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‎404.html‎

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‎image-credits.md‎

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# Image credits
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`physics-background.jpg` comes from [pexels](https://www.pexels.com/photo/woman-writing-on-a-whiteboard-3862130/) and is CC0 (so basically public domain).

‎index.html‎

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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<!-- Enable responsiveness on mobile devices-->
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>A Learner&#x27;s Guide to Advanced Theoretical Physics</title>
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<meta name="description" content="A Learner's Guide to Advanced Theoretical Physics">
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<!-- Uncomment once we actually have a favicon
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<link rel="icon" type="image/svg+xml" href="https://songtech-0912.github.io/theoretical-physics/favicon.svg">
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<link rel="icon" type="image/png" href="https://songtech-0912.github.io/theoretical-physics/favicon.ico">
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-->
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<!--KaTeX-->
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<link rel="stylesheet" href="https://songtech-0912.github.io/theoretical-physics/katex/katex.min.css">
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<link rel="stylesheet" href="https://songtech-0912.github.io/theoretical-physics/site.css">
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</head>
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<body>
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<main class="homepage">
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<header>
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<h1>
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A Learner’s Guide to Advanced Theoretical Physics
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</h1>
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<p>
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By Jacky Song and Alex Weiss
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</p>
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</header>
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<main class="homepage">
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<section class="preface">
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<p>
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Welcome! This is the home of a set of free, open-source online books, made for all readers interested in advanced theoretical physics. In these books, we delve into advanced quantum mechanics and relativity, and don't shy away from the details; we cover the Standard Model, Special Relativity and General Relativity, and the most exciting developments in making a unified theory that bridges General Relativity and the Standard Model. Additionally, we will also spend some time looking into non-relativistic quantum field theories, which are very similar to relativistic quantum field theories that form the basis of the Standard Model. This guide is written to be accessible enough to be readable by anyone who is curious and wants a challenge.
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</p>
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<p>
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But, the skeptical reader may ask, why care about theoretical physics? The answer is that basic science, such as research into theoretical physics, is <em>crucial</em> to furthering our understanding of science, because it is the bedrock on which all other physics is built upon. The current "Big 2" theories of theoretical physics, General Relativity (GR) and the Standard Model, are both hugely-successful theories, but as of the present moment, attempts to unify the two theories have failed. Thus, working on the problems within each of the theories, as well as their (hopeful) unification, is also (well, subjectively) an interesting intellectual challenge.
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</p>
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<p>
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We attempt to keep the mathematical prerequisites for this book to the minimum: only some multivariable calculus and some knowledge of vectors and matrices. If these topics are unfamiliar, we highly recommend reading <a href="https://tutorial.math.lamar.edu/">the free online lecture notes</a> by Professor Paul Dawkins at Lamar University. We will explain any other mathematics as necessary while we progress through the book.
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</p>
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<p>
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Our greatest satisfaction is to make the concepts of theoretical physics as clear and accessible as we can. We hope you enjoy this book as much as we have enjoyed writing it.
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</p>
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</section>
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<section class="book-cards">
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<h2>Our books</h2>
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<article>
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<h3>Quantum field theory</h3>
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<p class="summary">A book on quantum field theory, the Standard Model of particle physics, and more!</p>
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<a href="https://songtech-0912.github.io/theoretical-physics/quantum-field-theory/">Read more...</a>
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</article>
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</section>
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<section class="related">
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<h2>Related projects</h2>
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<p>Love open knowledge, science, and physics? You might like <a href="https://elaraproject.github.io">Project Elara</a> as well as its <a href="https://elaraproject.github.io/elara-handbook">Handbook</a>, which (among other things) contains a comprehensive overview of many areas of physics.</p>
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</section>
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</main>
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</body>
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</html>

‎katex/README.md‎

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<h1><a href="https://katex.org/">
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<picture>
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<source media="(prefers-color-scheme: dark)" srcset="https://katex.org/img/katex-logo.svg">
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<img alt="KaTeX" width=130 src="https://katex.org/img/katex-logo-black.svg">
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</picture>
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</a></h1>
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[![npm](https://img.shields.io/npm/v/katex.svg)](https://www.npmjs.com/package/katex)
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[![semantic-release](https://img.shields.io/badge/%20%20%F0%9F%93%A6%F0%9F%9A%80-semantic--release-e10079.svg)](https://github.com/semantic-release/semantic-release)
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[![CI](https://github.com/KaTeX/KaTeX/workflows/CI/badge.svg?branch=main&event=push)](https://github.com/KaTeX/KaTeX/actions?query=workflow%3ACI)
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[![codecov](https://codecov.io/gh/KaTeX/KaTeX/branch/main/graph/badge.svg)](https://codecov.io/gh/KaTeX/KaTeX)
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[![Discussions](https://img.shields.io/badge/Discussions-join-brightgreen)](https://github.com/KaTeX/KaTeX/discussions)
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[![jsDelivr](https://data.jsdelivr.com/v1/package/npm/katex/badge?style=rounded)](https://www.jsdelivr.com/package/npm/katex)
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![katex.min.js size](https://img.badgesize.io/https://unpkg.com/katex/dist/katex.min.js?compression=gzip)
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[![Gitpod ready-to-code](https://img.shields.io/badge/Gitpod-ready--to--code-blue?logo=gitpod)](https://gitpod.io/#https://github.com/KaTeX/KaTeX)
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[![Financial Contributors on Open Collective](https://opencollective.com/katex/all/badge.svg?label=financial+contributors)](https://opencollective.com/katex)
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KaTeX is a fast, easy-to-use JavaScript library for TeX math rendering on the web.
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* **Fast:** KaTeX renders its math synchronously and doesn't need to reflow the page. See how it compares to a competitor in [this speed test](https://www.intmath.com/cg5/katex-mathjax-comparison.php).
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* **Print quality:** KaTeX's layout is based on Donald Knuth's TeX, the gold standard for math typesetting.
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* **Self contained:** KaTeX has no dependencies and can easily be bundled with your website resources.
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* **Server side rendering:** KaTeX produces the same output regardless of browser or environment, so you can pre-render expressions using Node.js and send them as plain HTML.
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KaTeX is compatible with all major browsers, including Chrome, Safari, Firefox, Opera, Edge, and IE 11.
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KaTeX supports much (but not all) of LaTeX and many LaTeX packages. See the [list of supported functions](https://katex.org/docs/supported.html).
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Try out KaTeX [on the demo page](https://katex.org/#demo)!
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## Getting started
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### Starter template
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```html
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<!DOCTYPE html>
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<!-- KaTeX requires the use of the HTML5 doctype. Without it, KaTeX may not render properly -->
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<html>
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<head>
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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.min.css" integrity="sha384-GvrOXuhMATgEsSwCs4smul74iXGOixntILdUW9XmUC6+HX0sLNAK3q71HotJqlAn" crossorigin="anonymous">
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<!-- The loading of KaTeX is deferred to speed up page rendering -->
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<script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.min.js" integrity="sha384-cpW21h6RZv/phavutF+AuVYrr+dA8xD9zs6FwLpaCct6O9ctzYFfFr4dgmgccOTx" crossorigin="anonymous"></script>
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<!-- To automatically render math in text elements, include the auto-render extension: -->
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<script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/contrib/auto-render.min.js" integrity="sha384-+VBxd3r6XgURycqtZ117nYw44OOcIax56Z4dCRWbxyPt0Koah1uHoK0o4+/RRE05" crossorigin="anonymous"
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onload="renderMathInElement(document.body);"></script>
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</head>
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...
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</html>
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```
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You can also [download KaTeX](https://github.com/KaTeX/KaTeX/releases) and host it yourself.
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For details on how to configure auto-render extension, refer to [the documentation](https://katex.org/docs/autorender.html).
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### API
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Call `katex.render` to render a TeX expression directly into a DOM element.
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For example:
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```js
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katex.render("c = \\pm\\sqrt{a^2 + b^2}", element, {
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throwOnError: false
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});
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```
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Call `katex.renderToString` to generate an HTML string of the rendered math,
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e.g., for server-side rendering. For example:
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```js
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var html = katex.renderToString("c = \\pm\\sqrt{a^2 + b^2}", {
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throwOnError: false
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});
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// '<span class="katex">...</span>'
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```
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Make sure to include the CSS and font files in both cases.
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If you are doing all rendering on the server, there is no need to include the
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JavaScript on the client.
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The examples above use the `throwOnError: false` option, which renders invalid
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inputs as the TeX source code in red (by default), with the error message as
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hover text. For other available options, see the
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[API documentation](https://katex.org/docs/api.html),
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[options documentation](https://katex.org/docs/options.html), and
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[handling errors documentation](https://katex.org/docs/error.html).
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## Demo and Documentation
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Learn more about using KaTeX [on the website](https://katex.org)!
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## Contributors
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### Code Contributors
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This project exists thanks to all the people who contribute code. If you'd like to help, see [our guide to contributing code](CONTRIBUTING.md).
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<a href="https://github.com/KaTeX/KaTeX/graphs/contributors"><img src="https://contributors-svg.opencollective.com/katex/contributors.svg?width=890&button=false" alt="Code contributors" /></a>
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### Financial Contributors
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Become a financial contributor and help us sustain our community.
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#### Individuals
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<a href="https://opencollective.com/katex"><img src="https://opencollective.com/katex/individuals.svg?width=890" alt="Contribute on Open Collective"></a>
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#### Organizations
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Support this project with your organization. Your logo will show up here with a link to your website.
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<a href="https://opencollective.com/katex/organization/0/website"><img src="https://opencollective.com/katex/organization/0/avatar.svg" alt="Organization 1"></a>
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<a href="https://opencollective.com/katex/organization/1/website"><img src="https://opencollective.com/katex/organization/1/avatar.svg" alt="Organization 2"></a>
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<a href="https://opencollective.com/katex/organization/2/website"><img src="https://opencollective.com/katex/organization/2/avatar.svg" alt="Organization 3"></a>
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<a href="https://opencollective.com/katex/organization/3/website"><img src="https://opencollective.com/katex/organization/3/avatar.svg" alt="Organization 4"></a>
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<a href="https://opencollective.com/katex/organization/4/website"><img src="https://opencollective.com/katex/organization/4/avatar.svg" alt="Organization 5"></a>
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<a href="https://opencollective.com/katex/organization/5/website"><img src="https://opencollective.com/katex/organization/5/avatar.svg" alt="Organization 6"></a>
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<a href="https://opencollective.com/katex/organization/6/website"><img src="https://opencollective.com/katex/organization/6/avatar.svg" alt="Organization 7"></a>
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<a href="https://opencollective.com/katex/organization/7/website"><img src="https://opencollective.com/katex/organization/7/avatar.svg" alt="Organization 8"></a>
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<a href="https://opencollective.com/katex/organization/8/website"><img src="https://opencollective.com/katex/organization/8/avatar.svg" alt="Organization 9"></a>
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<a href="https://opencollective.com/katex/organization/9/website"><img src="https://opencollective.com/katex/organization/9/avatar.svg" alt="Organization 10"></a>
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## License
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KaTeX is licensed under the [MIT License](https://opensource.org/licenses/MIT).

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