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 ...
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 ...
On the evening of May 25, Ferrari unveiled the Luce, its first fully electric vehicle. Designed by Jony Ive and Marc Newson’s studio LoveFrom, the EV offers more than 1,000 horsepower and a zero-to-60 ...
This month, American moviegoers will watch Oscar-winner Brendan Fraser as Gen. Dwight D. Eisenhower in “Pressure,” alone in a storm-lashed Portsmouth headquarters in June 1944, weighing weather ...
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 ...
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Axiom Math is giving away a powerful new AI tool. But it remains to be seen if it speeds up research as much as the company hopes. Axiom Math, a startup based in Palo Alto, California, has released a ...
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The academic effects of the pandemic weren’t just limited to school-age children. Kids who were babies and toddlers in the early years of COVID, currently in 1st and 2nd grades, are now struggling too ...
GPT just keeps getting better at mathematics, increasingly solving the trickiest of problems. In January, AI testing company Epoch AI found that a previous version of the AI model, GPT-5.2 Pro had ...
Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...