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I want to set up an expression which generates a curve. The curve (vaguely
remembered from 25yo materials science classes) should look like the diffusion
equation in one dimension, or perhaps a Poisson distribution.
The closest thing I can find to it on the web involves a factorial in the
denominator. I'm pretty sure the actual diffusion equation doesn't have a X! in
the denominator, and I guess that povray cannot do X! for fractional values.
But what I want is a curve generally of the shape like so:
http://www.wolframalpha.com/input/?i=%28e^-6.3%29%2810^x%29%2Fx!+from+0+to+15
Looking for something f(0)=0, with a single maximum at medium values, and very
slowly decays back to zero. The actual diffusion equation (as I remember from
long ago) would do that. Like the smell on the opposite side of a room after
you open bottle. (Want it for my flocking formulas).
any tips?
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