The log-Minkowski measure of asymmetry for convex bodies (Q1622884)
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scientific article; zbMATH DE number 6982054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The log-Minkowski measure of asymmetry for convex bodies |
scientific article; zbMATH DE number 6982054 |
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The log-Minkowski measure of asymmetry for convex bodies (English)
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21 November 2018
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The author introduces a measure of asymmetry for planar convex bodies in terms of the log-mixed volume, presents its generic properties, and proves that it takes values between \(1\) (symmetry) and \(2\) (triangles). Several extensions are deduced.
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measure of asymmetry
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mixed volume
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Brunn-Minkowski inequality
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Minkowski inequality
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