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superadditive function

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  • Superadditive — A sequence { an }, n ge; 1, is called superadditive if it satisfies the inequality::(1) qquad a {n+m} geq a n+a mfor all m and n . The major reason for the use of superadditive sequences is the following lemma due to Fekete.:Lemma: For every… …   Wikipedia

  • Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the …   Wikipedia

  • Convex function — on an interval. A function (in black) is convex if and only i …   Wikipedia

  • List of types of functions — Functions can be classified according to the properties they have. These properties describe the functions behaviour under certain conditions.Relative to set theoryThese properties concern the domain, the codomain and the range of functions. *… …   Wikipedia

  • Entropy power inequality — In mathematics, the entropy power inequality is a result in probability theory that relates to so called entropy power of random variables. It shows that the entropy power of suitably well behaved random variables is a superadditive function. The …   Wikipedia

  • Cooperative game — This article is about a part of game theory. For video gaming, see Cooperative gameplay. For the similar feature in some board games, see cooperative board game In game theory, a cooperative game is a game where groups of players ( coalitions )… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • game theory — a mathematical theory that deals with strategies for maximizing gains and minimizing losses within prescribed constraints, as the rules of a card game: widely applied in the solution of various decision making problems, as those of military… …   Universalium

  • Shapley value — In game theory, a Shapley value, named in honour of Lloyd Shapley, who introduced it in 1953, describes one approach to the fair allocation of gains obtained by cooperation among several actors.The setup is as follows: a coalition of actors… …   Wikipedia

  • Subadditivity — In mathematics, subadditivity is a property of a function that states, roughly, that evaluating the function for the sum of two elements of the domain always returns something less than or equal to the sum of the function s values at each element …   Wikipedia

  • superadditivity — noun a) The state of being superadditive. b) The statement that a function is superadditive. Ant: subadditivity …   Wiktionary

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