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 ...

RPSC 1st Grade School Lecturer 2026: The Rajasthan Public Service Commission (RPSC) is successfully conducting the RPSC 1st Grade School Lecturer 2026 May 31, 2026, to June 11, 2026 at various ...

“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 ...

The popular new show is resonating deeply beyond borders for its exploration of the challenges of modern schooling.

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 ...

ROANOKE, Va. – The Star City is celebrating a major milestone with the completion of the Eureka Recreation Center renovation. The center will officially reopen to the public on June 15. Originally ...

EUREKA, Mo. — One man was killed by Eureka police after firing shots at officers Thursday night at a home in the Windswept Farms subdivision. Shortly before 8 p.m., officers responded to the 1500 ...

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 ...

Movie S4. Task solution in Experiment 3. This movie shows a bee solving the task in Experiment 3. The beginning of the video (habituation phase, without the ball present) is shown at accelerated speed ...

Discover a wide range of hands-on STEM resources and lesson plans designed specifically for 4-H educators, volunteers, and teachers. This collection includes engaging activities, classroom guides, and ...

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 ...