# Math Equations

Mathematical equations can be rendered using [KaTeX](https://katex.org).

See [below](#configuration) how to activate them.

## Usage

Please read the [KaTeX](https://katex.org) documentation for more details.

### Inline

Write inline math equations by wrapping LaTeX equations between `$`:

```latex
Let $f\colon[a,b]\to\R$ be Riemann integrable. Let $F\colon[a,b]\to\R$ be
$F(x)=\int_{a}^{x} f(t)\,dt$. Then $F$ is continuous, and at all $x$ such that
$f$ is continuous at $x$, $F$ is differentiable at $x$ with $F'(x)=f(x)$.
```

Let $f\colon\[a,b] \to \R$ be Riemann integrable. Let $F\colon\[a,b]\to\R$ be $F(x)=
\int\_^ f(t),dt$. Then $F$ is continuous, and at all $x$ such that $f$ is continuous at $x$, $F$ is differentiable at $x$ with $F'(x)=f(x)$.

### Blocks

For equation block or display mode, use ` ```math ` fenced code blocks.

````latex
```math
I = \int_0^{2\pi} \sin(x)\,dx
```
````

You can also use line breaks and `$$`, although this syntax relies on a [Markdown syntax extension](https://github.com/micromark/micromark-extension-math) and is less portable:

```latex
$$
I = \int_0^{2\pi} \sin(x)\,dx
$$
```

```math
I = \int_0^{2\pi} \sin(x)\,dx
```

## Enabling math equations

Enable KaTeX:

1. Install the `remark-math` and `rehype-katex` plugins:

   ```bash npm2yarn
   npm install --save remark-math@6 rehype-katex@7
   ```

   :::callout{intent="warning"}
   Make sure to use `remark-math 6` and `rehype-katex 7` for Docusaurus v3 (using MDX v3). We can't guarantee other versions will work.
   :::

2. These 2 plugins are [**only available as ES Modules**](https://gist.github.com/sindresorhus/a39789f98801d908bbc7ff3ecc99d99c). We recommended to use an [**ES Modules**](https://flaviocopes.com/es-modules/) config file:

   ```js title="ES module docusaurus.config.js" {1-2,4-12}
   import remarkMath from 'remark-math';
   import rehypeKatex from 'rehype-katex';

   export default {
     presets: [
       [
         '@docusaurus/preset-classic',
         {
           docs: {
             path: 'docs',
             remarkPlugins: [remarkMath],
             rehypePlugins: [rehypeKatex],
           },
         },
       ],
     ],
   };
   ```

:::accordion{title="Using a CommonJS config file?"}
[**CommonJS**](https://nodejs.org/api/modules.html#modules-commonjs-modules)

```
    If you decide to use a CommonJS config file, it is possible to load those ES module plugins thanks to dynamic imports and an async config creator function:
```

```js title="CommonJS module docusaurus.config.js" {1,9-10}
module.exports = async function createConfigAsync() {
  return {
    presets: [
      [
        '@docusaurus/preset-classic',
        {
          docs: {
            path: 'docs',
            remarkPlugins: [(await import('remark-math')).default],
            rehypePlugins: [(await import('rehype-katex')).default],
          },
        },
      ],
    ],
  };
};
```
:::

3. Include the KaTeX CSS in your config under `stylesheets`:

   ```js
   export default {
     //...
     stylesheets: [
       {
         href: 'https://cdn.jsdelivr.net/npm/katex@0.13.24/dist/katex.min.css',
         type: 'text/css',
         integrity:
           'sha384-odtC+0UGzzFL/6PNoE8rX/SPcQDXBJ+uRepguP4QkPCm2LBxH3FA3y+fKSiJ+AmM',
         crossorigin: 'anonymous',
       },
     ],
   };
   ```

:::accordion{title="See a config file example"}
```js title="docusaurus.config.js" {1-2,13-14,19-27}
import remarkMath from 'remark-math';
import rehypeKatex from 'rehype-katex';

export default {
  title: 'Docusaurus',
  tagline: 'Build optimized websites quickly, focus on your content',
  presets: [
    [
      '@docusaurus/preset-classic',
      {
        docs: {
          path: 'docs',
          remarkPlugins: [remarkMath],
          rehypePlugins: [rehypeKatex],
        },
      },
    ],
  ],
  stylesheets: [
    {
      href: 'https://cdn.jsdelivr.net/npm/katex@0.13.24/dist/katex.min.css',
      type: 'text/css',
      integrity:
        'sha384-odtC+0UGzzFL/6PNoE8rX/SPcQDXBJ+uRepguP4QkPCm2LBxH3FA3y+fKSiJ+AmM',
      crossorigin: 'anonymous',
    },
  ],
};
```
:::

## Self-hosting KaTeX assets

Loading stylesheets, fonts, and JavaScript libraries from CDN sources is a good practice for popular libraries and assets, since it reduces the amount of assets you have to host. In case you prefer to self-host the `katex.min.css` (along with required KaTeX fonts), you can download the latest version from [KaTeX GitHub releases](https://github.com/KaTeX/KaTeX/releases), extract and copy `katex.min.css` and `fonts` directory (only `.woff2` font types should be enough) to your site's `static` directory, and in `docusaurus.config.js`, replace the stylesheet's `href` from the CDN URL to your local path (say, `/katex/katex.min.css`).

```js title="docusaurus.config.js"
export default {
  stylesheets: [
    {
      href: '/katex/katex.min.css',
      type: 'text/css',
    },
  ],
};
```

## Related pages

- [Diagrams](./guides-markdown-features-markdown-features-diagrams.md)
- [Admonitions](./guides-markdown-features-markdown-features-admonitions.md)
- [Assets](./guides-markdown-features-markdown-features-assets.md)
- [Code blocks](./guides-markdown-features-markdown-features-code-blocks.md)
- [Head metadata](./guides-markdown-features-markdown-features-head-metadata.md)
- [Markdown Features](./guides-markdown-features-markdown-features-intro.md)
- [Markdown links](./guides-markdown-features-markdown-features-links.md)
- [MDX Plugins](./guides-markdown-features-markdown-features-plugins.md)
- [MDX and React](./guides-markdown-features-markdown-features-react.md)
- [Tabs](./guides-markdown-features-markdown-features-tabs.md)

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