|  | Index Entry | Section | 
|---|
| 
 | 
| : |  |  | 
|---|
|  | : | 3.5.2 Special characters | 
|  | : | 4.8.2 intvec expressions | 
|  | :: | 3.5.2 Special characters | 
|  | :: | 4.15 package | 
| 
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| ; |  |  | 
|---|
|  | ; | 3.5.2 Special characters | 
| 
 | 
| < |  |  | 
|---|
|  | < | 3.5.2 Special characters | 
|  | < | 4.16.3 poly operations | 
|  | < | 4.22.3 vector operations | 
|  | < | 5.1.41 files, input from | 
|  | <= | 3.5.2 Special characters | 
|  | <= | 4.6.5 boolean expressions | 
|  | <= | 4.14.3 number operations | 
|  | <= | 4.16.3 poly operations | 
|  | <= | 4.21.4 string operations | 
|  | <= | 4.22.3 vector operations | 
|  | <> | 3.5.2 Special characters | 
|  | <> | 4.6.5 boolean expressions | 
|  | <> | 4.12.4 matrix operations | 
|  | <> | 4.14.3 number operations | 
|  | <> | 4.16.3 poly operations | 
|  | <> | 4.19.4 ring operations | 
|  | <> | 4.21.4 string operations | 
|  | <> | 4.22.3 vector operations | 
| 
 | 
| = |  |  | 
|---|
|  | = | 3.5.2 Special characters | 
|  | == | 3.5.2 Special characters | 
|  | == | 4.6.5 boolean expressions | 
|  | == | 4.12.4 matrix operations | 
|  | == | 4.14.3 number operations | 
|  | == | 4.16.3 poly operations | 
|  | == | 4.19.4 ring operations | 
|  | == | 4.21.4 string operations | 
|  | == | 4.22.3 vector operations | 
| 
 | 
| > |  |  | 
|---|
|  | > | 3.5.2 Special characters | 
|  | > | 4.16.3 poly operations | 
|  | > | 4.22.3 vector operations | 
|  | >= | 3.5.2 Special characters | 
|  | >= | 4.6.5 boolean expressions | 
|  | >= | 4.14.3 number operations | 
|  | >= | 4.16.3 poly operations | 
|  | >= | 4.21.4 string operations | 
|  | >= | 4.22.3 vector operations | 
| 
 | 
| ? |  |  | 
|---|
|  | ? | 3.5.2 Special characters | 
|  | ? | 5.1.54 help | 
| 
 | 
| [ |  |  | 
|---|
|  | [ | 3.5.2 Special characters | 
|  | [] | 4.13.3 module operations | 
|  | [] | 4.16.3 poly operations | 
|  | [] | 4.21.4 string operations | 
|  | [] | 4.22.3 vector operations | 
| 
 | 
| \ |  |  | 
|---|
|  | \ | 3.5.2 Special characters | 
| 
 | 
| ] |  |  | 
|---|
|  | ] | 3.5.2 Special characters | 
| 
 | 
| ^ |  |  | 
|---|
|  | ^ | 3.5.2 Special characters | 
|  | ^ | 4.2.3 bigint operations | 
|  | ^ | 4.5.3 ideal operations | 
|  | ^ | 4.14.3 number operations | 
|  | ^ | 4.16.3 poly operations | 
| 
 | 
| _ |  |  | 
|---|
|  | _ | 3.5.2 Special characters | 
| 
 | 
| ` |  |  | 
|---|
|  | ` | 3.5.2 Special characters | 
| 
 | 
| { |  |  | 
|---|
|  | { | 3.5.2 Special characters | 
| 
 | 
| | |  |  | 
|---|
|  | || | 3.5.2 Special characters | 
|  | || | 4.6.6 boolean operations | 
| 
 | 
| } |  |  | 
|---|
|  | } | 3.5.2 Special characters | 
| 
 | 
| ~ |  |  | 
|---|
|  | ~ | 3.5.2 Special characters | 
|  | ~ | 5.2.16 ~ (break point) | 
| 
 | 
| A |  |  | 
|---|
|  | a, ordering | B.2.8 Extra weight vector | 
|  | A_L | D.6.3.11 A_L | 
|  | A_Z | D.2.3.1 A_Z | 
|  | A_Z_L | D.2.3.2 A_Z_L | 
|  | absfact.lib | D.4.1 absfact_lib | 
|  | absfact_lib | D.4.1 absfact_lib | 
|  | absFactorize | D.4.1.1 absFactorize | 
|  | absFactorizeBCG | D.4.1.2 absFactorizeBCG | 
|  | absolute factorization. | D.4.1 absfact_lib | 
|  | absPrimdecGTZ | D.4.22.20 absPrimdecGTZ | 
|  | absPrimdecGTZE | D.4.22.21 absPrimdecGTZE | 
|  | abstract variety, projective space, Grassmannian | D.15.33.1 makeVariety | 
|  | abstract variety, projective space, Grassmannian | D.15.33.2 printVariety | 
|  | abstractR | D.5.9.7 abstractR | 
|  | absValue | D.2.3.4 absValue | 
|  | Access to elements of a user defined type | 4.23.3 Access to elements of a user defined type | 
|  | actionIsProper | D.7.2.3 actionIsProper | 
|  | add | D.15.12.14 difformAdd | 
|  | add | D.15.12.36 derivationAdd | 
|  | addcol | D.3.1.16 addcol | 
|  | addcores | D.2.10.1 addcores | 
|  | addLeftFractions | 7.5.20.0. addLeftFractions | 
|  | addModules | D.15.23.27 addModules | 
|  | addnondegeneratevariables | D.15.29.5 addnondegeneratevariables | 
|  | addNvarsTo | D.2.11.27 addNvarsTo | 
|  | addRat | 7.5.13.0. addRat | 
|  | addrow | D.3.1.17 addrow | 
|  | addSheaf | D.15.33.20 addSheaf | 
|  | addvarsTo | D.2.11.26 addvarsTo | 
|  | ademRelations | 7.10.2.4 ademRelations | 
|  | ADGT | D.2.4.21 ADGT | 
|  | Adj_div | D.10.1.1 Adj_div | 
|  | adjoint | D.3.2.9 adjoint | 
|  | Adjoint ideal | D.5.4 paraplanecurves_lib | 
|  | adjointIdeal | D.5.4.1 adjointIdeal | 
|  | adjunction divisor | D.10.1.1 Adj_div | 
|  | admissibleSub | 7.5.18.0. admissibleSub | 
|  | afaces | D.15.18.2 afaces | 
|  | affine code | Affine codes | 
|  | AG codes | A.8.2 AG codes | 
|  | AGcode_L | D.10.1.6 AGcode_L | 
|  | AGcode_Omega | D.10.1.7 AGcode_Omega | 
|  | ainvar.lib | D.7.2 ainvar_lib | 
|  | ainvar_lib | D.7.2 ainvar_lib | 
|  | aksaka.lib | D.12.1 aksaka_lib | 
|  | aksaka_lib | D.12.1 aksaka_lib | 
|  | Alexander polynomial | D.6.1 alexpoly_lib | 
|  | alexanderpolynomial | D.6.1.3 alexanderpolynomial | 
|  | alexpoly.lib | D.6.1 alexpoly_lib | 
|  | alexpoly_lib | D.6.1 alexpoly_lib | 
|  | alg_kernel | D.4.2.5 alg_kernel | 
|  | algDependent | D.4.2.4 algDependent | 
|  | algebra.lib | D.4.2 algebra_lib | 
|  | algebra_containment | D.4.2.1 algebra_containment | 
|  | algebra_lib | D.4.2 algebra_lib | 
|  | Algebraic dependence | A.3.12 Algebraic dependence | 
|  | algebraic dependence | 7.5.21 perron_lib | 
|  | algebraic field extension | D.4.24.3 splitring | 
|  | Algebraic geometry | D.5 Algebraic geometry | 
|  | Algebraic Geometry codes | D.10.1 brnoeth_lib | 
|  | algebraicDependence | D.4.27.5 algebraicDependence | 
|  | algorithm of Bigatti, La Scala and Robbiano | C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano | 
|  | algorithm of Conti and Traverso | C.6.2.1 The algorithm of Conti and Traverso | 
|  | algorithm of Di Biase and Urbanke | C.6.2.4 The algorithm of Di Biase and Urbanke | 
|  | algorithm of Hosten and Sturmfels | C.6.2.3 The algorithm of Hosten and Sturmfels | 
|  | algorithm of Pottier | C.6.2.2 The algorithm of Pottier | 
|  | alias | 3.5.1 General command syntax | 
|  | align | 5.1.1 align | 
|  | all.lib | D.2.1 all_lib | 
|  | all_lib | D.2.1 all_lib | 
|  | allDoubleExt | 7.5.22.0. allDoubleExt | 
|  | allExtOfLeft | 7.5.22.0. allExtOfLeft | 
|  | allExtOfRight | 7.5.22.0. allExtOfRight | 
|  | allowing net access | 3.1.6 Command line options | 
|  | allPositive | 7.5.2.0. allPositive | 
|  | allprint | D.2.5.1 allprint | 
|  | allreal | D.12.8.9 allreal | 
|  | allrealst | D.12.8.7 allrealst | 
|  | allsquarefree | D.6.11.19 allsquarefree | 
|  | AltVarEnd | 7.5.19.0. AltVarEnd | 
|  | AltVarStart | 7.5.19.0. AltVarStart | 
|  | ambientDimension | D.13.1.4 ambientDimension | 
|  | and | 4.6.6 boolean operations | 
|  | and | 6.3.2 Evaluation of logical expressions | 
|  | Ann | D.4.22.1 Ann | 
|  | annfalphaI | 7.5.6.0. annfalphaI | 
|  | annfs | 7.5.4.0. annfs | 
|  | annfs0 | 7.5.4.0. annfs0 | 
|  | annfs2 | 7.5.4.0. annfs2 | 
|  | annfsBMI | 7.5.4.0. annfsBMI | 
|  | annfsLogIdeal | 7.5.6.0. annfsLogIdeal | 
|  | annfsParamBM | 7.5.4.0. annfsParamBM | 
|  | annfspecial | 7.5.4.0. annfspecial | 
|  | annfsRB | 7.5.4.0. annfsRB | 
|  | annihilator of polynomial | 7.5.5 dmodapp_lib | 
|  | annihilator of rational function | 7.5.5 dmodapp_lib | 
|  | annihilator of rational function | 7.5.13 dmodloc_lib | 
|  | annihilatorMultiFs | 7.5.6.0. annihilatorMultiFs | 
|  | annil | D.4.16.8 annil | 
|  | annPoly | 7.5.5.0. annPoly | 
|  | annRat | 7.5.5.0. annRat | 
|  | annRatSyz | 7.5.13.0. annRatSyz | 
|  | Appel function | 7.5.5 dmodapp_lib | 
|  | Appel hypergeometric function | 7.5.5 dmodapp_lib | 
|  | appelF1 | 7.5.5.0. appelF1 | 
|  | appelF2 | 7.5.5.0. appelF2 | 
|  | appelF4 | 7.5.5.0. appelF4 | 
|  | appendWeight2Ord | 7.5.18.0. appendWeight2Ord | 
|  | application | D.15.12.42 derivationEval | 
|  | Applications | A.8 Applications | 
|  | apply | 5.2.1 apply | 
|  | applyAdF | 7.5.3.0. applyAdF | 
|  | applyPermutationToIntvec | D.15.18.27 applyPermutationToIntvec | 
|  | applyVecField | D.15.36.1 applyVecField | 
|  | arcpoint.lib | D.6.2 arcpoint_lib | 
|  | arcpoint_lib | D.6.2 arcpoint_lib | 
|  | areEqualLeftFractions | 7.5.20.0. areEqualLeftFractions | 
|  | areZeroElements | D.15.25.36 areZeroElements | 
|  | argument, default | 3.7.2 Parameter list | 
|  | argument, optional | 3.7.2 Parameter list | 
|  | Arnol'd | D.15.1 arnoldclassify_lib | 
|  | Arnold, classification. | D.15.6.1 complexClassify | 
|  | Arnold, classification. | D.15.6.2 complexType | 
|  | ArnoldAction | D.6.14.1 ArnoldAction | 
|  | arnoldClassify | D.15.1.4 arnoldClassify | 
|  | arnoldclassify.lib | D.15.1 arnoldclassify_lib | 
|  | arnoldclassify_lib | D.15.1 arnoldclassify_lib | 
|  | arnoldCorank | D.15.1.5 arnoldCorank | 
|  | arnoldDeterminacy | D.15.1.6 arnoldDeterminacy | 
|  | arnoldListAllSeries | D.15.1.1 arnoldListAllSeries | 
|  | arnoldMilnorCode | D.15.1.7 arnoldMilnorCode | 
|  | arnoldMorseSplit | D.15.1.8 arnoldMorseSplit | 
|  | arnoldNormalForm | D.15.1.3 arnoldNormalForm | 
|  | arnoldShowSeries | D.15.1.2 arnoldShowSeries | 
|  | arr.lib | D.14.1 arr_lib | 
|  | arr2multarr | D.14.1.33 arr2multarr | 
|  | arr_lib | D.14.1 arr_lib | 
|  | arrange | 7.5.4.0. arrange | 
|  | arrangement | D.14.1.1 arrSet | 
|  | arrangement | D.14.1.2 type2arr | 
|  | arrangement | D.14.1.33 arr2multarr | 
|  | arrangement | D.14.1.34 multarr2arr | 
|  | arrBoolean | D.14.1.22 arrBoolean | 
|  | arrBoundedChambers | D.14.1.43 arrBoundedChambers | 
|  | arrBraid | D.14.1.23 arrBraid | 
|  | arrCenter | D.14.1.10 arrCenter | 
|  | arrCentered | D.14.1.12 arrCentered | 
|  | arrCentral | D.14.1.11 arrCentral | 
|  | arrCentralize | D.14.1.13 arrCentralize | 
|  | arrChambers | D.14.1.42 arrChambers | 
|  | arrCharPoly | D.14.1.40 arrCharPoly | 
|  | arrCone | D.14.1.16 arrCone | 
|  | arrCoordChange | D.14.1.14 arrCoordChange | 
|  | arrCoordNormalize | D.14.1.15 arrCoordNormalize | 
|  | arrDecone | D.14.1.17 arrDecone | 
|  | arrDer | D.14.1.30 arrDer | 
|  | arrEdelmanReiner | D.14.1.28 arrEdelmanReiner | 
|  | arrEssentialize | D.14.1.21 arrEssentialize | 
|  | arrExponents | D.14.1.32 arrExponents | 
|  | arrFlats | D.14.1.37 arrFlats | 
|  | arrIsEssential | D.14.1.20 arrIsEssential | 
|  | arrIsFree | D.14.1.31 arrIsFree | 
|  | arrLastVar | D.14.1.9 arrLastVar | 
|  | arrLattice | D.14.1.38 arrLattice | 
|  | arrLocalize | D.14.1.18 arrLocalize | 
|  | arrOrlikSolomon | D.14.1.29 arrOrlikSolomon | 
|  | arrPoincare | D.14.1.41 arrPoincare | 
|  | arrPrintMatrix | D.14.1.5 arrPrintMatrix | 
|  | arrRandom | D.14.1.26 arrRandom | 
|  | arrRandomCentral | D.14.1.27 arrRandomCentral | 
|  | arrRestrict | D.14.1.19 arrRestrict | 
|  | arrSet | D.14.1.1 arrSet | 
|  | arrSwapVar | D.14.1.8 arrSwapVar | 
|  | arrTypeB | D.14.1.24 arrTypeB | 
|  | arrTypeD | D.14.1.25 arrTypeD | 
|  | ASCII | D.2.3.3 ASCII | 
|  | ASCII links | 4.9.4 ASCII links | 
|  | ask | D.12.1.8 ask | 
|  | assign | D.14.1.1 arrSet | 
|  | assignment,custom | 4.23.5 Assignments for user defined types | 
|  | Assignments for user defined types | 4.23.5 Assignments for user defined types | 
|  | associated tangent | D.2.4.15 AssocTanToEnv | 
|  | associated tangent | D.2.4.16 FamElemsAtEnvCompPoints | 
|  | AssocTanToEnv | D.2.4.15 AssocTanToEnv | 
|  | assPrimes | D.4.3.2 assPrimes | 
|  | assprimeszerodim.lib | D.4.3 assprimeszerodim_lib | 
|  | assprimeszerodim_lib | D.4.3 assprimeszerodim_lib | 
|  | ASSUME | 3.9.1 ASSUME | 
|  | Atkin | D.12.2.14 Atkin | 
|  | atkins.lib | D.12.2 atkins_lib | 
|  | atkins_lib | D.12.2 atkins_lib | 
|  | attrib | 5.1.2 attrib | 
|  | autGenWeights | D.15.2.3 autGenWeights | 
|  | autGradAlg | D.15.2.2 autGradAlg | 
|  | autgradalg.lib | D.15.2 autgradalg_lib | 
|  | autgradalg_lib | D.15.2 autgradalg_lib | 
|  | Authors | Acknowledgements | 
|  | autKS | D.15.2.1 autKS | 
|  | Automatic Deduction | D.2.4.21 ADGT | 
|  | Automatic Demonstration | D.2.4.21 ADGT | 
|  | automorphism group | D.15.2 autgradalg_lib | 
|  | automorphisms | D.15.2 autgradalg_lib | 
|  | autonom | D.11.2.3 autonom | 
|  | autonomDim | D.11.2.4 autonomDim | 
|  | autX | D.15.2.6 autX | 
|  | autXhat | D.15.2.5 autXhat | 
|  | awalk1 | D.4.7.3 awalk1 | 
|  | awalk2 | D.4.7.4 awalk2 | 
| 
 |