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We solve a variant of the classical Buffon Needle problem. More specifically, we inspect the probability that a randomly oriented needle of length $l$ originating in a bounded convex set $X\subset\mathbb{R}^2$ lies entirely within $X$. Using techniqu
Externí odkaz:
http://arxiv.org/abs/2411.16935
Publikováno v:
Physica A 657 (2025) 130253
Buffon-Laplace Needle Problem considers a needle of a length $l$ randomly dropped on a large plane distributed with vertically parallel lines with distances $a$ and $b$ ($a \geqslant b$), respectively. As a classical problem in stochastic probability
Externí odkaz:
http://arxiv.org/abs/2402.06670