Imagine balancing a ruler vertically in the palm of your hand: you have to constantly pay attention to the angle of the ruler ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

By applying new methods of machine learning to quantum chemistry research, Heidelberg University scientists have made significant strides in computational chemistry. They have achieved a major ...

Another day, another Google AI model. Google has really been pumping out new AI tools lately, having just released Gemini 3 in November. Today, it’s bumping the flagship model to version 3.1. The new ...

The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.

Neuroscientist Tamara Stawicki woke abruptly to her mobile phone ringing shortly after 1 a.m. on 24 August 2025. After a brief conversation, Stawicki got out of bed and drove to a quiet car park.

Autonomous vehicles have made remarkable progress over the past decade, accumulating millions of miles and performing well on highways, in controlled test areas, and in select urban zones. However, ...

How to Use AI to Get Better at Solving Daily Puzzles ...

Hearing a sound while working on a complex puzzle, and then hearing it again during sleep, helped lucid dreamers better ...

Researchers wonder whether the dreaming state might be doing more than you realize.

AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...

President Donald Trump, in a brief phone call with POLITICO, cast himself as the savior for a United Nations in danger of financial collapse, touting his ability to get members to pay unpaid dues. But ...