|  | Index Entry | Section | 
|---|
| 
 | 
| N |  |  | 
|---|
|  | naccache_stern_decryption | D.12.3.47 naccache_stern_decryption | 
|  | naccache_stern_encryption | D.12.3.46 naccache_stern_encryption | 
|  | naccache_stern_generation | D.12.3.45 naccache_stern_generation | 
|  | NakYoshF | D.15.16.4 NakYoshF | 
|  | nameof | 5.1.101 nameof | 
|  | names | 5.1.102 names | 
|  | Names | 3.5.3 Names | 
|  | Names in procedures | 3.7.4 Names in procedures | 
|  | Names, indexed | 3.5.3 Names | 
|  | nashmult | D.6.2.1 nashmult | 
|  | nblocks | 5.1.153 system | 
|  | nBoundaryLatticePoints | D.13.2.46 nBoundaryLatticePoints | 
|  | nc_algebra | 7.3.16 nc_algebra | 
|  | nc_hilb | 5.1.153 system | 
|  | ncalg.lib | 7.5.10 ncalg_lib | 
|  | ncalg_lib | 7.5.10 ncalg_lib | 
|  | ncalgebra | 7.3.17 ncalgebra | 
|  | ncdecomp.lib | 7.5.11 ncdecomp_lib | 
|  | ncdecomp_lib | 7.5.11 ncdecomp_lib | 
|  | ncdetection | 7.5.8.0. ncdetection | 
|  | ncExt_R | 7.5.15.0. ncExt_R | 
|  | ncfactor | 7.5.12.0. ncfactor | 
|  | ncfactor.lib | 7.5.12 ncfactor_lib | 
|  | ncfactor_lib | 7.5.12 ncfactor_lib | 
|  | ncfrac.lib | 7.5.14 ncfrac_lib | 
|  | ncfrac_lib | 7.5.14 ncfrac_lib | 
|  | ncgen | 7.8.4 ncgen | 
|  | nchilb | 7.10.5.1 nchilb | 
|  | ncHilb.lib | 7.10.5 ncHilb_lib | 
|  | ncHilb_lib | 7.10.5 ncHilb_lib | 
|  | ncHom | 7.5.15.0. ncHom | 
|  | nchomolog.lib | 7.5.15 nchomolog_lib | 
|  | nchomolog_lib | 7.5.15 nchomolog_lib | 
|  | ncInit | 7.10.6.1 ncInit | 
|  | ncloc.lib | 7.5.16 ncloc_lib | 
|  | ncloc_lib | 7.5.16 ncloc_lib | 
|  | ncmodslimgb | 7.5.17.0. ncmodslimgb | 
|  | ncModslimgb.lib | 7.5.17 ncModslimgb_lib | 
|  | ncModslimgb_lib | 7.5.17 ncModslimgb_lib | 
|  | ncols | 5.1.103 ncols | 
|  | ncones | D.13.1.53 ncones | 
|  | ncpreim.lib | 7.5.18 ncpreim_lib | 
|  | ncpreim_lib | 7.5.18 ncpreim_lib | 
|  | ncrat.lib | 7.10.6 ncrat_lib | 
|  | ncrat_lib | 7.10.6 ncrat_lib | 
|  | ncratAdd | 7.10.6.5 ncratAdd | 
|  | ncratDefine | 7.10.6.4 ncratDefine | 
|  | ncratEvaluateAt | 7.10.6.14 ncratEvaluateAt | 
|  | ncratFromPoly | 7.10.6.12 ncratFromPoly | 
|  | ncratFromString | 7.10.6.11 ncratFromString | 
|  | ncratInvert | 7.10.6.8 ncratInvert | 
|  | ncratMultiply | 7.10.6.7 ncratMultiply | 
|  | ncratPower | 7.10.6.13 ncratPower | 
|  | ncratPrint | 7.10.6.10 ncratPrint | 
|  | ncratSPrint | 7.10.6.9 ncratSPrint | 
|  | ncratSubstract | 7.10.6.6 ncratSubstract | 
|  | ncRelations | 7.5.19.0. ncRelations | 
|  | ncrepAdd | 7.10.6.16 ncrepAdd | 
|  | ncrepDim | 7.10.6.21 ncrepDim | 
|  | ncrepEvaluate | 7.10.6.23 ncrepEvaluate | 
|  | ncrepEvaluateAt | 7.10.6.24 ncrepEvaluateAt | 
|  | ncrepGet | 7.10.6.15 ncrepGet | 
|  | ncrepGetRegularMinimal | 7.10.6.31 ncrepGetRegularMinimal | 
|  | ncrepGetRegularZeroMinimal | 7.10.6.30 ncrepGetRegularZeroMinimal | 
|  | ncrepInvert | 7.10.6.19 ncrepInvert | 
|  | ncrepIsDefined | 7.10.6.26 ncrepIsDefined | 
|  | ncrepIsDefinedDim | 7.10.6.25 ncrepIsDefinedDim | 
|  | ncrepIsRegular | 7.10.6.27 ncrepIsRegular | 
|  | ncrepMultiply | 7.10.6.18 ncrepMultiply | 
|  | ncrepPencilCombine | 7.10.6.33 ncrepPencilCombine | 
|  | ncrepPencilGet | 7.10.6.32 ncrepPencilGet | 
|  | ncrepPrint | 7.10.6.20 ncrepPrint | 
|  | ncrepRegularMinimize | 7.10.6.29 ncrepRegularMinimize | 
|  | ncrepRegularZeroMinimize | 7.10.6.28 ncrepRegularZeroMinimize | 
|  | ncrepSubstitute | 7.10.6.22 ncrepSubstitute | 
|  | ncrepSubstract | 7.10.6.17 ncrepSubstract | 
|  | nctools.lib | 7.5.19 nctools_lib | 
|  | nctools_lib | 7.5.19 nctools_lib | 
|  | ncVarsAdd | 7.10.6.3 ncVarsAdd | 
|  | ncVarsGet | 7.10.6.2 ncVarsGet | 
|  | ndcond | 7.5.19.0. ndcond | 
|  | negatedCone | D.13.1.31 negatedCone | 
|  | negateNcfrac | 7.5.14.0. negateNcfrac | 
|  | negation | D.15.12.16 difformNeg | 
|  | negative degree lexicographical ordering | B.2.4 Local orderings | 
|  | negative degree reverse lexicographical ordering | B.2.4 Local orderings | 
|  | negative lexicographical ordering | B.2.4 Local orderings | 
|  | negativedivisor | D.15.13.4 negativedivisor | 
|  | negativeformaldivisor | D.15.13.14 negativeformaldivisor | 
|  | net | D.15.26 nets_lib | 
|  | net | D.15.26.2 net | 
|  | net access | 3.1.6 Command line options | 
|  | netBigInt | D.15.26.8 netBigInt | 
|  | netBigIntMat | D.15.26.3 netBigIntMat | 
|  | netBigIntMatShort | D.15.26.4 netBigIntMatShort | 
|  | netCoefficientRing | D.15.26.5 netCoefficientRing | 
|  | netIdeal | D.15.26.6 netIdeal | 
|  | netInt | D.15.26.7 netInt | 
|  | netIntMat | D.15.26.9 netIntMat | 
|  | netIntMatShort | D.15.26.10 netIntMatShort | 
|  | netIntVector | D.15.26.11 netIntVector | 
|  | netIntVectorShort | D.15.26.12 netIntVectorShort | 
|  | netList | D.15.26.14 netList | 
|  | netMap | D.15.26.15 netMap | 
|  | netMap2 | D.15.26.16 netMap2 | 
|  | netMatrix | D.15.23.35 netMatrix | 
|  | netmatrix | D.15.26.17 netmatrix | 
|  | netmatrixShort | D.15.26.18 netmatrixShort | 
|  | netNumber | D.15.26.13 netNumber | 
|  | netPoly | D.15.26.19 netPoly | 
|  | netPrimePower | D.15.26.20 netPrimePower | 
|  | netRing | D.15.26.21 netRing | 
|  | nets.lib | D.15.26 nets_lib | 
|  | nets_lib | D.15.26 nets_lib | 
|  | netString | D.15.26.22 netString | 
|  | netvector | D.15.26.23 netvector | 
|  | netVector | D.15.23.34 netVector | 
|  | netvectorShort | D.15.26.24 netvectorShort | 
|  | New orderings for modules | New orderings for modules | 
|  | newline | 4.21 string | 
|  | news | E.1 News and changes | 
|  | newstruct | 4.23 User defined types | 
|  | newstruct | D.14.4 polybori_lib | 
|  | newTest | D.12.2.1 newTest | 
|  | Newton non-degenerate | D.6.11.14 is_NND | 
|  | Newton polygon | D.6.11.13 newtonpoly | 
|  | Newton polygon | D.6.11.14 is_NND | 
|  | Newton polygons | D.15.35 tropicalNewton_lib | 
|  | Newton polytope | D.13.2 polymake_lib | 
|  | Newton step | D.15.30 rootisolation_lib | 
|  | newtonDiag | D.2.8.19 newtonDiag | 
|  | newtonpoly | D.6.11.13 newtonpoly | 
|  | newtonPolygonNegSlopes | D.15.35.3 newtonPolygonNegSlopes | 
|  | newtonPolytope | D.13.1.57 newtonPolytope | 
|  | newtonPolytopeLP | D.13.2.3 newtonPolytopeLP | 
|  | newtonPolytopeP | D.13.2.2 newtonPolytopeP | 
|  | NF | 5.1.129 reduce | 
|  | NF (letterplace) | 7.8.5 reduce (letterplace) | 
|  | NF (plural) | 7.3.23 reduce (plural) | 
|  | nf_icis | D.6.15.11 nf_icis | 
|  | nfmodStd | D.15.27.2 nfmodStd | 
|  | nfmodstd.lib | D.15.27 nfmodstd_lib | 
|  | nfmodstd_lib | D.15.27 nfmodstd_lib | 
|  | nfmodSyz | D.15.28.1 nfmodSyz | 
|  | nfmodsyz.lib | D.15.28 nfmodsyz_lib | 
|  | nfmodsyz_lib | D.15.28 nfmodsyz_lib | 
|  | NFMora | D.12.5.8 NFMora | 
|  | nHilbertBasis | D.13.2.47 nHilbertBasis | 
|  | nilpotent Lie algebras | D.5.3 orbitparam_lib | 
|  | nInteriorLatticePoints | D.13.2.48 nInteriorLatticePoints | 
|  | nLatticePoints | D.13.2.49 nLatticePoints | 
|  | nmaxcones | D.13.1.52 nmaxcones | 
|  | noether | 5.3.5 noether | 
|  | Noether position | D.4.18.3 NPos | 
|  | noether.lib | D.4.18 noether_lib | 
|  | noether_lib | D.4.18 noether_lib | 
|  | noetherNormal | D.4.2.9 noetherNormal | 
|  | NoetherPosition | D.4.17.5 NoetherPosition | 
|  | Non-commutative algebra | A.7 Non-commutative Algebra | 
|  | Non-commutative algebra | C.7 Non-commutative algebra | 
|  | Non-commutative subsystem | 7. Non-commutative subsystem | 
|  | non-english special characters | 6.1 Limitations | 
|  | noncommutative, rational expressions | 7.10.6 ncrat_lib | 
|  | none, option | 5.1.110 option | 
|  | Nonhyp | D.5.5.5 Nonhyp | 
|  | nonMonomials | D.4.21.1 nonMonomials | 
|  | nonZeroEntry | D.4.2.12 nonZeroEntry | 
|  | norm | D.12.4.4 norm | 
|  | normaform (up to a bound) | 5.1.153 system | 
|  | normal | D.4.19.1 normal | 
|  | normal bundle, graph, rational curves, multiple covers, lines on | D.15.33.28 normalBundle | 
|  | normal form | Properties | 
|  | normal.lib | D.4.19 normal_lib | 
|  | normal_lib | D.4.19 normal_lib | 
|  | normalBundle | D.15.33.28 normalBundle | 
|  | normalC | D.4.19.3 normalC | 
|  | normalConductor | D.4.19.15 normalConductor | 
|  | normalFan | D.13.2.50 normalFan | 
|  | normalForm | D.15.13.5 normalForm | 
|  | normalform | D.6.3.12 normalform | 
|  | normalform | D.15.7.7 HHnormalForm | 
|  | normalI | D.4.26.2 normalI | 
|  | normaliz | 1. Preface | 
|  | normaliz | D.4.20.15 normaliz | 
|  | normaliz.lib | D.4.20 normaliz_lib | 
|  | normaliz_lib | D.4.20 normaliz_lib | 
|  | Normalization | A.3.10 Normalization | 
|  | normalization | D.4.11 locnormal_lib | 
|  | normalization | D.4.11.1 locNormal | 
|  | normalization | D.4.13 modnormal_lib | 
|  | normalization | D.4.13.1 modNormal | 
|  | normalization | D.4.19.1 normal | 
|  | normalization | D.4.19.2 normalP | 
|  | normalization | D.4.19.3 normalC | 
|  | normalization | D.4.19.15 normalConductor | 
|  | normalization | D.4.20 normaliz_lib | 
|  | normalization | D.15.10.1 curveDeltaInv | 
|  | normalization. | D.4.9.1 integralBasis | 
|  | normalization. | D.5.4.1 adjointIdeal | 
|  | normalize | D.2.8.12 normalize | 
|  | normalizeMonoidal | 7.5.20.0. normalizeMonoidal | 
|  | normalizeRational | 7.5.20.0. normalizeRational | 
|  | normalP | D.4.19.2 normalP | 
|  | normalToricRing | D.4.20.2 normalToricRing | 
|  | normalToricRingFromBinomials | D.4.20.3 normalToricRingFromBinomials | 
|  | norTest | D.4.19.11 norTest | 
|  | not | 4.6.6 boolean operations | 
|  | not equal | D.15.12.20 difformNeq | 
|  | not equal | D.15.12.41 derivationNeq | 
|  | notBuckets, option | 5.1.110 option | 
|  | Notes for developers | E.2.3 Notes for developers | 
|  | Notes for Singular users | E.2.2 Notes for Singular users | 
|  | notRegularity, option | 5.1.110 option | 
|  | notSugar, option | 5.1.110 option | 
|  | notWarnSB, option | 5.1.110 option | 
|  | npar | D.11.4.6 npar | 
|  | npars | 5.1.104 npars | 
|  | NPos | D.4.18.3 NPos | 
|  | NPos_test | D.4.18.1 NPos_test | 
|  | nres | 5.1.105 nres | 
|  | nres (plural) | 7.3.18 nres (plural) | 
|  | nrows | 5.1.106 nrows | 
|  | nrroots | D.12.8.15 nrroots | 
|  | nrRootsDeterm | D.12.7.2 nrRootsDeterm | 
|  | nrRootsProbab | D.12.7.1 nrRootsProbab | 
|  | nsatiety | D.4.18.5 nsatiety | 
|  | nselect | D.4.5.6 nselect | 
|  | NSplaces | D.10.1.2 NSplaces | 
|  | nt_solve | D.8.5.1 nt_solve | 
|  | NTL | 1. Preface | 
|  | ntsolve.lib | D.8.5 ntsolve_lib | 
|  | ntsolve_lib | D.8.5 ntsolve_lib | 
|  | NullCone | D.7.3.11 NullCone | 
|  | number | 4.14 number | 
|  | number | D.14.1.7 varNum | 
|  | number declarations | 4.14.1 number declarations | 
|  | number expressions | 4.14.2 number expressions | 
|  | number operations | 4.14.3 number operations | 
|  | number related functions | 4.14.4 number related functions | 
|  | number_e | D.2.3.11 number_e | 
|  | number_pi | D.2.3.12 number_pi | 
|  | numberOfConesOfDimension | D.13.1.54 numberOfConesOfDimension | 
|  | numerAlg.lib | D.5.1 numerAlg_lib | 
|  | numerAlg_lib | D.5.1 numerAlg_lib | 
|  | numerAlg_lib | D.5.2 numerDecom_lib | 
|  | numerator | 5.1.107 numerator | 
|  | numerDecom.lib | D.5.2 numerDecom_lib | 
|  | numerDecom_lib | D.5.1 numerAlg_lib | 
|  | numerDecom_lib | D.5.2 numerDecom_lib | 
|  | numerical irreducible decomposition | D.5.2 numerDecom_lib | 
|  | NumIrrDecom | D.5.2.10 NumIrrDecom | 
|  | NumLocalDim | D.5.1.4 NumLocalDim | 
|  | NumPrimDecom | D.5.2.12 NumPrimDecom | 
|  | nvars | 5.1.108 nvars | 
| 
 |