The Hairy Ball theorem, proved by Henri Poincaré in 1885, demonstrates that it's impossible to create a perfectly smooth hair pattern on a spherical surface. The theorem states that any continuous ...

When you chat with an AI assistant, you’re essentially talking to a character, one carefully selected from thousands of possible personas a language model could adopt. But what keeps that helpful ...

A study exploring the mechanisms behind why cognitive performance improves in response to exercise, has found that dopamine plays a key role. A study exploring the mechanisms behind why cognitive ...

Researchers are studying how hospitable our universe is to creating life. It’s related to the density of dark energy, which impacts star formation and the chances of life forming. The idea is that ...

Mystery solved! Here's what TL;DR means and why you keep seeing it online. It can be hard to stay current with the latest slang. Language (and internet culture) continues to evolve, resulting in an ...