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E3中有界网格的Bufron问题

     

摘要

Two new concepts, the restricted chord function and the restricted chord projection function, both referring to the convex body in En, were introduced in Reference[1]. General formulae to yield the kinematic measure of a segment of fixed length in a convex body in En, were established based on these concents and a discussion was given with respect to right parallelepiped domain in E3. In this paper, by using restricted chord projection method, the authors could solve Buffon needle problem for three kinds of bounded lattices in E3.%文献[1]引入En中有界闭凸体的限弦函数和限弦投影函数两个新概念,利用它们建立En中有界闭凸体内定长线段运动测度的普遍公式,并对E3中长方体区域进行了讨论.该文运用限弦投影的方法解决E3中三类有界网格的Buffon投针问题.

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