Documentation

basket-test
- Tests for Baskets (HILBERT SERIES OF POLARISED VARIETIES)
baskets
- Baskets of Singularities (HILBERT SERIES OF POLARISED VARIETIES)
- Creation and Modification of Baskets (HILBERT SERIES OF POLARISED VARIETIES)
Bass
- IsBass(O, p) : AlgAssVOrd , RngOrdIdl -> BoolElt
- IsBass(O) : AlgAssVOrd -> BoolElt
BBCrossProduct
- Multilinear_BBCrossProduct (Example H62E4)
BBSModulus
- BlumBlumShubModulus(b) : RngIntElt -> RngIntElt
- BBSModulus(b) : RngIntElt -> RngIntElt
BBTensorsFrame
- Multilinear_BBTensorsFrame (Example H62E3)
BBTripleProduct
- Multilinear_BBTripleProduct (Example H62E5)
BCH
- BCH Codes and their Generalizations (LINEAR CODES OVER FINITE FIELDS)
BCHBound
- BCHBound(C) : Code -> RngIntElt, RngIntElt
BCHCode
- BCHCode(K, n, d, b) : FldFin, RngIntElt, RngIntElt, RngIntElt -> Code
- CodeFld_BCHCode (Example H161E27)
BDiagram
- BDiagram(G) : GrpPerm -> GrphUnd
BDLC
- BestDimensionLinearCode(K, n, d) : FldFin, RngIntElt, RngIntElt -> Code
- BDLC(K, n, d) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
BDLC-GF4
- CodeFld_BDLC-GF4 (Example H161E42)
BDLCLower
- BDLCLowerBound(F, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt
BDLCLowerBound
- BDLCLowerBound(F, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt
BDLCUpper
- BDLCUpperBound(F, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt
BDLCUpperBound
- BDLCUpperBound(F, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt
Beep
- GetBeep() : -> BoolElt
- SetBeep(b) : BoolElt ->
Bell
- Bell(n) : RngIntElt -> RngIntElt
- Bell(n) : RngIntElt -> RngIntElt
Berlekamp
- ConnectionPolynomial(S) : SeqEnum -> RngUPolElt, RngIntElt
- CharacteristicPolynomial(S) : SeqEnum -> RngUPolElt, RngIntElt
- BerlekampMassey(S) : SeqEnum -> RngUPolElt, RngIntElt
BerlekampMassey
- ConnectionPolynomial(S) : SeqEnum -> RngUPolElt, RngIntElt
- CharacteristicPolynomial(S) : SeqEnum -> RngUPolElt, RngIntElt
- BerlekampMassey(S) : SeqEnum -> RngUPolElt, RngIntElt
Bernoulli
- BernoulliApproximation(n) : RngIntElt -> FldPrElt
- BernoulliApproximation(n) : RngIntElt -> FldReElt
- BernoulliNumber(n) : RngIntElt -> FldRatElt
- BernoulliNumber(n) : RngIntElt -> FldRatElt
- BernoulliPolynomial(n) : RngIntElt -> RngUPolElt
- BernoulliPolynomial(n) : RngIntElt -> RngUPolElt
- RngSer_Bernoulli (Example H50E3)
bernoulli
- The Bernoulli Polynomial (UNIVARIATE POLYNOMIAL RINGS)
bernoulli-polynomial
- The Bernoulli Polynomial (UNIVARIATE POLYNOMIAL RINGS)
BernoulliApproximation
- BernoulliApproximation(n) : RngIntElt -> FldPrElt
- BernoulliApproximation(n) : RngIntElt -> FldReElt
BernoulliNumber
- BernoulliNumber(n) : RngIntElt -> FldRatElt
- BernoulliNumber(n) : RngIntElt -> FldRatElt
BernoulliPolynomial
- BernoulliPolynomial(n) : RngIntElt -> RngUPolElt
- BernoulliPolynomial(n) : RngIntElt -> RngUPolElt
Bessel
- BesselFunction(n, r) : RngIntElt, FldReElt -> FldReElt
- BesselFunctionSecondKind(n, r) : RngIntElt, FldReElt -> FldReElt
bessel
- KBessel2(n, s) : FldReElt, FldReElt -> FldReElt
- Gamma, Bessel and Associated Functions (REAL AND COMPLEX FIELDS)
BesselFunction
- BesselFunction(n, r) : RngIntElt, FldReElt -> FldReElt
BesselFunctionSecondKind
- BesselFunctionSecondKind(n, r) : RngIntElt, FldReElt -> FldReElt
Best
- BestDimensionLinearCode(K, n, d) : FldFin, RngIntElt, RngIntElt -> Code
- BDLC(K, n, d) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
- BKLC(K, n, k) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
- BLLC(K, k, d) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
- BestApproximation(r, n) : FldReElt, RngIntElt -> FldReElt
- BestTranslation(F, m, a) : RngMPolElt, RngIntElt, FldReElt, FldReElt -> RngMPolElt, RngIntElt, FldReElt, FldReElt
- QECC(F, n, k) : FldFin, RngIntElt, RngIntElt -> CodeQuantum, BoolElt
best
- Best Known Bounds (QUANTUM CODES)
- Best Known Bounds for Linear Codes (LINEAR CODES OVER FINITE FIELDS)
- Best Known Linear Codes (LINEAR CODES OVER FINITE FIELDS)
- Best Known Quantum Codes (QUANTUM CODES)
best-bounds
- Best Known Bounds for Linear Codes (LINEAR CODES OVER FINITE FIELDS)
best-codes
- Best Known Linear Codes (LINEAR CODES OVER FINITE FIELDS)
best-known-quantum-bounds
- Best Known Bounds (QUANTUM CODES)
best-known-quantum-codes
- Best Known Quantum Codes (QUANTUM CODES)
BestApproximation
- BestApproximation(r, n) : FldReElt, RngIntElt -> FldReElt
BestDimensionLinearCode
- BestDimensionLinearCode(K, n, d) : FldFin, RngIntElt, RngIntElt -> Code
- BDLC(K, n, d) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
BestKnownLinearCode
- BestKnownLinearCode(K, n, k) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
- BKLC(K, n, k) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
BestKnownQuantumCode
- BKQC(F, n, k) : FldFin, RngIntElt, RngIntElt -> CodeQuantum, BoolElt
- BestKnownQuantumCode(F, n, k) : FldFin, RngIntElt, RngIntElt -> CodeQuantum, BoolElt
- QECC(F, n, k) : FldFin, RngIntElt, RngIntElt -> CodeQuantum, BoolElt
BestLength-GF2
- CodeFld_BestLength-GF2 (Example H161E41)
BestLengthLinearCode
- BestLengthLinearCode(K, k, d) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
- BLLC(K, k, d) : FldFin, RngIntElt, RngIntElt -> Code, BoolElt
BestTranslation
- BestTranslation(F, m, a) : RngMPolElt, RngIntElt, FldReElt, FldReElt -> RngMPolElt, RngIntElt, FldReElt, FldReElt
Beta
- AlphaBetaData(H) : HypGeomData -> SeqEnum, SeqEnum
- SimplexBetaCodeZ4(k) : RngIntElt -> Code
BetterRankBounds
- CrvHyp_BetterRankBounds (Example H134E30)
Betti
- ApparentEquationDegrees(X) : GRSch -> RngIntElt
- ApparentSyzygyDegrees(X) : GRSch -> RngIntElt
- BettiNumbers(X) : GRSch -> RngIntElt
- ApparentCodimension(X) : GRSch -> RngIntElt
- BettiNumber(E, i) : CrvEll, RngIntElt -> RngIntElt
- BettiNumber(M, i, j) : ModMPol, RngIntElt, RngIntElt -> RngIntElt
- BettiNumber(X,q) : SmpCpx, RngIntElt -> RngIntElt
- BettiNumbers(M) : ModMPol -> [ RngIntElt ]
- BettiTable(M) : ModMPol -> [[ RngIntElt ]], RngIntElt
- MaximumBettiDegree(M, i) : ModMPol, RngIntElt -> RngIntElt
- SumOfBettiNumbersOfSimpleModules(A, n) : AlgBas, RngIntElt -> RngIntElt

V2.28, 13 July 2023

Magma is maintained and distributed by the Computational Algebra Group, School of Mathematics and Statistics, University of Sydney.