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High Quality Content by WIKIPEDIA articles! In mathematics, Vitale's random Brunn-Minkowski inequality is a theorem due to Richard Vitale that generalizes the classical Brunn-Minkowski inequality for compact subsets of n-dimensional Euclidean space Rn to random compact sets. Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. There is debate over whether mathematical objects such as numbers and points exist naturally or are human creations. The mathematician Benjamin Peirce called mathematics "the science that draws necessary conclusions". Albert Einstein, on the other hand, stated that "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."