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 Mean Distance Two Points (Posted on 2013-06-01)
[1] What is the mean distance between two random points on the perimeter of a unit square?

[2] What is the mean distance between two random points on the interior of a unit square?

 No Solution Yet Submitted by Danish Ahmed Khan No Rating

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 re(2): Part 2 in two different ways. | Comment 5 of 8 |
(In reply to re: Part 2 in two different ways. by Charlie)

In case this helps, here's a breakdown of the distances involved and how many times they occur in the summation for the case n=4:

`increment    number ofdifferences occurrences      length0  0          16            00  1          48            .250  2          32            .50  3          16            .751  1          36            .35355339059327381  2          48            .55901699437494751  3          24            .79056941504209492  2          16            .70710678118654762  3          16            .90138781886599733  3          4             1.060660171779821`

 Posted by Charlie on 2013-06-02 11:05:45

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