Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

If you enjoyed this article, I’d like to ask for your support. Scientific American has served as an advocate for science and industry for 180 years, and right now may be the most critical moment in ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Companies are shifting from running everything on the most powerful AI model to matching each task to the right one, a practice called model routing. The pressure for efficiency comes as large ...

News that large language models (LLM) have made major advances in solving Erdős problems – a set of problems formulated by the renowned 20 th-century mathematician Paul Erdős – has created an ...

'Inside The Ropes' is the chance for Golf Monthly's expert team to share its honest thoughts on the biggest subjects in the game. This week, we discuss what can be done about golf's distance problem.

Know how to get the most out of your predictive tools. by Michael Luca, Jon Kleinberg and Sendhil Mullainathan Most managers’ jobs involve making predictions. When HR specialists decide whom to hire, ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

The cognitive processes driving social media use could be key to understanding social media’s impact. Here, the authors develop a computational model of real-world social media behaviour, identifying ...