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RandomMonomialIdeals :: ER(ZZ,ZZ,RR)

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

Synopsis

Function: ER
Usage:

ER(ZZ,ZZ,RR)
Inputs:
- n, an integer, number of variables
- 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 in $n$ variables of degree at most $D$ independently with probability $p$.

i1 : n=3; D=4; p=0.1;

i4 : myModel = ER(n,D,p)

o4 = Model{Generate => -*Function[/usr/share/Macaulay2/RandomMonomialIdeals.m2:130:23-130:47]*-}
           Name => Erdos-Renyi
           Parameters => (3, 4, .1)

o4 : 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(ZZ,ZZ,RR) -- Erdos-Renyi type distribution on monomials over (n,D,p)