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Subindex: height  ..  HesseCovariants


height

   Heights and Height Pairing (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)

HeightConstant

   HeightConstant(J: parameters) : JacHyp -> FldPrElt, FldPrElt

HeightOnAmbient

   HeightOnAmbient(P) : Pt -> FldReElt

HeightPairing

   HeightPairing(P, Q: parameters) : JacHypPt, JacHypPt -> FldPrElt
   HeightPairing(P, Q: parameters) : PtEll, PtEll -> FldComElt
   HeightPairing(P, Q) : PtEll[FldFunG], PtEll[FldFunG] -> FldRatElt
   CrvHyp_HeightPairing (Example H125E27)

HeightPairing2

   CrvHyp_HeightPairing2 (Example H125E28)

HeightPairingLattice

   HeightPairingLattice(S) : [PtEll[FldFunG]] -> AlgMatElt, Map

HeightPairingMatrix

   HeightPairingMatrix(S: parameters) : [PtEll] -> AlgMat
   HeightPairingMatrix(P : parameters) : [PtEll] -> AlgMatElt
   HeightPairingMatrix(S: Precision) : [JacHypPt] -> AlgMat
   HeightPairingMatrix(S) : SeqEnum[PtEll[FldFunG]] -> AlgMatElt

heights

   Height (SCHEMES)
   Heights (ELLIPTIC CURVES OVER FUNCTION FIELDS)
   Heights (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)
   Heights and Regulator (HYPERELLIPTIC CURVES)

Help

   GetHelpExternalBrowser() : -> MonStgElt, MonStgElt
   GetHelpExternalSystem() : -> MonStgElt
   GetHelpUseExternal() : -> BoolElt, BoolElt
   SetHelpExternalBrowser(S, T) : MonStgElt, MonStgElt ->
   SetHelpExternalSystem(s) : MonStgElt ->
   SetHelpUseExternalBrowser(b) : BoolElt ->
   SetHelpUseExternalSystem(b) : BoolElt ->

help

   Internal Help Browser (ENVIRONMENT AND OPTIONS)
   The Magma Help System (ENVIRONMENT AND OPTIONS)

HELP_

   MAGMA_HELP_DIR

Hensel

   HenselLift(f, R, k) : RngUPolElt, FldReElt, RngIntElt -> FldReElt
   HenselLift(f, x) : RngUPolElt, RngPadElt -> RngPadElt
   HenselLift(f, s, P) : RngUPolElt, [ RngUPolElt ], RngUPol -> [ RngUPolElt ]
   HenselLift(f, s) : RngUPolElt, [RngUPolElt] -> [RngUPolElt]
   HenselLift(f, L) : RngUPolElt[RngSer], SeqEnum[RngUPolElt] -> [RngUPolElt]
   RngLoc_Hensel (Example H47E17)
   RngPol_Hensel (Example H23E7)

hensel

   Hensel Lifting (UNIVARIATE POLYNOMIAL RINGS)
   Hensel Lifting of Roots (p-ADIC RINGS AND THEIR EXTENSIONS)

hensel-roots

   Hensel Lifting of Roots (p-ADIC RINGS AND THEIR EXTENSIONS)

HenselLift

   HenselLift(f, R, k) : RngUPolElt, FldReElt, RngIntElt -> FldReElt
   HenselLift(f, x) : RngUPolElt, RngPadElt -> RngPadElt
   HenselLift(f, s, P) : RngUPolElt, [ RngUPolElt ], RngUPol -> [ RngUPolElt ]
   HenselLift(f, s) : RngUPolElt, [RngUPolElt] -> [RngUPolElt]
   HenselLift(f, L) : RngUPolElt[RngSer], SeqEnum[RngUPolElt] -> [RngUPolElt]

Hereditary

   IsHereditary(O, p) : AlgAssVOrd , RngOrdIdl -> BoolElt
   IsHereditary(O) : AlgAssVOrd -> BoolElt

hermandalt

   FldForms_hermandalt (Example H29E23)

Hermite

   HermiteConstant(n) : RngIntElt -> RngElt
   HermiteForm(X) : AlgMatElt -> AlgMatElt, AlgMatElt
   HermiteForm(A) : Mtrx -> Mtrx, ModMatRngElt
   HermiteForm(X) : PMat -> PMat, AlgMatElt
   HermiteNumber(L) : Lat -> FldReElt
   HermitePolynomial(n) : RngIntElt -> RngUPolElt
   PadeHermiteApproximant(f,m) : SeqEnum, RngIntElt -> ModTupRngElt, SeqEnum
   PadeHermiteApproximant(f,d) : SeqEnum, SeqEnum -> ModTupRngElt, SeqEnum, RngIntElt

hermite

   Approximants (RATIONAL FUNCTION FIELDS)

HermiteConstant

   HermiteConstant(n) : RngIntElt -> RngElt

HermiteForm

   HermiteForm(X) : AlgMatElt -> AlgMatElt, AlgMatElt
   HermiteForm(A) : Mtrx -> Mtrx, ModMatRngElt
   HermiteForm(X) : PMat -> PMat, AlgMatElt

HermiteNumber

   HermiteNumber(L) : Lat -> FldReElt

HermitePolynomial

   HermitePolynomial(n) : RngIntElt -> RngUPolElt

Hermitian

   QuaternionicAutomorphismGroup(M) : Mtrx -> GrpMat
   HermitianAutomorphismGroup(M) : Mtrx -> GrpMat
   HermitianCode(q, r) : RngIntElt, RngIntElt -> Code
   HermitianFunctionField(p, d) : RngIntElt, RngIntElt -> FldFun
   HermitianTranspose(M) : Mtrx -> Mtrx
   StandardHermitianForm(n,K) : RngIntElt, Fld -> AlgMatElt, Map

hermitian

   Hermitian Lattices (LATTICES)

HermitianAutomorphismGroup

   QuaternionicAutomorphismGroup(M) : Mtrx -> GrpMat
   HermitianAutomorphismGroup(M) : Mtrx -> GrpMat

HermitianCode

   HermitianCode(q, r) : RngIntElt, RngIntElt -> Code

HermitianFunctionField

   HermitianFunctionField(p, d) : RngIntElt, RngIntElt -> FldFun

HermitianTranspose

   QuaternionicTranspose(M) : Mtrx -> Mtrx
   HermitianTranspose(M) : Mtrx -> Mtrx

Heron

   RngMPol_Heron (Example H24E10)

Hesse

   HesseCovariants(model, r) : ModelG1 -> ModelG1, ModelG1
   HesseModel(n, seq) : RngIntElt, [ RngElt ] -> ModelG1
   HessePolynomials(n, r, invariants : parameters) : RngIntElt, RngIntElt, [RngElt] -> RngElt, RngElt, RngElt

HesseCovariants

   HesseCovariants(model, r) : ModelG1 -> ModelG1, ModelG1

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