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单词 Brunn-Minkowski Inequality
释义

Brunn-Minkowski Inequality

The th root of the Content of the set sum of two sets in Euclidean -space is greater than or equal to thesum 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.


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