| 高斯迷向凸体 |
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| 引用本文： | 王雷,何斌吾. 高斯迷向凸体[J]. 上海大学学报(自然科学版), 2011, 17(3): 266-269. DOI: 10.3969/j.issn.1007-2861.2011.03.010 |
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| 作者姓名： | 王雷 何斌吾 |
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| 作者单位： | 上海大学 理学院,上海 200444 |
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| 基金项目： | 国家自然科学基金资助项目(11071156) |
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| 摘 要： | 给出高斯迷向凸体和高斯迷向常数的定义,证明高斯迷向凸体的存在性和正交不变性等.另外,通过对单位体积球体和方体的高斯迷向常数进行计算,发现其具有与Lebesgue测度下凸体迷向常数变化相反的性质.
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| 关 键 词： | 高斯测度 迷向常数 凸体 |
| 收稿时间： | 2009-12-25 |
Gaussian Isotropic Convex Bodies |
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| WANG Lei,HE Bin-wu. Gaussian Isotropic Convex Bodies[J]. Journal of Shanghai University(Natural Science), 2011, 17(3): 266-269. DOI: 10.3969/j.issn.1007-2861.2011.03.010 |
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| Authors: | WANG Lei HE Bin-wu |
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| Affiliation: | College of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | Gaussian isotropic bodies and Gaussian isotropic constants were defined,and the existence and orthogonal invariability of Gaussian isotropic bodies were proved.By calculating the Gaussian isotropic constants of a ball and a cube,both with unit volume,we show that changes in the Gaussian isotropic constants in the Gaussian measure are opposite to those in the Lebesgue measure. |
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| Keywords: | convex body Gaussian measure isotropic constant |
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