На Украине рассказали о технике влияния Ермака на Зеленского14:52
Stone, who has been counting down to her treatment date, is among tens of thousands of passengers stranded.
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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.
配置不缩水，低价绝非低配消费电子市场向来“一分钱一分货”，但MacBook Neo打破了低价必缩水的行业惯例。，详情可参考WPS下载最新地址
Россиянин получил срок за текст об украинском военном формировании14:58
让新兴产业“新树扎深根”，重点在“育”。今天的未来产业可能是明天的新兴产业。无论是抢占科技和产业制高点，还是塑造新兴产业长远竞争优势，都离不开前瞻布局未来产业。“十五五”规划建议提出，“推动量子科技、生物制造、氢能和核聚变能、脑机接口、具身智能、第六代移动通信等成为新的经济增长点。”要着眼于未来，把科技创新摆在核心位置，加强前沿技术研发创新，为培育新兴产业开辟更多空间。，详情可参考PDF资料