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Newsgroups: sci.math
From: "Klueless" <kluel...@worldnet.att.net>
Date: Mon, 13 Nov 2006 16:42:20 GMT
Local: Tues, Nov 14 2006 3:42 am
Subject: Re: Infinite system of linear equations
"Jules" <julianro...@gmail.com> wrote in message news:1163398359.617744.163980@k70g2000cwa.googlegroups.com... This is a discrete form of an integral equation. Viewing > We wish to find a sequence {a_j} of reals so that the > sum as j goes from 1 to infinity of b_(i, j) * a_j = c_i for each i. > This is, in some sense, a collection of countably-many linear equations > in countably-many variables. a(j), b(i,j), c(i) as step functions in i, j, you see you are solving Int(b(i,j)*a(j),j=0..infinity) = c(i) for the unknown function a(j). <http://en.wikipedia.org/wiki/Integral_equation> You must Sign in before you can post messages.
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