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Related lectures (52)

Convergence of Fourier Series Log in to Mediaspace to watch this video

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Zig Zag Lemma Log in to Mediaspace to watch this video

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Quantum Chemistry Log in to Mediaspace to watch this video

Covers eigenvalues, eigenfunctions, Hermitian operators, and the measurement of observables in quantum chemistry.

Fundamental Solutions Log in to Mediaspace to watch this video

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Harmonic Forms and Riemann Surfaces Log in to Mediaspace to watch this video

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Optimal Transport: Heat Equation and Metric Spaces Log in to Mediaspace to watch this video

Explores optimal transport in heat equations and metric spaces.

Graph Sketching: Connected Components Log in to Mediaspace to watch this video

Covers the concept of graph sketching with a focus on connected components.

Learning-aided Program Reasoning Log in to Mediaspace to watch this video

Explores bug-finding, verification, and the use of learning-aided approaches in program reasoning, showcasing examples like the Heartbleed bug and differential Bayesian reasoning.

Theorem Proving and Vampire Log in to Mediaspace to watch this video

Explores theorem proving in first-order logic and the saturation-based approach, highlighting the Vampire theorem prover.

Quantum Chemistry: Postulates and Harmonic Oscillator Log in to Mediaspace to watch this video

Explores the historical perspective and postulates of quantum mechanics, focusing on the harmonic oscillator and approximation methods.

Hermite Normal Form: Computation & Properties Log in to Mediaspace to watch this video

Covers the computation and properties of the Hermite Normal Form (HNF) in matrix theory and lattice theory.

Data Science Visualization with Pandas Log in to Mediaspace to watch this video

Covers data manipulation and exploration using Python with a focus on visualization techniques.

Untitled Log in to Mediaspace to watch this video

Optimal Transport: Theory and Applications Log in to Mediaspace to watch this video

Explores Lagrange multipliers, minimax theorems, and convex subsets in optimal transport theory.

Convex Optimization: Gradient Descent Log in to Mediaspace to watch this video

Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.

Introduction to Data Science Log in to Mediaspace to watch this video

Introduces the basics of data science, covering decision trees, machine learning advancements, and deep reinforcement learning.

Quantum Chemistry: Angular Momentum Log in to Mediaspace to watch this video

Covers quantum chemistry concepts related to angular momentum and precise measurements.

Sparsest Cut: Bourgain's Theorem Log in to Mediaspace to watch this video

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

Weak Formulation of Elliptic PDEs Log in to Mediaspace to watch this video

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Finite Element Method: Applications and Formulations Log in to Mediaspace to watch this video

Explores the application and formulation of the finite element method in solving various engineering problems.

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