|  | Index Entry | Section | 
|---|
| 
 | 
| D |  |  | 
|---|
|  | D-integration | 7.5.5 dmodapp_lib | 
|  | D-localization | 7.5.5 dmodapp_lib | 
|  | D-localization | 7.5.13 dmodloc_lib | 
|  | D-module | 7.5.2 bfun_lib | 
|  | D-module | 7.5.4 dmod_lib | 
|  | D-module | 7.5.5 dmodapp_lib | 
|  | D-module | 7.5.6 dmodideal_lib | 
|  | D-module | 7.5.7 dmodvar_lib | 
|  | D-module | 7.5.13 dmodloc_lib | 
|  | D-module | 7.5.22 purityfiltration_lib | 
|  | D-module structure | 7.5.4 dmod_lib | 
|  | D-module structure | 7.5.6 dmodideal_lib | 
|  | D-module structure | 7.5.7 dmodvar_lib | 
|  | D-restriction | 7.5.5 dmodapp_lib | 
|  | Data types | 4. Data types | 
|  | Data types (plural) | 7.2 Data types (plural) | 
|  | datetime | 5.1.16 datetime | 
|  | DBM links | 4.9.7 DBM links | 
|  | dbprint | 5.1.17 dbprint | 
|  | debug_log | D.6.3.13 debug_log | 
|  | debugger | 3.9.3 Source code debugger | 
|  | debugging library code | 3.9.3 Source code debugger | 
|  | Debugging tools | 3.9 Debugging tools | 
|  | debugLib, option | 5.1.110 option | 
|  | dec1var | D.4.16.7 dec1var | 
|  | decimal | D.12.3.1 decimal | 
|  | Decker, Wolfram | Acknowledgements | 
|  | Declaration of objects of a user defined type | 4.23.2 Declaration of objects of a user defined type | 
|  | decode | D.10.2.13 decode | 
|  | decodeCode | D.10.2.15 decodeCode | 
|  | decodegb.lib | D.10.2 decodegb_lib | 
|  | decodegb_lib | D.10.2 decodegb_lib | 
|  | decodeRandom | D.10.2.14 decodeRandom | 
|  | decodeRandomFL | D.10.2.18 decodeRandomFL | 
|  | decodeSV | D.10.1.9 decodeSV | 
|  | Decoding | D.10.2 decodegb_lib | 
|  | Decoding codes with Groebner bases | C.8 Decoding codes with Groebner bases | 
|  | Decoding method based on quadratic equations | C.8.5 Decoding method based on quadratic equations | 
|  | decoding, decoding problem | Decoding problem | 
|  | decoef | D.11.4.2 decoef | 
|  | decomposeVecField | D.15.36.8 decomposeVecField | 
|  | decomposition | D.15.12.8 difformCoef | 
|  | decomposition of modules | D.4.16 mprimdec_lib | 
|  | decomposition, numerical | D.5.2 numerDecom_lib | 
|  | decone | D.14.1.16 arrCone | 
|  | decone | D.14.1.17 arrDecone | 
|  | def | 4.4 def | 
|  | def declarations | 4.4.1 def declarations | 
|  | default argument | 3.7.2 Parameter list | 
|  | defined | 5.1.18 defined | 
|  | defineHomogeneous | D.15.25.45 defineHomogeneous | 
|  | Definition of a user defined type | 4.23.1 Definition of a user defined type | 
|  | defl | D.5.2.11 defl | 
|  | deform | D.6.15.2 deform | 
|  | deform.lib | D.6.7 deform_lib | 
|  | deform_lib | D.6.7 deform_lib | 
|  | Deformations | A.4.5 Deformations | 
|  | Deformations, T1 and T2 | A.4.4 T1 and T2 | 
|  | defRes, option | 5.1.110 option | 
|  | defring | D.2.11.4 defring | 
|  | defringp | D.2.11.6 defringp | 
|  | defrings | D.2.11.5 defrings | 
|  | deg | 5.1.19 deg | 
|  | Deg | D.15.23.19 Deg | 
|  | degBound | 5.3.1 degBound | 
|  | degree | 5.1.20 degree | 
|  | Degree | D.15.23.20 Degree | 
|  | degree | 6.4 Miscellaneous oddities | 
|  | degree | D.15.12.23 difformDeg | 
|  | degree | D.15.12.25 difformIsHomogDeg | 
|  | degree lexicographical ordering | B.2.3 Global orderings | 
|  | degree of a polynomial | 6.4 Miscellaneous oddities | 
|  | degree reverse lexicographical ordering | B.2.3 Global orderings | 
|  | degreeDivisor | D.15.13.8 degreeDivisor | 
|  | degreeFormalDivisor | D.15.13.16 degreeFormalDivisor | 
|  | degreepart | D.8.2.1 degreepart | 
|  | DegreePure | D.5.1.3 DegreePure | 
|  | Degrees | D.15.23.21 Degrees | 
|  | delete | 4.10.3 list operations | 
|  | delete | 5.1.21 delete | 
|  | delete | 5.1.71 kill | 
|  | deleteGenerator | 7.5.5.0. deleteGenerator | 
|  | deleteSublist | D.2.3.6 deleteSublist | 
|  | deligne number | D.15.10 curveInv_lib | 
|  | deligne number | D.15.10.3 curveDeligneNumber | 
|  | deligne number | D.15.10.4 curveColengthDerivations | 
|  | delta | D.6.11.12 delta | 
|  | Delta | D.5.8.11 Delta | 
|  | delta invariant | D.4.19.9 deltaLoc | 
|  | delta invariant | D.6.11.12 delta | 
|  | delta invariant | D.15.10.1 curveDeltaInv | 
|  | delta invariant. | D.4.19.1 normal | 
|  | delta invariant. | D.4.19.2 normalP | 
|  | delta invariant. | D.4.19.3 normalC | 
|  | DeltaList | D.5.8.12 DeltaList | 
|  | deltaLoc | D.4.19.9 deltaLoc | 
|  | Demo mode | 3.2.3 Demo mode | 
|  | denom_list | 5.1.153 system | 
|  | denominator | 5.1.22 denominator | 
|  | Depth | A.3.7 Depth | 
|  | depth | D.4.8.4 depth | 
|  | depthIdeal | D.4.17.2 depthIdeal | 
|  | deRham.lib | D.15.11 deRham_lib | 
|  | deRham_lib | D.15.11 deRham_lib | 
|  | deRhamCohom | 7.5.5.0. deRhamCohom | 
|  | deRhamCohomIdeal | 7.5.5.0. deRhamCohomIdeal | 
|  | deRhamCohomology | D.15.11.1 deRhamCohomology | 
|  | derivate | D.7.2.2 derivate | 
|  | derivation | D.14.1.30 arrDer | 
|  | derivation | D.15.12.28 difformUnivDer | 
|  | derivation | D.15.12.29 difformDiff | 
|  | derivation | D.15.12.30 derivationFromList | 
|  | derivation | D.15.12.31 derivationCheckList | 
|  | derivation | D.15.12.32 derivationFromPoly | 
|  | derivation | D.15.12.33 derivationConstructor | 
|  | derivation | D.15.12.42 derivationEval | 
|  | derivationAdd | D.15.12.36 derivationAdd | 
|  | derivationCheckList | D.15.12.31 derivationCheckList | 
|  | derivationConstructor | D.15.12.33 derivationConstructor | 
|  | derivationContraction | D.15.12.44 derivationContraction | 
|  | derivationContractionGen | D.15.12.43 derivationContractionGen | 
|  | derivationEqu | D.15.12.40 derivationEqu | 
|  | derivationEval | D.15.12.42 derivationEval | 
|  | derivationFromList | D.15.12.30 derivationFromList | 
|  | derivationFromPoly | D.15.12.32 derivationFromPoly | 
|  | derivationLie | D.15.12.45 derivationLie | 
|  | derivationMul | D.15.12.39 derivationMul | 
|  | derivationNeg | D.15.12.38 derivationNeg | 
|  | derivationNeq | D.15.12.41 derivationNeq | 
|  | derivationPrint | D.15.12.35 derivationPrint | 
|  | derivationSub | D.15.12.37 derivationSub | 
|  | derivationToString | D.15.12.34 derivationToString | 
|  | desingularization | D.15.19 GND_lib | 
|  | desingularization | D.15.19.1 desingularization | 
|  | det | 5.1.23 det | 
|  | det_B | D.3.2.10 det_B | 
|  | detadj | D.6.13.1 detadj | 
|  | determinacy | D.15.29.4 determinacy | 
|  | Determinacy | D.15.29.4 determinacy | 
|  | determinecenter | D.5.5.3 determinecenter | 
|  | detropicalise | D.13.4.29 detropicalise | 
|  | develop | D.6.11.2 develop | 
|  | Di Biase-Urbanke algorithm | C.6.2.4 The algorithm of Di Biase and Urbanke | 
|  | diag | D.3.1.3 diag | 
|  | diag_test | D.3.2.6 diag_test | 
|  | diagInvariants | D.4.20.8 diagInvariants | 
|  | diagonalizeMatrixSimul | D.15.36.9 diagonalizeMatrixSimul | 
|  | diagonalizeVecField | D.15.36.6 diagonalizeVecField | 
|  | diagonalizeVecFieldLin | D.15.36.4 diagonalizeVecFieldLin | 
|  | DifConsLCSets | D.2.4.25 DifConsLCSets | 
|  | diff | 5.1.24 diff | 
|  | diffAlgebra | D.15.12.1 diffAlgebra | 
|  | diffAlgebraChangeOrd | D.15.12.5 diffAlgebraChangeOrd | 
|  | diffAlgebraGens | D.15.12.3 diffAlgebraGens | 
|  | diffAlgebraListGen | D.15.12.6 diffAlgebraListGen | 
|  | diffAlgebraStructure | D.15.12.2 diffAlgebraStructure | 
|  | diffAlgebraUnivDerIdeal | D.15.12.4 diffAlgebraUnivDerIdeal | 
|  | difference | D.15.12.15 difformSub | 
|  | difference | D.15.12.37 derivationSub | 
|  | difference | D.15.12.38 derivationNeg | 
|  | differential | D.15.12.7 difformFromPoly | 
|  | differential | D.15.12.29 difformDiff | 
|  | differential algebra | D.15.12 difform_lib | 
|  | differential algebra | D.15.12.1 diffAlgebra | 
|  | differential algebra | D.15.12.2 diffAlgebraStructure | 
|  | differential algebra | D.15.12.3 diffAlgebraGens | 
|  | differential algebra | D.15.12.4 diffAlgebraUnivDerIdeal | 
|  | differential forms | D.15.12 difform_lib | 
|  | differential forms | D.15.12.1 diffAlgebra | 
|  | differentials | D.15.12 difform_lib | 
|  | differentials | D.15.12.1 diffAlgebra | 
|  | difform.lib | D.15.12 difform_lib | 
|  | difform_lib | D.15.12 difform_lib | 
|  | difformAdd | D.15.12.14 difformAdd | 
|  | difformCoef | D.15.12.8 difformCoef | 
|  | difformDeg | D.15.12.23 difformDeg | 
|  | difformDiff | D.15.12.29 difformDiff | 
|  | difformDiv | D.15.12.18 difformDiv | 
|  | difformEqu | D.15.12.19 difformEqu | 
|  | difformFromPoly | D.15.12.7 difformFromPoly | 
|  | difformGenToString | D.15.12.9 difformGenToString | 
|  | difformHomogDecomp | D.15.12.10 difformHomogDecomp | 
|  | difformIsBigger | D.15.12.21 difformIsBigger | 
|  | difformIsGen | D.15.12.13 difformIsGen | 
|  | difformIsHomog | D.15.12.24 difformIsHomog | 
|  | difformIsHomogDeg | D.15.12.25 difformIsHomogDeg | 
|  | difformIsSmaller | D.15.12.22 difformIsSmaller | 
|  | difformListCont | D.15.12.26 difformListCont | 
|  | difformListSort | D.15.12.27 difformListSort | 
|  | difformMul | D.15.12.17 difformMul | 
|  | difformNeg | D.15.12.16 difformNeg | 
|  | difformNeq | D.15.12.20 difformNeq | 
|  | difformPrint | D.15.12.12 difformPrint | 
|  | difformSub | D.15.12.15 difformSub | 
|  | difformToString | D.15.12.11 difformToString | 
|  | difformUnivDer | D.15.12.28 difformUnivDer | 
|  | diffRat | 7.5.13.0. diffRat | 
|  | difpoly2tex | D.11.4.3 difpoly2tex | 
|  | dim | 5.1.25 dim | 
|  | dim (plural) | 7.3.3 dim (plural) | 
|  | dim_slocus | D.6.15.3 dim_slocus | 
|  | dimension | D.13.1.16 dimension | 
|  | dimension, moduli space of stable maps, rational curves | D.15.33.25 dimStack | 
|  | dimensionOfLocalization | D.15.17.2 dimensionOfLocalization | 
|  | dimGradedPart | D.5.10.8 dimGradedPart | 
|  | dimH | D.5.10.7 dimH | 
|  | dimMon | D.4.15.14 dimMon | 
|  | dimStack | D.15.33.25 dimStack | 
|  | direct_boolean_poly | D.14.4.5 direct_boolean_poly | 
|  | direct_from_boolean_poly | D.14.4.11 direct_from_boolean_poly | 
|  | disc | D.12.2.3 disc | 
|  | discr | D.6.16.5 discr | 
|  | discrepancy | D.5.9.3 discrepancy | 
|  | discrim | D.2.4.17 discrim | 
|  | discussion of parametric ideal | D.2.4.1 grobcov | 
|  | disjoint | D.2.4.2 cgsdr | 
|  | disp_zdd | D.14.4.18 disp_zdd | 
|  | DISPLAY environment variable | 3.1.3 The online help system | 
|  | displayCohom | D.5.10.9 displayCohom | 
|  | displayHNE | D.6.11.5 displayHNE | 
|  | displayInvariants | D.6.11.7 displayInvariants | 
|  | displayMultsequence | D.6.11.9 displayMultsequence | 
|  | displayPuiseuxExpansion | D.13.4.4 displayPuiseuxExpansion | 
|  | displayTropicalLifting | D.13.4.2 displayTropicalLifting | 
|  | Distributed computing | D.2.6 modular_lib | 
|  | distributed computing | D.2.7 parallel_lib | 
|  | distributed computing | D.2.10 resources_lib | 
|  | distributed computing | D.2.12 tasks_lib | 
|  | div | 4.2.3 bigint operations | 
|  | div | 4.6.3 int operations | 
|  | div | 4.16.3 poly operations | 
|  | div | 6.4 Miscellaneous oddities | 
|  | dividelist | D.5.5.30 dividelist | 
|  | divideUnits | D.11.3.3 divideUnits | 
|  | division | 5.1.26 division | 
|  | division | D.2.4.3 pdivi | 
|  | division | D.2.4.4 pnormalf | 
|  | division | D.15.12.18 difformDiv | 
|  | division (plural) | 7.3.4 division (plural) | 
|  | divisor | D.12.4.6 divisor | 
|  | divisorplus | D.15.13.2 divisorplus | 
|  | divisors | D.15.13.1 makeDivisor | 
|  | divisors | D.15.13.2 divisorplus | 
|  | divisors | D.15.13.3 multdivisor | 
|  | divisors | D.15.13.4 negativedivisor | 
|  | divisors | D.15.13.5 normalForm | 
|  | divisors | D.15.13.6 isEqualDivisor | 
|  | divisors | D.15.13.7 globalSections | 
|  | divisors | D.15.13.8 degreeDivisor | 
|  | divisors | D.15.13.9 linearlyEquivalent | 
|  | divisors | D.15.13.10 effective | 
|  | divisors | D.15.13.11 makeFormalDivisor | 
|  | divisors | D.15.13.12 evaluateFormalDivisor | 
|  | divisors | D.15.13.13 formaldivisorplus | 
|  | divisors | D.15.13.14 negativeformaldivisor | 
|  | divisors | D.15.13.15 multformaldivisor | 
|  | divisors | D.15.13.16 degreeFormalDivisor | 
|  | divisors, polyhedra | D.15.13.17 makePDivisor | 
|  | divisors, polyhedra | D.15.13.18 evaluatePDivisor | 
|  | divisors, polyhedra | D.15.13.19 pdivisorplus | 
|  | divisors.lib | D.15.13 divisors_lib | 
|  | divisors_lib | D.15.13 divisors_lib | 
|  | DLoc | 7.5.5.0. DLoc | 
|  | DLoc0 | 7.5.5.0. DLoc0 | 
|  | Dlocalization | 7.5.13.0. Dlocalization | 
|  | dmod.lib | 7.5.4 dmod_lib | 
|  | dmod_lib | 7.5.4 dmod_lib | 
|  | dmodAction | 7.5.13.0. dmodAction | 
|  | dmodActionRat | 7.5.13.0. dmodActionRat | 
|  | dmodapp.lib | 7.5.5 dmodapp_lib | 
|  | dmodapp_lib | 7.5.5 dmodapp_lib | 
|  | dmodGeneralAssumptionCheck | 7.5.13.0. dmodGeneralAssumptionCheck | 
|  | dmodideal.lib | 7.5.6 dmodideal_lib | 
|  | dmodideal_lib | 7.5.6 dmodideal_lib | 
|  | dmodloc.lib | 7.5.13 dmodloc_lib | 
|  | dmodloc_lib | 7.5.13 dmodloc_lib | 
|  | dmodoublext | 7.5.15.0. dmodoublext | 
|  | dmodvar.lib | 7.5.7 dmodvar_lib | 
|  | dmodvar_lib | 7.5.7 dmodvar_lib | 
|  | Documentation Tool | 3.8.9 Documentation Tool | 
|  | double | D.12.4.11 double | 
|  | doubleExt | 7.5.22.0. doubleExt | 
|  | downloading | E.4 Download instructions | 
|  | Dp, global ordering | B.2.3 Global orderings | 
|  | dp, global ordering | B.2.3 Global orderings | 
|  | drawNewtonSubdivision | D.13.4.7 drawNewtonSubdivision | 
|  | drawTropicalCurve | D.13.4.6 drawTropicalCurve | 
|  | ds, local ordering | B.2.4 Local orderings | 
|  | Ds, local ordering | B.2.4 Local orderings | 
|  | DsingularLocus | 7.5.13.0. DsingularLocus | 
|  | dsum | D.3.1.4 dsum | 
|  | dual_code | D.10.1.11 dual_code | 
|  | dualCone | D.13.1.17 dualCone | 
|  | dualConic | D.13.4.31 dualConic | 
|  | dualPart | D.15.4.53 dualPart | 
|  | dualPartition | D.15.33.38 dualPartition | 
|  | dualPolytope | D.13.1.56 dualPolytope | 
|  | dualSheaf | D.15.33.16 dualSheaf | 
|  | dump | 5.1.27 dump | 
|  | dyckGroup1 | 7.10.2.23 dyckGroup1 | 
|  | dyckGroup2 | 7.10.2.24 dyckGroup2 | 
|  | dyckGroup3 | 7.10.2.25 dyckGroup3 | 
|  | dynamic geometry | D.2.4.10 locus | 
|  | dynamic geometry | D.2.4.11 locusdg | 
|  | Dynamic loading | 3.10 Dynamic loading | 
|  | Dynamic modules | A.1.9 Dynamic modules | 
| 
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