For new discoveries, everyday mysteries, and the science behind the headlines, follow NPR's ShortWave podcast . Over a century ago, the German psychologist Wolfgang Köhler conducted what became a ...
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 ...
HE’S LIVE IN NEEDHAM, AS THIS WAS HEARD PRETTY MUCH ALL OVER AREA EVERYWHERE. JEN AND DAVID, WE HEARD IT OURSELVES AS WE WERE DRIVING RIGHT HERE THROUGH NEEDHAM EARLIER TODAY. IT WAS SO LOUD IT SHOOK ...
HUNTINGTON CO., Ind. (WISH) — Indiana State Police say they have identified the killer from a 1997 cold case. According to police, on Dec. 21st, 1997, 25-year-old Angela Saco was found dead on ...
After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...
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 ...
In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...
NEW YORK -- Authorities on Long Island believe they have closed a murder case that had been open for more than 40 years. In November 1984, 16-year-old Theresa Fusco disappeared after she was fired ...
This story contains mention of suicide. If you are at risk of suicide, please stop here and contact 988 Suicide & Crisis Lifeline for support. Michigan State Police announced that they had resolved a ...
The expectation-maximization (EM) algorithm is a cornerstone technique for parameter estimation in statistical models that incorporate latent variables or incomplete data. By iteratively alternating ...
Learn prompt engineering with this practical cheat sheet that covers frameworks, techniques, and tips for producing more accurate and useful AI outputs. Every day, millions of people type something ...
Detectives in Camden County said they were able to solve a decades-old homicide case involving two young women who were brutally murdered in the 1990s. Using an array of new DNA testing systems, ...