| Index Entry | Section |
|---|
|
| H | | |
|---|
| H2basis | D.6.13.5 H2basis |
| h_increasing_knapsack | D.12.3.54 h_increasing_knapsack |
| Hamburger-Noether expansion | D.6.1 alexpoly_lib |
| Hamburger-Noether expansion | D.6.11 hnoether_lib |
| Hamburger-Noether expansions | D.10.1.1 Adj_div |
| Handling graded modules | A.3.5 Handling graded modules |
| hardware platform | 5.1.151 system |
| hasAlgExtensionCoefficient | D.2.11.21 hasAlgExtensionCoefficient |
| hasCommutativeVars | D.2.11.18 hasCommutativeVars |
| hasGlobalOrdering | D.2.11.19 hasGlobalOrdering |
| hashesToFan | D.15.16.29 hashesToFan |
| hashToCone | D.15.16.28 hashToCone |
| hasLeftDenom | D.15.25.1 hasLeftDenom |
| hasMixedOrdering | D.2.11.20 hasMixedOrdering |
| hasNumericCoeffs | D.2.11.17 hasNumericCoeffs |
| hasRightDenom | D.15.25.2 hasRightDenom |
| hasTransExtensionCoefficient | D.2.11.22 hasTransExtensionCoefficient |
| Hcode | D.6.3.4 Hcode |
| headStand | D.3.1.28 headStand |
| heightZ | D.4.22.5 heightZ |
| help | 5.1.52 help |
| help browsers | 3.1.3 The online help system |
| help browsers, dummy | 3.1.3 The online help system |
| help browsers, dummy | 3.1.3 The online help system |
| help browsers, emacs | 3.1.3 The online help system |
| help browsers, html | 3.1.3 The online help system |
| help browsers, setting command to use | 3.1.3 The online help system |
| help browsers, setting the | 5.1.151 system |
| Help string | 3.7.3 Help string |
| help, accessing over the net | 3.1.6 Command line options |
| help, online help system | 3.1.3 The online help system |
| Hensel | 5.1.34 factmodd |
| hermiteNormalForm | D.15.23.48 hermiteNormalForm |
| hess.lib | D.15.19 hess_lib |
| hess_lib | D.15.19 hess_lib |
| hessenberg | 5.1.151 system |
| hessenberg | D.3.2.17 hessenberg |
| HHnormalForm | D.15.6.7 HHnormalForm |
| highcorner | 5.1.53 highcorner |
| hilb | 5.1.54 hilb |
| Hilbert function | 5.1.149 stdhilb |
| Hilbert function | C.2 Hilbert function |
| Hilbert series | C.2 Hilbert function |
| Hilbert-driven GB algorithm | A.2.2 Groebner basis conversion |
| hilbert4ti2 | D.4.27.2 hilbert4ti2 |
| hilbertBasis | D.13.2.25 hilbertBasis |
| HilbertClassPoly | D.12.2.11 HilbertClassPoly |
| hilbertSeries | D.15.23.50 hilbertSeries |
| HilbertSeries | D.7.3.1 HilbertSeries |
| HilbertWeights | D.7.3.2 HilbertWeights |
| hilbPoly | D.2.8.20 hilbPoly |
| hilbvec | D.8.2.7 hilbvec |
| hnexpansion | D.6.11.1 hnexpansion |
| hnoether.lib | D.6.11 hnoether_lib |
| hnoether_lib | D.6.11 hnoether_lib |
| holonomic rank | 7.7.22 dmodloc_lib |
| holonomicRank | 7.7.22.0. holonomicRank |
| Hom | D.4.8.9 Hom |
| hom | D.15.21.44 hom |
| hom_kernel | D.4.8.15 hom_kernel |
| HomJJ | D.4.18.4 HomJJ |
| homog | 5.1.55 homog |
| homog_part | D.15.35.33 homog_part |
| homog_parts | D.15.35.34 homog_parts |
| homogeneitySpace | D.13.4.38 homogeneitySpace |
| homogfacFirstQWeyl | 7.7.14.0. homogfacFirstQWeyl |
| homogfacFirstQWeyl_all | 7.7.14.0. homogfacFirstQWeyl_all |
| homogfacNthQWeyl | 7.7.14.0. homogfacNthQWeyl |
| homogfacNthQWeyl_all | 7.7.14.0. homogfacNthQWeyl_all |
| homolog.lib | D.4.8 homolog_lib |
| homolog_lib | D.4.8 homolog_lib |
| homology | D.4.8.10 homology |
| homomorphism | D.15.21.28 homomorphism |
| Hosten-Sturmfels algorithm | C.6.2.3 The algorithm of Hosten and Sturmfels |
| How to enter and exit | 3.1.1 How to enter and exit |
| How to use this manual | 2.2 How to use this manual |
| howto, download | E.4 Download instructions |
| howto, install on Macintosh | E.7 Macintosh installation instructions |
| howto, install on Unix | E.5 Unix installation instructions |
| howto, install on Windows | E.6 Windows installation instructions |
| hres | 5.1.56 hres |
| hStarVector | D.13.2.23 hStarVector |
| html, default help | 3.1.3 The online help system |
| Hurwitz numbers | D.4.6.6 gromovWitten |
| Hurwitz numbers | D.4.6.7 computeGromovWitten |
| hVector | D.13.2.24 hVector |
| hyperel.lib | D.12.4 hyperel_lib |
| hyperel_lib | D.12.4 hyperel_lib |
| hyperplane | D.14.1.1 arrSet |
| hyperplane arrangement | 7.7.4 dmod_lib |
| Hypersurface singularities, classification of | A.4.8 Classification of hypersurface singularities |
| hypersurface singularity | D.6.13 mondromy_lib |
|
| I | | |
|---|
| I-regular function | D.2.4.8 extendpoly |
| id | D.15.21.1 id |
| id2mod | D.2.8.16 id2mod |
| ideal | 4.5 ideal |
| ideal declarations | 4.5.1 ideal declarations |
| ideal declarations (plural) | 7.2.1.1 ideal declarations (plural) |
| ideal expressions | 4.5.2 ideal expressions |
| ideal expressions (plural) | 7.2.1.2 ideal expressions (plural) |
| Ideal membership | Properties |
| ideal operations | 4.5.3 ideal operations |
| ideal operations (plural) | 7.2.1.3 ideal operations (plural) |
| ideal related functions | 4.5.4 ideal related functions |
| ideal related functions (plural) | 7.2.1.4 ideal related functions (plural) |
| ideal, toric | C.6.1 Toric ideals |
| ideals | 6.4 Miscellaneous oddities |
| idealsimplify | D.6.2.3 idealsimplify |
| idealSplit | D.8.2.14 idealSplit |
| identifier | 6.5 Identifier resolution |
| Identifiers, syntax of | 3.5.3 Names |
| identifyvar | D.5.5.6 identifyvar |
| if | 5.2.9 if |
| image | D.15.21.24 image |
| image_of_variety | D.7.1.36 image_of_variety |
| ImageGroup | D.7.3.4 ImageGroup |
| imageLattice | D.15.23.16 imageLattice |
| ImageVariety | D.7.3.3 ImageVariety |
| imap | 5.1.57 imap |
| imap (plural) | 7.3.8 imap (plural) |
| Imap, option | 5.1.108 option |
| imapall | D.2.11.9 imapall |
| impart | 5.1.58 impart |
| Implemented algorithms | 3.4 Implemented algorithms |
| importfrom | 5.2.10 importfrom |
| iMult | D.4.18.8 iMult |
| IN | 5.1.73 lead |
| inCenter | 7.7.3.0. inCenter |
| inCentralizer | 7.7.3.0. inCentralizer |
| Incl | D.5.1.1 Incl |
| indepSet | 5.1.59 indepSet |
| Index | F. Index |
| indexed names | 3.5.2 Special characters |
| indexed names | 3.5.3 Names |
| indices, multi | 3.5.3 Names |
| indSet | D.4.15.12 indSet |
| inequalities | D.13.1.25 inequalities |
| info | Info help browsers |
| Info string | 3.8.4 Info string |
| inForm | 7.7.5.0. inForm |
| infRedTail, option | 5.1.108 option |
| iniD | D.5.5.26 iniD |
| init_debug | D.6.3.5 init_debug |
| initial | D.13.4.39 initial |
| initial form | 7.7.2 bfun_lib |
| initial ideal | 7.7.2 bfun_lib |
| initial ideal approach | 7.7.2 bfun_lib |
| initial ideal approach | 7.7.6 dmodvar_lib |
| initialForm | D.13.4.16 initialForm |
| initialIdeal | D.13.4.17 initialIdeal |
| initialIdealW | 7.7.5.0. initialIdealW |
| initialMalgrange | 7.7.5.0. initialMalgrange |
| injective_knapsack | D.12.3.55 injective_knapsack |
| inout.lib | D.2.5 inout_lib |
| inout_lib | D.2.5 inout_lib |
| input | 3.6 Input and output |
| insert | 4.10.3 list operations |
| insert | 5.1.60 insert |
| insertCone | D.13.1.49 insertCone |
| insertGenerator | 7.7.5.0. insertGenerator |
| instructions, downloading | E.4 Download instructions |
| instructions, Macintosh installation | E.7 Macintosh installation instructions |
| instructions, Unix installation | E.5 Unix installation instructions |
| instructions, Windows installation | E.6 Windows installation instructions |
| inSubring | D.4.2.3 inSubring |
| int | 4.6 int |
| int declarations | 4.6.1 int declarations |
| int expressions | 4.6.2 int expressions |
| int operations | 4.6.3 int operations |
| int related functions | 4.6.4 int related functions |
| intclMonIdeal | D.4.19.5 intclMonIdeal |
| intclToricRing | D.4.19.1 intclToricRing |
| integer division | 6.4 Miscellaneous oddities |
| integer programming | C.6.4 Integer programming |
| integral | D.15.35.8 integral |
| integral basis | D.4.9.1 integralBasis |
| integral basis | D.5.4.1 adjointIdeal |
| integral closure | D.4.18.1 normal |
| integral closure | D.4.18.2 normalP |
| integral closure | D.4.18.3 normalC |
| integral closure | D.4.19 normaliz_lib |
| integralBasis | D.4.9.1 integralBasis |
| integralbasis.lib | D.4.9 integralbasis_lib |
| integralbasis_lib | D.4.9 integralbasis_lib |
| integralIdeal | 7.7.5.0. integralIdeal |
| integralModule | 7.7.5.0. integralModule |
| integralSection | D.15.23.26 integralSection |
| integration of D-module | 7.7.5 dmodapp_lib |
| Interactive use | 3.1 Interactive use |
| InterDiv | D.5.6.1 InterDiv |
| interface, Emacs | 3.2 Emacs user interface |
| interiorLatticePoints | D.13.2.26 interiorLatticePoints |
| internalfunctions | D.6.3.6 internalfunctions |
| interpolate | D.8.3.5 interpolate |
| interpolation | 5.1.61 interpolation |
| interpret | D.15.21.46 interpret |
| interpretElem | D.15.21.49 interpretElem |
| interpretInv | D.15.21.47 interpretInv |
| interpretList | D.15.21.50 interpretList |
| interred | 5.1.62 interred |
| Interrupting SINGULAR | 3.1.4 Interrupting SINGULAR |
| intersect | 5.1.63 intersect |
| intersect (plural) | 7.3.9 intersect (plural) |
| intersectElim, option | 5.1.108 option |
| intersection | D.6.11.10 intersection |
| intersection lattice | D.14.1.37 arrFlats |
| intersection lattice | D.14.1.38 arrLattice |
| intersection multiplicity | D.6.1.9 charexp2inter |
| intersection multiplicity | D.6.11.10 intersection |
| Intersection theory | D.15.35 schubert_lib |
| intersectionDiv | D.5.9.1 intersectionDiv |
| IntersectionMatrix | D.6.6.8 IntersectionMatrix |
| intersectionValRingIdeals | D.4.19.10 intersectionValRingIdeals |
| intersectionValRings | D.4.19.9 intersectionValRings |
| intersectLattices | D.15.23.22 intersectLattices |
| intersectLists | D.15.8.1 intersectLists |
| intersectMon | D.4.14.6 intersectMon |
| intersectOrbitsWithMovingCone | D.15.16.16 intersectOrbitsWithMovingCone |
| intersectpar | D.2.4.21 intersectpar |
| intersectSyz, option | 5.1.108 option |
| IntersectWithSub | 7.7.13.0. IntersectWithSub |
| intersectZ | D.4.22.7 intersectZ |
| interval arithmetic | D.15.32 rootisolation_lib |
| intInverse | D.15.23.25 intInverse |
| intmat | 4.7 intmat |
| intmat declarations | 4.7.1 intmat declarations |
| intmat expressions | 4.7.2 intmat expressions |
| intmat operations | 4.7.4 intmat operations |
| intmat related functions | 4.7.5 intmat related functions |
| intmat type cast | 4.7.3 intmat type cast |
| intmat2mons | D.4.19.25 intmat2mons |
| intPart | D.12.3.9 intPart |
| intprog.lib | D.4.10 intprog_lib |
| intprog_lib | D.4.10 intprog_lib |
| intRank | D.15.23.17 intRank |
| Introduction | 2. Introduction |
| intRoot | D.12.3.10 intRoot |
| intRoots | 7.7.5.0. intRoots |
| intStrategy, option | 5.1.108 option |
| intvec | 4.8 intvec |
| intvec declarations | 4.8.1 intvec declarations |
| intvec expressions | 4.8.2 intvec expressions |
| intvec operations | 4.8.3 intvec operations |
| intvec related functions | 4.8.4 intvec related functions |
| invariant | D.15.9.3 curveDeligneNumber |
| invariant ring minimal generating set matrix group | D.7.1.5 invariant_algebra_reynolds |
| invariant ring minimal generating set permutation group | D.7.1.6 invariant_algebra_perm |
| Invariant theory | D.7 Invariant theory |
| Invariant Theory | A.5 Invariant Theory |
| invariant_algebra_perm | D.7.1.6 invariant_algebra_perm |
| invariant_algebra_reynolds | D.7.1.5 invariant_algebra_reynolds |
| invariant_basis | D.7.1.13 invariant_basis |
| invariant_basis_reynolds | D.7.1.14 invariant_basis_reynolds |
| invariant_ring | D.7.1.1 invariant_ring |
| invariant_ring_random | D.7.1.2 invariant_ring_random |
| InvariantQ | D.7.3.6 InvariantQ |
| invariantRing | D.7.2.1 invariantRing |
| InvariantRing | D.7.3.5 InvariantRing |
| invariants | D.6.11.6 invariants |
| invariants | D.15.9 curveInv_lib |
| invariants | D.15.9.4 curveColengthDerivations |
| Invariants of a finite group | A.5.2 Invariants of a finite group |
| Invariants of plane curve singularities | A.4.6 Invariants of plane curve singularities |
| inverse | D.3.2.1 inverse |
| inverse of a matrix via its LU-decomposition | 5.1.83 luinverse |
| inverse_B | D.3.2.2 inverse_B |
| inverse_L | D.3.2.3 inverse_L |
| inverse_modulus | D.12.3.38 inverse_modulus |
| inverseFourier | 7.7.5.0. inverseFourier |
| invertBirMap | D.5.4.2 invertBirMap |
| invertLeftFraction | D.15.30.14 invertLeftFraction |
| invertNcfrac | D.15.25.11 invertNcfrac |
| invertNumberMain | D.8.6.8 invertNumberMain |
| involut.lib | 7.7.10 involut_lib |
| involut_lib | 7.7.10 involut_lib |
| involution | 7.7.10.0. involution |
| invunit | D.6.13.2 invunit |
| iostruct | D.11.2.12 iostruct |
| irred_secondary_char0 | D.7.1.27 irred_secondary_char0 |
| irred_secondary_no_molien | D.7.1.30 irred_secondary_no_molien |
| irreddecMon | D.4.14.15 irreddecMon |
| irreducible power series | D.6.11.11 is_irred |
| irreducible secondary invariant | D.7.1.27 irred_secondary_char0 |
| irrRealizationDim | D.13.3.2 irrRealizationDim |
| is_active | D.6.15.4 is_active |
| is_bijective | D.4.2.8 is_bijective |
| is_cenBimodule | 7.7.20.0. is_cenBimodule |
| is_cenSubbimodule | 7.7.20.0. is_cenSubbimodule |
| is_ci | D.6.15.5 is_ci |
| is_complex | D.3.1.7 is_complex |
| is_fix_injective | D.12.3.59 is_fix_injective |
| is_h_injective | D.12.3.58 is_h_injective |
| is_injective | D.4.2.6 is_injective |
| is_irred | D.6.11.11 is_irred |
| is_is | D.6.15.6 is_is |
| is_nested | D.4.16.7 is_nested |
| is_NND | D.6.11.14 is_NND |
| is_NP | D.4.16.6 is_NP |
| is_prime | D.12.3.39 is_prime |
| is_primitive_root | D.12.3.35 is_primitive_root |
| is_pure | 7.7.19.0. is_pure |
| is_reg | D.6.15.7 is_reg |
| is_regs | D.6.15.8 is_regs |
| is_surjective | D.4.2.7 is_surjective |
| is_zero | D.2.8.5 is_zero |
| isAface | D.15.16.1 isAface |
| isAntiEndo | 7.7.10.0. isAntiEndo |
| isartinianMon | D.4.14.12 isartinianMon |
| isBounded | D.13.2.27 isBounded |
| isCanonical | D.13.2.28 isCanonical |
| isCartan | 7.7.3.0. isCartan |
| isCentral | 7.7.16.0. isCentral |
| isCI | 5.1.2 attrib |
| isCI | D.4.4.5 isCI |
| isCM | 5.1.2 attrib |
| isCM | D.4.8.11 isCM |
| isCMcod2 | D.6.16.1 isCMcod2 |
| isCommutative | 7.7.16.0. isCommutative |
| isCompatible | D.13.1.50 isCompatible |
| isCompressed | D.13.2.29 isCompressed |
| isDenom | D.15.26.1 isDenom |
| isEqualDivisor | D.15.11.6 isEqualDivisor |
| isEquising | D.6.8.4 isEquising |
| isFlat | D.4.8.12 isFlat |
| isFsat | 7.7.5.0. isFsat |
| isFullSpace | D.13.1.26 isFullSpace |
| isgenericMon | D.4.14.13 isgenericMon |
| isGorenstein | D.13.2.30 isGorenstein |
| isGradedRingHomomorphism | D.15.23.11 isGradedRingHomomorphism |
| isGroup | D.15.23.9 isGroup |
| isGroupHomomorphism | D.15.23.10 isGroupHomomorphism |
| isHolonomic | 7.7.4.0. isHolonomic |
| isHomg | 5.1.2 attrib |
| isHomogeneous | D.15.23.37 isHomogeneous |
| ishyper | D.12.4.1 ishyper |
| isInS | D.15.30.3 isInS |
| isInt | 7.7.5.0. isInt |
| isIntegralSurjective | D.15.23.23 isIntegralSurjective |
| isInvertibleLeftFraction | D.15.30.13 isInvertibleLeftFraction |
| isInvertibleNcfrac | D.15.25.10 isInvertibleNcfrac |
| isInvolution | 7.7.10.0. isInvolution |
| isirreducibleMon | D.4.14.11 isirreducibleMon |
| isLatticeEmpty | D.13.2.31 isLatticeEmpty |
| isLocalizationRegular | D.15.15.4 isLocalizationRegular |
| isLocallyFree | D.4.8.13 isLocallyFree |
| isMonomial | D.4.14.1 isMonomial |
| isNC | 7.7.16.0. isNC |
| isNormal | D.13.2.32 isNormal |
| isOnCurve | D.12.3.22 isOnCurve |
| isoncurve | D.12.4.2 isoncurve |
| isOneFraction | D.15.30.16 isOneFraction |
| isOneNcfrac | D.15.25.4 isOneNcfrac |
| isOrigin | D.13.1.27 isOrigin |
| isparam | D.12.8.16 isparam |
| isPositive | D.15.23.34 isPositive |
| isprimaryMon | D.4.14.10 isprimaryMon |
| isprimeMon | D.4.14.9 isprimeMon |
| isPrimitiveSublattice | D.15.23.24 isPrimitiveSublattice |
| isPure | D.13.1.51 isPure |
| isPureTensor | 7.7.1.0. isPureTensor |
| isQuotientRing | D.2.11.23 isQuotientRing |
| isRational | 7.7.4.0. isRational |
| isReflexive | D.13.2.33 isReflexive |
| isReg | D.4.8.14 isReg |
| isSB | 5.1.2 attrib |
| IsSCA | 7.7.16.0. IsSCA |
| isSimplicial | D.13.1.28 isSimplicial |
| isSmooth | D.13.2.34 isSmooth |
| isSublattice | D.15.23.15 isSublattice |
| isSubModule | D.2.11.24 isSubModule |
| isSymmetric | D.4.28.2 isSymmetric |
| isTame | D.6.10.1 isTame |
| isTerminal | D.13.2.35 isTerminal |
| isTorsionFree | D.15.23.33 isTorsionFree |
| isTwoSidedGB | 7.7.1.0. isTwoSidedGB |
| isuni | D.12.8.1 isuni |
| isUpperTriangular | 7.7.15.0. isUpperTriangular |
| isVar | 7.7.9.0. isVar |
| isVeryAmple | D.13.2.36 isVeryAmple |
| isWeyl | 7.7.16.0. isWeyl |
| isZeroElement | D.15.23.35 isZeroElement |
| isZeroFraction | D.15.30.15 isZeroFraction |
| isZeroNcfrac | D.15.25.3 isZeroNcfrac |
| iv2lp | 7.7.7.0. iv2lp |
| iv2lpList | 7.7.7.0. iv2lpList |
| iv2lpMat | 7.7.7.0. iv2lpMat |
| ivDHilbert | 7.7.7.0. ivDHilbert |
| ivDHilbertSickle | 7.7.7.0. ivDHilbertSickle |
| ivDimCheck | 7.7.7.0. ivDimCheck |
| ivHilbert | 7.7.7.0. ivHilbert |
| ivKDim | 7.7.7.0. ivKDim |
| ivL2lpI | 7.7.7.0. ivL2lpI |
| ivmatGaussian | D.15.32.7 ivmatGaussian |
| ivmatInit | D.15.32.4 ivmatInit |
| ivmatSet | D.15.32.5 ivmatSet |
| ivMaxIdeal | 7.7.7.0. ivMaxIdeal |
| ivMis2Base | 7.7.7.0. ivMis2Base |
| ivMis2Dim | 7.7.7.0. ivMis2Dim |
| ivOrdMisLex | 7.7.7.0. ivOrdMisLex |
| ivSickle | 7.7.7.0. ivSickle |
| ivSickleDim | 7.7.7.0. ivSickleDim |
| ivSickleHil | 7.7.7.0. ivSickleHil |
|
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