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The 
th root of the Content of the set sum of two sets in Euclidean -space is greater than or equal to the
sum of the th roots of the Contents of the individual sets.
See also Tomography
References
Cover, T. M. ``The Entropy Power Inequality and the Brunn-Minkowski Inequality'' §5.10 in
Open Problems in Communications and Computation. (Ed. T. M. Cover and B. Gopinath).
New York: Springer-Verlag, p. 172, 1987.
Schneider, R. Convex Bodies: The Brunn-Minkowski Theory. Cambridge, England: Cambridge University Press, 1993.