D.2.4.9 maxdeg1

Procedure from library poly.lib (see poly_lib).

Usage:

maxdeg1(id[,v]); id=poly/ideal/vector/module/matrix, v=intvec

Return:

integer, maximal [weighted] degree of monomials of id independent of ring ordering, maxdeg1 of i-th variable is v[i] (default: v=1..1).

Note:

This proc returns one integer while maxdeg returns, in general, a matrix of integers. For one polynomial and if no intvec v is given maxdeg is faster

Example:

LIB "poly.lib";
ring r = 0,(x,y,z),wp(1,2,3);
poly f = x+y2+z3;
deg(f);            //deg returns weighted degree (in case of 1 block)!
→ 9
maxdeg1(f);
→ 3
intvec v = ringweights(r);
maxdeg1(f,v);                        //weighted maximal degree
→ 9
matrix m[2][2]=f+x10,1,0,f^2;
maxdeg1(m,v);                        //absolute weighted maximal degree
→ 18