Lectures related to Dual basis

Explores optimal transforms, image applications, linear algebra, and 2nd-order statistics in image processing.

Explores canonical couplings in linear algebra, emphasizing their notation and usefulness in various applications.

Explores the dimension of linear maps and the construction of bases.

Covers the basics of vectors in 3 dimensions, including representation, unit vectors, and basis transformations.

Explores flow projection on stable and unstable manifolds using dual basis and Gram-Schmidt, with practical error quantification.

Explores the second quantification of fermions, including ventilation operators and annihilation rates.

Covers the hidden sub-group problem and the Simon algorithm in quantum computing.

Explores the matrix associated with reciprocal maps and properties of invertible matrices.