Introduces categories as collections of objects with morphisms and identity morphisms.
Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Delves into symmetries in physics, covering group theory, perturbation, and quantification.
Covers the concept of the Cartesian product, emphasizing the order of elements in pairs.
Explains k-means clustering, assigning data points to clusters based on proximity and minimizing squared distances within clusters.
