摘要
本文研究了正三棱柱有界网格的Bufon投针问题.利用限弦函数和限弦投影函数两个工具,获得了正三棱柱运动测度的具体表达式及一个新的几何概率结果.
This paper use the tools of restricted chord function and the restricted chord projection function, to solve the Buffon needle problem in Regular Tri-prism for one kind of Bounded Lattices. Individual expressions for the kinematic measure for Regular Tri-prism and a new conclusion for geometric probability are established.
出处
《数学杂志》
CSCD
北大核心
2013年第5期887-890,共4页
Journal of Mathematics
基金
武汉科技大学冶金工业过程系统科学湖北省重点实验室开放基金资助项目(C201005)
关键词
几何概率
积分几何
随机线段
运动测度
geometric probability
integral geometry
random segment
kinematic measure