The John Theorem for Simplex

Details The John Theorem for Simplex The John Theorem for Simplex

2010-01-24

arxiv.org/abs/1001.4223v1

J.Shanghai University, 2006, 10(6):487-490

Mathematics

Combinatorics

8 pages

Scientific paper

In this paper, we give a description of the John contact points of a regular
simplex. We prove that the John ellipsoid of any simplex is ball if and only if
this simplex is regular and that the John ellipsoid of a regular simplex is its
inscribed ball.

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