| Index Entry | Section |
|---|
|
| M | | |
|---|
| M, ordering | B.2.6 Matrix orderings |
| m_merkle_hellman_decryption | D.12.3.50 m_merkle_hellman_decryption |
| m_merkle_hellman_encryption | D.12.3.49 m_merkle_hellman_encryption |
| m_merkle_hellman_transformation | D.12.3.48 m_merkle_hellman_transformation |
| Macdonald's formula | D.15.16 goettsche_lib |
| MacdonaldF | D.15.16.7 MacdonaldF |
| Macintosh installation | E.8 Macintosh installation instructions |
| magnitude | D.11.4.7 magnitude |
| makeDivisor | D.15.13.1 makeDivisor |
| makeFormalDivisor | D.15.13.11 makeFormalDivisor |
| makeGraph | D.4.6.1 makeGraph |
| makeGraphVE | D.15.33.21 makeGraphVE |
| makeHeisenberg | 7.5.19.0. makeHeisenberg |
| makeIdeal | D.15.23.5 makeIdeal |
| makeLetterplaceRing | 7.10.4.8 makeLetterplaceRing |
| makeMalgrange | 7.5.7.0. makeMalgrange |
| makeMatrix | D.15.23.4 makeMatrix |
| makeModElimRing | 7.5.19.0. makeModElimRing |
| makePDivisor | D.15.13.17 makePDivisor |
| makeQsl2 | 7.5.10.0. makeQsl2 |
| makeQsl3 | 7.5.10.0. makeQsl3 |
| makeQso3 | 7.5.10.0. makeQso3 |
| makeSheaf | D.15.33.9 makeSheaf |
| makeUe6 | 7.5.10.0. makeUe6 |
| makeUe7 | 7.5.10.0. makeUe7 |
| makeUe8 | 7.5.10.0. makeUe8 |
| makeUf4 | 7.5.10.0. makeUf4 |
| makeUg2 | 7.5.10.0. makeUg2 |
| makeUgl | 7.5.10.0. makeUgl |
| makeUsl | 7.5.10.0. makeUsl |
| makeUsl2 | 7.5.10.0. makeUsl2 |
| makeUso10 | 7.5.10.0. makeUso10 |
| makeUso11 | 7.5.10.0. makeUso11 |
| makeUso12 | 7.5.10.0. makeUso12 |
| makeUso5 | 7.5.10.0. makeUso5 |
| makeUso6 | 7.5.10.0. makeUso6 |
| makeUso7 | 7.5.10.0. makeUso7 |
| makeUso8 | 7.5.10.0. makeUso8 |
| makeUso9 | 7.5.10.0. makeUso9 |
| makeUsp1 | 7.5.10.0. makeUsp1 |
| makeUsp2 | 7.5.10.0. makeUsp2 |
| makeUsp3 | 7.5.10.0. makeUsp3 |
| makeUsp4 | 7.5.10.0. makeUsp4 |
| makeUsp5 | 7.5.10.0. makeUsp5 |
| makeVariety | D.15.33.1 makeVariety |
| makeVector | D.15.23.33 makeVector |
| makeWeyl | 7.5.19.0. makeWeyl |
| map | 4.11 map |
| map (plural) | 7.2.2 map (plural) |
| map declarations | 4.11.1 map declarations |
| map declarations (plural) | 7.2.2.1 map declarations (plural) |
| map expressions | 4.11.2 map expressions |
| map expressions (plural) | 7.2.2.2 map expressions (plural) |
| map operations | 4.11.3 map operations |
| map operations (plural) | 7.2.2.3 map (plural) operations |
| map related functions | 4.11.4 map related functions |
| map related functions (plural) | 7.2.2.4 map related functions (plural) |
| mapall | D.2.11.10 mapall |
| mapIsFinite | D.4.2.10 mapIsFinite |
| mappingcone | D.15.20.29 mappingcone |
| mappingcone3 | D.15.20.31 mappingcone3 |
| mapToRatNormCurve | D.5.4.6 mapToRatNormCurve |
| markov4ti2 | D.4.28.1 markov4ti2 |
| mat2arr | D.14.1.3 mat2arr |
| mat2carr | D.14.1.4 mat2carr |
| mat_rk | D.3.2.14 mat_rk |
| matbil | D.12.7.5 matbil |
| Mathematical background | C. Mathematical background |
| Mathematical background (letterplace) | 7.9 Mathematical background (letterplace) |
| Mathematical background (plural) | 7.4 Mathematical background (plural) |
| mathematical objects | B.1 Representation of mathematical objects |
| mathinit | D.9.1.2 mathinit |
| matmult | D.12.7.6 matmult |
| matrix | 4.12 matrix |
| matrix | D.14.1.3 mat2arr |
| matrix | D.14.1.4 mat2carr |
| matrix | D.14.1.5 arrPrintMatrix |
| matrix declarations | 4.12.1 matrix declarations |
| matrix diagonalization | D.11.3 jacobson_lib |
| matrix expressions | 4.12.2 matrix expressions |
| matrix operations | 4.12.4 matrix operations |
| Matrix orderings | B.2.6 Matrix orderings |
| matrix related functions | 4.12.5 matrix related functions |
| matrix type cast | 4.12.3 matrix type cast |
| matrix.lib | D.3.1 matrix_lib |
| matrix_lib | D.3.1 matrix_lib |
| matrixExp | D.5.3.2 matrixExp |
| matrixLog | D.5.3.3 matrixLog |
| matrixpres | D.15.20.34 matrixpres |
| matrixsystem | D.15.15.15 matrixsystem |
| matrixT1 | D.6.16.3 matrixT1 |
| max | 5.1.87 max |
| Max | D.6.14.8 Max |
| maxabs | D.12.8.8 maxabs |
| maxcoef | D.2.8.7 maxcoef |
| maxdeg | D.2.8.8 maxdeg |
| maxdeg1 | D.2.8.9 maxdeg1 |
| maxEord | D.5.5.9 maxEord |
| maxExp | 5.1.2 attrib |
| maxideal | 5.1.88 maxideal |
| maximalFace | D.13.2.41 maximalFace |
| maximalGroebnerCone | D.13.4.37 maximalGroebnerCone |
| maximalValue | D.13.2.42 maximalValue |
| maximum | D.12.2.6 maximum |
| maximum number of zeroes | D.5.3.5 maxZeros |
| Maximus | D.5.11.2 Maximus |
| maxIntRoot | 7.5.13.0. maxIntRoot |
| Maxord | D.5.5.16 Maxord |
| maxZeros | D.5.3.5 maxZeros |
| mdouble | 3.8.7.1 mdouble |
| mem, option | 5.1.110 option |
| member | D.15.9.3 member |
| membershipMon | D.4.15.5 membershipMon |
| memory | 5.1.89 memory |
| memory management | 5.1.89 memory |
| merkle_hellman_decryption | D.12.3.52 merkle_hellman_decryption |
| merkle_hellman_encryption | D.12.3.51 merkle_hellman_encryption |
| methods, hashtables | D.15.22 methods_lib |
| methods.lib | D.15.22 methods_lib |
| methods_lib | D.15.22 methods_lib |
| midpoint | D.15.15.11 midpoint |
| MillerRabin | D.12.3.16 MillerRabin |
| milnor | D.6.15.10 milnor |
| Milnor code | D.15.1 arnoldclassify_lib |
| Milnor number | A.4.1 Milnor and Tjurina number |
| Milnor number | D.15.29.3 milnornumber |
| milnorcode | D.6.3.7 milnorcode |
| milnornumber | D.15.29.3 milnornumber |
| Min | D.6.14.9 Min |
| min | 5.1.90 min |
| minAssChar | D.4.22.8 minAssChar |
| minAssCharE | D.4.22.9 minAssCharE |
| minAssGTZ | D.4.22.6 minAssGTZ |
| minAssGTZE | D.4.22.7 minAssGTZE |
| minAssZ | D.4.23.3 minAssZ |
| minbase | 5.1.91 minbase |
| minbaseMon | D.4.15.2 minbaseMon |
| mindeg | D.2.8.10 mindeg |
| mindeg1 | D.2.8.11 mindeg1 |
| mindist | D.10.2.12 mindist |
| minEcart | D.12.5.7 minEcart |
| minimal display time, setting the | 5.1.153 system |
| minimal representations | 7.10.6 ncrat_lib |
| minimalAfaceOrbits | D.15.18.13 minimalAfaceOrbits |
| minimalAfaces | D.15.18.4 minimalAfaces |
| MinimalDecomposition | D.7.3.10 MinimalDecomposition |
| minimalFace | D.13.2.43 minimalFace |
| minimalOrbitConeOrbits | D.15.18.15 minimalOrbitConeOrbits |
| minimalValue | D.13.2.44 minimalValue |
| Minimum distance | D.10.2 decodegb_lib |
| Minimus | D.5.11.1 Minimus |
| minIntRoot | 7.5.4.0. minIntRoot |
| minIntRoot2 | 7.5.13.0. minIntRoot2 |
| minipoly | D.3.2.19 minipoly |
| minkowskiSum | D.13.2.45 minkowskiSum |
| minMult | D.4.4.1 minMult |
| MinMult | D.15.5.2 MinMult |
| minor | 5.1.92 minor |
| minpoly | 5.3.3 minpoly |
| minres | 5.1.93 minres |
| minres (plural) | 7.3.13 minres (plural) |
| minus | D.15.12.15 difformSub |
| minus | D.15.12.16 difformNeg |
| minus | D.15.12.37 derivationSub |
| minus | D.15.12.38 derivationNeg |
| mirror symmetry | D.4.6 ellipticcovers_lib |
| Miscellaneous libraries | D.14 Miscellaneous libraries |
| mixed Hodge structure | D.6.9 gmssing_lib |
| mixed Hodge structure | D.6.9.6 spectrum |
| mixed Hodge structure | D.6.9.7 sppairs |
| mixed Hodge structure | D.6.9.8 vfilt |
| mixed Hodge structure | D.6.9.9 vwfilt |
| mixed Hodge structure | D.6.9.10 tmatrix |
| mixed Hodge structure | D.6.9.11 endvfilt |
| mixed Hodge structure | D.6.10 gmspoly_lib |
| mixed Hodge structure | D.6.10.2 goodBasis |
| mod | 4.2.3 bigint operations |
| mod | 4.6.3 int operations |
| mod | 4.14.3 number operations |
| mod | 4.16.3 poly operations |
| mod2id | D.2.8.15 mod2id |
| mod_versal | D.6.7.2 mod_versal |
| modality | D.6.3.15 modality |
| modberlekampMassey | D.15.14.5 modberlekampMassey |
| modBorder | D.15.31.2 modBorder |
| modDec | D.4.16.4 modDec |
| moddiq.lib | D.4.12 moddiq_lib |
| moddiq_lib | D.4.12 moddiq_lib |
| ModEqn | D.6.14.2 ModEqn |
| modfrWalk | D.15.24.4 modfrWalk |
| modfWalk | D.15.24.3 modfWalk |
| modIntersect | D.4.14.3 modIntersect |
| modJanet | D.15.31.4 modJanet |
| modNormal | D.4.13.1 modNormal |
| modnormal.lib | D.4.13 modnormal_lib |
| modnormal_lib | D.4.13 modnormal_lib |
| modNPos | D.4.18.4 modNPos |
| modNpos_test | D.4.18.2 modNpos_test |
| modQuotient | D.4.12.1 modQuotient |
| modrationalInterpolation | D.15.14.3 modrationalInterpolation |
| modregCM | D.4.18.8 modregCM |
| modrWalk | D.15.24.2 modrWalk |
| modSagbiAlg | D.15.7.8 modSagbiAlg |
| modSat | D.4.12.2 modSat |
| modsatiety | D.4.18.6 modsatiety |
| modStd | D.4.14.1 modStd |
| modstd.lib | D.4.14 modstd_lib |
| modstd_lib | D.4.14 modstd_lib |
| modSyz | D.4.14.2 modSyz |
| modular | D.2.6.1 modular |
| modular methods | D.4.11 locnormal_lib |
| modular methods | D.4.13 modnormal_lib |
| modular methods. | D.4.11.1 locNormal |
| Modular techniques | D.2.6 modular_lib |
| modular techniques. | D.4.13.1 modNormal |
| modular.lib | D.2.6 modular_lib |
| modular_lib | D.2.6 modular_lib |
| modular_lib | D.2.6 modular_lib |
| module | 4.13 module |
| module (plural) | 7.2.3 module (plural) |
| module declarations | 4.13.1 module declarations |
| module declarations (plural) | 7.2.3.1 module declarations (plural) |
| module expressions | 4.13.2 module expressions |
| module expressions (plural) | 7.2.3.2 module expressions (plural) |
| module operations | 4.13.3 module operations |
| module operations (plural) | 7.2.3.3 module operations (plural) |
| module ordering C | B.2.5 Module orderings |
| module ordering c | B.2.5 Module orderings |
| Module orderings | B.2.5 Module orderings |
| module related functions | 4.13.4 module related functions |
| module related functions (plural) | 7.2.3.4 module related functions (plural) |
| module_containment | D.4.2.2 module_containment |
| Modules and and their annihilator | 2.3.5 Modules and their annihilator |
| modules.lib | D.15.23 modules_lib |
| modules_lib | D.15.23 modules_lib |
| moduliSpace | D.15.33.23 moduliSpace |
| modulo | 5.1.94 modulo |
| modulo (plural) | 7.3.14 modulo (plural) |
| moduloSlim | 7.5.19.0. moduloSlim |
| modVStd | D.15.8.4 modVStd |
| modVStd0 | D.15.8.5 modVStd0 |
| modWalk | D.15.24.1 modWalk |
| modwalk.lib | D.15.24 modwalk_lib |
| modwalk_lib | D.15.24 modwalk_lib |
| moebius | D.14.1.39 moebius |
| moebius function | D.14.1.39 moebius |
| molien | D.7.1.9 molien |
| mondromy.lib | D.6.13 mondromy_lib |
| mondromy_lib | D.6.13 mondromy_lib |
| monitor | 5.1.95 monitor |
| Monodromy | D.6.13 mondromy_lib |
| monodromy | D.6.9 gmssing_lib |
| monodromy | D.6.9.5 monodromy |
| monodromy | D.6.9.5 monodromy |
| monodromy | D.6.9.10 tmatrix |
| monodromy | D.6.10 gmspoly_lib |
| monodromy | D.6.10.2 goodBasis |
| monodromyB | D.6.13.4 monodromyB |
| monomial | 5.1.96 monomial |
| monomial ordering | D.2.11.19 hasGlobalOrdering |
| Monomial orderings | B.2 Monomial orderings |
| monomial orderings | A.1.3 Rings associated to monomial orderings |
| monomial orderings | B.2.2 General definitions for orderings |
| monomial orderings introduction | B.2.1 Introduction to orderings |
| Monomial orderings on free algebras | 7.9.2 Monomial orderings on free algebras |
| Monomial orderings, Term orderings | 3.3.3 Term orderings |
| monomial output | 5.3.7 short |
| monomial, write | 5.3.7 short |
| monomialabortstd | D.14.2.1 monomialabortstd |
| monomialideal.lib | D.4.15 monomialideal_lib |
| monomialideal_lib | D.4.15 monomialideal_lib |
| monomialInIdeal | 7.5.13.0. monomialInIdeal |
| monomialLcm | D.12.5.5 monomialLcm |
| monomials and precedence | 6.4 Miscellaneous oddities |
| mons2intmat | D.4.20.24 mons2intmat |
| Mori dream spaces | D.15.2 autgradalg_lib |
| Morse lemma | D.15.29.2 realmorsesplit |
| Morse lemma | D.15.29.5 addnondegeneratevariables |
| morsesplit | D.6.3.8 morsesplit |
| movingCone | D.15.18.11 movingCone |
| mp_res_mat | D.8.3.4 mp_res_mat |
| mplot | D.9.1.3 mplot |
| mpresmat | 5.1.97 mpresmat |
| mprimdec.lib | D.4.16 mprimdec_lib |
| mprimdec_lib | D.4.16 mprimdec_lib |
| mregular.lib | D.4.17 mregular_lib |
| mregular_lib | D.4.17 mregular_lib |
| mRes | D.15.23.13 mRes |
| mres | 5.1.98 mres |
| mres (plural) | 7.3.15 mres (plural) |
| mstd | 5.1.99 mstd |
| msum | 3.8.7.3 msum |
| mtriple | 3.8.7.2 mtriple |
| mult | 5.1.100 mult |
| mult | 6.4 Miscellaneous oddities |
| multarr2arr | D.14.1.34 multarr2arr |
| multarrMultRestrict | D.14.1.36 multarrMultRestrict |
| multarrRestrict | D.14.1.35 multarrRestrict |
| multBound | 5.3.4 multBound |
| multcol | D.3.1.18 multcol |
| multdivisor | D.15.13.3 multdivisor |
| multformaldivisor | D.15.13.15 multformaldivisor |
| multi | D.12.4.5 multi |
| multi indices | 3.5.3 Names |
| multi-graded Hilbert series | 7.10.5 ncHilb_lib |
| multiarrangement | D.14.1.30 arrDer |
| multiarrangement | D.14.1.31 arrIsFree |
| multiarrangement | D.14.1.32 arrExponents |
| multiarrangement | D.14.1.33 arr2multarr |
| multiarrangement | D.14.1.34 multarr2arr |
| multiarrangement | D.14.1.35 multarrRestrict |
| multiarrangement | D.14.1.36 multarrMultRestrict |
| multiDeg | D.15.25.30 multiDeg |
| multiDegBasis | D.15.25.31 multiDegBasis |
| multiDegGroebner | D.15.25.39 multiDegGroebner |
| multiDegModulo | D.15.25.41 multiDegModulo |
| multiDegPartition | D.15.25.32 multiDegPartition |
| multiDegResolution | D.15.25.42 multiDegResolution |
| multiDegSyzygy | D.15.25.40 multiDegSyzygy |
| multiDegTensor | D.15.25.43 multiDegTensor |
| multiDegTor | D.15.25.44 multiDegTor |
| multidimensional_knapsack | D.12.3.44 multidimensional_knapsack |
| multigrading, multidegree, multiweights, multigraded-homogeneous, integral linear algebra | D.15.25 multigrading_lib |
| multigrading.lib | D.15.25 multigrading_lib |
| multigrading_lib | D.15.25 multigrading_lib |
| multipleCover | D.15.33.29 multipleCover |
| multiplication | D.15.12.17 difformMul |
| multiplication | D.15.12.39 derivationMul |
| multiplicities, sequence of | D.6.11.6 invariants |
| multiplicity | D.15.10.2 curveConductorMult |
| multiplicity sequence | D.6.1.7 charexp2multseq |
| multiplicity sequence | D.6.1.10 charexp2conductor |
| multiplicity sequence | D.6.11.8 multsequence |
| MultiplicitySequence | D.6.6.6 MultiplicitySequence |
| multiplyLeftFractions | 7.5.20.0. multiplyLeftFractions |
| multiplylist | D.5.5.29 multiplylist |
| multivariate equations | D.8.1 ffsolve_lib |
| multRat | 7.5.13.0. multRat |
| multrow | D.3.1.19 multrow |
| multseq2charexp | D.6.1.6 multseq2charexp |
| multsequence | D.6.11.8 multsequence |
| MVComplex | D.15.11.2 MVComplex |
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