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MathGroup Archive 2007

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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



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