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Subindex: function  ..    Fundamental




function

   ALGEBRAIC FUNCTION FIELDS

   Arithmetic Functions (RING OF INTEGERS)

   Function (MAPPINGS)

   Function Application (MAGMA SEMANTICS)

   Function Expressions (MAGMA SEMANTICS)

   Function Fields and their Elements (SCHEMES)

   Function Values Assigned to Identifiers (MAGMA SEMANTICS)

   Functions (FUNCTIONS, PROCEDURES AND PACKAGES)

   Functions (OVERVIEW)

   Functions and Procedures (FUNCTIONS, PROCEDURES AND PACKAGES)

   FUNCTIONS, PROCEDURES AND PACKAGES

   Functions, Procedures, and Mappings (OVERVIEW)

   RATIONAL FUNCTION FIELDS

   Rings, Fields, and Algebras (OVERVIEW)

   Structure Creation (CHARACTERS OF FINITE GROUPS)

   The Growth Function (AUTOMATIC GROUPS)

   f := function(x_1, ..., x_n, ...: parameters) : ->

   f := function(x_1, ..., x_n: parameters) : ->

   function f(x_1, ..., x_n, ...: parameters) : ->

   function f(x_1, ..., x_n: parameters) : ->


function-application

   Function Application (MAGMA SEMANTICS)


function-expression

   Function Expressions (MAGMA SEMANTICS)


function-field

   ALGEBRAIC FUNCTION FIELDS


function-procedure

   Functions and Procedures (FUNCTIONS, PROCEDURES AND PACKAGES)


function-procedure-mapping

   Functions, Procedures, and Mappings (OVERVIEW)


function-procedure-package

   FUNCTIONS, PROCEDURES AND PACKAGES


function-value-assignment

   Function Values Assigned to Identifiers (MAGMA SEMANTICS)


function_field

   Function Field (HYPERELLIPTIC CURVES)

   Function Fields (ALGEBRAIC CURVES)

   Polynomials (ELLIPTIC CURVES)


function_field_and_polynomials

   Function Field and Polynomial  Ring (HYPERELLIPTIC CURVES)


Functional

   CheckFunctionalEquation(L) : LSer -> FldComElt

   LSeries(weight, gamma, conductor, cffun) : FldReElt,[FldRatElt],FldReElt,Any -> LSer


functionality

   Related functionality (MODELS OF GENUS ONE CURVES)


FunctionDegree

   FunctionDegree(f) : MapSch -> RngIntElt


FunctionField

   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

   ext< K | f > : FldFunRat, RngUPolElt -> FldFun

   FldFunRat_FunctionField (Example H54E1)


FunctionFieldDifferential

   CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt

   FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt

   CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt

   FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt

   CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt

   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt


FunctionFieldDivisor

   CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt

   FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt

   CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt

   FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt

   CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt

   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt


FunctionFieldPlace

   CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt

   FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt

   CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt

   FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt

   CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt

   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt


Functions

   EulerFactorsByDeformation(Q, Y) : RngMPolElt, SeqEnum -> SeqEnum

   ZetaFunctionsByDeformation(Q, Y) : RngMPolElt, SeqEnum -> SeqEnum

   JacobianOrdersByDeformation(Q, Y) : RngMPolElt, SeqEnum -> SeqEnum

   FldAC_Functions (Example H53E4)

   FldFin_Functions (Example H41E3)

   FldFin_Functions (Example H41E4)


functions

   Associated Structures (MODULAR CURVES)

   Construction Functions (FINITE SOLUBLE GROUPS)

   Conversion Functions (INCIDENCE GEOMETRY)

   Creation of Symmetric Functions (SYMMETRIC FUNCTIONS)

   Differential Operators of Algebraic Functions (DIFFERENTIAL RINGS, FIELDS AND OPERATORS)

   Elementary Functions (MODULES OVER DEDEKIND DOMAINS)

   Functions and Homogeneity on Ambient Spaces (SCHEMES)

   Functions on Elements (DIFFERENTIAL RINGS, FIELDS AND OPERATORS)

   The Functions (FINITELY PRESENTED GROUPS: ADVANCED)

   Transfer Between Group Categories (FINITE SOLUBLE GROUPS)


functions-diff-ring-elts

   Functions on Elements (DIFFERENTIAL RINGS, FIELDS AND OPERATORS)


Fundamental

   FundamentalCoweights(R) : RootDtm -> Mtrx

   FundamentalDiscriminant(D) : RngIntElt -> RngIntElt

   FundamentalDomain(G) : GrpPSL2  -> SeqEnum

   FundamentalDomain(FS) : SymFry -> SeqEnum

   FundamentalElement(B: parameters) : GrpBrd -> GrpBrdElt

   FundamentalGroup(C) : AlgMatElt -> GrpAb

   FundamentalGroup(D) : GrphDir -> GrpAb

   FundamentalGroup(G) : GrpLie -> GrpAb, Map

   FundamentalGroup(W) : GrpMat -> GrpAb

   FundamentalGroup(W) : GrpPermCox -> GrpAb

   FundamentalGroup(N) : MonStgElt -> GrpAb

   FundamentalGroup(R) : RootDtm -> GrpAb, Map

   FundamentalInvariants(R) : RngInvar -> [ RngMPolElt ]

   FundamentalQuotient(Q) : QuadBin -> Map

   FundamentalUnit(K) : FldQuad -> FldQuadElt

   FundamentalUnits(O) : RngFunOrd -> SeqEnum[RngFunOrdElt]

   FundamentalWeights(G) : GrpLie -> Mtrx

   FundamentalWeights(W) : GrpMat -> Mtrx

   FundamentalWeights(W) : GrpPermCox -> SeqEnum

   FundamentalWeights(R) : RootDtm -> Mtrx

   IsFundamentalDiscriminant(D) : RngIntElt -> BoolElt

   SetOrderUnitsAreFundamental(O) : RngOrd ->

   To2DUpperHalfSpaceFundamentalDomian(z) : Mtrx -> Mtrx, Mtrx




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