Convex

A convex set.

Look up convex or convexity in Wiktionary, the free dictionary.

The word convex means curving out or bulging outward, as opposed to concave. Convex or convexity may refer to:

Mathematics [edit]

Convex set, a set of points containing all line segments between each pair of its points
Convex function, a function whose epigraph forms a convex set
Convex polytope, a polytope which forms a convex set. These include convex polygons.
Convex hull, the minimal convex set containing a set of points X
Convex combination, a linear combination of points with non-negative coefficients that sum up to 1
Convex conjugate, a generalization of the Legendre transformation
Convex bipartite graph, a special kind of bipartite graph
Convex polygon, a polygon which is not concave
Convex plane graph, a plane graph with convex faces
Convex optimization, a subfield of optimization, studies the problem of minimizing convex functions
Convex geometry, the branch of geometry studying convex sets, mainly in Euclidean space
- Convex curve, the boundary of a convex set
- Convex body, a compact convex set with non-empty interior

Convexity in economics
Convex preferences, a preference relation with convex upper contour sets
Non-convexity (economics), refers to violations of the convexity assumptions of elementary economics

Bond convexity, a measure of the sensitivity of the price of a bond to changes in interest rates
Convexity (finance), second derivatives in financial modeling generally

Convex Computer, a company that produced a number of vector supercomputers, bought by HP in 1995
Convex Software Library, a client-side open source solution for Internet Explorer which uses a hidden Java applet to process XForms