D.6.1.23 power_products

Procedure from library finvar.lib (see finvar_lib).

Usage:

power_products(dv,d);
dv: an <intvec> giving the degrees of homogeneous polynomials, d: the degree of the desired power products

Return:

a size(dv)*m <intmat> where each column ought to be interpreted as containing the exponents of the corresponding polynomials. The product of the powers is then homogeneous of degree d.

Example:

LIB "finvar.lib";
intvec dv=5,5,5,10,10;
print(power_products(dv,10));
→      2     1     1     0     0     0     0     0
→      0     1     0     2     1     0     0     0
→      0     0     1     0     1     2     0     0
→      0     0     0     0     0     0     1     0
→      0     0     0     0     0     0     0     1
print(power_products(dv,7));
→      0
→      0
→      0
→      0
→      0