How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Abstract: The Nelder-Mead simplex method is a well-known algorithm enabling the minimization of functions that are not available in closed-form and that need not be differentiable or convex.

The bees had to roll the ball under a blue "flower," then stand atop the moved object to access a sweet treat. Mikko Törmänen / University of Oulu Some bumblebees can spontaneously solve problems, a ...

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 ...

Contrary to their name, bumblebees are no bumbling oafs. A new study published in Science on Thursday found that these bees utilized tools to solve complex problems to win a sugary treat, even if they ...

Bumblebees faced with a challenge know how to play ball. Buff-tailed bumblebees can figure out on their own how to use a ball as a ladder to nab sugar from an out-of-reach fake flower, researchers ...

Despite having tiny brains, bumblebees have demonstrated a remarkable ability to socially learn how to use tools, solve simple puzzles, and cooperate to achieve a goal. It seems they can also solve ...

German psychologist Wolfgang Köhler set up a famous experiment more than 100 years ago that changed how scientists understand animal intelligence and the power of insight — or spontaneous ...

James is a published author with multiple pop-history and science books to his name. He specializes in history, space, strange science, and anything out of the ordinary.View full profile James is a ...

The tech giant says a breakthrough in data center networking has dramatically accelerated the flow of information through its massive cloud infrastructure. The new technology hinges on a “quasi-random ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...