I’ve made a visualization of the counterexample to the jacobian conjecture which involves high school math, three lines and two parabolas. In fact this diagram can be easily be turned into a proof that the construction gives a counterexample. Enjoy! https://t.co/n4k0plZMF9 @__alpoge__
@JonathanLigmas@ElliotGlazer Sure, but unfortunately this statement is defined by one sentence. It’s also about how to evaluate interestingness of math object. Irre large size defined math object may be isolated, clearly we can find a way to reduce its defi if it related to something we know/will know.
@n_o_to I think the best test ground is problems that require less advanced math tool. AI is smart enough, but to have them solve a remarkable problem in fields like symplectic geometry, you may need to do a lot data labelling to train them, or it will return you many valuable bullshit.
@JonathanLigmas@ElliotGlazer I think many modern math objects already have thousands lines definition, if you count all prerequisites.
If a thousand lines defined math object is interesting, probably it will remain good after suitably deleting some of def. It’s art of repackaging complicated information.
@Razaliverpool@alemaca_LFC@LiverpoolZNE@bulinewsdotcom@nikkansports Indeed He admitted all accusations and it was widely reported by many authoritative medias. You can even find it in Wikipedia(but only Japanese version), it is in Japanese but you can use whatever AI for translation https://t.co/OVrs5hVMPS
A man who participated in a gang rape has been selected for the Japanese national team for the World Cup. In Japan, it is practically impossible for victims of sexual assault to go to court, and they are forced to settle out of necessity.
#WorldCup#KaisyuSano
Best paper I've read so far this month:
All elementary functions (sin, cos, tan, exp, log, powers, roots, hyperbolic functions, π, e, and even basic arithmetic) can be generated from just one binary operator:
eml(x, y) = exp(x) − ln(y)
…plus the constant 1.
Antonio Alfieri, Chi Cheuk Tsang: Heegaard Floer theory and pseudo-Anosov flows I: Generators and categorification of the zeta function https://t.co/SFzn3Fvvhj https://t.co/uTPAAsdm4l https://t.co/DP5WNaS4ZB
The Norwegian Academy of Science and Letters has decided to award the Abel Prize 2025 to professor Masaki Kashiwara. Kashiwara-san is the first Japanese mathematician to receive the Abel Prize.
#Abelprize#Abelprize2025#mathematics#science
I want to explain in down-to-earth terms what this paper is about, since it ultimately boils down to what I think are some really concrete and fundamental questions. 1/n