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finding the weighted degree of a polynomial

• To: mathgroup at smc.vnet.net
• Subject: [mg79677] finding the weighted degree of a polynomial
• From: Arnaud Dagnelies <arnaud.dagnelies at gmail.com>
• Date: Wed, 1 Aug 2007 05:13:26 -0400 (EDT)

Let p(x,y) be a polynomial in x,y expressed in its expanded form, i.e.
as a sum of terms as follows:

 p(x,y) = sum   c_ij x^i y^j

I want to find the (a,b)-weighted degree of this polynomial defined as

wdeg(p, {a,b}) = max (ai + bj)   with c_ij != 0

(where a and b are given fixed values)

help is welcome,
thanks

• Follow-Ups:
  • Re: finding the weighted degree of a polynomial
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: finding the weighted degree of a polynomial
    • From: Sseziwa Mukasa <mukasa@jeol.com>
  • Re: finding the weighted degree of a polynomial
    • From: "Arnaud Dagnelies" <arnaud.dagnelies@gmail.com>