Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Explores Gaussian vectors, moment generating functions, independence, density functions, affine transformations, and quadratic forms.
Introduces iterative methods for linear equations, convergence criteria, gradient of quadratic forms, and classical force fields in complex atomistic systems.
Covers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.
