SpadAst`dCollectAst``226152
obody`1`n`(_$)->SpadAst`dDefinitionAst``226243
obody`1`n`(_$)->SpadAst`dMacroAst``226316
obody`1`n`(_$)->SpadAst`dReduceAst``226389
obody`1`n`(_$)->SpadAst`dRepeatAst``226457
obody`1`n`(_$)->Syntax`dAnonymousFunction``226513
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``226581
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``226658
obothWays`0`n`()->_$`dIOMode``226742
obottom!`1`n`(_$)->S`cDequeueAggregate(S)``226824
oboundOfCauchy`1`n`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`226906
obounds`1`n`(_$)->List(SpadAst)`dSegmentAst``226974
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(List(_$))->_$`cExpressionSpace``227119
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`cExpressionSpace``227420
obox`1`n`(_$)->_$`dOutputForm``227657
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`n`()->_$`cSetAggregate(S)``227706
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(S))->_$`cSetAggregate(S)``227882
obrace`1`n`(List(_$))->_$`dOutputForm``228056
obrace`1`n`(_$)->_$`dOutputForm``228187
obracket`1`n`(List(_$))->_$`dOutputForm``228274
obracket`1`n`(_$)->_$`dOutputForm``228408
obranchIfCan`8`n`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``228489
obranchIfCan`8`n`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``228655
obranchPoint?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``228821
obranchPoint?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``228897
obranchPointAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``228976
obright`1`n`(Color)->_$`dPalette``229061
obright`1`n`(List(String))->List(String)`pDisplayPackage``229155
obright`1`n`(String)->List(String)`pDisplayPackage``229257
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``229346
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``229506
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``229807
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``229903
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``230040
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``230081
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)``230124
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``230384
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`230908
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``230951
obuildSyntax`2`n`(Identifier,List(_$))->_$`dSyntax``230996
obuildSyntax`2`n`(_$,List(_$))->_$`dSyntax``231101
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``231206
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``231247
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``231412
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``231553
obyteBuffer`1`n`(NonNegativeInteger)->_$`dByteBuffer``231694
obyte`1`n`(NonNegativeInteger)->_$`dByte``231777
obytes`1`n`(_$)->DataArray(4,Byte)`dIP4Address``231905
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`231974
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`232100
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`232243
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`232372
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`232518
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`232646
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`232791
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`232917
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233060
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233184
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233325
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233452
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233596
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233718
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233852
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233977
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234114
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234238
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234374
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234501
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234626
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234768
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234873
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234995
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235129
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235249
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235381
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235504
ocache`0`n`()->List(S)`pSortedCache(S)``235639
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``235698
ocallForm?`1`n`(_$)->Boolean`dElaboratedExpression``235740
ocap`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``235813
ocapacity`1`n`(_$)->NonNegativeInteger`dByteBuffer``235925
ocar`1`n`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``236002
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`n`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``236052
ocarriageReturn`0`n`()->_$`dCharacter``236168
ocartesian`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``236225
ocase`2`n`(_$,[||](AttributeAst))->Boolean`cSpadAstExports``236307
ocase`2`n`(_$,[||](CapsuleAst))->Boolean`cSpadAstExports``236379
ocase`2`n`(_$,[||](CaseAst))->Boolean`cSpadAstExports``236453
ocase`2`n`(_$,[||](CategoryAst))->Boolean`cSpadAstExports``236525
ocase`2`n`(_$,[||](CoerceAst))->Boolean`cSpadAstExports``236603
ocase`2`n`(_$,[||](CollectAst))->Boolean`cSpadAstExports``236679
ocase`2`n`(_$,[||](ColonAst))->Boolean`cSpadAstExports``236757
ocase`2`n`(_$,[||](ConstructAst))->Boolean`cSpadAstExports``236831
ocase`2`n`(_$,[||](DefinitionAst))->Boolean`cSpadAstExports``236908
ocase`2`n`(_$,[||](DoubleFloat))->Boolean`dSyntax``236981
ocase`2`n`(_$,[||](ExitAst))->Boolean`cSpadAstExports``237060
ocase`2`n`(_$,[||](HasAst))->Boolean`cSpadAstExports``237133
ocase`2`n`(_$,[||](Identifier))->Boolean`cSpadAstExports``237203
ocase`2`n`(_$,[||](Identifier))->Boolean`dParameterAst``237274
ocase`2`n`(_$,[||](Identifier))->Boolean`dSyntax``237380
ocase`2`n`(_$,[||](IfAst))->Boolean`cSpadAstExports``237458
ocase`2`n`(_$,[||](ImportAst))->Boolean`cSpadAstExports``237526
ocase`2`n`(_$,[||](InAst))->Boolean`cSpadAstExports``237604
ocase`2`n`(_$,[||](Integer))->Boolean`cSpadAstExports``237669
ocase`2`n`(_$,[||](Integer))->Boolean`dSyntax``237742
ocase`2`n`(_$,[||](IsAst))->Boolean`cSpadAstExports``237814
ocase`2`n`(_$,[||](JoinAst))->Boolean`cSpadAstExports``237883
ocase`2`n`(_$,[||](LetAst))->Boolean`cSpadAstExports``237988
ocase`2`n`(_$,[||](MacroAst))->Boolean`cSpadAstExports``238066
ocase`2`n`(_$,[||](MappingAst))->Boolean`cSpadAstExports``238140
ocase`2`n`(_$,[||](PretendAst))->Boolean`cSpadAstExports``238212
ocase`2`n`(_$,[||](RepeatAst))->Boolean`cSpadAstExports``238290
ocase`2`n`(_$,[||](RestrictAst))->Boolean`cSpadAstExports``238361
ocase`2`n`(_$,[||](ReturnAst))->Boolean`cSpadAstExports``238441
ocase`2`n`(_$,[||](SegmentAst))->Boolean`cSpadAstExports``238516
ocase`2`n`(_$,[||](SequenceAst))->Boolean`cSpadAstExports``238594
ocase`2`n`(_$,[||](SignatureAst))->Boolean`cSpadAstExports``238677
ocase`2`n`(_$,[||](StepAst))->Boolean`cSpadAstExports``238755
ocase`2`n`(_$,[||](String))->Boolean`cSpadAstExports``238849
ocase`2`n`(_$,[||](String))->Boolean`dParameterAst``238919
ocase`2`n`(_$,[||](String))->Boolean`dSyntax``239003
ocase`2`n`(_$,[||](SuchThatAst))->Boolean`cSpadAstExports``239072
ocase`2`n`(_$,[||](T))->Boolean`dMaybe(T)``239153
ocase`2`n`(_$,[||](WhereAst))->Boolean`cSpadAstExports``239245
ocase`2`n`(_$,[||](WhileAst))->Boolean`cSpadAstExports``239337
ocase`2`n`(_$,[||](false))->Boolean`dKleeneTrivalentLogic``239408
ocase`2`n`(_$,[||](nothing))->Boolean`dMaybe(T)``239472
ocase`2`n`(_$,[||](true))->Boolean`dKleeneTrivalentLogic``239545
ocase`2`n`(_$,[||](unknown))->Boolean`dKleeneTrivalentLogic``239608
ocategories`1`n`(_$)->List(TypeAst)`dJoinAst``239676
ocategories`1`n`(_$)->PrimitiveArray(ConstructorCall(CategoryConstructor))`dFunctorData``239739
ocategoryFrame`0`n`()->_$`dEnvironment``239873
ocategoryMode`0`n`()->_$`dInternalTypeForm``239933
ocategory`0`n`()->_$`dConstructorKind``239998
ocdr`1`n`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``240053
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`240112
oceiling`1`n`(_$)->_$`cRealNumberSystem``240191
ocenter`1`n`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``240254
ocenter`1`n`(_$)->_$`dOutputForm``240341
ocenter`2`n`(_$,Integer)->_$`dOutputForm``240403
ocenter`3`n`(List(String),Integer,String)->List(String)`pDisplayPackage``240483
ocenter`3`n`(String,Integer,String)->String`pDisplayPackage``240763
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``241076
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``241301
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``241344
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``241486
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``241637
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``241720
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``241803
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``241941
ocharClass`1`n`(List(Character))->_$`dCharacterClass``242074
ocharClass`1`n`(String)->_$`dCharacterClass``242193
ochar`1`n`(NonNegativeInteger)->_$`dCharacter``242314
ochar`1`n`(String)->_$`dCharacter``242454
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``242535
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``242631
ocharacteristicPolynomial`1`n`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``242740
ocharacteristicPolynomial`1`n`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``242921
ocharacteristicPolynomial`1`n`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``243087
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(_$)->UP`cFiniteRankAlgebra(R,UP)``243247
ocharacteristicPolynomial`2`n`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``243396
ocharacteristicPolynomial`2`n`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``243572
ocharacteristicPolynomial`2`n`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``243755
ocharacteristicPolynomial`2`n`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``243911
ocharacteristicSerie`1`n`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``244182
ocharacteristicSerie`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``244312
ocharacteristicSet`1`n`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``244692
ocharacteristicSet`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``244818
ocharacteristic`0`n`()->NonNegativeInteger`cNonAssociativeRing``245587
ocharacteristic`0`n`()->NonNegativeInteger`cRing``245658
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``245866
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(_$)->Maybe(_$)`cCharacteristicNonZero``246113
ocharthRoot`1`n`(_$)->Maybe(_$)`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`246231
ocharthRoot`1`n`(_$)->_$`cFiniteFieldCategory``246358
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``246484
ochebyshevT`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``246776
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``246965
ochebyshevU`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``247252
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``247436
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``247691
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``247962
ocheck`1`n`(_$)->_$`cThreeSpaceCategory(R)``248081
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``248207
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``248243
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``248285
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`n`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`248326
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``248404
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(_$)->List(_$)`cRecursiveAggregate(S)``248443
ochildren`1`n`(_$)->List(_$)`dSubSpace(n,R)``248523
ochineseRemainder`2`n`(List(List(R)),List(R))->List(R)`pCRApackage(R)``248563
ochineseRemainder`2`n`(List(R),List(R))->R`pCRApackage(R)``248820
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)``249094
ochineseRemainder`4`n`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``249148
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``249343
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``249381
oclearCache`0`n`()->Void`pSortedCache(S)``249734
oclearDenominator`1`n`(A)->A`pCommonDenominator(R,Q,A)``249780
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``249938
oclearDenominator`1`n`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``250096
oclearDenominator`1`n`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``250241
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``250390
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``250485
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``250554
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``250634
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``250681
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``250895
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``251264
oclipPointsDefault`0`n`()->Boolean`pGraphicsDefaults``251661
oclipPointsDefault`1`n`(Boolean)->Boolean`pGraphicsDefaults``251755
oclipSurface`2`n`(_$,String)->Void`dThreeDimensionalViewport``251920
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``252223
oclip`1`n`(Boolean)->_$`dDrawOption``252569
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``252733
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``253008
oclip`1`n`(List(Segment(Float)))->_$`dDrawOption``253289
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``253447
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``253731
oclose!`1`n`(_$)->_$`cConduit``254040
oclose!`1`n`(_$)->_$`cFileCategory(Name,S)``254174
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``254252
oclose`1`n`(_$)->Void`dThreeDimensionalViewport``254717
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``254925
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``255129
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``255168
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``255207
oclosedCurve?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``255286
oclosedCurve`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``255522
oclosedCurve`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``255785
oclosedCurve`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``256128
oclosedCurve`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``256659
oclosed`0`n`()->_$`dIOMode``256924
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``256992
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`n`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`257081
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``257162
ocoef`2`n`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``257203
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``257370
ocoef`2`n`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``257486
ocoef`2`n`(_$,_$)->R`cXFreeAlgebra(vl,R)``257568
ocoefficient`1`n`(_$)->A`dIndexedProductTerm(A,S)``257698
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``257772
ocoefficient`2`n`(_$,Basis)->R`cFreeModuleCat(R,Basis)``257922
ocoefficient`2`n`(_$,E)->R`cAbelianMonoidRing(R,E)``258002
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``258169
ocoefficient`2`n`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,Q)``258214
ocoefficient`2`n`(_$,M)->R`dMonoidRing(R,M)``258328
ocoefficient`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``258454
ocoefficient`2`n`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``258528
ocoefficient`2`n`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``258635
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``258742
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``258816
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``259007
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``259226
ocoefficient`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``259352
ocoefficient`3`n`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``259567
ocoefficient`3`n`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``259651
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``259806
ocoefficients`1`n`(_$)->List(R)`cFreeModuleCat(R,Basis)``259900
ocoefficients`1`n`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``259976
ocoefficients`1`n`(_$)->List(R)`dMonoidRing(R,M)``260068
ocoefficients`1`n`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``260131
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``260281
ocoerceImages`1`n`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`260622
ocoerceImages`1`n`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`260934
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``261246
ocoerceListOfPairs`1`n`(List(List(S)))->_$`dPermutation(S)``261375
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``261669
ocoercePreimagesImages`1`n`(List(List(S)))->_$`dPermutation(S)``261802
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``262016
ocoerce`1`n`(A)->()->A`pMappingPackage1(A)``262136
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`xFiniteAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOperatorCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``262219
ocoerce`1`n`(A)->_$`dAssociatedJordanAlgebra(R,A)``262306
ocoerce`1`n`(A)->_$`dAssociatedLieAlgebra(R,A)``262469
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Character)->_$`cStringAggregate``262626
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Col)->_$`cMatrixCategory(R,Row,Col)``262717
ocoerce`1`n`(Exit)->S`pResolveLatticeCompletion(S)``262794
ocoerce`1`n`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``262951
ocoerce`1`n`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``263395
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``263842
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``263929
ocoerce`1`n`(FourierComponent(E))->_$`dFourierSeries(R,E)``263991
ocoerce`1`n`(Fraction(Factored(R)))->_$`dPartialFraction(R)``264058
ocoerce`1`n`(Fraction(Integer))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Fraction(Integer))->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Fraction(Integer))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``264350
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`264500
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`264562
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``264624
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xRing&(S)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Integer)->_$`cNonAssociativeRing``264759
ocoerce`1`n`(Integer)->_$`dOrdSetInts``264839
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``264909
ocoerce`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``264967
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``265060
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``265317
ocoerce`1`n`(List(List(S)))->_$`dPermutation(S)``265821
ocoerce`1`n`(List(Permutation(S)))->_$`dPermutationGroup(S)``266145
ocoerce`1`n`(List(Record(coef:R,monom:M)))->_$`dMonoidRing(R,M)``266247
ocoerce`1`n`(List(S))->_$`dPermutation(S)``266341
ocoerce`1`n`(List(TypeAst))->_$`dImportAst``266569
ocoerce`1`n`(List(TypeAst))->_$`dJoinAst``266642
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``266709
ocoerce`1`n`(Pi)->Expression(R)`pPiCoercions(R)``266799
ocoerce`1`n`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``266868
ocoerce`1`n`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``266994
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`267095
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``267157
ocoerce`1`n`(R)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(R)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(R)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(R)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(R)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->_$`cLeftAlgebra(R)``267243
ocoerce`1`n`(R)->_$`dFourierSeries(R,E)``267333
ocoerce`1`n`(S)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(S)->A`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(S)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(S)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(S)->Any`pAnyFunctions1(S)``267399
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->None`pNoneFunctions1(S)``267502
ocoerce`1`n`(S)->OutputForm`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->OutputForm`xFunctionSpace&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xNonAssociativeRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xOctonionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->OutputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->OutputForm`xRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xStringAggregate&(S)``0
ocoerce`1`n`(S)->OutputForm`xTableAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(S)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Syntax`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(S)->TexFormat`pTexFormat1(S)``267583
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->Void`pResolveLatticeCompletion(S)``267810
ocoerce`1`n`(S)->_$`cCoercibleFrom(S)``268145
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``268209
ocoerce`1`n`(Segment(S))->_$`dUniversalSegment(S)``268291
ocoerce`1`n`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``268366
ocoerce`1`n`(Signature)->_$`dMappingAst``268500
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`268569
ocoerce`1`n`(String)->_$`dFortranScalarType``268631
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``268920
ocoerce`1`n`(Symbol)->_$`dTaylorSeries(Coef)``269184
ocoerce`1`n`(Syntax)->S`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``269247
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``269385
ocoerce`1`n`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``269523
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``269600
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``269709
ocoerce`1`n`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``269774
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``269852
ocoerce`1`n`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``269892
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``269981
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``270070
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``270172
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``270261
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``270363
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``270537
ocoerce`1`n`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``270678
ocoerce`1`n`(_$)->DoubleFloat`dSyntax``270885
ocoerce`1`n`(_$)->Fraction(R)`dPartialFraction(R)``270953
ocoerce`1`n`(_$)->Identifier`dSyntax``271055
ocoerce`1`n`(_$)->Integer`dSyntax``271123
ocoerce`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``271194
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``271265
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``271381
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``271509
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``271661
ocoerce`1`n`(_$)->OutputForm`cThreeSpaceCategory(R)``271812
ocoerce`1`n`(_$)->OutputForm`dGraphImage``271897
ocoerce`1`n`(_$)->OutputForm`dTableau(S)``272045
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``272116
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``272298
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``272336
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``272374
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``272412
ocoerce`1`n`(_$)->S`cCoercibleTo(S)``272493
ocoerce`1`n`(_$)->String`dSyntax``272559
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``272628
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``272696
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``272739
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``272796
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``272880
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``272969
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``273055
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``273144
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``273228
ocoerce`1`n`(vl)->_$`cXFreeAlgebra(vl,R)``273312
ocoleman`3`n`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``273354
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`n`(_$)->_$`cTriangularSetCategory(R,E,V,P)``274115
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``274249
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``274399
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``274552
ocolorDef`3`n`(_$,Color,Color)->Void`dThreeDimensionalViewport``274690
ocolorFunction`1`n`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``274999
ocolorFunction`1`n`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``275182
ocolorFunction`1`n`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``275390
ocolor`1`n`(Integer)->_$`dColor``275614
ocolor`1`n`(Point(R))->R`pPointPackage(R)``275684
ocolumn`2`n`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``275997
ocolumn`2`n`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``276123
ocombineWithIf`4`n`(_$,_$,(A,A)->A,(A,A)->Boolean)->_$`dIndexedDirectProductObject(A,S)``276245
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``276477
ocommonDenominator`1`n`(A)->R`pCommonDenominator(R,Q,A)``276572
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``276681
ocommonDenominator`1`n`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``276790
ocommonDenominator`1`n`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``276893
ocommutative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``277000
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``277084
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``277168
ocommutativeOperation`1`n`((T,T)->T)->_$`dCommutativeOperation(T)``277285
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`n`(_$,_$)->_$`cGroup``277415
ocommutator`2`n`(_$,_$)->_$`cNonAssociativeRng``277486
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``277540
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``277782
ocompactFraction`1`n`(_$)->_$`dPartialFraction(R)``277826
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``278027
ocomparison`2`n`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``278191
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``278454
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``278493
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``278809
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``279000
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`279208
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``279339
ocompleteEchelonBasis`1`n`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``279459
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``279854
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``280123
ocompleteHermite`1`n`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``280325
ocompleteSmith`1`n`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``280494
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(NonNegativeInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``280691
ocomplete`1`n`(_$)->_$`cLazyStreamAggregate(S)``280930
ocomplete`1`n`(_$)->_$`cPAdicIntegerCategory(p)``281077
ocomplete`1`n`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``281141
ocomplete`1`n`(_$)->_$`dContinuedFraction(R)``281290
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``281543
ocomplexEigenvalues`2`n`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``281635
ocomplexEigenvectors`2`n`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``281881
ocomplexElementary`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``282247
ocomplexElementary`1`n`(F)->F`pTrigonometricManipulations(R,F)``282392
ocomplexElementary`2`n`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``282537
ocomplexElementary`2`n`(F,Symbol)->F`pTrigonometricManipulations(R,F)``282719
ocomplexExpand`1`n`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``282901
ocomplexExpand`1`n`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``282997
ocomplexForm`1`n`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``283093
ocomplexForm`1`n`(F)->Complex(F)`pTrigonometricManipulations(R,F)``283155
ocomplexIntegrate`2`n`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``283217
ocomplexIntegrate`2`n`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`283340
ocomplexLimit`2`n`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``283463
ocomplexLimit`2`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``283554
ocomplexLimit`2`n`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``283678
ocomplexNormalize`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``283802
ocomplexNormalize`1`n`(F)->F`pTrigonometricManipulations(R,F)``283918
ocomplexNormalize`2`n`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``284034
ocomplexNormalize`2`n`(F,Symbol)->F`pTrigonometricManipulations(R,F)``284172
ocomplexNumericIfCan`1`n`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`284310
ocomplexNumericIfCan`1`n`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`284445
ocomplexNumericIfCan`1`n`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`284580
ocomplexNumericIfCan`1`n`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`284715
ocomplexNumericIfCan`1`n`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`284850
ocomplexNumericIfCan`1`n`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`284983
ocomplexNumericIfCan`2`n`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`285118
ocomplexNumericIfCan`2`n`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`285286
ocomplexNumericIfCan`2`n`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`285454
ocomplexNumericIfCan`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`285622
ocomplexNumericIfCan`2`n`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`285760
ocomplexNumericIfCan`2`n`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`285928
ocomplexNumeric`1`n`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`286096
ocomplexNumeric`1`n`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`286173
ocomplexNumeric`1`n`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`286250
ocomplexNumeric`1`n`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`286327
ocomplexNumeric`1`n`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`286404
ocomplexNumeric`1`n`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`286481
ocomplexNumeric`1`n`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`286558
ocomplexNumeric`1`n`(S)->Complex(Float)`pNumeric(S)``286635
ocomplexNumeric`2`n`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`286712
ocomplexNumeric`2`n`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`286822
ocomplexNumeric`2`n`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`286932
ocomplexNumeric`2`n`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`287042
ocomplexNumeric`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`287152
ocomplexNumeric`2`n`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`287231
ocomplexNumeric`2`n`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`287341
ocomplexNumeric`2`n`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``287451
ocomplexRoots`2`n`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``287561
ocomplexRoots`3`n`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``287743
ocomplexSolve`2`n`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``288055
ocomplexSolve`2`n`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``288293
ocomplexSolve`2`n`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``288513
ocomplexSolve`2`n`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``288739
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``288961
ocomplexZeros`2`n`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``289160
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``289365
ocomplex`2`n`(R,R)->_$`cComplexCategory(R)``289498
ocomponentUpperBound`0`n`()->T`cRGBColorModel(T)``289554
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``289625
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``289945
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``290420
ocomponents`1`n`(_$)->List(_$)`cThreeSpaceCategory(R)``290745
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``290986
ocompose`2`n`(UP,UP)->UP`pPolynomialComposition(UP,R)``291080
ocomposite`1`n`(List(_$))->_$`cThreeSpaceCategory(R)``291121
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`291320
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`291444
ocomposites`1`n`(_$)->List(_$)`cThreeSpaceCategory(R)``291551
ocompound?`1`n`(_$)->Boolean`dSyntax``291900
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``291975
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``292016
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``292205
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``292374
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,P)``292786
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(_$,S)->_$`cExtensibleLinearAggregate(S)``292830
oconcat!`2`n`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`292917
oconcat!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`293068
oconcat!`2`n`(_$,_$)->_$`cExtensibleLinearAggregate(S)``293203
oconcat!`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`293307
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`n`(List(_$))->_$`cLinearAggregate(S)``293470
oconcat`1`n`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``293820
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(S,_$)->_$`cLinearAggregate(S)``293956
oconcat`2`n`(S,_$)->_$`cUnaryRecursiveAggregate(S)``294134
oconcat`2`n`(_$,S)->_$`cLinearAggregate(S)``294372
oconcat`2`n`(_$,_$)->_$`cLinearAggregate(S)``294558
oconcat`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``294928
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`n`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``295108
oconditionP`1`n`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`295321
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``295590
ocondition`1`n`(_$)->SpadAst`dIfAst``295669
ocondition`1`n`(_$)->SpadAst`dWhileAst``295744
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``295820
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`295997
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``296173
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``296350
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`296560
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``296769
oconical`2`n`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``296852
oconjug`1`n`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`297190
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjugate`1`n`(List(PositiveInteger))->List(PositiveInteger)`pPartitionsAndPermutations``297245
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`n`(_$)->_$`cComplexCategory(R)``297318
oconjugate`1`n`(_$)->_$`cOctonionCategory(R)``297393
oconjugate`1`n`(_$)->_$`cQuaternionCategory(R)``297545
oconjugate`1`n`(_$)->_$`dPartition``297624
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`n`(_$,_$)->_$`cGroup``297707
oconjugates`1`n`(Stream(List(PositiveInteger)))->Stream(List(PositiveInteger))`pPartitionsAndPermutations``297807
oconjunction`2`n`(_$,_$)->_$`dPropositionalFormula(T)``297915
oconnectTo`2`n`(Hostname,PortNumber)->Maybe(_$)`dInetClientStreamSocket``0
oconnectTo`2`n`(T,PortNumber)->Maybe(_$)`cNetworkClientSocket(T)``0
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``298015
ocons`2`n`(S,_$)->_$`dList(S)``298293
ocons`2`n`(S,_$)->_$`dStream(S)``298461
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``298606
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``298647
oconst`1`n`(C)->(A)->C`pMappingPackage2(A,C)``298861
oconstant?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``298965
oconstant?`1`n`(_$)->Boolean`dElaboratedExpression``299037
oconstant?`1`n`(_$)->Boolean`dPattern(R)``299106
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``299183
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``299281
oconstantIfCan`1`n`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``299712
oconstantKernel`1`n`(R)->Kernel(S)`pKernelFunctions2(R,S)``299757
oconstantLeft`1`n`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``299803
oconstantOpIfCan`1`n`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``299903
oconstantOperator`1`n`(A)->BasicOperator`pBasicOperatorFunctions1(A)``300049
oconstantRight`1`n`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``300164
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``300265
oconstant`1`n`(()->C)->(A)->C`pMappingPackage2(A,C)``300491
oconstant`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``300578
oconstant`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``300735
oconstant`1`n`(_$)->R`cXFreeAlgebra(vl,R)``300856
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``300921
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``300985
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``301040
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``301176
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(List(S))->_$`cCollection(S)``301279
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``301602
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``301688
oconstruct`1`n`(_$)->Stream(S)`dInfiniteTuple(S)``302036
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``302103
oconstruct`2`n`(Identifier,Signature)->_$`dOperatorSignature``302146
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``302257
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``302358
oconstruct`2`n`(S,T)->_$`dPair(S,T)``302459
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``302550
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``302596
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``302716
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``302836
oconstruct`2`n`(_$,_$)->_$`cLieAlgebra(R)``302937
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``303049
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``303118
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``303187
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``303331
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``303576
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``303782
oconstructor`1`n`(_$)->C`dConstructorCall(C)``304063
oconstructor`1`n`(_$)->CategoryConstructor`dCategory``304151
oconstructor`1`n`(_$)->DomainConstructor`dDomain``304258
ocontains?`2`n`(_$,R)->Boolean`cIntervalCategory(R)``304365
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``304511
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`n`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`304591
ocontent`1`n`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`304674
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`304752
ocontinuedFraction`1`n`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``305035
ocontinuedFraction`1`n`(Fraction(R))->_$`dContinuedFraction(R)``305147
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``305295
ocontinuedFraction`3`n`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``305407
ocontours`1`n`(_$)->List(Contour)`dScope``305633
ocontractSolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``305707
ocontractSolve`2`n`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``305978
ocontract`2`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``306273
ocontract`3`n`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``306372
ocontract`4`n`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``306706
ocontrolPanel`2`n`(_$,String)->Void`dThreeDimensionalViewport``307135
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``307379
oconvergents`1`n`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``307619
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``307803
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`307884
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``308060
oconvert`1`n`(List(_$))->_$`dPattern(R)``308163
oconvert`1`n`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``308238
oconvert`1`n`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``308282
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`308326
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`308406
oconvert`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`308486
oconvert`1`n`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``308566
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`308610
oconvert`1`n`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`n`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->InputForm`xQuaternionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Float)`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Pattern(Integer)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->String`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->_$`cConvertibleFrom(S)``308787
oconvert`1`n`(SExpression)->_$`dInputForm``308852
oconvert`1`n`(SExpression)->_$`dSyntax``308912
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``309126
oconvert`1`n`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``309170
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(UP)->_$`cMonogenicAlgebra(R,UP)``309230
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->_$`cFramedAlgebra(R,UP)``309384
oconvert`1`n`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``309522
oconvert`1`n`(_$)->SExpression`dSyntax``309684
oconvert`1`n`(_$)->S`cConvertibleTo(S)``309769
oconvert`1`n`(_$)->Vector(R)`cFramedAlgebra(R,UP)``309836
oconvert`1`n`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``309946
oconvert`2`n`(OutputForm,Integer)->_$`dTexFormat``310056
oconvert`3`n`(OutputForm,Integer,OutputForm)->_$`dTexFormat``310333
ocoord`1`n`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``310631
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``310763
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``310797
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``310999
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``311212
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``311430
ocoordinates`1`n`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``311644
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``311795
ocoordinates`1`n`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``312008
ocoordinates`1`n`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``312221
ocoordinates`1`n`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``312390
ocoordinates`1`n`(_$)->Vector(K)`dLinearElement(K,B)``312509
ocoordinates`1`n`(_$)->Vector(K)`dLinearForm(K,B)``312619
ocoordinates`1`n`(_$)->Vector(R)`cFramedAlgebra(R,UP)``312736
ocoordinates`1`n`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``312850
ocoordinates`2`n`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``312964
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``313112
ocoordinates`2`n`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``313339
ocoordinates`2`n`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``313542
ocoordinates`2`n`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``313660
ocopies`2`n`(Integer,String)->String`pDisplayPackage``313808
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``313927
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`n`(_$,_$,Integer)->_$`cFiniteLinearAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`314070
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(_$)->_$`cAggregate``314188
ocopy`1`n`(_$)->_$`cIntegerNumberSystem``314352
ocopy`1`n`(_$)->_$`cThreeSpaceCategory(R)``314400
ocopy`1`n`(_$)->_$`dBasicOperator``314493
ocopy`1`n`(_$)->_$`dPattern(R)``314545
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``314605
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``314663
ocorrPoly`7`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``314699
ocos2sec`1`n`(F)->F`pTranscendentalManipulations(R,F)``314755
ocosIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``314853
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``314940
ocos`1`n`(E)->_$`dFourierComponent(E)``315172
ocos`1`n`(F)->F`pElementaryFunction(R,F)``315238
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)``315299
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``315366
ocos`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``315433
ocos`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``315501
ocos`1`n`(_$)->_$`cTrigonometricFunctionCategory``315571
ocosh2sech`1`n`(F)->F`pTranscendentalManipulations(R,F)``315624
ocoshIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``315726
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``315815
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)``315888
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``315971
ocosh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``316054
ocosh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``316134
ocosh`1`n`(_$)->_$`cHyperbolicFunctionCategory``316216
ocot2tan`1`n`(F)->F`pTranscendentalManipulations(R,F)``316281
ocot2trig`1`n`(F)->F`pTranscendentalManipulations(R,F)``316379
ocotIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``316483
ocot`1`n`(F)->F`pElementaryFunction(R,F)``316570
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)``316634
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``316704
ocot`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``316774
ocot`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``316845
ocot`1`n`(_$)->_$`cTrigonometricFunctionCategory``316918
ocoth2tanh`1`n`(F)->F`pTranscendentalManipulations(R,F)``316974
ocoth2trigh`1`n`(F)->F`pTranscendentalManipulations(R,F)``317076
ocothIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``317185
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``317274
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)``317350
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``317436
ocoth`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``317522
ocoth`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``317605
ocoth`1`n`(_$)->_$`cHyperbolicFunctionCategory``317690
ocountRealRootsMultiple`1`n`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`317758
ocountRealRoots`1`n`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``317865
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,_$)->NonNegativeInteger`cFiniteAggregate(S)``317935
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(S,_$)->NonNegativeInteger`cFiniteAggregate(S)`has(S,BasicType)`318193
ocountable?`1`n`(_$)->Boolean`dCardinalNumber``318381
ocreate3Space`0`n`()->_$`cThreeSpaceCategory(R)``318519
ocreate3Space`1`n`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``318661
ocreateGenericMatrix`1`n`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``318803
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``319000
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``319154
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``319508
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``319716
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``319836
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`320129
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``320400
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``320527
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`n`()->_$`cFiniteFieldCategory``320743
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``320854
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``321052
ocreateRandomElement`2`n`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``321185
ocreateThreeSpace`0`n`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``321294
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``321453
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``321889
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``321925
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``321967
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``322001
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``322038
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``322077
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``322111
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``322149
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``322183
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``322222
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`n`(_$,_$)->_$`cPointCategory(R)``322442
ocross`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`322592
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``322742
ocsc2sin`1`n`(F)->F`pTranscendentalManipulations(R,F)``322956
ocscIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``323054
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``323141
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)``323204
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``323273
ocsc`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``323342
ocsc`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``323412
ocsc`1`n`(_$)->_$`cTrigonometricFunctionCategory``323484
ocsch2sinh`1`n`(F)->F`pTranscendentalManipulations(R,F)``323539
ocschIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``323641
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``323730
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)``323805
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``323890
ocsch`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``323975
ocsch`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``324057
ocsch`1`n`(_$)->_$`cHyperbolicFunctionCategory``324141
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``324208
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``324259
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``324296
ocup`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``324339
ocurrentCategoryFrame`0`n`()->_$`dScope``324530
ocurrentEnv`0`n`()->_$`dEnvironment``324615
ocurrentScope`0`n`()->_$`dScope``324664
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``324731
ocurryLeft`2`n`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``324824
ocurryRight`2`n`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``324923
ocurry`2`n`((A)->C,A)->()->C`pMappingPackage2(A,C)``325023
ocurve?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``325112
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``325337
ocurveColor`1`n`(Float)->_$`dDrawOption``325563
ocurveColor`1`n`(Palette)->_$`dDrawOption``325706
ocurve`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``325876
ocurve`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``326066
ocurve`2`n`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``326305
ocurve`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``326406
ocurve`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``326754
ocurve`3`n`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``326919
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``327039
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``327186
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`n`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``327322
ocyclePartition`1`n`(_$)->Partition`dPermutation(S)``327462
ocycleRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``327605
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`327824
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``328230
ocycle`1`n`(List(S))->_$`cPermutationCategory(S)``328320
ocycles`1`n`(List(List(S)))->_$`cPermutationCategory(S)``328547
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(_$)->Boolean`cRecursiveAggregate(S)``328877
ocyclic?`1`n`(_$)->Boolean`dTree(S)``328933
ocyclicCopy`1`n`(_$)->_$`dTree(S)``328994
ocyclicEntries`1`n`(_$)->List(_$)`dTree(S)``329073
ocyclicEqual?`2`n`(_$,_$)->Boolean`dTree(S)``329157
ocyclicGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``329243
ocyclicGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``329424
ocyclicParents`1`n`(_$)->List(_$)`dTree(S)``329542
ocyclicSubmodule`2`n`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`329628
ocyclic`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``330258
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``330354
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``330411
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``330468
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``330512
ocyclotomic`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``330716
ocylindrical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``330760
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``330991
odark`1`n`(Color)->_$`dPalette``331411
odatalist`1`n`(List(S))->_$`dDataList(S)``331503
oddFact`2`n`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``331562
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``331851
odebug`1`n`(Boolean)->Boolean`dPlot``331944
odec`1`n`(_$)->_$`cIntegerNumberSystem``332031
odecimal`1`n`(Fraction(Integer))->_$`dDecimalExpansion``332074
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``332150
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``332274
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``332392
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``332493
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``332604
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``332748
odeclare`1`n`(List(_$))->Symbol`dInputForm``332891
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``333240
odecompose`1`n`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``333475
odecompose`1`n`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``333517
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``333599
odecompose`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``333951
odecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`n`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`n`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`n`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`333997
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``334137
odeepExpand`1`n`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``334177
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``334221
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``334400
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``334703
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``335175
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``335318
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``335459
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`n`()->UP`cMonogenicAlgebra(R,UP)``335553
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`335655
odefiningPolynomial`1`n`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``335798
odefiningPolynomial`1`n`(_$)->_$`cExpressionSpace`has(_$,Ring)`335912
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``336006
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``336171
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``336459
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``336656
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(_$)->E`cAbelianMonoidRing(R,E)``336776
odegree`1`n`(_$)->E`cGradedModule(R,E)``336863
odegree`1`n`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``336984
odegree`1`n`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``337067
odegree`1`n`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``337208
odegree`1`n`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``337335
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``337423
odegree`1`n`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``337461
odegree`1`n`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``337567
odegree`1`n`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``337664
odegree`1`n`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``337756
odegree`1`n`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``337853
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``337969
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``338037
odegree`1`n`(_$)->NonNegativeInteger`dPermutation(S)``338199
odegree`1`n`(_$)->NonNegativeInteger`dPermutationGroup(S)``338286
odegree`1`n`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``338389
odegree`1`n`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``338578
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``338702
odegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``338808
odegree`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``338945
odegree`2`n`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``339125
odelay`1`n`(()->_$)->_$`dStream(S)``339230
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`n`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``339383
odelete!`2`n`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``339476
odeleteProperty!`2`n`(_$,Identifier)->_$`dBasicOperator``339582
odeleteProperty!`2`n`(_$,String)->_$`dBasicOperator``339744
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(_$,Integer)->_$`cLinearAggregate(S)``339906
odelete`2`n`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``340106
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``340325
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``340467
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``340695
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``340891
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``341207
odenom`1`n`(_$)->S`cQuotientFieldCategory(S)``341264
odenom`1`n`(_$)->S`dLocalAlgebra(A,R,S)``341337
odenom`1`n`(_$)->S`dLocalize(M,R,S)``341396
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``341455
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``341567
odenom`1`n`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`341679
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`n`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`341791
odenominator`1`n`(_$)->_$`cQuotientFieldCategory(S)``341873
odenominators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``341963
odepth`1`n`(_$)->NonNegativeInteger`cStackAggregate(S)``342165
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``342275
odequeue!`1`n`(_$)->S`cQueueAggregate(S)``342337
odequeue`0`n`()->_$`cDequeueAggregate(S)``342529
odequeue`1`n`(List(S))->_$`cDequeueAggregate(S)``342606
odequeue`1`n`(List(S))->_$`dDequeue(S)``342781
oderef`1`n`(_$)->S`dReference(S)``342956
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``343021
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`n`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`343199
oderivative`1`n`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``343285
oderivative`2`n`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``343411
oderivative`2`n`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``343661
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``343967
odestruct`1`n`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``344086
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``344163
odeterminant`1`n`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``344298
odeterminant`1`n`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`344433
odeterminant`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`344546
odiag`1`n`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``344623
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``344715
odiagonal?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``344909
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(R))->_$`cMatrixCategory(R,Row,Col)``345103
odiagonalMatrix`1`n`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``345208
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(_$))->_$`cMatrixCategory(R,Row,Col)``345313
odiagonalMatrix`1`n`(Vector(R))->_$`dMatrix(R)``345810
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``345923
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``346031
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`n`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``346140
odiagonals`2`n`(_$,String)->Void`dThreeDimensionalViewport``346247
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`n`()->_$`cDictionaryOperations(S)``346588
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`n`(List(S))->_$`cDictionaryOperations(S)``346671
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``346798
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`n`(_$,S)->_$`cSetAggregate(S)``346869
odifference`2`n`(_$,_$)->_$`cSetAggregate(S)``347123
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`n`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``347534
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialSpace&(S)``0
odifferentiate`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`n`(_$)->T`cDifferentialDomain(T)``347668
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(S))->A`xPartialDifferentialSpace&(A,S)``0
odifferentiate`2`n`(A,List(Symbol))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,List(Symbol))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(V))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,S)->A`xPartialDifferentialSpace&(A,S)``0
odifferentiate`2`n`(A,Symbol)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,Symbol)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,(R)->R)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,(R)->R)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,(R)->R)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,(UP)->UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(SingletonAsOrderedSet))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,List(Symbol))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialSpace&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFiniteFieldCategory&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xIntegerNumberSystem&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,Symbol)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,Symbol)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``347734
odifferentiate`2`n`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``347834
odifferentiate`2`n`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``347954
odifferentiate`2`n`(_$,List(S))->_$`cPartialDifferentialSpace(S)``348062
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`cDifferentialSpace``348219
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``348307
odifferentiate`2`n`(_$,S)->T`cPartialDifferentialDomain(T,S)``348481
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`348584
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialSpace&(A,S)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(V),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialSpace&(A,S)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,V,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(S,(Fraction(UP))->Fraction(UP),NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionSpace&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionSpace&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``348668
odifferentiate`3`n`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``348809
odifferentiate`3`n`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``348978
odifferentiate`3`n`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``349092
odigamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``349254
odigamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``349376
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``349498
odigamma`1`n`(_$)->_$`cSpecialFunctionCategory``349572
odigit?`1`n`(_$)->Boolean`dCharacter``349695
odigit`0`n`()->_$`dCharacterClass``349792
odigits`0`n`()->PositiveInteger`cFloatingPointSystem``349908
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``349978
odigits`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`350048
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``350145
odigits`1`n`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``350242
odihedralGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``350320
odihedralGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``350506
odihedral`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``350618
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``350718
odilog`1`n`(_$)->_$`cLiouvillianFunctionCategory``350765
odim`1`n`(Color)->_$`dPalette``350889
odimensionOfIrreducibleRepresentation`1`n`(List(PositiveInteger))->NonNegativeInteger`pIrrRepSymNatPackage``350981
odimension`0`n`()->CardinalNumber`cVectorSpace(S)``351209
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`n`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``351283
odimension`1`n`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``351341
odimension`1`n`(_$)->PositiveInteger`cPointCategory(R)``351492
odimension`2`n`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``351573
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``351677
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``351742
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``352194
odioSolve`1`n`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``352642
odiophantineSystem`2`n`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``352819
odirectProduct`1`n`(Vector(R))->_$`cDirectProductCategory(dim,R)``352946
odirectSum`2`n`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`353090
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``353284
odirection`1`n`(String)->Integer`pToolsForSign(R)``353515
odirectory`1`n`(_$)->String`cFileNameCategory``353556
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`n`(_$)->NonNegativeInteger`cFiniteFieldCategory``353628
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`n`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``353757
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``353855
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``354021
odiscriminant`0`n`()->R`cFramedAlgebra(R,UP)``354165
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``354224
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``354283
odiscriminant`1`n`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`354375
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``354458
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`354575
odisjunction`2`n`(_$,_$)->_$`dPropositionalFormula(T)``354697
odisplay`1`n`(String)->Void`dMathMLFormat``354797
odisplay`1`n`(_$)->Maybe((List(OutputForm))->OutputForm)`dBasicOperator``354868
odisplay`1`n`(_$)->Void`dDatabase(S)``354996
odisplay`1`n`(_$)->Void`dIndexCard``355081
odisplay`1`n`(_$)->Void`dTexFormat``355175
odisplay`2`n`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``355359
odisplay`2`n`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``355576
odisplay`2`n`(_$,Integer)->Void`dTexFormat``355811
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:Integer))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``355957
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(_$,_$)->Integer`cRecursiveAggregate(S)``356480
odistdfact`2`n`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``356577
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`n`(_$)->_$`cExpressionSpace``356799
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`n`(_$,_$)->_$`cExpressionSpace``356982
odiv`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``357215
odiv`2`n`(_$,_$)->_$`dOutputForm``357454
odivideExponents`2`n`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``357511
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``357743
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``358076
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``358215
odivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``358447
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`cFreeMonoidCategory(S)``358530
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``358751
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``358894
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``359262
odivisor`1`n`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``359710
odivisor`1`n`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``359784
odivisor`2`n`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``359855
odivisor`3`n`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``359959
odivisor`5`n`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``360124
odivisors`1`n`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``360435
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``360505
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``360565
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``360625
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``360685
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``360774
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``360860
odom`1`n`(_$)->SExpression`dAny``360949
odomainTemplate`1`n`(_$)->DomainTemplate`dFunctorData``361075
odomain`0`n`()->_$`dConstructorKind``361184
odominantTerm`1`n`(_$)->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)``361235
odot`1`n`(_$)->_$`dOutputForm``361644
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``361707
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``361887
odot`2`n`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`361965
odot`2`n`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`362053
odouble?`1`n`(_$)->Boolean`dFortranScalarType``362205
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``362304
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``362424
odoubleFloatFormat`1`n`(String)->String`dOutputForm``362466
odoubleRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``362541
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``362701
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``362889
odoublyTransitive?`1`n`(UP)->Boolean`pAlgFactor(UP)``362973
odrawComplexVectorField`3`n`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``363196
odrawComplex`4`n`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``363934
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``364773
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``364991
odrawStyle`2`n`(_$,String)->Void`dThreeDimensionalViewport``365395
odrawToScale`0`n`()->Boolean`pGraphicsDefaults``365790
odrawToScale`1`n`(Boolean)->Boolean`pGraphicsDefaults``365876
odraw`1`n`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``366073
odraw`2`n`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``366159
odraw`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``366281
odraw`2`n`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``366419
odraw`2`n`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``366586
odraw`2`n`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``366725
odraw`2`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``366901
odraw`2`n`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``367063
odraw`2`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``367280
odraw`2`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``367456
odraw`3`n`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``367695
odraw`3`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``367907
odraw`3`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``368133
odraw`3`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``368322
odraw`3`n`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``368617
odraw`3`n`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``368876
odraw`3`n`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``369118
odraw`3`n`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``369310
odraw`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``369539
odraw`3`n`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``369791
odraw`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``370100
odraw`3`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``370364
odraw`3`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``370699
odraw`3`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``370966
odraw`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``371290
odraw`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``371573
odraw`4`n`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``371869
odraw`4`n`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``372057
odraw`4`n`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``372391
odraw`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``372635
odraw`4`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``373000
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``373430
odualSignature`1`n`(S)->List(Boolean)`xConstructorCategory&(S)``0
odualSignature`1`n`(_$)->List(Boolean)`cConstructorCategory``373488
odual`1`n`(DualBasis(vars))->_$`dLinearBasis(vars)``373787
odual`1`n`(LinearBasis(vars))->_$`dDualBasis(vars)``373878
odual`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`pPropositionalFormulaFunctions1(T)``373972
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``374039
oduplicates`1`n`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``374120
oe`1`n`(PositiveInteger)->_$`dCliffordAlgebra(n,K,Q)``374207
oeigenMatrix`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``374265
oeigenvalues`1`n`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``374410
oeigenvector`2`n`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``374557
oeigenvectors`1`n`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``374685
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``375046
oelColumn2!`4`n`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``375208
oelRow1!`3`n`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``375350
oelRow2!`4`n`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``375468
oelaborateFile`1`n`(String)->List(Maybe(Elaboration))`pCompilerPackage``0
oelaborate`1`n`(SpadAst)->Maybe(Elaboration)`pCompilerPackage``375601
oelaboration`3`n`(InternalRepresentationForm,InternalTypeForm,Environment)->_$`dElaboration``375709
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``375883
oelement?`2`n`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``375960
oelementary`1`n`(NonNegativeInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``376057
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``376181
oelements`1`n`(_$)->List(SpadAst)`dConstructAst``376273
oellipticCylindrical`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``376358
oelliptic`0`n`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``376629
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``376756
oelliptic`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``376883
oelseBranch`1`n`(_$)->SpadAst`dIfAst``377106
oelt`1`n`(_$)->R`dCartesianTensor(minix,dim,R)``377168
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`cExpressionSpace``377229
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``377369
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,_$)->_$`cExpressionSpace``377434
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`377531
oelt`2`n`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`377666
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`xKeyedDictionary&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`n`(_$,"count")->NonNegativeInteger`dDataList(S)``377814
oelt`2`n`(_$,"first")->S`cUnaryRecursiveAggregate(S)``377898
oelt`2`n`(_$,"last")->S`cUnaryRecursiveAggregate(S)``378001
oelt`2`n`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``378101
oelt`2`n`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``378196
oelt`2`n`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``378303
oelt`2`n`(_$,"sort")->_$`dDataList(S)``378401
oelt`2`n`(_$,"unique")->_$`dDataList(S)``378522
oelt`2`n`(_$,"value")->S`cRecursiveAggregate(S)``378663
oelt`2`n`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``378760
oelt`2`n`(_$,List(OutputForm))->_$`dSymbol``378838
oelt`2`n`(_$,List(_$))->_$`dOutputForm``378959
oelt`2`n`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``379058
oelt`2`n`(_$,QueryEquation)->_$`dDatabase(S)``379139
oelt`2`n`(_$,S)->T`cEltable(S,T)``379237
oelt`2`n`(_$,Symbol)->DataList(String)`dDatabase(S)``379377
oelt`2`n`(_$,Symbol)->String`dIndexCard``379474
oelt`2`n`(_$,_$)->_$`cStringAggregate``379672
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
oelt`3`n`(BasicOperator,_$,_$)->_$`cExpressionSpace``379887
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xKeyedDictionary&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``380012
oelt`3`n`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``380381
oelt`3`n`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``380521
oelt`3`n`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``380642
oelt`3`n`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``380771
oelt`3`n`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``380933
oelt`3`n`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``381101
oelt`3`n`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``381164
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``381506
oelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``381658
oelt`4`n`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``381723
oelt`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``381933
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`n`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``382141
oelt`5`n`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``382317
oempty?`1`n`(A)->Boolean`xFiniteAggregate&(A,S)``0
oempty?`1`n`(_$)->Boolean`cAggregate``382384
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``382442
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``382566
oempty`0`n`()->_$`cAggregate``382664
oempty`0`n`()->_$`dEnvironment``382864
oempty`0`n`()->_$`dOutputForm``382918
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``382963
oempty`0`n`()->_$`dScope``383023
oempty`0`n`()->_$`dSplittingNode(V,C)``383069
oempty`0`n`()->_$`dSymbolTable``383179
oempty`0`n`()->_$`dTheSymbolTable``383237
oencodingDirectory`1`n`(_$)->PrimitiveArray(NonNegativeInteger)`dFunctorData``383296
oendOfFile?`1`n`(_$)->Boolean`dTextFile``383387
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``383560
oenqueue!`2`n`(S,_$)->S`cQueueAggregate(S)``383655
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``383741
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``383934
oenterPointData`2`n`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``384178
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`n`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``384377
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`n`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,FiniteAggregate(Entry)),has(Entry,BasicType))`384479
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``384583
oenvironment`1`n`(_$)->Environment`dElaboration``384679
oeof?`1`n`(_$)->Boolean`dInputBinaryFile``384761
oepilogue`1`n`(_$)->List(String)`dTexFormat``384833
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`n`(_$,_$)->Boolean`cAggregate``384913
oeq`2`n`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``384985
oeq`2`n`(_$,_$)->Boolean`dRuntimeValue``385082
oequality`2`n`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``385186
oequation`2`n`(S,S)->_$`dEquation(S)``385486
oequation`2`n`(Symbol,S)->_$`dRangeBinding(S,T)``385535
oequation`2`n`(Symbol,Segment(S))->_$`dSegmentBinding(S)``0
oequation`2`n`(Symbol,String)->_$`dQueryEquation``385698
oequiv`2`n`(_$,_$)->_$`cPropositionalLogic``385752
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``385824
oerf`1`n`(_$)->_$`cLiouvillianFunctionCategory``385872
oerror`1`n`(List(String))->Exit`pErrorFunctions``386019
oerror`1`n`(String)->Exit`pErrorFunctions``386096
oerror`2`n`(String,List(String))->Exit`pErrorFunctions``386171
oerror`2`n`(String,String)->Exit`pErrorFunctions``386339
oescape`0`n`()->_$`dCharacter``386504
oeuclideanGroebner`1`n`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``386557
oeuclideanGroebner`2`n`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``386714
oeuclideanGroebner`3`n`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``387047
oeuclideanNormalForm`2`n`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``387350
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`n`(_$)->NonNegativeInteger`cEuclideanDomain``387532
oeulerE`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`387643
oeulerPhi`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``387683
oeuler`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``387900
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``388047
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`n`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``388348
oeval`1`n`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`388418
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``388487
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``388712
oeval`2`n`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``388830
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``389071
oeval`2`n`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(**,Coef(Coef,Expon)))`389215
oeval`2`n`(_$,Equation(R))->_$`cEvalable(R)``389333
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``389404
oeval`2`n`(_$,List(Equation(R)))->_$`cEvalable(R)``389544
oeval`2`n`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`389634
oeval`2`n`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`389717
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``389817
oeval`2`n`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`389957
oeval`2`n`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`390020
oeval`3`n`(A,A,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(A),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,List(V),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(V),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,S)->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,V,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,V,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``390103
oeval`3`n`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``390306
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)``390387
oeval`3`n`(_$,A,B)->_$`cInnerEvalable(A,B)``390460
oeval`3`n`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``390531
oeval`3`n`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``390664
oeval`3`n`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``390764
oeval`3`n`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``390857
oeval`3`n`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``391014
oeval`3`n`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``391136
oeval`3`n`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``391293
oeval`3`n`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``391415
oeval`3`n`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``391566
oeval`3`n`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``391699
oeval`3`n`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``391799
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`391920
oeval`4`n`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`392058
oeval`4`n`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`392218
oeval`4`n`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`392385
oeval`4`n`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`392524
oeval`4`n`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`392658
oevaluateInverse`2`n`(_$,(M)->M)->_$`dModuleOperator(R,M)``392764
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`1`n`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``392813
oevaluate`2`n`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``392937
oevaluate`2`n`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``393169
oevaluate`2`n`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``393392
oevaluate`2`n`(_$,(M)->M)->_$`dModuleOperator(R,M)``393564
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`n`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`393889
oeven?`1`n`(_$)->Boolean`cIntegerNumberSystem``393958
oeven?`1`n`(_$)->Boolean`dPermutation(S)``394034
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``394165
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``394309
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``394453
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``394597
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``394741
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``395066
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xFiniteAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,_$)->Boolean`cFiniteAggregate(S)``395444
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``395675
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``395714
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``395753
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`395792
oexactQuotient!`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`395916
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`396018
oexactQuotient`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`396244
oexists?`1`n`(_$)->Boolean`cFileNameCategory``396449
oexp1`0`n`()->_$`dDoubleFloat``396519
oexp1`0`n`()->_$`dFloat``396592
oexpIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``396652
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``396739
oexp`1`n`(F)->F`pElementaryFunction(R,F)``397193
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``397259
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``397333
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``397404
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``397480
oexp`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``397556
oexp`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``397629
oexp`1`n`(_$)->_$`cElementaryFunctionCategory``397704
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``397767
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`397889
oexpandLog`1`n`(F)->F`pTranscendentalManipulations(R,F)``398015
oexpandPower`1`n`(F)->F`pTranscendentalManipulations(R,F)``398182
oexpandTrigProducts`1`n`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`398298
oexpand`1`n`(F)->F`pTranscendentalManipulations(R,F)``398740
oexpand`1`n`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``399143
oexpand`1`n`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``399238
oexpand`1`n`(List(_$))->L`cSegmentExpansionCategory(S,L)``399333
oexpand`1`n`(_$)->L`cSegmentExpansionCategory(S,L)``399565
oexpand`1`n`(_$)->R`dFactored(R)``399744
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``399957
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``400019
oexpextendedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``400061
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``400418
oexpintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``400508
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``400723
oexplicitEntries?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``400908
oexplicitlyEmpty?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``401048
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(_$)->Boolean`cStreamAggregate(S)``401213
oexplimitedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``401430
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``401797
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``401934
oexponent`1`n`(_$)->Integer`cFloatingPointSystem``401974
oexponent`1`n`(_$)->Integer`dFactored(R)``402074
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``402219
oexponential1`0`n`()->Float`pRandomFloatDistributions``402273
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``402316
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``402429
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``402472
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``402608
oexportedOperators`1`n`(_$)->List(OperatorSignature)`dCategory``402769
oexprToGenUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``402909
oexprToUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``405004
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``407086
oexpr`1`n`(_$)->Expr`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``407392
oexpressIdealMember`2`n`(List(S),S)->Maybe(List(S))`xEuclideanDomain&(S)``0
oexpressIdealMember`2`n`(List(_$),_$)->Maybe(List(_$))`cPrincipalIdealDomain``407515
oexpression`1`n`(_$)->SpadAst`dCoerceAst``407719
oexpression`1`n`(_$)->SpadAst`dExitAst``407787
oexpression`1`n`(_$)->SpadAst`dPretendAst``407851
oexpression`1`n`(_$)->SpadAst`dQuasiquoteAst``407919
oexpression`1`n`(_$)->SpadAst`dRestrictAst``407999
oexpression`1`n`(_$)->SpadAst`dReturnAst``408067
oexprex`1`n`(OutputForm)->String`dMathMLFormat``408135
oexptMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``408539
oexptMod`4`n`(U,Integer,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``408655
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``408807
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``408867
oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``409002
oexquo`2`n`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`409109
oexquo`2`n`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,IntegralDomain)`409247
oexquo`2`n`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`409365
oexquo`2`n`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`409513
oexquo`2`n`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`409661
oexquo`2`n`(_$,_$)->Union(_$,"failed")`cIntegralDomain``409786
oexquo`2`n`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``409914
oexquo`2`n`(_$,_$)->_$`dOutputForm``410054
oextendIfCan`2`n`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``410114
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``410699
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``410794
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``410949
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``411042
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``411336
oextend`2`n`(_$,Integer)->_$`cLazyStreamAggregate(S)``411429
oextend`2`n`(_$,Integer)->_$`cPAdicIntegerCategory(p)``411649
oextend`2`n`(_$,Integer)->_$`dContinuedFraction(R)``411730
oextend`2`n`(_$,List(R))->_$`cPointCategory(R)``411907
oextend`2`n`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``411949
oextend`2`n`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``412042
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``412351
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`n`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``412720
oextendedIntegrate`3`n`(Fraction(Polynomial(F)),Symbol,Fraction(Polynomial(F)))->Union(Record(ratpart:Fraction(Polynomial(F)),coeff:Fraction(Polynomial(F))),"failed")`pRationalFunctionIntegration(F)``412928
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`413103
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`413311
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`413519
oextendedint`2`n`(Fraction(UP),Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pRationalIntegration(F,UP)``413760
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``413920
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``414061
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``414132
oextension`1`n`(_$)->String`cFileNameCategory``414203
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``414270
oexternal?`1`n`(_$)->Boolean`dFortranType``414417
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``414503
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`n`(_$)->S`cBagAggregate(S)``414592
oextractBottom!`1`n`(_$)->S`cDequeueAggregate(S)``414675
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``414812
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``415046
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``415133
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``415261
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``415420
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``415571
oextractTop!`1`n`(_$)->S`cDequeueAggregate(S)``415715
oeyeDistance`2`n`(_$,Float)->Void`dThreeDimensionalViewport``415847
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`416045
ofactorAndSplit`1`n`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`416153
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``416330
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``416558
ofactorFraction`1`n`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``416786
ofactorGroebnerBasis`1`n`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``416897
ofactorGroebnerBasis`2`n`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``417043
ofactorList`1`n`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``417281
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``417377
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``417425
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``417559
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``417642
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``417823
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``417960
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``418194
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``418541
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`418658
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``418708
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``418958
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``419208
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``419490
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``419772
ofactorSquareFree`1`n`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``419968
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``420078
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``420190
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``420334
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``420429
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``420716
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``420959
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``421295
ofactor`1`n`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``421603
ofactor`1`n`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``421698
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``421786
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`421861
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``421917
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``422005
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``422102
ofactor`1`n`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``422234
ofactor`1`n`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``422331
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``422452
ofactor`1`n`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``422527
ofactor`1`n`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``422613
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``422697
ofactor`1`n`(S)->Factored(S)`xField&(S)``0
ofactor`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
ofactor`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ofactor`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
ofactor`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``422788
ofactor`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``422923
ofactor`1`n`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``423108
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``423332
ofactor`1`n`(UP)->Factored(UP)`pAlgFactor(UP)``423394
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``423506
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``423815
ofactor`1`n`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``423896
ofactor`1`n`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``423963
ofactor`1`n`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``424030
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``424097
ofactor`1`n`(_$)->Factored(_$)`cUniqueFactorizationDomain``424159
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``424240
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``424362
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``424469
ofactor`2`n`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``424622
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``424766
ofactor`2`n`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``425002
ofactor`2`n`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``425227
ofactor`2`n`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``425412
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``425562
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``425764
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``425922
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``426159
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``426410
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``426633
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``426944
ofactorial`1`n`(I)->I`pIntegerCombinatoricFunctions(I)``427030
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`n`(_$)->_$`cCombinatorialFunctionCategory``427184
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``427349
ofactorials`1`n`(_$)->_$`cCombinatorialOpsCategory``427453
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``427557
ofactorials`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``427683
ofactorsOfCyclicGroupSize`0`n`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``427809
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``427895
ofactors`1`n`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``428006
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``428306
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`cFreeMonoidCategory(S)``428387
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``428468
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``428547
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``428609
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``428671
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``428718
ofalse`0`n`()->_$`cPropositionalLogic``428765
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``428808
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``428896
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``429058
ofibonacci`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``429243
ofigureUnits`1`n`(List(List(Point(DoubleFloat))))->List(DoubleFloat)`dGraphImage``0
ofilename`3`n`(String,String,String)->_$`cFileNameCategory``429557
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,ShallowlyMutableAggregate(Entry))`429806
ofill!`2`n`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``429930
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``429986
ofilterUntil`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``430045
ofilterUntil`2`n`((S)->Boolean,_$)->_$`dStream(S)``430122
ofilterWhile`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``430282
ofilterWhile`2`n`((S)->Boolean,_$)->_$`dStream(S)``430355
ofindBinding`2`n`(Identifier,_$)->Maybe(Binding)`dContour``430518
ofindBinding`2`n`(Identifier,_$)->Maybe(Binding)`dScope``430616
ofindConstructor`1`n`(Identifier)->Maybe(_$)`dConstructor``430709
ofindCycle`2`n`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``430869
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xFiniteAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,_$)->Union(S,"failed")`cFiniteAggregate(S)``430952
ofinite?`1`n`(_$)->Boolean`dCardinalNumber``431086
ofinite?`1`n`(_$)->Boolean`dOnePointCompletion(R)``431200
ofinite?`1`n`(_$)->Boolean`dOrderedCompletion(R)``431254
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``431308
ofintegrate`3`n`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`431395
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`431603
ofirstDenom`1`n`(_$)->Factored(R)`dPartialFraction(R)``431811
ofirstNumer`1`n`(_$)->R`dPartialFraction(R)``432010
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``432207
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``432323
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xStreamAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`432629
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``432820
ofirst`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``432894
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``433004
ofirst`1`n`(_$)->S`dPair(S,T)``433065
ofirst`1`n`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``433125
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``433281
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``433366
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``433474
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``433562
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``433809
ofixedPoint`1`n`((A)->A)->A`pMappingPackage1(A)``433930
ofixedPoint`2`n`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``434079
ofixedPoints`1`n`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`434234
oflagFactor`3`n`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``434317
oflatten`1`n`(_$)->_$`dInputForm``434496
oflexible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``434736
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``434942
oflexibleArray`1`n`(List(S))->_$`dFlexibleArray(S)``0
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``435148
ofloat?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``435239
ofloat`1`n`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``435320
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`n`(Integer,Integer)->_$`cFloatingPointSystem``435442
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`n`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``435499
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`435553
ofloor`1`n`(_$)->_$`cRealNumberSystem``435629
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`435692
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``435780
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``435952
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``436040
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
oformfeed`0`n`()->_$`dCharacter``436128
ofortranCharacter`0`n`()->_$`dFortranType``436187
ofortranComplex`0`n`()->_$`dFortranType``436267
ofortranDoubleComplex`0`n`()->_$`dFortranType``436343
ofortranDouble`0`n`()->_$`dFortranType``436432
ofortranInteger`0`n`()->_$`dFortranType``436516
ofortranLogical`0`n`()->_$`dFortranType``436592
ofortranReal`0`n`()->_$`dFortranType``436668
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``436738
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``436816
ofracPart`1`n`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``436855
ofractRadix`2`n`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``436946
ofractRagits`1`n`(_$)->Stream(Integer)`dRadixExpansion(bb)``437151
ofractionFreeGauss!`1`n`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`437245
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`n`(_$)->Fraction(Integer)`dBinaryExpansion``437352
ofractionPart`1`n`(_$)->Fraction(Integer)`dDecimalExpansion``437433
ofractionPart`1`n`(_$)->Fraction(Integer)`dHexadecimalExpansion``437515
ofractionPart`1`n`(_$)->Fraction(Integer)`dRadixExpansion(bb)``437601
ofractionPart`1`n`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`437682
ofractionPart`1`n`(_$)->_$`cRealNumberSystem``437809
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(_$,Symbol)->Boolean`cExpressionSpace``437879
ofreeOf?`2`n`(_$,_$)->Boolean`cExpressionSpace``437979
ofrobenius`1`n`(_$)->_$`dModMonic(R,P)`has(R,FiniteFieldCategory)`438107
ofront`1`n`(_$)->S`cQueueAggregate(S)``438148
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`438298
ofrst`1`n`(_$)->S`cLazyStreamAggregate(S)``438389
ofullDisplay`1`n`(_$)->Void`dDatabase(S)``438571
ofullDisplay`1`n`(_$)->Void`dIndexCard``438657
ofullDisplay`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``438749
ofullPartialFraction`1`n`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``438882
ofunction`2`n`(S,Symbol)->Symbol`pMakeFunction(S)``439039
ofunction`3`n`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``439108
ofunction`3`n`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``439199
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``439272
ofunction`4`n`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``439386
ofunctorData`1`n`(_$)->FunctorData`dDomainConstructor``439464
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``439566
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``439601
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialFactorizationExplicit&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``439675
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``439777
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``439865
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``439966
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``440067
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``440133
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``440210
ogcd`1`n`(List(_$))->_$`cGcdDomain``440287
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``440369
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`440455
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``440568
ogcd`2`n`(_$,_$)->_$`cGcdDomain``440654
ogcd`2`n`(_$,_$)->_$`dNonNegativeInteger``440739
ogcd`2`n`(_$,_$)->_$`dPositiveInteger``440851
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`440959
ogcd`3`n`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``441058
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``441191
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``441282
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``441376
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``441461
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``441544
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``441702
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``441860
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``442018
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``442176
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``442375
ogeneralPosition`2`n`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``442600
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``442788
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``442944
ogeneralizedContinuumHypothesisAssumed?`0`n`()->Boolean`dCardinalNumber``443093
ogeneralizedContinuumHypothesisAssumed`1`n`(Boolean)->Boolean`dCardinalNumber``443194
ogeneralizedEigenvector`2`n`(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``443312
ogeneralizedEigenvector`4`n`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``443494
ogeneralizedEigenvectors`1`n`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``443889
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``443991
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``444221
ogenerate`1`n`(()->S)->_$`dStream(S)``444355
ogenerate`2`n`((S)->S,S)->_$`dInfiniteTuple(S)``444501
ogenerate`2`n`((S)->S,S)->_$`dStream(S)``444566
ogenerate`2`n`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``444793
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`445104
ogenerator`0`n`()->_$`cMonogenicAlgebra(R,UP)``445243
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``445308
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``445400
ogenerator`1`n`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``445486
ogenerator`1`n`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``445550
ogenerators`1`n`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``445654
ogenerators`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``445735
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``445810
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`445885
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`446219
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`446364
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`446637
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`446782
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``447024
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`447167
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`447502
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`447652
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`447892
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`448042
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``448249
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``448413
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``448574
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``448778
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``448944
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``449100
ogensym`0`n`()->_$`dIdentifier``449326
ogenus`0`n`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``449435
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``449515
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``449595
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``449636
ogetConstant`1`n`(_$)->Union(SExpression,"failed")`dElaboratedExpression``449777
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``449844
ogetDatabase`1`n`(String)->Database(IndexCard)`pOperationsQuery``449988
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``450219
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``450297
ogetIdentifier`1`n`(_$)->Union(Identifier,"failed")`dElaboratedExpression``450540
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``450611
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``450770
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``450864
ogetMultiplicationMatrix`0`n`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``450958
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``451052
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``451229
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``451406
ogetOperands`1`n`(_$)->List(_$)`dSyntax``451583
ogetOperands`1`n`(_$)->Union(List(_$),"failed")`dElaboratedExpression``451665
ogetOperator`1`n`(_$)->Union(Identifier,"failed")`dElaboratedExpression``451761
ogetOperator`1`n`(_$)->Union(Integer,DoubleFloat,Identifier,String,_$)`dSyntax``451864
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``452080
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``452245
ogetProperties`2`n`(Identifier,_$)->List(Property)`dEnvironment``452548
ogetProperty`3`n`(Identifier,Identifier,_$)->Maybe(SExpression)`dEnvironment``452634
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``452794
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``452910
ogetSyntaxFormsFromFile`1`n`(String)->List(Syntax)`pParser``452999
ogetVariableOrder`0`n`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``453260
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``453439
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``453577
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``453715
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``453844
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``453983
ogramschmidt`1`n`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``454141
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``454313
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``454461
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``454668
ographImage`0`n`()->_$`dGraphImage``455081
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``455266
ographStates`1`n`(_$)->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``456334
ographs`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``456605
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``456778
ogreen`0`n`()->_$`dColor``457118
ogreen`1`n`(_$)->T`cRGBColorModel(T)``457195
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``457256
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``457550
ogroebner?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``457587
ogroebnerFactorize`1`n`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``457682
ogroebnerFactorize`2`n`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``458184
ogroebnerFactorize`2`n`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``458770
ogroebnerFactorize`3`n`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``459378
ogroebnerIdeal`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``460076
ogroebner`1`n`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``460288
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``460412
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``460631
ogroebner`1`n`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``460874
ogroebner`2`n`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``460980
ogroebner`3`n`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``461443
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`n`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``461827
oground?`1`n`(_$)->Boolean`cFunctionSpace(R)``461918
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`n`(_$)->R`cFiniteAbelianMonoidRing(R,E)``461988
oground`1`n`(_$)->R`cFunctionSpace(R)``462066
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``462193
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`462228
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`462407
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`462586
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`462798
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`462989
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`463201
oharmonic`1`n`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``463392
ohas?`2`n`(_$,Identifier)->Boolean`dBasicOperator``463497
ohasHi`1`n`(_$)->Boolean`dUniversalSegment(S)``463575
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``463653
ohasSolution?`2`n`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``463733
ohasSolution?`2`n`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``463822
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``463911
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`n`(_$)->SingleInteger`cSetCategory``463990
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``464049
ohclf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``464285
ohconcat`1`n`(List(_$))->_$`dOutputForm``464461
ohconcat`2`n`(_$,_$)->_$`dOutputForm``464540
ohcrf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``464621
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``464798
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``464887
oheadAst`2`n`(Identifier,List(ParameterAst))->_$`dHeadAst``464975
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``465052
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``465329
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``465591
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``465774
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``465921
oheadReduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``466078
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`n`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`466203
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`n`(_$)->HeadAst`dDefinitionAst``466480
ohead`1`n`(_$)->HeadAst`dMacroAst``466662
ohead`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``466846
ohead`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``466962
oheapSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``467218
oheap`1`n`(List(S))->_$`dHeap(S)``467339
oheight`0`n`()->Integer`dOutputForm``467430
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``467506
oheight`1`n`(_$)->Integer`dOutputForm``467613
oheight`1`n`(_$)->NonNegativeInteger`cDequeueAggregate(S)``467687
oheight`1`n`(_$)->NonNegativeInteger`cExpressionSpace``467809
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``468082
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``468145
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``468463
ohermiteH`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``468750
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``468912
ohermite`1`n`(M)->M`pSmithNormalForm(R,Row,Col,M)``469183
ohexDigit?`1`n`(_$)->Boolean`dCharacter``469264
ohexDigit`0`n`()->_$`dCharacterClass``469398
ohex`1`n`(Fraction(Integer))->_$`dHexadecimalExpansion``469520
ohi`1`n`(_$)->S`cSegmentCategory(S)``469596
ohighCommonTerms`2`n`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`469684
ohigh`1`n`(_$)->S`cSegmentCategory(S)``469901
ohitherPlane`2`n`(_$,Float)->Void`dThreeDimensionalViewport``469993
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``470172
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``470262
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``470372
ohorizontalTab`0`n`()->_$`dCharacter``470604
ohostByteOrder`0`n`()->ByteOrder`pSystem``470659
ohostPlatform`0`n`()->String`pSystem``470687
ohost`1`n`(String)->_$`dHostname``470802
ohspace`1`n`(Integer)->_$`dOutputForm``470865
ohtrigs`1`n`(F)->F`pTranscendentalManipulations(R,F)``470928
ohue`1`n`(Point(R))->R`pPointPackage(R)``471029
ohue`1`n`(_$)->Color`dPalette``471352
ohue`1`n`(_$)->Integer`dColor``471430
ohyperelliptic`0`n`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``471506
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``471643
ohypergeometric0F1`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``471780
ohypergeometric0F1`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``471868
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``471956
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``472170
oid`1`n`(A)->A`pMappingPackage1(A)``472346
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``472378
oideal`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``472669
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``472774
oideal`1`n`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``472845
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``472923
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``473089
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``473186
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``473337
oidentity`0`n`()->_$`dDenavitHartenbergMatrix(R)``473551
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``473605
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``473766
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``473824
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``473880
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``473936
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``473993
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``474049
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``474106
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``474162
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``474219
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``474275
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``474332
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``474388
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``474445
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``474501
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``474558
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``474616
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``474671
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``474727
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``474782
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``474838
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``474893
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``474949
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``475007
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``475064
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``475119
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``475176
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``475231
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``475288
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``475344
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``475399
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``475455
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``475510
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``475566
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``475622
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``475678
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``475733
oimagE`1`n`(_$)->R`cOctonionCategory(R)``475789
oimagI`1`n`(_$)->R`cOctonionCategory(R)``475871
oimagI`1`n`(_$)->R`cQuaternionCategory(R)``475953
oimagJ`1`n`(_$)->R`cOctonionCategory(R)``476037
oimagJ`1`n`(_$)->R`cQuaternionCategory(R)``476119
oimagK`1`n`(_$)->R`cOctonionCategory(R)``476203
oimagK`1`n`(_$)->R`cQuaternionCategory(R)``476285
oimag`1`n`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``476369
oimag`1`n`(F)->F`pTrigonometricManipulations(R,F)``476468
oimag`1`n`(_$)->R`cComplexCategory(R)``476567
oimagi`1`n`(_$)->R`cOctonionCategory(R)``476625
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`n`()->_$`cComplexCategory(R)``476697
oimagj`1`n`(_$)->R`cOctonionCategory(R)``476755
oimagk`1`n`(_$)->R`cOctonionCategory(R)``476827
oimplies`2`n`(_$,_$)->_$`cPropositionalLogic``476899
oimports`1`n`(_$)->List(TypeAst)`dImportAst``476973
oin?`2`n`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``477034
oinGroundField?`1`n`(_$)->Boolean`cExtensionField(F)``477121
oinHallBasis?`4`n`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``477228
oinR?`1`n`(_$)->Boolean`dPattern(R)``477608
oinRadical?`2`n`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``477703
oinc`1`n`(_$)->_$`cIntegerNumberSystem``477811
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``477854
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``478018
oincr`1`n`(_$)->Integer`cSegmentCategory(S)``478182
oincreasePrecision`1`n`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`478337
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``478467
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``478653
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``478831
oindex?`2`n`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``479006
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->_$`cFinite``479085
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``479332
oindex`1`n`(_$)->S`dIndexedProductTerm(A,S)``479369
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``479431
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``479530
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``479738
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`n`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``479858
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``479955
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``480055
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``480155
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``480249
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``480343
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``480551
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``480759
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``480999
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``481239
oinfRittWu?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``481503
oinfRittWu?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``481615
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``481727
oinfRittWu?`2`n`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``481924
oinf`1`n`(_$)->R`cIntervalCategory(R)``482080
oinfieldIntegrate`2`n`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``482142
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``482276
oinfinite?`1`n`(_$)->Boolean`dOnePointCompletion(R)``482413
oinfinite?`1`n`(_$)->Boolean`dOrderedCompletion(R)``482471
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``482545
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``482685
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``482825
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``482965
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``483105
oinfinity`0`n`()->OnePointCompletion(Integer)`pInfinity``483218
oinfinity`0`n`()->_$`dOnePointCompletion(R)``483261
oinfix?`1`n`(_$)->Boolean`dOutputForm``483304
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``483414
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``483555
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``483639
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`n`()->_$`cStepThrough``483695
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``483756
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`n`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``483981
oinitializeGroupForWordProblem`1`n`(_$)->Void`dPermutationGroup(S)``484133
oinitializeGroupForWordProblem`3`n`(_$,Integer,Integer)->Void`dPermutationGroup(S)``484567
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``485028
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``485316
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``485588
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``485863
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``486081
oinitiallyReduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``486248
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`n`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``486432
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``486536
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``486869
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``486986
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``487116
oinnerint`5`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``487468
oinputBinaryFile`1`n`(FileName)->_$`dInputBinaryFile``487544
oinputBinaryFile`1`n`(String)->_$`dInputBinaryFile``487662
oinputOutputBinaryFile`1`n`(FileName)->_$`dInputOutputBinaryFile``487780
oinputOutputBinaryFile`1`n`(String)->_$`dInputOutputBinaryFile``487916
oinput`0`n`()->_$`dIOMode``488047
oinput`1`n`(_$)->Maybe((List(InputForm))->InputForm)`dBasicOperator``488110
oinput`2`n`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``488230
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``488440
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``488504
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`n`(S,_$)->_$`cBagAggregate(S)``488631
oinsert!`2`n`(S,_$)->_$`dBinarySearchTree(S)``488699
oinsert!`2`n`(S,_$)->_$`dBinaryTournament(S)``488795
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``488890
oinsert!`3`n`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``488986
oinsert!`3`n`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``489091
oinsertBottom!`2`n`(S,_$)->S`cDequeueAggregate(S)``489197
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``489324
oinsertRoot!`2`n`(S,_$)->_$`dBinarySearchTree(S)``489486
oinsertTop!`2`n`(S,_$)->S`cDequeueAggregate(S)``489584
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,_$,Integer)->_$`cLinearAggregate(S)``489817
oinsert`3`n`(_$,_$,Integer)->_$`cLinearAggregate(S)``490032
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`490283
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``490326
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`n`(_$)->S`cBagAggregate(S)``490374
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``490439
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)))`490479
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``490726
oint`1`n`(_$)->_$`dOutputForm``490835
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``490921
oint`2`n`(_$,_$)->_$`dOutputForm``491004
oint`3`n`(_$,_$,_$)->_$`dOutputForm``491124
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``491282
ointeger?`1`n`(S)->Boolean`pIntegerRetractions(S)``491323
ointeger?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``491417
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``491500
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``491592
ointegerIfCan`1`n`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``491738
ointeger`1`n`(S)->Integer`pIntegerRetractions(S)``491842
ointeger`1`n`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``491936
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``492060
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`n`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``492118
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``492192
ointegral?`2`n`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``492282
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`n`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``492375
ointegralBasisAtInfinity`0`n`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``492462
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``492548
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``493362
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``494176
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``494982
ointegralBasis`0`n`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``495796
ointegralCoordinates`1`n`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``495868
ointegralDerivationMatrix`1`n`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``496065
ointegralLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``496391
ointegralMatrixAtInfinity`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``496520
ointegralMatrix`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``496732
ointegralRepresents`2`n`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``496940
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``497098
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``497191
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``497320
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`497406
ointegral`2`n`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``497499
ointegral`2`n`(_$,Symbol)->_$`cPrimitiveFunctionCategory``497631
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``497704
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`497773
ointegrate`1`n`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`497962
ointegrate`1`n`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`498079
ointegrate`1`n`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`498276
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`498465
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`498648
ointegrate`2`n`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``498896
ointegrate`2`n`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``499058
ointegrate`2`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``499171
ointegrate`2`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``499333
ointegrate`2`n`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`499495
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`499609
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`499739
ointegrate`2`n`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`499869
ointegrate`2`n`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`499999
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`500129
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`500259
ointegrate`2`n`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`500389
ointegrate`2`n`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`500550
ointegrate`2`n`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`500777
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`500966
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`501155
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`501344
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`501535
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`501724
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`501913
ointegrate`3`n`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``502104
ointegrate`3`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``502511
ointegrate`3`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``502918
ointegrate`3`n`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`503325
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`503475
ointensity`2`n`(_$,Float)->Void`dThreeDimensionalViewport``503625
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``503820
ointeractiveEnv`0`n`()->_$`dEnvironment``504123
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``504177
ointernalAugment`2`n`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``504218
ointernalAugment`2`n`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``504376
ointernalAugment`7`n`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``504482
ointernalAugment`7`n`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``504649
ointernalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`n`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`n`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalInfRittWu?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``504816
ointernalInfRittWu?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``504936
ointernalIntegrate0`2`n`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``505056
ointernalIntegrate`2`n`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``505139
ointernalIntegrate`2`n`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``505263
ointernalLastSubResultant`3`n`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``505346
ointernalLastSubResultant`5`n`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``505471
ointernalSubPolSet?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``505616
ointernalSubPolSet?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``505886
ointernalSubQuasiComponent?`2`n`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``506156
ointernalSubQuasiComponent?`2`n`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``506428
ointernalZeroSetSplit`4`n`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``506695
ointernalZeroSetSplit`4`n`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``506832
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``506969
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``507016
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``507065
ointerpret`1`n`(_$)->Any`dInputForm``507189
ointersect`1`n`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``507252
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``507339
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``507440
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``507615
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``507692
ointersect`2`n`(_$,_$)->_$`cSetAggregate(S)``507767
ointersect`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``508034
ointerval`1`n`(Fraction(Integer))->_$`cIntervalCategory(R)``508126
ointerval`1`n`(R)->_$`cIntervalCategory(R)``508192
ointerval`2`n`(R,R)->_$`cIntervalCategory(R)``508258
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)``508433
oinv`1`n`(_$)->_$`cDivisionRing``508506
oinv`1`n`(_$)->_$`cGroup``508599
oinv`1`n`(_$)->_$`cOctonionCategory(R)`has(R,Field)`508653
oinv`1`n`(_$)->_$`dEquation(S)`has(S,Field)`508720
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``508789
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``508824
oinverseColeman`3`n`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``508859
oinverseIntegralMatrixAtInfinity`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``509544
oinverseIntegralMatrix`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``509763
oinverseLaplace`3`n`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``509975
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``510146
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``510214
oinverse`1`n`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`510376
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``510529
oinverse`1`n`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`510749
oinverse`1`n`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`510911
oinverse`1`n`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`511043
oinvertIfCan`1`n`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`511205
oinvertible?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``511280
oinvertible?`2`n`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``511399
oinvertibleElseSplit?`2`n`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``511614
oinvertibleSet`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``511808
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`n`(_$,_$)->_$`cIntegerNumberSystem``511993
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``512080
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``512194
oiomode`1`n`(_$)->String`cFileCategory(Name,S)``512320
oip4Address`1`n`(String)->_$`dIP4Address``512466
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``512546
oiprint`1`n`(String)->Void`pInternalPrintPackage``512601
oirCtor`2`n`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``512696
oirDef`3`n`(Identifier,InternalTypeForm,_$)->_$`dInternalRepresentationForm``512809
oirForm`1`n`(_$)->InternalRepresentationForm`dElaboration``512959
oirVar`2`n`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``513053
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`513162
oirreducible?`1`n`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``513223
oirreducibleFactor`2`n`(R,Integer)->_$`dFactored(R)``513307
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`513467
oirreducibleRepresentation`1`n`(List(PositiveInteger))->List(Matrix(Integer))`pIrrRepSymNatPackage``513778
oirreducibleRepresentation`2`n`(List(PositiveInteger),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``514117
oirreducibleRepresentation`2`n`(List(PositiveInteger),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``514333
ois?`2`n`(A,S)->Boolean`xOperatorCategory&(A,S)``0
ois?`2`n`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``514578
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``514691
ois?`2`n`(_$,BasicOperator)->Boolean`cExpressionSpace``514781
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``514863
ois?`2`n`(_$,S)->Boolean`cOperatorCategory(S)``514923
ois?`2`n`(_$,Symbol)->Boolean`cExpressionSpace``515004
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``515103
oisAbsolutelyIrreducible?`1`n`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`515176
oisAbsolutelyIrreducible?`2`n`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`515309
oisAnd`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``515800
oisAtom`1`n`(_$)->Maybe(T)`dPropositionalFormula(T)``515939
oisConnected?`1`n`(_$)->Boolean`cNetworkClientSocket(T)``0
oisEquiv`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``516054
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``516196
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``516302
oisExpt`1`n`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`516413
oisExpt`1`n`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``516497
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`516609
oisExpt`2`n`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`516717
oisImplies`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``516823
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``516967
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`n`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`517067
oisNot`1`n`(_$)->Maybe(_$)`dPropositionalFormula(T)``517152
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``517271
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``517381
oisOpen?`1`n`(_$)->Boolean`dInputBinaryFile``517489
oisOpen?`1`n`(_$)->Boolean`dInputOutputBinaryFile``517553
oisOpen?`1`n`(_$)->Boolean`dOutputBinaryFile``517609
oisOr`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``517664
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``517802
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`517925
oisPlus`1`n`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``518020
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``518170
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``518307
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`518414
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``518499
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``518594
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``518691
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`518807
oisTimes`1`n`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``518901
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``519195
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`n`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``519319
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``519502
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``519566
oiterationVar`1`n`(_$)->Identifier`dInAst``519751
oiterationVar`1`n`(_$)->Identifier`dStepAst``519849
oiterators`1`n`(_$)->List(SpadAst)`dCollectAst``519971
oiterators`1`n`(_$)->List(SpadAst)`dRepeatAst``520063
ojacobiIdentity?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``520146
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``520354
ojacobi`2`n`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``520562
ojanko2`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``520840
ojanko2`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``520926
ojokerMode`0`n`()->_$`dInternalTypeForm``521142
ojordanAdmissible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``521233
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``521525
ojordanAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``521817
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``522165
ojust`1`n`(T)->_$`dMaybe(T)``522513
ojvmAbstract`0`n`()->_$`dJVMClassFileAccess``522565
ojvmAbstract`0`n`()->_$`dJVMMethodAccess``522656
ojvmClassConstantTag`0`n`()->_$`dJVMConstantTag``522738
ojvmDoubleConstantTag`0`n`()->_$`dJVMConstantTag``522820
ojvmFieldrefConstantTag`0`n`()->_$`dJVMConstantTag``522892
ojvmFinal`0`n`()->_$`dJVMClassFileAccess``522968
ojvmFinal`0`n`()->_$`dJVMFieldAccess``523041
ojvmFinal`0`n`()->_$`dJVMMethodAccess``523130
ojvmFloatConstantTag`0`n`()->_$`dJVMConstantTag``523220
ojvmIntegerConstantTag`0`n`()->_$`dJVMConstantTag``523291
ojvmInterfaceMethodConstantTag`0`n`()->_$`dJVMConstantTag``523365
ojvmInterface`0`n`()->_$`dJVMClassFileAccess``523447
ojvmLongConstantTag`0`n`()->_$`dJVMConstantTag``523509
ojvmMethodrefConstantTag`0`n`()->_$`dJVMConstantTag``523579
ojvmNameAndTypeConstantTag`0`n`()->_$`dJVMConstantTag``523656
ojvmNative`0`n`()->_$`dJVMMethodAccess``523757
ojvmPrivate`0`n`()->_$`dJVMFieldAccess``523849
ojvmPrivate`0`n`()->_$`dJVMMethodAccess``523945
ojvmProtected`0`n`()->_$`dJVMFieldAccess``524042
ojvmProtected`0`n`()->_$`dJVMMethodAccess``524134
ojvmPublic`0`n`()->_$`dJVMClassFileAccess``524227
ojvmPublic`0`n`()->_$`dJVMFieldAccess``524318
ojvmPublic`0`n`()->_$`dJVMMethodAccess``524405
ojvmStatic`0`n`()->_$`dJVMFieldAccess``524493
ojvmStatic`0`n`()->_$`dJVMMethodAccess``524531
ojvmStrict`0`n`()->_$`dJVMMethodAccess``524570
ojvmStringConstantTag`0`n`()->_$`dJVMConstantTag``524655
ojvmSuper`0`n`()->_$`dJVMClassFileAccess``524727
ojvmSynchronized`0`n`()->_$`dJVMMethodAccess``524799
ojvmTransient`0`n`()->_$`dJVMFieldAccess``524844
ojvmUTF8ConstantTag`0`n`()->_$`dJVMConstantTag``524885
ojvmVolatile`0`n`()->_$`dJVMFieldAccess``524998
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`n`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``525038
okaratsubaOnce`2`n`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``525129
okaratsuba`4`n`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``525288
okernel`1`n`(Symbol)->_$`dKernel(S)``525631
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,List(_$))->_$`cExpressionSpace``525692
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,_$)->_$`cExpressionSpace``525785
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``525867
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`n`(_$)->List(Kernel(_$))`cExpressionSpace``526052
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`n`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``526218
okey`1`n`(_$)->Integer`dGraphImage``526288
okey`1`n`(_$)->Integer`dThreeDimensionalViewport``526405
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``526567
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`n`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``526725
okind`1`n`(S)->ConstructorKind`xConstructorCategory&(S)``0
okind`1`n`(_$)->ConstructorKind`cConstructorCategory``526792
okind`1`n`(_$)->ConstructorKind`dCategoryAst``526861
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``526953
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``527034
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``527081
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``527401
okroneckerDelta`0`n`()->_$`dCartesianTensor(minix,dim,R)``527839
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``528031
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``528143
olabel`2`n`(_$,_$)->_$`dOutputForm``528252
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``528325
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``528455
olaguerreL`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``528609
olaguerreL`3`n`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``528779
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``528924
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``529203
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``529372
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``529681
olaplace`3`n`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``530045
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`530307
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``530477
olastSubResultantElseSplit`3`n`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``530630
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``530976
olastSubResultant`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`531163
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`531441
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``531676
olastSubResultant`3`n`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``531811
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`n`(_$)->S`cDoublyLinkedAggregate(S)``532493
olast`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``532608
olast`1`n`(_$)->SpadAst`dSequenceAst``532775
olast`1`n`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``532834
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``532989
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`n`(_$)->String`cSetCategory``533164
olaurentIfCan`1`n`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``533248
olaurentRep`1`n`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``533403
olaurent`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``533535
olaurent`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``533718
olaurent`1`n`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``533788
olaurent`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``533921
olaurent`2`n`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``534033
olaurent`2`n`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``534275
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``534333
olaurent`3`n`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``534516
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``534684
olazy?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``534855
olazyEvaluate`1`n`(_$)->_$`cLazyStreamAggregate(S)``535023
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`535300
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`535374
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`535462
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``535940
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``536128
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`n`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``536338
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`n`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``536531
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``536757
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``537036
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:R,gap:NonNegativeInteger,quotient:_$,remainder:_$)`dNewSparseUnivariatePolynomial(R)``537388
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``537701
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`n`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``537977
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``538292
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``538467
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``538750
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``539122
olazyVariations`3`n`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`539438
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`n`(List(_$))->_$`cGcdDomain``539574
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`n`(_$,_$)->_$`cGcdDomain``539667
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`n`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``539750
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``539924
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``540027
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``540125
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->A`cIndexedDirectProductCategory(A,S)``540456
oleadingCoefficient`1`n`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``540639
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``540736
oleadingCoefficient`1`n`(_$)->R`cAbelianMonoidRing(R,E)``540837
oleadingCoefficient`1`n`(_$)->R`cFreeModuleCat(R,Basis)``540930
oleadingCoefficient`1`n`(_$)->R`cMonogenicLinearOperator(R)``541036
oleadingCoefficient`1`n`(_$)->R`cUnivariateSkewPolynomialCategory(R)``541148
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``541260
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``541366
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``541416
oleadingCoefficient`1`n`(_$)->R`dMonoidRing(R,M)`has(M,OrderedSet)`541463
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`n`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``541631
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``541822
oleadingIdeal`1`n`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``541869
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``541982
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->Basis`cFreeModuleCat(R,Basis)``542026
oleadingMonomial`1`n`(_$)->M`dMonoidRing(R,M)`has(M,OrderedSet)`542143
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``542302
oleadingMonomial`1`n`(_$)->_$`cAbelianMonoidRing(R,E)``542349
oleadingMonomial`1`n`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``542440
oleadingSupport`1`n`(_$)->S`cIndexedDirectProductCategory(A,S)``542523
oleadingTerm`1`n`(_$)->Record(k:Basis,c:R)`cFreeModuleCat(R,Basis)``542692
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`cRecursiveAggregate(S)``542784
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``542845
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``542882
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``543137
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``543468
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(_$)->List(S)`cRecursiveAggregate(S)``543585
oleftAlternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``543719
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``543932
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``544145
oleftDiscriminant`0`n`()->R`cFramedNonAssociativeAlgebra(R)``544303
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``544671
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``545039
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``545340
oleftDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`545535
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`545730
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``545971
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`n`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`546095
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`546219
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``546327
oleftFactor`2`n`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``546564
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``546608
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`546844
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``547080
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`547278
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`547477
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``547711
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``547837
oleftOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`547935
oleftOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`547992
oleftPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``548049
oleftPower`2`n`(_$,PositiveInteger)->_$`cMonad``548231
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``548413
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`548601
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`548789
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`548885
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``549124
oleftRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``549363
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`549521
oleftRecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``549734
oleftReducedSystem`1`n`(Vector(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``549916
oleftReducedSystem`2`n`(Vector(_$),_$)->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``550179
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`n`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``550459
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``550631
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``550828
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`551017
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``551206
oleftTraceMatrix`0`n`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``551396
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``551678
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``551960
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``552168
oleftTrim`2`n`(_$,Character)->_$`cStringAggregate``552261
oleftTrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``552429
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`552608
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`552733
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``552857
oleftZero`1`n`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`552980
oleft`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``553037
oleft`1`n`(_$)->_$`cBinaryRecursiveAggregate(S)``553111
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``553157
oleft`1`n`(_$)->_$`dMagma(VarSet)``553313
oleft`1`n`(_$)->_$`dOutputForm``553464
oleft`2`n`(_$,Integer)->_$`dOutputForm``553531
olegendreP`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`553616
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``553782
olegendre`2`n`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``554058
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``554409
olength`1`n`(_$)->NonNegativeInteger`cQueueAggregate(S)``554520
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``554627
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``554683
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``554775
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``554848
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``554931
olength`1`n`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`555014
olength`1`n`(_$)->_$`cIntegerNumberSystem``555117
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``555171
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``555205
oless?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``555307
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``555383
olevel`1`n`(_$)->Integer`dExitAst``555581
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``555642
oleviCivitaSymbol`0`n`()->_$`dCartesianTensor(minix,dim,R)``555779
olexGroebner`2`n`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``555998
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``556184
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``556583
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``556650
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``556859
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``557201
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``557368
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``557527
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``557759
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``557889
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``557960
olfunc`2`n`(Integer,Integer)->Integer`pHallBasis``558179
olhs`1`n`(_$)->F`dRewriteRule(Base,R,F)``558402
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``558472
olhs`1`n`(_$)->S`dEquation(S)``558527
olhs`1`n`(_$)->SpadAst`dCaseAst``558601
olhs`1`n`(_$)->SpadAst`dColonAst``558677
olhs`1`n`(_$)->SpadAst`dHasAst``558754
olhs`1`n`(_$)->SpadAst`dIsAst``558829
olhs`1`n`(_$)->SpadAst`dLetAst``558903
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``558985
oli`1`n`(_$)->_$`cLiouvillianFunctionCategory``559038
olibrary`1`n`(FileName)->_$`dLibrary``559160
olieAdmissible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``559214
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``559421
olieAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``559628
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``559944
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``560260
olift`1`n`(_$)->P`dModMonic(R,P)``560352
olift`1`n`(_$)->UP`cMonogenicAlgebra(R,UP)``560388
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``560490
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)``560528
olifting1`9`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(P)),List(R),List(P),List(List(Record(expt:NonNegativeInteger,pcoef:P))),List(NonNegativeInteger),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``560563
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)``560625
olight`1`n`(Color)->_$`dPalette``560681
olighting`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``560766
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``561027
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``561099
olimit`2`n`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``561173
olimit`2`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``561254
olimit`2`n`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``561378
olimit`3`n`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``561502
olimit`3`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``561691
olimitedIntegrate`3`n`(Fraction(Polynomial(F)),Symbol,List(Fraction(Polynomial(F))))->Union(Record(mainpart:Fraction(Polynomial(F)),limitedlogs:List(Record(coeff:Fraction(Polynomial(F)),logand:Fraction(Polynomial(F))))),"failed")`pRationalFunctionIntegration(F)``561956
olimitedint`2`n`(Fraction(UP),List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pRationalIntegration(F,UP)``562201
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``562432
olinSolve`2`n`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``562470
olineColorDefault`0`n`()->Palette`pViewDefaultsPackage``562621
olineColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``562725
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``562851
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`n`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`563003
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`563668
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`n`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`563821
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`564057
olinearDependenceOverZ`1`n`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``564212
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``564433
olinearElement`1`n`(List(K))->_$`dLinearElement(K,B)``564643
olinearForm`1`n`(List(K))->_$`dLinearForm(K,B)``564801
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``564952
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``565116
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``565154
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``565194
olinearlyDependentOverZ?`1`n`(Vector(R))->Boolean`pIntegerLinearDependence(R)``565343
olinears`2`n`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``565501
olinefeed`0`n`()->_$`dCharacter``565680
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``565739
olist?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``565801
olistBranches`1`n`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``565882
olistBranches`1`n`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``565998
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)``566114
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``566351
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`n`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``566468
olistOfLists`1`n`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``566557
olistOfLists`1`n`(_$)->List(List(S))`dTableau(S)``566646
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``566722
olistRepresentation`1`n`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``566804
olistYoungTableaus`1`n`(List(PositiveInteger))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``567172
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`n`(S)->_$`cListAggregate(S)``567645
olist`1`n`(_$)->List(_$)`dSymbol``567709
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``567813
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``567849
olittleEndian`0`n`()->_$`dByteOrder``567918
olllip`1`n`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``567974
olllp`1`n`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``568244
ollprop`1`n`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``568502
olo`1`n`(_$)->S`cSegmentCategory(S)``568758
oloadNativeModule`1`n`(String)->Void`pSystem``568845
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``568943
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``569138
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``569333
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``570176
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``571025
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``571866
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``572715
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``572775
olog10`0`n`()->_$`dFloat``572829
olog10`1`n`(_$)->_$`dDoubleFloat``572897
olog10`1`n`(_$)->_$`dFloat``572970
olog2`0`n`()->_$`dFloat``573041
olog2`1`n`(_$)->_$`dDoubleFloat``573127
olog2`1`n`(_$)->_$`dFloat``573198
ologGamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``573267
ologGamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``573391
ologIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``573515
olog`1`n`(F)->F`pElementaryFunction(R,F)``573602
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``573666
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``573810
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``573868
olog`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``573926
olog`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``573997
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``574070
olog`1`n`(_$)->_$`cElementaryFunctionCategory``574142
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``574206
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`574326
ological?`1`n`(_$)->Boolean`dFortranScalarType``574450
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``574542
olookupFunction`1`n`(_$)->Identifier`dFunctorData``574622
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``574736
olookup`1`n`(_$)->PositiveInteger`cFinite``574810
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``574898
olow`1`n`(_$)->S`cSegmentCategory(S)``575372
olowerBound`1`n`(_$)->SpadAst`dStepAst``575461
olowerCase!`1`n`(_$)->_$`cStringAggregate``575562
olowerCase?`1`n`(_$)->Boolean`dCharacter``575666
olowerCase`0`n`()->_$`dCharacterClass``575777
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`n`(_$)->_$`cStringAggregate``575901
olowerCase`1`n`(_$)->_$`dCharacter``575982
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``576153
olp`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``576305
olprop`1`n`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``576601
olquo`2`n`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``576803
olquo`2`n`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``576917
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``577007
olquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``577089
olquo`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)``577281
olquo`2`n`(_$,vl)->_$`cXFreeAlgebra(vl,R)``577362
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``577456
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``577532
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``577614
omacroExpand`2`n`(SpadAst,Environment)->SpadAst`pCompilerPackage``577741
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`n`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`577888
omainCharacterization`1`n`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``577991
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``578102
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`578439
omainDefiningPolynomial`1`n`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``578672
omainExpression`1`n`(_$)->SpadAst`dWhereAst``578799
omainForm`1`n`(_$)->Union(OutputForm,"failed")`cRealClosedField``578890
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`n`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``578980
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``579141
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``579401
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`579725
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`579971
omainValue`1`n`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``580220
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`n`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``580344
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``580484
omainVariable`1`n`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``580643
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``580802
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`n`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``581002
omakeCos`2`n`(E,R)->_$`dFourierSeries(R,E)``581148
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``581234
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``581271
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``581395
omakeFR`2`n`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``581502
omakeFloatFunction`2`n`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``581598
omakeFloatFunction`3`n`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``581854
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``582177
omakeGraphImage`1`n`(_$)->_$`dGraphImage``582535
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``582939
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``583517
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``584155
omakeObject`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``584239
omakeObject`2`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``584501
omakeObject`2`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``584763
omakeObject`3`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``585069
omakeObject`3`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``585400
omakeObject`3`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``585656
omakeObject`3`n`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``585933
omakeObject`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``586246
omakeObject`3`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``586577
omakeObject`3`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``586989
omakeObject`3`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``587335
omakeObject`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``587736
omakeObject`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``588098
omakeObject`4`n`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``588473
omakeObject`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``588884
omakeObject`4`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``589318
omakeRecord`2`n`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``589815
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``589970
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`n`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``590053
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``590180
omakeSin`2`n`(E,R)->_$`dFourierSeries(R,E)``590298
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``590384
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``591277
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``591410
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``591477
omakeVariable`1`n`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`591792
omakeVariable`2`n`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``592113
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``592253
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``592475
omakeViewport3D`1`n`(_$)->_$`dThreeDimensionalViewport``592808
omakeViewport3D`2`n`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``593034
omakeViewport3D`2`n`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``593367
omakeYoungTableau`2`n`(List(PositiveInteger),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``593609
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``593884
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``593937
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``593979
omantissa`1`n`(_$)->Integer`cFloatingPointSystem``594069
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``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,_$)->_$`cShallowlyMutableAggregate(S)``594134
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``594230
omapCoef`2`n`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``594335
omapDown!`3`n`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``594419
omapDown!`3`n`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``594847
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``595425
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``595510
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`cFreeMonoidCategory(S)``595595
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`n`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``595680
omapGen`2`n`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``595806
omapGen`2`n`((S)->S,_$)->_$`cFreeMonoidCategory(S)``595889
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``595972
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``596055
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``596138
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``596307
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``596349
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``596512
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``596614
omapUp!`2`n`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``596716
omapUp!`3`n`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``597038
omap`2`n`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``597516
omap`2`n`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``597656
omap`2`n`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``597780
omap`2`n`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``597855
omap`2`n`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``598021
omap`2`n`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``598205
omap`2`n`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``598342
omap`2`n`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``598514
omap`2`n`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``598625
omap`2`n`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``598818
omap`2`n`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``598958
omap`2`n`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``599117
omap`2`n`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``599154
omap`2`n`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``599191
omap`2`n`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``599228
omap`2`n`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``599347
omap`2`n`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``599453
omap`2`n`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``599559
omap`2`n`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``599598
omap`2`n`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``599693
omap`2`n`((E)->F,Union(Record(mainpart:E,limitedlogs:List(Record(coeff:E,logand:E))),"failed"))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pIntegrationResultFunctions2(E,F)``599731
omap`2`n`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``599770
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`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``599809
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)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``599848
omap`2`n`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``599945
omap`2`n`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``600136
omap`2`n`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``600216
omap`2`n`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``600301
omap`2`n`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``600573
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``600750
omap`2`n`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``600879
omap`2`n`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``600967
omap`2`n`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``601081
omap`2`n`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``601252
omap`2`n`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``601289
omap`2`n`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``601576
omap`2`n`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``601698
omap`2`n`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``601843
omap`2`n`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`601933
omap`2`n`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``602154
omap`2`n`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``602221
omap`2`n`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``602297
omap`2`n`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``602430
omap`2`n`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`602563
omap`2`n`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``602651
omap`2`n`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``602762
omap`2`n`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``602842
omap`2`n`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``602881
omap`2`n`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``602920
omap`2`n`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``603013
omap`2`n`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``603106
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``603143
omap`2`n`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``603237
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``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)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``603330
omap`2`n`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``603490
omap`2`n`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``603649
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``603745
omap`2`n`((S)->S,_$)->_$`cFunctorial(S)``603960
omap`2`n`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``604144
omap`2`n`((S)->T,PropositionalFormula(S))->PropositionalFormula(T)`pPropositionalFormulaFunctions2(S,T)``604270
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``604429
omap`2`n`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``604466
omap`3`n`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``604557
omap`3`n`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``604596
omap`3`n`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``604635
omap`3`n`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``605046
omap`3`n`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``605085
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``605316
omap`3`n`((F)->S,String,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``605558
omap`3`n`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``605695
omap`3`n`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``605812
omap`3`n`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``605948
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``606052
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``606359
omap`4`n`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``606664
omap`4`n`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``606832
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`607138
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``607215
omappingAst`2`n`(List(TypeAst),TypeAst)->_$`dMappingAst``607293
omappingMode`2`n`(_$,List(_$))->_$`dInternalTypeForm``607367
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`n`(_$)->_$`cIntegerNumberSystem``607482
omatch?`3`n`(_$,_$,Character)->Boolean`cStringAggregate``607550
omatch`2`n`(List(A),List(B))->(A)->B`pListToMap(A,B)``607735
omatch`3`n`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``608115
omatch`3`n`(List(A),List(B),A)->B`pListToMap(A,B)``608483
omatch`3`n`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``608840
omatch`3`n`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``609211
omatch`4`n`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``609736
omatch`4`n`(List(A),List(B),A,B)->B`pListToMap(A,B)``610119
omathieu11`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``610487
omathieu11`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``610577
omathieu12`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``610799
omathieu12`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``610889
omathieu22`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``611108
omathieu22`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``611198
omathieu23`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``611418
omathieu23`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``611508
omathieu24`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``611728
omathieu24`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``611818
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``612038
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``612201
omatrix`1`n`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``612347
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``612493
omatrix`1`n`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``612603
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``612687
omaxColIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``612802
omaxColIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``612894
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`n`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`612984
omaxPoints3D`0`n`()->Integer`dPlot3D``613235
omaxPoints`0`n`()->Integer`dPlot``613311
omaxPoints`0`n`()->Integer`pGraphicsDefaults``613384
omaxPoints`1`n`(Integer)->Integer`pGraphicsDefaults``613458
omaxRowIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``613529
omaxRowIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``613618
omax`0`n`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`613705
omax`0`n`()->_$`cOrderedFinite``613768
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`613814
omax`1`n`(_$)->S`cPriorityQueueAggregate(S)``613886
omax`2`n`(S,S)->S`xOrderedType&(S)``0
omax`2`n`(_$,_$)->_$`cOrderedType``613963
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``614057
omaxdeg`1`n`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``614215
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)``614301
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)``614383
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`n`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``614447
omeatAxe`1`n`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`614686
omeatAxe`2`n`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`615710
omeatAxe`2`n`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`616089
omeatAxe`4`n`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`616262
omedialSet`1`n`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``617321
omedialSet`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``617428
omember?`2`n`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``618007
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``618126
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(S,A)->Boolean`xFiniteAggregate&(A,S)``0
omember?`2`n`(S,_$)->Boolean`cFiniteAggregate(S)`has(S,BasicType)`618228
omembers`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
omembers`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omembers`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
omembers`1`n`(_$)->List(FunctionDescriptor)`dOverloadSet``618416
omembers`1`n`(_$)->List(S)`cFiniteAggregate(S)``618571
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`n`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`618769
omerge!`2`n`(_$,_$)->_$`cPriorityQueueAggregate(S)``618858
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``618984
omergeDifference`2`n`(List(S),List(S))->List(S)`pMergeThing(S)``619081
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``619263
omerge`1`n`(List(_$))->_$`cThreeSpaceCategory(R)``619583
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``619768
omerge`2`n`(A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`619847
omerge`2`n`(_$,_$)->_$`cPriorityQueueAggregate(S)``619997
omerge`2`n`(_$,_$)->_$`cThreeSpaceCategory(R)``620125
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``620300
omerge`3`n`((S,S)->Boolean,A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,_$,_$)->_$`cFiniteLinearAggregate(S)``620389
omesh?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``621016
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``621230
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``621283
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``621337
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``621388
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``621442
omesh`1`n`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``621499
omesh`1`n`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``621710
omesh`3`n`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``621972
omesh`4`n`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``622698
omesh`4`n`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``623589
omesh`4`n`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``624123
omesh`4`n`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``624888
omessagePrint`1`n`(String)->Void`dOutputForm``625251
omessage`1`n`(String)->_$`dOutputForm``625391
omiddle`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``625476
omidpoint`1`n`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``625548
omidpoints`1`n`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``625625
omightHaveRoots`2`n`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``625730
ominColIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``625835
ominColIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``625928
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``626019
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`n`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`626057
ominPoints3D`0`n`()->Integer`dPlot3D``626273
ominPoints`0`n`()->Integer`dPlot``626349
ominPoints`0`n`()->Integer`pGraphicsDefaults``626422
ominPoints`1`n`(Integer)->Integer`pGraphicsDefaults``626496
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``626567
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``626602
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`626637
ominPoly`1`n`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`626707
ominRowIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``626776
ominRowIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``626866
omin`0`n`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`626954
omin`0`n`()->_$`cOrderedFinite``627017
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`627063
omin`1`n`(_$)->S`cOrderedMultisetAggregate(S)``627136
omin`2`n`(S,S)->S`xOrderedType&(S)``0
omin`2`n`(_$,_$)->_$`cOrderedType``627220
omindegTerm`1`n`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``627314
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``627391
omindeg`1`n`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``627549
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``627645
ominimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``627764
ominimalPolynomial`1`n`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`627885
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`n`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`627964
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``628121
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`n`(_$)->E`cFiniteAbelianMonoidRing(R,E)``628197
ominimumDegree`1`n`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``628320
ominimumDegree`1`n`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``628465
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``628609
ominimumDegree`2`n`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``628758
ominordet`1`n`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``628928
ominordet`1`n`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`629052
ominordet`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`629176
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)``629264
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``629346
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``629495
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``629644
ominusInfinity`0`n`()->OrderedCompletion(Integer)`pInfinity``629843
ominusInfinity`0`n`()->_$`dOrderedCompletion(R)``629896
omirror`1`n`(_$)->_$`cFreeLieAlgebra(VarSet,R)``629945
omirror`1`n`(_$)->_$`cXFreeAlgebra(vl,R)``630059
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``630159
omirror`1`n`(_$)->_$`dMagma(VarSet)``630257
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``630522
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``630585
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``630620
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``630782
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`631037
omkcomm`1`n`(Integer)->_$`dCommutator``631156
omkcomm`2`n`(_$,_$)->_$`dCommutator``631196
omodTree`2`n`(R,List(R))->List(R)`pCRApackage(R)``631238
omodifyPointData`3`n`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``631281
omodifyPointData`3`n`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``631544
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``631776
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``632274
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``632740
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``633051
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``633549
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``633674
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``633783
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`634618
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``634694
omoduloP`1`n`(_$)->Integer`cPAdicIntegerCategory(p)``634788
omodulus`0`n`()->Integer`cPAdicIntegerCategory(p)``634851
omodulus`0`n`()->P`dModMonic(R,P)``634906
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``634944
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``634983
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``635022
omoebiusMu`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``635061
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``635337
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``635405
omonic?`1`n`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``635508
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``635721
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``635914
omonicDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``636056
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`n`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)``636235
omonicLeftDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`636480
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`636704
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``636974
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``637126
omonicRightDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`637350
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`637576
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``637848
omonoidOperation`2`n`((T,T)->T,T)->_$`dMonoidOperation(T)``638107
omonomRDE`3`n`(Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),c:Fraction(UP),t:UP),"failed")`pTranscendentalRischDE(F,UP)``638227
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)``638550
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``638917
omonom`2`n`(Basis,R)->_$`cFreeModuleCat(R,Basis)``639012
omonom`2`n`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``639131
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`cAbelianMonoidRing(R,E)``639226
omonomial?`1`n`(_$)->Boolean`cFreeModuleCat(R,Basis)``639293
omonomial?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``639380
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``639453
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``639520
omonomial?`1`n`(_$)->Boolean`dMonoidRing(R,M)``639561
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``639628
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``639790
omonomial`2`n`(A,S)->_$`cIndexedDirectProductCategory(A,S)``640006
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,Q)``640114
omonomial`2`n`(R,E)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,E)->_$`cAbelianMonoidRing(R,E)``640215
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``640310
omonomial`2`n`(R,M)->_$`dMonoidRing(R,M)``640352
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``640437
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`n`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``640479
omonomial`2`n`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``640605
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(Expon))->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``640731
omonomial`3`n`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``640821
omonomial`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``640917
omonomial`3`n`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``640992
omonomial`3`n`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``641046
omonomial`3`n`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``641098
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`cFreeModuleCat(R,Basis)``641259
omonomials`1`n`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``641344
omonomials`1`n`(_$)->List(_$)`dMonoidRing(R,M)``641522
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`641604
omore?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``641811
omoreAlgebraic?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``641890
omoreAlgebraic?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``642169
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``642448
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``642529
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``642609
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``642735
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``642985
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``643231
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)``643400
omulmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``643575
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``643651
omultiEuclideanTree`2`n`(List(R),R)->List(R)`pCRApackage(R)``643696
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`n`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``643750
omultinomial`2`n`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``643953
omultiple?`1`n`(_$)->Boolean`dPattern(R)``644062
omultiple`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``644207
omultiple`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``644513
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``644783
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``644993
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``645211
omultiplyExponents`2`n`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``645372
omultiplyExponents`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``645505
omultiplyExponents`2`n`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``645673
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``645798
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``645916
omultiset`0`n`()->_$`dMultiset(S)``646057
omultiset`1`n`(List(S))->_$`dMultiset(S)``646138
omultiset`1`n`(S)->_$`dMultiset(S)``646214
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``646284
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``646385
omultivariate`2`n`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``646486
omultivariate`2`n`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``646618
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``646750
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``646798
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``646899
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`n`(_$)->V`cRecursivePolynomialCategory(R,E,V)``647038
omvar`1`n`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``647261
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``647414
oname`1`n`(_$)->Identifier`dBinding``647453
oname`1`n`(_$)->Identifier`dHeadAst``647512
oname`1`n`(_$)->Identifier`dOverloadSet``647585
oname`1`n`(_$)->Identifier`dProperty``647654
oname`1`n`(_$)->Identifier`dSignatureAst``647714
oname`1`n`(_$)->Name`cFileCategory(Name,S)``647775
oname`1`n`(_$)->S`cOperatorCategory(S)``647845
oname`1`n`(_$)->SpadAst`dAttributeAst``647908
oname`1`n`(_$)->String`cFileNameCategory``648033
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``648095
oname`1`n`(_$)->Symbol`dRuleCalled(f)``648136
oname`1`n`(_$)->_$`dSymbol``648177
onan?`1`n`(_$)->Boolean`dDoubleFloat``648237
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`n`(_$,_$)->_$`cBitAggregate``648337
onand`2`n`(_$,_$)->_$`dBoolean``648442
onary?`1`n`(_$)->Boolean`dBasicOperator``648521
onativeModuleExtension`0`n`()->String`pSystem``648585
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``648692
oncols`1`n`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``648769
onegative?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
onegative?`1`n`(_$)->Boolean`cIntervalCategory(R)``648844
onegative?`1`n`(_$)->Boolean`cOrderedAbelianGroup``648975
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``649045
oneutralValue`1`n`(_$)->T`cMonoidOperatorCategory(T)``649147
onewLine`0`n`()->String`pDisplayPackage``649236
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``649296
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``649335
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``649442
onew`0`n`()->_$`dDataArray(N,T)``649486
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``649565
onew`0`n`()->_$`dPatternMatchResult(R,S)``649619
onew`0`n`()->_$`dSubSpace(n,R)``649673
onew`0`n`()->_$`dSubSpaceComponentProperty``649707
onew`0`n`()->_$`dSymbol``649741
onew`0`n`()->_$`dTexFormat``649809
onew`1`n`(R)->_$`dSquareMatrix(ndim,R)``649980
onew`1`n`(_$)->_$`dSymbol``650114
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`n`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``650191
onew`3`n`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``650262
onew`3`n`(String,String,String)->_$`cFileNameCategory``650354
onewline`0`n`()->_$`dCharacter``650666
onextColeman`3`n`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``650723
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``651044
onextItem`1`n`(A)->Maybe(A)`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Maybe(S)`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Maybe(S)`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`n`(_$)->Maybe(_$)`cStepThrough``651751
onextLatticePermutation`3`n`(List(PositiveInteger),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``651843
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``652281
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``653117
onextPartition`3`n`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``654111
onextPartition`3`n`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``654503
onextPrime`1`n`(I)->I`pIntegerPrimesPackage(I)``654895
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``654979
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``656040
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``656864
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``656957
onext`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``658001
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``658227
onextsubResultant2`4`n`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`658460
onil?`1`n`(_$)->Boolean`dSyntax``658712
onilFactor`2`n`(R,Integer)->_$`dFactored(R)``658792
onil`0`n`()->_$`dList(S)``658944
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`658981
onoKaratsuba`2`n`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``659253
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``659343
onoValueMode`0`n`()->_$`dInternalTypeForm``659586
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`n`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`659696
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``659825
onode`3`n`(_$,S,_$)->_$`cBinaryTreeCategory(S)``659938
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`n`(_$)->List(_$)`cRecursiveAggregate(S)``660077
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``660158
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`660198
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``660325
ononcommutativeJordanAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``660452
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``660553
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`n`(_$,_$)->_$`cBitAggregate``660654
onor`2`n`(_$,_$)->_$`dBoolean``660757
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``660834
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``660875
onormInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``660918
onorm`1`n`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``661025
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``661143
onorm`1`n`(_$)->F`cFiniteAlgebraicExtensionField(F)``661274
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``661416
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``661478
onorm`1`n`(_$)->R`cComplexCategory(R)``661541
onorm`1`n`(_$)->R`cFiniteRankAlgebra(R,UP)``661602
onorm`1`n`(_$)->R`cOctonionCategory(R)``661717
onorm`1`n`(_$)->R`cQuaternionCategory(R)``661827
onorm`1`n`(_$)->_$`cRealNumberSystem``661923
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``661980
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``662108
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``662236
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``662365
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``662494
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``662566
onorm`2`n`(_$,Kernel(_$))->_$`dAlgebraicNumber``662661
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``662795
onorm`2`n`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``662929
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``663064
onorm`2`n`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`663199
onormal01`0`n`()->Float`pRandomFloatDistributions``663486
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``663525
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``663690
onormal?`1`n`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`663789
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``664072
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``664205
onormalElement`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`664304
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``664752
onormalForm`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`664863
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``665036
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``665276
onormalise`1`n`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``665316
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``665481
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``665553
onormalize`1`n`(F)->F`pElementaryFunctionStructurePackage(R,F)``665664
onormalize`1`n`(_$)->_$`dFloat``665784
onormalize`2`n`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``665853
onormalize`2`n`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``665995
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``666101
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``666301
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``666511
onormalized?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``666666
onormalizedAssociate`2`n`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``666850
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`667174
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``667374
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(S)->S`xBooleanLogic&(S)``0
onot`1`n`(_$)->_$`cBooleanLogic``667574
onot`1`n`(_$)->_$`dOutputForm``667642
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``667698
onothing`0`n`()->_$`dMaybe(T)``667781
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)``667843
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``667878
onrows`1`n`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``667952
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:Integer)))`pMultivariateSquareFree(E,OV,R,P)``668024
onthCoef`2`n`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``668062
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``668144
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``668228
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`cFreeMonoidCategory(S)``668312
onthExponent`2`n`(_$,Integer)->Integer`dFactored(R)``668396
onthFactor`2`n`(_$,Integer)->R`dFactored(R)``668610
onthFactor`2`n`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``668889
onthFactor`2`n`(_$,Integer)->S`cFreeMonoidCategory(S)``668968
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``669051
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``669134
onthFlag`2`n`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``669217
onthFractionalTerm`2`n`(_$,Integer)->_$`dPartialFraction(R)``669439
onthRootIfCan`2`n`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``669606
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``669717
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`n`(_$,Integer)->_$`cRadicalCategory``670007
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``670075
onull?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``670131
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,ShallowlyMutableAggregate(R))`670212
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,ShallowlyMutableAggregate(QF))`670298
onullSpace`1`n`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`670384
onullSpace`1`n`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`670470
onullSpace`1`n`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`670556
onull`1`n`(_$)->Boolean`dList(S)``670643
onullary?`1`n`(_$)->Boolean`dBasicOperator``670707
onullary`1`n`(A)->()->A`pMappingPackage1(A)``670765
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``670849
onullity`1`n`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`670982
onullity`1`n`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`671115
onullity`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`671248
onumFunEvals3D`0`n`()->Integer`dPlot3D``671381
onumFunEvals`0`n`()->Integer`dPlot``671450
onumber?`1`n`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`671516
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``671571
onumberOfComponents`0`n`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``671619
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``671711
onumberOfComponents`1`n`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``671803
onumberOfComposites`1`n`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``671998
onumberOfComputedEntries`1`n`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``672464
onumberOfCycles`1`n`(_$)->NonNegativeInteger`dPermutation(S)``672643
onumberOfDivisors`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``672745
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``672938
onumberOfFactors`1`n`(_$)->NonNegativeInteger`dFactored(R)``673227
onumberOfFractionalTerms`1`n`(_$)->Integer`dPartialFraction(R)``673313
onumberOfHues`0`n`()->PositiveInteger`dColor``673454
onumberOfImproperPartitions`2`n`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``673537
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``673975
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``674141
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`cFreeModuleCat(R,Basis)``674239
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`dMonoidRing(R,M)``674319
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``674430
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``674569
onumberOfVariables`2`n`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`n`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumer`1`n`(_$)->A`dLocalAlgebra(A,R,S)``674714
onumer`1`n`(_$)->M`dLocalize(M,R,S)``674771
onumer`1`n`(_$)->S`cQuotientFieldCategory(S)``674828
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``674899
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``675009
onumer`1`n`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`675119
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``675358
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`n`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`675430
onumerator`1`n`(_$)->_$`cQuotientFieldCategory(S)``675508
onumerators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``675594
onumericIfCan`1`n`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`675792
onumericIfCan`1`n`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`675917
onumericIfCan`1`n`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`676042
onumericIfCan`2`n`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`676167
onumericIfCan`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`676325
onumericIfCan`2`n`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`676482
onumeric`1`n`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`676639
onumeric`1`n`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`676706
onumeric`1`n`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`676773
onumeric`1`n`(S)->Float`pNumeric(S)``676840
onumeric`2`n`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`676907
onumeric`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`677007
onumeric`2`n`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`677106
onumeric`2`n`(S,PositiveInteger)->Float`pNumeric(S)``677205
oobj`1`n`(_$)->None`dAny``677305
oobjects`1`n`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``677457
ooblateSpheroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``677688
oocton`2`n`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``678001
oocton`8`n`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``678109
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`n`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`678191
oodd?`1`n`(_$)->Boolean`cIntegerNumberSystem``678258
oodd?`1`n`(_$)->Boolean`dPermutation(S)``678332
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``678465
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``678608
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``678751
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``678894
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``679037
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``679098
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``679424
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``679798
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``679885
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``680003
oone?`1`n`(S)->Boolean`xMonadWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xMonoid&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`n`(_$)->Boolean`cMonadWithUnit``680137
oone?`1`n`(_$)->Boolean`cMonoid``680197
oone?`1`n`(_$)->Boolean`dArity``680252
oone?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``680325
ooneDimensionalArray`1`n`(List(S))->_$`dOneDimensionalArray(S)``680431
ooneDimensionalArray`2`n`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``680518
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``680615
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``680688
oopen`1`n`(Name)->_$`cFileCategory(Name,S)``680763
oopen`2`n`(Name,String)->_$`cFileCategory(Name,S)``680827
ooperations`1`n`(S)->List(OverloadSet)`xConstructorCategory&(S)``0
ooperations`1`n`(_$)->List(OverloadSet)`cConstructorCategory``680941
ooperator`1`n`(BasicOperator)->BasicOperator`cExpressionSpace``681104
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``681216
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``681448
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``681618
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``681708
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``681880
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``681959
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``682071
ooperator`1`n`(Symbol)->_$`dBasicOperator``682249
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``682329
ooperator`1`n`(_$)->SpadAst`dReduceAst``682392
ooperator`2`n`(S,Arity)->_$`dTermAlgebraOperator(S)``682461
ooperator`2`n`(Symbol,Arity)->_$`dBasicOperator``682549
ooperator`2`n`(Symbol,NonNegativeInteger)->_$`dBasicOperator``682629
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`n`(_$)->List(BasicOperator)`cExpressionSpace``682704
oopeval`2`n`(BasicOperator,M)->M`dModuleOperator(R,M)``682821
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`n`(_$,_$)->Boolean`cAbelianMonoid``682874
ooption?`2`n`(List(_$),Symbol)->Boolean`dDrawOption``682958
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``683159
ooption`2`n`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``683345
ooptional?`1`n`(_$)->Boolean`dPattern(R)``683488
ooptional`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``683592
ooptional`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``683766
ooptions`1`n`(_$)->List(DrawOption)`dThreeDimensionalViewport``683905
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``684134
ooptions`2`n`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``684362
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``684645
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``684930
oor`2`n`(S,S)->S`xBooleanLogic&(S)``0
oor`2`n`(_$,_$)->_$`cBooleanLogic``685044
oor`2`n`(_$,_$)->_$`dOutputForm``685115
oorbit`2`n`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``685171
oorbit`2`n`(_$,S)->Set(S)`cPermutationCategory(S)``685376
oorbit`2`n`(_$,S)->Set(S)`dPermutationGroup(S)``685563
oorbit`2`n`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``685751
oorbits`1`n`(_$)->Set(Set(S))`dPermutationGroup(S)``685854
oord`1`n`(_$)->NonNegativeInteger`dCharacter``685989
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``686130
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``686167
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``686204
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``686241
oorder`1`n`(_$)->Integer`cFloatingPointSystem``686397
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``686519
oorder`1`n`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``686556
oorder`1`n`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``686762
oorder`1`n`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``686879
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``686975
oorder`1`n`(_$)->NonNegativeInteger`dPermutation(S)``687131
oorder`1`n`(_$)->NonNegativeInteger`dPermutationGroup(S)``687218
oorder`1`n`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``687283
oorder`1`n`(_$)->PositiveInteger`cFiniteFieldCategory``687406
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``687542
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``687657
oorder`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``687741
oorder`2`n`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``687864
oorder`2`n`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`688016
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``688182
oorder`3`n`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``688223
oorthonormalBasis`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``688284
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`n`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`688449
ooutlineRender`2`n`(_$,String)->Void`dThreeDimensionalViewport``688584
ooutputArgs`4`n`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``688986
ooutputAsFortran`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``689112
ooutputAsFortran`1`n`(OutputForm)->Void`pSpecialOutputPackage``689282
ooutputAsFortran`2`n`(String,OutputForm)->Void`pSpecialOutputPackage``689356
ooutputAsScript`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``689505
ooutputAsScript`1`n`(OutputForm)->Void`pSpecialOutputPackage``689693
ooutputAsTex`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``689845
ooutputAsTex`1`n`(OutputForm)->Void`pSpecialOutputPackage``690006
ooutputBinaryFile`1`n`(FileName)->_$`dOutputBinaryFile``690130
ooutputBinaryFile`1`n`(String)->_$`dOutputBinaryFile``690250
ooutputFixed`0`n`()->Void`dFloat``690370
ooutputFixed`1`n`(NonNegativeInteger)->Void`dFloat``690485
ooutputFloating`0`n`()->Void`dFloat``690618
ooutputFloating`1`n`(NonNegativeInteger)->Void`dFloat``690801
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``690956
ooutputForm`1`n`(Integer)->_$`dOutputForm``691028
ooutputForm`1`n`(String)->_$`dOutputForm``691094
ooutputForm`1`n`(Symbol)->_$`dOutputForm``691159
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``691224
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``691404
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``691524
ooutputGeneral`0`n`()->Void`dFloat``692109
ooutputGeneral`1`n`(NonNegativeInteger)->Void`dFloat``692300
ooutputList`1`n`(List(Any))->Void`pOutputPackage``692416
ooutputSpacing`1`n`(NonNegativeInteger)->Void`dFloat``692619
ooutput`0`n`()->_$`dIOMode``692759
ooutput`1`n`(OutputForm)->Void`pOutputPackage``692823
ooutput`1`n`(String)->Void`pOutputPackage``692964
ooutput`2`n`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`693100
ooutput`2`n`(String,OutputForm)->Void`pOutputPackage``693190
oover`2`n`(_$,_$)->_$`dOutputForm``693358
ooverbar`1`n`(_$)->_$`dOutputForm``693450
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``693518
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`cFreeMonoidCategory(S)``693604
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``693801
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``693941
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``694027
opack!`1`n`(_$)->_$`dKeyedAccessFile(Entry)``694115
opack!`1`n`(_$)->_$`dLibrary``694201
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``694287
opackage`0`n`()->_$`dConstructorKind``694376
opade`3`n`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``694430
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``694650
opade`4`n`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``694953
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``695256
opadicFraction`1`n`(_$)->_$`dPartialFraction(R)``695571
opadicallyExpand`2`n`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``695838
opair?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``695966
opair`2`n`(S,T)->_$`dPair(S,T)``696045
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))`696116
opalgLODE0`7`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`696296
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))`696531
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)``696659
opalgRDE0`8`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``697118
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``697636
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``698036
opalgextint0`7`n`(F,Kernel(F),Kernel(F),F,Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``698289
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``698706
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``698914
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``699114
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``699286
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``699589
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``699713
opalglimint0`6`n`(F,Kernel(F),Kernel(F),List(F),F,SparseUnivariatePolynomial(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pGenusZeroIntegration(R,F,L)``699861
opalglimint0`7`n`(F,Kernel(F),Kernel(F),List(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pGenusZeroIntegration(R,F,L)``700213
opalglimint`4`n`(F,Kernel(F),Kernel(F),List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pPureAlgebraicIntegration(R,F,L)``700627
oparabolicCylindrical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``700909
oparabolic`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``701153
oparaboloidal`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``701360
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``701615
oparameters`1`n`(_$)->List(Identifier)`dAnonymousFunction``701704
oparameters`1`n`(_$)->List(ParameterAst)`dHeadAst``701777
oparametric?`1`n`(_$)->Boolean`dPlot``701866
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`cExpressionSpace``701936
oparen`1`n`(List(_$))->_$`dOutputForm``702219
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`cExpressionSpace``702347
oparen`1`n`(_$)->_$`dOutputForm``702570
oparent`1`n`(_$)->_$`dSubSpace(n,R)``702645
oparents`1`n`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``702828
oparseString`1`n`(String)->_$`dInputForm``702931
oparse`1`n`(String)->List(Syntax)`pSpadParser``703010
opart?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
opart?`2`n`(_$,_$)->Boolean`cSetAggregate(S)``703340
opartialDenominators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``703474
opartialFraction`2`n`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``703695
opartialFraction`2`n`(R,Factored(R))->_$`dPartialFraction(R)``703846
opartialFraction`3`n`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``704009
opartialNumerators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``704241
opartialQuotients`1`n`(_$)->Stream(R)`dContinuedFraction(R)``704456
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``704679
oparticularSolution`2`n`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``704729
oparticularSolution`2`n`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``704831
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``704933
opartition`1`n`(I)->I`pIntegerCombinatoricFunctions(I)``705252
opartition`1`n`(List(PositiveInteger))->_$`dPartition``705433
opartitions`1`n`(NonNegativeInteger)->Stream(_$)`dPartition``705514
oparts`1`n`(_$)->List(PositiveInteger)`dPartition``705596
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``705700
opastel`1`n`(Color)->_$`dPalette``705847
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)``705943
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)``706198
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`706512
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``706713
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``706904
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``707086
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``707278
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`707457
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``707642
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)``707829
opatternMatch`3`n`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``708046
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)``708351
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)``708608
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``708989
opattern`1`n`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``709180
opdct`1`n`(_$)->PositiveInteger`dPartition``709283
operfectNthPower?`2`n`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``709436
operfectNthRoot`1`n`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``709554
operfectNthRoot`2`n`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``709717
operfectSqrt`1`n`(I)->Union(I,"failed")`pIntegerRoots(I)``709857
operfectSquare?`1`n`(I)->Boolean`pIntegerRoots(I)``709985
opermanent`1`n`(SquareMatrix(n,R))->R`pPermanent(n,R)``710096
opermutationGroup`1`n`(List(Permutation(S)))->_$`dPermutationGroup(S)``711341
opermutationRepresentation`1`n`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``711453
opermutationRepresentation`1`n`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``711637
opermutationRepresentation`2`n`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``711873
opermutationRepresentation`2`n`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``712082
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``712235
opermutation`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``712393
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`n`(_$,_$)->_$`cCombinatorialFunctionCategory``712539
opermutations`1`n`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``712695
operspective`2`n`(_$,String)->Void`dThreeDimensionalViewport``712801
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``713054
ophysicalLength!`2`n`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``713310
ophysicalLength`1`n`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``713427
opi`0`n`()->F`pElementaryFunction(R,F)``713529
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`cTranscendentalFunctionCategory``713579
opi`0`n`()->_$`dPi``713630
opile`1`n`(List(_$))->_$`dOutputForm``713683
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`n`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``713883
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``714035
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``714415
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``714876
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``715093
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``715310
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``715427
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``715543
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``715631
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``715760
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``715798
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``715836
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``715978
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``716127
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``716317
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``716396
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``716517
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``716693
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``716937
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``716991
oplusInfinity`0`n`()->OrderedCompletion(Integer)`pInfinity``717181
oplusInfinity`0`n`()->_$`dOrderedCompletion(R)``717233
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``717281
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``717399
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))`717524
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))`717735
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))`717861
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``718016
opoint?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``718089
opointColorDefault`0`n`()->Palette`pViewDefaultsPackage``718253
opointColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``718341
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``718451
opointColor`1`n`(Float)->_$`dDrawOption``718677
opointColor`1`n`(Palette)->_$`dDrawOption``718820
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``718991
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``719111
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``719259
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``719440
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``719601
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``719864
opointSizeDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``719913
opointSizeDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``720003
opoint`1`n`(List(R))->_$`cPointCategory(R)``720103
opoint`1`n`(Point(R))->_$`cThreeSpaceCategory(R)``720216
opoint`1`n`(_$)->Point(R)`cThreeSpaceCategory(R)``720336
opoint`2`n`(_$,List(R))->_$`cThreeSpaceCategory(R)``720516
opoint`2`n`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``720766
opoint`2`n`(_$,Point(R))->_$`cThreeSpaceCategory(R)``720928
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``721170
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``721508
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``721747
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``722011
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``722050
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``722524
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`n`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`722632
opolar`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``722747
opole?`1`n`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``722959
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``723034
opolyPart`1`n`(_$)->UP`dFullPartialFractionExpansion(F,UP)``723173
opolyRDE`5`n`(UP,UP,UP,Integer,(UP)->UP)->Union(ans:Record(ans:UP,nosol:Boolean),eq:Record(b:UP,c:UP,m:Integer,alpha:UP,beta:UP))`pTranscendentalRischDE(F,UP)``723240
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``723790
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``724167
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``724558
opolygamma`2`n`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``724651
opolygamma`2`n`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``724733
opolygamma`2`n`(_$,_$)->_$`cSpecialFunctionCategory``724815
opolygon?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``724949
opolygon`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``725099
opolygon`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``725278
opolygon`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``725507
opolygon`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``725863
opolynomial`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``726023
opolynomial`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``726144
opolynomial`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``726265
opolynomial`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``726413
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``726561
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`n`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``726600
opop!`1`n`(_$)->S`cStackAggregate(S)``726757
oport`1`n`(SingleInteger)->_$`dPortNumber``726977
oposition!`2`n`(_$,SingleInteger)->SingleInteger`dInputBinaryFile``727045
oposition`1`n`(_$)->NonNegativeInteger`cCachableSet``727121
oposition`1`n`(_$)->SingleInteger`dInputBinaryFile``727200
oposition`2`n`((S)->Boolean,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,_$)->Integer`cFiniteLinearAggregate(S)``727277
oposition`2`n`(S,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,BasicType)`727480
oposition`3`n`(CharacterClass,_$,Integer)->Integer`cStringAggregate``727637
oposition`3`n`(S,A,Integer)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`n`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,BasicType)`727777
oposition`3`n`(_$,_$,Integer)->Integer`cStringAggregate``727979
opositive?`1`n`(S)->Boolean`xOrderedAbelianMonoid&(S)``0
opositive?`1`n`(_$)->Boolean`cIntervalCategory(R)``728135
opositive?`1`n`(_$)->Boolean`cOrderedAbelianMonoid``728266
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``728339
opositiveRemainder`2`n`(_$,_$)->_$`cIntegerNumberSystem``728441
opositiveSolve`1`n`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``728564
opositiveSolve`1`n`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``728654
opositiveSolve`2`n`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``728780
opositiveSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``728870
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(_$)->Boolean`cStreamAggregate(S)``729716
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``729930
opostfix`2`n`(_$,_$)->_$`dOutputForm``730086
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,P)``730160
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``730194
opowerAssociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``730468
opowerSum`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``730574
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`730662
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`730751
opowers`1`n`(_$)->List(Pair(PositiveInteger,PositiveInteger))`dPartition``730829
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``730984
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``731061
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``731240
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``731409
oprecision`0`n`()->PositiveInteger`cFloatingPointSystem``731468
oprecision`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`731532
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``731617
opredicate`1`n`(_$)->SpadAst`dSuchThatAst``731770
opredicates`1`n`(_$)->List(Any)`dPattern(R)``731876
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`n`(_$,_$)->Boolean`cStringAggregate``732005
oprefixRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``732237
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``732452
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``732599
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``732779
oprepareDecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``732949
oprepareDecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``733076
oprepareSubResAlgo`3`n`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``733203
opreprocess`3`n`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``733325
opreprocess`3`n`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``733441
opresub`2`n`(_$,_$)->_$`dOutputForm``733557
opresuper`2`n`(_$,_$)->_$`dOutputForm``733639
oprevPrime`1`n`(I)->I`pIntegerPrimesPackage(I)``733725
oprevious`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``733809
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`733996
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`734122
oprimaryDecomp`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl,nv)``734295
oprime?`1`n`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``734411
oprime?`1`n`(I)->Boolean`pIntegerPrimesPackage(I)``734485
oprime?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``735616
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`n`(_$)->Boolean`cUniqueFactorizationDomain``735678
oprimeFactor`2`n`(R,Integer)->_$`dFactored(R)``735842
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`n`(_$)->_$`cFieldOfPrimeCharacteristic``735990
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`n`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``736082
oprime`1`n`(_$)->_$`dOutputForm``736179
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``736271
oprimes`2`n`(I,I)->List(I)`pIntegerPrimesPackage(I)``736351
oprimextendedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``736439
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``736785
oprimintegrate`3`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``737030
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``737236
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``737436
oprimitive?`1`n`(_$)->Boolean`cFiniteFieldCategory``737585
oprimitiveElement`0`n`()->_$`cFiniteFieldCategory``737822
oprimitiveElement`1`n`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``738022
oprimitiveElement`2`n`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`738272
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``738602
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``738991
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``739383
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`n`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``739725
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`739920
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`n`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`740009
oprimitivePart`1`n`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``740132
oprimitivePart`1`n`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`740255
oprimitivePart`1`n`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`740379
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`740510
oprimitivePart`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`740707
oprimlimintfrac`3`n`(Fraction(UP),(UP)->UP,List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pTranscendentalIntegration(F,UP)``740871
oprimlimitedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``741064
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``741420
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`n`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``741454
oprincipalAncestors`1`n`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``741534
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`n`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``741663
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``741881
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``741919
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``741959
oprintHeader`0`n`()->Void`dTheSymbolTable``741998
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``742146
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``742292
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``742442
oprintInfo`2`n`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`n`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``742687
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``742739
oprintTypes`1`n`(_$)->Void`dSymbolTable``742860
oprint`1`n`(OutputForm)->Void`pPrintPackage``742981
oprint`1`n`(_$)->Void`dOutputForm``743092
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``743141
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``743262
oprod`1`n`(_$)->_$`dOutputForm``743438
oprod`2`n`(_$,_$)->_$`dOutputForm``743526
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``743650
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``743812
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``743918
oproduct`2`n`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``744065
oproduct`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``744171
oproduct`2`n`(_$,_$)->_$`cGradedAlgebra(R,E)``744318
oproduct`2`n`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``744750
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``745013
oprolateSpheroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``745123
oprologue`1`n`(_$)->List(String)`dTexFormat``745439
oproperties`1`n`(_$)->AssociationList(String,None)`dBasicOperator``745519
oproperties`1`n`(_$)->List(Property)`dBinding``745620
oproperty`2`n`(Identifier,SExpression)->_$`dProperty``745705
oproperty`2`n`(_$,Identifier)->Maybe(None)`dBasicOperator``745788
oproperty`2`n`(_$,String)->Union(None,"failed")`dBasicOperator``745917
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`n`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`746044
opseudoDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``746237
opseudoDivide`2`n`(polR,polR)->Record(coef:R,quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``746485
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`746601
opseudoRemainder`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``746793
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)``747030
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)``747159
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)``747309
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)``747460
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``747601
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)``747828
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``747992
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)``748228
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``748393
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``748630
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``748829
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``749072
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``749323
optree`1`n`(S)->_$`dPendantTree(S)``749416
optree`2`n`(_$,_$)->_$`dPendantTree(S)``749463
opuiseux`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``749502
opuiseux`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``749685
opuiseux`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``749755
opuiseux`2`n`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``749867
opuiseux`2`n`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``750109
opuiseux`3`n`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``750162
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``750330
opuiseux`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``750552
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``750766
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`n`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``750903
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``751244
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``751384
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``751580
opush!`2`n`(S,_$)->S`cStackAggregate(S)``751728
opushNewContour`2`n`(Binding,_$)->_$`dScope``751990
opush`2`n`(Binding,_$)->_$`dContour``752067
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``752130
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``752175
opushdown`2`n`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``752219
opushdterm`2`n`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``752369
opushucoef`2`n`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``752522
opushuconst`2`n`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``752670
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``752806
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``752849
opushup`2`n`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``752891
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``753049
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``753253
oputProperties`3`n`(Identifier,List(Property),_$)->_$`dEnvironment``753665
oputProperty`4`n`(Identifier,Identifier,SExpression,_$)->_$`dEnvironment``753772
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``753885
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`n`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``754102
oqelt`2`n`(_$,NonNegativeInteger)->T`dDataArray(N,T)``754471
oqelt`3`n`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``754570
oqelt`3`n`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``754764
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``754936
oqinterval`2`n`(R,R)->_$`cIntervalCategory(R)``755048
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``755188
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``755234
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ShallowlyMutableAggregate(Im))`755325
oqsetelt!`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``755577
oqsetelt`3`n`(_$,NonNegativeInteger,T)->T`dDataArray(N,T)``755754
oquadraticForm`1`n`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``755874
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``755974
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``756060
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``756101
oqualifier`1`n`(_$)->SpadAst`dWhereAst``756146
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``756218
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``756257
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``756304
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`n`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``756498
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`n`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``756655
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``756870
oquasiRegular?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``757052
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``757133
oquasiRegular`1`n`(_$)->_$`cXFreeAlgebra(vl,R)``757214
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``757285
oquatern`4`n`(R,R,R,R)->_$`cQuaternionCategory(R)``757356
oqueue`1`n`(List(S))->_$`dQueue(S)``757425
oquickSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``757579
oquoByVar`1`n`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``757702
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`cEuclideanDomain``757971
oquo`2`n`(_$,_$)->_$`dNonNegativeInteger``758080
oquo`2`n`(_$,_$)->_$`dOutputForm``758177
oquote`0`n`()->_$`dCharacter``758234
oquote`1`n`(_$)->_$`dOutputForm``758303
oquoted?`1`n`(_$)->Boolean`dPattern(R)``758373
oquotedOperators`1`n`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``758457
oquotientByP`1`n`(_$)->_$`cPAdicIntegerCategory(p)``758684
oquotient`2`n`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``758759
oquotient`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``758910
orCoord`1`n`(Point(R))->R`pPointPackage(R)``759013
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``759284
oradicalEigenvalues`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``759409
oradicalEigenvector`2`n`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``759563
oradicalEigenvectors`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``759761
oradicalOfLeftTraceForm`0`n`()->List(A)`pAlgebraPackage(R,A)``759942
oradicalRoots`2`n`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``760180
oradicalRoots`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``760332
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(nv,NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(nv,NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl,nv)``760510
oradicalSolve`1`n`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``760828
oradicalSolve`1`n`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``761025
oradicalSolve`1`n`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``761191
oradicalSolve`1`n`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``761402
oradicalSolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``761593
oradicalSolve`2`n`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``761762
oradicalSolve`2`n`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``761955
oradicalSolve`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``762152
oradical`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``762383
oradix`2`n`(Fraction(Integer),Integer)->Any`pRadixUtilities``762451
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``762533
oramified?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``762695
oramified?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``762762
oramifiedAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``762832
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``762899
orandnum`0`n`()->Integer`pRandomNumberSource``762995
orandnum`1`n`(Integer)->Integer`pRandomNumberSource``763060
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``763128
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``763189
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``763245
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``763305
orandom`0`n`()->A`xFiniteSetAggregate&(A,S)``0
orandom`0`n`()->A`xQuotientFieldCategory&(A,S)``0
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
orandom`0`n`()->_$`cFinite``763367
orandom`0`n`()->_$`cIntegerNumberSystem``763429
orandom`0`n`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`763478
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``763528
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``763651
orandom`1`n`(_$)->Permutation(S)`dPermutationGroup(S)``763735
orandom`1`n`(_$)->_$`cIntegerNumberSystem``763871
orandom`1`n`(_$)->_$`dNonNegativeInteger``763942
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``764013
orandom`2`n`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``764180
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``764286
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``764366
orange`1`n`(List(Segment(Float)))->_$`dDrawOption``764485
orange`1`n`(List(Segment(Fraction(Integer))))->_$`dDrawOption``764610
oranges`1`n`(List(Segment(Float)))->_$`dDrawOption``764735
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``764867
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``765021
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``765225
orank`0`n`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``765456
orank`0`n`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``765510
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``765583
orank`1`n`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`765646
orank`1`n`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`765709
orank`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`765772
orank`1`n`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``765835
orank`2`n`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``765978
orank`2`n`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``766092
orarrow`2`n`(_$,_$)->_$`dOutputForm``766206
oratDenom`1`n`(F)->F`pAlgebraicManipulations(R,F)``766278
oratDenom`2`n`(F,F)->F`pAlgebraicManipulations(R,F)``766416
oratDenom`2`n`(F,List(F))->F`pAlgebraicManipulations(R,F)``766532
oratDenom`2`n`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``766658
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``766776
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``767081
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``767307
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``767612
oratPoly`1`n`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``767838
orational?`1`n`(S)->Boolean`pRationalRetractions(S)``767966
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`n`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`768073
orational?`1`n`(_$)->Boolean`cIntegerNumberSystem``768140
orational?`1`n`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`768241
orational?`1`n`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`768357
orational?`1`n`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`768553
orational?`1`n`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`768673
orational?`1`n`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`768747
orationalApproximation`2`n`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``768821
orationalApproximation`2`n`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``768957
orationalApproximation`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``769093
orationalApproximation`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``769271
orationalFunction`2`n`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`769447
orationalFunction`3`n`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`769581
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``769742
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`769861
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``769983
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`770088
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`770203
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`770428
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`770538
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`770650
orationalPoint?`2`n`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``770763
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``770841
orationalPoints`0`n`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`770919
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``771002
orationalPower`1`n`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``771085
orational`1`n`(S)->Fraction(Integer)`pRationalRetractions(S)``771183
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`n`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`771292
orational`1`n`(_$)->Fraction(Integer)`cIntegerNumberSystem``771402
orational`1`n`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`771490
orational`1`n`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`771610
orational`1`n`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`771821
orational`1`n`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`771981
orational`1`n`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`772098
oratpart`1`n`(_$)->F`dIntegrationResult(F)``772213
oravel`1`n`(_$)->List(R)`dCartesianTensor(minix,dim,R)``772290
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``772411
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``772454
oread!`1`n`(_$)->S`cFileCategory(Name,S)``772527
oreadByte!`1`n`(_$)->Maybe(Byte)`cInputByteConduit``772691
oreadBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xInputByteConduit&(S)``0
oreadBytes!`2`n`(_$,ByteBuffer)->NonNegativeInteger`cInputByteConduit``772841
oreadIfCan!`1`n`(_$)->Union(S,"failed")`dFile(S)``773030
oreadIfCan!`1`n`(_$)->Union(String,"failed")`dTextFile``773225
oreadInt16!`1`n`(S)->Maybe(Int16)`xInputByteConduit&(S)``0
oreadInt16!`1`n`(_$)->Maybe(Int16)`cInputByteConduit``773438
oreadInt32!`1`n`(S)->Maybe(Int32)`xInputByteConduit&(S)``0
oreadInt32!`1`n`(_$)->Maybe(Int32)`cInputByteConduit``773600
oreadInt8!`1`n`(S)->Maybe(Int8)`xInputByteConduit&(S)``0
oreadInt8!`1`n`(_$)->Maybe(Int8)`cInputByteConduit``773762
oreadLine!`1`n`(_$)->String`dTextFile``773922
oreadLineIfCan!`1`n`(_$)->Union(String,"failed")`dTextFile``774016
oreadUInt16!`1`n`(S)->Maybe(UInt16)`xInputByteConduit&(S)``0
oreadUInt16!`1`n`(_$)->Maybe(UInt16)`cInputByteConduit``774233
oreadUInt32!`1`n`(S)->Maybe(UInt32)`xInputByteConduit&(S)``0
oreadUInt32!`1`n`(_$)->Maybe(UInt32)`cInputByteConduit``774396
oreadUInt8!`1`n`(S)->Maybe(UInt8)`xInputByteConduit&(S)``0
oreadUInt8!`1`n`(_$)->Maybe(UInt8)`cInputByteConduit``774559
oreadable?`1`n`(_$)->Boolean`cFileNameCategory``774720
oreal?`1`n`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``774811
oreal?`1`n`(F)->Boolean`pTrigonometricManipulations(R,F)``774876
oreal?`1`n`(_$)->Boolean`dFortranScalarType``774941
orealEigenvalues`2`n`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``775027
orealEigenvectors`2`n`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``775254
orealElementary`1`n`(F)->F`pElementaryFunctionStructurePackage(R,F)``775551
orealElementary`2`n`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``775701
orealRoots`2`n`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``775887
orealRoots`3`n`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``776004
orealSolve`1`n`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``776325
orealSolve`1`n`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``776412
orealSolve`2`n`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``776692
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``776786
orealSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``776998
orealSolve`4`n`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``777100
orealZeros`1`n`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``777999
orealZeros`1`n`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``778130
orealZeros`2`n`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``778261
orealZeros`2`n`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``778420
orealZeros`2`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``778579
orealZeros`2`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``778773
orealZeros`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``778967
orealZeros`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``779192
oreal`1`n`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``779417
oreal`1`n`(F)->F`pTrigonometricManipulations(R,F)``779511
oreal`1`n`(_$)->R`cComplexCategory(R)``779605
oreal`1`n`(_$)->R`cOctonionCategory(R)``779658
oreal`1`n`(_$)->R`cQuaternionCategory(R)``779721
orecip`0`n`()->_$`dMoebiusTransform(F)``779790
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xIntegralDomain&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(S)->Union(S,"failed")`xMonoid&(S)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``779888
orecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`779991
orecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``780217
orecip`1`n`(_$)->Union(_$,"failed")`cMonoid``780412
orecip`1`n`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,Q)``780552
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``780666
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``780703
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``780740
orecip`2`n`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``780784
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`n`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``780980
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``781072
orecolor`2`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``781242
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``781340
orecur`1`n`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``781465
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``781576
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``781637
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``781671
ored`0`n`()->_$`dColor``781706
ored`1`n`(_$)->T`cRGBColorModel(T)``781779
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``781836
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)``781973
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``782087
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``782247
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``782376
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``782719
oreduce`1`n`(Fraction(SparseUnivariatePolynomial(R)))->Union(S,"failed")`xComplexCategory&(S,R)``0
oreduce`1`n`(Fraction(UP))->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`782806
oreduce`1`n`(P)->_$`dModMonic(R,P)``782890
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``782928
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(UP)->_$`cMonogenicAlgebra(R,UP)``782968
oreduce`1`n`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``783121
oreduce`1`n`(_$)->_$`dAlgebraicNumber``783252
oreduce`1`n`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`783381
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``783513
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xFiniteAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,_$)->S`cFiniteAggregate(S)``783642
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``783945
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``783985
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``784025
oreduce`3`n`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``784065
oreduce`3`n`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``784235
oreduce`3`n`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``784592
oreduce`3`n`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``784928
oreduce`3`n`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``785258
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``785428
oreduce`3`n`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``785555
oreduce`3`n`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``785688
oreduce`3`n`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``786012
oreduce`3`n`((S,S)->S,A,S)->S`xFiniteAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,_$,S)->S`cFiniteAggregate(S)``786328
oreduce`3`n`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``786734
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`xFiniteAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,_$,S,S)->S`cFiniteAggregate(S)`has(S,BasicType)`786936
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``787306
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``787998
oreduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``788147
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`n`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``788262
oreducedContinuedFraction`2`n`(R,Stream(R))->_$`dContinuedFraction(R)``788533
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``788829
oreducedForm`1`n`(_$)->_$`dContinuedFraction(R)``788881
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``789117
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``789280
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``789418
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``789581
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``789742
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``789850
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`cAbelianMonoidRing(R,E)``789941
oreductum`1`n`(_$)->_$`cFreeModuleCat(R,Basis)``790052
oreductum`1`n`(_$)->_$`cIndexedDirectProductCategory(A,S)``790119
oreductum`1`n`(_$)->_$`cMonogenicLinearOperator(R)``790286
oreductum`1`n`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``790404
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``790522
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``790707
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``790888
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``790928
oreductum`1`n`(_$)->_$`dMonoidRing(R,M)`has(M,OrderedSet)`790968
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``791034
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`n`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``791143
oref`1`n`(S)->_$`dReference(S)``791313
orefine`1`n`(_$)->_$`dPlot3D``791378
orefine`1`n`(_$)->_$`dPlot``791416
orefine`1`n`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``791483
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``791566
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``791970
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``792012
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``792052
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``792092
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``792271
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``792450
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``792754
oreflect`1`n`(ConstructorCall(DomainConstructor))->_$`dDomain``793058
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``793242
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``794088
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`n`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``794364
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``794516
oreify`1`n`(_$)->ConstructorCall(DomainConstructor)`dDomain``794688
oreindex`2`n`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``794759
orelationsIdeal`1`n`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`795007
orelativeApprox`2`n`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``795119
orelativeApprox`3`n`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``795257
orelativeApprox`3`n`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``795398
orelerror`2`n`(_$,_$)->Integer`dFloat``795530
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`cEuclideanDomain``795646
orem`2`n`(_$,_$)->_$`dNonNegativeInteger``795756
orem`2`n`(_$,_$)->_$`dOutputForm``795826
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`n`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`795883
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,FiniteAggregate(S))`796228
oremove!`2`n`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``796384
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``796520
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(S,_$)->_$`cDictionaryOperations(S)`has(_$,FiniteAggregate(S))`796724
oremove!`2`n`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`796865
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``796949
oremove!`3`n`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``797021
oremove!`3`n`(S,_$,Integer)->_$`dMultiset(S)``797316
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`797563
oremoveCosSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``797673
oremoveCoshSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``797852
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`n`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`798035
oremoveDuplicates!`1`n`(_$)->_$`cMultiDictionary(S)``798118
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`n`(_$)->_$`cCollection(S)`AND(has(_$,FiniteAggregate(S)),has(S,BasicType))`798220
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`798310
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`798609
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`798980
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``799331
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``800046
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``800342
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``800653
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``800786
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`801003
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``801369
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``801521
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``801831
oremoveSinSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``802120
oremoveSinhSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``802299
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``802482
oremoveSuperfluousCases`1`n`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``802668
oremoveSuperfluousCases`1`n`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``802774
oremoveSuperfluousQuasiComponents`1`n`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``802880
oremoveSuperfluousQuasiComponents`1`n`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``803062
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``803244
oremoveZeroes`1`n`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``803551
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``804090
oremoveZeroes`2`n`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``804654
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``805118
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,FiniteAggregate(S))`805230
oremove`2`n`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``805474
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,_$)->_$`cCollection(S)`AND(has(_$,FiniteAggregate(S)),has(S,BasicType))`805668
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``805881
oremove`3`n`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``806104
oremove`3`n`(S,_$,Integer)->_$`dMultiset(S)``806384
orename!`2`n`(_$,OutputForm)->_$`cRealClosedField``806616
orename`2`n`(_$,OutputForm)->_$`cRealClosedField``806700
oreopen!`2`n`(_$,String)->_$`cFileCategory(Name,S)``806778
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``806966
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``807108
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``807250
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``807392
orepeating?`2`n`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`807523
orepeating`1`n`(List(S))->_$`dStream(S)``807658
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``807742
oreplace`3`n`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``807930
orepresentationType`0`n`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``808054
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``808211
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->_$`cFramedAlgebra(R,UP)``808350
orepresents`1`n`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``808491
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``808656
orepresents`2`n`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``808740
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``808849
oreseed`1`n`(Integer)->Void`pRandomNumberSource``808945
oresetBadValues`1`n`(_$)->_$`dPattern(R)``809019
oresetNew`0`n`()->Void`dSymbol``809179
oresetVariableOrder`0`n`()->Void`pUserDefinedVariableOrdering``809306
oreset`1`n`(_$)->Void`dThreeDimensionalViewport``809430
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``809650
oreshape`2`n`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``809866
oreshape`2`n`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``809907
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``810027
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``810276
oresolve`1`n`(Hostname)->Maybe(_$)`dIP4Address``810521
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``810590
orest`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``810758
orest`1`n`(_$)->_$`dMagma(VarSet)``810898
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``811056
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``811120
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``811195
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``811329
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``811559
oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``811698
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`811872
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`812059
oresultant`2`n`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`812184
oresultant`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`812277
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``812532
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`812642
oresultantnaif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``812775
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Any)->Union(S,"failed")`pAnyFunctions1(S)``812940
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``813106
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``813150
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`813329
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`813477
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`813625
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`813773
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`813921
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`814069
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(_$)->Union(S,"failed")`cRetractableTo(S)``814217
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Any)->S`pAnyFunctions1(S)``814367
oretract`1`n`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``814531
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`814697
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`814885
oretract`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`815073
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`815261
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`815449
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`815637
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Kernel(S)`xExpressionSpace&(S)``0
oretract`1`n`(S)->Kernel(S)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(_$)->S`cRetractableTo(S)``815825
oretractable?`1`n`(Any)->Boolean`pAnyFunctions1(S)``815960
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``816058
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``816164
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``816291
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``816386
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``816481
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``816577
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``816701
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``816825
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``816953
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(_$)->_$`cDequeueAggregate(S)``817039
oreverse!`1`n`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`817212
oreverse!`1`n`(_$)->_$`dListMonoidOps(S,E,un)``817291
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``817401
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``817595
oreverse`1`n`(_$)->_$`cFiniteLinearAggregate(S)``817664
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``817749
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``817968
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``818165
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`n`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`818360
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``818691
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`n`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`819116
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``819425
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`n`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``820027
orhs`1`n`(_$)->F`dRewriteRule(Base,R,F)``821011
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``821082
orhs`1`n`(_$)->S`dEquation(S)``821138
orhs`1`n`(_$)->SpadAst`dCaseAst``821213
orhs`1`n`(_$)->SpadAst`dHasAst``821290
orhs`1`n`(_$)->SpadAst`dIsAst``821367
orhs`1`n`(_$)->SpadAst`dLetAst``821442
orhs`1`n`(_$)->TypeAst`dColonAst``821525
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`821603
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`821717
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`821831
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``822050
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`822215
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``822434
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``822599
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``822869
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``823139
orightAlternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``823185
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``823399
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``823613
orightDiscriminant`0`n`()->R`cFramedNonAssociativeAlgebra(R)``823773
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``824144
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``824515
orightDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`824819
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`825016
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`n`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`825259
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`825367
orightFactorCandidate`2`n`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``825477
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``825531
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`825815
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`826053
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`826252
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``826488
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``826615
orightOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`826715
orightOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`826774
orightPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``826833
orightPower`2`n`(_$,PositiveInteger)->_$`cMonad``827020
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`827207
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`827396
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`827494
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``827735
orightRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``827976
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`828135
orightRecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``828350
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`n`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``828534
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``828708
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`828907
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``829097
orightTraceMatrix`0`n`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``829288
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``829576
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``829864
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``830074
orightTrim`2`n`(_$,Character)->_$`cStringAggregate``830169
orightTrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``830344
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`830540
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`830667
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``830793
orightZero`1`n`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`830918
oright`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``830977
oright`1`n`(_$)->_$`cBinaryRecursiveAggregate(S)``831053
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``831101
oright`1`n`(_$)->_$`dMagma(VarSet)``831259
oright`1`n`(_$)->_$`dOutputForm``831412
oright`2`n`(_$,Integer)->_$`dOutputForm``831481
orischDE`6`n`(Integer,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(ans:F,right:F,sol?:Boolean)`pElementaryRischDE(R,F)``831568
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)``831933
orischNormalize`2`n`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``832243
ork4`5`n`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``832432
ork4`9`n`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``833075
ork4a`8`n`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``833314
ork4f`6`n`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``833635
ork4qc`14`n`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``834129
ork4qc`7`n`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``834614
oroman`1`n`(Integer)->_$`dRomanNumeral``835078
oroman`1`n`(Symbol)->_$`dRomanNumeral``835139
oromberg`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``835207
orombergo`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``835895
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``836577
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``836614
orootDirectory`0`n`()->String`pSystem``836711
orootKerSimp`3`n`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`836818
orootNormalize`2`n`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``836885
orootOfIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``837090
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(Polynomial(_$))->_$`cAlgebraicallyClosedField``837340
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``837464
orootOf`1`n`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``837532
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``837656
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``837770
orootOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``837890
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``838004
orootOf`2`n`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``838102
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`n`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``838215
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``838343
orootPower`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`838514
orootProduct`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`838672
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``838907
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``839122
orootSimp`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`839245
orootSplit`1`n`(F)->F`pAlgebraicManipulations(R,F)``839477
oroot`1`n`(_$)->_$`dOutputForm``839707
oroot`2`n`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``839782
oroot`2`n`(_$,_$)->_$`dOutputForm``839910
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``839991
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``840231
orootsOf`1`n`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``840415
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``840658
orootsOf`2`n`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``840906
orotate!`1`n`(_$)->_$`cQueueAggregate(S)``841154
orotate`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``841348
orotate`3`n`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``841585
orotatex`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``841941
orotatey`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``842039
orotatez`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``842137
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`842235
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``842409
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`n`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`842527
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`n`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`842771
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`843041
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`n`(_$)->_$`cRealNumberSystem``843183
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``843247
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``843412
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``843519
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``843705
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``843838
orowEchelon`1`n`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`843919
orowEchelon`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`844000
orowEchelon`1`n`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`844081
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``844162
orow`2`n`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``844453
orow`2`n`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``844576
orquo`2`n`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``844692
orquo`2`n`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``844807
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``844889
orquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``844972
orquo`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)``845165
orquo`2`n`(_$,vl)->_$`cXFreeAlgebra(vl,R)``845247
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``845342
orspace`2`n`(Integer,Integer)->_$`dOutputForm``845433
orst`1`n`(_$)->_$`cLazyStreamAggregate(S)``845526
orubiksGroup`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``845716
orule`2`n`(F,F)->_$`dRewriteRule(Base,R,F)``848293
orule`3`n`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``848434
orules`1`n`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``848801
oruleset`1`n`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``848865
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``848941
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``849003
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``850134
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``850615
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``850763
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`850796
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`850931
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`851082
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`851237
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`n`()->_$`cAbelianMonoid``851436
osample`0`n`()->_$`cAggregate``851483
osample`0`n`()->_$`cMonoid``851530
osample`0`n`()->_$`dByte``851577
osample`0`n`()->_$`dCartesianTensor(minix,dim,R)``851633
osample`0`n`()->_$`dInt16``0
osample`0`n`()->_$`dInt32``0
osample`0`n`()->_$`dInt64``0
osample`0`n`()->_$`dInt8``0
osample`0`n`()->_$`dSymbol``851686
osample`0`n`()->_$`dSystemInteger(N)``851732
osample`0`n`()->_$`dSystemNonNegativeInteger(N)``851788
osample`0`n`()->_$`dUInt16``0
osample`0`n`()->_$`dUInt32``0
osample`0`n`()->_$`dUInt64``0
osample`0`n`()->_$`dUInt8``0
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``851844
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``851954
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``852085
osaturate`2`n`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``852310
osaturate`3`n`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``852455
osayLength`1`n`(List(String))->Integer`pDisplayPackage``852618
osayLength`1`n`(String)->Integer`pDisplayPackage``852709
osay`1`n`(List(String))->Void`pDisplayPackage``852791
osay`1`n`(String)->Void`pDisplayPackage``852856
oscalarMatrix`1`n`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``852912
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`n`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``853035
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``853160
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``853232
oscale`1`n`(F)->_$`dMoebiusTransform(F)``853333
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``853432
oscale`3`n`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``853530
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``853643
oscanOneDimSubspaces`2`n`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`853954
oscan`3`n`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``854632
oscan`3`n`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``854865
oscan`3`n`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``855244
oscan`3`n`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``855530
oscan`3`n`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``855810
oscan`3`n`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``856043
oscan`3`n`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``856322
oscan`3`n`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``856601
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``856762
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``856901
oscopes`1`n`(_$)->List(Scope)`dEnvironment``857161
oscreenResolution3D`0`n`()->Integer`dPlot3D``857238
oscreenResolution`0`n`()->Integer`dPlot``857319
oscreenResolution`0`n`()->Integer`pGraphicsDefaults``857382
oscreenResolution`1`n`(Integer)->Integer`pGraphicsDefaults``857455
oscript`2`n`(_$,List(List(OutputForm)))->_$`dSymbol``857529
oscript`2`n`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``857848
oscripted?`1`n`(_$)->Boolean`dSymbol``858035
oscripts`1`n`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``858117
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``858179
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``858309
osearch`2`n`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``858368
osec2cos`1`n`(F)->F`pTranscendentalManipulations(R,F)``858588
osecIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``858686
osec`1`n`(F)->F`pElementaryFunction(R,F)``858773
osec`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
osec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``858834
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``858901
osec`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``858968
osec`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``859036
osec`1`n`(_$)->_$`cTrigonometricFunctionCategory``859106
osech2cosh`1`n`(F)->F`pTranscendentalManipulations(R,F)``859159
osechIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``859261
osech`1`n`(F)->F`pElementaryFunction(R,F)``859350
osech`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``859423
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``859506
osech`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``859589
osech`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``859669
osech`1`n`(_$)->_$`cHyperbolicFunctionCategory``859751
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``859816
osecond`1`n`(_$)->T`dPair(S,T)``859936
oseed`0`n`()->Integer`pRandomNumberSource``859999
osegment`1`n`(S)->_$`dUniversalSegment(S)``860052
osegment`1`n`(_$)->S`dRangeBinding(S,T)``860134
osegment`1`n`(_$)->Segment(S)`dSegmentBinding(S)``0
osegment`2`n`(S,S)->_$`cSegmentCategory(S)``860321
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`n`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,FiniteAggregate(S))`860403
oselect!`2`n`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``860562
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``860690
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``860960
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``861228
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,FiniteAggregate(S))`861452
oselect`2`n`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``861687
oselect`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``861867
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``861931
oselect`2`n`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``862027
oselectfirst`1`n`(_$)->A`dProduct(A,B)``862151
oselectsecond`1`n`(_$)->B`dProduct(A,B)``862194
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``862238
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``862494
osemiGroupOperation`1`n`((T,T)->T)->_$`dSemiGroupOperation(T)``862703
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``862832
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``863112
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``863362
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``863531
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``863742
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`863921
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``864116
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``864389
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``864718
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`n`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``864821
oseparateDegrees`1`n`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``864946
oseparateFactors`1`n`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``865098
oseparateFactors`2`n`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``865264
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`865446
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``865486
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`n`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`865652
osequence`1`n`(_$)->SpadAst`dInAst``865785
osequences`1`n`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``865871
osequences`2`n`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``866043
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``866382
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``866617
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``866715
oseriesSolve`4`n`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``867094
oseriesSolve`4`n`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``867203
oseriesSolve`4`n`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``867310
oseriesSolve`4`n`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``867435
oseriesSolve`4`n`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``867772
oseriesSolve`4`n`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``867944
oseriesSolve`4`n`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``868136
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``868295
oseries`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``868391
oseries`1`n`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``868572
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``868664
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``869094
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``869293
oseries`1`n`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``869492
oseries`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``869691
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``869752
oseries`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``869834
oseries`2`n`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``869937
oseries`2`n`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``870177
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``870487
oseries`3`n`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``870668
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``870827
oseries`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``870905
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``871125
oseries`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``871294
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``871506
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``871625
osetClipValue`1`n`(DoubleFloat)->DoubleFloat`pDrawComplex``871738
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``871861
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`n`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``872033
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``872115
osetDifference`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`872277
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``872448
osetEpilogue!`2`n`(_$,List(String))->List(String)`dTexFormat``872525
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``872631
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``872930
osetImagSteps`1`n`(Integer)->Integer`pDrawComplex``873111
osetIntersection`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`873262
osetLength!`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dByteBuffer``873441
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``873559
osetMaxPoints`1`n`(Integer)->Integer`dPlot``873648
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``873734
osetMinPoints`1`n`(Integer)->Integer`dPlot``873823
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``873909
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``874074
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``874403
osetPoly`1`n`(P)->P`dModMonic(R,P)``874773
osetPosition`2`n`(_$,NonNegativeInteger)->Void`cCachableSet``874812
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``874889
osetPrologue!`2`n`(_$,List(String))->List(String)`dTexFormat``874994
osetProperties`2`n`(_$,AssociationList(String,None))->_$`dBasicOperator``875100
osetProperty`3`n`(_$,Identifier,None)->_$`dBasicOperator``875264
osetProperty`3`n`(_$,String,None)->_$`dBasicOperator``875455
osetRealSteps`1`n`(Integer)->Integer`pDrawComplex``875646
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`n`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``875792
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``875868
osetScreenResolution`1`n`(Integer)->Integer`dPlot``875962
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``876038
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``876194
osetTex!`2`n`(_$,List(String))->List(String)`dTexFormat``876540
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``876636
osetUnion`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`876759
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``876927
osetVariableOrder`1`n`(List(Symbol))->Void`pUserDefinedVariableOrdering``877081
osetVariableOrder`2`n`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``877216
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`n`()->_$`cSetAggregate(S)``877392
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`n`(List(S))->_$`cSetAggregate(S)``877471
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`n`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`877581
osetelt`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`877713
osetelt`3`n`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`877855
osetelt`3`n`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`877994
osetelt`3`n`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`878120
osetelt`3`n`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`878259
osetelt`3`n`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`878395
osetelt`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ShallowlyMutableAggregate(Im))`878523
osetelt`3`n`(_$,Symbol,Any)->Any`dLibrary``878712
osetelt`3`n`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`878839
osetelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(S,List(Integer),List(Integer),S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``879219
osetelt`4`n`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``879391
osetfirst!`2`n`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`879693
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`n`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`879780
osetleaves!`2`n`(_$,List(S))->_$`dBalancedBinaryTree(S)``879872
osetleft!`2`n`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`879978
osetnext!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`880055
osetprevious!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`880187
osetref`2`n`(_$,S)->S`dReference(S)``880327
osetrest!`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`880403
osetrest!`3`n`(_$,Integer,_$)->_$`dStream(S)``880487
osetright!`2`n`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`880607
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`n`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``880685
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`n`(_$,S)->S`cRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`880889
osh`2`n`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`880963
osh`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`881040
oshade`1`n`(Point(R))->R`pPointPackage(R)``881167
oshade`1`n`(_$)->Integer`dPalette``881496
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``881578
oshallowExpand`1`n`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``881621
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``881668
oshape`1`n`(_$)->Partition`dYoungDiagram``881936
oshellSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``881998
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``882121
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``882183
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``882266
oshift`1`n`(F)->_$`dMoebiusTransform(F)``882380
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``882479
oshift`2`n`(_$,Integer)->_$`dFloat``882577
oshift`2`n`(_$,Integer)->_$`dNonNegativeInteger``882651
oshift`2`n`(_$,_$)->_$`cIntegerNumberSystem``882709
oshowAll?`0`n`()->Boolean`dStream(S)`has(S,SetCategory)`882769
oshowAllElements`1`n`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`882868
oshowClipRegion`2`n`(_$,String)->Void`dThreeDimensionalViewport``882962
oshowRegion`2`n`(_$,String)->Void`dThreeDimensionalViewport``883214
oshowSummary`1`n`(_$)->Void`dDomain``883456
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``883545
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``883614
oshrinkable`1`n`(Boolean)->Boolean`dFlexibleArray(S)``0
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``883861
oshuffle`2`n`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``883981
oshufflein`2`n`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``884190
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``884338
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``884384
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``884430
osign`1`n`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``884478
osign`1`n`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``884559
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``884639
osign`1`n`(S)->Integer`xOrderedAbelianGroup&(S)``0
osign`1`n`(_$)->Integer`cOrderedAbelianGroup``884675
osign`1`n`(_$)->Integer`dPermutation(S)``884797
osign`2`n`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``884893
osign`3`n`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``884985
osign`3`n`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``885111
osign`4`n`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``885242
osign`4`n`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``885398
osignatureAst`2`n`(Identifier,Signature)->_$`dSignatureAst``885618
osignature`1`n`(_$)->Signature`dDefinitionAst``885701
osignature`1`n`(_$)->Signature`dFunctionDescriptor``885890
osignature`1`n`(_$)->Signature`dOperatorSignature``885974
osignature`1`n`(_$)->Signature`dSignatureAst``886031
osignature`2`n`(List(Syntax),Syntax)->_$`dSignature``886105
osimplifyExp`1`n`(F)->F`pTranscendentalManipulations(R,F)``886239
osimplifyLog`1`n`(F)->F`pTranscendentalManipulations(R,F)``886356
osimplifyPower`2`n`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`886567
osimplify`1`n`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``886626
osimplify`1`n`(F)->F`pTranscendentalManipulations(R,F)``886690
osimplify`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`pPropositionalFormulaFunctions1(T)``887167
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`887288
osimpson`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``887592
osimpsono`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``888270
osin2csc`1`n`(F)->F`pTranscendentalManipulations(R,F)``888952
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``889050
osinIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``889135
osin`1`n`(E)->_$`dFourierComponent(E)``889222
osin`1`n`(F)->F`pElementaryFunction(R,F)``889288
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``889347
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``889412
osin`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``889477
osin`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``889543
osin`1`n`(_$)->_$`cTrigonometricFunctionCategory``889611
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``889662
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``889764
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``890207
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``890756
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``890937
osingular?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``891183
osingular?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``891250
osingularAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``891320
osinh2csch`1`n`(F)->F`pTranscendentalManipulations(R,F)``891401
osinhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``891503
osinh`1`n`(F)->F`pElementaryFunction(R,F)``891592
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``891663
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``891744
osinh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``891825
osinh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``891903
osinh`1`n`(_$)->_$`cHyperbolicFunctionCategory``891983
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``892046
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``892161
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`n`(_$,_$)->Boolean`cEuclideanDomain``892235
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``892387
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``892567
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``892747
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``892927
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``893030
osize`0`n`()->Integer`pRandomNumberSource``893126
osize`0`n`()->NonNegativeInteger`cFinite``893190
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xMonogenicAlgebra&(S,R,UP)``0
osize`1`n`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``893254
osize`1`n`(_$)->NonNegativeInteger`cFreeMonoidCategory(S)``893409
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``893476
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``893543
osize`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``893615
oskewSFunction`2`n`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``893657
oslash`2`n`(_$,_$)->_$`dOutputForm``893845
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``893940
osmith`1`n`(M)->M`pSmithNormalForm(R,Row,Col,M)``894134
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``894211
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``894300
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``894346
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``894384
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``894423
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``894692
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``894842
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)``894987
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``895398
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``895634
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``896038
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``896442
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``896687
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``896975
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xComplexCategory&(S,R)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialFactorizationExplicit&(S)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xUnivariatePolynomialCategory&(S,R)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(_$)),SparseUnivariatePolynomial(_$))->Union(List(SparseUnivariatePolynomial(_$)),"failed")`cPolynomialFactorizationExplicit``897220
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`897465
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`897651
osolveLinearlyOverQ`2`n`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``897815
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``897991
osolve`1`n`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``898244
osolve`1`n`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``898454
osolve`1`n`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``898584
osolve`1`n`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``898783
osolve`1`n`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``898920
osolve`1`n`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``899073
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``899213
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``899393
osolve`2`n`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``899430
osolve`2`n`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``899612
osolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``899821
osolve`2`n`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``899932
osolve`2`n`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``900110
osolve`2`n`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``900329
osolve`2`n`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``900465
osolve`2`n`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``900604
osolve`2`n`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``900806
osolve`2`n`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``900957
osolve`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``901176
osolve`2`n`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``901314
osolve`2`n`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``901520
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``901665
osolve`2`n`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``901840
osolve`2`n`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``901985
osolve`2`n`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``902191
osolve`2`n`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``902397
osolve`2`n`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``902514
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``902659
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``902780
osolve`3`n`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``902900
osolve`3`n`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``903684
osolve`3`n`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``904421
osolve`3`n`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``904984
osolve`3`n`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``905384
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)``905784
osolve`3`n`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``906196
osolve`4`n`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``906510
osolve`4`n`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``906783
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``907056
osolve`5`n`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``907291
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``907518
osomeBasis`0`n`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``907698
osort!`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`n`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,ShallowlyMutableAggregate(S)),has(S,OrderedSet))`907760
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`907838
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`n`(List(_$))->List(_$)`dPermutation(S)``907919
osort`1`n`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`908203
osort`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort`2`n`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)``908331
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`n`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``908431
osorted?`1`n`(A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`n`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`908658
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,_$)->Boolean`cFiniteLinearAggregate(S)``908741
osource`1`n`(_$)->List(Syntax)`dSignature``908830
osource`1`n`(_$)->List(TypeAst)`dMappingAst``908898
ospace`0`n`()->_$`dCharacter``908966
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``909016
ospace`1`n`(ThreeSpace(DoubleFloat))->_$`dDrawOption``909209
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``909320
ospherical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``909384
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`n`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,ShallowlyMutableAggregate(S))`909646
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``909911
osplitDenominator`1`n`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``910034
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``910195
osplitDenominator`1`n`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``910356
osplitDenominator`1`n`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``910504
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``910656
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``910858
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``911155
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``911469
osplit`1`n`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``911801
osplit`1`n`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``911977
osplit`1`n`(UP)->Factored(UP)`pAlgFactor(UP)``912153
osplit`2`n`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`912244
osplit`2`n`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`913055
osplit`2`n`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``913214
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``913372
osplit`2`n`(_$,Character)->List(_$)`cStringAggregate``913634
osplit`2`n`(_$,CharacterClass)->List(_$)`cStringAggregate``913721
osqfrFactor`2`n`(R,Integer)->_$`dFactored(R)``913814
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``913966
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Fraction(Integer))->_$`cRealClosedField``914045
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->_$`cRealClosedField``914104
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`cRadicalCategory``914163
osqrt`1`n`(_$)->_$`cRealClosedField``914222
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`n`(_$,Integer)->_$`cPAdicIntegerCategory(p)``914281
osqrt`2`n`(_$,PositiveInteger)->_$`cRealClosedField``914403
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``914473
osquare?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``914648
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`914823
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``914940
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``915361
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`n`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`915532
osquareFreePart`1`n`(_$)->_$`cUniqueFactorizationDomain``915668
osquareFreePart`2`n`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``915781
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``916301
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`916416
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``916470
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``916589
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``916675
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``916781
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``916959
osquareFree`1`n`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``917149
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``917492
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``917745
osquareFree`1`n`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`917919
osquareFree`1`n`(_$)->Factored(_$)`cUniqueFactorizationDomain``918013
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``918198
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``918317
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918490
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918624
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918758
ostack`1`n`(List(S))->_$`dStack(S)``918891
ostandardBasisOfCyclicSubmodule`2`n`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`919036
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``919710
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``920150
ostartTable!`3`n`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``920284
ostartTable!`3`n`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``920410
ostartTableGcd!`3`n`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``920536
ostartTableGcd!`3`n`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`n`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``920662
ostartTableInvSet!`3`n`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``920791
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``920864
ostep`1`n`(_$)->SpadAst`dStepAst``921006
ostirling1`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``921135
ostirling2`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``921233
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``921333
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``921607
ostopTable!`0`n`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``921902
ostopTable!`0`n`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``921994
ostopTableGcd!`0`n`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``922086
ostopTableGcd!`0`n`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`n`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``922178
ostopTableInvSet!`0`n`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseIntegralLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`n`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`n`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`n`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?reg`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?sqfreg`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetreg`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetsqfreg`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`n`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`n`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostring?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``922273
ostring`1`n`(DoubleFloat)->_$`dString``922355
ostring`1`n`(Identifier)->_$`dString``922437
ostring`1`n`(Integer)->_$`dString``922518
ostring`1`n`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``922600
ostring`1`n`(_$)->String`dSymbol``922723
ostring`1`n`(_$)->_$`dOutputForm``922826
ostrongGenerators`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``922887
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``922972
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``923258
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``923420
ostructuralConstants`0`n`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``923559
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``923807
ostructuralConstants`1`n`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``924055
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``924346
ostructuralConstants`2`n`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``924603
ostructuralConstants`2`n`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``925043
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``925483
osturmSequence`1`n`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``925531
osturmVariationsOf`1`n`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`925605
ostyle`1`n`(String)->_$`dDrawOption``925758
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``925934
osubCase?`2`n`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``926136
osubCase?`2`n`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``926250
osubHeight`1`n`(_$)->Integer`dOutputForm``926364
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
osubMatrix`5`n`(_$,Integer,Integer,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``926448
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``926645
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``926839
osubPolSet?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``927068
osubPolSet?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``927198
osubQuasiComponent?`2`n`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``927328
osubQuasiComponent?`2`n`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``927471
osubQuasiComponent?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``927614
osubQuasiComponent?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``927765
osubResultantChain`2`n`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`927925
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``928137
osubResultantGcd`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`928395
osubResultantGcd`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`928768
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``928899
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`929036
osubSet`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``929195
osubTriSet?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``929518
osubTriSet?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``929616
osub`2`n`(_$,_$)->_$`dOutputForm``929714
osubmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``929790
osubresultantSequence`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``929866
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``929981
osubscript`2`n`(_$,List(OutputForm))->_$`dSymbol``930167
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`n`(_$,_$)->Boolean`cSetAggregate(S)``930259
osubspace`0`n`()->_$`dSubSpace(n,R)``930457
osubspace`1`n`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``930496
osubspace`1`n`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``930634
osubspace`2`n`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``930818
osubst`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(_$,Equation(_$))->_$`cExpressionSpace``931028
osubst`2`n`(_$,List(Equation(_$)))->_$`cExpressionSpace``931121
osubst`2`n`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`931255
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`n`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``931378
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``931514
osubstring?`3`n`(_$,_$,Integer)->Boolean`cStringAggregate``931605
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`n`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``931793
osuchThat`2`n`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``931917
osuchThat`2`n`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``932023
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``932179
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``932299
osuchThat`2`n`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``932445
osuchThat`2`n`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``932516
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``932636
osuchThat`3`n`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``932762
osuffix?`2`n`(_$,_$)->Boolean`cStringAggregate``932893
osumOfDivisors`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``933233
osumOfKthPowerDivisors`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``933427
osumSquares`1`n`(Integer)->List(Integer)`pGaussianFactorizationPackage``933683
osum`1`n`(_$)->_$`dOutputForm``933919
osum`2`n`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``934002
osum`2`n`(F,Symbol)->F`pFunctionSpaceSum(R,F)``934107
osum`2`n`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``934207
osum`2`n`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``934282
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``934462
osum`2`n`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``934642
osum`2`n`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``934717
osum`2`n`(_$,_$)->_$`dOutputForm``934897
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``935016
osum`3`n`(_$,_$,_$)->_$`dOutputForm``935093
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``935250
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``935354
osummation`2`n`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``935508
osummation`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``935612
osupDimElseRittWu?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``935766
osupDimElseRittWu?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``935982
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``936198
osup`1`n`(_$)->R`cIntervalCategory(R)``936398
osup`2`n`(_$,_$)->_$`cOrderedAbelianMonoidSup``936461
osuperHeight`1`n`(_$)->Integer`dOutputForm``936567
osuper`2`n`(_$,_$)->_$`dOutputForm``936653
osuperscript`2`n`(_$,List(OutputForm))->_$`dSymbol``936733
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``936829
osupport`1`n`(_$)->Set(S)`cPermutationCategory(S)``936952
osupport`1`n`(_$)->Set(S)`dPermutationGroup(S)``937041
osurface`3`n`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``937115
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`n`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,ShallowlyMutableAggregate(Entry))`937244
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`n`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``937371
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`n`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``937507
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``937637
oswap`1`n`(_$)->_$`dEquation(S)``937703
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``937787
osylvesterSequence`2`n`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``937898
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``938045
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``938225
osymbol?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``938348
osymbol?`1`n`(_$)->Boolean`dPattern(R)``938430
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``938486
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``938602
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``938674
osymbol`1`n`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``938757
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``938880
osymmetric?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``939076
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`n`(_$,_$)->_$`cSetAggregate(S)``939272
osymmetricGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``939704
osymmetricGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``939939
osymmetricPower`2`n`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`940134
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``940319
osymmetricProduct`2`n`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`940541
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``940746
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`n`(_$,_$)->_$`cIntegerNumberSystem``940988
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`n`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`941095
osymmetricTensors`2`n`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``941197
osymmetricTensors`2`n`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``941761
osystemCommand`1`n`(String)->Void`pMoreSystemCommands``942292
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``942510
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``942600
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``942689
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``942848
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``942881
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``942953
otableForDiscreteLogarithm`1`n`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``943159
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``943465
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`n`()->_$`cTableAggregate(Key,Entry)``943772
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``943845
otableau`1`n`(List(List(S)))->_$`dTableau(S)``943962
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``944037
otail`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``944165
otail`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``944301
otan2cot`1`n`(F)->F`pTranscendentalManipulations(R,F)``944481
otan2trig`1`n`(F)->F`pTranscendentalManipulations(R,F)``944579
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``944683
otanIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``944789
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``944876
otanQ`2`n`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``944984
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``945063
otan`1`n`(F)->F`pElementaryFunction(R,F)``945205
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``945267
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``945335
otan`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``945403
otan`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``945472
otan`1`n`(_$)->_$`cTrigonometricFunctionCategory``945543
otanh2coth`1`n`(F)->F`pTranscendentalManipulations(R,F)``945597
otanh2trigh`1`n`(F)->F`pTranscendentalManipulations(R,F)``945699
otanhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``945808
otanh`1`n`(F)->F`pElementaryFunction(R,F)``945897
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``945971
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``946055
otanh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``946139
otanh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``946220
otanh`1`n`(_$)->_$`cHyperbolicFunctionCategory``946303
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``946369
otarget`1`n`(_$)->Syntax`dSignature``946582
otarget`1`n`(_$)->TypeAst`dCoerceAst``946652
otarget`1`n`(_$)->TypeAst`dMappingAst``946720
otarget`1`n`(_$)->TypeAst`dPretendAst``946781
otarget`1`n`(_$)->TypeAst`dRestrictAst``946849
otaylorIfCan`1`n`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``946917
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``947073
otaylorRep`1`n`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``947170
otaylor`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``947287
otaylor`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``947468
otaylor`1`n`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``947536
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``947677
otaylor`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``947759
otaylor`2`n`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``947869
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``948109
otaylor`3`n`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``948278
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``948442
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``948520
otensorProduct`1`n`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``948683
otensorProduct`1`n`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``949028
otensorProduct`2`n`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``949127
otensorProduct`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``949481
oterm`2`n`(S,A)->_$`dIndexedProductTerm(A,S)``949763
oterms`1`n`(_$)->List(IndexedProductTerm(A,S))`cIndexedDirectProductCategory(A,S)``949851
oterms`1`n`(_$)->List(Record(coef:R,monom:M))`dMonoidRing(R,M)``950019
oterms`1`n`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``950179
oterms`1`n`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``950260
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``950442
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``950556
otex`1`n`(_$)->List(String)`dTexFormat``950757
othenBranch`1`n`(_$)->SpadAst`dIfAst``950827
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``950889
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``951165
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``951288
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``951485
otitle`1`n`(String)->_$`dDrawOption``951600
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``951742
otitle`2`n`(_$,String)->Void`dThreeDimensionalViewport``951944
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``952102
otoScale`1`n`(Boolean)->_$`dDrawOption``952256
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``952486
otop!`1`n`(_$)->S`cDequeueAggregate(S)``952692
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``952769
otop`1`n`(_$)->S`cStackAggregate(S)``952957
otoroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``953135
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``953440
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``953480
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``953520
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``953565
otoseInvertible?`2`n`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``953609
otoseInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``953756
otoseInvertibleSet`2`n`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``953903
otoseLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``954054
otoseSquareFreePart`2`n`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``954211
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`n`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``954351
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`n`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``954455
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``954589
ototalGroebner`2`n`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``954693
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``954954
ototalfract`1`n`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``955134
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``955365
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`n`(_$)->List(Kernel(_$))`cExpressionSpace``955401
otrace2PowMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``955506
otraceMatrix`0`n`()->Matrix(R)`cFramedAlgebra(R,UP)``955662
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``955817
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``955972
otracePowMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``956068
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`n`(_$)->F`cFiniteAlgebraicExtensionField(F)``956180
otrace`1`n`(_$)->R`cFiniteRankAlgebra(R,UP)``956324
otrace`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``956434
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``956571
otrace`2`n`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`956668
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``956957
otranscendenceDegree`0`n`()->NonNegativeInteger`cExtensionField(F)``957005
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`n`(_$)->Boolean`cExtensionField(F)``957133
otranscendentalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``957257
otranslate`3`n`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``957295
otranslate`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``957401
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``957621
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(Row)->_$`cMatrixCategory(R,Row,Col)``958085
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``958155
otranspose`1`n`(_$)->_$`dCartesianTensor(minix,dim,R)``958228
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``958469
otranspose`3`n`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``958542
otrapezoidal`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``958818
otrapezoidalo`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``959514
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``960204
otree`1`n`(List(S))->_$`dTree(S)``960541
otree`1`n`(S)->_$`dTree(S)``960616
otree`2`n`(S,List(_$))->_$`dTree(S)``960694
otriangSolve`1`n`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``960783
otriangSolve`2`n`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``960868
otriangSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``960953
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`962026
otriangularSystems`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``962223
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)``962576
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``962920
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``963086
otrigs`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``963437
otrigs`1`n`(F)->F`pTrigonometricManipulations(R,F)``963566
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`n`(_$,Character)->_$`cStringAggregate``963695
otrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``963871
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``964058
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``964162
otrue`0`n`()->_$`cPropositionalLogic``964239
otrunc`2`n`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``964281
otrunc`2`n`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``964400
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`n`(_$)->_$`cRealNumberSystem``964486
otruncate`2`n`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``964575
otruncate`3`n`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``964705
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``964862
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``965008
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``965202
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``965462
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``965712
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``966064
otubePointsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``966413
otubePointsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``966551
otubePoints`1`n`(PositiveInteger)->_$`dDrawOption``966695
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``966912
otubeRadiusDefault`0`n`()->DoubleFloat`pViewDefaultsPackage``967124
otubeRadiusDefault`1`n`(Float)->DoubleFloat`pViewDefaultsPackage``967202
otubeRadius`1`n`(Float)->_$`dDrawOption``967293
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``967439
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``967651
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``967738
otwist`1`n`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``968048
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``968144
otypeForm`1`n`(_$)->InternalTypeForm`dElaboration``968461
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``968538
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``968633
otype`1`n`(_$)->Syntax`dElaboratedExpression``968720
ounary?`1`n`(_$)->Boolean`dBasicOperator``968809
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``968863
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``968914
ounderscore`0`n`()->_$`dCharacter``969128
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``969188
ouniform01`0`n`()->Float`pRandomFloatDistributions``969250
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``969290
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``969329
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``969368
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``969409
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(S,_$)->_$`cSetAggregate(S)``969493
ounion`2`n`(_$,S)->_$`cSetAggregate(S)``969690
ounion`2`n`(_$,_$)->_$`cSetAggregate(S)``969887
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``970014
ounique`1`n`(_$)->List(S)`dMultiset(S)``970082
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`n`(_$)->Boolean`cIntegralDomain``970212
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`n`(_$)->_$`cIntegralDomain``970304
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xIntegralDomain&(S)``0
ounitNormal`1`n`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cIntegralDomain``970375
ounitNormalize`1`n`(_$)->_$`dFactored(R)``970683
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``970884
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``970926
ounitVector`1`n`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`971071
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`971165
ounit`1`n`(List(Float))->_$`dDrawOption``971277
ounit`1`n`(_$)->R`dFactored(R)``971428
ounitsColorDefault`0`n`()->Palette`pViewDefaultsPackage``971495
ounitsColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``971591
ounits`1`n`(_$)->List(Float)`dGraphImage``971709
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``971880
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``972081
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``972358
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``972606
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``972867
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``972981
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``973137
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`973293
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`973477
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``973736
ounivariateSolve`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``973902
ounivariateSolve`1`n`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``974002
ounivariateSolve`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``974168
ounivariateSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``974274
ounivariateSolve`4`n`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``974388
ounivariate`1`n`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``975184
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``975451
ounivariate`2`n`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``975553
ounivariate`2`n`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``975655
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`n`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`975821
ounivariate`2`n`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``975914
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``976118
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``976260
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``976308
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`n`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`976347
ounknownEndian`0`n`()->_$`dByteOrder``976443
ounknown`0`n`()->_$`dKleeneTrivalentLogic``976494
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``976526
ounparse`1`n`(_$)->String`dInputForm``976685
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``976850
ounrankImproperPartitions0`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``977294
ounrankImproperPartitions1`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``977763
ounravel`1`n`(List(R))->_$`dCartesianTensor(minix,dim,R)``978308
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``978431
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``978558
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``978686
oupDateBranches`5`n`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`n`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``978917
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``978952
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``978987
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``979114
oupperBound`1`n`(_$)->Maybe(SpadAst)`dStepAst``979292
oupperCase!`1`n`(_$)->_$`cStringAggregate``979466
oupperCase?`1`n`(_$)->Boolean`dCharacter``979581
oupperCase`0`n`()->_$`dCharacterClass``979692
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`n`(_$)->_$`cStringAggregate``979816
oupperCase`1`n`(_$)->_$`dCharacter``979897
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``980066
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``980188
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``980378
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``980550
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``980770
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``980905
ovalidExponential`3`n`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``980981
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->Integer`dOrdSetInts``981134
ovalue`1`n`(_$)->SExpression`dProperty``981202
ovalue`1`n`(_$)->S`cRecursiveAggregate(S)``981260
ovalue`1`n`(_$)->String`dQueryEquation``981323
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``981421
ovar1StepsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``981492
ovar1StepsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``981760
ovar1Steps`1`n`(PositiveInteger)->_$`dDrawOption``982019
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``982187
ovar2StepsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``982397
ovar2StepsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``982665
ovar2Steps`1`n`(PositiveInteger)->_$`dDrawOption``982924
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``983093
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``983303
ovarList`1`n`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``983371
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``983462
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``983546
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``983637
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``983728
ovarList`1`n`(_$)->List(vl)`cXFreeAlgebra(vl,R)``983832
ovariable?`1`n`(_$)->Boolean`dElaboratedExpression``983913
ovariable`0`n`()->Symbol`dVariable(sym)``983982
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``984026
ovariable`1`n`(_$)->S`cDifferentialVariableCategory(S)``984099
ovariable`1`n`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``984216
ovariable`1`n`(_$)->Symbol`dQueryEquation``984315
ovariable`1`n`(_$)->Symbol`dRangeBinding(S,T)``984418
ovariable`1`n`(_$)->Symbol`dSegmentBinding(S)``0
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``984607
ovariables`1`n`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``984723
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``984839
ovariables`1`n`(_$)->List(Symbol)`cFunctionSpace(R)``984938
ovariables`1`n`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``985016
ovariables`1`n`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``985114
ovariables`1`n`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``985224
ovariables`1`n`(_$)->List(_$)`dPattern(R)``985361
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``985450
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``985792
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``985907
ovconcat`1`n`(List(_$))->_$`dOutputForm``985993
ovconcat`2`n`(_$,_$)->_$`dOutputForm``986070
ovector`1`n`(List(R))->_$`dVector(R)``986150
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`n`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``986214
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``986416
overticalTab`0`n`()->_$`dCharacter``986644
oviewDefaults`0`n`()->Void`pViewDefaultsPackage``986695
oviewDeltaXDefault`0`n`()->Float`dThreeDimensionalViewport``986766
oviewDeltaXDefault`1`n`(Float)->Float`dThreeDimensionalViewport``986886
oviewDeltaYDefault`0`n`()->Float`dThreeDimensionalViewport``987043
oviewDeltaYDefault`1`n`(Float)->Float`dThreeDimensionalViewport``987161
oviewPhiDefault`0`n`()->Float`dThreeDimensionalViewport``987316
oviewPhiDefault`1`n`(Float)->Float`dThreeDimensionalViewport``987410
oviewPosDefault`0`n`()->List(NonNegativeInteger)`pViewDefaultsPackage``987545
oviewPosDefault`1`n`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``987753
oviewSizeDefault`0`n`()->List(PositiveInteger)`pViewDefaultsPackage``987983
oviewSizeDefault`1`n`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``988062
oviewThetaDefault`0`n`()->Float`dThreeDimensionalViewport``988167
oviewThetaDefault`1`n`(Float)->Float`dThreeDimensionalViewport``988264
oviewWriteAvailable`0`n`()->List(String)`pViewDefaultsPackage``988402
oviewWriteDefault`0`n`()->List(String)`pViewDefaultsPackage``988525
oviewWriteDefault`1`n`(List(String))->List(String)`pViewDefaultsPackage``988657
oviewZoomDefault`0`n`()->Float`dThreeDimensionalViewport``988823
oviewZoomDefault`1`n`(Float)->Float`dThreeDimensionalViewport``988904
oviewpoint`1`n`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``989016
oviewpoint`1`n`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``989282
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``989651
oviewpoint`2`n`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``989873
oviewpoint`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``990130
oviewpoint`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``990480
oviewpoint`6`n`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``990877
oviewpoint`6`n`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``991372
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``991867
oviewport3D`0`n`()->_$`dThreeDimensionalViewport``992014
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``992165
ovoidMode`0`n`()->_$`dInternalTypeForm``992207
ovoid`0`n`()->_$`dVoid``992264
ovspace`1`n`(Integer)->_$`dOutputForm``992309
oweakBiRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``992373
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``992542
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``992816
oweight`1`n`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``992948
oweight`1`n`(_$)->NonNegativeInteger`dBasicOperator``993019
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`n`(_$,NonNegativeInteger)->_$`dBasicOperator``993086
oweight`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``993157
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``993394
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`n`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``993434
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`n`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``993558
owhatInfinity`1`n`(_$)->SingleInteger`dOrderedCompletion(R)``993791
owhitePoint`0`n`()->_$`cRGBColorSpace(T)``993926
owholePart`1`n`(_$)->Integer`cRealNumberSystem``994007
owholePart`1`n`(_$)->R`dContinuedFraction(R)``994071
owholePart`1`n`(_$)->R`dPartialFraction(R)``994258
owholePart`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`994343
owholeRadix`1`n`(List(Integer))->_$`dRadixExpansion(bb)``994496
owholeRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``994649
owidth`0`n`()->Integer`dOutputForm``994740
owidth`1`n`(_$)->Integer`dOutputForm``994814
owidth`1`n`(_$)->R`cIntervalCategory(R)``994886
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``994956
owordInGenerators`2`n`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``995112
owordInStrongGenerators`2`n`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``995316
owordsForStrongGenerators`1`n`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``995530
owreath`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``995752
owritable?`1`n`(_$)->Boolean`cFileNameCategory``995916
owrite!`2`n`(_$,S)->S`cFileCategory(Name,S)``996029
owriteByte!`2`n`(_$,Byte)->Maybe(Byte)`cOutputByteConduit``996205
owriteBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xOutputByteConduit&(S)``0
owriteBytes!`2`n`(_$,ByteBuffer)->NonNegativeInteger`cOutputByteConduit``996365
owriteInt8!`2`n`(S,Int8)->Maybe(Int8)`xOutputByteConduit&(S)``0
owriteInt8!`2`n`(_$,Int8)->Maybe(Int8)`cOutputByteConduit``996494
owriteLine!`1`n`(_$)->String`dTextFile``996662
owriteLine!`2`n`(_$,String)->String`dTextFile``996839
owriteUInt8!`2`n`(S,UInt8)->Maybe(UInt8)`xOutputByteConduit&(S)``0
owriteUInt8!`2`n`(_$,UInt8)->Maybe(UInt8)`cOutputByteConduit``996999
owrite`2`n`(_$,String)->String`dThreeDimensionalViewport``997177
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``997416
owrite`3`n`(_$,String,List(String))->String`dThreeDimensionalViewport``997652
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``997954
owrite`3`n`(_$,String,String)->String`dThreeDimensionalViewport``998253
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``998529
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``998802
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``998936
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``999076
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``999196
oxRange`1`n`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``999450
oxRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``999557
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``999664
oxor`2`n`(_$,_$)->_$`cBitAggregate``999722
oxor`2`n`(_$,_$)->_$`dBoolean``999834
oxor`2`n`(_$,_$)->_$`dSingleInteger``999930
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1000040
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`n`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1000295
oyRange`1`n`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1000413
oyRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1000520
oyellow`0`n`()->_$`dColor``1000627
oyoungDiagram`1`n`(List(PositiveInteger))->_$`dYoungDiagram``1000706
oyoungGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1000832
oyoungGroup`1`n`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1000953
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1001090
ozRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1001361
ozag`2`n`(_$,_$)->_$`dOutputForm``1001468
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(_$)->Boolean`cAbelianMonoid``1001566
ozero?`1`n`(_$)->Boolean`dArity``1001622
ozero?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1001696
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1001770
ozeroDim?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1001869
ozeroDim?`2`n`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1002086
ozeroDimPrimary?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1002254
ozeroDimPrime?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1002341
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1002426
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1002598
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1002777
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1003008
ozeroOf`1`n`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1003183
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1003414
ozeroOf`2`n`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1003620
ozeroSetSplitIntoTriangularSystems`1`n`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1003835
ozeroSetSplit`1`n`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1004171
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1004371
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1004723
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1005097
ozeroSetSplit`2`n`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1005238
ozeroSetSplit`3`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1005752
ozeroSetSplit`3`n`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1006261
ozeroSetSplit`3`n`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1006587
ozeroSetSplit`5`n`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1006957
ozeroSetSplit`5`n`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1007096
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`n`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1007235
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1007299
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1007368
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1007707
ozerosOf`1`n`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1007990
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1008270
ozerosOf`2`n`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1008584
ozoom`2`n`(_$,Float)->Void`dThreeDimensionalViewport``1008898
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1009056
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1009094
ozoom`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1009134
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1009422
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->Boolean`cBasicType``1009464
o~=`2`n`(_$,_$)->_$`dOutputForm``1009529
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(_$)->_$`cLogic``1009585
pAlgFactor`1`n`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1009646
pAlgebraPackage`2`n`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1009742
pAlgebraicFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`AF`1009826
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1009900
pAlgebraicIntegrate`5`n`(R0:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1009935
pAlgebraicIntegration`2`n`(R:IntegralDomain,F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1010024
pAlgebraicManipulations`2`n`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1010138
pAlgebraicMultFact`3`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1010253
pAnyFunctions1`1`n`(Type)->etc`(S)`ANY1`1010464
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1010674
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1010761
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1010889
pAttachPredicates`1`n`(Type)->etc`(D)`PMPRED`1011013
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1011131
pBasicOperatorFunctions1`1`n`(SetCategory)->etc`(A)`BOP1`1011200
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`1011337
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1011453
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1011567
pCRApackage`1`n`(EuclideanDomain)->etc`(R)`CRAPACK`1012172
pCartesianTensorFunctions2`4`n`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1012208
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1012315
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1012379
pCharacteristicPolynomialPackage`1`n`(CommutativeRing)->etc`(R)`CHARPOL`1012476
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1012581
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1013027
pCombinatorialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`COMBF`1013116
pCommonDenominator`3`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1013181
pCommonOperators`0`n`()->etc``COMMONOP`1013345
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1013551
pCompilerPackage`0`n`()->Join(Type,etc)``COMPILER`1013667
pComplexFactorization`2`n`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1013715
pComplexFunctions2`2`n`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1013947
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1014044
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1014170
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1014247
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1014319
pComplexRootPackage`2`n`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`0
pComplexTrigonometricManipulations`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1015089
pConstantLODE`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1015223
pCoordinateSystems`1`n`(Join(Field,etc))->etc`(R)`COORDSYS`1015311
pCycleIndicators`0`n`()->etc``CYCLES`1015569
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1015606
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1015674
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1015710
pDegreeReductionPackage`2`n`(Ring,R2:IntegralDomain)->etc`(R1,R2)`DEGRED`1015851
pDiophantineSolutionPackage`0`n`()->etc``DIOSP`1015887
pDirectProductFunctions2`3`n`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1016620
pDiscreteLogarithmPackage`1`n`(M:Join(Monoid,etc))->etc`(M)`DLP`1016938
pDisplayPackage`0`n`()->etc``DISPLAY`1017058
pDistinctDegreeFactorize`2`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1017163
pDoubleFloatSpecialFunctions`0`n`()->etc``DFSFUN`1017456
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1017557
pDrawComplex`0`n`()->etc``DRAWCX`0
pDrawNumericHack`1`n`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1017660
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1018078
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1018114
pEigenPackage`1`n`(GcdDomain)->etc`(R)`EP`1018150
pElementaryFunctionDefiniteIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1018504
pElementaryFunctionLODESolver`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1018634
pElementaryFunctionODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1018814
pElementaryFunctionSign`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1018986
pElementaryFunctionStructurePackage`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1019101
pElementaryFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1019394
pElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`1019456
pElementaryFunctionsUnivariatePuiseuxSeries`4`n`(Coef:Algebra(Fraction(Integer)),ULS:UnivariateLaurentSeriesCategory(Coef),UPXS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),PartialTranscendentalFunctions(ULS))->Join(PartialTranscendentalFunctions(UPXS),etc)`(Coef,ULS,UPXS,EFULS)`EFUPXS`1019877
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1020298
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1020461
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1020667
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1020875
pEquationFunctions2`2`n`(Type,R:Type)->etc`(S,R)`EQ2`1020952
pErrorFunctions`0`n`()->etc``ERROR`1021028
pEuclideanGroebnerBasisPackage`4`n`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1023009
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1023884
pExpressionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`EXPR2`1024057
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1024153
pExpressionSpaceFunctions2`2`n`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1024334
pExpressionSpaceODESolver`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1024621
pExpressionToUnivariatePowerSeries`2`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1024671
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1024761
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1024973
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1025278
pFactoredFunctions2`2`n`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1025391
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1025665
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1025722
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`1025884
pFiniteDivisorFunctions2`8`n`(R1:Field,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:Field,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FDIV2`1026029
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1026156
pFiniteFieldHomomorphisms`3`n`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1026325
pFiniteFieldPolynomialPackage2`2`n`(F:Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1026559
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1026828
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1026995
pFiniteLinearAggregateFunctions2`4`n`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1027096
pFiniteLinearAggregateSort`2`n`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1027408
pFiniteSetAggregateFunctions2`4`n`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1027497
pFloatingComplexPackage`1`n`(Join(Field,etc))->etc`(Par)`FLOATCP`1027801
pFloatingRealPackage`1`n`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1028160
pFractionFunctions2`2`n`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1028480
pFractionalIdealFunctions2`8`n`(R1:EuclideanDomain,F1:QuotientFieldCategory(R1),U1:UnivariatePolynomialCategory(F1),A1:Join(FramedAlgebra(F1,U1),etc),R2:EuclideanDomain,F2:QuotientFieldCategory(R2),U2:UnivariatePolynomialCategory(F2),A2:Join(FramedAlgebra(F2,U2),etc))->etc`(R1,F1,U1,A1,R2,F2,U2,A2)`FRIDEAL2`1028641
pFramedNonAssociativeAlgebraFunctions2`4`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1028824
pFunctionFieldCategoryFunctions2`8`n`(R1:UniqueFactorizationDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:UniqueFactorizationDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FFCAT2`1029091
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1029151
pFunctionSpaceAssertions`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1029554
pFunctionSpaceAttachPredicates`3`n`(R:SetCategory,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1029672
pFunctionSpaceComplexIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1029790
pFunctionSpaceFunctions2`4`n`(R:Ring,A:FunctionSpace(R),S:Ring,B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1029919
pFunctionSpaceIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1030074
pFunctionSpacePrimitiveElement`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1030193
pFunctionSpaceReduce`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1030301
pFunctionSpaceSum`2`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1030506
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1030553
pFunctionSpaceToUnivariatePowerSeries`6`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:OrderedRing,UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,x)`FS2UPS`1030644
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1031069
pFunctionalSpecialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`FSPECF`1031257
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1031321
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1031429
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1031510
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1031716
pGaussianFactorizationPackage`0`n`()->etc``GAUSSFAC`1031790
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1031860
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1032441
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1032660
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1032798
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1032874
pGenerateUnivariatePowerSeries`2`n`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1033037
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1033186
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`1033558
pGraphicsDefaults`0`n`()->etc``GRDEF`1033595
pGrayCode`0`n`()->etc``GRAY`1033689
pGroebnerFactorizationPackage`4`n`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1033830
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1034885
pGroebnerPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1035039
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1036094
pHallBasis`0`n`()->etc``HB`1036372
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1036932
pIdealDecompositionPackage`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`1037080
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1037390
pInfiniteProductCharacteristicZero`2`n`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1037464
pInfiniteProductFiniteField`4`n`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1037584
pInfiniteProductPrimeField`2`n`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1037691
pInfiniteTupleFunctions2`2`n`(Type,B:Type)->Join(Type,etc)`(A,B)`ITFUN2`1037795
pInfiniteTupleFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1037857
pInfinity`0`n`()->etc``INFINITY`1037919
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1038030
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1038163
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1038332
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`1038492
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`0
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1038756
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1039026
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1039166
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1039337
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1039937
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1040002
pInnerTrigonometricManipulations`3`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1040043
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1040220
pIntegerBits`0`n`()->etc``INTBIT`1040263
pIntegerCombinatoricFunctions`1`n`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1040329
pIntegerLinearDependence`1`n`(Join(Ring,etc))->etc`(R)`ZLINDEP`1040701
pIntegerNumberTheoryFunctions`0`n`()->etc``INTHEORY`1040754
pIntegerPrimesPackage`1`n`(IntegerNumberSystem)->etc`(I)`PRIMES`1040835
pIntegerRetractions`1`n`(RetractableTo(Integer))->etc`(S)`INTRET`1041035
pIntegerRoots`1`n`(IntegerNumberSystem)->etc`(I)`IROOT`1041150
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1041275
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1041457
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1041623
pIntegrationResultFunctions2`2`n`(Field,F:Field)->etc`(E,F)`IR2`1041740
pIntegrationResultRFToFunction`1`n`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1041906
pIntegrationResultToFunction`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1042213
pIntegrationTools`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1042415
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1042594
pInternalRationalUnivariateRepresentationPackage`5`n`(R:Join(EuclideanDomain,etc),E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`IRURPK`1042667
pInverseLaplaceTransform`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1043217
pIrrRepSymNatPackage`0`n`()->etc``IRSN`1043277
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1043835
pKernelFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`KERNEL2`1043979
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1044043
pLaplaceTransform`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1044195
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`1044255
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1045127
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1045265
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1046131
pLinearDependence`2`n`(S:IntegralDomain,R:Join(Ring,etc))->etc`(S,R)`LINDEP`1046362
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1046397
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1046568
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1046702
pLinearSystemMatrixPackage1`1`n`(Field)->etc`(F)`LSMP1`1046958
pLinearSystemMatrixPackage`4`n`(F:Field,Row:Join(FiniteLinearAggregate(F),etc),Col:Join(FiniteLinearAggregate(F),etc),M:MatrixCategory(F,Row,Col))->etc`(F,Row,Col,M)`LSMP`1047243
pLinearSystemPolynomialPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1047318
pLiouvillianFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1047412
pListFunctions2`2`n`(Type,B:Type)->etc`(A,B)`LIST2`1047488
pListFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1047636
pListToMap`2`n`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1047786
pMPolyCatFunctions2`7`n`(VarSet:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,S:Ring,PR:PolynomialCategory(R,E1,VarSet),PS:PolynomialCategory(S,E2,VarSet))->etc`(VarSet,E1,E2,R,S,PR,PS)`MPC2`1048203
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`1048329
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1048363
pMPolyCatRationalFunctionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1048748
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1049139
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1049375
pMakeFloatCompiledFunction`1`n`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1049436
pMakeFunction`1`n`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1049664
pMakeRecord`2`n`(Type,T:Type)->etc`(S,T)`MKRECORD`1049728
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1049864
pMappingPackage1`1`n`(SetCategory)->etc`(A)`MAPPKG1`1049925
pMappingPackage2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1049961
pMappingPackage3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1049997
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1050033
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1050069
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1050105
pMatrixCategoryFunctions2`8`n`(R1:Ring,Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Ring,Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1050141
pMatrixCommonDenominator`2`n`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1050294
pMatrixLinearAlgebraFunctions`4`n`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1050447
pMergeThing`1`n`(OrderedSet)->etc`(S)`MTHING`1050554
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1050606
pModularDistinctDegreeFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1050766
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1050996
pMonoidRingFunctions2`3`n`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1051173
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1051305
pMoreSystemCommands`0`n`()->etc``MSYSCMD`1051352
pMultFiniteFactorize`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1051619
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`1051700
pMultivariateFactorize`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1051757
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1051920
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1052186
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1052579
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1052856
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1053181
pNonLinearFirstOrderODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1053492
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1053645
pNoneFunctions1`1`n`(Type)->etc`(S)`NONE1`1053878
pNormInMonogenicAlgebra`4`n`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1054051
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1054167
pNormalizationPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`NORMPK`1054201
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1054962
pNumberFormats`0`n`()->etc``NUMFMT`1055209
pNumberTheoreticPolynomialFunctions`1`n`(CommutativeRing)->etc`(R)`NTPOLFN`1055361
pNumericComplexEigenPackage`1`n`(Join(Field,etc))->etc`(Par)`NCEP`1055426
pNumericContinuedFraction`1`n`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1055697
pNumericRealEigenPackage`1`n`(Join(Field,etc))->etc`(Par)`NREP`1055835
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1056069
pNumeric`1`n`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1056281
pNumericalOrdinaryDifferentialEquations`0`n`()->etc``NUMODE`1056381
pNumericalQuadrature`0`n`()->etc``NUMQUAD`1060996
pODEIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1064411
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1064577
pOctonionCategoryFunctions2`4`n`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1064642
pOneDimensionalArrayFunctions2`2`n`(Type,B:Type)->etc`(A,B)`ARRAY12`1064822
pOnePointCompletionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1064980
pOperationsQuery`0`n`()->etc``OPQUERY`1065084
pOrderedCompletionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1065165
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1065267
pOrthogonalPolynomialFunctions`1`n`(CommutativeRing)->etc`(R)`ORTHPOL`1065396
pOutputPackage`0`n`()->etc``OUT`1065472
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1065528
pPadeApproximantPackage`3`n`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1066071
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1066437
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1066794
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1066862
pParametricPlaneCurveFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1066902
pParametricSpaceCurveFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1066936
pParametricSurfaceFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1066970
pParser`0`n`()->etc``PARSER`1067004
pPartialFractionPackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1067124
pPartitionsAndPermutations`0`n`()->etc``PARTPERM`1067402
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1067566
pPatternFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1067593
pPatternMatchAssertions`0`n`()->etc``PMASS`1067624
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1067742
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1067818
pPatternMatchIntegration`2`n`(R:Join(RetractableTo(Integer),etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1067887
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(SetCategory,etc))->etc`(S,E)`PMKERNEL`1068082
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1068150
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`1068216
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1068288
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1068365
pPatternMatchResultFunctions2`3`n`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1068435
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1068482
pPatternMatchTools`3`n`(S:SetCategory,R:Ring,P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1068550
pPatternMatch`3`n`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1068610
pPermanent`2`n`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1068681
pPermutationGroupExamples`0`n`()->etc``PGE`1068777
pPiCoercions`1`n`(IntegralDomain)->etc`(R)`PICOERCE`1069175
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1069366
pPlotTools`0`n`()->etc``PLOTTOOL`1069498
pPointFunctions2`2`n`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1069541
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1069575
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1069609
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1069710
pPointsOfFiniteOrder`5`n`(R0:Join(IntegralDomain,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1069840
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1069941
pPolyGroebner`1`n`(GcdDomain)->etc`(F)`PGROEB`1070022
pPolynomialAN2Expression`0`n`()->etc``PAN2EXPR`1070735
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Ring,P:PolynomialCategory(R,E,Vars),S:Join(SetCategory,etc))->etc`(E,Vars,R,P,S)`POLYLIFT`1070855
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`1071152
pPolynomialComposition`2`n`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1071275
pPolynomialDecomposition`2`n`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1071309
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1071343
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1071636
pPolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`POLY2`1071851
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`0
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1071994
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1072047
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1072100
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`1072194
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1072269
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1072558
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1072797
pPolynomialToUnivariatePolynomial`2`n`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1073220
pPowerSeriesLimitPackage`2`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1073452
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1073697
pPrimitiveArrayFunctions2`2`n`(Type,B:Type)->etc`(A,B)`PRIMARR2`1073874
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1074026
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1074124
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1074354
pPrintPackage`0`n`()->etc``PRINT`1074419
pPropositionalFormulaFunctions1`1`n`(SetCategory)->Join(Type,etc)`(T)`PROPFUN1`1074483
pPropositionalFormulaFunctions2`2`n`(SetCategory,T:SetCategory)->Join(Type,etc)`(S,T)`PROPFUN2`1074565
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1074648
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1074764
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1075806
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`1075975
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1076068
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`1076104
pQuasiComponentPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`QCMPACK`1077358
pQuaternionCategoryFunctions2`4`n`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1078097
pQuotientFieldCategoryFunctions2`4`n`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1078294
pRadicalEigenPackage`0`n`()->etc``REP`1078402
pRadicalSolvePackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1078683
pRadixUtilities`0`n`()->etc``RADUTIL`1078855
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1078921
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1078970
pRandomNumberSource`0`n`()->etc``RANDSRC`1079020
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`n`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1079211
pRationalFunctionFactor`1`n`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1079337
pRationalFunctionFactorizer`1`n`(EuclideanDomain)->etc`(R)`RFFACTOR`1079458
pRationalFunctionIntegration`1`n`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1079744
pRationalFunctionLimitPackage`1`n`(GcdDomain)->etc`(R)`LIMITRF`1079826
pRationalFunctionSign`1`n`(GcdDomain)->etc`(R)`SIGNRF`1079879
pRationalFunctionSum`1`n`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1079951
pRationalFunction`1`n`(IntegralDomain)->etc`(R)`RF`1079995
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1080092
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1080173
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1080235
pRationalRetractions`1`n`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1080385
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1080499
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1080563
pRealPolynomialUtilitiesPackage`2`n`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1080999
pRealSolvePackage`0`n`()->etc``REALSOLV`1081100
pRealZeroPackageQ`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1081217
pRealZeroPackage`1`n`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1081522
pRectangularMatrixCategoryFunctions2`10`n`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Ring,Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Ring,Row2:DirectProductCategory(n,R2),Col2:DirectProductCategory(m,R2),M2:RectangularMatrixCategory(m,n,R2,Row2,Col2))->etc`(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)`RMCAT2`1081826
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`1082000
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`1082101
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1082250
pRegularSetDecompositionPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSDCMPK`1082400
pRegularTriangularSetGcdPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSETGCD`1083862
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1084635
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1084689
pRepresentationPackage1`1`n`(Ring)->etc`(R)`REP1`1084743
pRepresentationPackage2`1`n`(Ring)->etc`(R)`REP2`1085252
pResolveLatticeCompletion`1`n`(Type)->etc`(S)`RESLATC`1085821
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1085919
pSAERationalFunctionAlgFactor`3`n`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1086070
pSegmentBindingFunctions2`2`n`(Type,S:Type)->etc`(R,S)`SEGBIND2`1086204
pSegmentFunctions2`2`n`(Type,S:Type)->etc`(R,S)`SEG2`1086306
pSimpleAlgebraicExtensionAlgFactor`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1086383
pSimplifyAlgebraicNumberConvertPackage`0`n`()->etc``SIMPAN`1086529
pSmithNormalForm`4`n`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1086636
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1086742
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1086790
pSpadParser`0`n`()->etc``SPADPRSR`1087352
pSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`SUP2`1087473
pSpecialOutputPackage`0`n`()->etc``SPECOUT`1087798
pSquareFreeQuasiComponentPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFQCMPK`1087913
pSquareFreeRegularSetDecompositionPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SRDCMPK`1088756
pSquareFreeRegularTriangularSetGcdPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFRGCD`1090149
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1091034
pStreamFunctions1`1`n`(Type)->etc`(S)`STREAM1`1091333
pStreamFunctions2`2`n`(Type,B:Type)->etc`(A,B)`STREAM2`1091394
pStreamFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1091456
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1091520
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1091699
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1091844
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1092049
pStructuralConstantsPackage`1`n`(Field)->etc`(R)`SCPKG`1092212
pSturmHabichtPackage`2`n`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1092399
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1092561
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1092831
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1093035
pSymmetricGroupCombinatoricFunctions`0`n`()->etc``SGCF`1093102
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1093308
pSystemSolvePackage`1`n`(IntegralDomain)->etc`(R)`SYSSOLP`0
pSystem`0`n`()->Join(Type,etc)``SYSTEM`1093432
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1093540
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1093739
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1094170
pTexFormat1`1`n`(SetCategory)->etc`(S)`TEX1`1094223
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1094367
pTopLevelDrawFunctionsForAlgebraicCurves`2`n`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1094412
pTopLevelDrawFunctionsForCompiledFunctions`0`n`()->etc``DRAWCFUN`1094531
pTopLevelDrawFunctionsForPoints`0`n`()->etc``DRAWPT`1094646
pTopLevelDrawFunctions`1`n`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1094774
pTopLevelThreeSpace`0`n`()->etc``TOPSP`1094869
pTransSolvePackageService`1`n`(IntegralDomain)->etc`(R)`SOLVESER`1094943
pTransSolvePackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`SOLVETRA`1095501
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1096351
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1096402
pTranscendentalManipulations`2`n`(R:GcdDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1096493
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1096618
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1096787
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1096943
pTrigonometricManipulations`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1097418
pTubePlotTools`0`n`()->etc``TUBETOOL`1097569
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1097645
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1097758
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1097925
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1098054
pUnivariateLaurentSeriesFunctions2`6`n`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1098231
pUnivariatePolynomialCategoryFunctions2`4`n`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1098408
pUnivariatePolynomialCommonDenominator`3`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1098551
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1098736
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1098921
pUnivariatePolynomialFunctions2`4`n`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1099067
pUnivariatePolynomialMultiplicationPackage`2`n`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1099410
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1099693
pUnivariatePuiseuxSeriesFunctions2`6`n`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1100368
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1100518
pUnivariateTaylorSeriesFunctions2`4`n`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1100646
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1100822
pUniversalSegmentFunctions2`2`n`(Type,S:Type)->etc`(R,S)`UNISEG2`1100973
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1101050
pUserDefinedVariableOrdering`0`n`()->etc``UDVO`1101116
pVectorFunctions2`2`n`(Type,B:Type)->etc`(A,B)`VECTOR2`1101349
pViewDefaultsPackage`0`n`()->etc``VIEWDEF`1101654
pViewportPackage`0`n`()->etc``VIEW`1101742
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1101868
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1102432
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1102794
pZeroDimensionalSolvePackage`3`n`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1102964
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1104286
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1104414
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1104535
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1105112
xAbstractSyntaxCategory&`1`n`(AbstractSyntaxCategory)->etc`(S)`ASTCAT-`1105265
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1105324
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1105730
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1105823
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),IntegralDomain)->etc`(S,R)`ACFS-`1105869
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1105924
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1105981
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1106209
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1106327
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1106467
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1106682
xBooleanLogic&`1`n`(BooleanLogic)->etc`(S)`BOOLE-`1106781
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1106838
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1107274
xConstructorCategory&`1`n`(ConstructorCategory)->etc`(S)`CTORCAT-`1107361
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`1107429
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`1107749
xDifferentialDomain&`2`n`(DifferentialDomain(T),T:Type)->etc`(S,T)`DIFFDOM-`1107879
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1108516
xDifferentialSpace&`1`n`(DifferentialSpace)->etc`(S)`DIFFSPC-`1109842
xDifferentialSpaceExtension&`2`n`(DifferentialSpaceExtension(R),R:Type)->etc`(S,R)`DSEXT-`1109977
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1110053
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1112435
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1112592
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1112761
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:BasicType,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1112807
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1113168
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1113318
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1113708
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1113858
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1113935
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1114342
xField&`1`n`(Field)->etc`(S)`FIELD-`1114430
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1114652
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1114894
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1115124
xFiniteAggregate&`2`n`(FiniteAggregate(S),S:Type)->etc`(A,S)`FINAGG-`1115295
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1115382
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-`1116897
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1117113
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1117173
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1117417
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1117539
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1117690
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1117893
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1118920
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1119033
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1119311
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1119433
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1119664
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1120096
xFunctionSpace&`2`n`(FunctionSpace(R),R:SetCategory)->etc`(S,R)`FS-`1120179
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1120258
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1120558
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1120898
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1121441
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1121553
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1121811
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:BasicType,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1121871
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1122130
xInputByteConduit&`1`n`(InputByteConduit)->etc`(S)`INBCON-`1122448
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1122507
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`1122573
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`1122902
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1123011
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1123325
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1123390
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1123555
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1124184
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1124450
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1124638
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1124734
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1125350
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1125417
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1125523
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1125964
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1126074
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1126200
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1126375
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1126514
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1126822
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1127044
xOperatorCategory&`2`n`(OperatorCategory(S),S:SetCategory)->etc`(A,S)`OPERCAT-`1127842
xOrderedAbelianGroup&`1`n`(OrderedAbelianGroup)->etc`(S)`OAGROUP-`1128053
xOrderedAbelianMonoid&`1`n`(OrderedAbelianMonoid)->etc`(S)`OAMON-`1128153
xOrderedType&`1`n`(OrderedType)->etc`(S)`ORDTYPE-`1128254
xOutputByteConduit&`1`n`(OutputByteConduit)->etc`(S)`OUTBCON-`1128311
xPartialDifferentialDomain&`3`n`(PartialDifferentialDomain(T,S),T:Type,S:Type)->etc`(A,T,S)`PDDOM-`1128371
xPartialDifferentialSpace&`2`n`(PartialDifferentialSpace(S),S:BasicType)->etc`(A,S)`PDSPC-`1128667
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1128878
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1129048
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-`1129351
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1129965
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1130090
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1130228
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1130320
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1130391
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1130486
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1130781
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1130892
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1131121
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1131573
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-`1132052
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1134882
xRing&`1`n`(Ring)->etc`(S)`RING-`1135057
xRng&`1`n`(Rng)->etc`(S)`RNG-`1135155
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1135380
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1135510
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1135836
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Ring,Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1136108
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1136364
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1136735
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`1136839
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1136960
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-`1137021
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1138445
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1138494
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1139049
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1139587
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1139760
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1140054
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1140202
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1140549
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1140846
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1141229
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1141328
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1141748
open-axiom-databases 1.5.0~svn3056+ds-1 / usr / lib / open-axiom / algebra / libdb.text
