Lectures related to Isotropic quadratic form

Explores symmetric matrices, diagonalization, and quadratic forms properties.

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

Explores quadratic forms, symmetries, representations, and orthogonal sums in mathematics.

Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.

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

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

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

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

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

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

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

Covers non-degenerate quadratic lattices, local representability, equidistribution, and the Siegel theorem.

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

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

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

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

Explores examples of algebraic quotients using invariance maps and discriminant.

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

Explores quadratic forms in IR³, matrix properties, diagonalization, and positive definite matrices.

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