The 
th
root of the content of the set sum of two sets in 
-dimensional
Euclidean space is greater than or equal to the
sum of the 
th
roots of the contents of the individual sets.
Brunn-Minkowski Inequality
See also
TomographyExplore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Brunn-Minkowski InequalityCite this as:
Weisstein, Eric W. "Brunn-Minkowski Inequality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Brunn-MinkowskiInequality.html