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DISTRIBUTIONS OF POINTS IN EUCLIDEAN SPACE
RANDOM LINES IN A PLANE AND IN SPACE
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angle applied average axis becomes centre Chapter chord circle clearly condition consider convex figure coordinates corresponding counted covered curve defined density determine diameters dimensions direction distance domain element equal equation estimate example expected fact fixed follows formula function geometrical given gives Hence independently inside integral interesting intersection interval invariant joint distribution KENDALL lattice length lies mean measure method nearest needle observed obtained occur origin orthogonal matrix pairs parallel parameter particles particular perimeter perpendicular plane Poisson position possible probability distribution problem projection prove radius random plane random points range region represented respect rotation sides similar space sphere square stars statistical Suppose surface taken theorem theory tion transformation triangle uniformly distributed unit variance variate vector volume write zero дф