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 am not the measure of creation.
This is beyond me, this fish.
His God stands outside my God.”
—D.H. (David Herbert)