| Index Entry | Section |
|
B | | |
| b-function | 7.7.1 bfun_lib |
| babyGiant | D.12.3.16 babyGiant |
| Background | 2.1 Background |
| backward | D.15.3.7 backward |
| bareiss | 5.1.2 bareiss |
| base2str | D.2.2.2 base2str |
| basering | 3.3 Rings and orderings |
| basering | 4.3 def |
| Basic programming | A.1.1 Basic programming |
| Basic programming | A.1.1 Basic programming |
| basicinvariants | D.6.3.1 basicinvariants |
| belongSemigroup | D.4.4.2 belongSemigroup |
| bernstein | D.6.7.4 bernstein |
| Bernstein operator | 7.7.3 dmod_lib |
| Bernstein-Sato polynomial | 7.7.1 bfun_lib |
| Bernstein-Sato polynomial | 7.7.3 dmod_lib |
| Bernstein-Sato polynomial | D.6.7 gmssing_lib |
| Bernstein-Sato polynomial | D.6.7.4 bernstein |
| Bernstein-Sato polynomial for variety | 7.7.5 dmodvar_lib |
| bernsteinBM | 7.7.3.0. bernsteinBM |
| bernsteinLift | 7.7.3.0. bernsteinLift |
| betti | 5.1.3 betti |
| betti (plural) | 7.3.1 betti (plural) |
| Betti number | Betti numbers and regularity |
| bFactor | 7.7.4.0. bFactor |
| bfct | 7.7.1.0. bfct |
| bfctAnn | 7.7.1.0. bfctAnn |
| bfctIdeal | 7.7.1.0. bfctIdeal |
| bfctOneGB | 7.7.1.0. bfctOneGB |
| bfctSyz | 7.7.1.0. bfctSyz |
| bfctVarAnn | 7.7.5.0. bfctVarAnn |
| bfctVarIn | 7.7.5.0. bfctVarIn |
| bfun.lib | 7.7.1 bfun_lib |
| bfun_lib | 7.7.1 bfun_lib |
| Bigatti-La Scala-Robbiano algorithm | C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano |
| bigint | 4.1 bigint |
| bigint declarations | 4.1.1 bigint declarations |
| bigint expressions | 4.1.2 bigint expressions |
| bigint operations | 4.1.3 bigint operations |
| bigint related functions | 4.1.4 bigint related functions |
| bigintmat | 4.2 bigintmat |
| bigintmat declarations | 4.2.1 bigintmat declarations |
| bigintmat expressions | 4.2.2 bigintmat expressions |
| bigintmat operations | 4.2.4 bigintmat operations |
| bigintmat type cast | 4.2.3 bigintmat type cast |
| binomial | D.2.3.4 binomial |
| binomials2intmat | D.4.16.26 binomials2intmat |
| BINresol | D.5.2.1 BINresol |
| birational map, image, inverse. | D.5.1.2 invertBirMap |
| blackbox | 4.26 pyobject |
| block | 3.5.6 Flow control |
| block | 5.2 Control structures |
| BlowingUp | D.6.4.1 BlowingUp |
| blowUp | D.5.5.1 blowUp |
| blowup0 | D.4.5.1 blowup0 |
| blowUp2 | D.5.5.2 blowUp2 |
| blowUpBO | D.5.5.8 blowUpBO |
| Blowupcenter | D.5.2.4 Blowupcenter |
| boolean expressions | 4.5.5 boolean expressions |
| boolean operations | 4.5.6 boolean operations |
| boundBuFou | D.12.8.4 boundBuFou |
| boundDes | D.12.8.6 boundDes |
| boundposDes | D.12.8.5 boundposDes |
| bracket | 6.3.5 Usage of brackets |
| bracket | 7.3.2 bracket |
| Branches of space curve singularities | A.4.7 Branches of space curve singularities |
| break | 5.2.1 break |
| break point | 5.2.15 ~ (break point) |
| breakpoint | 5.2.2 breakpoint |
| Briancon-Maisonobe algorithm | 7.7.3 dmod_lib |
| Brieskorn lattice | D.6.7 gmssing_lib |
| Brieskorn lattice | D.6.7.1 gmsring |
| Brieskorn lattice | D.6.7.2 gmsnf |
| Brieskorn lattice | D.6.7.3 gmscoeffs |
| Brieskorn lattice | D.6.7.4 bernstein |
| Brieskorn lattice | D.6.7.5 monodromy |
| Brieskorn lattice | D.6.7.6 spectrum |
| Brieskorn lattice | D.6.7.7 sppairs |
| Brieskorn lattice | D.6.7.8 vfilt |
| Brieskorn lattice | D.6.7.9 vwfilt |
| Brieskorn lattice | D.6.7.10 tmatrix |
| Brieskorn lattice | D.6.7.11 endvfilt |
| Brieskorn lattice | D.6.8 gmspoly_lib |
| Brieskorn lattice | D.6.8.2 goodBasis |
| Brieskorn lattice | D.6.11 mondromy_lib |
| Brill-Noether algorithm | D.10.1 brnoeth_lib |
| BrillNoether | D.10.1.3 BrillNoether |
| brnoeth.lib | D.10.1 brnoeth_lib |
| brnoeth_lib | D.10.1 brnoeth_lib |
| browser, command line option | 3.1.6 Command line options |
| browser, setting the | 5.1.141 system |
| browsers | 3.1.3 The online help system |
| browsers, setting the | 5.1.141 system |
| bubblesort | D.12.2.2 bubblesort |
| Buchberger algorithm for toric ideals | C.6.3 The Buchberger algorithm for toric ideals |
| Budur-Mustata-Saito approach | 7.7.5 dmodvar_lib |
| bug, ESingular | Troubleshooting |
| buildtreetoMaple | D.2.4.9 buildtreetoMaple |
| busadj | D.3.2.7 busadj |
|
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 |
| calculateI | D.5.2.15 calculateI |
| cancelunit, option | 5.1.100 option |
| canonicalizeCone | 4.23.3.1 canonicalizeCone |
| canonize | D.11.2.11 canonize |
| canonMap | D.4.7.1 canonMap |
| cantoradd | D.12.4.9 cantoradd |
| cantormult | D.12.4.12 cantormult |
| cantorred | D.12.4.10 cantorred |
| cantreetoMaple | D.2.4.10 cantreetoMaple |
| cardGroup | D.4.4.4 cardGroup |
| case | 6.3.3 No case or switch statement |
| Castelnuovo-Mumford regularity | D.5.7.3 CM_regularity |
| Category string | 3.8.3 Category string |
| cdd | 1. Preface |
| cddlib | 1. Preface |
| CenCharDec | 7.7.11.0. CenCharDec |
| Center | D.5.5.3 Center |
| center | 7.7.2 central_lib |
| center | 7.7.2.0. center |
| CenterBO | D.5.5.10 CenterBO |
| centerRed | 7.7.2.0. centerRed |
| centerVS | 7.7.2.0. centerVS |
| central.lib | 7.7.2 central_lib |
| central1st | D.15.3.8 central1st |
| central2nd | D.15.3.9 central2nd |
| central_lib | 7.7.2 central_lib |
| centralize | 7.7.2 central_lib |
| centralizer | 7.7.2 central_lib |
| centralizer | 7.7.2.0. centralizer |
| centralizerRed | 7.7.2.0. centralizerRed |
| centralizerVS | 7.7.2.0. centralizerVS |
| centralizeSet | 7.7.2.0. centralizeSet |
| CentralQuot | 7.7.11.0. CentralQuot |
| CentralSaturation | 7.7.11.0. CentralSaturation |
| cgs | D.2.2.1 cgs |
| CGS, disjoint, reduced, comprehensive Groebner system | D.2.4.2 cgsdr |
| cgsdr | D.2.4.2 cgsdr |
| cgsdr, buildtree, Maple | D.2.4.9 buildtreetoMaple |
| chaincrit | D.12.5.10 chaincrit |
| Change of rings | 2.3.4 Change of rings |
| changechar | D.2.8.1 changechar |
| changeDenominator | D.4.15.14 changeDenominator |
| changeord | D.2.8.2 changeord |
| changes | E.1 News and changes |
| changevar | D.2.8.3 changevar |
| char | 5.1.4 char |
| char_series | 5.1.5 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.6.9.6 invariants |
| Characteristic sets | C.4 Characteristic sets |
| characteristic variety | 7.7.4 dmodapp_lib |
| CharacteristicExponents | D.6.4.7 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 | 7.7.4.0. charInfo |
| charpoly | D.3.2.8 charpoly |
| charstr | 5.1.6 charstr |
| charVariety | 7.7.4.0. charVariety |
| checkFactor | 7.7.3.0. checkFactor |
| checkRoot | 7.7.3.0. checkRoot |
| chineseRem | D.12.3.7 chineseRem |
| chinrem | 5.1.7 chinrem |
| chinrestp | D.12.4.3 chinrestp |
| cisimplicial.lib | D.4.4 cisimplicial_lib |
| cisimplicial_lib | D.4.4 cisimplicial_lib |
| Classification of hypersurface singularities | A.4.8 Classification of hypersurface singularities |
| Classification of singularities | D.15.9.1 realclassify |
| classify | D.6.3.2 classify |
| classify.lib | D.6.3 classify_lib |
| classify_lib | D.6.3 classify_lib |
| cleanTmp | D.13.2.35 cleanTmp |
| cleanunit | D.5.2.13 cleanunit |
| cleardenom | 5.1.8 cleardenom |
| close | 5.1.9 close |
| closed_points | D.10.1.10 closed_points |
| closetex | D.9.2.1 closetex |
| closureFrac | D.4.15.7 closureFrac |
| CM_regularity | D.5.7.3 CM_regularity |
| CMtype | D.6.14.2 CMtype |
| Code | Codes |
| Codes and the decoding problem | C.8.1 Codes and the decoding problem |
| codim | D.6.13.1 codim |
| codimension | 4.23.3.8 codimension |
| coding theory | A.7.2 AG codes |
| Coding theory | D.10 Coding theory |
| coef | 5.1.10 coef |
| coefficient field | 4.13 number |
| coefficient rings, ring of integers, zero divisors, p-adic numbers | 3.3.4 Coefficient rings |
| coefficients, long | A.1.4 Long coefficients |
| coeffmod | D.12.1.6 coeffmod |
| coeffs | 5.1.11 coeffs |
| collectDiv | D.5.6.5 collectDiv |
| colrank | D.11.2.9 colrank |
| colred | D.3.1.24 colred |
| comma | 6.3.4 Usage of commas |
| Command line options | 3.1.6 Command line options |
| command,custom | 4.22.4 Commands for user defined types |
| command-line option, setting value of | 5.1.141 system |
| command-line option, value of | 5.1.141 system |
| command-line options, print all values of | 5.1.141 system |
| command-line options, short help | 3.1.6 Command line options |
| Commands | 5. Functions and system variables |
| commands (plural) | 7.3 Functions (plural) |
| Commands for user defined types | 4.22.4 Commands for user defined types |
| comment | 3.5.2 Special characters |
| Commutative algebra | D.4 Commutative algebra |
| Commutative Algebra | A.3 Commutative Algebra |
| completeReduction | D.7.2.5 completeReduction |
| complex | 3.3 Rings and orderings |
| complexSingType | D.6.3.16 complexSingType |
| ComplexValue | D.15.3.19 ComplexValue |
| compregb.lib | D.2.2 compregb_lib |
| compregb_lib | D.2.2 compregb_lib |
| comprehensive Groebner system | D.2.2 compregb_lib |
| compress | D.3.1.1 compress |
| computemcm | D.5.2.20 computemcm |
| Computing Groebner and Standard Bases | A.2 Computing Groebner and Standard Bases |
| concat | D.3.1.2 concat |
| conductor | D.6.1.10 charexp2conductor |
| conductor, degree | D.6.9.6 invariants |
| cone | 4.23 cone |
| cone related functions | 4.23.3 cone related functions |
| coneLink | 4.23.3.2 coneLink |
| coneViaInequalities | 4.23.2 coneViaInequalities |
| coneViaPoints | 4.23.1 coneViaPoints |
| conic, parametrization, rational point. | D.5.1.9 paraConic |
| conicWithTangents | D.13.2.11 conicWithTangents |
| constructblwup | D.5.2.22 constructblwup |
| constructH | D.5.2.21 constructH |
| constructlastblwup | D.5.2.23 constructlastblwup |
| contact matrix | D.6.1.9 charexp2inter |
| ContactMatrix | D.6.4.9 ContactMatrix |
| containedQ | D.8.5.13 containedQ |
| containsAsFace | 4.23.3.3 containsAsFace |
| containsInCollection | 4.24.1.1 containsInCollection |
| containsInSupport | 4.23.3.4 containsInSupport |
| containsPositiveVector | 4.23.3.5 containsPositiveVector |
| containsRelatively | 4.23.3.6 containsRelatively |
| content | D.2.6.14 content |
| contentSB, option | 5.1.100 option |
| Conti-Traverso algorithm | C.6.2.1 The algorithm of Conti and Traverso |
| continue | 5.2.3 continue |
| continue | 6.3.6 Behavior of continue |
| contract | 5.1.12 contract |
| Contributors | Acknowledgements |
| contributors | 5.1.141 system |
| 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.6.6.5 control_Matrix |
| controlDim | D.11.2.2 controlDim |
| controlExample | D.11.2.14 controlExample |
| convertdata | D.5.2.18 convertdata |
| convexHull | 4.23.3.27 convexHull |
| convexIntersection | 4.23.3.28 convexIntersection |
| convloc | 7.7.3.0. convloc |
| Cooper philosophy | C.8.2 Cooper philosophy |
| coordinates | D.12.7.8 coords |
| coords | D.12.7.8 coords |
| copyright | 1. Preface |
| corank | D.6.3.3 corank |
| Cornacchia | D.12.2.4 Cornacchia |
| CornacchiaModified | D.12.2.5 CornacchiaModified |
| cornerMonomials | D.4.17.2 cornerMonomials |
| countPoints | D.12.3.29 countPoints |
| cpu | 5.1.141 system |
| cpu | 5.1.141 system |
| createBO | D.5.5.9 createBO |
| createGradedRingHomomorphism | D.15.7.12 createGradedRingHomomorphism |
| createGroup | D.15.7.5 createGroup |
| createlist | D.5.2.31 createlist |
| createQuotientGroup | D.15.7.6 createQuotientGroup |
| createTorsionFreeGroup | D.15.7.7 createTorsionFreeGroup |
| CRHT-ideal | CRHT-ideal |
| Critical points | A.4.2 Critical points |
| crypto.lib | D.12.3 crypto_lib |
| crypto_lib | D.12.3 crypto_lib |
| cup | D.4.7.2 cup |
| cupproduct | D.4.7.3 cupproduct |
| curve singularities | D.6.1 alexpoly_lib |
| curve singularities | D.6.9 hnoether_lib |
| curvepar.lib | D.6.4 curvepar_lib |
| curvepar_lib | D.6.4 curvepar_lib |
| CurveParam | D.6.4.3 CurveParam |
| CurveRes | D.6.4.2 CurveRes |
| Curves | D.5.1 paraplanecurves_lib |
| custom assignment | 4.22.5 Assignments for user defined types |
| custom command | 4.22.4 Commands for user defined types |
| custom type | 4.22.1 Definition of a user defined type |
| Customization of the Emacs interface | 3.2.4 Customization of the Emacs interface |
| cycleLength | D.13.1.11 cycleLength |
| cyclePoints | D.13.1.15 cyclePoints |
| cyclic | D.2.6.1 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 |
|