Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...
$$ K_\sigma^{\text{G}}(x) = \frac{1}{\sqrt{2\pi}\sigma} e^{-\frac{x^2}{2\sigma^2}} $$ Fourier transform: $\hat{K}_\sigma^{\text{G}}(\xi) = e^{-2\pi^2\sigma^2\xi^2 ...