📁 Terence Tao, Fields Medalist mathematician, explains that neural networks do not understand concepts, but they uncover hidden patterns.
In knot theory, a classical neural network discovered correlations between mathematical invariants no one had anticipated.
It started as a black box, then became a real clue to deep structures humans had missed.
A pi-prime is a prime number that appears in the decimal expansion of π. The largest known pi-prime was discovered on May 29, 2016, by A. Bondrescu and contains 613,373 digits.
@DoroBaer@bmftr_bund A great contribution towards an European ecosystem of research enabling excellence and sovereignity made in Europe… thx @DoroBaer@bmftr_bund
Évariste Galois was a brilliant French mathematician who died tragically at the age of 20 from wounds sustained in a duel.
On the night before his death he famously scribbled down the foundations of what is now known as group theory - a field that profoundly influenced modern algebra and physics.
In closing his final notes Galois wrote:
"After this, I hope there will be people who will profit by deciphering all this mess. I embrace you warmly. - E. Galois"
Due to the influence of gravity, the Earth's core is 2.5 years younger than its crust.
In this paper, a group of scientists from Denmark revisited a claim by Richard Feynman, who famously suggested during a 1960s Caltech lecture that gravitational time dilation, an effect of general relativity, would make the core younger than the crust by "a day or two."
While the general concept was correct, Feynman's estimate was wrong and went largely unchecked until recently.