Logarithmically Concave Measure
In mathematics, a Borel measure μ on n-dimensional Euclidean space Rn is called logarithmically concave (or log-concave for short) if, for any compact subsets A and B of Rn and 0 < λ < 1, one has
where λ A + (1 − λ) B denotes the Minkowski sum of λ A and (1 − λ) B.
Read more about Logarithmically Concave Measure: Examples
Famous quotes containing the words concave and/or measure:
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for his verity in love, I do think him as concave as a covered goblet or a worm-eaten nut.”
—William Shakespeare (1564–1616)
“One measure of a civilization, either of an age or of a single individual, is what that age or person really wishes to do. A man’s hope measures his civilization. The attainability of the hope measures, or may measure, the civilization of his nation and time.”
—Ezra Pound (1885–1972)