For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

SIAM Journal on Numerical Analysis, Vol. 23, No. 1 (Feb., 1986), pp. 170-177 (8 pages) Dixon's theorem (Math. Programming, 2 (1972), pp. 383-387) states that all variable metric methods in the Broyden ...

The first proof that many people ever learn, early in high school, is the ancient Greek mathematician Euclid’s proof that there are infinitely many prime numbers. It takes just a few lines and uses no ...

For thousands of years, mathematicians have adapted to the latest advances in logic and reasoning. Are they ready for artificial intelligence? By Siobhan Roberts In the collection of the Getty museum ...

An AI system developed by Google DeepMind, Google’s leading AI research lab, appears to have surpassed the average gold medalist in solving geometry problems in an international mathematics ...