|  | Index Entry | Section | 
|---|
| 
 | 
| C |  |  | 
|---|
|  | C programming language | 6.3 Major differences to the C programming language | 
|  | C, module ordering | B.2.5 Module orderings | 
|  | c, module ordering | B.2.5 Module orderings | 
|  | calculate_max_sum | D.12.3.56 calculate_max_sum | 
|  | calculate_ordering | D.12.3.34 calculate_ordering | 
|  | calculateI | D.5.5.15 calculateI | 
|  | cancelunit, option | 5.1.110 option | 
|  | canonical | D.2.4.1 grobcov | 
|  | canonical form | D.2.4.5 Crep | 
|  | canonical form | D.2.4.6 Prep | 
|  | canonical form | D.2.4.7 PtoCrep | 
|  | canonical form | D.2.4.22 ConsLevels | 
|  | canonical form | D.2.4.23 Levels | 
|  | canonical form | D.2.4.24 Grob1Levels | 
|  | canonical form | D.2.4.25 DifConsLCSets | 
|  | canonical, | D.2.4.9 extendGC | 
|  | canonicalizeCone | D.13.1.5 canonicalizeCone | 
|  | canonize | D.11.2.11 canonize | 
|  | canonMap | D.4.8.1 canonMap | 
|  | cantoradd | D.12.4.9 cantoradd | 
|  | cantormult | D.12.4.12 cantormult | 
|  | cantorred | D.12.4.10 cantorred | 
|  | cardGroup | D.4.4.4 cardGroup | 
|  | case | 6.3.3 No case or switch statement | 
|  | Castelnuovo-Mumford regularity | D.5.10.3 CM_regularity | 
|  | Category string | 3.8.3 Category string | 
|  | catNets | D.15.26.1 catNets | 
|  | cccMatrixToPositiveIntvec | D.15.35.4 cccMatrixToPositiveIntvec | 
|  | cdd | 1. Preface | 
|  | cddlib | 1. Preface | 
|  | CenCharDec | 7.5.11.0. CenCharDec | 
|  | Center | D.5.8.3 Center | 
|  | center | 7.5.3 central_lib | 
|  | center | 7.5.3.0. center | 
|  | center | D.14.1.10 arrCenter | 
|  | center | D.14.1.11 arrCentral | 
|  | center | D.14.1.12 arrCentered | 
|  | center | D.14.1.13 arrCentralize | 
|  | CenterBO | D.5.8.10 CenterBO | 
|  | centerRed | 7.5.3.0. centerRed | 
|  | centerVS | 7.5.3.0. centerVS | 
|  | central | D.14.1.4 mat2carr | 
|  | central | D.14.1.11 arrCentral | 
|  | central | D.14.1.13 arrCentralize | 
|  | central | D.14.1.27 arrRandomCentral | 
|  | central.lib | 7.5.3 central_lib | 
|  | central1st | D.15.15.8 central1st | 
|  | central2nd | D.15.15.9 central2nd | 
|  | central_lib | 7.5.3 central_lib | 
|  | centralize | 7.5.3 central_lib | 
|  | centralizer | 7.5.3 central_lib | 
|  | centralizer | 7.5.3.0. centralizer | 
|  | centralizerRed | 7.5.3.0. centralizerRed | 
|  | centralizerVS | 7.5.3.0. centralizerVS | 
|  | centralizeSet | 7.5.3.0. centralizeSet | 
|  | CentralQuot | 7.5.11.0. CentralQuot | 
|  | CentralSaturation | 7.5.11.0. CentralSaturation | 
|  | cf_class | 5.1.2 attrib | 
|  | CGS | D.2.4.2 cgsdr | 
|  | cgs | D.2.2.1 cgs | 
|  | cgsdr | D.2.4.2 cgsdr | 
|  | chaincrit | D.12.5.10 chaincrit | 
|  | chAll | D.15.4.10 chAll | 
|  | chAllInv | D.15.4.11 chAllInv | 
|  | chambers | D.14.1.42 arrChambers | 
|  | chambers | D.14.1.43 arrBoundedChambers | 
|  | Change of rings | 2.3.4 Change of rings | 
|  | changechar | D.2.11.1 changechar | 
|  | changeCoordinates | D.15.36.2 changeCoordinates | 
|  | changeDenominator | D.4.19.14 changeDenominator | 
|  | changeord | D.2.11.2 changeord | 
|  | changeordTo | D.2.11.25 changeordTo | 
|  | changes | E.1 News and changes | 
|  | changevar | D.2.11.3 changevar | 
|  | char | 5.1.5 char | 
|  | char_series | 5.1.6 char_series | 
|  | characteristic exponents | D.6.1.7 charexp2multseq | 
|  | characteristic exponents | D.6.1.8 charexp2generators | 
|  | characteristic exponents | D.6.1.9 charexp2inter | 
|  | characteristic exponents | D.6.1.10 charexp2conductor | 
|  | characteristic exponents | D.6.11.6 invariants | 
|  | characteristic polynomial | D.14.1.40 arrCharPoly | 
|  | Characteristic sets | C.4 Characteristic sets | 
|  | characteristic variety | 7.5.5 dmodapp_lib | 
|  | characteristic variety | 7.5.13 dmodloc_lib | 
|  | CharacteristicExponents | D.6.6.7 CharacteristicExponents | 
|  | charexp2conductor | D.6.1.10 charexp2conductor | 
|  | charexp2generators | D.6.1.8 charexp2generators | 
|  | charexp2inter | D.6.1.9 charexp2inter | 
|  | charexp2multseq | D.6.1.7 charexp2multseq | 
|  | charexp2poly | D.6.1.11 charexp2poly | 
|  | charInfo | 7.5.5.0. charInfo | 
|  | charpoly | D.3.2.8 charpoly | 
|  | charstr | 5.1.7 charstr | 
|  | charVariety | 7.5.5.0. charVariety | 
|  | chDual | D.15.4.16 chDual | 
|  | checkFactor | 7.5.4.0. checkFactor | 
|  | checkRoot | 7.5.4.0. checkRoot | 
|  | chern | D.15.4.5 chern | 
|  | chern.lib | D.15.4 chern_lib | 
|  | chern_lib | D.15.4 chern_lib | 
|  | chernCharPoly | D.15.4.47 chernCharPoly | 
|  | ChernClass | D.15.33.13 ChernClass | 
|  | chernPoly | D.15.4.46 chernPoly | 
|  | ChernRootsDual | D.15.4.15 ChernRootsDual | 
|  | ChernRootsHom | D.15.4.24 ChernRootsHom | 
|  | ChernRootsProd | D.15.4.17 ChernRootsProd | 
|  | ChernRootsSum | D.15.4.13 ChernRootsSum | 
|  | ChernRootsSymm | D.15.4.26 ChernRootsSymm | 
|  | ChernRootsWedge | D.15.4.27 ChernRootsWedge | 
|  | Chevalley-Rosenlicht theorem | D.5.3 orbitparam_lib | 
|  | Chevalley-Rosenlicht theorem | D.5.3.1 tangentGens | 
|  | chHE | D.15.4.12 chHE | 
|  | chHom | D.15.4.25 chHom | 
|  | chineseRem | D.12.3.5 chineseRem | 
|  | chinrem | 5.1.8 chinrem | 
|  | chinrempoly | D.15.27.1 chinrempoly | 
|  | chinrestp | D.12.4.3 chinrestp | 
|  | chNum | D.15.4.6 chNum | 
|  | chNumbers | D.15.4.7 chNumbers | 
|  | chNumbersProj | D.15.4.44 chNumbersProj | 
|  | Chow ring, abstract variety, projective space, Grassmannian | D.15.33.4 ChowRing | 
|  | ChowRing | D.15.33.4 ChowRing | 
|  | chProd | D.15.4.18 chProd | 
|  | chProdE | D.15.4.19 chProdE | 
|  | chProdL | D.15.4.20 chProdL | 
|  | chProdLP | D.15.4.21 chProdLP | 
|  | chProdM | D.15.4.22 chProdM | 
|  | chProdMP | D.15.4.23 chProdMP | 
|  | chProj | D.15.4.41 chProj | 
|  | chSum | D.15.4.14 chSum | 
|  | chSymm | D.15.4.28 chSymm | 
|  | chSymm2L | D.15.4.29 chSymm2L | 
|  | chSymm2LP | D.15.4.30 chSymm2LP | 
|  | chWedge | D.15.4.31 chWedge | 
|  | chWedge2L | D.15.4.32 chWedge2L | 
|  | chWedge2LP | D.15.4.33 chWedge2LP | 
|  | cimonom.lib | D.15.5 cimonom_lib | 
|  | cimonom_lib | D.15.5 cimonom_lib | 
|  | cisimplicial.lib | D.4.4 cisimplicial_lib | 
|  | cisimplicial_lib | D.4.4 cisimplicial_lib | 
|  | classification | D.15.1 arnoldclassify_lib | 
|  | classification | D.15.6 classify2_lib | 
|  | Classification of hypersurface singularities | A.4.8 Classification of hypersurface singularities | 
|  | Classification of singularities | D.15.29.1 realclassify | 
|  | classify | D.6.3.2 classify | 
|  | classify.lib | D.6.3 classify_lib | 
|  | classify2.lib | D.15.6 classify2_lib | 
|  | classify2_lib | D.15.6 classify2_lib | 
|  | classify_aeq.lib | D.15.7 classify_aeq_lib | 
|  | classify_aeq_lib | D.15.7 classify_aeq_lib | 
|  | classify_lib | D.6.3 classify_lib | 
|  | classifyCeq | D.6.4.1 classifyCeq | 
|  | classifyceq.lib | D.6.4 classifyceq_lib | 
|  | classifyceq_lib | D.6.4 classifyceq_lib | 
|  | classifyci.lib | D.6.5 classifyci_lib | 
|  | classifyci_lib | D.6.5 classifyci_lib | 
|  | classifyicis | D.6.5.1 classifyicis | 
|  | classifyMapGerms.lib | D.15.8 classifyMapGerms_lib | 
|  | classifyMapGerms_lib | D.15.8 classifyMapGerms_lib | 
|  | classifySimpleMaps | D.15.8.6 classifySimpleMaps | 
|  | classifySimpleMaps1 | D.15.8.7 classifySimpleMaps1 | 
|  | classifyUnimodalMaps | D.15.8.8 classifyUnimodalMaps | 
|  | classpoly | D.15.4.45 classpoly | 
|  | cleanTmp | D.13.4.35 cleanTmp | 
|  | cleanunit | D.5.5.13 cleanunit | 
|  | cleardenom | 5.1.9 cleardenom | 
|  | close | 5.1.10 close | 
|  | closed_points | D.10.1.10 closed_points | 
|  | closetex | D.9.2.1 closetex | 
|  | closureFrac | D.4.19.7 closureFrac | 
|  | CM_regularity | D.5.10.3 CM_regularity | 
|  | CMtype | D.6.16.2 CMtype | 
|  | Code | Codes | 
|  | Codes and the decoding problem | C.8.1 Codes and the decoding problem | 
|  | codim | D.6.15.1 codim | 
|  | coDim | D.15.8.2 coDim | 
|  | codimension | D.13.1.6 codimension | 
|  | coDimMap | D.15.8.1 coDimMap | 
|  | coding theory | A.8.2 AG codes | 
|  | Coding theory | D.10 Coding theory | 
|  | coef | 5.1.11 coef | 
|  | coefficient | D.14.1.3 mat2arr | 
|  | coefficient | D.14.1.4 mat2carr | 
|  | coefficient | D.14.1.5 arrPrintMatrix | 
|  | coefficient field | 4.14 number | 
|  | Coefficient rings | Coefficient rings | 
|  | coefficient rings, ring of integers, zero divisors, p-adic numbers | 3.3.4 Coefficient rings | 
|  | coefficients | D.15.12.8 difformCoef | 
|  | coefficients, long | A.1.4 Long coefficients | 
|  | coeffmod | D.12.1.6 coeffmod | 
|  | coeffs | 5.1.12 coeffs | 
|  | coHom | 7.5.15.0. coHom | 
|  | coker | D.15.23.23 coker | 
|  | colength of derivations | D.15.10.4 curveColengthDerivations | 
|  | collectDiv | D.5.9.5 collectDiv | 
|  | colrank | D.11.2.9 colrank | 
|  | colred | D.3.1.23 colred | 
|  | combinat.lib | D.15.9 combinat_lib | 
|  | combinat_lib | D.15.9 combinat_lib | 
|  | comma | 6.3.4 Usage of commas | 
|  | Command line options | 3.1.6 Command line options | 
|  | command,custom | 4.23.4 Commands for user defined types | 
|  | command-line option, setting value of | 5.1.153 system | 
|  | command-line option, value of | 5.1.153 system | 
|  | command-line options, print all values of | 5.1.153 system | 
|  | command-line options, short help | 3.1.6 Command line options | 
|  | Commands | 5. Functions and system variables | 
|  | commands (letterplace) | 7.8 Functions (letterplace) | 
|  | commands (plural) | 7.3 Functions (plural) | 
|  | Commands for user defined types | 4.23.4 Commands for user defined types | 
|  | comment | 3.5.2 Special characters | 
|  | commRing | 7.5.13.0. commRing | 
|  | Commutative Algebra | A.3 Commutative Algebra | 
|  | Commutative algebra | D.4 Commutative algebra | 
|  | compare | D.15.12.19 difformEqu | 
|  | compare | D.15.12.20 difformNeq | 
|  | compare | D.15.12.21 difformIsBigger | 
|  | compare | D.15.12.22 difformIsSmaller | 
|  | compare | D.15.12.40 derivationEqu | 
|  | compare | D.15.12.41 derivationNeq | 
|  | compareMatrix | D.15.23.31 compareMatrix | 
|  | compareModules | D.15.23.26 compareModules | 
|  | compareTasks | D.2.12.4 compareTasks | 
|  | compareVectors | D.15.23.51 compareVectors | 
|  | CompDecomp | 7.5.1.0. CompDecomp | 
|  | CompInt | D.15.5.3 CompInt | 
|  | CompleteHomog | D.15.4.3 CompleteHomog | 
|  | completeReduction | D.7.2.5 completeReduction | 
|  | complex | 3.3 Rings and orderings | 
|  | complexClassify | D.15.6.1 complexClassify | 
|  | complexSingType | D.6.3.16 complexSingType | 
|  | complexType | D.15.6.2 complexType | 
|  | ComplexValue | D.15.15.19 ComplexValue | 
|  | compregb.lib | D.2.2 compregb_lib | 
|  | compregb_lib | D.2.2 compregb_lib | 
|  | comprehensive Groebner system | D.2.2 compregb_lib | 
|  | Comprehensive Groebner System | D.2.4.2 cgsdr | 
|  | compress | D.3.1.1 compress | 
|  | computeAfaceOrbits | D.15.18.12 computeAfaceOrbits | 
|  | computeConstant | D.4.6.4 computeConstant | 
|  | computeGromovWitten | D.4.6.7 computeGromovWitten | 
|  | computemcm | D.5.5.20 computemcm | 
|  | computeN | D.5.9.9 computeN | 
|  | computeV | D.5.9.8 computeV | 
|  | Computing Groebner and Standard Bases | A.2 Computing Groebner and Standard Bases | 
|  | concat | D.3.1.2 concat | 
|  | conductor | D.4.19.15 normalConductor | 
|  | conductor | D.6.1.10 charexp2conductor | 
|  | conductor | D.15.10.2 curveConductorMult | 
|  | conductor, degree | D.6.11.6 invariants | 
|  | cone | 4.24 cone | 
|  | cone | D.14.1.16 arrCone | 
|  | cone | D.14.1.17 arrDecone | 
|  | coneLink | D.13.1.9 coneLink | 
|  | coneViaInequalities | D.13.1.8 coneViaInequalities | 
|  | coneViaPoints | D.13.1.7 coneViaPoints | 
|  | conic, parametrization, rational point. | D.5.4.9 paraConic | 
|  | conicWithTangents | D.13.4.11 conicWithTangents | 
|  | ConsLevels | D.2.4.22 ConsLevels | 
|  | constructblwup | D.5.5.22 constructblwup | 
|  | constructH | D.5.5.21 constructH | 
|  | constructible set | D.2.4.22 ConsLevels | 
|  | constructible set | D.2.4.24 Grob1Levels | 
|  | constructible sets | D.2.4.23 Levels | 
|  | constructible sets | D.2.4.25 DifConsLCSets | 
|  | constructlastblwup | D.5.5.23 constructlastblwup | 
|  | constructor | D.14.1.33 arr2multarr | 
|  | constructor | D.14.1.34 multarr2arr | 
|  | constructor | D.15.12.7 difformFromPoly | 
|  | constructor | D.15.12.30 derivationFromList | 
|  | constructor | D.15.12.31 derivationCheckList | 
|  | constructor | D.15.12.32 derivationFromPoly | 
|  | constructor | D.15.12.33 derivationConstructor | 
|  | contact matrix | D.6.1.9 charexp2inter | 
|  | ContactMatrix | D.6.6.9 ContactMatrix | 
|  | containedQ | D.8.6.13 containedQ | 
|  | containment | D.15.12.26 difformListCont | 
|  | containsAsFace | D.13.1.10 containsAsFace | 
|  | containsInCollection | D.13.1.43 containsInCollection | 
|  | containsInSupport | D.13.1.11 containsInSupport | 
|  | containsPositiveVector | D.13.1.12 containsPositiveVector | 
|  | containsRelatively | D.13.1.13 containsRelatively | 
|  | content | D.2.8.14 content | 
|  | contentSB, option | 5.1.110 option | 
|  | Conti-Traverso algorithm | C.6.2.1 The algorithm of Conti and Traverso | 
|  | continue | 5.2.4 continue | 
|  | continue | 6.3.6 Behavior of continue | 
|  | contract | 5.1.13 contract | 
|  | contraction | D.15.12.43 derivationContractionGen | 
|  | contraction | D.15.12.44 derivationContraction | 
|  | contraction | D.15.12.45 derivationLie | 
|  | contraHom | 7.5.15.0. contraHom | 
|  | contribution bundle, graph, multiple cover, rational curve, | D.15.33.27 contributionBundle | 
|  | contributionBundle | D.15.33.27 contributionBundle | 
|  | contributors | 5.1.153 system | 
|  | Contributors | Acknowledgements | 
|  | control | D.11.2.1 control | 
|  | Control structures | 5.2 Control structures | 
|  | Control theory | D.11 System and Control theory | 
|  | control.lib | D.11.2 control_lib | 
|  | control_lib | D.11.2 control_lib | 
|  | control_Matrix | D.6.8.5 control_Matrix | 
|  | controlDim | D.11.2.2 controlDim | 
|  | controlExample | D.11.2.14 controlExample | 
|  | convertdata | D.5.5.18 convertdata | 
|  | convertLeftToRightFraction | 7.5.20.0. convertLeftToRightFraction | 
|  | convertRightToLeftFraction | 7.5.20.0. convertRightToLeftFraction | 
|  | convexHull | D.13.1.14 convexHull | 
|  | convexIntersection | D.13.1.15 convexIntersection | 
|  | convloc | 7.5.4.0. convloc | 
|  | Cooper philosophy | C.8.2 Cooper philosophy | 
|  | coordinate change | D.14.1.13 arrCentralize | 
|  | coordinate change | D.14.1.14 arrCoordChange | 
|  | coordinate change | D.14.1.15 arrCoordNormalize | 
|  | coordinates | D.12.7.8 coords | 
|  | coords | D.12.7.8 coords | 
|  | copyright | 1. Preface | 
|  | copyTask | D.2.12.3 copyTask | 
|  | corank | D.6.3.3 corank | 
|  | Cornacchia | D.12.2.4 Cornacchia | 
|  | CornacchiaModified | D.12.2.5 CornacchiaModified | 
|  | cornerMonomials | D.4.21.2 cornerMonomials | 
|  | countPoints | D.12.3.27 countPoints | 
|  | coverings | D.4.6.6 gromovWitten | 
|  | coverings | D.4.6.7 computeGromovWitten | 
|  | cProj | D.15.4.40 cProj | 
|  | cpu | 5.1.153 system | 
|  | cpu | 5.1.153 system | 
|  | create_ring | 5.1.14 create_ring | 
|  | createBO | D.5.8.9 createBO | 
|  | createGradedRingHomomorphism | D.15.25.12 createGradedRingHomomorphism | 
|  | createGroup | D.15.25.5 createGroup | 
|  | createlist | D.5.5.31 createlist | 
|  | createQuotientGroup | D.15.25.6 createQuotientGroup | 
|  | createTask | D.2.12.1 createTask | 
|  | createTorsionFreeGroup | D.15.25.7 createTorsionFreeGroup | 
|  | Crep | D.2.4.5 Crep | 
|  | CRHT-ideal | CRHT-ideal | 
|  | cring | 4.1 cring | 
|  | cring declarations | 4.1.1 cring declarations | 
|  | cring expressions | 4.1.2 cring expressions | 
|  | cring operations | 4.1.3 cring operations | 
|  | cring related functions | 4.1.4 cring related functions | 
|  | Critical points | A.4.2 Critical points | 
|  | crossprod | 5.1.15 crossprod | 
|  | crypto.lib | D.12.3 crypto_lib | 
|  | crypto_lib | D.12.3 crypto_lib | 
|  | crystallographicGroupC2MM | 7.10.2.14 crystallographicGroupC2MM | 
|  | crystallographicGroupCM | 7.10.2.13 crystallographicGroupCM | 
|  | crystallographicGroupP1 | 7.10.2.7 crystallographicGroupP1 | 
|  | crystallographicGroupP2 | 7.10.2.11 crystallographicGroupP2 | 
|  | crystallographicGroupP2GG | 7.10.2.12 crystallographicGroupP2GG | 
|  | crystallographicGroupP2MM | 7.10.2.10 crystallographicGroupP2MM | 
|  | crystallographicGroupP3 | 7.10.2.18 crystallographicGroupP3 | 
|  | crystallographicGroupP31M | 7.10.2.19 crystallographicGroupP31M | 
|  | crystallographicGroupP3M1 | 7.10.2.20 crystallographicGroupP3M1 | 
|  | crystallographicGroupP4 | 7.10.2.15 crystallographicGroupP4 | 
|  | crystallographicGroupP4GM | 7.10.2.17 crystallographicGroupP4GM | 
|  | crystallographicGroupP4MM | 7.10.2.16 crystallographicGroupP4MM | 
|  | crystallographicGroupP6 | 7.10.2.21 crystallographicGroupP6 | 
|  | crystallographicGroupP6MM | 7.10.2.22 crystallographicGroupP6MM | 
|  | crystallographicGroupPG | 7.10.2.9 crystallographicGroupPG | 
|  | crystallographicGroupPM | 7.10.2.8 crystallographicGroupPM | 
|  | CSMA | D.15.4.59 CSMA | 
|  | cup | D.4.8.2 cup | 
|  | cupproduct | D.4.8.3 cupproduct | 
|  | curve singularities | D.6.1 alexpoly_lib | 
|  | curve singularities | D.6.11 hnoether_lib | 
|  | curve singularity | D.15.10 curveInv_lib | 
|  | curveColengthDerivations | D.15.10.4 curveColengthDerivations | 
|  | curveConductorMult | D.15.10.2 curveConductorMult | 
|  | curveDeligneNumber | D.15.10.3 curveDeligneNumber | 
|  | curveDeltaInv | D.15.10.1 curveDeltaInv | 
|  | curveInv.lib | D.15.10 curveInv_lib | 
|  | curveInv_lib | D.15.10 curveInv_lib | 
|  | curvepar.lib | D.6.6 curvepar_lib | 
|  | curvepar_lib | D.6.6 curvepar_lib | 
|  | CurveParam | D.6.6.3 CurveParam | 
|  | CurveRes | D.6.6.2 CurveRes | 
|  | Curves | D.5.4 paraplanecurves_lib | 
|  | custom assignment | 4.23.5 Assignments for user defined types | 
|  | custom command | 4.23.4 Commands for user defined types | 
|  | custom type | 4.23.1 Definition of a user defined type | 
|  | Customization of the Emacs interface | 3.2.4 Customization of the Emacs interface | 
|  | customstd.lib | D.14.2 customstd_lib | 
|  | customstd_lib | D.14.2 customstd_lib | 
|  | cycleLength | D.13.2.6 cycleLength | 
|  | cyclePoints | D.13.2.10 cyclePoints | 
|  | cyclic | D.2.8.1 cyclic | 
|  | cyclic code | Cyclic codes | 
|  | Cyclic code | D.10.2 decodegb_lib | 
|  | Cyclic roots | A.1.7 Cyclic roots | 
|  | cyclotomic | D.7.1.7 cyclotomic | 
|  | CYGWIN and ESingular | CYGWIN and ESingular | 
| 
 |