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On the Sobolev distance of convex bodies

✍ Scribed by Randolf Arnold; Andreas Wellerding


Publisher
Springer
Year
1992
Tongue
English
Weight
483 KB
Volume
44
Category
Article
ISSN
0001-9054

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On the multimodality of distances in con
✍ David Avis; Godfried T. Toussaint; Binay K. Bhattacharya πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 264 KB

Examples are given of n vertex convex polygons for which the distances between a fixed vertex and the remaining vertices, visited in order, form a multi-modal function. We show that this function may have as many as n/2 modes, or local maxima. Further examples are given of n vertex convex polygons i