This circle has the equation x2 + y2 = 25, and it contains rational points, like (0, 5) and (3, 4), as well as other points, like (2, \sqrt {21}) and (\sqrt {11}, - \sqrt {14}). But knowing just one ...

These results form the mathematical foundation of related spectral and pseudospectral methods for solving partial differential equations on the half line. A spectral scheme using the modified Legendre ...

This is equivalent to the following result: If all critical points of a rational function lie on a circle in the Riemann sphere (for example, on the real line), then the function maps this circle into ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...