Lectures related to Complete homogeneous symmetric polynomial

Relations in Computer Science

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Tensor Products and Symmetric Power

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Matrix Diagonalization: Spectral Theorem

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Determinants: Symmetric Formulas and Properties

Explores symmetric formulas and properties of determinants, including invertibility and matrix calculations.

Properties of Operations: Equivalence Relations and Logic Basics

Explores properties of operations, equivalence relations, and logic basics.

Diophantine Approximation: Minbowski's Theorem

Covers Minbowski's Theorem on Diophantine Approximation and Gram-Schmidt orthogonalization.

Subspace-based approximations

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

Moments of Inertia: Cylinders and Disks

Explains how to calculate moments of inertia for cylinders and disks using the principle of Steiner.

Main Axes of Inertia Determination

Explains the determination of main axes of inertia and balancing in rotating solids.

Geometric Quantization: Representation Theory

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.

Functional Analysis I

Covers eigenvectors, spectral theorems, and finite sequences in functional analysis.

Advanced Analysis II: Sequences and Integrals

Explores sequences, integrals, symmetrical functions, differential equations, and the Cauchy problem in advanced analysis.

Projective Space and Algebraic Sets

Introduces projective space and algebraic sets, discussing homogeneous coordinates, ideals, and generators.

Intersection Numbers: Algebraic Counting Solutions

Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.

Gaussian Corelation Inequality & Anderson's Thum

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

Binary Relations and Cartesian Products

Explores binary relations, Cartesian products, and applications between sets, emphasizing their properties and significance.

Minkowski's Theorems: Lattices and Volumes

Explores Minkowski's theorems on lattices, volumes, and set comparisons.

General Conics and Motor Blocks

Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.

Sets and Functions

Introduces binary relations, functions, and various types of relations in sets.