Convex Totally Explained

Everything about Convexity totally explained

The word convex means curving out or bulging outward. 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 with the epigraph (the set of points lying on or above the graph) forming a convex set
Convex polygon, a polygon which 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, is a generalization of the Legendre transformation
Convex optimization

Economics:

Convex preference relation, a preference relation with convex upper contour sets Finance:

Bond convexity, a measure of the sensitivity of the price of a bond to changes in interest rates Optics:

Convex lens, a lens with surfaces that curve outward Art:

Convex and Concave, a lithograph print by the artist M. C. Escher Proper names:

Convex Computer, a company that produced a number of vector supercomputers, bought by HP in 1995Further Information

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