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Convex



 
  The word convex means curving out or bulging outward.

Convex or convexity may refer to:

Mathematics:
  • Convex set
    Convex set

    In Euclidean space, an object is convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object....
    , a set of points containing all line segments between each pair of its points
  • Convex function
    Convex function

    In mathematics, a real-valued function f defined on an interval is called convex, concave upwards, concave up or convex cup, if for any two points x and y in its domain C and any t in [0,1], we have...
    , a function with the epigraph (the set of points lying on or above the graph) forming a convex set
  • Convex polytope
    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....
    , a polytope which forms a convex set. These include convex polygon
    Convex polygon

    In geometry, a polygon can be either convex or concave....
    s.
  • Convex hull
    Convex hull

    In mathematics, the convex hull or convex envelope for a Set of points X in a real vector space V is the minimal convex set containing X....
    , the minimal convex set containing a set of points X
  • Convex combination
    Convex combination

    A convex combination is a linear combination of point where all coefficients are non-negative and sum up to 1. All possible convex combinations will be within the convex hull of the given points....
    , a linear combination of points with non-negative coefficients that sum up to 1
  • Convex conjugate
    Convex conjugate

    In mathematics, convex conjugation is a generalization of the Legendre transformation. It is also known as Legendre?Fenchel transformation or Fenchel transformation....
    , is a generalization of the Legendre transformation
  • Convex optimization
    Convex optimization

    Convex optimization is a subfield of optimization . Given a real number vector space together with a convex function, real-valued function defined on a convex set of , the problem is to find the point in for which the number is smallest, i.e., the point such that for all ....


Economics:
  • Convex preference relation
    Convex preferences

    In economics, convex preferences are a property of utility functions commonly represented in an indifference curve as a bulge toward the origin for normal goods....
    , a preference relation with convex upper contour sets


Finance:
  • Bond convexity
    Bond convexity

    In finance, convexity is a measure of the sensitivity of the Bond duration of a Bond to changes in interest rates....
    , 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
    Convex and Concave

    Convex and Concave is a Lithography print by the Netherlands artist M. C. Escher which was first printed in March, 1955.It depicts an ornate architectural structure with many stairs, pillars and other shapes....
    , a lithograph print by the artist M. C. Escher


Proper names:
  • Convex Computer
    Convex Computer

    Convex Computer was a company that produced a number of Vector processor minisupercomputers, supercomputers for small-to-medium-sized businesses....
    , a company that produced a number of vector supercomputers, bought by HP in 1995
  • Convex Software Library
    Convex Software Library

    Convex is a client-side solution for IE6. That uses a hidden Java applet to implement XForms processing in web pages. The solution is available as open source from the project....
    , a client-side open source
    Open source

    Open source is an approach to design, development, and distribution offering practical accessibility to a product's source . Some consider open source as one of various possible design approaches, while others consider it a critical Strategy element of their business operations....
     solution for Internet Explorer wich uses a hidden Java
    Java

    Java is an island of Indonesia and the site of its Capital city, Jakarta. Once the centre of powerful Hindu kingdoms, The spread of Islam in Indonesia , and the core of the colonial Dutch East Indies, Java now plays a dominant role in the economic and political life of Indonesia....
     applet
    Applet

    An applet is a software component that runs in the context of another program, for example a web browser. An applet usually performs a very narrow function that has no independent use....
     to process XForms
    XForms

    XForms is an XML format for the specification of a data processing model for XML data and user interface for the XML data, such as form . XForms was designed to be the next generation of HTML / XHTML forms, but is generic enough that it can also be used in a standalone manner or with presentation languages other than XHTML to describe a user...


See also

  • List of convexity topics
    List of convexity topics

    This is a list of convexity topics, by Wikipedia page.*Alpha blending*Barycentric coordinates*Bohr-Mollerup theorem*Borsuk's conjecture*Bond convexity...
  • Concave
    Concave

    The word concave means curving in or hollowed inward. The term is most commonly used to refer to:* Lens #Types of simple lenses, a lens with inward-curving surfaces....
    , the opposite of convex.