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一类非均匀骰子的概率问题 被引量:3

The probability question of non-even dice
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摘要 利用平面角的概念研究了正常凸多边形一边着地的概率,进一步利用立体角的概念研究了正常凸多面体一面着地的概率并举例进行了计算. the probability of the normal convex polygon's one side tailing to the ground has been studied by planc angle, furtherly the probability of the normal convex polyhedron's one face falling to the ground has been studied by solid angle, at the same time, the example that has been carried on the calculation of the probability is given.
出处 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2009年第4期381-383,共3页 Journal of Zhejiang University(Science Edition)
关键词 正常凸多边形 正常凸多面体 平面角 立体角 概率 normal convex polygon normal convex polyhedron plane angle solid angle probability
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  • 1Persi D.Buffon's problem with a long needle[J].J Appl Prob,1976,13:614-618.
  • 2Mortom R R A.The expected number and angle of intersections between random curves in a plane[J].J Appl Prob,1996(3):559-562.
  • 3Miles R E.Random Polygons determined by random lines in a plane[J].Proc Nat Acad Sci,1964,52:901-907.
  • 4Wolfowitz J.The distribution of plane angles of contact[J].Quart J Appl Math,1949(7):117-120.
  • 5Herbert S.Geometric probability[M].London:Society for industrial and applied mathematics,1978.

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