|  | Index Entry | Section | 
|---|
| 
 | 
| Q |  |  | 
|---|
|  | qbase | D.12.7.15 qbase | 
|  | qepcad | D.15.15.22 qepcad | 
|  | qepcadsystem | D.15.15.23 qepcadsystem | 
|  | qhmatrix | D.6.16.6 qhmatrix | 
|  | qhmoduli.lib | D.6.14 qhmoduli_lib | 
|  | qhmoduli_lib | D.6.14 qhmoduli_lib | 
|  | qhspectrum | D.6.15.13 qhspectrum | 
|  | qhweight | 5.1.122 qhweight | 
|  | qmatrix.lib | 7.5.23 qmatrix_lib | 
|  | qmatrix_lib | 7.5.23 qmatrix_lib | 
|  | qminor | 7.5.23.0. qminor | 
|  | QQ | 3.3 Rings and orderings | 
|  | QQ | 4.1.2 cring expressions | 
|  | qrds | 5.1.123 qrds | 
|  | qring | 4.19.1 qring | 
|  | qring | 6.4 Miscellaneous oddities | 
|  | qring (plural) | 7.2.5 qring (plural) | 
|  | qring declaration | 4.19.5 qring declaration | 
|  | qring declaration (plural) | 7.2.5.1 qring declaration (plural) | 
|  | qring related functions (plural) | 7.2.5.2 qring related functions (plural) | 
|  | qring ring ideal 'factor ring' | D.2.11.23 isQuotientRing | 
|  | qringNF, option | 5.1.110 option | 
|  | qslimgb | D.1.1 qslimgb | 
|  | Qso3Casimir | 7.5.10.0. Qso3Casimir | 
|  | quadraticSieve | D.12.3.21 quadraticSieve | 
|  | quantMat | 7.5.23.0. quantMat | 
|  | quickclass | D.6.3.9 quickclass | 
|  | quit | 5.2.13 quit | 
|  | Quot-scheme | D.15.16 goettsche_lib | 
|  | quote | 5.1.124 quote | 
|  | Quotient | D.8.6.1 Quotient | 
|  | quotient | 5.1.125 quotient | 
|  | quotient (plural) | 7.3.22 quotient (plural) | 
|  | QuotientEquations | D.6.14.3 QuotientEquations | 
|  | quotientLatticeBasis | D.13.1.34 quotientLatticeBasis | 
|  | quotientMain | D.8.6.9 quotientMain | 
|  | quotientMon | D.4.15.7 quotientMon | 
|  | quotSheaf | D.15.33.19 quotSheaf | 
| 
 | 
| R |  |  | 
|---|
|  | rad_con | D.2.8.13 rad_con | 
|  | radical | D.4.22.12 radical | 
|  | radicalEHV | D.4.22.13 radicalEHV | 
|  | radicalMemberShip | D.13.4.25 radicalMemberShip | 
|  | radicalMon | D.4.15.8 radicalMon | 
|  | radicalZ | D.4.23.4 radicalZ | 
|  | randcharpoly | D.12.7.9 randcharpoly | 
|  | randlinpoly | D.12.7.11 randlinpoly | 
|  | random | 5.1.126 random | 
|  | random | 5.1.153 system | 
|  | random | D.14.1.26 arrRandom | 
|  | random | D.14.1.27 arrRandomCentral | 
|  | random number generator, seed | 5.1.153 system | 
|  | random.lib | D.2.9 random_lib | 
|  | random_lib | D.2.9 random_lib | 
|  | randomBinomial | D.2.9.12 randomBinomial | 
|  | randomCheck | D.10.2.10 randomCheck | 
|  | randomid | D.2.9.2 randomid | 
|  | randomLast | D.2.9.11 randomLast | 
|  | randommat | D.2.9.3 randommat | 
|  | randomPoint | D.13.1.35 randomPoint | 
|  | randomPolyInT | D.13.4.34 randomPolyInT | 
|  | rank | 5.1.2 attrib | 
|  | rank | 5.1.127 rank | 
|  | rankSheaf | D.15.33.11 rankSheaf | 
|  | ratgb.lib | 7.5.24 ratgb_lib | 
|  | ratgb_lib | 7.5.24 ratgb_lib | 
|  | Rational curves | D.5.4 paraplanecurves_lib | 
|  | rational curves, rational parametrization of rational curves. | D.5.4.3 paraPlaneCurve | 
|  | rational functions | 7.10.6 ncrat_lib | 
|  | rational normal curve, projection. | D.5.4.4 rncAntiCanonicalMap | 
|  | rational normal curve, projection. | D.5.4.7 rncItProjOdd | 
|  | rational normal curve, projection. | D.5.4.8 rncItProjEven | 
|  | rational solutions | 7.5.13 dmodloc_lib | 
|  | rational univariate projection | D.12.7.9 randcharpoly | 
|  | rationalCurve | D.15.33.31 rationalCurve | 
|  | rationalPointConic | D.5.4.5 rationalPointConic | 
|  | ratSol | 7.5.13.0. ratSol | 
|  | ratstd | 7.5.24.0. ratstd | 
|  | rays | D.13.1.36 rays | 
|  | rcolon | 7.10.5.2 rcolon | 
|  | re2squ | D.5.2.1 re2squ | 
|  | read | 5.1.128 read | 
|  | reading, option | 5.1.110 option | 
|  | readline | 1. Preface | 
|  | readNmzData | D.4.20.18 readNmzData | 
|  | real | 3.3 Rings and orderings | 
|  | real root isolation | D.15.30 rootisolation_lib | 
|  | real roots, univariate polynomial | D.12.8 rootsur_lib | 
|  | real roots, univariate projection | D.12.7 rootsmr_lib | 
|  | real roots,sign conditions | D.8.7 signcond_lib | 
|  | realclassify | D.15.29.1 realclassify | 
|  | realclassify.lib | D.15.29 realclassify_lib | 
|  | realclassify_lib | D.15.29 realclassify_lib | 
|  | realizationDim | D.13.3.1 realizationDim | 
|  | realizationDimPoly | D.13.3.3 realizationDimPoly | 
|  | realizationMatroids.lib | D.13.3 realizationMatroids_lib | 
|  | realizationMatroids_lib | D.13.3 realizationMatroids_lib | 
|  | realmorsesplit | D.15.29.2 realmorsesplit | 
|  | realpoly | D.4.25.1 realpoly | 
|  | realrad | D.4.25.3 realrad | 
|  | realrad.lib | D.4.25 realrad_lib | 
|  | realrad_lib | D.4.25 realrad_lib | 
|  | realzero | D.4.25.2 realzero | 
|  | recursive_boolean_poly | D.14.4.6 recursive_boolean_poly | 
|  | recursive_from_boolean_poly | D.14.4.12 recursive_from_boolean_poly | 
|  | redefine, option | 5.1.110 option | 
|  | redSB, option | 5.1.110 option | 
|  | redTail, option | 5.1.110 option | 
|  | redThrough, option | 5.1.110 option | 
|  | reduce | 5.1.129 reduce | 
|  | reduce | 7.5.3 central_lib | 
|  | reduce | D.2.4.3 pdivi | 
|  | reduce | D.2.4.4 pnormalf | 
|  | reduce (letterplace) | 7.8.5 reduce (letterplace) | 
|  | reduce (plural) | 7.3.23 reduce (plural) | 
|  | reduce (up to a bound) | 5.1.153 system | 
|  | reduced | D.2.4.2 cgsdr | 
|  | reduced standard basis | 5.1.110 option | 
|  | reduceIntChain | D.15.23.48 reduceIntChain | 
|  | reduction | D.7.2.4 reduction | 
|  | ReesAlgebra | D.4.26.1 ReesAlgebra | 
|  | reesclos.lib | D.4.26 reesclos_lib | 
|  | reesclos_lib | D.4.26 reesclos_lib | 
|  | reference | 4.28 reference and shared (experimental) | 
|  | reference declarations | 4.28.1 reference declarations | 
|  | reference expressions | 4.28.2 reference expressions | 
|  | reference operations | 4.28.5 reference and shared operations | 
|  | reference related functions | 4.28.6 reference and shared related functions | 
|  | References | C.9 References | 
|  | References (plural) | 7.4.4 References (plural) | 
|  | References and history of Letterplace | 7.7.4 References and history of LETTERPLACE | 
|  | regCM | D.4.18.7 regCM | 
|  | regIdeal | D.4.17.1 regIdeal | 
|  | regMonCurve | D.4.17.4 regMonCurve | 
|  | regularity | 5.1.130 regularity | 
|  | regularity | Betti numbers and regularity | 
|  | regularity | D.4.18.7 regCM | 
|  | regularity | D.4.18.8 modregCM | 
|  | reiffen | 7.5.4.0. reiffen | 
|  | ReJunkUseHomo | D.5.2.5 ReJunkUseHomo | 
|  | rel_orbit_variety | D.7.1.34 rel_orbit_variety | 
|  | relations | 7.5.21 perron_lib | 
|  | relative_orbit_variety | D.7.1.35 relative_orbit_variety | 
|  | relativeInteriorPoint | D.13.1.37 relativeInteriorPoint | 
|  | Release Notes | E. Release Notes | 
|  | Release Notes (letterplace) | 7.11 Release Notes (letterplace) | 
|  | relweight | D.6.16.7 relweight | 
|  | remainder | D.8.6.2 remainder | 
|  | remainderMain | D.8.6.10 remainderMain | 
|  | removeCone | D.13.1.55 removeCone | 
|  | removepower | D.6.2.2 removepower | 
|  | repart | 5.1.131 repart | 
|  | replace | D.11.4.8 replace | 
|  | representation, math objects | B.1 Representation of mathematical objects | 
|  | Res | D.15.23.15 Res | 
|  | res | 5.1.132 res | 
|  | resbinomial.lib | D.5.5 resbinomial_lib | 
|  | resbinomial_lib | D.5.5 resbinomial_lib | 
|  | reservedName | 5.1.133 reservedName | 
|  | resfunction | D.5.5.14 resfunction | 
|  | resgraph.lib | D.5.6 resgraph_lib | 
|  | resgraph_lib | D.5.6 resgraph_lib | 
|  | resjung.lib | D.5.7 resjung_lib | 
|  | resjung_lib | D.5.7 resjung_lib | 
|  | reslist | D.5.5.28 reslist | 
|  | Resolution | 2.3.6 Resolution | 
|  | resolution | 4.18 resolution | 
|  | resolution | 7.5.22 purityfiltration_lib | 
|  | resolution (plural) | 7.2.6 resolution (plural) | 
|  | resolution declarations | 4.18.1 resolution declarations | 
|  | resolution declarations (plural) | 7.2.6.1 resolution declarations (plural) | 
|  | resolution expressions | 4.18.2 resolution expressions | 
|  | resolution expressions (plural) | 7.2.6.2 resolution expressions (plural) | 
|  | resolution graph | D.6.1 alexpoly_lib | 
|  | Resolution of singularities | A.4.9 Resolution of singularities | 
|  | resolution related functions | 4.18.3 resolution related functions | 
|  | resolution related functions (plural) | 7.2.6.3 resolution related functions (plural) | 
|  | resolution, computation of | 5.1.132 res | 
|  | Resolution, free | A.3.4 Free resolution | 
|  | resolution, hilbert-driven | 5.1.58 hres | 
|  | resolution, La Scala's method | 5.1.83 lres | 
|  | resolutiongraph | D.6.1.1 resolutiongraph | 
|  | resolutionInLocalization | D.15.17.6 resolutionInLocalization | 
|  | resolve | D.5.8.4 resolve | 
|  | resolve.lib | D.5.8 resolve_lib | 
|  | resolve_lib | D.5.8 resolve_lib | 
|  | resources.lib | D.2.10 resources_lib | 
|  | resources_lib | D.2.10 resources_lib | 
|  | ResTree | D.5.6.2 ResTree | 
|  | restriction | D.14.1.19 arrRestrict | 
|  | restriction | D.14.1.35 multarrRestrict | 
|  | restriction | D.14.1.36 multarrMultRestrict | 
|  | restriction of | 7.5.5 dmodapp_lib | 
|  | restrictionIdeal | 7.5.5.0. restrictionIdeal | 
|  | restrictionModule | 7.5.5.0. restrictionModule | 
|  | resultant | 5.1.97 mpresmat | 
|  | resultant | 5.1.134 resultant | 
|  | reszeta.lib | D.5.9 reszeta_lib | 
|  | reszeta_lib | D.5.9 reszeta_lib | 
|  | return | 5.2.14 return | 
|  | return type of procedures | 6.3.7 Return type of procedures | 
|  | returnSB, option | 5.1.110 option | 
|  | reverse | D.12.8.14 reverse | 
|  | reverse lexicographical ordering | B.2.3 Global orderings | 
|  | reynolds_molien | D.7.1.10 reynolds_molien | 
|  | ReynoldsImage | D.7.3.12 ReynoldsImage | 
|  | ReynoldsOperator | D.7.3.13 ReynoldsOperator | 
|  | rho | D.12.3.15 rho | 
|  | rHRR | D.15.4.49 rHRR | 
|  | RiemannRochBN | D.15.3.1 RiemannRochBN | 
|  | RiemannRochHess | D.15.21.1 RiemannRochHess | 
|  | Right Groebner bases and syzygies | A.7.2 Right Groebner bases and syzygies | 
|  | Right ideal membership (plural) | Right ideal membership (plural) | 
|  | rightInverse | D.11.2.8 rightInverse | 
|  | rightKernel | D.11.2.6 rightKernel | 
|  | rightModulo | 7.5.19.0. rightModulo | 
|  | rightNF | 7.5.19.0. rightNF | 
|  | rightNFWeyl | 7.5.13.0. rightNFWeyl | 
|  | rightOre | 7.5.20.0. rightOre | 
|  | rightStd | 7.5.19.0. rightStd | 
|  | rightstd (letterplace) | 7.8.6 rightstd (letterplace) | 
|  | ring | 4.19 ring | 
|  | ring (plural) | 7.2.7 ring (plural) | 
|  | ring coefficients | D.2.11.21 hasAlgExtensionCoefficient | 
|  | ring coefficients | D.2.11.22 hasTransExtensionCoefficient | 
|  | ring declarations | 4.19.2 ring declarations | 
|  | ring declarations (plural) | 7.2.7.1 ring declarations (plural) | 
|  | ring operations | 4.19.4 ring operations | 
|  | ring operations (plural) | 7.2.7.2 ring operations (plural) | 
|  | ring related functions | 4.19.3 ring related functions | 
|  | ring related functions (plural) | 7.2.7.3 ring related functions (plural) | 
|  | ring theory | 7.10.3 fpaprops_lib | 
|  | ring, opposite | 5.1.153 system | 
|  | Ring-dependent options | Ring-dependent options | 
|  | ring.lib | D.2.11 ring_lib | 
|  | ring_cf | 5.1.2 attrib | 
|  | ring_lib | D.2.11 ring_lib | 
|  | ring_list | 5.1.136 ring_list | 
|  | ring_variable | D.14.1.6 varMat | 
|  | ring_variable | D.14.1.7 varNum | 
|  | ring_variable | D.14.1.8 arrSwapVar | 
|  | ring_variable | D.14.1.9 arrLastVar | 
|  | ringlist | 5.1.135 ringlist | 
|  | ringlist (plural) | 7.3.24 ringlist (plural) | 
|  | Rings and orderings | 3.3 Rings and orderings | 
|  | Rings and standard bases | 2.3.2 Rings and standard bases | 
|  | ringtensor | D.2.11.12 ringtensor | 
|  | ringweights | D.2.11.13 ringweights | 
|  | rinvar.lib | D.7.3 rinvar_lib | 
|  | rinvar_lib | D.7.3 rinvar_lib | 
|  | rJanet | D.15.31.3 rJanet | 
|  | rm_unitcol | D.3.1.26 rm_unitcol | 
|  | rm_unitrow | D.3.1.25 rm_unitrow | 
|  | rMacaulay | D.2.5.4 rMacaulay | 
|  | rmNmzFiles | D.4.20.23 rmNmzFiles | 
|  | rmx | D.9.2.12 rmx | 
|  | rncAntiCanonicalMap | D.5.4.4 rncAntiCanonicalMap | 
|  | rncItProjEven | D.5.4.8 rncItProjEven | 
|  | rncItProjOdd | D.5.4.7 rncItProjOdd | 
|  | root of Bernstein-Sato polynomial | 7.5.4 dmod_lib | 
|  | rootIsolation | D.15.30.11 rootIsolation | 
|  | rootisolation.lib | D.15.30 rootisolation_lib | 
|  | rootisolation_lib | D.15.30 rootisolation_lib | 
|  | rootIsolationNoPreprocessing | D.15.30.10 rootIsolationNoPreprocessing | 
|  | rootIsolationPrimdec | D.15.30.12 rootIsolationPrimdec | 
|  | rootofUnity | D.2.11.15 rootofUnity | 
|  | roots | D.8.6.3 roots | 
|  | rootsMain | D.8.6.11 rootsMain | 
|  | rootsModp | D.12.2.12 rootsModp | 
|  | rootsmr.lib | D.12.7 rootsmr_lib | 
|  | rootsmr_lib | D.12.7 rootsmr_lib | 
|  | rootsur.lib | D.12.8 rootsur_lib | 
|  | rootsur_lib | D.12.8 rootsur_lib | 
|  | round | D.12.2.10 round | 
|  | rowred | D.3.1.22 rowred | 
|  | rowShift | 5.1.2 attrib | 
|  | rowShift | 5.1.4 betti | 
|  | rp, global ordering | B.2.3 Global orderings | 
|  | rstandard.lib | D.15.31 rstandard_lib | 
|  | rstandard_lib | D.15.31 rstandard_lib | 
|  | rswalk | D.15.34.2 rswalk | 
|  | rtimer | 5.3.10 rtimer | 
|  | Running SINGULAR under Emacs | 3.2.2 Running SINGULAR under Emacs | 
|  | rvalue | 6.3.1 No rvalue of increments and assignments | 
|  | rvar | 5.1.137 rvar | 
|  | rwalk | D.15.32.2 rwalk | 
|  | rwalk.lib | D.15.32 rwalk_lib | 
|  | rwalk_lib | D.15.32 rwalk_lib | 
| 
 |