- logarithmically concave function
- матем.логарифмически вогнутая функция
English-Russian scientific dictionary. 2008.
logarithmically concave function
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Logarithmically concave function — A function f : R^n o R^+ is logarithmically concave (or log concave for short), if its natural logarithm ln(f(x)), is concave. Note that we allow here concave functions to take value infty. Every concave function is log concave, however the… … Wikipedia
Concave function — In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap or upper convex. Contents 1 Definition 2 Properties 3 Examples … Wikipedia
Logarithmically concave measure — In mathematics, A Borel measure mu; on n dimensional Euclidean space R n is called logarithmically concave (or log concave for short) if, for any compact subsets A and B of R n and 0 lt; lambda; lt; 1, one has: mu(lambda A + (1 lambda) B) geq… … Wikipedia
Log-concave — may refer to:* Logarithmically concave function * Logarithmically concave measure … Wikipedia
Convex function — on an interval. A function (in black) is convex if and only i … Wikipedia
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St. Petersburg paradox — In economics, the St. Petersburg paradox is a paradox related to probability theory and decision theory. It is based on a particular (theoretical) lottery game (sometimes called St. Petersburg Lottery ) that leads to a random variable with… … Wikipedia
