| 赋值函数与Crofton 公式 |
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| 引用本文： | 陈方维.赋值函数与Crofton 公式[J].贵州教育学院学报,2010,26(3). |
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| 作者姓名： | 陈方维 |
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| 作者单位： | 贵州财经学院数统分院,贵州,贵阳,550004 |
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| 摘 要： | 主要运用Rn中凸体上的赋值函数理论研究了Rn中凸体K的内蕴体积和K与Rn中k维平面的交的内蕴体积之间的关系,推广了经典的Crofton 公式.
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| 关 键 词： | 赋值函数 内蕴体积 Crofton公式 |
Valuation and Crofton formula |
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| CHEN Fang-wei.Valuation and Crofton formula[J].Journal of Guizhou Educational College(Social Science Edition),2010,26(3). |
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| Authors: | CHEN Fang-wei |
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| Institution: | CHEN Fang-wei(School of Mathematic and Statistics,Guizhou College of Finance and Economics,Guiyang,Guizhou 550004) |
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| Abstract: | In this paper,we investigate the relations between the convex body and the intersection of the body with the k-dim plane of Rn by using the method of valuation defined on convex body.We obtain the generalized Crofton formula. |
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| Keywords: | Valuation intrinsic volume Crofton formula |
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