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D.13.6.16 initialForm

Procedure from library tropical.lib (see tropical_lib).

Usage:
initialForm(f,w); f a polynomial, w an integer vector

Assume:
f is a polynomial in Q[x_1,...,x_n] and w=(w_1,...,w_n)

Return:
poly, the initial form of f(x) w.r.t. w

Note:
the initialForm consists of the terms with MAXIMAL weighted order w.r.t. w

Example:
 
LIB "tropical.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
ring r=0,(x,y),dp;
poly f=x3+y2-xy+x-1;
intvec w=2,3;
initialForm(f,w);
==> x3+y2