Abstract
The problem is to determine the distribution of the sizes of spherical particles, distributed at random in the n-dimensional space, from that of the sizes of their intersections with a random (n−1) dimensional hyperplane, a straightforward generalization of the same problem for n=3. The solution is independent from n.
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References
Kendall, M.G. and Moran, P.A.P., Geometric Probability, 1963, Hafner Publishing Company, New York.
Laurent, A.G., "Applications of fractional calculus to spherical (radial) probability models and generalizations,” Proceedings of the New Haven Conference on Fractional Calculus, 1974, this text.
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© 1975 Springer-Verlag
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Laurent, A.G. (1975). A problem of hyperstereology. In: Ross, B. (eds) Fractional Calculus and Its Applications. Lecture Notes in Mathematics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067111
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DOI: https://doi.org/10.1007/BFb0067111
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