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Subindex: exp  ..  ext


exp

   Logarithms and Exponentials (p-ADIC RINGS AND THEIR EXTENSIONS)

Expand

   Expand(a, P) : FldFunGElt, PlcFunElt -> RngSerElt, FldFunGElt
   Expand(phi) : MapSch -> MapSch
   Expand(x) : RngPadElt -> RngPadElt
   ExpandToPrecision(f, c, n) : RngUPolElt, RngSerPuisElt -> RngSerPuisElt

ExpandToPrecision

   ExpandToPrecision(f, c, n) : RngUPolElt, RngSerPuisElt -> RngSerPuisElt

Expansion

   DuvalPuiseuxExpansion(f, n) : RngUPolElt, RngIntElt -> SeqEnum
   PuiseuxExpansion(f, n) : RngUPolElt, RngIntElt -> SeqEnum[RngSerPuisElt]
   qExpansionBasis(M, prec) : ModBrdt, RngIntElt -> SeqEnum
   qExpansionBasis(M, prec : parameters) : ModSym, RngIntElt -> SeqEnum

expansions

   q-Expansions (MODULAR FORMS)

Explicit

   ExplicitCoset(V, i) : GrpFPCos, RngIntElt -> GrpFPCosElt

explicit

   Explicit Creation (SCHEMES)
   Explicit Restrictions (SCHEMES)

explicit-creation

   Explicit Creation (SCHEMES)

explicit-restrictions

   Explicit Restrictions (SCHEMES)

ExplicitCoset

   ExplicitCoset(V, i) : GrpFPCos, RngIntElt -> GrpFPCosElt

ExplicitLPSolutionsOne

   LP_ExplicitLPSolutionsOne (Example H110E1)

ExplicitLPSolutionsTwo

   LP_ExplicitLPSolutionsTwo (Example H110E2)

Explode

   Explode(R) : SeqEnum -> List
   Explode(T) : Tup -> t1, t2, ...

Exponent

   Exponent(G) : GrpAb -> RngIntElt
   Exponent(G) : GrpFin -> RngIntElt
   Exponent(G) : GrpMat -> RngIntElt
   Exponent(G) : GrpPC -> RngIntElt
   Exponent(G) : GrpPerm -> RngIntElt
   ExponentDenominator(f) : RngMSerElt -> RngElt
   ExponentLaw(~P : parameters) : Proc(pQuot) ->
   ExponentSum(w, x) : GrpFPElt, GrpFPElt -> RngIntElt
   LeadingExponent(x) : GrpGPCElt -> RngIntElt
   LeadingExponent(x) : GrpPCElt -> RngIntElt
   MantissaExponent(r) : FldReElt -> FldReElt, RngIntElt

ExponentDenominator

   ExponentDenominator(f) : RngMSerElt -> RngElt

Exponential

   ExponentialIntegral(r) : FldReElt -> FldReElt
   ExponentialIntegralE1(r) : FldReElt -> FldReElt

exponential

   Exponential and Logarithmic Functions (POWER, LAURENT AND PUISEUX SERIES)
   Exponential, Logarithmic and Polylogarithmic Functions (REAL AND COMPLEX FIELDS)

ExponentialIntegral

   ExponentialIntegral(r) : FldReElt -> FldReElt

ExponentialIntegralE1

   ExponentialIntegralE1(r) : FldReElt -> FldReElt

exponentiation

   Operators (OVERVIEW)

ExponentLaw

   ExponentLaw(~P : parameters) : Proc(pQuot) ->

Exponents

   Exponents(f) : RngMPolElt -> [ RngIntElt ]
   ExtensionExponents(D, Q, p) : DB, MonStgElt, RngIntElt -> SetEnum
   PuiseuxExponents(p) : RngSerElt -> SeqEnum
   PuiseuxExponentsCommon(p, q) : RngSerElt, RngSerElt -> SeqEnum

ExponentSum

   Weight(w, x) : GrpFPElt, GrpFPElt -> RngIntElt
   ExponentSum(w, x) : GrpFPElt, GrpFPElt -> RngIntElt

expression

   Expression (OVERVIEW)
   Function Expressions (MAGMA SEMANTICS)
   Function Expressions (OVERVIEW)
   Procedure Expressions (MAGMA SEMANTICS)
   Procedure Expressions (OVERVIEW)
   The Case Expression (STATEMENTS AND EXPRESSIONS)
   The Simple Conditional Expression (STATEMENTS AND EXPRESSIONS)

expressions

   STATEMENTS AND EXPRESSIONS

exps

   Newton_exps (Example H60E8)

Expurgate

   ExpurgateCode(C) : Code -> Code
   ExpurgateCode(C, L) : Code,[ModTupFldElt] -> Code
   ExpurgateWeightCode(C, w) : Code, RngIntElt -> Code

ExpurgateCode

   ExpurgateCode(C) : Code -> Code
   ExpurgateCode(C, L) : Code,[ModTupFldElt] -> Code

ExpurgateWeightCode

   ExpurgateWeightCode(C, w) : Code, RngIntElt -> Code

Ext

   ExtGenerators(G, U) : GrpPC, GrpPC -> [<AlgMatElt, RngIntElt>]

ext

   Constructor (OVERVIEW)
   Precision of Extensions (p-ADIC RINGS AND THEIR EXTENSIONS)
   TotallyRamifiedExtension(L, f) : RngPad, RngUPolElt -> RngPad
   UnramifiedExtension(L, n) : RngPad, RngIntElt -> RngPad
   UnramifiedExtension(L, f) : RngPad, RngUPolElt -> RngPad
   ext< F | s1, ..., sn > : FldAlg, RngUPolElt, ..., RngUPolElt -> FldAlg
   ext<F | n> : FldFin, RngIntElt -> FldFin, Map
   ext<F | P> : FldFin, RngPolElt(FldFin) -> FldFin, Map
   ext< K | f > : FldFunRat, RngUPolElt -> FldFun
   ext< L | S > : Lat, List -> Lat
   ext< R | > : Rng -> RngUPol
   ext< R, n | > : Rng, RngIntElt -> RngMPol
   ext<O | f> : RngFunOrd, RngUPolElt -> RngFunOrd
   ext< Z | f > : RngInt, RngUPolElt -> RngOrd
   ext< O | a_1, ..., a_r > : RngOrd, RngOrdElt, ..., RngOrdElt -> RngOrd
   ext<L | m> : RngPad, Map -> RngPad


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