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Replacement equivalence?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63218] Replacement equivalence?
  • From: carlos at colorado.edu
  • Date: Mon, 19 Dec 2005 07:01:14 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

This is a spinoff of an ongoing thread in s.m.s.  Could the nonlinear
replacement

                           b^2 -> 1

be changed to the linear one

                           b-> 1||-1

Similarly
             x^4 -> 16     to    x ->  2||-2||2*I||-2*I

Any possible side effects?


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