Measures of Asymmetry Dual to Mean Minkowski Measures of Asymmetry for Convex Bo dies |
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| Authors: | Yao Dan & Qi Guo |
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| Institution: | Department of Mathematics, Suzhou University of Science and Technology, Suzhou, Jiangsu, 215009 |
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| Abstract: | We introduce a family of measures (functions) of asymmetry for convex bodies and discuss their properties. It turns out that this family of measures shares many nice properties with the mean Minkowski measures. As the mean Minkowski measures describe the symmetry of lower dimensional sections of a convex body, these new measures describe the symmetry of lower dimensional orthogonal projections. |
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| Keywords: | mean Minkowski measure asymmetry symmetry simplex |
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