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 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 ...
A Palestinian boy sits at the site of an overnight Israeli military strike on structures and tents housing displaced families, killing ten Palestinians, in Gaza City, Thursday. Credit: AFP/OMAR ...
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 ...
OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...
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 ...
Basketball: NBA Commissioner Adam Silver speaks to the media during a press conference at the St. Regis Hotel New York, NY 9/10/2025CREDIT: Erick W. Rasco (Photo by Erick W. Rasco/Sports Illustrated ...
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 ...
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 ...
Some results have been hidden because they may be inaccessible to you
Show inaccessible results