Orthogonality Courses and Certifications

Tobias Osborne

Symmetries and Quantum Mechanics - Orthogonality Relations for Characters - Lecture 5

Explore the fundamental principles of group representation theory in quantum mechanics, focusing on character orthogonality relations and their applications in quantum states.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Convergent Orthogonality Preserving Approximations of the Kohn-Sham Orbitals

Explore convergent numerical approximations in electronic structure calculations, focusing on an extended gradient flow Kohn-Sham DFT model that preserves orbital orthogonality without additional operations.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Orthogonality Sampling Methods for Electromagnetic Inverse Scattering Problems

Exploring orthogonality sampling methods for electromagnetic inverse scattering problems, focusing on implementation simplicity, noise robustness, and applications in 2D and 3D experimental data.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

BIMSA

Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024

Explore generalized Dirichlet character orthogonality for GL(n,R), extending classical number theory to higher dimensions with applications.

• YouTube
• 55 minutes
• On-Demand
• Free Video

AI Engineer

Surfacing Semantic Orthogonality Across Model Safety Benchmarks - A Multi-Dimensional Analysis

Explore semantic clustering analysis of AI safety benchmarks, revealing distinct harm categories and coverage gaps across five open-source datasets using UMAP and k-means clustering techniques.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Almost Orthogonality in Fourier Analysis: From Singular Integrals to Function Spaces to Leibniz Rules for Fractional Derivatives

Delve into the mathematical world of Fourier analysis, exploring almost orthogonality concepts from singular integrals to function spaces and fractional derivative Leibniz rules with Rodolfo Torres.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Q-points, Q-measures, and L-orthogonality

Explore the connections between L-orthogonality, Q-points, and Q-measures in Banach spaces, including their relationship to set theory and recent consistency and independence results.

• YouTube
• 17 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Orthogonality Catastrophe in Perturbed CFTs

Explore orthogonality catastrophe phenomena in perturbed conformal field theories with Prof. Anatoly Konechny from Heriot-Watt University in this advanced physics seminar.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Orthogonality Catastrophe in Perturbed CFTs

Explore orthogonality catastrophe phenomena in perturbed conformal field theories with Professor Anatoly Konechny from Heriot-Watt University.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Mastering Linear Algebra: An Introduction with Applications

58 ratings at The Great Courses Plus

Take your math skills to a new level with linear algebra, which is used in everything from computer graphics to quantum mechanics.

• The Great Courses Plus
• 12 hours 2 minutes
• On-Demand
• Free Trial Available

Linear Algebra

To illustrate the beauty and power of Linear Algebra.

• XuetangX
• On-Demand
• Free Online Course

Linear Algebra with Applications

Master fundamental linear algebra concepts and their real-world applications, from solving linear equations to web search algorithms, population modeling, and computer image transformation.

• XuetangX
• On-Demand
• Free Online Course

Functional Analysis and its Applications

Explore advanced mathematical concepts in vector spaces, operators, and abstract analysis while mastering fundamental theorems and their practical applications in science and engineering.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Linear Algebra for Machine Learning

Master the mathematical foundations of linear algebra essential for machine learning, from vector spaces and matrices to determinants and orthogonality, with practical applications for AI development.

• freeCodeCamp
• 10 hours 49 minutes
• On-Demand
• Free Video

NPTEL;  IISc Bangalore

Advanced Matrix Theory and Linear Algebra for Engineers

1 review

Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.

• YouTube
• 1 day 14 hours
• On-Demand
• Free Video