Lectures related to Caratheodory Bounds: Integer Programming

Covers examples of direct and indirect proofs in mathematics.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores generalization error in machine learning, focusing on data distribution and hypothesis impact.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Introduces Coq, an interactive theorem assistant based on the Curry-Howard isomorphism.

Covers the concepts of contraposition and contradiction in proofs.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.

Covers optimization problems in path finding and portfolio allocation.