Tag

Mathematicians

All articles tagged with #mathematicians

artificial-intelligence2 years ago

AI Breakthrough: DeepMind's Language Model Solves Unsolvable Math Problem

DeepMind's AI system, FunSearch, has demonstrated its ability to generate new solutions to mathematical problems in the field of combinatorics, surpassing what was previously known by mathematicians and computer scientists. FunSearch utilizes large language models to create short computer programs that can generate solutions to specific mathematical problems. The system then checks the generated solutions against known ones, providing feedback to improve future iterations. The AI system was able to improve on the lower bound for a specific problem in combinatorics, showcasing the potential for human-machine collaboration in mathematics.

mathematics2 years ago

"Mathematicians' Bold Journey to Precision"

Mathematicians Kevin Ren and Hong Wang have posted a proof of the Furstenberg set conjecture, a problem that has stumped mathematicians for two decades. The conjecture involves determining the minimum amount of dust covering an endless piece of paper with lines. Ren and Wang's proof, which is still a preprint and awaiting thorough review, combines two special cases previously proven by other mathematicians. The probability of correctness is estimated at 95%, and Ren hopes the final journal version will be as elegant as a work of art.