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Re: Algebraic substitutions. HOW?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg17698] Re: [mg17646] Algebraic substitutions. HOW?
  • From: "Andrzej Kozlowski" <andrzej at tuins.ac.jp>
  • Date: Fri, 21 May 1999 23:59:09 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

As long as your expressions involve only polynaomials and rational functions
you can do this easily with PolynaomialReduce

In[2]:=
PolynomialReduce[(a/b)^2,c*b-a][[2]]
Out[2]=
 2
c

In[3]:=
PolynomialReduce[h^3/t^2,z*t^2-h^2][[2]]
Out[3]=
h z

--
Andrzej Kozlowski
Toyama International University
JAPAN
http://sigma.tuins.ac.jp
http://eri2.tuins.ac.jp


----------
>From: Alessio Massaro <alessio at mail.cern.ch>
To: mathgroup at smc.vnet.net
>To: mathgroup at smc.vnet.net
>Subject: [mg17698] [mg17646] Algebraic substitutions. HOW?
>Date: Fri, May 21, 1999, 4:37 PM
>

> Hi,
>
> say I have an expression like (a^2)/(b^2) and I want to change it by
> introducing c:=a/b in order to obtain c^2.
>
> Euivalent exaple: h^3/t^2 -> (z:=h^2/t^2) -> z*h
>
> How do I get Mathematica to perform this kind of algebraic
> substitutions (on complex formulas)?
>
> Thanks
> Alessio
>
> ------------------------------
> Alessio Massaro
> IT/ASD/DB Off. 31-3-013
> CERN
> 1211 Geneva 23
> Switzerland
> ------------------------------
> 


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