Chubby♨️ · @kimmonismus · X·2026-07-20 16:06·46天前
AI 导读

Anthropic 的 Claude Fable 5 给出了一个可手工验证的反例,推翻了自 1939 年悬而未决的雅可比猜想。该猜想认为,若多项式映射的雅可比行列式为非零常数,则其必有多项式逆映射。Fable 5 在周日晚间轻松解决了这一 87 年难题。

Chubby♨️@kimmonismus
68AI 编辑部评分,满分 100
2026-07-20 16:06· 46天前
AI 导读

Anthropic 的 Claude Fable 5 给出了一个可手工验证的反例,推翻了自 1939 年悬而未决的雅可比猜想。该猜想认为,若多项式映射的雅可比行列式为非零常数,则其必有多项式逆映射。Fable 5 在周日晚间轻松解决了这一 87 年难题。

Claude Fable 5 has produced a hand-checkable counterexample to the Jacobian conjecture, an open problem dating to 1939.

The conjecture says that a polynomial map with a constant non-zero Jacobian determinant must have a polynomial inverse.

An 87-year-old problem was casually solved by Fable 5 on a sunday evening. Insane times to live in.

leventhello 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...

来源:Chubby♨️· x.com