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Average distances between points in a square

Published online by Cambridge University Press:  26 February 2010

L. Few
L. Few
Affiliation:
University College, Gower Street, London, W.C.I.
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Extract

Suppose we have a set of n points P1, …, Pn in a unit square. Let

and let Sn be the upper bound of d1+…dn taken over all positions of P1, …, Pn in the square. We prove that

Information

Type
Research Article
Information
Mathematika , Volume 9 , Issue 2 , December 1962 , pp. 111 - 114
Copyright
Copyright © University College London 1962

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References

† Magyar Tud. Akad. Mat. Fiz. Oszt. Közl, 6 (1956), 185–191.Google Scholar