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| 1 | +--- |
| 2 | +icon: material/alphabet-greek |
| 3 | +--- |
| 4 | + |
| 5 | +# Math |
| 6 | + |
| 7 | +[MathJax] and [KaTeX] are two popular libraries for displaying |
| 8 | +mathematical content in browsers. Although both libraries offer similar |
| 9 | +functionality, they use different syntaxes and have different configuration |
| 10 | +options. This documentation site provides information on how to integrate them |
| 11 | +with Material for MkDocs easily. |
| 12 | + |
| 13 | + [MathJax]: https://www.mathjax.org/ |
| 14 | + [LaTeX]: https://en.wikibooks.org/wiki/LaTeX/Mathematics |
| 15 | + [MathML]: https://en.wikipedia.org/wiki/MathML |
| 16 | + [AsciiMath]: http://asciimath.org/ |
| 17 | + [KaTeX]: https://katex.org/ |
| 18 | + |
| 19 | + |
| 20 | +## Configuration |
| 21 | + |
| 22 | +The following configuration enables support for rendering block and |
| 23 | +inline block equations using [MathJax] and [KaTeX]. |
| 24 | + |
| 25 | +### MathJax |
| 26 | + |
| 27 | +[MathJax] is a powerful and flexible library that supports multiple input formats, |
| 28 | +such as [LaTeX], [MathML], [AsciiMath], as well as various output formats like |
| 29 | +HTML, SVG, MathML. To use MathJax within your project, add the following lines |
| 30 | +to your `mkdocs.yml`. |
| 31 | + |
| 32 | +=== ":octicons-file-code-16: `docs/javascripts/mathjax.js`" |
| 33 | + |
| 34 | + ``` js |
| 35 | + window.MathJax = { |
| 36 | + tex: { |
| 37 | + inlineMath: [["\\(", "\\)"]], |
| 38 | + displayMath: [["\\[", "\\]"]], |
| 39 | + processEscapes: true, |
| 40 | + processEnvironments: true |
| 41 | + }, |
| 42 | + options: { |
| 43 | + ignoreHtmlClass: ".*|", |
| 44 | + processHtmlClass: "arithmatex" |
| 45 | + } |
| 46 | + }; |
| 47 | + |
| 48 | + document$.subscribe(() => { // (1)! |
| 49 | + MathJax.typesetPromise() |
| 50 | + }) |
| 51 | + ``` |
| 52 | + |
| 53 | + 1. This integrates MathJax with [instant loading]. |
| 54 | + |
| 55 | +=== ":octicons-file-code-16: `mkdocs.yml`" |
| 56 | + |
| 57 | + ``` yaml |
| 58 | + markdown_extensions: |
| 59 | + - pymdownx.arithmatex: |
| 60 | + generic: true |
| 61 | + |
| 62 | + extra_javascript: |
| 63 | + - javascripts/mathjax.js |
| 64 | + - https://polyfill.io/v3/polyfill.min.js?features=es6 |
| 65 | + - https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js |
| 66 | + ``` |
| 67 | + |
| 68 | +See additional configuration options: |
| 69 | + |
| 70 | +- [Arithmatex] |
| 71 | + |
| 72 | + [Arithmatex]: ../setup/extensions/python-markdown-extensions.md#arithmatex |
| 73 | + [instant loading]: ../setup/setting-up-navigation.md#instant-loading |
| 74 | + |
| 75 | + |
| 76 | +### KaTeX |
| 77 | + |
| 78 | +[KaTeX] is a lightweight library that focuses on speed and simplicity. It |
| 79 | +supports a subset of LaTeX syntax and can render math to HTML and SVG. To use |
| 80 | +[KaTeX] within your project, add the following lines to your `mkdocs.yml`. |
| 81 | + |
| 82 | +=== ":octicons-file-code-16: `docs/javascripts/katex.js`" |
| 83 | + |
| 84 | + ``` js |
| 85 | + document$.subscribe(({ body }) => { // (1)! |
| 86 | + renderMathInElement(body, { |
| 87 | + delimiters: [ |
| 88 | + { left: "$$", right: "$$", display: true }, |
| 89 | + { left: "$", right: "$", display: false }, |
| 90 | + { left: "\\(", right: "\\)", display: false }, |
| 91 | + { left: "\\[", right: "\\]", display: true } |
| 92 | + ], |
| 93 | + }) |
| 94 | + }) |
| 95 | + ``` |
| 96 | + |
| 97 | + 1. This integrates KaTeX with [instant loading]. |
| 98 | + |
| 99 | +=== ":octicons-file-code-16: `mkdocs.yml`" |
| 100 | + |
| 101 | + ``` yaml |
| 102 | + extra_javascript: |
| 103 | + - javascripts/katex.js |
| 104 | + - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.js # (1)! |
| 105 | + - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/contrib/auto-render.min.js |
| 106 | + |
| 107 | + extra_css: |
| 108 | + - https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.7/katex.min.css |
| 109 | + ``` |
| 110 | + |
| 111 | + 1. Alternatively, you can add these JavaScript and CSS files via `script` tags by overriding HTML files. |
| 112 | + |
| 113 | + |
| 114 | +<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> |
| 115 | +<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> |
| 116 | +<script> |
| 117 | + window.MathJax = { |
| 118 | + tex: { |
| 119 | + inlineMath: [["\\(", "\\)"]], |
| 120 | + displayMath: [["\\[", "\\]"]], |
| 121 | + processEscapes: true, |
| 122 | + processEnvironments: true |
| 123 | + }, |
| 124 | + options: { |
| 125 | + ignoreHtmlClass: ".*|", |
| 126 | + processHtmlClass: "arithmatex" |
| 127 | + } |
| 128 | + }; |
| 129 | +</script> |
| 130 | + |
| 131 | + |
| 132 | +## Usage |
| 133 | + |
| 134 | +### Using block syntax |
| 135 | + |
| 136 | +Blocks must be enclosed in `#!latex $$...$$` or `#!latex \[...\]` on separate |
| 137 | +lines: |
| 138 | + |
| 139 | +``` latex title="block syntax" |
| 140 | +$$ |
| 141 | +\operatorname{ker} f=\{g\in G:f(g)=e_{H}\}{\mbox{.}} |
| 142 | +$$ |
| 143 | +``` |
| 144 | + |
| 145 | +<div class="result" markdown> |
| 146 | + |
| 147 | +$$ |
| 148 | +\operatorname{ker} f=\{g\in G:f(g)=e_{H}\}{\mbox{.}} |
| 149 | +$$ |
| 150 | + |
| 151 | +</div> |
| 152 | + |
| 153 | +### Using inline block syntax |
| 154 | + |
| 155 | +Inline blocks must be enclosed in `#!latex $...$` or `#!latex \(...\)`: |
| 156 | + |
| 157 | +``` latex title="inline syntax" |
| 158 | +The homomorphism $f$ is injective if and only if its kernel is only the |
| 159 | +singleton set $e_G$, because otherwise $\exists a,b\in G$ with $a\neq b$ such |
| 160 | +that $f(a)=f(b)$. |
| 161 | +``` |
| 162 | + |
| 163 | +<div class="result" markdown> |
| 164 | + |
| 165 | +The homomorphism $f$ is injective if and only if its kernel is only the |
| 166 | +singleton set $e_G$, because otherwise $\exists a,b\in G$ with $a\neq b$ such |
| 167 | +that $f(a)=f(b)$. |
| 168 | + |
| 169 | +</div> |
| 170 | + |
| 171 | + |
| 172 | +## Comparing MathJax and KaTeX |
| 173 | + |
| 174 | +When deciding between MathJax and KaTeX, there are several key factors to |
| 175 | +consider: |
| 176 | + |
| 177 | +- __Speed__: KaTeX is generally faster than MathJax. If your site requires rendering large |
| 178 | +quantities of complex equations quickly, KaTeX may be the better choice. |
| 179 | + |
| 180 | +- __Syntax Support__: MathJax supports a wider array of LaTeX commands and can |
| 181 | +process a variety of mathematical markup languages (like AsciiMath and MathML). |
| 182 | +If you need advanced LaTeX features, MathJax may be more suitable. |
| 183 | + |
| 184 | +- __Output Format__: Both libraries support HTML and SVG outputs. However, |
| 185 | +MathJax also offers MathML output, which can be essential for accessibility, as |
| 186 | +it is readable by screen readers. |
| 187 | + |
| 188 | +- __Configurability__: MathJax provides a range of configuration options, |
| 189 | +allowing for more precise control over its behavior. If you have specific |
| 190 | +rendering requirements, MathJax might be a more flexible choice. |
| 191 | + |
| 192 | +- __Browser Support__: While both libraries work well in modern browsers, |
| 193 | +MathJax has broader compatibility with older browsers. If your audience uses a |
| 194 | +variety of browsers, including older ones, MathJax might be a safer option. |
| 195 | + |
| 196 | +In summary, KaTeX shines with its speed and simplicity, whereas MathJax offers |
| 197 | +more features and better compatibility at the expense of speed. The choice |
| 198 | +between the two will largely depend on your specific needs and constraints. |
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