Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...
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 ...
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 ...
“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 ...
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 ...
AI can rifle through enormous libraries of information to connect far-flung ideas—conceptual leaps remain a purely human skill. The planar unit distance problem, or Erdős problem 90, has intrigued ...
The U.S. blockade of Iran continues amid an uncertain round of peace negotiations, while Congress wrestles with the ongoing Department of Homeland Security shutdown and the looming lapse of a key ...
Elizabeth Guevara is a personal finance reporter who explains the world of business and economics and how it impacts your finances. She joined Investopedia in 2024. Investopedia / Photo Composite by ...
David Cutler is in the spotlight for his work on a tasty-sounding mathematics problem. In January, the New York Times featured a research paper authored by Cutler and Neil Sloane, the founder of The ...
The NBA plans to address tanking, but there are problems with the league's seven potential solutions
Last week, the NBA fined the Utah Jazz $500,000 for "conduct detrimental to the league" and the Indiana Pacers $100,000 for violating the league's Player Participation Policy after both teams altered ...
One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...
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