然而令人费解的是，公司研发投入与研发人员数量均远低于同行水平。报告期内，乔路铭研发费用率分别为 3.42%、3.34%、2.79%、3.21%，同行平均值则为4.4%、4.52%、4.79%、5.11%；截至2024年末，公司研发人员仅189人，而同行平均值达到825人。在研发投入和研发实力明显偏弱的背景下，公司却能持续保持远高于同行的毛利率，这一奇特现象亟待公司进一步解释。同时，乔路铭到底向吉利汽车、比亚迪汽车销售了何种产品，为何能获得如此高的毛利率？
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.
走进影视城，一家人漫步古装剧取景地——锦绣唐园。眼前，青瓦白墙错落有致，小桥流水古韵悠悠。，更多细节参见体育直播
This document is placed in the public domain or under the
，更多细节参见体育直播
建造中的船舶办理抵押权登记，应当依照有关规定向船舶登记机关提交有关文件。。safew官方下载对此有专业解读
Eyes on AI cleverly walks users through the numerous ways their lives are being recorded and sold to surveillance apparatuses. Then, they are given the option to download a full report, complete with recommendations to curb personal data collection, resources about surveillance threats, and a glossary of some of the top surveillance actors who may be dealing in their data, including ICE and other government entities. Your personalized threats are categorized by the tech itself, like if you're at risk due to automated license plate readers (ALPRs) or predictive policing.