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Subindex: DefiningMap  ..    Degree




DefiningMap

   DefiningMap(L) : RngPad -> Map

   HasDefiningMap(L) : RngPad -> BoolElt, Map


DefiningPoints

   DefiningPoints(N) : NwtnPgon -> SeqEnum


DefiningPolynomial

   DefiningPolynomial(C) : Crv -> RngMPolElt

   DefiningPolynomial(E) : CrvEll -> RngMPolElt

   DefiningPolynomial(F) : FldAlg -> RngUPolElt

   DefiningPolynomial(F) : FldFin -> RngPolElt

   DefiningPolynomial(F, E) : FldFin -> RngPolElt

   DefiningPolynomial(F) : FldFun -> RngUPolElt

   DefiningPolynomial(Q) : FldRat -> RngUPolElt

   DefiningPolynomial(L) : RngPad -> RngUPolElt

   DefiningPolynomial(C) : Sch -> RngMPolElt

   DefiningPolynomial(C) : Sch -> RngMPolElt

   DefiningPolynomial(X) : Sch -> RngMPolElt

   DefiningPolynomial(K) : SrfKum -> RngMPolElt


DefiningPolynomials

   DefiningPolynomials(f) : MapSch -> SeqEnum

   DefiningPolynomials(X) : Sch -> SeqEnum


DefiningSubschemePolynomial

   DefiningSubschemePolynomial(G) : SchGrpEll -> RngUPolElt


Definite

   IsDefinite(A) : AlgQuat -> BoolElt

   IsNegativeDefinite(F) : ModMatRngElt -> BoolElt

   IsNegativeSemiDefinite(F) : ModMatRngElt -> BoolElt

   IsPositiveDefinite(F) : ModMatRngElt -> BoolElt

   IsPositiveSemiDefinite(F) : ModMatRngElt -> BoolElt

   PositiveDefiniteForm(G) : GrpMat -> AlgMatElt


definite

   Testing Matrices for Definiteness (LATTICES)


definition

   Creation of Finite Soluble Groups (FINITE SOLUBLE GROUPS)

   Definition of Elements (FINITE SOLUBLE GROUPS)

   Definition of Modules (MODULES OVER AFFINE ALGEBRAS)

   General Modules (INTRODUCTION TO MODULES [LINEAR ALGEBRA AND MODULE THEORY])

   Introduction (FINITE PLANES)

   Introduction (GRAPHS)

   Introduction (INCIDENCE STRUCTURES AND DESIGNS)

   Specification of Elements (POLYCYCLIC GROUPS)

   Terminology (MAGMA SEMANTICS)

   Terminology (PERMUTATION GROUPS)


deg

   Degree Functions for a Network (NETWORKS)


Degeneracy

   DegeneracyMap(M1, M2, d) : ModSym, ModSym, RngIntElt -> Map

   DegeneracyMatrix(M1, M2, d) : ModSym, ModSym, RngIntElt -> AlgMatElt


DegeneracyMap

   DegeneracyMap(M1, M2, d) : ModSym, ModSym, RngIntElt -> Map


DegeneracyMatrix

   DegeneracyMatrix(M1, M2, d) : ModSym, ModSym, RngIntElt -> AlgMatElt


Degenerate

   [Future release] IsDegenerate(N) : NwtnPgon -> BoolElt

   [Future release] IsDegenerate(F) : NwtnPgon,Tup -> BoolElt


Degree

   AbsoluteDegree(A) : FldAb -> RngIntElt

   AbsoluteDegree(F) : FldFun -> RngIntElt

   AbsoluteDegree(O) : RngOrd -> RngIntElt

   BlockDegree(D) : Dsgn -> RngIntElt

   BlockDegree(D, B) : Inc, IncBlk -> RngIntElt

   Degree(A, v) : AC, RngIntElt -> RngIntElt

   Degree(x) : AlgChtrElt -> RngIntElt

   Degree(A) : AlgGen -> RngIntElt

   Degree(a) : AlgGenElt -> RngIntElt

   Degree(L) : AlgLie -> RngIntElt

   Degree(a) : AlgLieElt -> RngIntElt

   Degree(R) : AlgMat -> RngIntElt

   Degree(Z) : Clstr -> RngIntElt

   Degree(C) : CrvHyp -> RngIntElt

   Degree(D) : DivCrvElt -> RngIntElt

   Degree(D) : DivFunElt -> RngIntElt

   Degree(A) : FldAb -> RngIntElt

   Degree(A) : FldAC -> RngIntElt

   Degree(F) : FldFin -> RngIntElt

   Degree(F, E) : FldFin, FldFin -> RngIntElt

   Degree(F) : FldFun -> RngIntElt

   Degree(a) : FldFunElt -> RngIntElt

   Degree(f) : FldFunRatElt -> RngIntElt

   Degree(Q) : FldRat -> RngIntElt

   Degree(s) : GrphSpl -> RngIntElt

   Degree(u) : GrphVert -> RngIntElt

   Degree(u) : GrphVert -> RngIntElt

   Degree(u) : GrphVert -> RngIntElt

   Degree(G) : GrpMat -> RngIntElt

   Degree(g) : GrpMatElt -> RngIntElt

   Degree(G, Y) : GrpPerm, GSet -> RngIntElt

   Degree(G) : GrpPermElt -> RngIntElt

   Degree(g) : GrpPermElt -> RngIntElt

   Degree(g, Y) : GrpPermElt, GSet -> RngIntElt

   Degree(L) : Lat -> RngIntElt

   Degree(L) : LinSys -> RngIntElt

   Degree(I) : Map -> RngIntElt

   Degree(m) : MapSch -> RngIntElt

   Degree(M) : ModBrdt -> RngIntElt

   Degree(M) : ModDed -> RngIntElt

   Degree(f) : ModFrmElt -> RngIntElt

   Degree(f) : ModMatCpxElt -> RngIntElt

   Degree(M) : ModMPol -> RngIntElt

   Degree(P) : ModSSElt -> RngElt

   Degree(V) : ModTupFld -> RngIntElt

   Degree(u) : ModTupFldElt -> RngIntElt

   Degree(P) : PlcFunElt -> RngIntElt

   Degree(I) : RngFunOrdIdl -> RngIntElt

   Degree(R) : RngGal -> RngIntElt

   Degree(I) : RngInt -> RngIntElt

   Degree(g,B) : RngIntElt,SeqEnum -> FldRatElt

   Degree(f, i) : RngMPolElt, RngIntElt -> RngIntElt

   Degree(f) : RngMSerElt -> RngIntElt

   Degree(O) : RngOrd -> RngIntElt

   Degree(I) : RngOrdIdl -> RngIntElt

   Degree(L) : RngPad -> RngIntElt

   Degree(K, L) : RngPad, RngPad -> RngIntElt

   Degree(p) : RngUPolElt -> RngIntElt

   Degree(C) : Sch -> RngIntElt

   Degree(X) : Sch -> RngIntElt

   Degree(e) : SubFldLatElt -> RngIntElt

   Degree(X) : VSrfK3 -> FldRatElt

   DegreeOfExactConstantField(m) : DivFunElt -> RngIntElt

   DegreeOfExactConstantField(m, U) : DivFunElt, GrpAb -> RngIntElt

   DegreeOfFieldExtension(G) : GrpMat -> RngIntElt

   DegreeOnePrimeIdeals(O, B) : RngOrd, RngIntElt -> [ RngOrdIdl ]

   DegreeReduction(G) : GrpPerm -> GrpPerm, Hom

   DegreeSequence(G) : Grph -> [ { GrphVert } ]

   DegreeSequence(u) : GrphNet ->  [  GrphVert  ]

   DimensionOfExactConstantField(F) : FldFun -> RngIntElt

   DistinctDegreeFactorization(f) : RngUPolElt -> [ <RngIntElt, RngUPolElt> ]

   DivisorOfDegreeOne(F) : FldFun -> DivFunElt

   EqualDegreeFactorization(f, d, g) : RngUPolElt, RngIntElt, RngUPolElt -> [ RngUPolElt ]

   FunctionDegree(f) : MapSch -> RngIntElt

   HasOddDegreeModel(C) : CrvHyp -> BoolElt, CrvHyp, MapIsoSch

   InDegree(u) : GrphVert -> RngIntElt

   InDegree(u) : GrphVert -> RngIntElt

   InertiaDegree(P) : PlcFunElt -> RngIntElt

   InertiaDegree(L) : RngPad -> RngIntElt

   InertiaDegree(K, L) : RngPad, RngPad -> RngIntElt

   InvariantsOfDegree(R, d) : RngInvar, RngIntElt -> [ RngMPolElt ]

   InvariantsOfDegree(R, d, k) : RngInvar, RngIntElt, RngIntElt -> [ RngMPolElt ]

   IsolGroupOfDegreeFieldSatisfying(d, p, f) : RngIntElt, RngIntElt, Predicate -> GrpMat

   IsolGroupOfDegreeSatisfying(d, f) : RngIntElt, Predicate -> GrpMat

   IsolGroupsOfDegreeFieldSatisfying(d, p, f) : RngIntElt, RngIntElt, Predicate -> SeqEnum

   IsolGroupsOfDegreeSatisfying(d, f) : RngIntElt, Predicate -> SeqEnum

   IsolNumberOfDegreeField(n, p) : RngIntElt, RngIntElt -> RngIntElt

   IsolProcessOfDegree(d) : . -> Process

   IsolProcessOfDegreeField(d, p) : ., . -> Process

   K3Degree(X) : GrphVert -> RngIntElt

   LeadingTotalDegree(f) : RngMPolElt -> RngIntElt

   LeadingWeightedDegree(f) : RngMPolElt -> RngIntElt

   MaximumDegree(G) : GrphDir -> RngIntElt, GrphVert

   MaximumDegree(N) : GrphNet -> RngIntElt, GrphVert

   MaximumDegree(G) : GrphUnd -> RngIntElt, GrphVert

   MaximumInDegree(G) : GrphDir -> RngIntElt, GrphVert

   MaximumInDegree(N) : GrphNet -> RngIntElt, GrphVert

   MaximumOutDegree(G) : GrphDir -> RngIntElt, GrphVert

   MaximumOutDegree(N) : GrphNet -> RngIntElt, GrphVert

   MinimumDegree(G) : GrphDir -> RngIntElt, GrphVert

   MinimumDegree(N) : GrphNet  -> RngIntElt, GrphVert

   MinimumDegree(G) : GrphUnd -> RngIntElt, GrphVert

   MinimumInDegree(G) : GrphDir -> RngIntElt, GrphVert

   MinimumInDegree(N) : GrphNet -> RngIntElt, GrphVert

   MinimumOutDegree(G) : GrphDir -> RngIntElt, GrphVert

   MinimumOutDegree(N) : GrphNet -> RngIntElt, GrphVert

   ModularDegree(M) : ModSym -> RngIntElt

   MonomialsOfDegree(P) : RngMPolElt -> {@ RngMPolElt @}

   MonomialsOfWeightedDegree(P) : RngMPolElt -> {@ RngMPolElt @}

   NumberOfPlacesOfDegreeOne(C) : Crv -> RngIntElt

   NumberOfPlacesOfDegreeOne(C, m) : Crv, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOne(m, U) : DivFunElt, GrpAb -> RngIntElt

   NumberOfPlacesOfDegreeOne(F) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOne(F, m) : FldFun, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOne(F, m) : FldFun, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOneBound(F) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOneBound(F, m) : FldFun, RngIntElt -> RngIntElt

   OutDegree(u) : GrphVert -> RngIntElt

   OutDegree(u) : GrphVert -> RngIntElt

   PointDegree(D, p) : Inc, IncPt -> RngIntElt

   PrintTermsOfDegree(s, l, n) : RngPowLazElt, RngIntElt, RngIntElt ->

   RamificationDegree(L) : RngPad -> RngIntElt

   RamificationDegree(K, L) : RngPad, RngPad -> RngIntElt

   RamificationIndex(P) : PlcFunElt -> RngIntElt

   RamificationIndex(I) : RngFunOrdIdl -> RngIntElt

   RamificationIndex(I) : RngOrdIdl -> RngIntElt

   SetAllInvariantsOfDegree(R, d, Q) : RngInvar, RngIntElt, [ RngMPolElt ] ->

   ShiftToDegreeZero(C) : ModCpx -> ModCpx

   TotalDegree(f) : FldFunRatElt -> RngIntElt

   TotalDegree(f) : RngMPolElt -> RngIntElt

   WeightedDegree(f) : FldFunRatElt -> RngIntElt

   WeightedDegree(f) : RngMPolElt -> RngIntElt




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