RandomMonomialIdeals : Table of Contents
RandomMonomialIdeals -- A package for generating Erdos-Renyi-type random monomial ideals and variations
bettiStats -- statistics on Betti tables of a sample of monomial ideals or list of objects
borelFixedStats -- fraction of Borel-fixed monomial ideals in the given list
CMStats -- fraction of monomial ideals (or other objects) in the given list whose quotient ring is Cohen-Macaulay
Coefficients -- optional input to choose the coefficients of the ambient polynomial ring
CountPure -- optional input to show the number of objects in the list whose Betti tables are pure
degStats -- statistics on the degrees of a list of objects
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dimStats -- statistics on the Krull dimension of a list of objects
ER -- model for sampling from Erdos-Renyi type distributions on monomials
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ER(ZZ,ZZ,List) -- Graded Erdos-Renyi type distribution on monomials over (n,D,L)
ER(ZZ,ZZ,RR) -- Erdos-Renyi type distribution on monomials over (n,D,p)
ER(ZZ,ZZ,ZZ) -- Erdos-Renyi type distribution on monomials over (n,D,M)
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getData -- get the underlying samples
Histogram -- a summary statistic for a list of objects
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Mean -- a summary statistic for a list of objects
mingenStats -- statistics on the minimal generators of a list of ideals: number and degree complexity
Model -- a type used to store a statistical model and its parameters
model -- creates a new model for random objects with a given list of parameters and generating function
ModelName -- name of the model used to generate a given sample
Parameters -- values of the model parameters that were used to generate a given sample
pdimStats -- statistics on projective dimension of a list of objects
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randomMonomialSet -- randomly generates a list of monomials in fixed number of variables up to a given degree
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randomMonomialSets -- randomly generates lists of monomials in fixed number of variables up to a given degree
regStats -- statistics on the regularities of a list of objects
Sample -- a type used to store a data sample from a statistical model
sample -- generates a sample from the given model
sample(String) -- creates an object of type Sample from a sample stored in a directory on disk
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SaveBettis -- optional input to store all Betti tables computed
ShowTally -- optional input to choose if the tally is to be returned
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StdDev -- a summary statistic for a list of objects
VariableName -- optional input to choose the indexed variable name for the polynomial ring
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