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Re: Mathematica: Modular arithmetic with nonnumber

• To: mathgroup at smc.vnet.net
• Subject: [mg35151] Re: [mg35144] Mathematica: Modular arithmetic with nonnumber
• From: Andrzej Kozlowski <andrzej at lineone.net>
• Date: Thu, 27 Jun 2002 00:23:12 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Indeed there si a function that does exactly what you want:

In[4]:=
PolynomialMod[11 e[6],7]

Out[4]=
4 e[6]


Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/

On Wednesday, June 26, 2002, at 08:56  AM, Geoff Tims wrote:

> I have a function which takes in and gives out numbers such as
>
> 3e[2] + 3e[4]
>
> In other words, these are integer multiples of basis vectors.  Now, I 
> want
> to be able to take any arbitrary vector mod p, for some prime p.  The
> problem is that if I do
>
> Mod[11e[6],7]
>
> Mathematica sees 11e[6] as a noninteger and thus doesn't do modular
> arithmetic on it.
>
> Is there some way to do this?  One thought I had was to have some 
> function
> which strips 11e[6] down to 11 and then does modular arithmetic.  That 
> would
> be good enough for me because I'm trying to figure out if all values 
> are 0
> or if they are not.  If I end up with a 4 instead of 4e[6], I still 
> know it
> isn't 0.  However, I don't know how to do that and if there's a faster 
> way,
> that would be useful in my program as it might do lots of calculations.
>
> Any help would be wonderful
> Thanks
> Geoff Tims
>
>
>
>
>