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About Reduce and domains

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98577] About Reduce and domains
  • From: olfa <olfa.mraihi at yahoo.fr>
  • Date: Mon, 13 Apr 2009 03:34:05 -0400 (EDT)

Hi Mathematica community,


I remarqued in many outputs with reduce, that mathematica treats some
parameters as complexe numbers and consequently distinguich between Re
part and Im part:
 For example:
(Re[d]<0&&Re[a]<0&& ...) || (Re[d]<0&&Re[a]==0&&Im[a]<0&& ...) || (Re
[d]<0&&Re[a]==0&&Im[a]>0&&...) || (Re[d]<0&&Re[a]>0&&...) || (Re[d]
==0&&Im[d]<0&&Re[a]<0&&...) ||...

In the help I have read that Reduce[expr,vars] assumes by default that
quantities appearing algebraically in inequalities are real, while all
other quantities are complex.

But is there a mean to force mathematica in the way that it does not
distinguich between real part and imaginary part in the output and
consequently to have: d<0 && a<0 ...|| d==0 && a>0 || ...without
specifying a domain which means without Reduce[expr,vars,doms]?



Thank you very much.


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