Proof theory

Related lectures (32)

Explores the concept of universal coating through detailed proofs and examples, emphasizing uniqueness and significance.

Explores differentiating under the integral sign and continuity of functions in integrals.

Explores the proof of measure concentration using Laplace transform methods and demonstrates its application through examples and propositions.

Covers the properties and applications of the Fourier transform and its relation to Heisenberg's uncertainty principle.

Explores the proof of the martingale convergence theorem and the concept of stopping time in square-integrable martingales.

Covers the Lindeberg-Rafeller theorem, discussing characteristic functions, moment problems, and the Central Limit Theorem.

Explores prime numbers and Euclid's Theorem through a proof by contradiction.

Covers the long exact sequence of relative homology groups and chain complexes.

Covers the Runge-Kutta method for approximating solutions of differential equations.

Explores the proof of the Central Limit Theorem through Lindeberg's principle and the convergence of random variables.

Covers the extension and periodicity of Fourier series and the interpretation of coefficients.

Explores tail bounds, information bounds, and maximal leakage in the context of generalization error.

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