Lectures related to Proof of Convergence Rate Theorem

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

Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Explores the proof of the Prime Number Theorem and its implications in number theory.

Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.

Covers conditional expectation, Fubini's theorem, and their applications in probability theory.

Explores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.

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