Lectures related to Dognion's Theorem

Explores the integrality gap concept in set cover and multiplicative weights algorithms.

Explores convex polyhedra, linear programs, and their optimization importance.

Covers the modelling and optimization of energy systems, focusing on solving optimization problems with constraints and variables.

Explores the Lagrange multipliers theorem for n>2, demonstrating its application in optimization problems with constraints.

Explores strong induction as a proof method and demonstrates its application in proving a theorem about positive integers.

Covers Farkas' lemma, exploring the relationship between linear programs and the conditions for its validity.

Explains mathematical induction for proving propositions true for all positive integers.

Covers the definition of convex functions and their properties in optimization.

Covers the concept of hedging for Linear Programs and the simplex method, focusing on minimizing costs and finding optimal solutions.