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stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-width=\"2\">\u003Cpath d=\"M11.017 2.814a1 1 0 0 1 1.966 0l1.051 5.558a2 2 0 0 0 1.594 1.594l5.558 1.051a1 1 0 0 1 0 1.966l-5.558 1.051a2 2 0 0 0-1.594 1.594l-1.051 5.558a1 1 0 0 1-1.966 0l-1.051-5.558a2 2 0 0 0-1.594-1.594l-5.558-1.051a1 1 0 0 1 0-1.966l5.558-1.051a2 2 0 0 0 1.594-1.594zM20 2v4m2-2h-4\"\u002F>\u003Ccircle cx=\"4\" cy=\"20\" r=\"2\"\u002F>\u003C\u002Fg>",{"left":4,"top":4,"width":5,"height":5,"rotate":4,"vFlip":6,"hFlip":6,"body":44},"\u003Cg fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-width=\"2\">\u003Cpath d=\"M21.42 10.922a1 1 0 0 0-.019-1.838L12.83 5.18a2 2 0 0 0-1.66 0L2.6 9.08a1 1 0 0 0 0 1.832l8.57 3.908a2 2 0 0 0 1.66 0zM22 10v6\"\u002F>\u003Cpath d=\"M6 12.5V16a6 3 0 0 0 12 0v-3.5\"\u002F>\u003C\u002Fg>","\u003Cblockquote>\n\u003Cp>"不装 TeX，网页里怎么就把 \u003Ccode>.tex\u003C\u002Fcode> 渲染出来了？" 答案是两套完全不同的技术，对应两类需求。混淆它们，是大多数人理解偏差的根源。\u003C\u002Fp>\n\u003C\u002Fblockquote>\n\u003Cp>\u003Cimg src=\"\u002Fblog\u002Fhow-latex-runs-in-browser\u002Fcover.webp\" alt=\"文章核心论点配图\">\u003C\u002Fp>\n\u003Ch2>先分清两类需求\u003C\u002Fh2>\n\u003Cp>"在浏览器里处理 LaTeX"其实是两件事，技术栈不同：\u003C\u002Fp>\n\u003Col>\n\u003Cli>\u003Cstrong>只渲染数学公式\u003C\u002Fstrong>：网页内联公式、公式编辑器；\u003C\u002Fli>\n\u003Cli>\u003Cstrong>编译整篇 \u003Ccode>.tex\u003C\u002Fcode> 文档\u003C\u002Fstrong>：含 \u003Ccode>\\documentclass\u003C\u002Fcode>、章节、表格、分页、参考文献，输出 PDF。\u003C\u002Fli>\n\u003C\u002Fol>\n\u003Cp>第一类是轻量的"语法转换"，第二类是完整的"排版编译"。下面分别看。\u003C\u002Fp>\n\u003Ch2>一、公式渲染：KaTeX \u002F MathJax\u003C\u002Fh2>\n\u003Cp>把 \u003Ccode>\\frac{a}{b}\u003C\u002Fcode>、积分、矩阵渲染成漂亮公式，靠的是 \u003Cstrong>KaTeX\u003C\u002Fstrong> 或 \u003Cstrong>MathJax\u003C\u002Fstrong> 这类 JavaScript 库。它们做的是把 LaTeX 公式语法\u003Cstrong>解析并转换成 HTML\u002FSVG\u002FMathML\u003C\u002Fstrong>，并不运行真正的 TeX 引擎。两者取舍很实际：\u003C\u002Fp>\n\u003Ctable>\n\u003Cthead>\n\u003Ctr>\n\u003Cth>维度\u003C\u002Fth>\n\u003Cth>KaTeX\u003C\u002Fth>\n\u003Cth>MathJax\u003C\u002Fth>\n\u003C\u002Ftr>\n\u003C\u002Fthead>\n\u003Ctbody>\n\u003Ctr>\n\u003Ctd>渲染方式\u003C\u002Ftd>\n\u003Ctd>同步，DOM 一次写入\u003C\u002Ftd>\n\u003Ctd>异步，可能多次排版\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>体积与速度\u003C\u002Ftd>\n\u003Ctd>更轻、更快\u003C\u002Ftd>\n\u003Ctd>更重、更慢\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>TeX 命令覆盖\u003C\u002Ftd>\n\u003Ctd>常用数学命令子集\u003C\u002Ftd>\n\u003Ctd>覆盖更广，扩展更多\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>典型场景\u003C\u002Ftd>\n\u003Ctd>公式密集、实时预览\u003C\u002Ftd>\n\u003Ctd>需要冷门命令或复杂环境\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003C\u002Ftbody>\n\u003C\u002Ftable>\n\u003Cp>这类方案本质是\u003Cstrong>字符串到标记的转换\u003C\u002Fstrong>，通常在毫秒级完成，不涉及分页、交叉引用或参考文献引擎。\u003C\u002Fp>\n\u003Ch2>二、整篇文档编译：WebAssembly 版 TeX\u003C\u002Fh2>\n\u003Cp>要把一份完整 \u003Ccode>.tex\u003C\u002Fcode> 编译成分页 PDF，公式库远远不够，需要\u003Cstrong>真正的 TeX 引擎\u003C\u002Fstrong>。关键技术是 \u003Cstrong>WebAssembly（WASM）\u003C\u002Fstrong>：TeX 引擎原本是 C 语言写的本地程序，编译成 WASM 字节码后，可在浏览器 JS 引擎里以接近原生的速度运行。代表实现有 \u003Cstrong>SwiftLaTeX\u003C\u002Fstrong>、\u003Cstrong>texlive.js\u003C\u002Fstrong> 等，它们把 TeX 排版内核、必要字体和常用宏包一并打进前端资源包。\u003C\u002Fp>\n\u003Cp>典型数据流：\u003Ccode>.tex\u003C\u002Fcode> 源码 → 浏览器内 WASM TeX 运行时 → 本地完成排版与分页 → 输出 PDF。编译算力来自用户设备，不经过远端 TeX 服务。\u003C\u002Fp>\n\u003Ch2>客户端 WASM 与服务端 TeX：架构取舍\u003C\u002Fh2>\n\u003Cp>同一需求（网页里得到 PDF）可以走两条架构路，工程权衡如下：\u003C\u002Fp>\n\u003Ctable>\n\u003Cthead>\n\u003Ctr>\n\u003Cth>维度\u003C\u002Fth>\n\u003Cth>浏览器 WASM TeX\u003C\u002Fth>\n\u003Cth>远端\u002F自建 TeX 服务\u003C\u002Fth>\n\u003C\u002Ftr>\n\u003C\u002Fthead>\n\u003Ctbody>\n\u003Ctr>\n\u003Ctd>首次访问\u003C\u002Ftd>\n\u003Ctd>需下载 WASM + 字体（MB 级，可缓存）\u003C\u002Ftd>\n\u003Ctd>客户端几乎无 TeX 相关下载\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>宏包与字体\u003C\u002Ftd>\n\u003Ctd>打包常用子集，体积受限\u003C\u002Ftd>\n\u003Ctd>可挂载完整 TeX Live\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>算力与扩展\u003C\u002Ftd>\n\u003Ctd>受单用户设备 CPU\u002F内存约束\u003C\u002Ftd>\n\u003Ctd>服务器横向扩展，但需配额与隔离\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>源码路径\u003C\u002Ftd>\n\u003Ctd>默认留在用户浏览器内存\u002F本地 FS 抽象层\u003C\u002Ftd>\n\u003Ctd>需上传 \u003Ccode>.tex\u003C\u002Fcode> 与依赖文件到服务端\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>离线\u003C\u002Ftd>\n\u003Ctd>资源缓存后可离线编译\u003C\u002Ftd>\n\u003Ctd>依赖网络与服务可用性\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>运维\u003C\u002Ftd>\n\u003Ctd>静态资源 + CDN，无编译队列\u003C\u002Ftd>\n\u003Ctd>需防滥用、沙箱、超时与磁盘清理\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003C\u002Ftbody>\n\u003C\u002Ftable>\n\u003Cp>没有绝对更优：轻量文档、宏包需求可预测时，WASM 把编译成本摊到客户端；冷门宏包、大部头工程或需与完整 BibTeX 工具链深度集成时，传统 TeX 发行版仍更可靠。\u003C\u002Fp>\n\u003Ch2>能力边界与已知限制\u003C\u002Fh2>\n\u003Cp>浏览器端完整编译不是 TeX Live 的 1:1 替代，常见边界包括：\u003C\u002Fp>\n\u003Cul>\n\u003Cli>\u003Cstrong>宏包覆盖有限\u003C\u002Fstrong>：前端 bundle 只能带常用子集，\u003Ccode>\\usepackage\u003C\u002Fcode> 指向未打包宏包时会直接失败；\u003C\u002Fli>\n\u003Cli>\u003Cstrong>首次加载体积\u003C\u002Fstrong>：WASM 引擎与字体需一次性下载，弱网或冷启动时延迟明显；\u003C\u002Fli>\n\u003Cli>\u003Cstrong>超大工程\u003C\u002Fstrong>：几百页、多文件 \u003Ccode>\\input\u003C\u002Fcode>、复杂参考文献需多趟编译时，浏览器内存与长任务调度不如本地 TeX 稳定；\u003C\u002Fli>\n\u003Cli>\u003Cstrong>运行时约束\u003C\u002Fstrong>：单线程主线程阻塞、Tab 内存上限、无完整 shell 工具链，极端文档可能卡顿或 OOM；\u003C\u002Fli>\n\u003Cli>\u003Cstrong>公式库边界\u003C\u002Fstrong>：KaTeX\u002FMathJax 不处理 \u003Ccode>\\documentclass\u003C\u002Fcode>、浮动体、目录生成等文档级语义，误用在整篇 \u003Ccode>.tex\u003C\u002Fcode> 上只会得到公式片段而非 PDF。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>判断 workload 是否适合浏览器 WASM，关键看宏包是否在打包列表内、文档规模与编译趟数是否在浏览器可承受范围内。\u003C\u002Fp>\n\u003Ch2>小结\u003C\u002Fh2>\n\u003Cp>浏览器里处理 LaTeX 依赖两套技术：\u003Cstrong>公式渲染\u003C\u002Fstrong>（KaTeX\u002FMathJax，语法→标记）与\u003Cstrong>整篇编译\u003C\u002Fstrong>（WASM TeX，完整排版引擎）。前者轻、覆盖窄；后者重、接近真实 TeX 但受打包与运行时限制。厘清「语法转换 vs 排版编译」的分野，再对照客户端与服务端架构表，就能按文档复杂度与宏包需求选对实现路径。\u003C\u002Fp>\n",{"left":4,"top":4,"width":5,"height":5,"rotate":4,"vFlip":6,"hFlip":6,"body":47},"\u003Cg fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-width=\"2\">\u003Cpath d=\"M12 20v2m0-20v2m5 16v2m0-20v2M2 12h2m-2 5h2M2 7h2m16 5h2m-2 5h2M20 7h2M7 20v2M7 2v2\"\u002F>\u003Crect width=\"16\" height=\"16\" x=\"4\" y=\"4\" rx=\"2\"\u002F>\u003Crect width=\"8\" height=\"8\" x=\"8\" y=\"8\" rx=\"1\"\u002F>\u003C\u002Fg>",{"left":4,"top":4,"width":5,"height":5,"rotate":4,"vFlip":6,"hFlip":6,"body":49},"\u003Cpath fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-width=\"2\" d=\"m16 18l6-6l-6-6M8 6l-6 6l6 6\"\u002F>",{"left":4,"top":4,"width":5,"height":5,"rotate":4,"vFlip":6,"hFlip":6,"body":51},"\u003Cpath fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-width=\"2\" d=\"M13 21h8m.174-14.188a1 1 0 0 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