Central points for sets in \(\mathbb{R}^ n\) (or: the chocolate ice-cream problem) (Q1913696)
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scientific article; zbMATH DE number 881738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Central points for sets in \(\mathbb{R}^ n\) (or: the chocolate ice-cream problem) |
scientific article; zbMATH DE number 881738 |
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Central points for sets in \(\mathbb{R}^ n\) (or: the chocolate ice-cream problem) (English)
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29 July 1996
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Let \(A\) be a measurable subset of the unit ball \(\mathbb{B}\) in \(\mathbb{R}^n\) and let \(r \in [0,1]\) be a real number. The main problem studied and solved in this paper can roughly be formulated as follows: find a point \(x\) for which the intersection of the \(r\)-neighborhood of \(x\) with \(A\) is ``large''. Related questions are also raised and answered.
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central points
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0.713452160358429
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0.713417112827301
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