# ShowTally -- optional input to choose if the tally is to be returned

## Description

If ShowTally => false (the default value), then only the 2 basic statistics - mean and standard deviation - of the function will be returned. If ShowTally => true, then both the statistics and the tally will be returned.

 i1 : R=ZZ/101[a,b,c]; i2 : ideals = {monomialIdeal"a3,b,c2", monomialIdeal"a3,b,ac"} 3 2 3 o2 = {monomialIdeal (a , b, c ), monomialIdeal (a , b, a*c)} o2 : List i3 : dimStats(ideals) o3 = (.5, .5) o3 : Sequence i4 : mingenStats(ideals) o4 = (3, 0, 3, 0) o4 : Sequence

In order to view the tally, ShowTally must be set to true (ShowTally => true) when the function is called:

 i5 : degStats(ideals) o5 = (3.5, 2.5) o5 : Sequence i6 : pdimStats(ideals) o6 = (3, 0) o6 : Sequence i7 : dimStats(ideals,ShowTally=>true) o7 = (.5, .5, Tally{0 => 1}) 1 => 1 o7 : Sequence i8 : mingenStats(ideals,ShowTally=>true) o8 = (3, 0, Tally{3 => 2}, 3, 0, Tally{3 => 2}) o8 : Sequence i9 : degStats(ideals,ShowTally=>true) o9 = (3.5, 2.5, Tally{1 => 1}) 6 => 1 o9 : Sequence

• dimStats -- statistics on the Krull dimension of a list of objects
• mingenStats -- statistics on the minimal generators of a list of ideals: number and degree complexity
• degStats -- statistics on the degrees of a list of objects
• regStats -- statistics on the regularities of a list of objects
• pdimStats -- statistics on projective dimension of a list of objects

## Functions with optional argument named ShowTally :

• "degStats(...,ShowTally=>...)"
• "dimStats(...,ShowTally=>...)"
• "mingenStats(...,ShowTally=>...)"
• "pdimStats(...,ShowTally=>...)"
• "regStats(...,ShowTally=>...)"

## For the programmer

The object ShowTally is .