Are two sets of data genuinely different, or is it because of randomness? This question, known as the two-sample testing problem, becomes notoriously difficult in modern datasets, because they are ...

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 ...

Did our AI summary help? "No problem can be solved until it is reduced to some simple form. The changing of a vague difficulty into a specific, concrete form is a very essential element in thinking".

Company says work on Paul Erdős planar unit distance problem shows advance in AI reasoning OpenAI has claimed a further advance in AI reasoning after its technology successfully tackled an 80-year-old ...

We may receive a commission on purchases made from links. Carrying out everyday home chores, such as cleaning, mowing, and cooking, consumes a large portion of the day, after which you are often left ...

In a world where scientific breakthroughs often bring fame, wealth, and global recognition, Grigori Perelman chose a completely different path. The Russian mathematician stunned the academic world ...

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 ...

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 ...

Case in point: no one has known who Oscar-winner Lupita Nyong’o is playing in The Odyssey… until now. And, not only does the character confirmation also confirm some longstanding (and ...

Are refugees more likely to commit crime? Is the ‘loneliness epidemic’ real? Does a fall in the UK's healthy life expectancy mean what you think it means? The known unknowns of Ebola in the Democratic ...

When Elon Musk gets mad, problems get solved... Barron Trump skips Don Jr.'s wedding amid tension claims Matthew Perry's assistant sentenced to 3 years in prison after family says he left actor in hot ...