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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>"How can a web page render \u003Ccode>.tex\u003C\u002Fcode> without installing TeX?" The answer is two completely different technologies for two different needs. Confusing them is the root of most misunderstandings.\u003C\u002Fp>\n\u003C\u002Fblockquote>\n\u003Cp>\u003Cimg src=\"\u002Fblog\u002Fhow-latex-runs-in-browser\u002Fcover.webp\" alt=\"Core argument illustration\">\u003C\u002Fp>\n\u003Ch2>First, Separate Two Kinds of Needs\u003C\u002Fh2>\n\u003Cp>"Handling LaTeX in the browser" actually means two things with different stacks:\u003C\u002Fp>\n\u003Col>\n\u003Cli>\u003Cstrong>Rendering math formulas only\u003C\u002Fstrong>: inline formulas on web pages, formula editors;\u003C\u002Fli>\n\u003Cli>\u003Cstrong>Compiling a full \u003Ccode>.tex\u003C\u002Fcode> document\u003C\u002Fstrong>: with \u003Ccode>\\documentclass\u003C\u002Fcode>, chapters, tables, pagination, bibliography, outputting PDF.\u003C\u002Fli>\n\u003C\u002Fol>\n\u003Cp>The first is lightweight syntax conversion; the second is full typesetting compilation. Below we look at each.\u003C\u002Fp>\n\u003Ch2>Part 1: Formula Rendering with KaTeX \u002F MathJax\u003C\u002Fh2>\n\u003Cp>Turning \u003Ccode>\\frac{a}{b}\u003C\u002Fcode>, integrals, and matrices into polished formulas relies on JavaScript libraries like \u003Cstrong>KaTeX\u003C\u002Fstrong> or \u003Cstrong>MathJax\u003C\u002Fstrong>. They parse LaTeX math syntax and \u003Cstrong>convert it to HTML\u002FSVG\u002FMathML\u003C\u002Fstrong>—they do not run a real TeX engine. The trade-offs are practical:\u003C\u002Fp>\n\u003Ctable>\n\u003Cthead>\n\u003Ctr>\n\u003Cth>Dimension\u003C\u002Fth>\n\u003Cth>KaTeX\u003C\u002Fth>\n\u003Cth>MathJax\u003C\u002Fth>\n\u003C\u002Ftr>\n\u003C\u002Fthead>\n\u003Ctbody>\n\u003Ctr>\n\u003Ctd>Rendering\u003C\u002Ftd>\n\u003Ctd>Synchronous, single DOM write\u003C\u002Ftd>\n\u003Ctd>Asynchronous, may reflow multiple times\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>Size & speed\u003C\u002Ftd>\n\u003Ctd>Lighter, faster\u003C\u002Ftd>\n\u003Ctd>Heavier, slower\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>TeX command coverage\u003C\u002Ftd>\n\u003Ctd>Common math subset\u003C\u002Ftd>\n\u003Ctd>Broader coverage, more extensions\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>Typical use\u003C\u002Ftd>\n\u003Ctd>Formula-heavy, real-time preview\u003C\u002Ftd>\n\u003Ctd>Obscure commands or complex environments\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003C\u002Ftbody>\n\u003C\u002Ftable>\n\u003Cp>This approach is essentially \u003Cstrong>string-to-markup conversion\u003C\u002Fstrong>, usually done in milliseconds, with no pagination, cross-references, or bibliography engine involved.\u003C\u002Fp>\n\u003Ch2>Part 2: Full Document Compilation with WebAssembly TeX\u003C\u002Fh2>\n\u003Cp>Compiling a complete \u003Ccode>.tex\u003C\u002Fcode> into a paginated PDF is far beyond what formula libraries can do—you need a \u003Cstrong>real TeX engine\u003C\u002Fstrong>. The key technology is \u003Cstrong>WebAssembly (WASM)\u003C\u002Fstrong>: TeX engines written in C are compiled to WASM bytecode and run in the browser JS engine at near-native speed. Representative implementations include \u003Cstrong>SwiftLaTeX\u003C\u002Fstrong> and \u003Cstrong>texlive.js\u003C\u002Fstrong>, which bundle the TeX kernel, required fonts, and common macro packages into frontend assets.\u003C\u002Fp>\n\u003Cp>Typical data flow: \u003Ccode>.tex\u003C\u002Fcode> source → in-browser WASM TeX runtime → local typesetting and pagination → PDF output. Compilation runs on the user's device, not through a remote TeX service.\u003C\u002Fp>\n\u003Ch2>Client WASM vs Server TeX: Architectural Trade-offs\u003C\u002Fh2>\n\u003Cp>The same goal (get PDF in a web page) can follow two architectural paths:\u003C\u002Fp>\n\u003Ctable>\n\u003Cthead>\n\u003Ctr>\n\u003Cth>Dimension\u003C\u002Fth>\n\u003Cth>Browser WASM TeX\u003C\u002Fth>\n\u003Cth>Remote \u002F self-hosted TeX service\u003C\u002Fth>\n\u003C\u002Ftr>\n\u003C\u002Fthead>\n\u003Ctbody>\n\u003Ctr>\n\u003Ctd>First visit\u003C\u002Ftd>\n\u003Ctd>Must download WASM + fonts (MB-scale, cacheable)\u003C\u002Ftd>\n\u003Ctd>Client has almost no TeX-related downloads\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>Packages & fonts\u003C\u002Ftd>\n\u003Ctd>Bundled common subset, size-limited\u003C\u002Ftd>\n\u003Ctd>Can mount full TeX Live\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>Compute & scale\u003C\u002Ftd>\n\u003Ctd>Bound by single-user CPU\u002FRAM\u003C\u002Ftd>\n\u003Ctd>Server horizontal scaling, but needs quotas and isolation\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>Source path\u003C\u002Ftd>\n\u003Ctd>Stays in browser memory \u002F local FS abstraction by default\u003C\u002Ftd>\n\u003Ctd>Must upload \u003Ccode>.tex\u003C\u002Fcode> and dependency files to server\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>Offline\u003C\u002Ftd>\n\u003Ctd>Can compile offline after resource cache\u003C\u002Ftd>\n\u003Ctd>Depends on network and service availability\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003Ctr>\n\u003Ctd>Operations\u003C\u002Ftd>\n\u003Ctd>Static assets + CDN, no compile queue\u003C\u002Ftd>\n\u003Ctd>Needs abuse prevention, sandbox, timeout, disk cleanup\u003C\u002Ftd>\n\u003C\u002Ftr>\n\u003C\u002Ftbody>\n\u003C\u002Ftable>\n\u003Cp>Neither is universally better: for lightweight documents with predictable package needs, WASM shifts compile cost to the client; for obscure packages, large projects, or deep integration with full BibTeX toolchains, traditional TeX distributions remain more reliable.\u003C\u002Fp>\n\u003Ch2>Capability Limits and Known Constraints\u003C\u002Fh2>\n\u003Cp>In-browser full compilation is not a 1:1 replacement for TeX Live. Common boundaries include:\u003C\u002Fp>\n\u003Cul>\n\u003Cli>\u003Cstrong>Limited package coverage\u003C\u002Fstrong>: frontend bundles only carry a common subset; \u003Ccode>\\usepackage\u003C\u002Fcode> pointing to an unbundled package fails outright;\u003C\u002Fli>\n\u003Cli>\u003Cstrong>First-load size\u003C\u002Fstrong>: WASM engine and fonts require a one-time download; latency is noticeable on slow networks or cold starts;\u003C\u002Fli>\n\u003Cli>\u003Cstrong>Very large projects\u003C\u002Fstrong>: hundreds of pages, multi-file \u003Ccode>\\input\u003C\u002Fcode>, complex bibliography requiring multiple passes—browser memory and long-task scheduling are less stable than local TeX;\u003C\u002Fli>\n\u003Cli>\u003Cstrong>Runtime constraints\u003C\u002Fstrong>: main-thread blocking, tab memory limits, no full shell toolchain—extreme documents may stutter or OOM;\u003C\u002Fli>\n\u003Cli>\u003Cstrong>Formula library limits\u003C\u002Fstrong>: KaTeX\u002FMathJax do not handle \u003Ccode>\\documentclass\u003C\u002Fcode>, floats, table-of-contents generation, and other document-level semantics; using them on a full \u003Ccode>.tex\u003C\u002Fcode> yields formula fragments, not PDF.\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>Whether browser WASM fits a workload depends on whether required packages are in the bundle and whether document size and compile passes stay within what the browser can handle.\u003C\u002Fp>\n\u003Ch2>Summary\u003C\u002Fh2>\n\u003Cp>Handling LaTeX in the browser relies on two stacks: \u003Cstrong>formula rendering\u003C\u002Fstrong> (KaTeX\u002FMathJax, syntax → markup) and \u003Cstrong>full compilation\u003C\u002Fstrong> (WASM TeX, complete typesetting engine). The former is light with narrow coverage; the latter is heavy, closer to real TeX, but constrained by bundling and runtime limits. 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