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Related lectures (37)

Quantum Eigenfunctions Log in to Mediaspace to watch this video

Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.

Properties of Real Numbers: Bounds, Density, Absolute Value Log in to Mediaspace to watch this video

Covers the properties of real numbers, including bounds, density, and absolute value.

Introduction to Analysis Log in to Mediaspace to watch this video

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Resolving Operators: Closedness and Injectivity Log in to Mediaspace to watch this video

Discusses resolving operators' closedness and injectivity in Banach spaces.

Sparsest Cut: ARV Theorem Log in to Mediaspace to watch this video

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

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Partial Derivatives and Differential Equations Log in to Mediaspace to watch this video

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Residue Theorem: Calculating Integrals on Closed Curves Log in to Mediaspace to watch this video

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Simplicial Homology: Structure and Complexes Log in to Mediaspace to watch this video

Covers the structure of topological spaces with A-complexes and chain complexes.

Joint Equidistribution of CM points Log in to Mediaspace to watch this video

Explores the equidistribution of CM points in toral sets with periodic measures and compact abelian varieties.

Properties of Continuous Functions Log in to Mediaspace to watch this video

Covers the properties of continuous functions and explores inverse and injective functions with examples.

Two Definitions of Group Action Log in to Mediaspace to watch this video

Explores two definitions of group action on a set, focusing on properties and applications.

K-means Algorithm Log in to Mediaspace to watch this video

Covers the K-means algorithm for clustering data samples into k classes without labels, aiming to minimize the loss function.

Linear Equations: Matrix Notation & Solutions Log in to Mediaspace to watch this video

Covers matrix notation for linear equations, solutions, and geometric interpretations.

Affinity and Ellipses in Descriptive Geometry Log in to Mediaspace to watch this video

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Singular Value Decomposition, Pseudoinverse Log in to Mediaspace to watch this video

Covers Singular Value Decomposition and Pseudoinverse, explaining their applications in data compression and linear systems.

Closure Conversion and Dataflow Analysis Log in to Mediaspace to watch this video

Explores closure conversion, function hoisting, and dataflow analysis for program optimization.

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