= Brunn–Minkowski theorem
{wiki=Brunn–Minkowski_theorem}
The Brunn–Minkowski theorem is a fundamental result in the theory of convex bodies in geometry, particularly in the field of measure theory and geometric analysis. It provides a profound connection between the geometry of sets in Euclidean space and their measures (e.g., volumes). \#\#\# Statement of the Theorem: Let \\( A \\) and \\( B \\) be two non-empty, compact subsets of \\( \\mathbb\{R\}^n \\) with positive measure.
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