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与给定线段相交的定长线段的运动测度公式及其应用(英文) 被引量:3

THE KINEMATIC MEASURE OF LINE SEGMENT OF FIXED LENGTH INTERSECTING WITH FIXED LINE SEGMENT AND ITS APPLICATION
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摘要 本文研究了凸多边形的运动测度的表达式,利用线段将已知其包含测度的凸多边形分划成其它的凸多边形,通过计算出与给定线段相交的定长线段的运动测度公式,从而得到某些凸多边形的运动测度的具体表达式,并把它应用到几何概率问题中,获得一个新的几何概率结果. In this paper, individual expressions for the kinematic measure for other convex polygons are established by taking the segment to divide convex polygons of known measure into account. Its application to geometric probability problems will lead to a new conclusion for geometric probability.
出处 《数学杂志》 CSCD 北大核心 2006年第2期142-146,共5页 Journal of Mathematics
关键词 运动测度 Buffon投针问题 区域格 几何概率 kinematic measure Buffon problem lattice of regions geometric probability
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参考文献2

  • 1Ren Delin.Topics in Integral Geometry[M].World Scientic:Singapore,New Jersey,London,and Hongkong,1994.
  • 2Zhang Gaoyong,Li Rongze.The Kinematic Measure Formula of the Segment of fixed length within some convex polygons and their applications to geometric probability problems[J].Wuhan Institute of Iron and Steel Technology,1984,1(1):106-128.

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