Lectures related to Theoreus Chain Role: Lipschitz Sit

Covers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.

Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.

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Numerical Analysis: Advanced Topics

Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Conditional Expectation

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

Derivative Rule of Bernoulli-l'Hôpital

Explores Bernoulli's Rule and l'Hôpital's Rule for differentiable functions in a neighborhood of a point xo, with practical examples.

Independence and Products

Covers independence between random variables and product measures in probability theory.

Functional Calculus: Simple Functions

Covers the extension of functional calculus to simple functions and the concept of *-homomorphism.

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