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 ...

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 ...

New algorithms for constructing the Hermite normal form (triangular) and Smith normal form (diagonal) of an integer matrix are presented. A new algorithm for determining the set of solutions to a ...

A function machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a function machine by writing out the functions that have been applied to \(j\) in the ...

A function machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a function machine by writing out the functions that have been applied to \(j\) in the ...

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 ...