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一类特殊网格的几何概率
引用本文:邹明田,李寿贵,陈莉莉.一类特殊网格的几何概率[J].数学杂志,2014,34(2):374-378.
作者姓名:邹明田  李寿贵  陈莉莉
作者单位:武汉科技大学理学院;
基金项目:冶金工业过程系统科学湖北省重点实验项目资助(A201001)
摘    要:本文研究了以正六边形和菱形为基本区域的复合网格中的Buffon问题.利用积分几何理论和运动测度工具,获得了上述复合网格与长针相交的概率表达式,推广了长针与复合网格相交的概率问题.

关 键 词:Buffon问题  积分几何  运动测度
收稿时间:2013/8/25 0:00:00
修稿时间:2013/10/9 0:00:00

A SPECIAL CLASS OF THE GRID GEOMETRIC PROBABILITY
ZOU Ming-tian,LI Shou-gui and CHEN Li-li.A SPECIAL CLASS OF THE GRID GEOMETRIC PROBABILITY[J].Journal of Mathematics,2014,34(2):374-378.
Authors:ZOU Ming-tian  LI Shou-gui and CHEN Li-li
Institution:College of Science, Wuhan University of Science and Technology, Wuhan 430065, China,College of Science, Wuhan University of Science and Technology, Wuhan 430065, China and College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
Abstract:In this paper, we study the Buffon problem on the complicated lattices, of which the basic areas consist of hexagon and diamond. By using the theory of integral geometric and kinematic measuring tools, we obtain the expressions of the probability for a needle intersecting with the bound of the complicated lattices above, which generalize the problem of the probability for a long needle intersecting with the bound of the complicated lattices.
Keywords:Buffon problem  integral geometry  kinematic measure
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