Milman's reverse Brunn–Minkowski inequality is a result in the field of convex geometry, specifically concerning the properties of convex bodies. The Brunn–Minkowski inequality gives a relationship between the volumes of two convex sets and their Minkowski sum. The reverse version, generally attributed to Milman, provides a lower bound for the volume of the Minkowski sum of two convex sets compared to the volumes of the individual sets.
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