A classic math rule now handles infinity. New work strengthens the math behind physics and unbounded systems. % ...

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 ...

Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights continue to shape physics. In the fall of 1915, the foundations of physics ...

in this video we'll look at an application of the probabilistic method to extremal set theory extremal set theory is an area of combinatorics concerned with questions such as what is the largest ...

In their peer-reviewed work, Calcea Johnson and Ne'Kiya Jackson present five new ways of proving Pythagoras' Theorem via trigonometry. They also detail a new method for finding proofs that yield at ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

Consider lunch. Perhaps a nice ham sandwich. A knife should neatly halve the ham and two bread slices. But what if you slip? Oops—the ham now rests folded under a ...

Abstract: This paper is about Jacobi’s triple product identity and Euler’s pentagonal number theorem. To be specific, it gives the proofs of Jacobi’s triple product identity via Gaussian polynomials ...

You might be surprised to learn that you can’t comb the hairs flat on a coconut without creating a cowlick. Perhaps even more surprising, this silly claim with an even sillier name, the “hairy ball ...

Maxine Calle is a 2023 AAAS Mass Media Fellow at The Conversation U.S. and she receives funding from the National Science Foundation. David Bressoud does not work for, consult, own shares in or ...

A mousy math prodigy battles sexism, romantic disillusion and entrenched academic prejudice as she solves for x in a movie that cannot solve for why. Marguerite Hoffman (Ella Rumpf, “Raw”) is a ...