Convex or convexity may refer to:
Science and technology
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Convex lens, in optics
Mathematics
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Convex set
In geometry, a set of points is convex if it contains every line segment between two points in the set.
For example, a solid cube (geometry), cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is n ...
, containing the whole line segment that joins points
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Convex polygon
In geometry, a convex polygon is a polygon that is the boundary of a convex set. This means that the line segment between two points of the polygon is contained in the union of the interior and the boundary of the polygon. In particular, it is ...
, a polygon which encloses a convex set of points
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Convex polytope, a polytope with a convex set of points
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Convex metric space, a generalization of the convexity notion in abstract metric spaces
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Convex function
In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of a function, graph of the function lies above or on the graph between the two points. Equivalently, a function is conve ...
, when the line segment between any two points on the graph of the function lies above or on the graph
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Convex conjugate
In mathematics and mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also known as Legendre–Fenchel transformation, Fenchel transformati ...
, of a function
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Convexity (algebraic geometry), a restrictive technical condition for
algebraic varieties originally introduced to analyze Kontsevich
moduli spaces
Economics and finance
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Convexity (finance), second derivatives in financial modeling generally
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Convexity in economics
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Bond convexity, a measure of the sensitivity of the duration of a bond to changes in interest rates
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Convex preferences
In economics, convex preferences are an individual's ordering of various outcomes, typically with regard to the amounts of various goods consumed, with the property that, roughly speaking, "averages are better than the extremes". This implies that ...
, an individual's ordering of various outcomes
Other uses
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Convex Computer, a former company that produced supercomputers
See also
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List of convexity topics
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Non-convexity (economics), violations of the convexity assumptions of elementary economics
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Obtuse angle
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