Navigating the world is no mean feat, especially when the world pushes back. For instance, airflow hitting a fly on its right ...

To navigate, the brain must convert changing sensations into a map-like sense of the world, which remains stable as the body moves. A new study finds that the fly brain sometimes performs the ...

Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

Foundational Concepts in Programming Industrial Robots. Before you can get a robot to do anything useful, you need to ...