# Dictionary Definition

# User Contributed Dictionary

## English

### Adjective

- curved or bowed outward like the outside of a bowl
- (not comparable) (Of a set of points) such that for any two points in the set, every point between those two points is also in the set
- (not comparable) (of a real-valued function on the reals) such that the value at any point, is no larger than the interpolated value thereat, based on the values at any two points between which the first point is contained

#### Antonyms

#### Translations

curved or cowed- Bulgarian: изпъкнал (izpǎknal)
- Czech: konvexní
- Danish: konveks
- Dutch: bol
- Finnish: kupera
- French: convexe
- German: konvex
- Greek: κυρτό (kirtó)
- Hebrew: קעור (qa'ur)
- Italian: convesso
- Lithuanian: išgaubtas
- Polish: wypukły
- Portuguese: convexo
- Russian: выпуклый (výpuklyj)
- Sindhi:
- Slovak: konvexný
- Spanish: convexo
- Swedish: konvex
- Turkish: konveks, dışbükey

# Extensive Definition

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 1995

## See also

- List of convexity topics
- Concave, the opposite of convex.

convex in Czech: Konvexní

convex in German: Konvex

convex in Finnish: Konveksisuus

convex in Japanese: 凸

convex in Swedish: Konvex