A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working on with my student N. Alpay. Not an Erdős problem, but original research.

When a delicate object crashes onto the floor, most people expect it to shatter into several pieces. What they might not know, however, is that the sizes of those fragments—whether from a broken plate ...

Every developer eventually has a moment when JavaScript objects “click.” These structures hold data, define behavior, and connect everything from variables to complex web apps. Learning how objects ...

A 3D random walk can get very complicated very quickly, as shown in this simulation. Image credit: Tsvi Tlusty (Ulsan National Institute of Science and Technology, Ulsan, South Korea) and Jean-Pierre ...

SPONSORED – Mathnasium is offering a unique approach to learning math as students head back to school this fall. The math learning center provides a different approach to learning math compared to ...

A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture. In 360 BCE, Plato envisioned the cosmos as an ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Bill Clinton on opposing President Trump's agenda: "We cannot throw the legacy of this country away" How Often Should I Change Synthetic Oil? How to hard boil eggs without using water NAACP Demands ...

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question. Mathematics started with numbers — clear, ...