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| 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 |
| DOI： |
| 分类号:O186.5 |
| 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) |
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| A SPECIAL CLASS OF THE GRID GEOMETRIC PROBABILITY |
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ZOU Ming-tian,LI Shou-gui,CHEN Li-li
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| 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. |
| Key words: Buffon problem integral geometry kinematic measure |
