Carathéodory's Theorem and Dimension Bound

Related lectures (31)

Page 2 of 4

Covers level curves and graphs of functions in two and three dimensions.

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

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

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Covers the proof of the explicit formula for the non-vanishing of the zeta function at the 1-line.

Covers geometric projections using Monge's method, focusing on representing three-dimensional points through their orthogonal projections.

Discusses the representation of real numbers in various bases and the implications of floating-point arithmetic.

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.