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, a tally,

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 0.505714s (cpu); 0.340609s (thread); 0s (gc)
 -- used 0.183512s (cpu); 0.118262s (thread); 0s (gc)
 -- used 9.8837e-05s (cpu); 1.789e-06s (thread); 0s (gc)
2
Tally{{{2, 2}, {1, 2}} => 3}

3
Tally{{{2, 2}, {1, 2}} => 1}

4
Tally{}

Ways to use sumTwoMonomials:

sumTwoMonomials(ZZ,ZZ)

For the programmer

The object sumTwoMonomials is a method function.

sumTwoMonomials -- tally the sequences of BRanks for certain examples

Synopsis

Description

See also

Ways to use sumTwoMonomials:

For the programmer