One has just been sent out as a biblical dove, has found nothing green, and slips back
into the darkness of the ark -- Kafka

Saturday, November 15, 2014

Buffon's Needle

Also quite interesting (I'm glad I followed the link): Buffon's Needle.

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In mathematics, Buffon's needle problem is a question first posed in the 18th century by Georges-Louis Leclerc, Comte de Buffon:
Suppose we have a floor made of parallel strips of wood, each the same width, and we drop a needle onto the floor. What is the probability that the needle will lie across a line between two strips?
Buffon's needle was the earliest problem in geometric probability to be solved; it can be solved using integral geometry. The solution, in the case where the needle length is not greater than the width of the strips, can be used to design a Monte Carlo method for approximating the number π.

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