On partitions of \(\mathbb E^n\) (Q1137041)
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scientific article; zbMATH DE number 3666811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On partitions of \(\mathbb E^n\) |
scientific article; zbMATH DE number 3666811 |
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On partitions of \(\mathbb E^n\) (English)
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1980
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We quote the main theorem: Fr all partitions of Euclidean \(n\)-space \(\mathbb E^n\) into finitely many classes, some class contains, for all \(\alpha>0\) and sets of lines \(L_1, L_2,\dots, L_n\) which span \(\mathbb E^n\), a simplex having volume \(\alpha\) and edges through one vertex parallel to the \(L_i\).
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partitions of Euclidean \(n\)-space
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Ramsey subset
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0.9032444
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0.8941833
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0.89320636
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0.8931105
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