convex-concave function
1Concave 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 …
2Logarithmically 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… …
3Concave — A concave set. The word concave means curving in or hollowed inward, as opposed to convex. The former may be used in reference to: Concave lens, a lens with inward curving (concave) surfaces. Concave polygon, a polygon which is not convex.… …
4Convex function — on an interval. A function (in black) is convex if and only i …
5Convex optimization — Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets. Given a real vector space X together with a convex, real valued function defined on a convex subset of X, the problem is to find …
6Concave set — In mathematics, the notion of a concave set is not correct.[citation needed] A set that is not convex, is a non convex set. See also Convex set Concave function References Categories: Convex geometry …
7Convex — A convex set. The word convex means curving out or bulging outward, as opposed to concave. Convex or convexity may refer to: Mathematics: Convex set, a set of points containing all line segments between each pair of its points Convex function, a… …
8Convex set — A convex set …
9Convex preferences — In economics, convex preferences refer to a property of an individual s ordering of various outcomes which roughly corresponds to the idea that averages are better than the extremes . The concept roughly corresponds to the law of diminishing… …
10Convex hull algorithms — Algorithms that construct convex hulls of various objects have a broad range of applications in mathematics and computer science, see Convex hull applications . In computational geometry, numerous algorithms are proposed for computing the convex… …
