Lectures related to Σ-algebra

Introduces the Random-Subcube Model (RSM) for constraint satisfaction problems, exploring its structure, phase transitions, and variable freezing.

Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.

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

Explores random variables, sigma algebras, independence, and shift-invariant measures, emphasizing cylinder sets and algebras.

Explores the properties and operations of complex numbers in mathematics.

Covers the analysis of the Deutsch Josza circuit in quantum computation, focusing on stochastic PDES and circuit analysis.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.