Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.

Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

You’re reading The Financial Page, John Cassidy’s weekly column on economics and politics. In the early nineteen-nineties, when Arindrajit Dube was growing up in Seattle, where his parents were ...

Abstract: When realizing multiagent optimal consensus control, it may encounter the situation that malicious agents transmit false information. Besides, due to the unreliability of information ...

Quantum computers are already here, but they make far too many errors. This is arguably the biggest obstacle to the technology really becoming useful, but recent breakthroughs suggest a solution may ...

Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...

In parts of the Middle East and North Africa, a patchwork of sanctions, payment failures, and licensing gaps pushes people into piracy networks. In the Middle East, piracy is illegal in countries with ...

In a dark room, in the middle of the night, a woman lies dreaming. Suddenly, her eyes beneath their lids dart crisply left-right, left-right. The eye signal means she knows she’s dreaming. Lucid ...

At a secret meeting in 2025, some of the world's leading mathematicians gathered to test OpenAI's newest large language model, o4-mini. Experts at the meeting were amazed by how much the model's ...

The findings, published in Personality and Individual Differences, show that people with strong ADHD symptoms, such as inattention, hyperactivity and impulsivity that can impair some aspects of daily ...

It's a well-known fact that quantum calculations are difficult, but one would think that quantum computers would facilitate the process. In most cases, this is true. Quantum bits, or qubits, use ...