一类几何概率问题的求解
A Research on The Problem of Geometric Probability
杨琴1
作者信息
- 1. 江苏泰州师范高等专科学校数理系,江苏泰州225300
- 折叠
摘要
本文利用积分几何的基本公式,分别计算圆内随机一点形成的星形凸集包含于圆的概率、以圆内随机两点所在线段为直径的圆包含于圆的概率以及圆内随机三点的外接圆包含于圆的概率.本文涉及到若干非常难以计算的积分.
Abstract
By using the fundamental formula of integral geometry,this paper obtains the probability that star-convex set formed by the random point within a circle is included in the circle,the probability that the circle whose diameter formed by two random points within a circle is included in the circle,and the probability that the circumcircle formed by three ramdom points within a circle is included in the circle.This paper involves some integral problems that are calculated very difficultly.
关键词
几何概率/积分几何/测度Key words
geometric probability/integral geometry/measure引用本文复制引用
出版年
2011
NETL
NSTL
维普
万方数据