Lectures related to Mathematical Proofs: Induction, Inequalities, Divisibility, Subsets

Explores exploration bias and generalization bound in KL divergences, emphasizing mathematical proofs and implications.

Explores optimal transport theory, transport maps, entropy, and their practical implications in mathematical optimization.

Covers absolute value, subtraction in integers, and comparisons between integers.

Covers the rigorous proof of differential equations, emphasizing accuracy and precision.

Introduces the Cauchy-Lipschitz theorem and demonstrates uniqueness of global solutions.

Explores the Supremum Theorem, its properties, proofs, and exercises.

Covers solutions to the 2018 exam, focusing on bounded functions and distinct solutions.