Convex or convexity may refer to:
Science and technology
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Convex lens, in optics
Mathematics
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Convex set, 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 convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n-dimensional Euclidean space \mathbb^n. Most texts. use the term "polytope" for a bounded convex polytope, and the wo ...
, 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 points on the graph of a function, graph of the function lies above the graph between the two points. Equivalently, a function is convex if its epigra ...
, 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 originally introduced to analyze Kontsevich
moduli spaces
In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme (mathematics), scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of suc ...
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)
In economics, non-convexity refers to violations of the convexity assumptions of elementary economics. Basic economics textbooks concentrate on consumers with convex preferences (that do not prefer extremes to in-between values) and convex budget ...
, violations of the convexity assumptions of elementary economics
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Obtuse angle
In Euclidean geometry, an angle is the figure formed by two rays, called the '' sides'' of the angle, sharing a common endpoint, called the ''vertex'' of the angle.
Angles formed by two rays lie in the plane that contains the rays. Angles are ...
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{{disambiguation