Hitting simplices with points in \(\mathbb R^{3}\) (Q603863)
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scientific article; zbMATH DE number 5813751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hitting simplices with points in \(\mathbb R^{3}\) |
scientific article; zbMATH DE number 5813751 |
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Hitting simplices with points in \(\mathbb R^{3}\) (English)
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8 November 2010
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It is obtained that for a set \(P\) of \(n\) points in \(\mathbb{R}^3\) there exists a point contained in at least \(0.00227n^4\) simplices spanned by vertices from \(P\). The authors claim that the factor of \(0.00227\) improves the previously known estimate by a factor of 1.4.
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discrete geometry
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selection lemma
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simplex
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0.8702329
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0.8657112
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0.8554826
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0.8533416
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