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 ...

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, ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

This marks one of the clearest examples so far of AI helping to solve a longstanding mathematical problem that had stumped the experts. Written for you by our author Paul Arnold, edited by Gaby Clark, ...

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 ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

PacifiCorp is asking state regulators to approve another increase in electricity rates in Oregon — and to let part of that increase take effect almost immediately while the case is under review. It’s ...

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In recent months, leaders in several cities and states have touted their schools’ sky-high graduation rates. Such figures usually justify celebration—but not when state exams and standardized test ...

The National Council of Teachers of Mathematics makes the argument that teachers, principals, and district leaders must “stay up to date on current AI trends” to prepare students for the future. But ...