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 ...

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.

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 ...

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, ...

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 ...

As President Trump prepares for a reported visit to China, Washington will focus on the signals coming out of the meeting. It should also be asking a more uncomfortable question: How much insight into ...

👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are ...

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