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Linear Programming DualityExplores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
Duality: Economic InterpretationExplores duality in linear programming, strong duality, complementary slackness, and the economic interpretation of dual variables as prices.
Weak and Strong DualityCovers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.
Duality in Linear ProgrammingExplores the concept of duality in linear programming, discussing the relationship between primal and dual problems.
Proof of Strong DualityCovers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.
Limits and Colimits: Understanding CategoriesExplores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.
Optimal Decision AnalysisExplores strong duality, complementary slackness, economic interpretation, and stochastic problem scenarios in linear programming.