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Re: Working modulo 2

  • To: mathgroup at smc.vnet.net
  • Subject: [mg92120] Re: Working modulo 2
  • From: Peter Pein <petsie at dordos.net>
  • Date: Sat, 20 Sep 2008 05:01:27 -0400 (EDT)
  • References: <gavt0g$g4u$1@smc.vnet.net>

me13013 schrieb:
> Howdy,
> 
> How does one reduce a polynomial's coefficients modulo 2?  For
> example, I have a function that sums several polynomials, and
> currently produces a result like this:
>   7 + x + 4 y + 4 x y + 3 z + 2 x z + 4 y z + 4 x y z
> I want to reduce this to
>   1 + x + z
> 
> I thought I might be able to do this by somehow coercing the terms
> into a list and then doing Sum[L[[i]],{i,1,Length[L]},Modulus->2], but
> no such luck.
> 
> Any ideas?
> 
> Thanks,
> Bob H
> 

Hi Bob,

ReplaceAll is what you need:

7+x+4 y+4 x y+3 z+2 x z+4 y z+4 x y /.i_Integer:>Mod[i,2]
1+x+z

Peter


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