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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References
Abramowitz, M., Stegun, I. A.: Handbook of Mathematical Functions. New York: Dover 1965.
Carrier, G. F., Krook, M., Pearson, C. E.: Functions of a Complex Variable: Theory and Technique. New York: McGraw-Hill 1966.
Hamilton, W. D.: J. Theor. Biol.31, 295–311 (1971).
Lewis, J. E., Rogers, T.: In Mathematical Problems in Biology (Lecture Notes in Biomathematics, Vol. 2), pp. 146–151. New York: Springer 1974.
Plattner, S.: Sci. Am.232 (No. 5), 66–79 (1975).
Thompson, D'A. W.: On Growth and Form. Cambridge: Cambridge Univ. Press 1942.
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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