@grapstipster@GuardiansP1zWin You are mentally challenged if you think that the best athletes in America play soccer. It’s not that it’s just about someone being tall. It’s about the fact that someone with these physical features was directed to play soccer instead of a different sport.
@theojaffee The AI generally was most flimsy on ochem/biochemistry from my experience. Its hard to prompt something to explain a chemical mechanism or predict the major project of reagents to begin with.
@davikrehalt@littmath@__alpoge__ Some visualisations that helped me understand this a bit better.
Just an enthusiast here.
It's actually pretty simple. And kind of obvious, that these polynomial maps could overlap or fold in high enough dimensions.
Credits: Visualisations created by Claude Opus 4.6.
@FakePsyho I am an engineer, but have always been interested in higher level mathematics so I have spotty knowledge. Knew nothing of this conjecture, but researched it once I saw this. Im sure some of the hype here is speculative but this is really damn impressive.
something that i have lamented about ai slowly getting better at obtaining nontrivial results in mathematics is that there will be a point in time in the not so distant future where there will be a class of problems “beyond” intelligence
hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final
((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)