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:
“I think he is not a pick-purse nor a horse-stealer, but
for his verity in love, I do think him as concave as a covered goblet or a worm-eaten nut.”
—William Shakespeare (1564–1616)
“I thought of rhyme alone,
For rhyme can beat a measure out of trouble
And make the daylight sweet once more....”
—William Butler Yeats (1865–1939)