R^3上相交线偶与凸体相交的几何概率问题 |
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引用本文: | 范媛媛.R^3上相交线偶与凸体相交的几何概率问题[J].滁州师专学报,2009(6):98-100. |
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作者姓名: | 范媛媛 |
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作者单位: | 滁州学院数学系,安徽滁州239012 |
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基金项目: | 基金项目:滁州学院自然科学项目(2008kj015B) |
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摘 要: | 利用在平面中建立的凸体的双弦幂积分理论,研究了空间中凸体的双弦幂积分的一些性质,并在此基础上,讨论了空间上相交线偶与凸体相交这一几何概率问题。
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关 键 词: | 凸体 线偶 运动测度 几何概率 |
A Problem of Geometric Probability for the Intersection of Pairs of Lines Intersecting A Convex Body in R3 |
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Authors: | FAN Yuanyuan |
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Institution: | FAN Yuanyuan(Dept. of Math, Chuzhou University, Chuzhou 239012, China) |
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Abstract: | In this paper, we study some properties of double chord-power integrals of a convex body in R^3 by using the theory of double chord-power integrals of a convex body in. Also,on this foundation,the geometric probability that the intersection of pairs of lines intersecting a convex body in R^3 is discussed. |
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Keywords: | convex body pairs of lines kinematic measure geometric probability |
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