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A note on random sets mosaics

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Summary

S-mosaics are mathematical structures which arise in many different contexts in theoretical biology. As a first step toward understanding the properties of these objects, we give an exact analytic formula f(n), the average fractional (hyper)volume of the smaller of the two segments produced when two points are placed randomly in an n-dimensional hypersphere (n = 1,2,3,...).

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May, R.M. A note on random sets mosaics. J. Math. Biology 2, 351–357 (1975). https://doi.org/10.1007/BF00817392

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  • DOI: https://doi.org/10.1007/BF00817392

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