Maybe this helps. If the radius of the set of points is r , and assuming
random distribution of points.
The average shortest distance between points in r/(2*sqrt(n)).

Sumeet Dua.


"John Garber" <[EMAIL PROTECTED]> wrote in message
[EMAIL PROTECTED]">news:[EMAIL PROTECTED]...
> I am looking for a solution of the following problem:
> Assume a square area with sides of length L. N points are randomly
distributed
>  within area. The location of each point is independent of other points.
> The location of a point is a uniform random variable - a point is
> equally likely to be anywhere within the square.
>
> Find the expected value of the distance from a randomly selected
> point to its nearest neighbor.
>
> Thanks, John Gerber




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