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Re: Evaluation and replacement?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42730] Re: Evaluation and replacement?
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Wed, 23 Jul 2003 00:25:23 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <beln4d$gm0$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <beln4d$gm0$1 at smc.vnet.net>,
 "AngleWyrm" <no_spam_anglewyrm at hotmail.com> wrote:

> Given a quantity 20m, and a rule 10m->9m+n, how can I get the result 18m+2n?
> 
> ( m doesn't equal n; 10m degenerates into 9m + n. 9m doesn't degenerate into
> 8m+n.)

Generalizing your question slightly (replacing the m on the left-hand 
side m^2), here is a simple and general way to achieve what you want:

  Last[PolynomialReduce[20 m^2, {10 m^2 - (9m + n)}, {m, n}]]

  18 m + 2 n

Cheers,
Paul

-- 
Paul Abbott                                   Phone: +61 8 9380 2734
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