Lectures related to Binary quadratic form

Explores symmetric matrices, diagonalization, and quadratic forms properties.

Covers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.

Explores quadratic forms, symmetric bilinear forms, and their properties.

Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.

Explores symmetric matrices, quadratic forms, and critical points in functions of two variables.

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.

Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.

Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.

Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Covers non-negative definite matrices, covariance matrices, and Principal Component Analysis for optimal dimension reduction.

Explores the joint equidistribution of CM points for cubic fields, emphasizing periodic orbits and quadratic algebraic forms.

Explores examples of algebraic quotients using invariance maps and discriminant.

Covers elliptical distributions, including properties, applications, and risk management implications.

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.

Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, algebraic geometry, and intersection theory.

Explores Gaussian vectors, moment generating functions, independence, density functions, affine transformations, and quadratic forms.

Explores quadratic forms, Hecke operators, eigenvalues, and compactly supported functions in matrix theory.

Explores Hamiltonian mechanics, conservation laws, potential functions, and canonical transformations in analytical detail.