Generalized averages of section and projection functions (Q846217)
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scientific article; zbMATH DE number 5665305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized averages of section and projection functions |
scientific article; zbMATH DE number 5665305 |
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Generalized averages of section and projection functions (English)
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2 February 2010
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A star-body in Euclidean \(d\)-space \(E^d\) is a compact set which is star-shaped with respect to the origin, contains the origin as an interior point, and has continuous radial function. In this paper the authors show that a star-body \(K\) in \(E^d\) is uniquely determined by some generalized averages of some section or projection functions.
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star body, average section function
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average projection function
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0.8725492358207703
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0.851125955581665
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0.8461173176765442
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