convexity

Noun

Meaning

The state of being convex; the exterior surface of a convex body; roundness.

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Phrases with the word

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Examples

The price-tax conditions necessary to sustain the Pareto optimality of a competitive market solution under the assumed convexity conditions are tantamount to standard Pigovian rules, with neither taxes imposed upon, nor compensation paid to, the victims of externalities. William J. Baumol

A convexity property of positive matrices. Source: Internet

Historically, ideas from linear programming have inspired many of the central concepts of optimization theory, such as duality, decomposition, and the importance of convexity and its generalizations. Source: Internet

Classification Criteria Like all polytopes, 4-polytopes may be classified based on properties like " convexity " and " symmetry ". Source: Internet

More generally, Euler's formula applies to any polyhedron whose faces are simple polygons that form a surface topologically equivalent to a sphere, regardless of its convexity. Source: Internet

An "informal" presentation appears in pages 63–65 of Laffont: citation Uniqueness seeAlso Although generally (assuming convexity) an equilibrium will exist and will be efficient, the conditions under which it will be unique are much stronger. Source: Internet

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