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Index Entry Section

O
Oaku-Takayama algorithm7.5.4 dmod_lib
Objects3.5.4 Objects
olga.lib7.5.21 olga_lib
olga_lib7.5.21 olga_lib
oneDimBelongSemigroupD.4.4.3 oneDimBelongSemigroup
oneNcfrac7.5.15.0. oneNcfrac
onesVectorD.13.2.59 onesVector
online help3.1.3 The online help system
open5.1.109 open
opentexD.9.2.2 opentex
operatorAlgebra7.10.2.1 operatorAlgebra
operatorBM7.5.4.0. operatorBM
operatorModulo7.5.4.0. operatorModulo
oppose7.3.19 oppose
opposite7.3.20 opposite
opposite polynomial5.1.153 system
opposite ring5.1.153 system
option5.1.110 option
option(warn)3.9.7 option(warn)
optionIsSetD.2.12.16 optionIsSet
or4.6.6 boolean operations
or6.3.2 Evaluation of logical expressions
orbitD.5.8 orbitparam_lib
orbitD.5.8.1 tangentGens
orbitD.5.8.4 parametrizeOrbit
orbitD.5.8.5 maxZeros
orbit_varietyD.7.1.33 orbit_variety
orbitConeOrbitsD.13.3.14 orbitConeOrbits
orbitConesD.13.3.5 orbitCones
orbitparam.libD.5.8 orbitparam_lib
orbitparam_libD.5.8 orbitparam_lib
ord5.1.111 ord
ord_testD.2.12.11 ord_test
order ideal, border basisD.4.31.1 borderBasis
order ideal, border basisD.4.31.2 modBorder
orderingD.15.3.5 diffAlgebraChangeOrd
orderingD.15.3.21 difformIsBigger
orderingD.15.3.22 difformIsSmaller
orderingsB.2.2 General definitions for orderings
orderings introductionB.2.1 Introduction to orderings
orderings, aB.2.8 Extra weight vector
orderings, globalB.2.3 Global orderings
orderings, LB.2.9 Pseudo ordering L
orderings, localB.2.4 Local orderings
orderings, MB.2.6 Matrix orderings
orderings, productB.2.7 Product orderings
ordstr5.1.112 ordstr
originD.13.2.2 origin
Orlik-SolomonD.14.1.29 arrOrlikSolomon
orthogonalizeD.3.2.5 orthogonalize
outerD.3.1.8 outer
OutputD.15.11.35 netMatrix
output3.6 Input and output
OutputD.15.14.1 catNets
OutputD.15.14.3 netBigIntMat
OutputD.15.14.4 netBigIntMatShort
OutputD.15.14.5 netCoefficientRing
OutputD.15.14.6 netIdeal
OutputD.15.14.7 netInt
OutputD.15.14.8 netBigInt
OutputD.15.14.9 netIntMat
OutputD.15.14.10 netIntMatShort
OutputD.15.14.11 netIntVector
OutputD.15.14.12 netIntVectorShort
OutputD.15.14.13 netNumber
OutputD.15.14.14 netList
OutputD.15.14.15 netMap
OutputD.15.14.16 netMap2
OutputD.15.14.17 netmatrix
OutputD.15.14.18 netmatrixShort
OutputD.15.14.19 netPoly
OutputD.15.14.20 netPrimePower
OutputD.15.14.21 netRing
OutputD.15.14.22 netString
OutputD.15.14.23 netvector
OutputD.15.14.24 netvectorShort
OutputD.15.14.25 stackNets
Output, formatting ofA.1.6 Formatting output
outputting monomials5.3.7 short

P
p-adic numbersp-adic numbers
package4.15 package
package declarations4.15.1 package declarations
package related functions4.15.2 package related functions
pairsetD.12.5.11 pairset
par5.1.113 par
par2varRingD.1.2 par2varRing
paraConicD.5.9.9 paraConic
parallel computingD.15.22 systhreads_lib
parallel skeletonsD.2.7 parallel_lib
parallel.libD.2.7 parallel_lib
parallel_libD.2.7 parallel_lib
ParallelizationA.1.8 Parallelization with ssi links
parallelizationD.2.7 parallel_lib
ParallelizationD.2.6 modular_lib
parallelizationD.2.11 resources_lib
parallelizationD.2.13 tasks_lib
parallelTestANDD.2.7.4 parallelTestAND
parallelTestORD.2.7.5 parallelTestOR
parallelWaitAllD.2.7.3 parallelWaitAll
parallelWaitFirstD.2.7.2 parallelWaitFirst
parallelWaitND.2.7.1 parallelWaitN
paramD.6.15.4 param
Parameter list3.7.2 Parameter list
parameter, as numbers4.14 number
ParametersA.1.5 Parameters
parameterSubstituteD.13.6.32 parameterSubstitute
parametric annihilator7.5.4 dmod_lib
parametric annihilator for variety7.5.7 dmodvar_lib
parametric idealD.2.4.1 grobcov
parametric idealD.2.4.8 extendpoly
parametric idealD.2.4.8 extendpoly
parametric idealD.2.4.9 extendGC
ParametrizationD.5.9 paraplanecurves_lib
parametrizationD.5.8 orbitparam_lib
parametrizationD.5.8.4 parametrizeOrbit
parametrizationD.6.15.4 param
Parametrization, image.D.5.9.10 testParametrization
parametrizeOrbitD.5.8.4 parametrizeOrbit
paraPlaneCurveD.5.9.3 paraPlaneCurve
paraplanecurves.libD.5.9 paraplanecurves_lib
paraplanecurves_libD.5.9 paraplanecurves_lib
pardeg5.1.114 pardeg
parstr5.1.115 parstr
partD.5.2.52 part
PartCD.5.2.54 PartC
partial fractionD.15.15 pfd_lib
partial_molienD.7.1.11 partial_molien
partitionsD.4.7.8 partitions
partitionsD.4.7.8 partitions
PartitionVarD.15.4.18 PartitionVar
ParToVarD.15.4.21 ParToVar
partOverD.5.2.55 partOver
partUnderD.5.2.56 partUnder
pathE.5 Used environment variables
path integralD.4.7 ellipticcovers_lib
Path namesPath names
pathsE.5 Used environment variables
pauseD.2.5.9 pause
PBW7.5.3 central_lib
PBW basisDefinition (PBW basis)
PBW_eqDeg7.5.3.0. PBW_eqDeg
PBW_maxDeg7.5.3.0. PBW_maxDeg
PBW_maxMonom7.5.3.0. PBW_maxMonom
pdiviD.2.4.3 pdivi
pdiviD.2.4.4 pnormalf
pdivi2D.2.9.4 pdivi2
pdivisorplusD.5.4.19 pdivisorplus
PerfectPowerTestD.12.1.3 PerfectPowerTest
permcolD.3.1.20 permcol
permrowD.3.1.21 permrow
permutationFromIntvecD.13.3.20 permutationFromIntvec
permutationsD.4.7.9 permute
permutations, sum, max, minD.15.2 combinat_lib
permutationToIntvecD.13.3.21 permutationToIntvec
permuteD.4.7.9 permute
permute_LD.10.1.13 permute_L
perron7.5.22.0. perron
perron.lib7.5.22 perron_lib
perron_lib7.5.22 perron_lib
Perturbation walkD.4.9.5 pwalk
PEsolveD.8.1.2 PEsolve
pFactorD.12.3.20 pFactor
pfdD.15.15.1 pfd
pfd.libD.15.15 pfd_lib
pfd_libD.15.15 pfd_lib
pfdMatD.15.15.9 pfdMat
Pfister, GerhardAcknowledgements
PH_aisD.14.3.3 PH_ais
PH_naisD.14.3.4 PH_nais
phindex.libD.14.3 phindex_lib
phindex_libD.14.3 phindex_lib
picksFormulaD.13.4.12 picksFormula
pid5.1.153 system
pIntersect7.5.2.0. pIntersect
pIntersectSyz7.5.2.0. pIntersectSyz
Pipe links4.9.6 Pipe links
plainInvariantsD.6.10.10 plainInvariants
planeCurD.6.6.5 planeCur
plotD.9.3.1 plot
plotRotD.9.4.2 plotRot
plotRotatedD.9.4.1 plotRotated
plotRotatedDirectD.9.4.4 plotRotatedDirect
plotRotatedListD.9.4.3 plotRotatedList
plotRotatedListFromSpecifyListD.9.4.5 plotRotatedListFromSpecifyList
PLURAL7.1 PLURAL
pluralD.2.12.18 hasCommutativeVars
PLURAL libraries7.5 PLURAL libraries
PLURAL LIBs7.5 PLURAL libraries
pmatD.2.5.3 pmat
pnormalfD.2.4.4 pnormalf
pnormalformD.2.9.7 pnormalform
PocklingtonLehmerD.12.3.18 PocklingtonLehmer
Poincare polynomialD.14.1.41 arrPoincare
pointid.libD.4.25 pointid_lib
pointid_libD.4.25 pointid_lib
Polar curvesA.4.3 Polar curves
PollardRhoD.12.3.19 PollardRho
pollTaskD.2.13.10 pollTask
polSol7.5.14.0. polSol
polSolFiniteRank7.5.14.0. polSolFiniteRank
poly4.16 poly
poly (plural)7.2.4 poly (plural)
poly declarations4.16.1 poly declarations
poly declarations (plural)7.2.4.1 poly declarations (plural)
poly expressions4.16.2 poly expressions
poly expressions (plural)7.2.4.2 poly expressions (plural)
poly operations4.16.3 poly operations
poly operations (plural)7.2.4.3 poly operations (plural)
poly related functions4.16.4 poly related functions
poly related functions (plural)7.2.4.4 poly related functions (plural)
poly2list7.5.5.0. poly2list
poly2zddD.14.4.16 poly2zdd
polyboriD.14.4 polybori_lib
PolyBoRi, Boolean Groebner BasisD.14.4.1 boolean_std
Polybori, Boolean Groebner BasisD.14.4.18 disp_zdd
PolyBoRi, Boolean Groebner BasisD.14.4.3 boolean_constant
PolyBoRi, Boolean Groebner BasisD.14.4.4 boolean_poly
PolyBoRi, Boolean Groebner BasisD.14.4.5 direct_boolean_poly
PolyBoRi, Boolean Groebner BasisD.14.4.6 recursive_boolean_poly
PolyBoRi, Boolean Groebner BasisD.14.4.7 boolean_ideal
PolyBoRi, Boolean Groebner BasisD.14.4.8 boolean_set
PolyBoRi, Boolean Groebner BasisD.14.4.9 from_boolean_constant
PolyBoRi, Boolean Groebner BasisD.14.4.10 from_boolean_poly
PolyBoRi, Boolean Groebner BasisD.14.4.11 direct_from_boolean_poly
PolyBoRi, Boolean Groebner BasisD.14.4.12 recursive_from_boolean_poly
PolyBoRi, Boolean Groebner BasisD.14.4.13 from_boolean_ideal
PolyBoRi, Boolean Groebner BasisD.14.4.14 from_boolean_set
PolyBoRi, Boolean Groebner BasisD.14.4.15 bvar
PolyBoRi, Boolean Groebner BasisD.14.4.17 zdd2poly
PolyBoRi, zero-supressed decision diagramD.14.4.16 poly2zdd
polybori.libD.14.4 polybori_lib
polybori.libD.14.4 polybori_lib
polybori_libD.14.4 polybori_lib
polyclass.libD.15.16 polyclass_lib
polyclass_libD.15.16 polyclass_lib
polyInterpolationD.4.8.2 polyInterpolation
polylib.libD.2.8 polylib_lib
polylib_libD.2.8 polylib_lib
polymakeD.13.4 polymake_lib
polymake.libD.13.4 polymake_lib
polymake_libD.13.4 polymake_lib
polymakePolytopeD.13.4.1 polymakePolytope
polynomialD.15.3.32 derivationFromPoly
Polynomial dataB. Polynomial data
polynomial functionsD.15.17 ringgb_lib
polynomial solutions7.5.14 dmodloc_lib
polynomial, opposite5.1.153 system
polynomialsD.15.16 polyclass_lib
polytope4.26 polytope
polytopeD.13.4 polymake_lib
polytopeViaInequalitiesD.13.2.32 polytopeViaInequalities
polytopeViaPointsD.13.2.33 polytopeViaPoints
polyVars7.5.14.0. polyVars
pos_defD.3.2.16 pos_def
posetD.14.1.38 arrLattice
positiveOrthantD.13.2.3 positiveOrthant
posweightD.6.21.8 posweight
Pottier algorithmC.6.2.2 The algorithm of Pottier
powerD.3.1.9 power
power setD.15.2.2 sublists
power_productsD.7.1.25 power_products
powerND.12.3.4 powerN
powerpolyXD.12.1.7 powerpolyX
powersumsD.12.7.12 powersums
powerXD.12.3.13 powerX
powSumSymD.5.2.9 powSumSym
PPolyHD.15.5.2 PPolyH
PPolyND.15.5.10 PPolyN
PPolyQpD.15.5.5 PPolyQp
PPolySD.15.5.8 PPolyS
preCompD.4.18.11 preComp
Preface1. Preface
preimage5.1.116 preimage
preimage7.5.19 ncpreim_lib
preimage (plural)7.3.21 preimage (plural)
preimage under a map between local rings, map between local rings, map between local and global ringsD.2.12.14 preimageLoc
preimageLatticeD.15.13.20 preimageLattice
preimageLocD.2.12.14 preimageLoc
preimageNC7.5.19.0. preimageNC
PrepD.2.4.6 Prep
prepareAssD.4.26.15 prepareAss
prepEmbDivD.5.14.6 prepEmbDiv
prepMatD.7.5.1 prepMat
prepRealclassifyD.6.4.17 prepRealclassify
prepSVD.10.1.8 prepSV
presentationD.15.11.36 presentation
presentTreeD.5.13.6 presentTree
presolve.libD.8.3 presolve_lib
presolve_libD.8.3 presolve_lib
primary decompositionD.4.26 primdec_lib
Primary decompositionA.3.9 Primary decomposition
primary decompositionD.4.27 primdecint_lib
primary decomposition of modulesD.4.18 mprimdec_lib
primary decomposition, numericalD.5.7 numerDecom_lib
primary_char0D.7.1.15 primary_char0
primary_char0_no_molienD.7.1.17 primary_char0_no_molien
primary_char0_no_molien_randomD.7.1.22 primary_char0_no_molien_random
primary_char0_randomD.7.1.20 primary_char0_random
primary_charpD.7.1.16 primary_charp
primary_charp_no_molienD.7.1.18 primary_charp_no_molien
primary_charp_no_molien_randomD.7.1.23 primary_charp_no_molien_random
primary_charp_randomD.7.1.21 primary_charp_random
primary_charp_withoutD.7.1.19 primary_charp_without
primary_charp_without_randomD.7.1.24 primary_charp_without_random
primary_invariantsD.7.1.3 primary_invariants
primary_invariants_randomD.7.1.4 primary_invariants_random
primdec.libD.4.26 primdec_lib
primdec_libD.4.26 primdec_lib
PrimdecAD.4.18.2 PrimdecA
PrimdecBD.4.18.3 PrimdecB
primdecGTZD.4.26.2 primdecGTZ
primdecGTZED.4.26.3 primdecGTZE
primdecint.libD.4.27 primdecint_lib
primdecint_libD.4.27 primdecint_lib
primdecMonD.4.17.16 primdecMon
primdecSYD.4.26.4 primdecSY
primdecSYED.4.26.5 primdecSYE
primdecZD.4.27.1 primdecZ
primdecZMD.4.27.2 primdecZM
prime5.1.117 prime
primeClosureD.4.23.6 primeClosure
primecoeffsD.2.3.18 primecoeffs
primefactors5.1.118 primefactors
primesD.2.3.13 primes
primitiv.libD.4.28 primitiv_lib
primitiv_libD.4.28 primitiv_lib
primitiveD.4.28.1 primitive
primitive elementD.4.28.1 primitive
primitive_extraD.4.28.2 primitive_extra
primitiveSpanD.15.13.27 primitiveSpan
primLD.12.3.8 primL
primListD.12.3.7 primList
primparamD.6.10.5 primparam
primRootD.4.34.3 primRoot
primTestD.4.18.10 primTest
principal intersection7.5.2 bfun_lib
print5.1.119 print
printD.14.1.5 arrPrintMatrix
printD.15.3.9 difformGenToString
printD.15.3.11 difformToString
printD.15.3.12 difformPrint
printD.15.3.34 derivationToString
printD.15.3.35 derivationPrint
printBettiD.15.11.17 printBetti
printf5.1.120 printf
printFreeModuleD.15.11.9 printFreeModule
printGraphD.4.7.2 printGraph
printGraphGD.5.15.22 printGraphG
printGroupD.15.13.8 printGroup
printHomD.15.11.12 printHom
printlevel5.3.6 printlevel
printMatrixD.15.11.8 printMatrix
printModuleD.15.11.11 printModule
printMoebiusD.14.1.44 printMoebius
printNormalFormEquationD.15.16.3 printNormalFormEquation
printPolyD.15.16.2 printPoly
printResolutionD.15.11.10 printResolution
printSheafD.5.15.10 printSheaf
printStackD.5.15.24 printStack
printTaskD.2.13.5 printTask
printVarietyD.5.15.2 printVariety
proc4.17 proc
proc declaration4.17.1 proc declaration
proc expression4.17.2 proc expression
Procedure definition3.7.1 Procedure definition
procedure, ASCII help3.8.7.1 mdouble
procedure, ASCII/Texinfo help3.8.7.3 msum
procedure, texinfo help3.8.7.2 mtriple
Procedure-specific commands3.7.5 Procedure-specific commands
Procedures3.7 Procedures
Procedures and libraries2.3.3 Procedures and libraries
Procedures and librariesA.1.2 Writing procedures and libraries
Procedures in a library3.8.6 Procedures in a library
procedures, help string3.7.3 Help string
procedures, static3.7.1 Procedure definition
procs with different argument types4.17.3 procs with different argument types
prodcritD.12.5.9 prodcrit
productD.2.3.14 product
productD.15.3.17 difformMul
productD.15.3.39 derivationMul
Product orderingsB.2.7 Product orderings
product variety, abstract varietyD.5.15.3 productVariety
productgroupD.15.13.29 productgroup
productVarietyD.5.15.3 productVariety
ProgrammingA.1 Programming
progress watch5.1.110 option
projective bundle, abstract variety, sheaf, enumeration of conicsD.5.15.7 projectiveBundle
projective dimension7.5.23 purityfiltration_lib
projective limesp-adic numbers
projective space, abstract varietyD.5.15.6 projectiveSpace
projectiveBundleD.5.15.7 projectiveBundle
projectiveDimension7.5.23.0. projectiveDimension
projectiveSpaceD.5.15.6 projectiveSpace
projectLatticeD.15.13.21 projectLattice
prompt3.1.2 The SINGULAR prompt
prompt, option5.1.110 option
propagatorD.4.7 ellipticcovers_lib
propagatorD.4.7.3 propagator
prot, option5.1.110 option
protocol of computations5.1.110 option
proximitymatrixD.6.1.5 proximitymatrix
prune5.1.121 prune
pruneModuleD.15.11.43 pruneModule
prwalkD.15.18.1 prwalk
Pseudo ordering LB.2.9 Pseudo ordering L
psigncndD.8.9.2 psigncnd
PtoCrepD.2.4.7 PtoCrep
Puiseux expansionD.6.1 alexpoly_lib
Puiseux expansionD.6.15 hnoether_lib
Puiseux pairsA.4.6 Invariants of plane curve singularities
Puiseux pairsD.6.15.6 invariants
puiseux2generatorsD.6.15.16 puiseux2generators
puiseuxExpansionD.13.6.3 puiseuxExpansion
pure tensor7.5.1 bimodules_lib
purelist7.5.23.0. purelist
purity7.5.23 purityfiltration_lib
purityFiltration7.5.23.0. purityFiltration
purityfiltration.lib7.5.23 purityfiltration_lib
purityfiltration_lib7.5.23 purityfiltration_lib
purityTriang7.5.23.0. purityTriang
pushForwardD.15.13.46 pushForward
pwalkD.4.9.5 pwalk
pyobject4.27 pyobject
pyobjectD.14.4 polybori_lib
pyobject declarations4.27.1 pyobject declarations
pyobject expressions4.27.2 pyobject expressions
pyobject operations4.27.3 pyobject operations
pyobject related functions4.27.4 pyobject related functions
pyramidD.15.4.12 pyramid
python_eval4.27.5 python_eval
python_import4.27.6 python_import
python_run4.27.7 python_run

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