Lectures related to Symmetric polynomial

Covers set operations and their analogies to propositional logic connectives, including the cardinality of set union.

Explores Gaussian corelation inequality, Anderson's theorem, and log-concavity in probability theory.

Covers the decomposition of linear operators and properties of eigenspaces.

Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.

Explores alternate forms, symmetric forms, and determinants in linear algebra.

Explores subspaces, approximation problems, and least-squares approximation methods.

Explores the maximum principle in elliptic problems and its implications, including inverse monotonicity and comparison functions.

Explores the symmetric group, emphasizing cycle notation and group properties.