Lectures related to Periodic Solutions in Planar Systems

Explores Projected Gradient Descent and related optimization methods using Bregman Divergence.

Explores how sources and sinks affect the divergence of vector fields.

Explores exploration bias and generalization bound in KL divergences, emphasizing mathematical proofs and implications.

Explores divergence in vector fields, Laplacian notation, and proof for scalar and vector Laplacians.

Covers the concept of renormalization in Algebraic Quantum Field Theory.

Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.

Explores continuity equations and internal entropy production in various coordinate systems, emphasizing scalar functions and vector quantities.

Covers surface integrals, the divergence theorem, and Stocks' theorem through examples and analogies.

Covers the definition of current density and the general continuity equation with the effect of convection.