Convexity and Mixtures

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1977 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 19, pages 221-240 (issn: 0036-1445, eissn: 1095-7200,

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Authors: Gudder, Stanley P.;

doi: 10.1137/1019038

Convexity and Mixtures

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Abstract

This expository article develops the concepts of abstract convexity. Basic representation theorems are proved and discussed. The ideas are then applied to the behavioral, social and physical sciences. In particular, it is shown how convexity can be used in the study of color vision, decision theory, mathematical economics and quantum mechanics.

Keywords

Convex sets without dimension restrictions (aspects of convex geometry)

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