Ukraine has battle-tested drone defenses
全国人大代表、中共上海市委宣传部副部长、上海社会科学院党委书记权衡表示，加快建设国际消费中心城市，要重点部署几方面，突出发展服务消费、首发经济、夜间经济、银发经济、数字消费、入境消费，同时加快文商旅体展深度融合，持续强化国际消费中心城市功能，更好发挥国际消费中心城市在促消费、扩内需中的作用。
With the power of M5 Pro and M5 Max on MacBook Pro, AI researchers and developers can train custom models locally, and creative professionals are able to leverage AI-powered tools for video editing, music production, and design work.。关于这个话题，体育直播提供了深入分析
杜拜：中東樞紐在伊朗攻擊下陷入困境，機場碼頭和著名酒店現場直擊，详情可参考搜狗输入法下载
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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.