Lectures related to Stiefel manifold

Covers signal representations using scaling functions and orthonormal properties.

Explores the concept of a direct frame in vector calculus and its properties, emphasizing the importance of understanding fundamental vector concepts.

Orthogonal Vectors and Projections

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

Orthogonal Bases, Orthonormal/Orthonormalized Bases

Introduces orthogonal and orthonormal families in vector spaces with scalar products.

Dynamics around an Axis: Moments and Inertia

Covers the calculation of moments of forces around an axis and the determination of principal axes of inertia.

Vectors: Coordinate Calculations

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.