A casual lunch between friends in the late 1970s left behind one of physics' quirkiest unsolved puzzles. Nobel laureate Richard Feynman, while dining with his friend Ralph Leighton at a Thai ...
If, as novelist-philosopher Samuel Butler wrote in 1878, “a hen is only an egg’s way of making another egg”, then a galaxy may only be a black hole’s way of making another black hole. To put it ...
Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...
Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...
Despite having tiny brains, bumblebees have demonstrated a remarkable ability to socially learn how to use tools, solve simple puzzles, and cooperate to achieve a goal. It seems they can also solve ...
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 ...
A recent announcement that an artificial intelligence model succeeded in solving a decades-old mathematical problem that had eluded generations of accomplished mathematicians was widely portrayed as ...
“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 ...
The tech giant says a breakthrough in data center networking has dramatically accelerated the flow of information through its massive cloud infrastructure. The new technology hinges on a “quasi-random ...
Jeff Bezos touched a nerve last week when he argued that taxing billionaires would not solve public education’s problems or meaningfully improve teacher pay. Speaking on CNBC, the Amazon founder said ...
This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. News about AI math problem raises realization that finding counterexamples can be extremely ...