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different output!!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg96989] different output!!
  • From: olfa <olfa.mraihi at yahoo.fr>
  • Date: Sun, 1 Mar 2009 04:56:01 -0500 (EST)

Hi Mathematica community,
Why output2 (with integers as domain) is different from output1 (with
reals as domain) ?!! I think it should be the same thing.

input1:Reduce[{Mod[x, 5] == Mod[xP, 5], 0 <= xP < 5}, {xP}, Reals,
 Backsubstitution -> True]

output1: 0 <= Mod[x, 5] < 5 && xP == Mod[x, 5]

input2:Reduce[{Mod[x, 5] == Mod[xP, 5], 0 <= xP < 5}, {xP}, Integers,
 Backsubstitution -> True]

output2: (Mod[x, 5] == 0 && xP == 0) || (Mod[x, 5] == 1 &&
   xP == 1) || (Mod[x, 5] == 2 && xP == 2) || (Mod[x, 5] == 3 &&
   xP == 3) || (Mod[x, 5] == 4 && xP ==
4)


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