Acta mathematica scientia, Series B >
ON GENERALIZED BUFFON NEEDLE PROBLEM FOR LATTICES
Received date: 2008-10-16
Online published: 2011-01-20
Supported by
Sponsored by NSFC (10671159)
Two new concepts, the generalized support function and restricted chord func-tion, 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.
XIE Feng-Fan , LI De-Yi . ON GENERALIZED BUFFON NEEDLE PROBLEM FOR LATTICES[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 303 -308 . DOI: 10.1016/S0252-9602(11)60230-0
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