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Spanned k-supporting hyperplanes of finite sets in Rd

✍ Scribed by Yaakov S. Kupitz


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
907 KB
Volume
65
Category
Article
ISSN
0097-3165

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On the distribution of distances in fini
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Let n k denote the number of times the kth largest distance occurs among a set S of n points. We show that if S is the set of vertices of a convex polygone in the euclidean plane, then n1+2n2~3n and n2<~n +n 1. Together with the well-known inequality n~<~n and the trivial inequalities n~>~O and n2>~