Binary Relations and Cartesian Products

Related lectures (26)

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Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Covers graphical models for probabilistic distributions using graphs, nodes, and edges.

Explores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.

Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.

Introduces network data structures, models, and analysis techniques, emphasizing permutation invariance and Erdős-Rényi networks.

Explores Belief Propagation in graphical models, factor graphs, spin glass examples, Boltzmann distributions, and graph coloring properties.

Covers graph properties, representations, and traversal algorithms using BFS and DFS.

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

Covers the analysis of functions, composition, and mathematical induction.

Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.