Least-upper-bound property

Related lectures (32)

Page 3 of 4

Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.

Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.

Discusses Cauchy sequences, sub-sequences, and numerical series with parameters.

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

Explores the convergence proof of Stochastic Gradient Descent with strongly-convex functions and the impact of step-size on convergence properties.

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Explains the concept of infimum in real numbers and its properties.

Explores the Cauchy-Hadamard theorem on convergence radius of power series and real analytical solutions.

Covers the properties of real numbers, including bounds, density, and absolute value.