We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
I’ve successfully run the full retained MaleCNS v1.0 fruit fly connectome, all 166,700 neurons, inside Minecraft, with its simulated neural activity driving a fly’s movement.
V1 Currently in development. Built with the help of GPT-6 Astra.
Props to the @OpenAI team and @thsottiaux for this release. Code and mod coming soon!
NPR announcer: "Roughly half of spring breakers used AI to give recommendations for which restaurants to eat at on their travels, according to a recent survey from the RAND corporation. This raises the question of the purpose of taste."
I can sort of understand staging an assassination attempt to garner political support during an election. But staging an assassination attempt to extract more funds to build a ballroom seems pretty deplorable.
Physicist has written a fascinating big beautiful paper.Let’s not be afraid to call it what it is - groundbreaking. For hundreds of years, mathematics had dozens of “basic” functions: sine, cosine, logarithm, square root, exponential. You know these from school. Everyone does. Now it turns out that all of it is one single operator:
E(x, y) = exp(x) - ln(y), and the constant 1.
Sin, cos, π - everything follows from this neatly , just nest it properly. Nature hid the simplest possible description of reality. And it was just been found. The whole thing is beautiful and remarkable, here the word “groundbreaking” is not a marketing buzzword.
For instance, instead of writing π or 3.14, one can now elegantly write E(E(E(1,E(E(1,E(1,E(E(1,E(E(1,E(E(1,E(1,E(E(1,1),1))),1)),E(E(E(E(E(1,E(E(1,E(1,E(E(1,E(E(E(1,E(E(1,E(1,E(E(1,1),1))),1)),E(E(1,E(E(1,E(E(1,E(E(1,1),1)),E(E(E(1,E(E(1,E(1,E(E(1,1),1))),1)),E(1,1)),1))),1)),1)),1)),1))),1)),E(E(E(1,E(E(1,E(1,E(E(1,1),1))),1)),E(E(1,E(E(1,E(1,E(E(1,E(E(1,E(E(1,E(1,E(E(1,1),1))),1)),E(1,1))),1))),1)),1)),1)),1),1),1))),1))),1)),E(E(E(1,E(E(1,E(1,E(E(1,1),1))),1)),E(E(1,E(E(1,E(1,E(E(1,E(E(1,E(E(1,E(1,E(E(1,1),1))),1)),E(1,1))),1))),1)),1)),1)),1)
https://t.co/Pv2UUbTEay
@WarMonitor3 Iran called Trump's civilization-annihilation bluff. Trump unilaterally declares Iran agreed to a ceasefire and will open the Strait, just before his self-imposed deadline. Iran takes this opportunity to claim Trump agreed to their maximalist demands.
1/ Russian forces in Ukraine are experiencing a devastating loss of connectivity as the Starlink terminals they rely upon are systematically shut off. With Russia's own Starlink alternative years away from implementation, Russian warbloggers say the army is in crisis. ⬇️
Scientists identified ribose (used in RNA) and – for the first time in any extraterrestrial sample – glucose, a major energy source for life. These sugars join nucleobases and phosphates previously found, demonstrating the full suite of RNA building blocks were present on the ancient asteroid.
They're coming after your average soldier! The alcoholic crusader committing war crimes with terrible OPSEC is just stumblebumming in the way.
https://t.co/4VFqz77rUd
Textbook war crime/extrajudicial killing
"Two survivors were clinging to the smoldering wreck. The Special Operations commander overseeing the Sept. 2 attack ... ordered a second strike to comply with Hegseth’s instructions."
reporting by @AlexHortonTX@nakashimae
TSMC has achieved early production yields at its first plant in Arizona that surpass similar factories in Taiwan, a significant breakthrough for a US expansion project initially dogged by delays and worker strife https://t.co/9PcFIMAlSQ
I and twenty-two other Nobel economists signed a letter endorsing Kamala Harris for President.
We believe Harris's policies will result in a stronger economic performance, with economic growth that is more robust, more sustainable, and more equitable.
https://t.co/y7DPaDw8IS