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Mathematicians Outwit Hidden Number Conspiracy
Decades ago, a mathematician posed a warmup problem for some of the most difficult questions about prime numbers. It turned out to be just as difficult to solve, until now....
Mathematicians Clear Hurdle in Quest to Decode Primes
...it works.) In the years since Riemann proposed it, the Riemann hypothesis has instigated many advances in mathematics, though mathematicians have made little progress on the question itself. Given that...
How to Write Software With Mathematical Perfection
...How are they different? Coq was designed to do real mathematics and to be able to capture the reasoning that mathematicians do. It’s what Georges Gonthier used to prove the...
Old Problem About Mathematical Curves Falls to Young Couple
...inspire developments in cryptography, digital storage and other areas well beyond pure mathematics. Still, Vakil said, it’s not enough to understand interpolation for most curves. Mathematicians want to know it...
Mathematicians Prove Hawking Wrong About the Most Extreme Black Holes
...they are by their proof that extremal black holes can exist. “This is a beautiful example of math giving back to physics,” said Elena Giorgi, a mathematician at Columbia University....
Amie Wilkinson Sees the Dynamic Chaos in Puff Pastry
...10-chain. I don’t know. Well, I mean, that’s a huge component of what I do as a mathematician. Not all pure mathematicians think that way, but that’s what sets me...
How Is Science Even Possible?
How are scientists able to crack fundamental questions about nature and life? How does math make the complex cosmos understandable? In this episode, the physicist Nigel Goldenfeld and co-host Steven...
Mathematicians Tame Rogue Waves, Lighting Up Future of LEDs
The mathematician Svitlana Mayboroda and collaborators have figured out how to predict the behavior of electrons — a mathematical discovery that could have immediate practical effects. In the 1950s, Philip...
Mathematicians Prove 2D Version of Quantum Gravity Really Works
...of mathematicians has done what many researchers thought impossible. In a trilogy of landmark publications, they have recast Polyakov’s formula using fully rigorous mathematical language and proved that the Liouville...