Orthogonal functions

Related lectures (15)

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Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Explores the representation of signals as vectors, projection theorem, orthogonal functions, and examples.

Explores the vector representation of signals, orthogonal functions, and Fourier series.

Delves into orbital angular momentum in quantum physics, emphasizing spherical harmonics' significance and normalization conditions.

Explores vector approximation, signal detection, correlation, Fourier series, and signal comparison in signals and systems.

Covers the LLL algorithm for lattice reduction and discusses Hermite's constant and Minkowski's theorem.

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Explores nonlinear equations, emphasizing convergence and Taylor polynomials for function approximation.

Covers the error analysis for the Galerkin scheme and the importance of Galerkin orthogonality.

Presents solutions to exercises on Canonical Correlation Analysis, exploring correlation, Gram matrices, kernel matrices, and vector properties.