Metric map

Related lectures (21)

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Covers key concepts in nonlinear dynamical systems, such as existence, uniqueness, and continuous dependence of solutions.

Covers Lipschitz maps, compact domains, changing variables, counting problems, and probability of ideals.

Discusses the application of the main theorem to least square regression in a RKHS, focusing on LR of the Rademacher bound and Lipschitz constant.

Explores the Serre model structure, focusing on left and right homotopy equivalences.

Explores the resolution of ODEs and the Banach fixed-point theorem.

Covers the Intermediate Value Theorem, uniform continuity, Lipschitz functions, and the properties of continuous functions.

Introduces singular homology, defining singular simplices and explaining the chain complex construction.

Explores fixed point theorems, recurrent sequences, and convergence properties, emphasizing the significance of fixed points in analysis.

Explores uniform continuity, Lipschitz functions, and the intermediate value theorem with examples and proofs.

Explores isoperimetric qualities, including Brunn-Rnkauskis inequality and Grünbaum's theorem, with proofs and examples.