Frames of Reference: Physics 1Covers frames of reference in physics, emphasizing the importance of choosing a reference frame and the laws of physics in different frames.
Convergence Rate Theorem: Part 1Delves into the proof of the convergence rate theorem for an ergodic Markov chain, emphasizing eigenvalues and detailed balance properties.
Orthogonal DiagonalizationExplores orthogonal diagonalization of symmetric matrices using orthonormal bases and the Gram-Schmidt method.
Parts and Vectors in CoordinatesCovers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.
Isometries in Euclidean SpacesExplores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
