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Related lectures (30)
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Building Ramanujan Graphs
Explores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Intersections of Lines and Medians
Explores intersections of lines and medians in a square geometry context.
Martingales: More Theory
Explores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.
Percolation Theory: FKG Inequality
Explores the FKG inequality in percolation theory and the reverse FKG theorem.
Expander Graphs: Properties and Eigenvalues
Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.
Block Pulled by a Spring: Dynamics
Covers the dynamics of a block connected to a spring, deriving equations of motion and solving for key time points.
Introduction to Euclidean Elements
Introduces the fundamental concepts of Euclidean geometry and the Elements of Euclid, exploring historical background, key propositions, and postulates.
The Line: Epure, Traces - Descriptive Geometry
Covers the concept of the line in descriptive geometry, focusing on epure and traces.
Axioms of Connection
Introduces the axioms of connection in Euclidean geometry, emphasizing unique lines and non-collinear points.
Analytical Geometry: Cartesian Equations
Explores Cartesian equations for lines in a plane and their parametric descriptions.
