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Three More Learning Points
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Let p1, p2, p3 be three noncollinear points in the plane, and let P be a set of n other points in the plane. We show that the number of distinct distances between p1, p2, p3 and the points of P is Ω(n), improving the lower bound Ω(n) of Elekes and Szabó [4] (and considerably simplifying the analysis).
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ژورنال
عنوان ژورنال: PLoS Medicine
سال: 2005
ISSN: 1549-1676
DOI: 10.1371/journal.pmed.0020030