Re: The seven step-Mathematical preliminaries

From: russell standish <lists.domain.name.hidden>
Date: Sun, 7 Jun 2009 17:45:12 +1000

On Sat, Jun 06, 2009 at 10:22:11AM -0700, Brent Meeker wrote:
> I wonder if anyone has tried work with a theory of finite numbers: where
> BIGGEST+1=BIGGEST or BIGGEST+1=-BIGGEST as in some computers?
>
> Brent
>

The numbers {0,...,p-1} with p prime, and addition and multiplication
given modulo p (ie

a plus b = (a+b) mod p
a times b = (ab) mod p

)

is an interesting mathematical object known as a finite field (or
Galois field) -
http://en.wikipedia.org/wiki/Finite_field

Interesting examples of infinite fields are those quite familiar to
you: rational, real and complex numbers.

It might make sense for Torgny to work with a Galois field for some
large but unnamed prime :)

Cheers

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Received on Sun Jun 07 2009 - 17:45:12 PDT