| 凸体迷向条件的等价性 |
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| 引用本文： | 陈巧云,何斌吾. 凸体迷向条件的等价性[J]. 上海大学学报(自然科学版), 2006, 12(5): 481-483 |
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| 作者姓名： | 陈巧云 何斌吾 |
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| 作者单位： | 1. 上海大学,理学院,上海,200444;丽水学院,数学系,丽水,323000
2. 上海大学,理学院,上海,200444 |
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| 摘 要： | 设K是Rn中体积为1,质心在原点的凸体,若K对任意轴都有相同的惯量矩,则称K为迷向体.该文给出了判定K为迷向体的4个条件的等价性证明.
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| 关 键 词： | 凸体 迷向体 迷向常数 |
| 文章编号： | 1007-2861(2006)05-0481-03 |
| 修稿时间： | 2005-10-10 |
Equivalence of Isotropic Conditions for Convex Bodies |
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| CHEN Qiao-yun,HE Bin-wu. Equivalence of Isotropic Conditions for Convex Bodies[J]. Journal of Shanghai University(Natural Science), 2006, 12(5): 481-483 |
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| Authors: | CHEN Qiao-yun HE Bin-wu |
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| Abstract: | Assume that K is a convex body in R~n,with volume |K|=1,and center of mass at the origin.If K has the same moments of inertia with respect to every axis,then K is called an isotropic body.Proofs of some equivalence conditions to define K as an isotropic body are given. |
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| Keywords: | convex body isotropic body isotropic constant |
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