In this tutorial the equation of reflection off of any hypersurface, i.e. off a line in 2D and off a plane in 3D, is derived from the known observation that the angle of incidence equals the angle of reflection.
This tutorial introduces linear feedback shift registers (LFSR) and explains the Berlekamp - Massey algorithm to find the shortest LFSR for a given binary output sequence. An implementation of the algorithm in C++ is provided as well.
The goal of this tutorial is to define and investigate the structure of space-time and the corresponding group of transformations and to analyze the constraints imposed by Galileo's principle of relativity on Newton's equation of motion.
This tutorial explains how to describe planes as two-dimensional subspaces of the standard euclidean space, both in parametric and in normal form, as well as how to compute the normal vector of a triangle.
While the centroid of a polygon is indeed its center of mass, the mass is uniformly distributed over its entire surface, not only at the vertices. This tutorial explains how to compute the coordinates of the centroid of a convex polygon.