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Subindex: free .. Function
Construction of a Free Group (FINITELY PRESENTED GROUPS)
Free Modules (FREE MODULES)
Free Real Numbers (REAL AND COMPLEX FIELDS)
Free Resolutions (MODULES OVER AFFINE ALGEBRAS)
Structure Constructors (FINITELY PRESENTED ABELIAN GROUPS)
Structure Constructors (FINITELY PRESENTED SEMIGROUPS)
Structure Constructors (GROUPS OF STRAIGHT-LINE PROGRAMS)
Free Modules (FREE MODULES)
Free Resolutions (MODULES OVER AFFINE ALGEBRAS)
FreeAbelianGroup(GrpGPC, n) : Cat, RngIntElt -> GrpGPC
FreeAbelianGroup(n) : RngIntElt -> GrpAb
GrpAb_FreeAbelianGroup (Example H25E1)
FreeAbelianQuotient(G) : GrpAb -> GrpAb, Map
FreeAbelianQuotient(G) : GrpGPC -> GrpAb, Map
FreeAlgebra(R, M) : Rng, MonFP -> AlgFP
AlgFP_FreeAlgebra (Example H70E1)
FreeGroup(n) : RngIntElt -> GrpFP
FreeMonoid(n) : RngIntElt -> MonFP
FreeNilpotentGroup(r, e) : RngIntElt, RngIntElt -> GrpGPC
FreeProduct(G, H) : GrpFP, GrpFP -> GrpFP
FreeProduct(R, S) : SgpFP, SgpFP -> SgpFP
FreeProduct(Q) : [ GrpFP ] -> GrpFP
FreeResolution(M) : ModMPol -> [ ModMPol ]
FreeResolution(R) : RngInvar -> [ ModMPol ]
PMod_FreeResolution (Example H49E6)
FreeSemigroup(n) : RngIntElt -> SgpFP
SgpFP_FreeSemigroup (Example H14E1)
freeze;
DecompositionTypeFrequency(A, a, b) : FldAb, RngIntElt, RngIntElt -> Mset
DecompositionTypeFrequency(A, l) : FldAb, [ ] -> Mset
Frobenius(P, k) : JacHypPt, FldFin -> JacHypPt
Frobenius(P, F) : PtHyp, FldFin -> PtHyp
FrobeniusAutomorphisms(G) : GrpMat -> SeqEnum
FrobeniusAutomosphism(A, p) : FldAb, RngOrdIdl -> Map
FrobeniusImage(e) : RngWittElt -> RngWittElt
FrobeniusMap(E) : CrvEll -> Map
FrobeniusMap(E, i) : CrvEll, RngIntElt -> Map
IsFrobenius(G) : GrpPerm -> BoolElt
Trace(H): SetPtEll -> RngIntElt
Trace(H, r): SetPtEll, RngIntElt -> RngIntElt
x in W : . RngWitt -> BoolElt
CrvEll_Frobenius (Example H91E47)
Frobenius (HYPERELLIPTIC CURVES)
Frobenius (HYPERELLIPTIC CURVES)
FrobeniusAutomorphisms(G) : GrpMat -> SeqEnum
FrobeniusAutomosphism(A, p) : FldAb, RngOrdIdl -> Map
FrobeniusImage(e) : RngWittElt -> RngWittElt
FrobeniusMap(E) : CrvEll -> Map
FrobeniusMap(E, i) : CrvEll, RngIntElt -> Map
x in W : . RngWitt -> BoolElt
ConvertFromManinSymbol(M, x) : ModSym, Tup -> ModSymElt
GSetFromIndexed(G, Y) : GrpPerm, SetIndx -> GSet
HyperellipticCurveFromIgusaClebsch(S) : SeqEnum -> CrvHyp
IsogenyFromKernel(E, psi) : CrvEll, RngUPolElt -> CrvEll, Map
IsogenyFromKernel(G) : CrvEllSubgroup -> CrvEll, Map
IsogenyFromKernelFactored(E, psi) : CrvEllSubgroup -> CrvEll, Map
IsogenyFromKernelFactored(G) : CrvEllSubgroup -> CrvEll, Map
K3SurfaceFromAFR(DB,c,n) : SeqEnum,RngIntElt,RngIntElt -> VSrfK3
K3SurfacesFromBasket(DB,B) : SeqEnum,SeqEnum -> SeqEnum
K3SurfacesFromWeights(DB,W) : SeqEnum,SeqEnum -> SeqEnum
ProjectionFromNonsingularPoint(X,p) : Sch,Pt -> Sch,MapSch,Sch
Z4CodeFromBinaryChain(C1, C2) : Code, Code -> Code
Creation from Curve Singularities (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
Creation from Pencils (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
Transfer from GrpPC (FINITE SOLUBLE GROUPS)
Transfer from GrpPC (FINITE SOLUBLE GROUPS)
EllipticCurveWithjInvariant(j) : RngElt -> CrvEll
EllipticCurveFromjInvariant(j) : RngElt -> CrvEll
IsFTGeometry(C) : CosetGeom -> BoolElt
IsFTGeometry(D) : IncGeom -> BoolElt
Function Expressions (OVERVIEW)
f := func< x_1, ..., x_n: parameters | expression >;
AlgebraicFunction(X, num, den) : Sch, MPolElt, MPolElt -> FldElt
BesselFunction(n, r) : RngIntElt, FldReElt -> FldReElt
ClassFunctionSpace(G) : Grp -> AlgChtr
ComplementaryErrorFunction(r) : FldReElt -> FldReElt
DivisionFunction(E, n) : Fld, RngIntElt -> RngFunOrdElt
ErrorFunction(r) : FldReElt -> FldReElt
FaceFunction(F) : NwtnPgon,Tup -> RngElt
Function(f) : Map -> UserProgram
FunctionDegree(f) : MapSch -> RngIntElt
FunctionField(A) : Aff -> FldFunRat
FunctionField(C) : Crv -> FldFun
FunctionField(E) : CrvEll -> FldFun
FunctionField(X) : CrvMod -> FldFun
FunctionField(D) : DiffFun -> FldFun
FunctionField(S) : DiffFun -> FldFun
FunctionField(a) : DiffFunElt -> 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(e) : RngWittElt -> FldFun, Map
FunctionField(A) : Sch -> FldFunG
FunctionField(C) : Sch -> FldFunG
FunctionFieldDivisor(D) : DivCrvElt -> DivFunElt
FunctionFieldPlace(P) : PlcCrvElt -> PlcFunElt
GrowthFunction(G) : GrpAtc -> FldFunRatElt
HermitianFunctionField(p, d) : RngIntElt, RngIntElt -> FldFun
HilbertFunction(p,V) : RngUPolElt, SeqEnum -> UserProgram
ImplicitFunction(f, d, n) : RngUPolElt, RngIntElt, RngIntElt -> RngSerElt
IsAmbientFunction(A,f) : Sch,RngElt -> BoolElt, RngElt
IsAmbientRationalFunction(A,f) : Sch,RngElt -> BoolElt
IsMaximisingFunction(L) : LP -> BoolElt
IsRationalFunctionField(F) : FldFunG -> BoolElt
ObjectiveFunction(L) : LP -> Mtrx
RationalFunction(a) : FldFunGElt -> RngElt
SetMaximiseFunction(L, m) : LP, BoolElt ->
SetObjectiveFunction(L, F) : LP, Mtrx ->
ZetaFunction(E) : CrvEll -> FldFunRatUElt
ZetaFunction(C) : CrvHyp -> FldFunRatUElt
ZetaFunction(C, K) : CrvHyp, FldFin -> FldFunRatUElt
ZetaFunction(F) : FldFun -> FldFunRatUElt
ZetaFunction(F, m) : FldFun, RngIntElt -> FldFunRatUElt
ZetaFunction(s) : FldPrElt -> FldPrElt
ext< K | f > : FldFunRat, RngUPolElt -> FldFun
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