| 关于凸多边形生成的形状密度的结构与确定 |
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| 引用本文： | 乐惠玲.关于凸多边形生成的形状密度的结构与确定[J].西安交通大学学报,1988(2). |
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| 作者姓名： | 乐惠玲 |
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| 作者单位： | 西安交通大学数学系 |
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| 摘 要： | 本文通过研宄形状密度的奇异网络(?)(K),引入“跳跃函数”的概念,提出了建立形状密度公式的“Stepping-Stone”方法,从而解决了一个具有十多年历史的随机几何问题:已知三角形的顶点是服从独立同在任一紧凸多边形K中均匀分布的随机变量,并被随机地标号,确定诱导出来的形状密度m.
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| 关 键 词： | 几何概率 凸分析 多边形 随机几何 形状密度 |
THE STRUCTURE AND EXPLICIT DETERMINATION OF CONVEX-POLYGONALLY GENERATED SPACE DENSITIES |
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| Le Huilin.THE STRUCTURE AND EXPLICIT DETERMINATION OF CONVEX-POLYGONALLY GENERATED SPACE DENSITIES[J].Journal of Xi'an Jiaotong University,1988(2). |
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| Authors: | Le Huilin |
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| Institution: | Department of Methematics |
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| Abstract: | In this paper, the "jump-functions" is introduced through singularity network (K) of space-densities, and "stepping-stone" method is given for obtaining formulae of space-densities. Therefore a random geometry problem, which has ten years history, is solved. This problem is the structure and explicit determination of convex-polygonally generated space-densities under some conditions. |
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| Keywords: | geometric probability convexity analysis polygons random geometry space-densities |
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