Large language models (LLMs) have astounded the world with their capabilities, yet they remain plagued by unpredictability and hallucinations – confidently outputting incorrect information. In ...

Back in 1971, the late physicist Stephen Hawking made an intriguing prediction: The total surface area of a black hole cannot decrease, only increase or remain stable. So if two black holes combine, ...

Stephen Hawking’s 50-year-old theorem on how black holes merge together has been successfully tested thanks to huge advances in gravitational wave astronomy, which helped astronomers catch the waves ...

This deceptively simple math problem has stumped mathematicians for almost 300 years! Donald Trump reveals where US could strike Iran from Sen. Warren tells Fed and Treasury: No bailout for crypto ...

Nernst's theorem—a general experimental observation presented in 1905 that entropy exchanges tend to zero when the temperature tends to zero—has been directly linked to the second principle of ...

To find E within ΔABC such that AE sin BEC + BE sin CEA + CE sin AEB shall be a maximum.

How gravity causes a perfectly spherical ball to roll down an inclined plane is part of the elementary school physics canon. But the world is messier than a textbook. Scientists in the Harvard John A.

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article not ...

For their latest partnership, the luxury travel purveyor Rimowa has tapped British abstract artist Ptolemy Mann. She is adept at working with intricate, vivid textiles and now adds her colorful ...

The old adage goes that if you give an infinite number of monkeys an infinite amount of time hitting random keys on a typewriter, one of them will eventually type out the complete works of William ...