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logarithmically concave function

См. также в других словарях:

  • 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

  • List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …   Wikipedia

  • 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

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