工具与资源castel.dev
我如何在数学课上用 LaTeX 和 Vim 记笔记
How I'm able to take notes in mathematics lectures using LaTeX and Vim
2019 — 2024，它一次次回到首页
黑点是上首页（≥ 50 分）的那次投稿，空心点是没冲上去的投稿，点越大分数越高。
导读
这篇文章介绍作者如何用 LaTeX 和 Vim 在数学课上实时记笔记，并分享让输入速度跟得上讲课的配置与技巧；他称累计笔记超过 1700 页。文中展示的成果接近教科书排版，也引发了关于课堂记笔记与理解课程如何平衡的讨论。
为什么经久不衰：它既是高效工具流的展示，也是“课堂该记笔记还是专心听懂”这一争论的经典样本，今天仍能启发人设计自己的笔记系统。
HN 评论精选
质疑实时精细记笔记会挤占理解课程的时间。
作为一项个人成就，这确实很惊人，但我怀疑是否值得花宝贵的课堂时间，让脑子完全忙于机械的记笔记，而不是真正吸收和参与内容。尤其数学这种内容密度极高的学科，你需要全部注意力来处理听到的内容并跟上逻辑。网上从不缺学习材料。把记笔记作为学习过程的一部分是一回事，那有助于巩固理解；但在刚接触一个主题时就现场记这么细，肯定帮助不大。
kinkrtyavimoodh查看英文原文
As a feat in itself this is definitely very impressive, but I wonder if it's really worth anyone's time to spend precious lecture time with your mind fully occupied in the mechanical task of taking notes rather than actually absorbing and engaging with the content. Especially for an extremely content-dense subject like Mathematics, where you need all your concentration just to process what you are reading and follow along the logic. There is absolutely no dearth of study material on the internet. It's one thing to take notes as part of your study process. There it helps solidify your understanding. But surely taking notes on the fly when you have been barely introduced to the subject isn't going to help with that.
主张课堂用纸笔抓结构、课后整理，实时精修笔记得不偿失。
我不赞同。也许对 LaTeX 和 Vim 水平极高的人可行，但即便用了两者 20 年，我也不会这么做。课堂的重点是吸收结构和基本理解，不是当场产出整洁完整的笔记。记到这种细节，说明你在记笔记上投入的精力超过了学习本身。用纸笔：边听边记结构，用速记记下听懂的内容，把没懂的留到复习；两小时线性电路课后我常只带走几页 A4。很多讲师只要开口也会给讲义。当天结束再对照参考资料无妥协地整理笔记，那时你才能结构、延伸并转成自己理解的语言。
setquk查看英文原文
I don't agree with this. Perhaps it's possible for someone with exceptional LaTeX and vim knowledge, but even after using both for 20 years I wouldn't do this. The point of the lecture is to assimilate structure and basic understanding, not to produce a neat set of notes instantly. To take notes to this detail means you're putting more time into the note taking than the work. Use a pen and paper. Write down structure as it happens. Write down things you understand, short hand. Write down things you don't for later review. After 2 hour long linear circuits lectures I regularly waltzed off with a couple of pages of loose A4 for review. A lot of the time, our lecturers would give us a copy of the OHP stack if we asked them as well. Write your notes up at the end of the day with reference material at hand and no compromises. You can structure, extrapolate and transform things into your own understandable language then.
惊叹之余怀疑普通学生能否兼顾吸收与每日精修，但认可模板和速记思路。
1700 页笔记相当于一年每个工作日 9 页，记笔记量很大。博文很精彩，确实展示了出色的 LaTeX 和 Vim 实用知识，但我怀疑普通学生能否吸收这么多内容，还每天有时间把它打磨到如此精致的最终格式。不过，模板的使用肯定有可学之处。本质上作者似乎为自己开发了一套文字和数学的速记语言。我一直对解决“带宽问题”的方法很好奇（手写有 Quikscript，打字有速记），最想知道这些速记法是否真能促进学习吸收，以及是否适用于普通大众。
dangom查看英文原文
1700 pages of notes would translate to 9 pages/working-day in a year. That's a lot of note taking. The blog post is wonderful and does show outstanding LaTeX and VIM practical knowledge, but I'd be skeptical that the average student could absorb so much content and still have time to bring it to such a polished final format every day. Nonetheless, there's definitely a lesson to be learned here with respect to the usage of templates. In essence it seems like OP developed his own shorthand language for both text and mathematics. I'm always curious to hear about approaches that try to solve the bandwidth problem (as we have quickscript [1] for hand-writing and stenography [2] for typing). Most interestingly, I'd be curious to know whether these short-hand notations are actually capable of improving learning and assimilation, and whether they'd work for a general audience. [1] https://en.wikipedia.org/wiki/Quikscript [2] https://en.wikipedia.org/wiki/Steganography
赞叹成果，但表示自己听课时电子笔记难以兼顾理解。
“总计超过 1700 页笔记”——这绝对是非凡的成就，尤其这些笔记看起来几乎达到教科书质量！不过就我个人而言，我从来无法同时吸收讲座和做电子笔记。如果我需要理解，笔记一直只能用纸笔。再次说，这是惊人的成就。
hliyan查看英文原文
> which makes for a total of more than 1700 pages of notes That's an absolutely incredible feat, especially considering that the notes look pretty much textbook-quality! Although personally, I have never been able to both absorb a lecture and take electronic notes. If I need comprehension, my notes have always had to be pen-and-paper. Once again, this is an incredible feat.
历次讨论
同类还值得读
直接在浏览器中启动 Linux 内核
Boot a linux kernel right inside your browser.
Fabrice Bellard 的 JSLinux 页面，用 JavaScript 在浏览器里启动一个 Linux 内核，并提供一个可交互的终端环境。
工具与资源上首页 5 次 · 2011–2025bellard.orgHacker News 未公开功能与行为清单（2018）
A List of Hacker News's Undocumented Features and Behaviors (2018)
数据科学家 Max Woolf 整理的 Hacker News 未公开功能与行为清单，涵盖投票机制、排名算法、账号惩罚等社区运作细节。
工具与资源上首页 5 次 · 2019–2025github.comMapSCII：在终端中用盲文和 ASCII 渲染地图
MapSCII – Braille and ASCII map renderer for the console
MapSCII 是一个在命令行终端里渲染地图的开源工具，用盲文字符和 ASCII 字符把地理数据画成可交互浏览的字符地图。
工具与资源上首页 5 次 · 2017–2025github.com顶尖大学的免费在线课程
Free Online Courses from Top Universities
Open Culture 整理的一份免费在线课程合集，汇集了全球顶尖大学（如 MIT、斯坦福、耶鲁等）向公众开放的网络课程资源，涵盖音频、视频等多种形式。
工具与资源上首页 5 次 · 2010–2022openculture.com淘气字符串：容易引发用户输入问题的字符串清单
Naughty Strings: A list of strings likely to cause issues as user-input data
一个 GitHub 仓库，收录了大量容易让程序出问题的用户输入字符串，如特殊字符、emoji、SQL 注入片段、系统命令等，供开发者用于测试输入处理逻辑。
工具与资源上首页 4 次 · 2015–2020github.com