Delves into symmetries in physics, covering group theory, perturbation, and quantification.
Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Explains k-means clustering, assigning data points to clusters based on proximity and minimizing squared distances within clusters.
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
