As a resource specialist program teacher, I often work with students who know how to add, subtract, multiply, and divide during isolated math practice, but completely freeze when those same skills ...
Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...
Add Yahoo as a preferred source to see more of our stories on Google. When you buy through links on our articles, Future and its syndication partners may earn a commission. The distance players have ...
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 ...
Alan Milburn says youth unemployment has no quick fixes – an idea with an important lesson for those thinking about how to rejoin the EU Mainstream politicians are rarely direct. It is part of the ...
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 ...
Top Democratic officials and lawmakers are breaking with Democratic Maine Senate candidate Graham Platner as his past blunders and online history stack up. Platner’s ascendency to the top of the ...
Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...
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, ...
A long-standing problem in discrete geometry involving how many pairs of points can be exactly one unit apart has been addressed using an artificial intelligence system developed by OpenAI, according ...
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 ...