convex subset
1Convex function — on an interval. A function (in black) is convex if and only i …
2Convex 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 …
3Convex cone — In linear algebra, a convex cone is a subset of a vector space over an ordered field that is closed under linear combinations with positive coefficients. A convex cone (light blue). Inside of it, the light red convex cone consists of all points… …
4Convex polytope — A 3 dimensional convex polytope A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n dimensional space Rn.[1] Some authors use the terms convex polytope and convex… …
5Convex set — A convex set …
6Convex hull — The convex hull of the red set is the blue convex set. See also: Convex set and Convex combination In mathematics, the convex hull or convex envelope for a set of points X in a real vector space V is the min …
7Convex metric space — An illustration of a convex metric space. In mathematics, convex metric spaces are, intuitively, metric spaces with the property any segment joining two points in that space has other points in it besides the endpoints. Formally, consider a… …
8Logarithmically convex function — In mathematics, a function f defined on an convex subset of a real vector space and taking positive values is said to be logarithmically convex if log f(x) is a convex function of x.It is easy to see that a logarithmically convex function is a… …
9Orthogonal convex hull — The orthogonal convex hull of a point set In Euclidean geometry, a set is defined to be orthogonally convex if, for every line L that is parallel to one of the axes of the Cartesian coordinate system, the intersection of K with L is empty, a… …
10Holomorphically convex hull — In mathematics, more precisely in complex analysis, the holomorphically convex hull of a given compact set in the n dimensional complex space C n is defined as follows. Let G subset {mathbb{C^n be a domain (an open and connected set), or… …
