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From: "matias nordin" <matias.nordin@gmail.com>
Newsgroups: comp.soft-sys.matlab
Subject: Re: particle interaction
Date: Fri, 8 Feb 2008 15:31:03 +0000 (UTC)
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> Hmmm, so let f(x) = 0. That's a constant. But 0 would seem
> to be a small value, so that would imply small spacial
distances
> rather than the possibly-large spatial distances you would get
> if you had a small number of particles equidistant in the
interval
> ("the spatial distance between all particles is the same").
> 
> Or let f(x) be -1. That's a constant too. But since f(x) acts
> as a repelling potential, a negative value would imply
attraction,
> which would imply clumping rather than equidistance.
> 
> Recall that you said "say f(x) = sin(x)" and recall that
sin(x)
> can be negative.
> 
> Sooo.. your problem does not yet appear to me to be
well-defined.
> (The plausibility of the half-formed solutions that I have
in mind
> will depend upon how you refine the problem.)
> -- 
>    "Any sufficiently advanced bug is indistinguishable
from a feature."
>    -- Rich Kulawiec



Sorry, what I mean is the following.

Assume you have N particles.
Spread the particles equally on a line (with symmetrical
boundaries).

Then apply a function (some well defined function) that
distorts the distance between the particles. The function is
scaled so that particles don't come too close or too far
apart. So you can choose that "in that area  the particles
are at this distance from each other". So I want this:

equally spread on [1 25] as [1  5  10 15 20]

apply a function --->

not equally spread on [1 25] as for example [1 2 3 15 20].


  Matias