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sorting polynomials by the degree of certain terms

• To: mathgroup at smc.vnet.net
• Subject: [mg49202] sorting polynomials by the degree of certain terms
• From: hessing at gmail.com (David Hessing)
• Date: Wed, 7 Jul 2004 01:42:41 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

I dealing with huge polynomials (around 50,000 terms). Each term may
contain some real coefficient, followed by any combination of 11
variables, each of which may be raised to some some power. However,
I'm interested in sorting the polynomial according to the sum of the
degrees of only 2 of the variables. In other words, in the sorted
expression, the first terms would be those where the two variables do
not appear (the sum of their powers is zero). The next terms would be
the terms where one of the two variables appeared raised to the power
1. The next terms would be the terms where both variables appeared
with power 1, or just one of the variables appeared with power 2. And
so on.

I've played with passing the expression to the Sort function, along
with a defined sorting function, but I can't get it to work. Any help
would be greatly appreciated.

-David

• Follow-Ups:
  • Re: sorting polynomials by the degree of certain terms
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: sorting polynomials by the degree of certain terms
    • From: Daniel Lichtblau <danl@wolfram.com>