convex set oor Masedonies

convex set

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en
(mathematics) The set consisting of all parts of the line segment that joins a pair of points

Vertalings in die woordeboek Engels - Masedonies

испакнато множество

en
(in convex geometry) subset of an affine space that is closed under convex combinations
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Following von Neumann's program, Kenneth Arrow and Gérard Debreu formulated abstract models of economic equilibria using convex sets and fixed–point theory.
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John von Neumann, working with Oskar Morgenstern on the theory of games, broke new mathematical ground in 1944 by extending functional analytic methods related to convex sets and topological fixed-point theory to economic analysis.
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Even in finite dimensions, the concepts of functional analysis have illuminated economic theory, particularly in clarifying the role of prices as normal vectors to a hyperplane supporting a convex set, representing production or consumption possibilities.
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From the later-1930s, an array of new mathematical tools from the differential calculus and differential equations, convex sets, and graph theory were deployed to advance economic theory in a way similar to new mathematical methods earlier applied to physics.
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"Maximal monotone operators, convex functions and a special family of enlargements", Set-Valued Analysis With Iusem: Set-Valued Mappings and Enlargements of Monotone Operators (2007) Variational Analysis and Generalized Differentiation in Optimization and Control (2010, as editor) MTE, "Autorização de Trabalho a Estrangeiros", D.O.U. n.
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After the invention of the telescope, Kepler set out the theoretical basis on how they worked and described an improved version, known as the Keplerian telescope, using two convex lenses to produce higher magnification.
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In a convex problem, if there is a local minimum that is interior (not on the edge of the set of feasible elements), it is also the global minimum, but a nonconvex problem may have more than one local minimum not all of which need be global minima.
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