Gallery — Lecture Notes

The lecture notes are based on Tom Coates' lecture on toric varieties. A few references: M. Audin, Toric actions on symplectic manifolds W. Fulton, Toric varieties Cox-Schenck-Little, Toric varieties

Discret Hartley Transform is a unitary transform although its proof is hard to find in the Web. This short note explains that the Discrete Hartley Transform is an involution, which implies that this transform is unitary indeed.

Collection of statistics formulae taken from the perennial text book Lind, Douglas A. et. al. (2015): Statistical Techniques in Business and Economics, 16 ed. (2015).

This problem is an applied optimization problem. The problem is to minimize the area of the triangle formed by a tangent line to the function y = 1⁄9 x2. The triangle is defined by the origin, the x-intercept of the tangent line, and the y-intercept of the tangent line. Only triangles formed in the first quadrant are of concern.

this is an article about the examples of checked and unchecked exception.

Cramer's rule is usually explained by cofactor expansion of determinant. This note explains two alternative and simple proofs.

Lecture 15 (Randomized Algorithms)

Brief LaTeX file for HHO section

definiciones de los conceptos de la primera unidad