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Re: euclidean distance question

Subject: Re: euclidean distance question
From: "Van"
Date: 30 Jul 2005 07:57:54 -0700
Newsgroups: sci.math
I think you have to be very careful in talking about things like

"distance between 2 vectors or cells".

If distance is the length of a line, one can only speak of the distance
between 2 points, like the length of the geodesic connecting points
A and B in R^n.

L(A,B) == Int_A^B{ds} == integral of the line element from A to B,
where

ds^2 = g_ij x^i x^j

The distance between 2 vectors or cells are really nonsense phrases
unless you say more.

Van


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