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DTSTART;VALUE=DATE:20130604T171500
DTEND;VALUE=DATE:20130604T171500
UID:5675@agenda.unifr.ch
DESCRIPTION:The product of all $N(N - 1)/2$ possible distances for a collection of $N$ points on the circle is maximized when the points are (up to rotation) the $N$--th roots of unity.\nThere is an elegant elementary proof of this fact. In higher dimensions the problem becomes much more complicated. For example, if the points are restricted to the unit sphere in 3--space, the result is known\nfor $N = 1-6$, and 12. We will derive a characterization theorem for the stationary points in $d$--space and illustrate it with a couple of examples of optimal configurations that are new in the literature.
SUMMARY:Peter Dragnev (Indiana-Purdue University, Fort Wayne): Characterizing stationary logarithmic points
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5675
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