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 ...

Mexico is on the verge of what could be a once-in-a-generation opportunity to make history at the 2026 World Cup. Just days ago, head coach Javier Aguirre described the upcoming tournament as a unique ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...

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 ...

Add Yahoo as a preferred source to see more of our stories on Google. Published in Chaos, Solitons & Fractals, the study by Alessio Zaccone and the late Kostya Trachenko doesn’t predict population ...

AI thrives on data but feeding it the right data is harder than it seems. As enterprises scale their AI initiatives, they face the challenge of managing diverse data pipelines, ensuring proximity to ...

Many students in elementary grades struggle to grasp the perennially vexing concept of fractions. If those struggles persist into middle school, it can undermine their ability to master more complex ...

Isolating the first spark of life on Earth is a matter of biology, geology, and chemistry—but it's also an amazing math problem. At least, that's how Varun Varanasi viewed it when he was a Yale ...

Uh, in terms of the analytics, it looks like *** lot of the tournament may be relatively by the chalk at the beginning, and, uh, but it's March Madness, and you never know when skill will be overtaken ...