数学公式

Mathematical equations can be rendered using KaTeX.

用法

请阅读 KaTeX 的文档以了解更多详情。

内联数学公式

通过将 LaTex 数学公式包裹在两个 $ 标记之间，可以在书写内联数学公式：

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 $F'(x)=f(x)$.

http://localhost:3000

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 $F'(x)=f(x)$.

数学公式块

对于数学公式块或显示模式，请使用换行符和 $$ 标记：

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

http://localhost:3000

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

Enabling math equations

启用 KaTeX：

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

   npm

   npm install --save remark-math@6 rehype-katex@7

   Yarn

   yarn add remark-math@6 rehype-katex@7

   pnpm

   pnpm add remark-math@6 rehype-katex@7
   注意

   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. We recommended to use an ES Modules config file:

   ES module docusaurus.config.js

   import remarkMath from 'remark-math';
   import rehypeKatex from 'rehype-katex';
   
   export default {
     presets: [
       [
         '@docusaurus/preset-classic',
         {
           docs: {
             path: 'docs',
             remarkPlugins: [remarkMath],
             rehypePlugins: [rehypeKatex],
           },
         },
       ],
     ],
   };

   Using a CommonJS config file?

   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:

   CommonJS module docusaurus.config.js

   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:

   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',
       },
     ],
   };

See a config file example

docusaurus.config.js

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, 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).

docusaurus.config.js

export default {
  stylesheets: [
    {
      href: '/katex/katex.min.css',
      type: 'text/css',
    },
  ],
};