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AlexanderProbability -- option to randomSquareFreeStep

Usage:

M = randomSquareFreeStep(L, AlexanderProbability => p)
Inputs:
- p, a real number, real number between 0 and 1.

Description

Controls how often the Alexander dual is taken

i1 : setRandomSeed 1
 -- setting random seed to 1

o1 = 1

i2 : S = ZZ/2[vars(0..3)]

o2 = S

o2 : PolynomialRing

i3 : J = monomialIdeal"ab,ad,bcd"

o3 = monomialIdeal (a*b, a*d, b*c*d)

o3 : MonomialIdeal of S

i4 : first randomSquareFreeStep(J, AlexanderProbability => 1.0)

o4 = monomialIdeal (a*b, a*c, a*d, b*d)

o4 : MonomialIdeal of S

See also

randomSquareFreeStep -- A step in a random walk with uniform distribution over all monomial ideals

Functions with optional argument named AlexanderProbability:

randomSquareFreeStep(...,AlexanderProbability=>...) -- see randomSquareFreeStep -- A step in a random walk with uniform distribution over all monomial ideals

For the programmer

The object AlexanderProbability is a symbol.

The source of this document is in RandomIdeals.m2:971:0.