Given a list of sets of monomials, the function converts each set into a monomial ideal.
i1 : n=4; D=2; p=1.0; N=3; |
i5 : B=randomMonomialSets(n,D,p,N); B/print
2 2 2 2
{x , x , x , x , x , x x , x x , x x , x , x x , x x , x , x x , x }
1 2 3 4 1 1 2 1 3 1 4 2 2 3 2 4 3 3 4 4
2 2 2 2
{x , x , x , x , x , x x , x x , x x , x , x x , x x , x , x x , x }
1 2 3 4 1 1 2 1 3 1 4 2 2 3 2 4 3 3 4 4
2 2 2 2
{x , x , x , x , x , x x , x x , x x , x , x x , x x , x , x x , x }
1 2 3 4 1 1 2 1 3 1 4 2 2 3 2 4 3 3 4 4
o6 = {, , }
o6 : List
|
i7 : idealsFromGeneratingSets(B)
o7 = {monomialIdeal (x , x , x , x ), monomialIdeal (x , x , x , x ),
1 2 3 4 1 2 3 4
------------------------------------------------------------------------
monomialIdeal (x , x , x , x )}
1 2 3 4
o7 : List
|
In case the option IncludeZeroIdeals is set to false, the function also counts how many sets are converted to the zero ideal.
The object idealsFromGeneratingSets is a method function with options.