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Re: About Reduce and Mod

  • To: mathgroup at smc.vnet.net
  • Subject: [mg96915] Re: About Reduce and Mod
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Fri, 27 Feb 2009 06:12:26 -0500 (EST)
  • Organization: Uni Leipzig
  • References: <go63mv$psm$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de

Hi,

FullSimplify[
  Reduce[{Mod[x, 5] == Mod[xP, 5], 0 <= xP < 5}, {xP},
   Backsubstitution -> True], Element[x, Reals]]

??

Regards
   Jens

olfa wrote:
> Hi Mathematica community,
> I have this input:   Reduce[{Mod[x, 5] == Mod[xP, 5], 0 <= xP < 5},
> {xP}, Backsubstitution -> True]
> Mathematicas gives me this output:0 <= Re[Mod[x, 5]] < 5 && Im[Mod[x,
> 5]] == 0 && xP == Mod[x, 5]
> 1)but why there is 0 <= Re[Mod[x, 5]] < 5 && Im[Mod[x, 5]] == 0 as
> part of the output ?
> 2) and how could I eliminate it (by adding something in reduce for
> example) because all that I want is only this output xP == Mod[x, 5]?
> 
> thank you very much.
> 


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