borelFixedStats -- fraction of Borel-fixed monomial ideals in the given list

• Usage:

  borelFixedStats(List)

• Inputs:
  • ideals, a list, of objects of type MonomialIdeal, or any type to which isBorel can be applied
• Optional inputs:
  • Verbose => ..., default value false, optional input to request verbose feedback
• Outputs:
  • a rational number, the fraction of Borel-fixed monomial ideals in the list

i1 : R=ZZ/101[a,b,c];

i2 : ideals = {monomialIdeal"a3", monomialIdeal"a3,b,ac"}

                     3                  3
o2 = {monomialIdeal a , monomialIdeal (a , b, a*c)}

o2 : List

i3 : borelFixedStats(ideals)

     1
o3 = -
     2

o3 : QQ