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

Synopsis

Function: ER
Usage:

ER(PolynomialRing,ZZ,RR)
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 => FunctionClosure[/usr/local/share/Macaulay2/RandomMonomialIdeals.m2:139:22-139:46]}
           Name => Erdos-Renyi
                           ZZ
           Parameters => (---[a..d], 4, .1)
                          101

o3 : Model

See also

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

Ways to use this method:

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