Inequalities involving two simplexes (Q1775243)
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scientific article; zbMATH DE number 2165801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities involving two simplexes |
scientific article; zbMATH DE number 2165801 |
Statements
Inequalities involving two simplexes (English)
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6 May 2005
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The author establishes some inequalities referring to two simplices in Euclidean \(n\)-space. These inequalities compare products of edge-lengths, volumes, circumradii and certain combinatorial quantities (also depending on these simplices), and the equality cases for \(n> 3\) are obtained precisely for pairs of regular simplices.
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simplex
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volume
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(product of) edge-lengths
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circumradius
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tetrahedra
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isosceles tetrahedra
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regular simplex
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