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Re: why this system cannot be solved!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg118062] Re: why this system cannot be solved!
  • From: Dana DeLouis <dana.del at gmail.com>
  • Date: Mon, 11 Apr 2011 07:05:51 -0400 (EDT)

On Mar 21, 7:18 am, olfa <olfa.mra... at yahoo.fr> wrote:
> Hi Mathematica community,
>
> I've tried to solve the variable xP in this system with Reduce over
> Integers,Reals and Complexe:
> 0 <= xP < a && Mod[x, a] == Mod[xP, a]

> unfortunately it cannot be solved .
>
> the output should be xP==Mod[x,a].

Hi.  Not sure if this helps.
Simplify[ Mod[xP, a], 0<=xP<a]
xP

equ= Mod[xP, a]==Mod[x, a];

Doesn=92t seem to work on the entire equation:
Simplify[equ,0<=xP<a]
Mod[x,a]==Mod[xP,a]

Seems to work on the parts:

Map[Simplify[#,0<=xP<a]&,  equ]
xP==Mod[x,a]

= = = =
Dana DeLouis=


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