“Buffon's Needle Problem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Buffon's Needle Problem

释义

Buffon's Needle Problem

Find the probability that a needle of length will land on a line, given a floor with equally spaced ParallelLines a distance apart.

Several attempts have been made to experimentally determine

by needle-tossing. For a discussion of the relevantstatistics and a critical analysis of one of the more accurate (and least believable) needle-tossings, see Badger (1994).

See also Buffon-Laplace Needle Problem

References

Badger, L. ``Lazzarini's Lucky Approximation of .'' Math. Mag. 67, 83-91, 1994.

Dörrie, H. ``Buffon's Needle Problem.'' §18 in 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, pp. 73-77, 1965.

Kraitchik, M. ``The Needle Problem.'' §6.14 in Mathematical Recreations. New York: W. W. Norton, p. 132, 1942.

Wegert, E. and Trefethen, L. N. ``From the Buffon Needle Problem to the Kreiss Matrix Theorem.'' Amer. Math. Monthly 101, 132-139, 1994.

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