Boolean trends in linear inequalities

DOI10.1134/S1990478910030051zbMath1468.03085MaRDI QIDQ467647

Semen S. Kutateladze

Publication date: 4 November 2014

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

zbMATH Keywords

linear inequalityBoolean valued analysis

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Related Items (5)

Unnamed Item ⋮ Envelopes and inequalities in vector lattices ⋮ Leibnizian, Robinsonian, and Boolean valued monads ⋮ Use Model Theory in Nonsmooth Analysis ⋮ Nonstandard tools of nonsmooth analysis

Cites Work

• Unnamed Item
• Harpedonaptae and abstract convexity
• The Farkas Lemma revisited
• Set containment characterization
• Different motivations and goals in the historical development of the theory of systems of linear inequalities
• From measuring tool to geometrical object: Minkowski's development of the concept of convex bodies
• Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities
• Encyclopedia of Optimization
• Two Applications of Logic to Mathematics
• Boolean Models and Simultaneous Inequalities
• Nonnegative solvability of linear equations in certain ordered rings
• Linear Optimization Problems with Inexact Data

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