Convex

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

Convex means curving out or bulging outward (compare 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 function whose epigraph forms a convex set
• Convex polytope, a polytope that forms a convex set
• 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
• Convex polygon
• 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

Economics

• Convexity in economics
• Convex preferences, a preference relation with convex upper contour sets

Finance

• Convexity (finance), second derivatives in financial modeling generally
• Bond convexity, a measure of the sensitivity of the duration (not price) of a bond to changes in interest rates

Other uses

• Convex lens, a lens with surfaces that curve outward
• Convex Computer, a company that produced a number of vector supercomputers
• Convex Software Library, a client-side open source solution for Internet Explorer

See also

• Non-convexity (economics), violations of the convexity assumptions of elementary economics
• Concave (disambiguation)
• List of convexity topics
• Obtuse angle
• Kachurovskii's theorem

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