CUPERTINO, CALIFORNIA Apple today announced the latest 14- and 16-inch MacBook Pro with the all-new M5 Pro and M5 Max, bringing game-changing performance and AI capabilities to the world’s best pro laptop. With M5 Pro and M5 Max, MacBook Pro features a new CPU with the world’s fastest CPU core,1 a next-generation GPU with a Neural Accelerator in each core, and higher unified memory bandwidth, altogether delivering up to 4x AI performance compared to the previous generation, and up to 8x AI performance compared to M1 models.2 This allows developers, researchers, business professionals, and creatives to unlock new AI-enabled workflows right on MacBook Pro. It now comes with up to 2x faster SSD performance2 and starts at 1TB of storage for M5 Pro and 2TB for M5 Max. The new MacBook Pro includes N1, an Apple-designed wireless networking chip that enables Wi-Fi 7 and Bluetooth 6, bringing improved performance and reliability to wireless connections. It also offers up to 24 hours of battery life; a gorgeous Liquid Retina XDR display with a nano-texture option; a wide array of connectivity, including Thunderbolt 5; a 12MP Center Stage camera; studio-quality mics; an immersive six-speaker sound system; Apple Intelligence features; and the power of macOS Tahoe. The new MacBook Pro comes in space black and silver, and is available to pre-order starting tomorrow, March 4, with availability beginning Wednesday, March 11.
Overall, ChatGPT is a powerful tool for natural language
，这一点在51吃瓜中也有详细论述
Someone clones the repo on a new machine and asks you to send them the .env file
Recall that a barycentric coordinate system is given with respect to a -dimensional simplex, where is no larger than the dimensional space. Given a set of scattered points, it’s possible to create a tessellation of the space by forming simplices from the points, such that any input point that lies within the convex hull of the scattered set can be expressed in terms of the enclosing simplex and its corresponding barycentric coordinates2. This can be understood as a kind of triangulated irregular network (TIN).
，这一点在搜狗输入法下载中也有详细论述
Фото: David Becker / AP。关于这个话题，体育直播提供了深入分析
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.