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

Synopsis

Function: ER
Usage:

ER(PolynomialRing,ZZ,ZZ)
Inputs:
- R, a polynomial ring, the ring in which monomials are chosen from
- D, an integer, maximum degree
- M, an integer, number of monomials in the set
Outputs:
- an instance of the type Model, Erdos-Renyi type model

Description

Creates an ER-type model for sampling a set of $M$ monomials of degree at most $D$ from the ring $R$.

i1 : D=4; M=5;

i3 : myModel = ER(ZZ/101[a..d],4,5)

o3 = Model{Generate => FunctionClosure[/usr/local/share/Macaulay2/RandomMonomialIdeals.m2:158:20-158:48]}
           Name => Erdos-Renyi
                           ZZ
           Parameters => (---[a..d], 4, 5)
                          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,ZZ) -- Erdos-Renyi type distribution on monomials over (R,D,M)