Rhinecliff Folk Choir: The Rhinecliff Folk Choir has kicked off its spring season at Morton Memorial Library and Community House, 82 Kelly St., Rhinecliff. The choir, led by Eva Salina of Driftwood ...

OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...

“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 ...

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 ...

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 ...

See more of our trusted coverage when you search. Prefer Newsweek on Google to see more of our trusted coverage when you search. California voters head to the polls on Tuesday in a high-stakes primary ...

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 ...

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 ...

So you’ve connected a device to your PC via a USB port — but Windows doesn’t recognize it. What now? Before you assume the product (or your PC port) is broken, there are several USB troubleshooting ...

A famed physicist’s scribbles reveal the answer to a quintessential dilemma: When dining out, is it better to stick with an old favorite, or try something new? Nobel Prize–winning physicist Richard ...

For more than 175 years, The Associated Press has gathered, verified and published election results in thousands of races across the United States. AP’s commitment to delivering precise and ...