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Subindex: greatest  ..  Ground


greatest

   LCM(a, b) : RngQuadElt, RngQuadElt -> RngQuadElt
   LeastCommonMultiple(a, b) : RngQuadElt, RngQuadElt -> RngQuadElt
   Greatest Common Divisors (QUADRATIC FIELDS)

greatest-common-divisor

   LCM(a, b) : RngQuadElt, RngQuadElt -> RngQuadElt
   LeastCommonMultiple(a, b) : RngQuadElt, RngQuadElt -> RngQuadElt
   Greatest Common Divisors (QUADRATIC FIELDS)

GreatestCommonDivisor

   Gcd(D1, D2) : DivCrvElt, DivCrvElt -> DivCrvElt
   GreatestCommonDivisor(D1, D2) : DivCrvElt, DivCrvElt -> DivCrvElt
   GCD(D1, D2) : DivCrvElt, DivCrvElt -> DivCrvElt
   GCD(D1, D2) : DivFunElt, DivFunElt -> DivFunElt
   GCD(I, J) : RngOrdFracIdl, RngOrdFracIdl -> RngOrdFracIdl
   Gcd(a, b) : RngQuadElt, RngQuadElt -> RngQuadElt
   GreatestCommonDivisor(a, b) : RngIntResElt, RngIntResElt -> RngIntResElt
   GreatestCommonDivisor(f, g) : RngMPolElt, RngMPolElt -> RngMPolElt
   GreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
   GreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
   GreatestCommonDivisor(v, w) : RngValElt, RngValElt -> RngValElt
   GreatestCommonDivisor(s) : [RngIntElt] -> RngIntElt
   LeftGCD(u, v: parameters) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   LeftGCD(S: parameters) : Setq -> GrpBrdElt

GreatestCommonLeftDivisor

   GCLD(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt
   GreatestCommonLeftDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt

GreatestCommonRightDivisor

   GCRD(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt
   GreatestCommonRightDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt

Grevlex

   HasGrevlexOrder(I) : RngMPol -> BoolElt

grevlex

   Graded Reverse Lexicographical: grev-lex (GRÖBNER BASES)

grevlexw

   Graded Reverse Lexicographical (Weighted): grev-lexw (GRÖBNER BASES)

grey

   The Gray Map (LINEAR CODES OVER FINITE RINGS)

grey-map

   The Gray Map (LINEAR CODES OVER FINITE RINGS)

Griesmer

   GriesmerBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt
   GriesmerLengthBound(K, k, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt
   GriesmerMinimumWeightBound(K, n, k) : FldFin, RngIntElt, RngIntElt->RngIntElt

GriesmerBound

   GriesmerBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt

GriesmerLengthBound

   GriesmerLengthBound(K, k, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt

GriesmerMinimumWeightBound

   GriesmerMinimumWeightBound(K, n, k) : FldFin, RngIntElt, RngIntElt->RngIntElt

Groebner

   Groebner(M) : ModMPol ->
   Groebner(I: parameters) : AlgFr ->
   Groebner(I: parameters) : RngMPol ->
   GroebnerBasis(I: parameters) : AlgFr -> AlgFrElt
   GroebnerBasis(I: parameters) : RngMPol -> RngMPolElt
   GroebnerBasis(S, d: parameters) : [ AlgFr ], RngInt -> AlgFrElt
   GroebnerBasis(S: parameters) : [ AlgFrElt ] -> [ AlgFrElt ]
   GroebnerBasis(S, d: parameters) : [ RngMPol ], RngInt -> RngMPolElt
   GroebnerBasis(S: parameters) : [ RngMPolElt ] -> [ RngMPolElt ]
   GroebnerBasis(S, d : parameters) : [ RngMPolElt ], RngInt -> RngMPolElt
   GroebnerBasis(X) : Sch -> SeqEnum
   GroebnerBasisUnreduced(S: parameters) : [ RngMPolElt ] -> [ RngMPolElt ]
   HasGroebnerBasis(I) : RngMPol -> BoolElt
   HilbertGroebnerBasis(S, H) : [ RngMPolElt ], FldFunRatUElt -> BoolElt, [ RngMPolElt ]
   IsGroebner(S) : { RngMPolElt } -> BoolElt
   MarkGroebner(I) : AlgFr ->
   MarkGroebner(I) : RngMPol ->
   ReduceGroebnerBasis(S) : [ RngMPolElt ] -> [ RngMPolElt ]

groebner

   GRÖBNER BASES
   Gröbner Bases (FINITELY PRESENTED ALGEBRAS)
   Gröbner Bases (GRÖBNER BASES)
   Hilbert-driven Gröbner Basis Construction (GRÖBNER BASES)
   Standard Bases (LOCAL POLYNOMIAL RINGS)

GroebnerBasis

   GroebnerBasis(I: parameters) : AlgFr -> AlgFrElt
   GroebnerBasis(I: parameters) : RngMPol -> RngMPolElt
   GroebnerBasis(S, d: parameters) : [ AlgFr ], RngInt -> AlgFrElt
   GroebnerBasis(S: parameters) : [ AlgFrElt ] -> [ AlgFrElt ]
   GroebnerBasis(S, d: parameters) : [ RngMPol ], RngInt -> RngMPolElt
   GroebnerBasis(S: parameters) : [ RngMPolElt ] -> [ RngMPolElt ]
   GroebnerBasis(S, d : parameters) : [ RngMPolElt ], RngInt -> RngMPolElt
   GroebnerBasis(X) : Sch -> SeqEnum

GroebnerBasisUnreduced

   GroebnerBasisUnreduced(S: parameters) : [ RngMPolElt ] -> [ RngMPolElt ]

gross

   Hecke Grössencharacters and their L-functions (NUMBER FIELDS)

Grossen

   GrossenTwist(Y, D) : GrossenChar, List -> GrossenChar

grossen-char-cyclo5

   FldNum_grossen-char-cyclo5 (Example H34E24)

grossen-cyclo8

   FldNum_grossen-cyclo8 (Example H34E27)

grossen-large-gamma

   FldNum_grossen-large-gamma (Example H34E26)

grossenchar-embedding

   FldNum_grossenchar-embedding (Example H34E25)

grossenchar-gaussian

   FldNum_grossenchar-gaussian (Example H34E21)

grossenchar-sqrt23

   FldNum_grossenchar-sqrt23 (Example H34E22)

grossenchar-symcubed-sqrt59

   FldNum_grossenchar-symcubed-sqrt59 (Example H34E23)

Grossencharacter

   Modulus(psi) : GrossenChar -> RngOrdIdl, SeqEnum
   IsPrimitive(psi) : GrossenChar -> BoolElt
   AssociatedPrimitiveGrossencharacter(psi) : GrossenChar -> GrossenChar
   Conductor(psi) : GrossenChar -> RngOrdIdl, SeqEnum
   Grossencharacter(psi, chi, T) : GrpHeckeElt, GrpDrchNFElt, SeqEnum -> GrossenChar
   Grossencharacter(psi, T) : GrpHeckeElt, SeqEnum -> GrossenChar

GrossenTwist

   GrossenTwist(Y, D) : GrossenChar, List -> GrossenChar

Grotzch

   Graph_Grotzch (Example H149E11)

Ground

   BaseField(F) : FldAlg -> Fld
   CoefficientField(F) : FldAlg -> Fld
   CoefficientRing(F) : FldAlg -> Fld
   GroundField(F) : FldAlg -> Fld
   GroundField(F) : FldFin -> FldFin
   GroundField(F) : FldNum -> Fld

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013