[____] [____] [_____] [____] [__] [Index] [Root]
Subindex: Feet .. Field
UnitalFeet(P, U, p) : Plane, { PlanePt }, PlanePt -> { PlanePt }
Creation of Differentials (ALGEBRAIC CURVES)
Differentials (ALGEBRAIC CURVES)
Function Fields (ALGEBRAIC CURVES)
MATRIX GROUPS OVER FINITE FIELDS
Operations on Differentials (ALGEBRAIC CURVES)
Places (ALGEBRAIC CURVES)
Places (ALGEBRAIC CURVES)
Sets of Places (ALGEBRAIC CURVES)
Crv_ff-creation-example (Example H98E18)
Differentials (ALGEBRAIC CURVES)
Operations on Differentials (ALGEBRAIC CURVES)
Creation of Differentials (ALGEBRAIC CURVES)
Crv_ff-elements-example (Example H98E19)
ZetaFunction(C) : Crv[FldFin] -> FldFunRatUElt
Function Fields (ALGEBRAIC CURVES)
Places (ALGEBRAIC CURVES)
Places (ALGEBRAIC CURVES)
Sets of Places (ALGEBRAIC CURVES)
Cryptographic Elliptic Curve Domains (ELLIPTIC CURVES OVER FINITE FIELDS)
Enumeration of Points (ELLIPTIC CURVES OVER FINITE FIELDS)
Point Counting (ELLIPTIC CURVES OVER FINITE FIELDS)
Supersingular Curves (ELLIPTIC CURVES OVER FINITE FIELDS)
The Order of the Group of Points (ELLIPTIC CURVES OVER FINITE FIELDS)
Zeta Functions (ELLIPTIC CURVES OVER FINITE FIELDS)
Cryptographic Elliptic Curve Domains (ELLIPTIC CURVES OVER FINITE FIELDS)
The Order of the Group of Points (ELLIPTIC CURVES OVER FINITE FIELDS)
Point Counting (ELLIPTIC CURVES OVER FINITE FIELDS)
Enumeration of Points (ELLIPTIC CURVES OVER FINITE FIELDS)
Supersingular Curves (ELLIPTIC CURVES OVER FINITE FIELDS)
Zeta Functions (ELLIPTIC CURVES OVER FINITE FIELDS)
Field Morphisms (ALGEBRAIC FUNCTION FIELDS)
FrobeniusActionOnReducibleFiber(L) : < Tup > -> AlgMatElt
Fibonacci(n) : RngIntElt -> RngIntElt
Fibonacci(n) : RngIntElt -> RngIntElt
GeneralizedFibonacciNumber(g0, g1, n) : RngIntElt, RngIntElt, RngIntElt -> RngIntElt
GeneralizedFibonacciNumber(g0, g1, n) : RngIntElt, RngIntElt, RngIntElt -> RngIntElt
RationalPointsByFibration(X) : Sch -> SetIndx
HasIrregularFibres(s) : GrphSpl -> BoolElt
AbsoluteField(F) : FldAlg -> FldAlg
AbsoluteModuleOverMinimalField(M, F) : ModGrp, FldFin -> ModGrp
AbsoluteModulesOverMinimalField(Q, F) : [ ModGrp ], FldFin -> [ ModGrp ]
AlgorithmicFunctionField(F) : FldFunFracSch -> FldFun, Map
Alphabet(C) : Code -> Rng
Alphabet(C) : Code -> Rng
BaseField(A) : AlgQuat -> Fld
BaseField(A) : FldAC -> Fld
BaseField(Q) : FldRat -> FldRat
BaseField(A) : JacHyp -> Fld
BaseField(J) : JacHyp -> Fld
BaseField(R) : RngDiff -> Rng
BaseField(R) : RootSys -> Fld
BaseField(C) : Sch -> Fld
BaseField(X) : Sch -> Fld
BaseField(K) : SrfKum -> Fld
BaseRing(F) : FldFun -> Rng
BaseRing(FF) : FldFunOrd -> Rng
BaseRing(L) : RngPad -> RngPad
BaseRing(W) : RngWitt -> Fld
BaseRing(C) : Sch -> Rng
ClassField(m, G) : Map, GrpAb -> FldAb
CoefficientField(x) : AlgChtrElt -> Rng
CoefficientField(C) : Code -> Rng
CoefficientField(V) : ModTupFld -> Fld
CoefficientRing(R) : RngInvar -> Grp
CoeffientField(A) : FldAb -> Field
ComplexField() : -> FldCom
ComplexField(R) : FldRe -> FldCom
ComplexField(p) : RngIntElt -> FldCom
ConstantField(F) : FldFun -> Rng
ConstantField(R) : RngDiff -> Rng
ConstantFieldExtension(F, E) : FldFun, Rng -> FldFun, Map
ConstantFieldExtension(F, C) : RngDiff, Fld -> RngDiff, Map
ConstantFieldExtension(R, C) : RngDiffOp,Fld -> RngDiffOp, Map
CyclotomicField(m) : RngIntElt -> FldCyc
CyclotomicRelativeField(k, K) : FldCyc, FldCyc -> FldNum
DecompositionField(p, A) : PlcNumElt, FldAb -> FldAb
DecompositionField(p) : RngOrdIdl -> FldNum, Map
DecompositionField(p, A) : RngOrdIdl, FldAb -> FldAb
DegreeOfExactConstantField(m) : DivFunElt -> RngIntElt
DegreeOfExactConstantField(m, U) : DivFunElt, GrpAb -> RngIntElt
DegreeOfFieldExtension(G) : GrpMat -> RngIntElt
DifferentialFieldExtension(L) : RngDiffOpElt, -> RngDiff
DimensionOfExactConstantField(F) : FldFun -> RngIntElt
DimensionOfFieldOfGeometricIrreducibility(C): Crv -> RngIntElt
ExactConstantField(F) : FldFunG -> Rng, Map
ExactConstantField(F) : RngDiff -> RngDiff, Map
ExponentialFieldExtension(F, f) : RngDiff, RngDiffElt -> RngDiff
ExtendField(C, L) : Code, FldFin -> Code, Map
ExtendField(G, L) : GrpMat, FldFin -> GrpMat, Map
ExtendField(V, L) : ModTupFld, Fld -> ModTupFld, MapHom
ExtensionField<F, x | P> : FldFin, ... -> FldFin, Map
FactorizationOverSplittingField(f) : RngUPolElt[FldFin] -> [<RngUPolElt, RngIntElt>], FldFin
Field(H) : HilbSpc -> FldCom
Field(P) : Plane -> FldFin
FieldAutomorphism(G, sigma) : GrpLie, Map -> Map
FieldMorphism(f) : Map -> Map
FieldOfDefinition(H) : HomModAbVar -> ModAbVar
FieldOfDefinition(phi) : MapModAbVar -> ModAbVar
FieldOfDefinition(A) : ModAbVar -> Fld
FieldOfDefinition(x) : ModAbVarElt -> ModTupFldElt
FieldOfDefinition(G) : ModAbVarSubGrp -> Fld
FieldOfFractions(Q) : FldRat -> FldRat
FieldOfFractions(R) : RngDiff -> RngDiff, Map
FieldOfFractions(O) : RngFunOrd -> FldFunOrd
FieldOfFractions(Z) : RngInt -> FldRat
FieldOfFractions(O) : RngOrd -> FldOrd
FieldOfFractions(R) : RngPad -> FldPad
FieldOfFractions(E) : RngSerExt -> RngSerExt
FieldOfFractions(P) : RngUPol -> FldFunRat
FieldOfFractions(V) : RngVal -> Rng
FieldOfGeometricIrreducibility(C) : Crv -> Rng, Map
FiniteField(q) : RngIntElt -> FldFin
FiniteField(p, n) : RngIntElt, RngIntElt -> FldFin
FixedField(K, U) : FldAlg, GrpPerm -> FldNum, Map
FixedField(K, S) : FldAlg, [Map] -> FldNum, Map
FunctionField(A) : Aff -> FldFunFracSch
FunctionField(C) : Crv -> FldFunFracSch
FunctionField(X) : CrvMod -> FldFun
FunctionField(D) : DiffFun -> FldFun
FunctionField(d) : DiffFunElt -> FldFun
FunctionField(G) : DivFun -> FldFun
FunctionField(D) : DivFunElt -> FldFun
FunctionField(f : parameters) : RngMPolElt -> FldFun
FunctionField(S) : PlcFun -> FldFun
FunctionField(P) : PlcFunElt -> FldFun
FunctionField(R) : Rng -> FldFunG
FunctionField(R) : Rng -> FldFunRat
FunctionField(R, r) : Rng, RngIntElt -> FldFunRat
FunctionField(O) : RngFunOrd -> FldFun
FunctionField(e) : RngWittElt -> FldFun, Map
FunctionField(A) : Sch -> FldFunFracSch
FunctionField(C) : Sch -> FldFunG
FunctionField(S) : [RngUPolElt] -> FldFun
FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt
GHomOverCentralizingField(M, N) : ModGrp, ModGrp -> ModMatGrp
GenusField(A): FldAb -> FldAb
GetDefaultRealField() : -> FldRe
GroundField(F) : FldAlg -> Fld
GroundField(F) : FldFin -> FldFin
HeckeEigenvalueField(M) : ModSym -> Fld, Map
HermitianFunctionField(p, d) : RngIntElt, RngIntElt -> FldFun
HilbertClassField(K) : FldAlg -> FldAb
ISABaseField(F,G) : Fld, Fld -> BoolElt
IdentityFieldMorphism(F) : Fld -> Map
InertiaField(p) : RngOrdIdl -> FldNum, Map
IsAbsoluteField(K) : FldAlg -> BoolElt
IsAlgebraicDifferentialField(R) : Rng -> BoolElt
IsDifferentialField(R) : Rng -> BoolElt
IsField(H) : HomModAbVar -> BoolElt, Fld, Map, Map
IsField(R) : Rng -> BoolElt
IsField(R) : RngDiff -> BoolElt
IsOverSmallerField (G, k: parameters) : GrpMat -> BoolElt, GrpMat
IsOverSmallerField (G: parameters) : GrpMat -> BoolElt, GrpMat
IsPrimeField(F) : Fld -> BoolElt
IsRationalFunctionField(F) : FldFunG -> BoolElt
IsRealisableOverSmallerField(M) : ModGrp -> BoolElt, ModGrp
IsSplittingField(K, A) : FldAlg, AlgQuat -> BoolElt, .
IsolGroupOfDegreeFieldSatisfying(d, p, f) : RngIntElt, RngIntElt, Predicate -> GrpMat
IsolGroupsOfDegreeFieldSatisfying(d, p, f) : RngIntElt, RngIntElt, Predicate -> SeqEnum
IsolNumberOfDegreeField(n, p) : RngIntElt, RngIntElt -> RngIntElt
IsolProcessOfDegreeField(d, p) : ., . -> Process
IsolProcessOfField(p) : . -> Process
LogarithmicFieldExtension(F, f) : RngDiff, RngDiffElt -> RngDiff
MatRepFieldSizes(A) : GrpAtlas -> SetEnum[RngIntElt]
MinimalCyclotomicField(a) : FldCycElt -> FldCyc
MinimalCyclotomicField(S) : [ FldCycElt ] -> FldCyc
MinimalField(q) : FldRatElt -> FldRat
MinimalField(G) : GrpMat -> FldFin
MinimalField(M) : ModRng -> FldFin
MinimalField(S) : SetEnum -> FldRat
ModuleOverSmallerField(M, F) : ModGrp, FldFin -> ModGrp
ModulesOverCommonField(M, N) : ModGrp, ModGrp -> ModGrp, ModGrp
ModulesOverSmallerField(Q, F) : SeqEnum, FldFin -> ModGrp
NumberField(A) : FldAb -> FldNum
NumberField(F) : FldOrd -> FldNum
NumberField(P) : PlcNumElt -> FldNum
NumberField(O) : RngOrd -> FldNum
NumberField(O) : RngQuad -> FldQuad
NumberField(f) : RngUPolElt -> FldNum
NumberField(e) : SubFldLatElt -> FldNum
NumberField(s) : [ RngUPolElt ] -> FldNum
NumberFieldSieve(n, F, m1, m2) : RngIntElt, RngMPolElt, RngIntElt, RngIntElt -> RngIntElt
NumberOfPlacesOfDegreeOneECFBound(C) : Crv -> RngIntElt
NumberOfPlacesOfDegreeOneECFBound(F) : FldFun -> RngIntElt
NumberOfPlacesOfDegreeOneOverExactConstantField(C) : Crv[FldFin] -> RngIntElt
NumberOfPlacesOfDegreeOneOverExactConstantField(C, m) : Crv[FldFin], RngIntElt -> RngIntElt
NumberOfPlacesOfDegreeOneOverExactConstantField(F) : FldFun -> RngIntElt
NumberOfPlacesOfDegreeOneOverExactConstantField(F, m) : FldFun -> RngIntElt
NumberOfPlacesOfDegreeOneOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt
NumberOfPlacesOfDegreeOneOverExactConstantFieldBound(F, m) : FldFun, RngIntElt -> RngIntElt
NumberOfPlacesOfDegreeOverExactConstantField(C, m) : Crv[FldFin], RngIntElt -> RngIntElt
NumberOfPlacesOfDegreeOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt
NumberOfPlacesOfDegreeOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt
PointsOverSplittingField(Z) : Clstr -> SetEnum
PrimeField(F) : Fld -> Fld
PrimeField(F) : FldFin -> FldFin
PrimeRing(F) : FldFun -> Rng
PrimeRing(L) : RngPad -> RngPad
QuadraticField(m) : RngIntElt -> FldQuad
RamificationField(p) : RngOrdIdl -> FldNum, Map
RamificationField(p, i) : RngOrdIdl, RngIntElt -> FldNum, Map
RationalDifferentialField(C) : Fld -> RngDiff
Rationals() : -> FldRat
RayClassField(D, U) : DivFunElt, GrpAb -> [FldFun], [Map]
RayClassField(D) : DivNumElt -> FldAb
RayClassField(m) : Map -> FldAb
RealField() : -> FldRe
RealField(p) : RngIntElt -> FldRe
RelativeField(F, L) : FldAlg, FldAlg -> FldAlg
ResidueClassField(P) : PlcCrvElt -> Rng
ResidueClassField(P) : PlcFunElt -> Rng
ResidueClassField(P) : PlcNumElt -> Fld
ResidueClassField(R, I) : Rng, Rng -> Fld, Map
ResidueClassField(I) : RngFunOrdIdl -> Rng, Map
ResidueClassField(O, I) : RngOrd, RngOrdIdl -> FldFin, Map
ResidueClassField(L) : RngPad -> FldFin, Map
ResidueClassField(R) : RngSer -> Rng, Map
ResidueClassField(E) : RngSerExt -> FldFin
ResidueField(R) : RngGal -> FldFin
RestrictField(G, S) : GrpMat, FldFin -> GrpMat, Map
RestrictField(V, L) : ModTupFld, Fld -> ModTupFld, MapHom
RingOfFractions(Q) : RngMPolRes -> RngFunFrac
RootsInSplittingField(f) : RngUPolElt[FldFin] -> [<RngUPolElt, RngIntElt>], FldFin
SetDefaultRealField(R) : FldRe ->
SmallerField(G) : GrpMat -> FLdFin
SmallerFieldBasis (G) : GrpMat -> GrpMatElt
SmallerFieldImage (G, g) : GrpMat, GrpMatElt -> GrpMatElt
SplittingField(F) : FldAlg -> FldAlg, SeqEnum
SplittingField(f) : RngUPolElt -> FldAlg
SplittingField(S) : RngUPolElt[FldFin] -> FldFin
SplittingField(P) : RngUPolElt[FldFin] -> FldFin
SplittingField(f, R) : RngUPolElt[RngInt], RngPad -> RngPad
SplittingField(L) : [RngUPolElt] -> FldNum, [FldNumElt]
SubfieldSubcode(C, S) : Code, FldFin -> Code, Map
UnderlyingField(R) : RngDiff -> Rng
UnderlyingRing(F) : FldFunG -> FldFunG
WriteOverLargerField(G) : GrpMat -> GrpMat, GrpAb, SeqEnum
WriteOverSmallerField(G, F) : GrpMat, FldFin -> GrpMat, Map
WriteOverSmallerField(M, F) : ModGrp, FldFin -> ModGrp, Map
ext< K | f > : FldFunRat, RngUPolElt -> FldFun
pAdicRing(p) : RngIntElt -> RngPad
pAdicRing(p, k) : RngIntElt, RngIntElt -> RngPad
[____] [____] [_____] [____] [__] [Index] [Root]