前几天,arXiv 上出现了一篇论文,标题很长: A formalization of the De Giorgi–Nash–Moser theory in Lean 4 。如果你不搞定理证明,可能会直接划走。但我建议你停一下——这篇论文或许标志着一个对 PDE 研究者 真正有用的新方向正在成型。 我不是 Lean 用户,代码一行没跑过。但读完这篇论文之后 ...
Yet, in fact, as I shall show here with very good reasons, the properties of the numbers known today have been mostly discovered by observation, and discovered long before their truth has been confirmed by rigid demonstrations. ——Leonhard Paul Euler ...