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On clumps formed when convex laminae or bodies are placed at random in two or three dimensions

Published online by Cambridge University Press:  24 October 2008

C. Mack  and
M. S. Bartlett
C. Mack
Affiliation:
Shirley InstituteManchester
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Abstract

A correction is made to a previous paper(2) on clumps formed by random placing of laminae, a useful property of such placings is deduced and formulae are found for clumps formed when convex bodies are randomly placed in space and for clumps formed by the orthogonal projections of such placings.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 2 , April 1956 , pp. 246 - 250
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

REFERENCES

(1)Blaschke, W.Vorlesungen über Integralgeometrie (Berlin, 1937).Google Scholar
(2)Mack, C.Proc. Camb. phil. Soc. 50 (1954), 581.CrossRefGoogle Scholar
(3)Santalo, L. A.Integralgeometrie 5 (Actualités sci. industr. no. 357, Paris, 1936).Google Scholar
(4)Santalo, L. A.Introduction to Integral Geometry (Actualités sci. industr. no. 1198, Paris, 1953).Google Scholar