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 ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

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 ...

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, ...

For decades, one of mathematics' most famous unsolved problems quietly frustrated some of the world's brightest minds. Now, OpenAI says one of its AI models has cracked it — not with step-by-step ...

We discuss how to work with directories, sub-directories, and traverse them using Java and the DirectoryStream method. Learn more. A directory is an organizational file system structure that contains ...

A famed physicist’s scribbles reveal the answer to a quintessential dilemma: When dining out, is it better to stick with an old favorite, or try something new? Nobel Prize–winning physicist Richard ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Many agree that the Tamil Nadu government under Vijay deserves time to settle in and deliver results. Its moves against mining cartels, mismanaged liquor outlets and fraudulent tenders have raised ...

IPO mania has begun, and nothing kickstarts initial public offerings like spreadsheets flashing green to incite the crowd. SpaceX’s recent S-1 filing promoted an “actionable total addressable market” ...

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 ...