ON GENERALIZED BUFFON NEEDLE PROBLEM FOR LATTICES |
| |
| Authors: | Xie Fengfan Li Deyi |
| |
| Institution: | Xie Fengfan College of Science,Wuhan University of Science and Technology,Wuhan 430081,China School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China Li Deyi College of Science,China |
| |
| Abstract: | 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. |
| |
| Keywords: | Geometric probability integral geometry Buffon problem lattice of regions kinematic measure |
| 本文献已被 CNKI 维普 万方数据 ScienceDirect 等数据库收录！ |
|
