A quantum computer is a machine designed to use quantum mechanics to do things which cannot be done by any machine based only on the laws of classical physics. Eventual applications of quantum ...

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 ...

Many powerful methods for solving systems of equations can be regarded as projection methods. Most of the projection methods known for solving linear systems are orthogonal projection methods but ...

The stiffness in some systems of nonlinear differential equations is shown to be characterized by single stiff equations of the form $$y' = g'(x) + \lambda \{y - g(x ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

To learn math, students must build a mental toolbox of facts and procedures needed for different problems. But students who can recall these foundational facts in isolation often struggle to use them ...