Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

We associate a sequence of Toeplitz matrices with the rational formal power series $T(z)$. An algorithm for solving linear equations with a Toeplitz matrix from this ...

Solve the equation \(5(2c - 3) = 19\). The equation contains a set of brackets. The easiest way to solve equations with brackets is to expand the brackets. \(\text{Area of a rectangle} = \text{base} ...

Some equations have letters on each side of the equals sign, for example: \(4(k + 7) = 12k - 4\). Solve this equation by rearranging all the letters onto one side of the equation and all numbers onto ...

SIAM Journal on Numerical Analysis, Vol. 55, No. 6 (2017), pp. 3097-3119 (23 pages) We consider the problem of stabilizing a matrix by a correction of minimal norm: Given a square matrix that has some ...

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 ...