Re: Summation Question
From: Lynn Kurtz (kurtzDELETE-THIS_at_asu.edu)
Date: 03/22/05
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Date: Tue, 22 Mar 2005 17:44:52 GMT
On Tue, 22 Mar 2005 16:34:10 +0000, Adam Hartshorne
<oracle3001@yahoo.com> wrote:
>Hi All,
>
>Now I am not a mathemation so people go easy. Now I know that if you
>have say the summation from x=0 to i of (A + B) you can turn that into
>the sum of A + the sum of B.
>
>However I have summation (A*B). I was wonder what if any rules there are
>to manipulate/split this summation up. A web link to some college maths
>page would be much appreciated, as I can't find any help on the web.
>
>Adam
There isn't any way I know of to simplify sum[1=1..n](A_i*B_i) and get
anything like:
sum(terms involving just A_i) + sum(terms involving just B_i).
If you were, for example, just summing 3 terms that would be the dot
product of two vectors A = < a1, a2, a3 > and B = < b1, b2, b3 > and
it could be written as | A | * | B | cos (theta). That also
generalizes to higher dimensions but somehow I don't think it is what
you are looking for.
Good luck.
--Lynn
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