Radons Theorem

Radons Theorem

Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1313-5391-8
Объём: 108 страниц
Масса: 184 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

High Quality Content by WIKIPEDIA articles! In geometry, Radon's theorem on convex sets, named after Johann Radon, states that any set of d + 2 points in Rd can be partitioned into two (disjoint) sets whose convex hulls intersect. A point in the intersection of these hulls is called a Radon point of the set. For example, in the case d = 2, any set of four points in the Euclidean plane can be partitioned in one of two ways. It may form a triple and a singleton, where the convex hull of the triple (a triangle) contains the singleton; alternatively, it may form two pairs of points that form the endpoints of two intersecting line segments.

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