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Properties of Axial Diameters of a Simplex

โœ Scribed by Mikhail Nevskii


Publisher
Springer
Year
2011
Tongue
English
Weight
460 KB
Volume
46
Category
Article
ISSN
0179-5376

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๐Ÿ“œ SIMILAR VOLUMES


Covering Properties of Simplexes
โœ A. Idzik; K.K. Tan ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

Simple proofs of four theorems of \(\mathbf{K y}\) Fan on covering of simplexes by closed sets are presented. Open versions and reformulations of these theorems are also given. 1993 Academic Press, Inc.

Some characterizing properties of the si
โœ Horst Martini ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 258 KB

We shall prove that a convex body in R d (d/> 2) is a simplex if, and only if, each of its Steiner symmetrals is a convex double cone over the symmetrization space or, equivalently, has exactly two extreme points outside of this hyperplane. In I-3] it is shown that every Steiner symmetral of an arbi