Subindex: approximants .. arith

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Subindex: approximants .. arith

approximants

Approximants (RATIONAL FUNCTION FIELDS)

Approximate

   ApproximateByTorsionGroup(G : parameters) : ModAbVarSubGrp -> ModAbVarSubGrp
   ApproximateByTorsionPoint(x : parameters) : ModAbVarElt -> ModAbVarElt
   ApproximateOrder(x) : ModAbVarElt -> RngIntElt
   ApproximateStabiliser(G, A, U: parameters) : GrpMat, GrpMat, ModTupFld -> GrpMat, GrpMat, RngIntElt, RngIntElt, RngIntElt

ApproximateByTorsionGroup

ApproximateByTorsionGroup(G : parameters) : ModAbVarSubGrp -> ModAbVarSubGrp

ApproximateByTorsionPoint

ApproximateByTorsionPoint(x : parameters) : ModAbVarElt -> ModAbVarElt

ApproximateOrder

ApproximateOrder(x) : ModAbVarElt -> RngIntElt

ApproximateStabiliser

ApproximateStabiliser(G, A, U: parameters) : GrpMat, GrpMat, ModTupFld -> GrpMat, GrpMat, RngIntElt, RngIntElt, RngIntElt

Approximation

   BernoulliApproximation(n) : RngIntElt -> FldPrElt
   BernoulliApproximation(n) : RngIntElt -> FldReElt
   BestApproximation(r, n) : FldReElt, RngIntElt -> FldReElt
   ClassNumberApproximation(F, e) : FldFunG, FldReElt -> FldReElt
   ClassNumberApproximationBound(q, g, e) : RngIntElt, RngIntElt, RngIntElt, -> RngIntElt
   HilbertSeriesApproximation(R, n) : RngInvar, RngIntElt -> RngSerLaurElt
   MolienSeriesApproximation(G, n) : GrpPerm, RngIntElt -> RngSerLaurElt
   MurphyAlphaApproximation(F, b) : RngMPolElt, RngIntElt -> FldReElt
   StrongApproximation(m, S): DivFunElt, [<PlcFunElt, FldFunElt>] -> FldFunElt

AQInvariants

   AQInvariants(G) : GrpFP -> [ RngIntElt ]
   AbelianQuotientInvariants(G) : GrpFP -> [ RngIntElt ]
   AbelianQuotientInvariants(H) : GrpFP -> [ RngIntElt ]
   AbelianQuotientInvariants(G, n) : GrpFP, RngIntElt -> [ RngIntElt ]
   AbelianQuotientInvariants(H, n) : GrpFP, RngIntElt -> [ RngIntElt ]
   AbelianQuotientInvariants(G) : GrpGPC -> [ RngIntElt ]
   AbelianQuotientInvariants(G) : GrpPC -> SeqEnum

arbitrary

General K[G]-Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
GENERAL LOCAL FIELDS

arbitrary-K[G]-module

General K[G]-Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)

Arc

FixedArc(g,H) : GrpPSL2Elt, SpcHyp -> SeqEnum
IsArc(P, A) : Plane, { PlanePt } -> BoolElt

arc

Arcs (FINITE PLANES)

Arccos

   Arccos(r) : FldReElt -> FldReElt
   Arccos(f) : RngSerElt -> RngSerElt
   Arccos(f) : RngSerElt -> RngSerElt

Arccosec

Arccosec(r) : FldReElt -> FldReElt

Arccot

Arccot(r) : FldReElt -> FldReElt

arcs

Plane_arcs (Example H141E10)

Arcsec

Arcsec(r) : FldReElt -> FldReElt

Arcsin

   Arcsin(r) : FldReElt -> FldReElt
   Arcsin(f) : RngSerElt -> RngSerElt
   Arcsin(f) : RngSerElt -> RngSerElt

Arctan

   Arctan(r) : FldReElt -> FldReElt
   Arctan(x, y) : FldReElt, FldReElt -> FldReElt
   Arctan(f) : RngSerElt -> RngSerElt
   Arctan(f) : RngSerElt -> RngSerElt

Arctan2

Arctan2(x, y) : FldReElt, FldReElt -> FldReElt
Arctan(x, y) : FldReElt, FldReElt -> FldReElt

Are

   AreCohomologous(alpha, beta) : OneCoC, OneCoC -> BoolElt, GrpElt
   AreIdentical(u, v: parameters) : GrpBrdElt, GrpBrdElt -> BoolElt
   AreInvolutionsConjugate(G, x, wx, y, wy : parameters) : GrpMat,GrpMatElt, GrpSLPElt, GrpMatElt, GrpSLPElt -> BoolElt, GrpMatElt, GrpSLPElt
   AreLinearlyEquivalent(D,E) : DivTorElt,DivTorElt -> BoolElt
   AreProportional(P,Q) : TorLatElt,TorLatElt -> BoolElt, FldRatElt
   SetOrderUnitsAreFundamental(O) : RngOrd ->

AreCohomologous

AreCohomologous(alpha, beta) : OneCoC, OneCoC -> BoolElt, GrpElt

AreIdentical

AreIdentical(u, v: parameters) : GrpBrdElt, GrpBrdElt -> BoolElt

AreInvolutionsConjugate

AreInvolutionsConjugate(G, x, wx, y, wy : parameters) : GrpMat,GrpMatElt, GrpSLPElt, GrpMatElt, GrpSLPElt -> BoolElt, GrpMatElt, GrpSLPElt

AreLinearlyEquivalent

IsLinearlyEquivalent(D,E) : DivTorElt,DivTorElt -> BoolElt
AreLinearlyEquivalent(D,E) : DivTorElt,DivTorElt -> BoolElt

AreProportional

AreProportional(P,Q) : TorLatElt,TorLatElt -> BoolElt, FldRatElt

Arf

ArfInvariant(V) : ModTupFld -> RngIntElt

ArfInvariant

ArfInvariant(V) : ModTupFld -> RngIntElt

Arg

Arg(c) : FldComElt -> FldReElt
Argument(c) : FldComElt -> FldReElt

Argcosech

Argcosech(s) : FldReElt -> FldReElt

Argcosh

   Argcosh(r) : FldReElt -> FldReElt
   Argcosh(f) : RngSerElt -> RngSerElt
   Argcosh(f) : RngSerElt -> RngSerElt

Argcoth

Argcoth(s) : FldReElt -> FldReElt

Argsech

Argsech(s) : FldReElt -> FldReElt

Argsinh

   Argsinh(r) : FldReElt -> FldReElt
   Argsinh(f) : RngSerElt -> RngSerElt
   Argsinh(f) : RngSerElt -> RngSerElt

Argtanh

   Argtanh(s) : FldReElt -> FldReElt
   Argtanh(f) : RngSerElt -> RngSerElt
   Argtanh(f) : RngSerElt -> RngSerElt

Argument

   Arg(c) : FldComElt -> FldReElt
   Argument(c) : FldComElt -> FldReElt
   Argument(z) : SpcHydElt -> FldReElt

argument

Reference Arguments (MAGMA SEMANTICS)

arith

   Arithmetic (ALGEBRAIC POWER SERIES RINGS)
   Arithmetic (GENERAL LOCAL FIELDS)
   Arithmetic of Divisors (SCHEMES)
   Arithmetic of Points (HYPERELLIPTIC CURVES)
   Arithmetic Operators (ALGEBRAIC FUNCTION FIELDS)
   Arithmetic with Elements (MODULES OVER DEDEKIND DOMAINS)
   Arithmetic with Lazy Series (LAZY POWER SERIES RINGS)
   Arithmetic with Modules (MODULES OVER DEDEKIND DOMAINS)
   Arithmetic with Places and Divisors (NUMBER FIELDS)
   Arithmetic with Places and Divisors (ORDERS AND ALGEBRAIC FIELDS)
   Curves over Global Fields (ALGEBRAIC CURVES)
   Minimal Degree Functions and Plane Models (ALGEBRAIC CURVES)
   Modular Degree and Torsion (MODULAR SYMBOLS)
   RngPowAlg_arith (Example H52E3)

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