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RandomMonomialIdeals :: ER(PolynomialRing,ZZ,RR)

ER(PolynomialRing,ZZ,RR) -- Erdos-Renyi type distribution on monomials over (R,D,p)

Synopsis

Usage:

ER(PolynomialRing,ZZ,RR)
Function: ER
Inputs:
- R, a polynomial ring, the ring in which monomials are chosen from
- D, an integer, maximum degree
- p, a real number, the probability of selecting a monomial
Outputs:
- an instance of the type Model, Erdos-Renyi type model

Description

Creates an ER-type model for sampling monomials of degree at most D from the ring R independently with probability p.

i1 : D=4; p=0.1;

i3 : myModel = ER(ZZ/101[a..d],D,p)

o3 = Model{Generate => -*Function[/usr/share/Macaulay2/RandomMonomialIdeals.m2:138:23-138:47]*-}
           Name => Erdos-Renyi
                           ZZ
           Parameters => (---[a, b, c, d], 4, .1)
                          101

o3 : Model

See also

randomMonomialSets -- randomly generates lists of monomials in fixed number of variables up to a given degree