Our latest paper will hopefully be useful to people new to crystal plasticity and explains our code starting from the fundamental equations. Code, examples and paper are open access.
OXFORD-UMAT: An efficient and versatile crystal plasticity framework https://t.co/aCDXC5vCWy
James Maynard: The Prime Number Genius Who Conquered the Fields Medal
James Maynard (b. 1987) is an English mathematician and Professor at Oxford University, renowned for his groundbreaking work in analytic number theory.
In 2013, he revolutionized the study of prime gaps by developing a powerful new multidimensional sieve, proving that there are infinitely many prime pairs differing by at most 600 (later improved to 246). This was a major leap toward the Twin Prime Conjecture.
His further breakthroughs include results on large gaps between primes, bounded intervals containing prime clusters of any fixed length, and solving the Duffin-Schaeffer conjecture. These achievements earned him the Fields Medal in 2022.
The 5 hardest open problems in engineering right now:
1. Nuclear fusion
We've been "20 years away" for 70 years. In 2022, NIF finally achieved ignition. The problem now: how do you build a commercial reactor around a reaction that lasts 100 nanoseconds?
@IAmTimNguyen This is above my pay grade (I’m an engineer not a mathematician) but when I do maths it does feel like a discovery. I love that AI is now better at maths than I am; it’s like having someone in my pocket to check my work and bounce ideas off anytime of the day or night!
Science fiction nerds are gonna hate me for saying this but the Great Filter is that interstellar travel is probably more or less impossible and there is no reason to come up with any other explanation for that.
@AshtonForbes On slide 1 they define a gauge potential phi then the standard field tensor F_ij the problem is if phi is the gradient of a scalar then F_ij = 0 as mixed partial derivatives commute. The equations as written appear to define a field tensor that mathematically cancels itself out.
@ProofofMaro Personal choice. I never had any interest in making money. There are far my interesting things in life. Some of my friends I studied physics with have made a lot of money though.
@JamesMelville This looks like the worst place to put them!! I’m very worried vibrations from passing trains will generate fatigue cracks in the panels destroying their efficiency!
@skdh@DrBeaVillarroel@Rizstanford It sounds like defects in the photographic emulsion rather than UFOs. Old glass plates are fragile, small scratches, dust specks, missing emulsion etc could create spots. Has that been ruled out?
@ReadySetBrian That’s impressive. My solution was trivial in comparison! I’ll give you a hint: it’s impossible to solve just by looking at the numbers in the series…