Chain Rules: Higher Dimensional Versions

Related lectures (29)

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Covers the approximation of functions in Sobolev spaces using smooth functions.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Explores the theory of optimal transport, focusing on Lipschitz functions and uniqueness of solutions.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Explores sub/super harmonic functions and their applications in a theoretical context.

Covers the concept of differential operators and presents theorems and proofs related to scalar and vector fields.

Covers the generalization of the TAF theorem, lateral derivatives, limits of derivatives, and indeterminacy.

Explores the theorems on maximum and minimum values of functions and their relation to continuity.

Covers the demonstration of the chain rule and the theorem of Rolle.

Covers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.