19.1 FriCAS Packages
This is a listing of all packages in the FriCAS library at the time this
book was produced. Use the Browse facility (described in Chapter
ugBrowse ) to get more information
about these constructors.
This sample entry will help you read the following table:
PackageName{PackageAbbreviation}:{ Category1 ... CategoryN}with { op1...
opM}
where
| PackageName |
is the full package name, e.g., PadeApproximantPackage. |
| PackageAbbreviation |
is the package abbreviation, e.g., PADEPAC. |
| Categoryi |
is a category to which the package belongs. |
| opj |
is an operation exported by the package. |
| Abbreviation: |
AF |
| Full name: |
AlgebraicFunction |
| Belongs to: |
|
| Operations: |
^ belong? definingPolynomial
inrootof iroot minPoly operator
rootOf |
| Abbreviation: |
INTHERAL |
| Full name: |
AlgebraicHermiteIntegration |
| Belongs to: |
|
| Operations: |
HermiteIntegrate |
| Abbreviation: |
INTALG |
| Full name: |
AlgebraicIntegrate |
| Belongs to: |
|
| Operations: |
algintegrate palginfieldint
palgintegrate |
| Abbreviation: |
INTAF |
| Full name: |
AlgebraicIntegration |
| Belongs to: |
|
| Operations: |
algint |
| Abbreviation: |
ALGMANIP |
| Full name: |
AlgebraicManipulations |
| Belongs to: |
|
| Operations: |
ratDenom ratPoly rootKerSimp
rootSimp rootSplit |
| Abbreviation: |
ALGMFACT |
| Full name: |
AlgebraicMultFact |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
ALGPKG |
| Full name: |
AlgebraPackage |
| Belongs to: |
|
| Operations: |
basisOfCenter basisOfCentroid
basisOfCommutingElements
basisOfLeftAnnihilator
basisOfLeftNucleus
basisOfLeftNucloid
basisOfMiddleNucleus basisOfNucleus
basisOfRightAnnihilator
basisOfRightNucleus
basisOfRightNucloid biRank
doubleRank leftRank
radicalOfLeftTraceForm rightRank
weakBiRank |
| Abbreviation: |
ALGFACT |
| Full name: |
AlgFactor |
| Belongs to: |
|
| Operations: |
doublyTransitive? factor split |
| Abbreviation: |
ANY1 |
| Full name: |
AnyFunctions1 |
| Belongs to: |
|
| Operations: |
coerce retract retractIfCan
retractable? |
| Abbreviation: |
APPRULE |
| Full name: |
ApplyRules |
| Belongs to: |
|
| Operations: |
applyRules localUnquote |
| Abbreviation: |
PMPRED |
| Full name: |
AttachPredicates |
| Belongs to: |
|
| Operations: |
suchThat |
| Abbreviation: |
BALFACT |
| Full name: |
BalancedFactorisation |
| Belongs to: |
|
| Operations: |
balancedFactorisation |
| Abbreviation: |
BOP1 |
| Full name: |
BasicOperatorFunctions1 |
| Belongs to: |
|
| Operations: |
constantOpIfCan constantOperator
derivative evaluate |
| Abbreviation: |
BEZOUT |
| Full name: |
BezoutMatrix |
| Belongs to: |
|
| Operations: |
bezoutDiscriminant bezoutMatrix
bezoutResultant |
| Abbreviation: |
BOUNDZRO |
| Full name: |
BoundIntegerRoots |
| Belongs to: |
|
| Operations: |
integerBound |
| Abbreviation: |
CARTEN2 |
| Full name: |
CartesianTensorFunctions2 |
| Belongs to: |
|
| Operations: |
map reshape |
| Abbreviation: |
CHVAR |
| Full name: |
ChangeOfVariable |
| Belongs to: |
|
| Operations: |
chvar eval goodPoint mkIntegral
radPoly rootPoly |
| Abbreviation: |
CHARPOL |
| Full name: |
CharacteristicPolynomialPackage |
| Belongs to: |
|
| Operations: |
characteristicPolynomial |
| Abbreviation: |
CVMP |
| Full name: |
CoerceVectorMatrixPackage |
| Belongs to: |
|
| Operations: |
coerce coerceP |
| Abbreviation: |
COMBF |
| Full name: |
CombinatorialFunction |
| Belongs to: |
|
| Operations: |
^ belong? binomial factorial
factorials iibinom iidprod iidsum
iifact iiperm iipow ipow operator
permutation product summation |
| Abbreviation: |
CDEN |
| Full name: |
CommonDenominator |
| Belongs to: |
|
| Operations: |
clearDenominator commonDenominator
splitDenominator |
| Abbreviation: |
COMMONOP |
| Full name: |
CommonOperators |
| Belongs to: |
|
| Operations: |
operator |
| Abbreviation: |
COMMUPC |
| Full name: |
CommuteUnivariatePolynomialCategory |
| Belongs to: |
|
| Operations: |
swap |
| Abbreviation: |
COMPFACT |
| Full name: |
ComplexFactorization |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
COMPLEX2 |
| Full name: |
ComplexFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
CINTSLPE |
| Full name: |
ComplexIntegerSolveLinearPolynomialE
quation |
| Belongs to: |
|
| Operations: |
solveLinearPolynomialEquation |
| Abbreviation: |
CRFP |
| Full name: |
ComplexRootFindingPackage |
| Belongs to: |
|
| Operations: |
complexZeros divisorCascade factor
graeffe norm pleskenSplit
reciprocalPolynomial rootRadius
schwerpunkt setErrorBound
startPolynomial |
| Abbreviation: |
CMPLXRT |
| Full name: |
ComplexRootPackage |
| Belongs to: |
|
| Operations: |
complexZeros |
| Abbreviation: |
ODECONST |
| Full name: |
ConstantLODE |
| Belongs to: |
|
| Operations: |
constDsolve |
| Abbreviation: |
COORDSYS |
| Full name: |
CoordinateSystems |
| Belongs to: |
|
| Operations: |
bipolar bipolarCylindrical cartesian
conical cylindrical elliptic
ellipticCylindrical oblateSpheroidal
parabolic parabolicCylindrical
paraboloidal polar prolateSpheroidal
spherical toroidal |
| Abbreviation: |
CRAPACK |
| Full name: |
CRApackage |
| Belongs to: |
|
| Operations: |
chineseRemainder modTree
multiEuclideanTree |
| Abbreviation: |
CYCLES |
| Full name: |
CycleIndicators |
| Belongs to: |
|
| Operations: |
SFunction alternating cap complete
cup cyclic dihedral elementary eval
graphs powerSum skewSFunction wreath |
| Abbreviation: |
CSTTOOLS |
| Full name: |
CyclicStreamTools |
| Belongs to: |
|
| Operations: |
computeCycleEntry computeCycleLength
cycleElt |
| Abbreviation: |
CYCLOTOM |
| Full name: |
CyclotomicPolynomialPackage |
| Belongs to: |
|
| Operations: |
cyclotomic cyclotomicDecomposition
cyclotomicFactorization |
| Abbreviation: |
DEGRED |
| Full name: |
DegreeReductionPackage |
| Belongs to: |
|
| Operations: |
expand reduce |
| Abbreviation: |
DIOSP |
| Full name: |
DiophantineSolutionPackage |
| Belongs to: |
|
| Operations: |
dioSolve |
| Abbreviation: |
DIRPROD2 |
| Full name: |
DirectProductFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce scan |
| Abbreviation: |
DLP |
| Full name: |
DiscreteLogarithmPackage |
| Belongs to: |
|
| Operations: |
shanksDiscLogAlgorithm |
| Abbreviation: |
DISPLAY |
| Full name: |
DisplayPackage |
| Belongs to: |
|
| Operations: |
bright center copies newLine say
sayLength |
| Abbreviation: |
DDFACT |
| Full name: |
DistinctDegreeFactorize |
| Belongs to: |
|
| Operations: |
distdfact exptMod factor
irreducible? separateDegrees
separateFactors tracePowMod |
| Abbreviation: |
DBLRESP |
| Full name: |
DoubleResultantPackage |
| Belongs to: |
|
| Operations: |
doubleResultant |
| Abbreviation: |
DRAWHACK |
| Full name: |
DrawNumericHack |
| Belongs to: |
|
| Operations: |
coerce |
| Abbreviation: |
DROPT0 |
| Full name: |
DrawOptionFunctions0 |
| Belongs to: |
|
| Operations: |
adaptive clipBoolean coordinate
curveColorPalette pointColorPalette
ranges space style title toScale
tubePoints tubeRadius units
var1Steps var2Steps |
| Abbreviation: |
DROPT1 |
| Full name: |
DrawOptionFunctions1 |
| Belongs to: |
|
| Operations: |
option |
| Abbreviation: |
EP |
| Full name: |
EigenPackage |
| Belongs to: |
|
| Operations: |
characteristicPolynomial eigenvalues
eigenvector eigenvectors inteigen |
| Abbreviation: |
ODEEF |
| Full name: |
ElementaryFunctionODESolver |
| Belongs to: |
|
| Operations: |
solve |
| Abbreviation: |
SIGNEF |
| Full name: |
ElementaryFunctionSign |
| Belongs to: |
|
| Operations: |
sign |
| Abbreviation: |
EFSTRUC |
| Full name: |
ElementaryFunctionStructurePackage |
| Belongs to: |
|
| Operations: |
normalize realElementary
rischNormalize validExponential |
| Abbreviation: |
EFUTS |
| Full name: |
ElementaryFunctionsUnivariateTaylorS
eries |
| Belongs to: |
|
| Operations: |
^ acos acosh acot acoth acsc acsch
asec asech asin asinh atan atanh cos
cosh cot coth csc csch exp log sec
sech sin sincos sinh sinhcosh tan
tanh |
| Abbreviation: |
EF |
| Full name: |
ElementaryFunction |
| Belongs to: |
|
| Operations: |
acos acosh acot acoth acsc acsch
asec asech asin asinh atan atanh
belong? cos cosh cot coth csc csch
exp iiacos iiacosh iiacot iiacoth
iiacsc iiacsch iiasec iiasech iiasin
iiasinh iiatan iiatanh iicos iicosh
iicot iicoth iicsc iicsch iiexp
iilog iisec iisech iisin iisinh
iitan iitanh log operator pi sec
sech sin sinh specialTrigs tan tanh |
| Abbreviation: |
INTEF |
| Full name: |
ElementaryIntegration |
| Belongs to: |
|
| Operations: |
lfextendedint lfextlimint
lfinfieldint lfintegrate
lflimitedint |
| Abbreviation: |
RDEEF |
| Full name: |
ElementaryRischDE |
| Belongs to: |
|
| Operations: |
rischDE |
| Abbreviation: |
ELFUTS |
| Full name: |
EllipticFunctionsUnivariateTaylorSer
ies |
| Belongs to: |
|
| Operations: |
cn dn sn sncndn |
| Abbreviation: |
EQ2 |
| Full name: |
EquationFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
ERROR |
| Full name: |
ErrorFunctions |
| Belongs to: |
|
| Operations: |
error |
| Abbreviation: |
GBEUCLID |
| Full name: |
EuclideanGroebnerBasisPackage |
| Belongs to: |
|
| Operations: |
euclideanGroebner
euclideanNormalForm |
| Abbreviation: |
EVALCYC |
| Full name: |
EvaluateCycleIndicators |
| Belongs to: |
|
| Operations: |
eval |
| Abbreviation: |
EXPR2 |
| Full name: |
ExpressionFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
ES1 |
| Full name: |
ExpressionSpaceFunctions1 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
ES2 |
| Full name: |
ExpressionSpaceFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
EXPRODE |
| Full name: |
ExpressionSpaceODESolver |
| Belongs to: |
|
| Operations: |
seriesSolve |
| Abbreviation: |
EXPR2UPS |
| Full name: |
ExpressionToUnivariatePowerSeries |
| Belongs to: |
|
| Operations: |
laurent puiseux series taylor |
| Abbreviation: |
EXPRTUBE |
| Full name: |
ExpressionTubePlot |
| Belongs to: |
|
| Operations: |
constantToUnaryFunction tubePlot |
| Abbreviation: |
FR2 |
| Full name: |
FactoredFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
FACTFUNC |
| Full name: |
FactoredFunctions |
| Belongs to: |
|
| Operations: |
log nthRoot |
| Abbreviation: |
FRUTIL |
| Full name: |
FactoredFunctionUtilities |
| Belongs to: |
|
| Operations: |
mergeFactors refine |
| Abbreviation: |
FACUTIL |
| Full name: |
FactoringUtilities |
| Belongs to: |
|
| Operations: |
completeEval degree lowerPolynomial
normalDeriv raisePolynomial ran
variables |
| Abbreviation: |
FORDER |
| Full name: |
FindOrderFinite |
| Belongs to: |
|
| Operations: |
order |
| Abbreviation: |
FDIV2 |
| Full name: |
FiniteDivisorFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
FFF |
| Full name: |
FiniteFieldFunctions |
| Belongs to: |
|
| Operations: |
createMultiplicationMatrix
createMultiplicationTable
createZechTable sizeMultiplication |
| Abbreviation: |
FFHOM |
| Full name: |
FiniteFieldHomomorphisms |
| Belongs to: |
|
| Operations: |
coerce |
| Abbreviation: |
FFPOLY2 |
| Full name: |
FiniteFieldPolynomialPackage2 |
| Belongs to: |
|
| Operations: |
rootOfIrreduciblePoly |
| Abbreviation: |
FFPOLY |
| Full name: |
FiniteFieldPolynomialPackage |
| Belongs to: |
|
| Operations: |
createIrreduciblePoly
createNormalPoly
createNormalPrimitivePoly
createPrimitiveNormalPoly
createPrimitivePoly
leastAffineMultiple
nextIrreduciblePoly nextNormalPoly
nextNormalPrimitivePoly
nextPrimitiveNormalPoly
nextPrimitivePoly normal?
numberOfIrreduciblePoly
numberOfNormalPoly
numberOfPrimitivePoly primitive?
random reducedQPowers |
| Abbreviation: |
FFSLPE |
| Full name: |
FiniteFieldSolveLinearPolynomialEqua
tion |
| Belongs to: |
|
| Operations: |
solveLinearPolynomialEquation |
| Abbreviation: |
FLAGG2 |
| Full name: |
FiniteLinearAggregateFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce scan |
| Abbreviation: |
FLASORT |
| Full name: |
FiniteLinearAggregateSort |
| Belongs to: |
|
| Operations: |
heapSort quickSort shellSort |
| Abbreviation: |
FSAGG2 |
| Full name: |
FiniteSetAggregateFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce scan |
| Abbreviation: |
FLOATCP |
| Full name: |
FloatingComplexPackage |
| Belongs to: |
|
| Operations: |
complexRoots complexSolve |
| Abbreviation: |
FLOATRP |
| Full name: |
FloatingRealPackage |
| Belongs to: |
|
| Operations: |
realRoots solve |
| Abbreviation: |
FRIDEAL2 |
| Full name: |
FractionalIdealFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
FRAC2 |
| Full name: |
FractionFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
FSPECF |
| Full name: |
FunctionalSpecialFunction |
| Belongs to: |
|
| Operations: |
Beta Gamma abs airyAi airyBi belong?
besselI besselJ besselK besselY
digamma iiGamma iiabs operator
polygamma |
| Abbreviation: |
FFCAT2 |
| Full name: |
FunctionFieldCategoryFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
FFINTBAS |
| Full name: |
FunctionFieldIntegralBasis |
| Belongs to: |
|
| Operations: |
integralBasis |
| Abbreviation: |
PMASSFS |
| Full name: |
FunctionSpaceAssertions |
| Belongs to: |
|
| Operations: |
assert constant multiple optional |
| Abbreviation: |
PMPREDFS |
| Full name: |
FunctionSpaceAttachPredicates |
| Belongs to: |
|
| Operations: |
suchThat |
| Abbreviation: |
FSCINT |
| Full name: |
FunctionSpaceComplexIntegration |
| Belongs to: |
|
| Operations: |
complexIntegrate internalIntegrate |
| Abbreviation: |
FS2 |
| Full name: |
FunctionSpaceFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
FSINT |
| Full name: |
FunctionSpaceIntegration |
| Belongs to: |
|
| Operations: |
integrate |
| Abbreviation: |
FSPRMELT |
| Full name: |
FunctionSpacePrimitiveElement |
| Belongs to: |
|
| Operations: |
primitiveElement |
| Abbreviation: |
FSRED |
| Full name: |
FunctionSpaceReduce |
| Belongs to: |
|
| Operations: |
bringDown newReduc |
| Abbreviation: |
SUMFS |
| Full name: |
FunctionSpaceSum |
| Belongs to: |
|
| Operations: |
sum |
| Abbreviation: |
FS2UPS |
| Full name: |
FunctionSpaceToUnivariatePowerSeries |
| Belongs to: |
|
| Operations: |
exprToGenUPS exprToUPS |
| Abbreviation: |
FSUPFACT |
| Full name: |
FunctionSpaceUnivariatePolynomialFac
tor |
| Belongs to: |
|
| Operations: |
ffactor qfactor |
| Abbreviation: |
GAUSSFAC |
| Full name: |
GaussianFactorizationPackage |
| Belongs to: |
|
| Operations: |
factor prime? sumSquares |
| Abbreviation: |
GHENSEL |
| Full name: |
GeneralHenselPackage |
| Belongs to: |
|
| Operations: |
HenselLift completeHensel |
| Abbreviation: |
GENPGCD |
| Full name: |
GeneralPolynomialGcdPackage |
| Belongs to: |
|
| Operations: |
gcdPolynomial randomR |
| Abbreviation: |
GENUPS |
| Full name: |
GenerateUnivariatePowerSeries |
| Belongs to: |
|
| Operations: |
laurent puiseux series taylor |
| Abbreviation: |
GENEEZ |
| Full name: |
GenExEuclid |
| Belongs to: |
|
| Operations: |
compBound reduction solveid tablePow
testModulus |
| Abbreviation: |
GENUFACT |
| Full name: |
GenUFactorize |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
INTG0 |
| Full name: |
GenusZeroIntegration |
| Belongs to: |
|
| Operations: |
palgLODE0 palgRDE0 palgextint0
palgint0 palglimint0 |
| Abbreviation: |
GOSPER |
| Full name: |
GosperSummationMethod |
| Belongs to: |
|
| Operations: |
GospersMethod |
| Abbreviation: |
GRDEF |
| Full name: |
GraphicsDefaults |
| Belongs to: |
|
| Operations: |
adaptive clipPointsDefault
drawToScale maxPoints minPoints
screenResolution |
| Abbreviation: |
GRAY |
| Full name: |
GrayCode |
| Belongs to: |
|
| Operations: |
firstSubsetGray nextSubsetGray |
| Abbreviation: |
GBF |
| Full name: |
GroebnerFactorizationPackage |
| Belongs to: |
|
| Operations: |
factorGroebnerBasis
groebnerFactorize |
| Abbreviation: |
GBINTERN |
| Full name: |
GroebnerInternalPackage |
| Belongs to: |
|
| Operations: |
credPol critB critBonD critM
critMTonD1 critMonD1 critT
critpOrder fprindINFO gbasis hMonic
lepol makeCrit minGbasis prinb
prindINFO prinpolINFO prinshINFO
redPo redPol sPol updatD updatF
virtualDegree |
| Abbreviation: |
GB |
| Full name: |
GroebnerPackage |
| Belongs to: |
|
| Operations: |
groebner normalForm |
| Abbreviation: |
GROEBSOL |
| Full name: |
GroebnerSolve |
| Belongs to: |
|
| Operations: |
genericPosition groebSolve testDim |
| Abbreviation: |
HB |
| Full name: |
HallBasis |
| Belongs to: |
|
| Operations: |
generate inHallBasis? lfunc |
| Abbreviation: |
HEUGCD |
| Full name: |
HeuGcd |
| Belongs to: |
|
| Operations: |
content contprim gcd gcdcofact
gcdcofactprim gcdprim lintgcd |
| Abbreviation: |
IDECOMP |
| Full name: |
IdealDecompositionPackage |
| Belongs to: |
|
| Operations: |
primaryDecomp prime? radical
zeroDimPrimary? zeroDimPrime? |
| Abbreviation: |
INCRMAPS |
| Full name: |
IncrementingMaps |
| Belongs to: |
|
| Operations: |
increment incrementBy |
| Abbreviation: |
ITFUN2 |
| Full name: |
InfiniteTupleFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
ITFUN3 |
| Full name: |
InfiniteTupleFunctions3 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
INFINITY |
| Full name: |
Infinity |
| Belongs to: |
|
| Operations: |
infinity minusInfinity plusInfinity |
| Abbreviation: |
IALGFACT |
| Full name: |
InnerAlgFactor |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
ICDEN |
| Full name: |
InnerCommonDenominator |
| Belongs to: |
|
| Operations: |
clearDenominator commonDenominator
splitDenominator |
| Abbreviation: |
IMATLIN |
| Full name: |
InnerMatrixLinearAlgebraFunctions |
| Belongs to: |
|
| Operations: |
determinant inverse nullSpace
nullity rank rowEchelon |
| Abbreviation: |
IMATQF |
| Full name: |
InnerMatrixQuotientFieldFunctions |
| Belongs to: |
|
| Operations: |
inverse nullSpace nullity rank
rowEchelon |
| Abbreviation: |
INMODGCD |
| Full name: |
InnerModularGcd |
| Belongs to: |
|
| Operations: |
modularGcd reduction |
| Abbreviation: |
INNMFACT |
| Full name: |
InnerMultFact |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
INEP |
| Full name: |
InnerNumericEigenPackage |
| Belongs to: |
|
| Operations: |
charpol innerEigenvectors |
| Abbreviation: |
INFSP |
| Full name: |
InnerNumericFloatSolvePackage |
| Belongs to: |
|
| Operations: |
innerSolve innerSolve1 makeEq |
| Abbreviation: |
INPSIGN |
| Full name: |
InnerPolySign |
| Belongs to: |
|
| Operations: |
signAround |
| Abbreviation: |
ISUMP |
| Full name: |
InnerPolySum |
| Belongs to: |
|
| Operations: |
sum |
| Abbreviation: |
ITRIGMNP |
| Full name: |
InnerTrigonometricManipulations |
| Belongs to: |
|
| Operations: |
F2FG FG2F GF2FG explogs2trigs
trigs2explogs |
| Abbreviation: |
INFORM1 |
| Full name: |
InputFormFunctions1 |
| Belongs to: |
|
| Operations: |
interpret packageCall |
| Abbreviation: |
COMBINAT |
| Full name: |
IntegerCombinatoricFunctions |
| Belongs to: |
|
| Operations: |
binomial factorial multinomial
partition permutation stirling1
stirling2 |
| Abbreviation: |
INTFACT |
| Full name: |
IntegerFactorizationPackage |
| Belongs to: |
|
| Operations: |
BasicMethod PollardSmallFactor
factor squareFree |
| Abbreviation: |
ZLINDEP |
| Full name: |
IntegerLinearDependence |
| Belongs to: |
|
| Operations: |
linearDependenceOverZ
linearlyDependentOverZ?
solveLinearlyOverQ |
| Abbreviation: |
INTHEORY |
| Full name: |
IntegerNumberTheoryFunctions |
| Belongs to: |
|
| Operations: |
bernoulli chineseRemainder divisors
euler eulerPhi fibonacci harmonic
jacobi legendre moebiusMu
numberOfDivisors sumOfDivisors
sumOfKthPowerDivisors |
| Abbreviation: |
PRIMES |
| Full name: |
IntegerPrimesPackage |
| Belongs to: |
|
| Operations: |
nextPrime prevPrime prime? primes |
| Abbreviation: |
INTRET |
| Full name: |
IntegerRetractions |
| Belongs to: |
|
| Operations: |
integer integer? integerIfCan |
| Abbreviation: |
IROOT |
| Full name: |
IntegerRoots |
| Belongs to: |
|
| Operations: |
approxNthRoot approxSqrt
perfectNthPower? perfectNthRoot
perfectSqrt perfectSquare? |
| Abbreviation: |
IBATOOL |
| Full name: |
IntegralBasisTools |
| Belongs to: |
|
| Operations: |
diagonalProduct idealiser leastPower |
| Abbreviation: |
IR2 |
| Full name: |
IntegrationResultFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
IRRF2F |
| Full name: |
IntegrationResultRFToFunction |
| Belongs to: |
|
| Operations: |
complexExpand complexIntegrate
expand integrate split |
| Abbreviation: |
IR2F |
| Full name: |
IntegrationResultToFunction |
| Belongs to: |
|
| Operations: |
complexExpand expand split |
| Abbreviation: |
INTTOOLS |
| Full name: |
IntegrationTools |
| Belongs to: |
|
| Operations: |
kmax ksec mkPrim union vark
varselect |
| Abbreviation: |
INVLAPLA |
| Full name: |
InverseLaplaceTransform |
| Belongs to: |
|
| Operations: |
inverseLaplace |
| Abbreviation: |
IRREDFFX |
| Full name: |
IrredPolyOverFiniteField |
| Belongs to: |
|
| Operations: |
generateIrredPoly |
| Abbreviation: |
IRSN |
| Full name: |
IrrRepSymNatPackage |
| Belongs to: |
|
| Operations: |
dimensionOfIrreducibleRepresentation
irreducibleRepresentation |
| Abbreviation: |
KERNEL2 |
| Full name: |
KernelFunctions2 |
| Belongs to: |
|
| Operations: |
constantIfCan constantKernel |
| Abbreviation: |
KOVACIC |
| Full name: |
Kovacic |
| Belongs to: |
|
| Operations: |
kovacic |
| Abbreviation: |
LAPLACE |
| Full name: |
LaplaceTransform |
| Belongs to: |
|
| Operations: |
laplace |
| Abbreviation: |
LEADCDET |
| Full name: |
LeadingCoefDetermination |
| Belongs to: |
|
| Operations: |
distFact polCase |
| Abbreviation: |
LINDEP |
| Full name: |
LinearDependence |
| Belongs to: |
|
| Operations: |
linearDependence linearlyDependent?
solveLinear |
| Abbreviation: |
LPEFRAC |
| Full name: |
LinearPolynomialEquationByFractions |
| Belongs to: |
|
| Operations: |
solveLinearPolynomialEquationByFract
ions |
| Abbreviation: |
LSMP |
| Full name: |
LinearSystemMatrixPackage |
| Belongs to: |
|
| Operations: |
aSolution hasSolution? rank solve |
| Abbreviation: |
LSPP |
| Full name: |
LinearSystemPolynomialPackage |
| Belongs to: |
|
| Operations: |
linSolve |
| Abbreviation: |
LGROBP |
| Full name: |
LinGrobnerPackage |
| Belongs to: |
|
| Operations: |
anticoord choosemon computeBasis
coordinate groebgen intcompBasis
linGenPos minPol totolex transform |
| Abbreviation: |
LF |
| Full name: |
LiouvillianFunction |
| Belongs to: |
|
| Operations: |
Ci Ei Si belong? dilog erf integral
li operator |
| Abbreviation: |
LIST2 |
| Full name: |
ListFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce scan |
| Abbreviation: |
LIST3 |
| Full name: |
ListFunctions3 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
LIST2MAP |
| Full name: |
ListToMap |
| Belongs to: |
|
| Operations: |
match |
| Abbreviation: |
MKBCFUNC |
| Full name: |
MakeBinaryCompiledFunction |
| Belongs to: |
|
| Operations: |
binaryFunction compiledFunction |
| Abbreviation: |
MKFLCFN |
| Full name: |
MakeFloatCompiledFunction |
| Belongs to: |
|
| Operations: |
makeFloatFunction |
| Abbreviation: |
MKFUNC |
| Full name: |
MakeFunction |
| Belongs to: |
|
| Operations: |
function |
| Abbreviation: |
MKRECORD |
| Full name: |
MakeRecord |
| Belongs to: |
|
| Operations: |
makeRecord |
| Abbreviation: |
MKUCFUNC |
| Full name: |
MakeUnaryCompiledFunction |
| Belongs to: |
|
| Operations: |
compiledFunction unaryFunction |
| Abbreviation: |
MAPPKG1 |
| Full name: |
MappingPackage1 |
| Belongs to: |
|
| Operations: |
^ coerce fixedPoint id nullary recur |
| Abbreviation: |
MAPPKG2 |
| Full name: |
MappingPackage2 |
| Belongs to: |
|
| Operations: |
const constant curry diag |
| Abbreviation: |
MAPHACK1 |
| Full name: |
MappingPackageInternalHacks1 |
| Belongs to: |
|
| Operations: |
iter recur |
| Abbreviation: |
MAPHACK2 |
| Full name: |
MappingPackageInternalHacks2 |
| Belongs to: |
|
| Operations: |
arg1 arg2 |
| Abbreviation: |
MAPHACK3 |
| Full name: |
MappingPackageInternalHacks3 |
| Belongs to: |
|
| Operations: |
comp |
| Abbreviation: |
MATCAT2 |
| Full name: |
MatrixCategoryFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce |
| Abbreviation: |
MCDEN |
| Full name: |
MatrixCommonDenominator |
| Belongs to: |
|
| Operations: |
clearDenominator commonDenominator
splitDenominator |
| Abbreviation: |
MATLIN |
| Full name: |
MatrixLinearAlgebraFunctions |
| Belongs to: |
|
| Operations: |
determinant inverse minordet
nullSpace nullity rank rowEchelon |
| Abbreviation: |
MTHING |
| Full name: |
MergeThing |
| Belongs to: |
|
| Operations: |
mergeDifference |
| Abbreviation: |
MESH |
| Full name: |
MeshCreationRoutinesForThreeDimensio
ns |
| Belongs to: |
|
| Operations: |
meshFun2Var meshPar1Var meshPar2Var
ptFunc |
| Abbreviation: |
MDDFACT |
| Full name: |
ModularDistinctDegreeFactorizer |
| Belongs to: |
|
| Operations: |
ddFact exptMod factor gcd
separateFactors |
| Abbreviation: |
MHROWRED |
| Full name: |
ModularHermitianRowReduction |
| Belongs to: |
|
| Operations: |
rowEch rowEchelon |
| Abbreviation: |
MRF2 |
| Full name: |
MonoidRingFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
MSYSCMD |
| Full name: |
MoreSystemCommands |
| Belongs to: |
|
| Operations: |
systemCommand |
| Abbreviation: |
MPC2 |
| Full name: |
MPolyCatFunctions2 |
| Belongs to: |
|
| Operations: |
map reshape |
| Abbreviation: |
MPC3 |
| Full name: |
MPolyCatFunctions3 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
MPRFF |
| Full name: |
MPolyCatRationalFunctionFactorizer |
| Belongs to: |
|
| Operations: |
factor pushdown pushdterm pushucoef
pushuconst pushup totalfract |
| Abbreviation: |
MRATFAC |
| Full name: |
MRationalFactorize |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
MFINFACT |
| Full name: |
MultFiniteFactorize |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
MMAP |
| Full name: |
MultipleMap |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
MULTFACT |
| Full name: |
MultivariateFactorize |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
MLIFT |
| Full name: |
MultivariateLifting |
| Belongs to: |
|
| Operations: |
corrPoly lifting lifting1 |
| Abbreviation: |
MULTSQFR |
| Full name: |
MultivariateSquareFree |
| Belongs to: |
|
| Operations: |
squareFree squareFreePrim |
| Abbreviation: |
NCODIV |
| Full name: |
NonCommutativeOperatorDivision |
| Belongs to: |
|
| Operations: |
leftDivide leftExactQuotient leftGcd
leftLcm leftQuotient leftRemainder |
| Abbreviation: |
NONE1 |
| Full name: |
NoneFunctions1 |
| Belongs to: |
|
| Operations: |
coerce |
| Abbreviation: |
NODE1 |
| Full name: |
NonLinearFirstOrderODESolver |
| Belongs to: |
|
| Operations: |
solve |
| Abbreviation: |
NLINSOL |
| Full name: |
NonLinearSolvePackage |
| Belongs to: |
|
| Operations: |
solve solveInField |
| Abbreviation: |
NPCOEF |
| Full name: |
NPCoef |
| Belongs to: |
|
| Operations: |
listexp npcoef |
| Abbreviation: |
NFINTBAS |
| Full name: |
NumberFieldIntegralBasis |
| Belongs to: |
|
| Operations: |
discriminant integralBasis |
| Abbreviation: |
NUMFMT |
| Full name: |
NumberFormats |
| Belongs to: |
|
| Operations: |
FormatArabic FormatRoman ScanArabic
ScanRoman |
| Abbreviation: |
NTPOLFN |
| Full name: |
NumberTheoreticPolynomialFunctions |
| Belongs to: |
|
| Operations: |
bernoulliB cyclotomic eulerE |
| Abbreviation: |
NUMODE |
| Full name: |
NumericalOrdinaryDifferentialEquatio
ns |
| Belongs to: |
|
| Operations: |
rk4 rk4a rk4f rk4qc |
| Abbreviation: |
NUMQUAD |
| Full name: |
NumericalQuadrature |
| Belongs to: |
|
| Operations: |
aromberg asimpson atrapezoidal
romberg rombergo simpson simpsono
trapezoidal trapezoidalo |
| Abbreviation: |
NCEP |
| Full name: |
NumericComplexEigenPackage |
| Belongs to: |
|
| Operations: |
characteristicPolynomial
complexEigenvalues
complexEigenvectors |
| Abbreviation: |
NCNTFRAC |
| Full name: |
NumericContinuedFraction |
| Belongs to: |
|
| Operations: |
continuedFraction |
| Abbreviation: |
NREP |
| Full name: |
NumericRealEigenPackage |
| Belongs to: |
|
| Operations: |
characteristicPolynomial
realEigenvalues realEigenvectors |
| Abbreviation: |
NUMTUBE |
| Full name: |
NumericTubePlot |
| Belongs to: |
|
| Operations: |
tube |
| Abbreviation: |
NUMERIC |
| Full name: |
Numeric |
| Belongs to: |
|
| Operations: |
complexNumeric numeric |
| Abbreviation: |
OCTCT2 |
| Full name: |
OctonionCategoryFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
ODEINT |
| Full name: |
ODEIntegration |
| Belongs to: |
|
| Operations: |
expint int |
| Abbreviation: |
ODETOOLS |
| Full name: |
ODETools |
| Belongs to: |
|
| Operations: |
particularSolution
variationOfParameters
wronskianMatrix |
| Abbreviation: |
ARRAY12 |
| Full name: |
OneDimensionalArrayFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce scan |
| Abbreviation: |
ONECOMP2 |
| Full name: |
OnePointCompletionFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
OPQUERY |
| Full name: |
OperationsQuery |
| Belongs to: |
|
| Operations: |
getDatabase |
| Abbreviation: |
ORDCOMP2 |
| Full name: |
OrderedCompletionFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
ORDFUNS |
| Full name: |
OrderingFunctions |
| Belongs to: |
|
| Operations: |
pureLex reverseLex totalLex |
| Abbreviation: |
ORTHPOL |
| Full name: |
OrthogonalPolynomialFunctions |
| Belongs to: |
|
| Operations: |
ChebyshevU chebyshevT hermiteH
laguerreL legendreP |
| Abbreviation: |
OUT |
| Full name: |
OutputPackage |
| Belongs to: |
|
| Operations: |
output |
| Abbreviation: |
PADEPAC |
| Full name: |
PadeApproximantPackage |
| Belongs to: |
|
| Operations: |
pade |
| Abbreviation: |
PADE |
| Full name: |
PadeApproximants |
| Belongs to: |
|
| Operations: |
pade padecf |
| Abbreviation: |
YSTREAM |
| Full name: |
ParadoxicalCombinatorsForStreams |
| Belongs to: |
|
| Operations: |
Y |
| Abbreviation: |
PARTPERM |
| Full name: |
PartitionsAndPermutations |
| Belongs to: |
|
| Operations: |
conjugate conjugates partitions
permutations sequences shuffle
shufflein |
| Abbreviation: |
PATTERN1 |
| Full name: |
PatternFunctions1 |
| Belongs to: |
|
| Operations: |
addBadValue badValues predicate
satisfy? suchThat |
| Abbreviation: |
PATTERN2 |
| Full name: |
PatternFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
PMASS |
| Full name: |
PatternMatchAssertions |
| Belongs to: |
|
| Operations: |
assert constant multiple optional |
| Abbreviation: |
PMFS |
| Full name: |
PatternMatchFunctionSpace |
| Belongs to: |
|
| Operations: |
patternMatch |
| Abbreviation: |
PMINS |
| Full name: |
PatternMatchIntegerNumberSystem |
| Belongs to: |
|
| Operations: |
patternMatch |
| Abbreviation: |
PMKERNEL |
| Full name: |
PatternMatchKernel |
| Belongs to: |
|
| Operations: |
patternMatch |
| Abbreviation: |
PMLSAGG |
| Full name: |
PatternMatchListAggregate |
| Belongs to: |
|
| Operations: |
patternMatch |
| Abbreviation: |
PMPLCAT |
| Full name: |
PatternMatchPolynomialCategory |
| Belongs to: |
|
| Operations: |
patternMatch |
| Abbreviation: |
PMDOWN |
| Full name: |
PatternMatchPushDown |
| Belongs to: |
|
| Operations: |
fixPredicate patternMatch |
| Abbreviation: |
PMQFCAT |
| Full name: |
PatternMatchQuotientFieldCategory |
| Belongs to: |
|
| Operations: |
patternMatch |
| Abbreviation: |
PATRES2 |
| Full name: |
PatternMatchResultFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
PMSYM |
| Full name: |
PatternMatchSymbol |
| Belongs to: |
|
| Operations: |
patternMatch |
| Abbreviation: |
PMTOOLS |
| Full name: |
PatternMatchTools |
| Belongs to: |
|
| Operations: |
patternMatch patternMatchTimes |
| Abbreviation: |
PATMATCH |
| Full name: |
PatternMatch |
| Belongs to: |
|
| Operations: |
Is is? |
| Abbreviation: |
PERMAN |
| Full name: |
Permanent |
| Belongs to: |
|
| Operations: |
permanent |
| Abbreviation: |
PGE |
| Full name: |
PermutationGroupExamples |
| Belongs to: |
|
| Operations: |
abelianGroup alternatingGroup
cyclicGroup dihedralGroup janko2
mathieu11 mathieu12 mathieu22
mathieu23 mathieu24 rubiksGroup
symmetricGroup youngGroup |
| Abbreviation: |
PICOERCE |
| Full name: |
PiCoercions |
| Belongs to: |
|
| Operations: |
coerce |
| Abbreviation: |
PLOT1 |
| Full name: |
PlotFunctions1 |
| Belongs to: |
|
| Operations: |
plot plotPolar |
| Abbreviation: |
PLOTTOOL |
| Full name: |
PlotTools |
| Belongs to: |
|
| Operations: |
calcRanges |
| Abbreviation: |
PTFUNC2 |
| Full name: |
PointFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
PTPACK |
| Full name: |
PointPackage |
| Belongs to: |
|
| Operations: |
color hue phiCoord rCoord shade
thetaCoord xCoord yCoord zCoord |
| Abbreviation: |
PFOQ |
| Full name: |
PointsOfFiniteOrderRational |
| Belongs to: |
|
| Operations: |
order torsion? torsionIfCan |
| Abbreviation: |
PFOTOOLS |
| Full name: |
PointsOfFiniteOrderTools |
| Belongs to: |
|
| Operations: |
badNum doubleDisc getGoodPrime mix
polyred |
| Abbreviation: |
PFO |
| Full name: |
PointsOfFiniteOrder |
| Belongs to: |
|
| Operations: |
order torsion? torsionIfCan |
| Abbreviation: |
POLTOPOL |
| Full name: |
PolToPol |
| Belongs to: |
|
| Operations: |
dmpToNdmp dmpToP ndmpToDmp ndmpToP
pToDmp pToNdmp |
| Abbreviation: |
PGROEB |
| Full name: |
PolyGroebner |
| Belongs to: |
|
| Operations: |
lexGroebner totalGroebner |
| Abbreviation: |
PAN2EXPR |
| Full name: |
PolynomialAN2Expression |
| Belongs to: |
|
| Operations: |
coerce |
| Abbreviation: |
POLYLIFT |
| Full name: |
PolynomialCategoryLifting |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
POLYCATQ |
| Full name: |
PolynomialCategoryQuotientFunctions |
| Belongs to: |
|
| Operations: |
isExpt isPlus isPower isTimes
mainVariable multivariate univariate
variables |
| Abbreviation: |
PFBRU |
| Full name: |
PolynomialFactorizationByRecursionUn
ivariate |
| Belongs to: |
|
| Operations: |
bivariateSLPEBR factorByRecursion
factorSFBRlcUnit
factorSquareFreeByRecursion randomR
solveLinearPolynomialEquationByRecur
sion |
| Abbreviation: |
PFBR |
| Full name: |
PolynomialFactorizationByRecursion |
| Belongs to: |
|
| Operations: |
bivariateSLPEBR factorByRecursion
factorSFBRlcUnit
factorSquareFreeByRecursion randomR
solveLinearPolynomialEquationByRecur
sion |
| Abbreviation: |
POLY2 |
| Full name: |
PolynomialFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
PGCD |
| Full name: |
PolynomialGcdPackage |
| Belongs to: |
|
| Operations: |
gcd gcdPrimitive |
| Abbreviation: |
PINTERPA |
| Full name: |
PolynomialInterpolationAlgorithms |
| Belongs to: |
|
| Operations: |
LagrangeInterpolation |
| Abbreviation: |
PINTERP |
| Full name: |
PolynomialInterpolation |
| Belongs to: |
|
| Operations: |
interpolate |
| Abbreviation: |
PNTHEORY |
| Full name: |
PolynomialNumberTheoryFunctions |
| Belongs to: |
|
| Operations: |
bernoulli chebyshevT chebyshevU
cyclotomic euler fixedDivisor
hermite laguerre legendre |
| Abbreviation: |
POLYROOT |
| Full name: |
PolynomialRoots |
| Belongs to: |
|
| Operations: |
froot qroot rroot |
| Abbreviation: |
SOLVEFOR |
| Full name: |
PolynomialSolveByFormulas |
| Belongs to: |
|
| Operations: |
aCubic aLinear aQuadratic aQuartic
aSolution cubic linear mapSolve
quadratic quartic solve |
| Abbreviation: |
PSQFR |
| Full name: |
PolynomialSquareFree |
| Belongs to: |
|
| Operations: |
squareFree |
| Abbreviation: |
POLY2UP |
| Full name: |
PolynomialToUnivariatePolynomial |
| Belongs to: |
|
| Operations: |
univariate |
| Abbreviation: |
LIMITPS |
| Full name: |
PowerSeriesLimitPackage |
| Belongs to: |
|
| Operations: |
complexLimit limit |
| Abbreviation: |
PRIMARR2 |
| Full name: |
PrimitiveArrayFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce scan |
| Abbreviation: |
PRIMELT |
| Full name: |
PrimitiveElement |
| Belongs to: |
|
| Operations: |
primitiveElement |
| Abbreviation: |
ODEPRIM |
| Full name: |
PrimitiveRatDE |
| Belongs to: |
|
| Operations: |
denomLODE |
| Abbreviation: |
ODEPRRIC |
| Full name: |
PrimitiveRatRicDE |
| Belongs to: |
|
| Operations: |
changevar constantCoefficientRicDE
denomRicDE leadingCoefficientRicDE
polyRicDE singRicDE |
| Abbreviation: |
PRINT |
| Full name: |
PrintPackage |
| Belongs to: |
|
| Operations: |
print |
| Abbreviation: |
INTPAF |
| Full name: |
PureAlgebraicIntegration |
| Belongs to: |
|
| Operations: |
palgLODE palgRDE palgextint palgint
palglimint |
| Abbreviation: |
ODEPAL |
| Full name: |
PureAlgebraicLODE |
| Belongs to: |
|
| Operations: |
algDsolve |
| Abbreviation: |
QALGSET2 |
| Full name: |
QuasiAlgebraicSet2 |
| Belongs to: |
|
| Operations: |
radicalSimplify |
| Abbreviation: |
QUATCT2 |
| Full name: |
QuaternionCategoryFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
QFCAT2 |
| Full name: |
QuotientFieldCategoryFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
REP |
| Full name: |
RadicalEigenPackage |
| Belongs to: |
|
| Operations: |
eigenMatrix gramschmidt normalise
orthonormalBasis radicalEigenvalues
radicalEigenvector
radicalEigenvectors |
| Abbreviation: |
SOLVERAD |
| Full name: |
RadicalSolvePackage |
| Belongs to: |
|
| Operations: |
contractSolve radicalRoots
radicalSolve |
| Abbreviation: |
RADUTIL |
| Full name: |
RadixUtilities |
| Belongs to: |
|
| Operations: |
radix |
| Abbreviation: |
RANDSRC |
| Full name: |
RandomNumberSource |
| Belongs to: |
|
| Operations: |
randnum reseed size |
| Abbreviation: |
RATFACT |
| Full name: |
RationalFactorize |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
DEFINTRF |
| Full name: |
RationalFunctionDefiniteIntegration |
| Belongs to: |
|
| Operations: |
integrate |
| Abbreviation: |
RFFACTOR |
| Full name: |
RationalFunctionFactorizer |
| Belongs to: |
|
| Operations: |
factorFraction |
| Abbreviation: |
RFFACT |
| Full name: |
RationalFunctionFactor |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
INTRF |
| Full name: |
RationalFunctionIntegration |
| Belongs to: |
|
| Operations: |
extendedIntegrate infieldIntegrate
internalIntegrate limitedIntegrate |
| Abbreviation: |
LIMITRF |
| Full name: |
RationalFunctionLimitPackage |
| Belongs to: |
|
| Operations: |
complexLimit limit |
| Abbreviation: |
SIGNRF |
| Full name: |
RationalFunctionSign |
| Belongs to: |
|
| Operations: |
sign |
| Abbreviation: |
SUMRF |
| Full name: |
RationalFunctionSum |
| Belongs to: |
|
| Operations: |
sum |
| Abbreviation: |
RF |
| Full name: |
RationalFunction |
| Belongs to: |
|
| Operations: |
coerce eval mainVariable
multivariate univariate variables |
| Abbreviation: |
INTRAT |
| Full name: |
RationalIntegration |
| Belongs to: |
|
| Operations: |
extendedint infieldint integrate
limitedint |
| Abbreviation: |
ODERAT |
| Full name: |
RationalLODE |
| Belongs to: |
|
| Operations: |
ratDsolve |
| Abbreviation: |
RATRET |
| Full name: |
RationalRetractions |
| Belongs to: |
|
| Operations: |
rational rational? rationalIfCan |
| Abbreviation: |
ODERTRIC |
| Full name: |
RationalRicDE |
| Belongs to: |
|
| Operations: |
changevar constantCoefficientRicDE
polyRicDE ricDsolve singRicDE |
| Abbreviation: |
RTODETLS |
| Full name: |
RatODETools |
| Belongs to: |
|
| Operations: |
genericPolynomial |
| Abbreviation: |
REALSOLV |
| Full name: |
RealSolvePackage |
| Belongs to: |
|
| Operations: |
realSolve solve |
| Abbreviation: |
REAL0Q |
| Full name: |
RealZeroPackageQ |
| Belongs to: |
|
| Operations: |
realZeros refine |
| Abbreviation: |
REAL0 |
| Full name: |
RealZeroPackage |
| Belongs to: |
|
| Operations: |
midpoint midpoints realZeros refine |
| Abbreviation: |
RMCAT2 |
| Full name: |
RectangularMatrixCategoryFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce |
| Abbreviation: |
RDIV |
| Full name: |
ReducedDivisor |
| Belongs to: |
|
| Operations: |
order |
| Abbreviation: |
ODERED |
| Full name: |
ReduceLODE |
| Belongs to: |
|
| Operations: |
reduceLODE |
| Abbreviation: |
REDORDER |
| Full name: |
ReductionOfOrder |
| Belongs to: |
|
| Operations: |
ReduceOrder |
| Abbreviation: |
REPDB |
| Full name: |
RepeatedDoubling |
| Belongs to: |
|
| Operations: |
double |
| Abbreviation: |
REPSQ |
| Full name: |
RepeatedSquaring |
| Belongs to: |
|
| Operations: |
expt |
| Abbreviation: |
REP1 |
| Full name: |
RepresentationPackage1 |
| Belongs to: |
|
| Operations: |
antisymmetricTensors
createGenericMatrix
permutationRepresentation
symmetricTensors tensorProduct |
| Abbreviation: |
REP2 |
| Full name: |
RepresentationPackage2 |
| Belongs to: |
|
| Operations: |
areEquivalent? completeEchelonBasis
createRandomElement cyclicSubmodule
isAbsolutelyIrreducible? meatAxe
scanOneDimSubspaces split
standardBasisOfCyclicSubmodule |
| Abbreviation: |
RESLATC |
| Full name: |
ResolveLatticeCompletion |
| Belongs to: |
|
| Operations: |
coerce |
| Abbreviation: |
RETSOL |
| Full name: |
RetractSolvePackage |
| Belongs to: |
|
| Operations: |
solveRetract |
| Abbreviation: |
SAERFFC |
| Full name: |
SAERationalFunctionAlgFactor |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
SEGBIND2 |
| Full name: |
SegmentBindingFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
SEG2 |
| Full name: |
SegmentFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
SAEFACT |
| Full name: |
SimpleAlgebraicExtensionAlgFactor |
| Belongs to: |
|
| Operations: |
factor |
| Abbreviation: |
DFLOATSFUN |
| Full name: |
DoubleFloatSpecialFunctions |
| Belongs to: |
|
| Operations: |
Beta Gamma airyAi airyBi besselI
besselJ besselK besselY digamma
hypergeometric0F1 logGamma polygamma |
| Abbreviation: |
SCACHE |
| Full name: |
SortedCache |
| Belongs to: |
|
| Operations: |
cache clearCache enterInCache |
| Abbreviation: |
SUP2 |
| Full name: |
SparseUnivariatePolynomialFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
SPECOUT |
| Full name: |
SpecialOutputPackage |
| Belongs to: |
|
| Operations: |
outputAsFortran outputAsScript
outputAsTex |
| Abbreviation: |
MATSTOR |
| Full name: |
StorageEfficientMatrixOperations |
| Belongs to: |
|
| Operations: |
^ copy! leftScalarTimes! minus!
plus! power! rightScalarTimes!
times! |
| Abbreviation: |
STREAM1 |
| Full name: |
StreamFunctions1 |
| Belongs to: |
|
| Operations: |
concat |
| Abbreviation: |
STREAM2 |
| Full name: |
StreamFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce scan |
| Abbreviation: |
STREAM3 |
| Full name: |
StreamFunctions3 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
STTF |
| Full name: |
StreamTranscendentalFunctions |
| Belongs to: |
|
| Operations: |
^ acos acosh acot acoth acsc acsch
asec asech asin asinh atan atanh cos
cosh cot coth csc csch exp log sec
sech sin sincos sinh sinhcosh tan
tanh |
| Abbreviation: |
SUBRESP |
| Full name: |
SubResultantPackage |
| Belongs to: |
|
| Operations: |
primitivePart subresultantVector |
| Abbreviation: |
SYMFUNC |
| Full name: |
SymmetricFunctions |
| Belongs to: |
|
| Operations: |
symFunc |
| Abbreviation: |
SGCF |
| Full name: |
SymmetricGroupCombinatoricFunctions |
| Belongs to: |
|
| Operations: |
coleman inverseColeman
listYoungTableaus makeYoungTableau
nextColeman nextLatticePermutation
nextPartition
numberOfImproperPartitions subSet
unrankImproperPartitions0
unrankImproperPartitions1 |
| Abbreviation: |
ODESYS |
| Full name: |
SystemODESolver |
| Belongs to: |
|
| Operations: |
solveInField triangulate |
| Abbreviation: |
SYSSOLP |
| Full name: |
SystemSolvePackage |
| Belongs to: |
|
| Operations: |
solve triangularSystems |
| Abbreviation: |
TABLBUMP |
| Full name: |
TableauxBumpers |
| Belongs to: |
|
| Operations: |
bat bat1 bumprow bumptab bumptab1
inverse lex maxrow mr slex tab tab1
untab |
| Abbreviation: |
TANEXP |
| Full name: |
TangentExpansions |
| Belongs to: |
|
| Operations: |
tanAn tanNa tanSum |
| Abbreviation: |
TOOLSIGN |
| Full name: |
ToolsForSign |
| Belongs to: |
|
| Operations: |
direction nonQsign sign |
| Abbreviation: |
DRAWCURV |
| Full name: |
TopLevelDrawFunctionsForAlgebraicCur
ves |
| Belongs to: |
|
| Operations: |
draw |
| Abbreviation: |
DRAWCFUN |
| Full name: |
TopLevelDrawFunctionsForCompiledFunc
tions |
| Belongs to: |
|
| Operations: |
draw makeObject recolor |
| Abbreviation: |
DRAW |
| Full name: |
TopLevelDrawFunctions |
| Belongs to: |
|
| Operations: |
draw makeObject |
| Abbreviation: |
TOPSP |
| Full name: |
TopLevelThreeSpace |
| Belongs to: |
|
| Operations: |
createThreeSpace |
| Abbreviation: |
INTHERTR |
| Full name: |
TranscendentalHermiteIntegration |
| Belongs to: |
|
| Operations: |
HermiteIntegrate |
| Abbreviation: |
INTTR |
| Full name: |
TranscendentalIntegration |
| Belongs to: |
|
| Operations: |
expextendedint expintegrate
expintfldpoly explimitedint
primextendedint primextintfrac
primintegrate primintegratefrac
primintfldpoly primlimintfrac
primlimitedint |
| Abbreviation: |
TRMANIP |
| Full name: |
TranscendentalManipulations |
| Belongs to: |
|
| Operations: |
cos2sec cosh2sech cot2tan cot2trig
coth2tanh coth2trigh csc2sin
csch2sinh expand expandLog
expandPower htrigs removeCosSq
removeCoshSq removeSinSq
removeSinhSq sec2cos sech2cosh
simplify simplifyExp sin2csc
sinh2csch tan2cot tan2trig tanh2coth
tanh2trigh |
| Abbreviation: |
RDETR |
| Full name: |
TranscendentalRischDE |
| Belongs to: |
|
| Operations: |
DSPDE SPDE baseRDE expRDE primRDE |
| Abbreviation: |
SOLVESER |
| Full name: |
TransSolvePackageService |
| Belongs to: |
|
| Operations: |
decomposeFunc unvectorise |
| Abbreviation: |
SOLVETRA |
| Full name: |
TransSolvePackage |
| Belongs to: |
|
| Operations: |
solve |
| Abbreviation: |
TRIMAT |
| Full name: |
TriangularMatrixOperations |
| Belongs to: |
|
| Operations: |
LowTriBddDenomInv UpTriBddDenomInv |
| Abbreviation: |
TRIGMNIP |
| Full name: |
TrigonometricManipulations |
| Belongs to: |
|
| Operations: |
complexElementary complexNormalize
imag real real? trigs |
| Abbreviation: |
CLIP |
| Full name: |
TwoDimensionalPlotClipping |
| Belongs to: |
|
| Operations: |
clip clipParametric clipWithRanges |
| Abbreviation: |
TWOFACT |
| Full name: |
TwoFactorize |
| Belongs to: |
|
| Operations: |
generalSqFr generalTwoFactor
twoFactor |
| Abbreviation: |
UNIFACT |
| Full name: |
UnivariateFactorize |
| Belongs to: |
|
| Operations: |
factor factorSquareFree genFact
henselFact henselfact quadratic
sqroot trueFactors |
| Abbreviation: |
ULS2 |
| Full name: |
UnivariateLaurentSeriesFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
UPOLYC2 |
| Full name: |
UnivariatePolynomialCategoryFunction
s2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
UPCDEN |
| Full name: |
UnivariatePolynomialCommonDenominato
r |
| Belongs to: |
|
| Operations: |
clearDenominator commonDenominator
splitDenominator |
| Abbreviation: |
UP2 |
| Full name: |
UnivariatePolynomialFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
UPSQFREE |
| Full name: |
UnivariatePolynomialSquareFree |
| Belongs to: |
|
| Operations: |
BumInSepFFE squareFree
squareFreePart |
| Abbreviation: |
UPXS2 |
| Full name: |
UnivariatePuiseuxSeriesFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
UTS2 |
| Full name: |
UnivariateTaylorSeriesFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
UTSODE |
| Full name: |
UnivariateTaylorSeriesODESolver |
| Belongs to: |
|
| Operations: |
mpsode ode ode1 ode2 stFunc1 stFunc2
stFuncN |
| Abbreviation: |
UNISEG2 |
| Full name: |
UniversalSegmentFunctions2 |
| Belongs to: |
|
| Operations: |
map |
| Abbreviation: |
UDPO |
| Full name: |
UserDefinedPartialOrdering |
| Belongs to: |
|
| Operations: |
getOrder largest less? more?
setOrder userOrdered? |
| Abbreviation: |
UDVO |
| Full name: |
UserDefinedVariableOrdering |
| Belongs to: |
|
| Operations: |
getVariableOrder resetVariableOrder
setVariableOrder |
| Abbreviation: |
VECTOR2 |
| Full name: |
VectorFunctions2 |
| Belongs to: |
|
| Operations: |
map reduce scan |
| Abbreviation: |
VIEWDEF |
| Full name: |
ViewDefaultsPackage |
| Belongs to: |
|
| Operations: |
axesColorDefault lineColorDefault
pointColorDefault pointSizeDefault
tubePointsDefault tubeRadiusDefault
unitsColorDefault var1StepsDefault
var2StepsDefault viewDefaults
viewPosDefault viewSizeDefault
viewWriteAvailable viewWriteDefault |
| Abbreviation: |
VIEW |
| Full name: |
ViewportPackage |
| Belongs to: |
|
| Operations: |
coerce drawCurves graphCurves |
| Abbreviation: |
WEIER |
| Full name: |
WeierstrassPreparation |
| Belongs to: |
|
| Operations: |
cfirst clikeUniv crest qqq sts2stst
weierstrass |
| Abbreviation: |
WFFINTBS |
| Full name: |
WildFunctionFieldIntegralBasis |
| Belongs to: |
|
| Operations: |
integralBasis listSquaredFactors |