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Related lectures (31)
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Smooth Manifolds: Diffeomorphisms
Explores smooth manifolds through diffeomorphisms and embedded submanifolds in a linear space.
Optimal Transport: Rockafellar Theorem
Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.
Linear Forms in Vector Spaces
Covers the definition and properties of linear forms in vector spaces, including generating families and direct sums.
Calculus of Variations: Radon-Nikodym Theorem
Covers the Radon-Nikodym theorem and the uniqueness of signed Borel measures.
Objective function, Linearity and nonlinearity
Explores linear and non-linear functions in optimization, emphasizing their distinct characteristics and implications in solving problems.
MHD Stability and Equilibrium
Explores MHD equilibrium and stability, emphasizing energy considerations for determining stability.
Convolutional Networks: Motivation & Ideas
Explores the motivation and ideas behind convolutional networks, emphasizing weight sharing and pooling layers.
Functional Analysis I: Norms and Bounded Operators
Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.
Quantum Dynamics: Trajectory-Based Solutions
Explores quantum dynamics with trajectories and their applications in nonadiabatic dynamics and coupling with external fields.
General Linear Recurrence Relations
Covers the solution to linear homogeneous recurrence relations with repeated roots and of arbitrary degree.