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Related lectures (55)
Optimal Transport: Rockafellar Theorem
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Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.
Sparsest Cut: Leighton-Rao Algorithm
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Covers the Leighton-Rao algorithm for finding the sparsest cut in a graph, focusing on its steps and theoretical foundations.
Integration on H_pxH and Arithmetic
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Explores integration on H_pxH and arithmetic properties, including norms, structures, and polynomial factorization.
Cauchy-Hadamard Theorem
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Explores the Cauchy-Hadamard theorem on convergence radius of power series and real analytical solutions.
Joint Equidistribution of CM Points
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Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.
Preliminaries in Measure Theory
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Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.
Convergence of Random Walks
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Explores the convergence of random walks on graphs and the properties of weighted adjacency matrices.
Hadamard Factorisation
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Covers the Hadamard factorisation theorem for entire functions of order at most 1.
Relative Homology: Exact Sequence
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Covers the long exact sequence of relative homology groups and chain complexes.
Caratheodory Bounds: Integer Programming
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Covers Caratheodory bounds for integer programming, focusing on linear programming and the existence of optimal solutions.
Quantum Dynamics: Spectral Decomposition
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Explores the spectral decomposition of Hilbert space and its implications in quantum dynamics.
Proof of Strong Duality
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Covers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.
Induced Homomorphisms on Relative Homology Groups
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Covers induced homomorphisms on relative homology groups and their properties.
Lipschitz Maps and Compact Domains
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Covers Lipschitz maps, compact domains, changing variables, counting problems, and probability of ideals.
Data Abstraction: Modules and Specifications in Coq
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Discusses data abstraction in programming, focusing on modules and specifications in Coq.
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