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A Measure of Asymmetry for Plane Convex Sets

✍ Scribed by Grunbaum, B.


Book ID
120098366
Publisher
Oxford University Press
Year
1964
Tongue
English
Weight
189 KB
Volume
s1-39
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES


Measure of Asymmetry of Convex Curves
✍ Besicovitch, A. S. πŸ“‚ Article πŸ“… 1948 πŸ› Oxford University Press 🌐 English βš– 95 KB
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We show that in any family \(F\) of \(n \geqslant 5\) convex sets in the plane with pairwise disjoint relative interiors, there are two sets \(A\) and \(B\) such that every line that separates them, separates either \(A\) or \(B\) from at least \((n+28) / 30\) sets in \(F\).

Covering the Plane with Convex Sets
✍ Bambah, R. P.; Rogers, C. A. πŸ“‚ Article πŸ“… 1952 πŸ› Oxford University Press 🌐 English βš– 350 KB