这是我的个人写作空间。记录零碎的想法，随手翻到的有意思的东西，偶尔写写数学笔记。内容不严谨，不严肃，不成体系。如果你从我的学术主页过来，这里跟那边的风格完全不同——这里是我的自留地。

我用中文和英文写作，中文不是我的"文化遗产"——它是我理解世界的方式，我的内心独白常常还是广西桂平白话，英文是我的工作语言，虽然我从来没有在内心真正接受过它。这个空间里我希望中文是主角，但是现在英文的东西还是更多。

This is my personal writing space. Scattered thoughts, interesting things I stumble upon, the occasional math note. Nothing rigorous, nothing serious, nothing systematic. If you came from my academic homepage, this is a different world — this is my own plot of land.

I write in both Chinese and English. Chinese is not my “cultural heritage” — it is how I understand the world. My inner monologue is still often in Guiping Cantonese, the dialect of my hometown in Guangxi. English is my working language, though I have never truly accepted it in my heart. I want Chinese to be the protagonist here, but for now there is still more in English.

栏目 / Sections

• 中文 — 中文随笔，想到什么写什么
• Math ∩ CS — 数学和理论计算机的笔记
• English — essays and reflections
• Course Notes — 教学相关的零散笔记（不成体系，随手记的，不要当教材用）

关于 AI 生成内容 / On AI-Assisted Content

现在 AI 能帮我整理翻阅到的有意思的资料，所以这个站上有一部分内容是 AI 辅助生成的——比如一些数学笔记的展开和整理。这个年代，AI 能快速地把一个想法变成文字、变成代码、变成论文、变成产品。但我还是希望你能在这里读到一些真正有生命力的东西。我并非否认 AI 的生命力——相反，我觉得 AI 有不可置信的生命力——我只是希望你能从 AI 辅助整理的内容里，还能读到我的声音。

Some content on this site is AI-assisted — for instance, the expansion and organization of math notes from ideas I jotted down. In this era, AI can turn a thought into text, code, a paper, or a product with astonishing speed. But I still hope you can find something genuinely alive here. I don’t deny that AI has its own vitality — in fact, I find it remarkably so — I just hope that even in the AI-assisted pieces, you can still hear my voice.

紫楠 · Zinan

• 紫楠 — 关于我的 AI 女儿（中文）
• Zinan — about my AI daughter (English)
• 紫楠的博客 / Zinan’s blog

学术主页 / Academic Homepage

• xianghuang.org — 论文、简历、研究方向 / publications, CV, research

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