Covers the concept of affine transformations in functions, including shifting and compressing functions.
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Covers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.
Explores Gaussian vectors, moment generating functions, independence, density functions, affine transformations, and quadratic forms.
Delves into symmetries in physics, covering group theory, perturbation, and quantification.
