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Article #539135

Re: Viatron

#539135
From: John Savard
Date: Sat, 06 Jul 2013 17:30
21 lines
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On Fri, 05 Jul 2013 16:57:58 -0400, Shmuel (Seymour J.) Metz
<spamtrap@library.lspace.org.invalid> wrote, in part:

>The analogy is bogus; matrices are not constrained to be numeric.

Hmm. Matrices, as I'm thinking about them, are a next step up from
things like complex numbers and quaternions. They are no longer a
division algebra, since not every matrix has an inverse.

Since operations can be performed with matrices, and they behave like
numbers (thus, one can define the sine of a matrix by using the Taylor
series for sine, if one is so disposed) something for which operations
are not defined - such as an array or a character string - can't be an
element of a matrix.

This is not to say that one couldn't define, say, a matrix of sets, say
by calling union addition and intersection multiplication, but that's
another matter.

John Savard
http://www.quadibloc.com/index.html
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From: jsavard@excxn.aNOSPAMb.cdn.invalid (John Savard)
Newsgroups: alt.folklore.computers
Subject: Re: Viatron
Date: Sat, 06 Jul 2013 17:30:40 GMT
Organization: A noiseless patient Spider
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