This is where Emmy Noether, a groundbreaking German mathematician, comes into the picture. She found a breathtakingly simple ...

Understand Thevenin’s Theorem the easy way with a clear, step-by-step circuit example. Learn how to simplify complex electrical networks into an equivalent circuit, making analysis faster and ...

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 ...

An eon ago, when only microbes dwelled on Earth, a pair of black holes some 1.3 billion light-years beyond the solar system spiraled toward each other until they crashed. The two became one big black ...

In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last Theorem, a central problem in number theory that had remained open ...

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article not ...

Abstract: In the field of signal processing, the sampling theorem plays a fundamental role for signal reconstruction as it bridges the gap between analog and digital signals. Following the celebrated ...

Ahead of the November presidential election, just 19% of Americans say democracy in the United States is a good example for other countries to follow, according to a Pew Research Center survey ...

Abstract: Low sampling frequency challenges the exact identification of continuous-time (CT) dynamical systems from sampled data, even when their models are identifiable. A necessary and sufficient ...