Британский самолет-разведчик заметили в районе Крыма

· · 来源:tutorial资讯

苏姿丰也谈到 CPU 供应的紧张,称原因是市场规模比 3 个月、6 个月前预测的更大,供应链需要时间才能满足市场需求。其透露,AMD 与供应链的合作处于有利地位,能满足很大比例的需求,并将在 2026 年和 2027 年扩大供应能力。

只有物理隔断助记词的访问才能确保安全性,将助记词拍照保存到手机、上传到网盘都是非常不靠谱的做法,而使用过时的 iOS 版本则会放大攻击面。

太空小鼠顺利生产第三,推荐阅读clash下载获取更多信息

Труп уже увезли судмедэксперты. В региональном следственном управлении пока не комментировали произошедшее.

Abstract:This is a brief description of a project that has already autoformalized a large portion of the general topology from the Munkres textbook (which has in total 241 pages in 7 chapters and 39 sections). The project has been running since November 21, 2025 and has as of January 4, 2026, produced 160k lines of formalized topology. Most of it (about 130k lines) have been done in two weeks,from December 22 to January 4, for an LLM subscription cost of about \$100. This includes a 3k-line proof of Urysohn's lemma, a 2k-line proof of Urysohn's Metrization theorem, over 10k-line proof of the Tietze extension theorem, and many more (in total over 1.5k lemmas/theorems). The approach is quite simple and cheap: build a long-running feedback loop between an LLM and a reasonably fast proof checker equipped with a core foundational library. The LLM is now instantiated as ChatGPT (mostly 5.2) or Claude Sonnet (4.5) run through the respective Codex or Claude Code command line interfaces. The proof checker is Chad Brown's higher-order set theory system Megalodon, and the core library is Brown's formalization of basic set theory and surreal numbers (including reals, etc). The rest is some prompt engineering and technical choices which we describe here. Based on the fast progress, low cost, virtually unknown ITP/library, and the simple setup available to everyone, we believe that (auto)formalization may become quite easy and ubiquitous in 2026, regardless of which proof assistant is used.

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