Lecture

Signal Representations

Related lectures (28)

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Explores polynomial operations, properties, and subspaces in vector spaces.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

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

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

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

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

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

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

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Covers the definitions and properties of vector spaces, including axioms and examples.

Introduces function spaces and Hilbert spaces, discussing inner product spaces and the importance of completeness in Hilbert spaces.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.