ON GENERALIZED BUFFON NEEDLE PROBLEM FOR LATTICES  

作　　者：谢凤繁 李德宜 

机构地区：[1]College of Science, Wuhan University of Science and Technology [2]School of Mathematics and Statistics, Huazhong University of Science and Technology

出　　处：《Acta Mathematica Scientia》2011年第1期303-308,共6页数学物理学报（B辑英文版）

摘　　要：Two new concepts, the generalized support function and restricted chord function, both referring to a convex set, were introduced in [1]. General formulae to yield the kinematic measure of a segment of fixed length in a convex set were established based on these concepts. In this article , using the partial intersection method, we consider the generalized Buffon problem for three kinds of lattices. We determine the probability of intersection of a body test needle of length l, l a.Two new concepts, the generalized support function and restricted chord function, both referring to a convex set, were introduced in [1]. General formulae to yield the kinematic measure of a segment of fixed length in a convex set were established based on these concepts. In this article , using the partial intersection method, we consider the generalized Buffon problem for three kinds of lattices. We determine the probability of intersection of a body test needle of length l, l a.

关 键 词：Geometric probability integral geometry Buffon problem lattice of regions kinematic measure 

分 类 号：O186.5[理学—数学] TS103.821[理学—基础数学]