Das Umkugelproblem und lineare semiinfinite Optimierung. (The circumsphere problem and linear semifinite optimization) (Q581845)
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scientific article; zbMATH DE number 4129536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Das Umkugelproblem und lineare semiinfinite Optimierung. (The circumsphere problem and linear semifinite optimization) |
scientific article; zbMATH DE number 4129536 |
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Das Umkugelproblem und lineare semiinfinite Optimierung. (The circumsphere problem and linear semifinite optimization) (English)
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1989
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Given a bounded pointset (in n-dimensional space) determine inequalities relating the radius R of the smallest ball covering A and the diameter of A. The author considers this as a linear semiinfinite optimization problem, and deduces Jungs inequality. He also considers a similar problem with the points restricted to the surface of a hemisphere. The method has application to other problems of this sort.
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ball covering
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linear semiinfinite optimization
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Jungs inequality
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