Integral distances
نویسندگان
چکیده
منابع مشابه
Note on Integral Distances
A planar point set S is called an integral set if all the distances between the elements of S are integers. We prove that any integral set contains many collinear points or the minimum distance should be relatively large if |S| is large.
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We study the blocks of interpoint distances, their distributions, correlations, independence and the homogeneity of their total variances. We discuss the exact and asymptotic distribution of the interpoint distances and their average under three models and provide connections between the correlation of interpoint distances with their vector correlation and test of sphericity. We discuss testing...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1945
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1945-08490-0