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Encyclopedia > Convexity

Convexity may refer to one of the following.

The concepts of convexity and concavity are important in various fields, and in various fields the adjective "convex" has their own specific meanings. Euclid, detail from The School of Athens by Raphael. ... Look up Convex set in Wiktionary, the free dictionary For other uses of convex, see convex function and convexity. ... Finance studies and addresses the ways in which individuals, businesses and organizations raise, allocate and use monetary resources over time, taking into account the risks entailed in their projects. ... In finance, a bond is a debt security, in which the issuer owes the holders a debt and is obliged to repay the principal and interest (the coupon). ... Yield may mean: In economics, yield is a measure of the amount of income an investment generates over time (related to return on investment). ... In finance, convexity is a measure of the sensitivity of the price of a bond to changes in interest rates. ...

See also: list of convexity topics Table of Opticks, 1728 Cyclopaedia Optics (appearance or look in ancient Greek) is a branch of physics that describes the behavior and properties of light and the interaction of light with matter. ... Convex lens converging light rays A convex lens, or converging lens, is a lens that is curved outward (convex): the ends are narrow and the middle is wide. ... concave lens diverging light rays A concave lens is a lens with inward-curving (concave) surfaces: the ends are wide, the middle is thin. ... Analysis is the generic name given to any branch of mathematics that depends upon the concepts of limits and convergence. ... A convex function is a real-valued function f defined on an interval (or on any convex subset C of some vector space), if for any two points x and y in its domain C and any t in [0,1], we have Convex function on interval I.e. ... This is a list of convexity topics, by Wikipedia page. ...


  Results from FactBites:
 
convexity - definition of convexity in Encyclopedia (637 words)
For example, a solid cube is convex, but anything that is hollow or has a dent in it is not convex.
Closed convex sets can be characterised as the intersections of closed half-spaces (sets of point in space that lie on and to one side of a hyperplane).
A convex function f defined on some convex open interval C is continuous on the whole C and differentiable at all but at most countably many points.
Convexity - Wikipedia, the free encyclopedia (125 words)
Convexity may refer to one of the following.
The concepts of convexity and concavity are important in various fields, and in various fields the adjective "convex" has their own specific meanings.
This is a disambiguation page: a list of articles associated with the same title.
  More results at FactBites »


 

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