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arXiv:1911.05576 [math.PR]AbstractReferencesReviewsResources

Angle distribution of two random chords in the disc: A sine law

Jesus Igor Heberto Barahona Torres, Paulo Cesar Manrique-Mirón, Erick Treviño-Aguilar

Published 2019-11-13Version 1

Motivated by models in engineering and also biology we determine in closed form the probability density function of the angle shaped by two random chords in a fixed disc. Our main result focus on the event in which the intersection locates inside the fixed disc and establishes a sine law.

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