Abstract Variational Problems

Related lectures (31)

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Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers the quantization of topological operators and Ising models on square lattices.

Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.

Covers weak solutions in the finite element method, emphasizing continuity and the Cauchy-Schwarz inequality.

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.

Introduces Hilbert space as a big place where quantum systems evolve with unitaries.

Covers the geometric properties of the dot product and its algebraic aspects.