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 ...

It was evening, and my preschooler declared she wanted to pick out her pajamas for the night. She confidently walked to her room and returned wearing a perfectly mismatched set. While practicing ...

There has been a great deal of speculation about the political consequences of Donald Trump’s “revenge tour” against Republicans he considers insufficiently loyal in the midterm elections. But over ...

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 ...

Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...

This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. News about AI math problem raises realization that finding counterexamples can be extremely ...

TUC warns of ‘crisis’ among young people struggling without basic qualifications Tom Cotterill is The Telegraph’s acting defence editor. He has previously written for The Daily Mail and MailOnline. A ...

A chatbot solution Recently, the company behind ChatGPT, OpenAI, announced that its internal AI model had made progress on a closely related version of this problem, which suggests that Erdős may have ...

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 ...

It’s said that AI could soon be coming for the jobs of artists, lawyers, and software engineers. But it might now also be threatening a role at the height of academia – are pure mathematicians safe?

The cosmological constant is the mathematical description of the energy that drives the ever-accelerating expansion of the cosmos. It's also the source of one of the most enduring and confounding ...