Functional Calculus: Simple Functions

Related lectures (30)

Page 3 of 3

Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Explores optimal transport in heat equations and metric spaces.

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

Covers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Explores decreasing and growing functions, bounded sequences, and limit existence.

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.