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Related lectures (22)

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Linear Applications and Span

Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.

Properties of Weak Derivatives

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Extension of Linear Transformations

Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.

Branch and Bound: Formal Description

Covers the Branch and Bound algorithm, focusing on formal description and implementation steps to find optimal integer solutions.

Optimization and Simulation

Explores greedy heuristics in optimization, integrality constraints, and comparison of optimization methods.

Distribution to Spaces: Interpolation and Continuity

Covers weak derivatives, interpolation spaces, and continuity in function spaces.

Diffusion Equations in Spherical Coordinates

Explores solving diffusion equations in steady state conditions for concentric spheres with fixed concentration and flux, emphasizing the importance of linearity and homogeneity.

Advanced analysis II: second order linear ODEs

Explores second-order linear ODEs, solutions uniqueness, and linear independence.

Elliptic Partial Differential Equations

Covers the theoretical study of Elliptic Partial Differential Equations, including electrostatics and advection-diffusion-reaction equations.

Distribution Interpolation Spaces

Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.