How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.

Leaders must provide structurally real rewards, like equitable sponsorship, to foster motivation, rather than blaming ...

High-achieving students—particularly young women—are being worn down by a system built on faulty premises. It's time to stop ...

SummaryRFIC design is a complex “dark art” that limits progress in wireless technologies like 5G, autonomous vehicles, and ...

Our guide was created by slot experts — learn how slots work, RTP explained, bankroll management, common mistakes and which ...

Why eating less and exercising more backfires after midlife. Here's what actually works.

Spread the loveWalk into almost any early childhood classroom today, and you’re likely to see a tension playing out: the natural, messy, curiosity-driven world of young children bumping up against a ...

ChatGPT's breakthrough is not what it seems.

A lock that anyone can close but only one person can open sounds impossible, yet it follows directly from Euler's phi ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

The second batch of “First Proof” problems is meant to evaluate AI’s usefulness for research-level math. The best model got six or seven of the ten questions right.

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...