Abstract: This tutorial paper presents the mathematics behind the widely observed air-gap field modulation phenomena in electrical machines and derives the duality between electrical machines and ...

Abstract: Hodge theory provides a unifying view of the various line, surface, and volume integrals that appear in physics and engineering applications. Hodge theory on graphs develops discrete ...

The human brain operates as a tireless prediction machine. It watches a dropped glass and anticipates the shatter. It listens ...

We used eight piano learning apps on two different pianos over three weeks. From interactive tutors to old-school video lessons, here are the ones actually worth downloading.

Admired by a new generation including Bon Iver’s Justin Vernon and Vampire Weekend’s Ezra Koenig, his new album, “Indigo Park,” keeps pushing forward. Admired by a new generation including Bon Iver’s ...