concave function
71Jensen's inequality — In mathematics, Jensen s inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function. It was proved by Jensen in 1906 [Jensen, J. Sur les fonctions… …
72Dual problem — In constrained optimization, it is often possible to convert the primal problem (i.e. the original form of the optimization problem) to a dual form, which is termed a dual problem. Usually dual problem refers to the Lagrangian dual problem but… …
73arts, East Asian — Introduction music and visual and performing arts of China, Korea, and Japan. The literatures of these countries are covered in the articles Chinese literature, Korean literature, and Japanese literature. Some studies of East Asia… …
74Expected utility hypothesis — In economics, game theory, and decision theory the expected utility hypothesis is a theory of utility in which betting preferences of people with regard to uncertain outcomes (gambles) are represented by a function of the payouts (whether in… …
75semantics — semanticist /si man teuh sist/, semantician /see man tish euhn/, n. /si man tiks/, n. (used with a sing. v.) 1. Ling. a. the study of meaning. b. the study of linguistic development by classifying and examining changes in meaning and form. 2.… …
76Beta distribution — Probability distribution name =Beta| type =density pdf cdf parameters =alpha > 0 shape (real) eta > 0 shape (real) support =x in [0; 1] ! pdf =frac{x^{alpha 1}(1 x)^{eta 1 {mathrm{B}(alpha,eta)}! cdf =I x(alpha,eta)! mean… …
77Polar coordinate system — Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 …
78St. 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… …
79eye disease — Introduction any of the diseases or disorders that affect the human eye (eye, human). This article briefly describes the more common diseases of the eye and its associated structures, the methods used in examination and diagnosis, and the… …
80telescope — /tel euh skohp /, n., adj., v., telescoped, telescoping. n. 1. an optical instrument for making distant objects appear larger and therefore nearer. One of the two principal forms (refracting telescope) consists essentially of an objective lens… …
