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 ...

Discover the legacy of John Nash, the Nobel Prize-winning mathematician behind the Nash Equilibrium and a key figure in game ...

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 ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

We outline our long-term Bitcoin capital market assumptions, projecting a 15% base-case CAGR, a $2.9M valuation by 2050, and ...

A context-driven memory model simulates a wide range of characteristics of waking and sleeping hippocampal replay, providing a new account of how and why replay occurs.

Daniel Liberto is a journalist with over 10 years of experience working with publications such as the Financial Times, The Independent, and Investors Chronicle. Andy Smith is a Certified Financial ...

Abstract: This article proposes an inverse design method based on numerical Green’s function (NGF-IDM) to achieve the intelligent and efficient design of waveguide devices. Inspired by the metal ...

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