Convex or convexity may refer to:
Science and technology
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Convex lens
A lens is a transmissive optical device which focuses or disperses a light beam by means of refraction. A simple lens consists of a single piece of transparent material, while a compound lens consists of several simple lenses (''elements''), ...
, in optics
Mathematics
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Convex set
In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset contains the whole line segment that joins them. Equivalently, a convex set or a convex ...
, containing the whole line segment that joins points
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Convex polygon, 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, 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, of a function
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Convexity (algebraic geometry), a restrictive technical condition for
algebraic varieties
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex number
...
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, 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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{{disambiguation