# sumTwoMonomials -- tally the sequences of BRanks for certain examples

## Synopsis

• Usage:
sumTwoMonomials(c,d)
• Inputs:
• c, an integer, codimension in which to work
• d, an integer, degree of the monomials to take
• Outputs:
• T, ,

## Description

tallies the sequences of B-ranks that occur for sums of pairs of monomials in R = S/(d-th powers of the variables), with full complexity (=c); that is, for an appropriate syzygy M of M0 = R/(m1+m2) where m1 and m2 are monomials of the same degree.

 i1 : setRandomSeed 0 o1 = 0 i2 : sumTwoMonomials(2,3) -- used 0.714317 seconds 2 Tally{{{2, 2}, {1, 2}} => 3} -- used 0.224323 seconds 3 Tally{{{2, 2}, {1, 2}} => 1} -- used 1.868e-6 seconds 4 Tally{}