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19 lines
33 KiB
JavaScript
19 lines
33 KiB
JavaScript
import{$ as e,B as t,P as n,_ as r,f as i,g as a,h as o,l as s}from"./runtime-core.esm-bundler-CZvn3YaB.js";import{t as c}from"./plugin-vue_export-helper-CxTVcLa7.js";var l=JSON.parse(`{"path":"/guide/markdown/math/","title":"数学公式 | 指南","lang":"zh-CN","frontmatter":{"title":"数学公式","icon":"tabler:math","createTime":"2025/11/29 21:36:22","permalink":"/guide/markdown/math/","description":"概述 主题内置了对 数学公式 的支持。 该功能由 @vuepress/plugin-markdown-math 提供支持。你可以选择在 markdown 中使用以下方式渲染数学公式: katex (默认) mathjax 使用 .vuepress/config.ts 当你选择使用 mathjax 时，还需要执行以下命令安装依赖： 语法 内联语法 使用 ...","head":[["script",{"type":"application/ld+json"},"{\\"@context\\":\\"https://schema.org\\",\\"@type\\":\\"Article\\",\\"headline\\":\\"数学公式\\",\\"image\\":[\\"\\"],\\"dateModified\\":\\"2025-12-01T03:30:33.000Z\\",\\"author\\":[]}"],["meta",{"property":"og:url","content":"https://theme-plume.vuejs.press/guide/markdown/math/"}],["meta",{"property":"og:site_name","content":"Plume 主题"}],["meta",{"property":"og:title","content":"数学公式"}],["meta",{"property":"og:description","content":"概述 主题内置了对 数学公式 的支持。 该功能由 @vuepress/plugin-markdown-math 提供支持。你可以选择在 markdown 中使用以下方式渲染数学公式: katex (默认) mathjax 使用 .vuepress/config.ts 当你选择使用 mathjax 时，还需要执行以下命令安装依赖： 语法 内联语法 使用 ..."}],["meta",{"property":"og:type","content":"article"}],["meta",{"property":"og:locale","content":"zh-CN"}],["meta",{"property":"og:locale:alternate","content":"en-US"}],["meta",{"property":"og:updated_time","content":"2025-12-01T03:30:33.000Z"}],["meta",{"property":"article:modified_time","content":"2025-12-01T03:30:33.000Z"}],["link",{"rel":"alternate","hreflang":"en-us","href":"https://theme-plume.vuejs.press/en/guide/markdown/math/"}]]},"readingTime":{"minutes":2.1,"words":629},"git":{"createdTime":1764559833000,"updatedTime":1764559833000,"contributors":[{"name":"pengzhanbo","username":"pengzhanbo","email":"volodymyr@foxmail.com","commits":1,"avatar":"https://avatars.githubusercontent.com/pengzhanbo?v=4","url":"https://github.com/pengzhanbo"}],"changelog":[{"hash":"db8a46eb4cdc6c4bcb15f0e38a5aacfef565975a","time":1764559833000,"email":"volodymyr@foxmail.com","author":"pengzhanbo","message":"docs: optimize and completion docs (#766)"}]},"autoDesc":true,"filePathRelative":"guide/markdown/math.md","headers":[],"bulletin":false}`),u={name:`math.md`},d={class:`code-block-title`,"data-title":`.vuepress/config.ts`},f={class:`code-block-title-bar`},p={class:`title`},m={class:`vp-field-group`},h={class:`vp-field-group`},g={class:`vp-field-group`};function _(c,l,u,_,v,y){let b=t(`VPIcon`),x=t(`CodeTabs`),S=t(`VPDemoBasic`),C=t(`VPField`);return n(),i(`div`,null,[l[20]||=o(`<h2 id="概述" tabindex="-1"><a class="header-anchor" href="#概述"><span>概述</span></a></h2><p>主题内置了对 数学公式 的支持。</p><p>该功能由 <a href="https://ecosystem.vuejs.press/zh/plugins/markdown/markdown-math.html" target="_blank" rel="noopener noreferrer">@vuepress/plugin-markdown-math</a> 提供支持。你可以选择在 markdown 中使用以下方式渲染数学公式:</p><ul><li><code>katex</code> (默认)</li><li><code>mathjax</code></li></ul><h2 id="使用" tabindex="-1"><a class="header-anchor" href="#使用"><span>使用</span></a></h2>`,5),s(`div`,d,[s(`div`,f,[s(`span`,p,[r(b,{provider:`iconify`,name:`vscode-icons:file-type-typescript`}),l[0]||=a(`.vuepress/config.ts`,-1)])]),l[1]||=o(`<div class="language-ts line-numbers-mode" data-highlighter="shiki" data-ext="ts" style="--shiki-light:#393a34;--shiki-dark:#dbd7caee;--shiki-light-bg:#ffffff;--shiki-dark-bg:#121212;"><pre class="shiki shiki-themes vitesse-light vitesse-dark vp-code"><code class="language-ts"><span class="line"><span style="--shiki-light:#1E754F;--shiki-dark:#4D9375;">export</span><span style="--shiki-light:#1E754F;--shiki-dark:#4D9375;"> default</span><span style="--shiki-light:#59873A;--shiki-dark:#80A665;"> defineUserConfig</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">({</span></span>
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<span class="line"><span style="--shiki-light:#998418;--shiki-dark:#B8A965;"> theme</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">: </span><span style="--shiki-light:#59873A;--shiki-dark:#80A665;">plumeTheme</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">({</span></span>
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<span class="line"><span style="--shiki-light:#998418;--shiki-dark:#B8A965;"> markdown</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">: {</span></span>
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<span class="line"><span style="--shiki-light:#998418;--shiki-dark:#B8A965;"> math</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">: {</span></span>
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<span class="line"><span style="--shiki-light:#998418;--shiki-dark:#B8A965;"> type</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">: </span><span style="--shiki-light:#B5695977;--shiki-dark:#C98A7D77;">'</span><span style="--shiki-light:#B56959;--shiki-dark:#C98A7D;">katex</span><span style="--shiki-light:#B5695977;--shiki-dark:#C98A7D77;">'</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">, </span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;">// 'katex' | 'mathjax'</span></span>
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<span class="line"><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;"> // ... 其它配置项</span></span>
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<span class="line"><span style="--shiki-light:#999999;--shiki-dark:#666666;"> }</span></span>
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<span class="line"><span style="--shiki-light:#999999;--shiki-dark:#666666;"> },</span></span>
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<span class="line"><span style="--shiki-light:#999999;--shiki-dark:#666666;"> })</span></span>
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<span class="line"><span style="--shiki-light:#999999;--shiki-dark:#666666;">})</span></span></code></pre><div class="line-numbers" aria-hidden="true" style="counter-reset:line-number 0;"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div>`,1)]),l[21]||=s(`p`,null,[a(`当你选择使用 `),s(`code`,null,`mathjax`),a(` 时，还需要执行以下命令安装依赖：`)],-1),r(x,{id:`0`,data:[{id:`pnpm`},{id:`yarn`},{id:`npm`}],"tab-id":`npm-to-pnpm-yarn-npm`},{title0:e(({value:e,isActive:t})=>[r(b,{provider:`iconify`,name:`vscode-icons:file-type-light-pnpm`}),l[2]||=s(`span`,null,`pnpm`,-1)]),title1:e(({value:e,isActive:t})=>[r(b,{provider:`iconify`,name:`vscode-icons:file-type-yarn`}),l[3]||=s(`span`,null,`yarn`,-1)]),title2:e(({value:e,isActive:t})=>[r(b,{provider:`iconify`,name:`logos:npm-icon`}),l[4]||=s(`span`,null,`npm`,-1)]),tab0:e(({value:e,isActive:t})=>[...l[5]||=[s(`div`,{class:`language-sh`,"data-highlighter":`shiki`,"data-ext":`sh`,style:{"--shiki-light":`#393a34`,"--shiki-dark":`#dbd7caee`,"--shiki-light-bg":`#ffffff`,"--shiki-dark-bg":`#121212`}},[s(`pre`,{class:`shiki shiki-themes vitesse-light vitesse-dark vp-code`},[s(`code`,{class:`language-sh`},[s(`span`,{class:`line`},[s(`span`,{style:{"--shiki-light":`#59873A`,"--shiki-dark":`#80A665`}},`pnpm`),s(`span`,{style:{"--shiki-light":`#B56959`,"--shiki-dark":`#C98A7D`}},` add`),s(`span`,{style:{"--shiki-light":`#B56959`,"--shiki-dark":`#C98A7D`}},` @mathjax/src`)])])])],-1)]]),tab1:e(({value:e,isActive:t})=>[...l[6]||=[s(`div`,{class:`language-sh`,"data-highlighter":`shiki`,"data-ext":`sh`,style:{"--shiki-light":`#393a34`,"--shiki-dark":`#dbd7caee`,"--shiki-light-bg":`#ffffff`,"--shiki-dark-bg":`#121212`}},[s(`pre`,{class:`shiki shiki-themes vitesse-light vitesse-dark vp-code`},[s(`code`,{class:`language-sh`},[s(`span`,{class:`line`},[s(`span`,{style:{"--shiki-light":`#59873A`,"--shiki-dark":`#80A665`}},`yarn`),s(`span`,{style:{"--shiki-light":`#B56959`,"--shiki-dark":`#C98A7D`}},` add`),s(`span`,{style:{"--shiki-light":`#B56959`,"--shiki-dark":`#C98A7D`}},` @mathjax/src`)])])])],-1)]]),tab2:e(({value:e,isActive:t})=>[...l[7]||=[s(`div`,{class:`language-sh`,"data-highlighter":`shiki`,"data-ext":`sh`,style:{"--shiki-light":`#393a34`,"--shiki-dark":`#dbd7caee`,"--shiki-light-bg":`#ffffff`,"--shiki-dark-bg":`#121212`}},[s(`pre`,{class:`shiki shiki-themes vitesse-light vitesse-dark vp-code`},[s(`code`,{class:`language-sh`},[s(`span`,{class:`line`},[s(`span`,{style:{"--shiki-light":`#59873A`,"--shiki-dark":`#80A665`}},`npm`),s(`span`,{style:{"--shiki-light":`#B56959`,"--shiki-dark":`#C98A7D`}},` i`),s(`span`,{style:{"--shiki-light":`#B56959`,"--shiki-dark":`#C98A7D`}},` @mathjax/src`)])])])],-1)]]),_:1}),l[22]||=s(`h2`,{id:`语法`,tabindex:`-1`},[s(`a`,{class:`header-anchor`,href:`#语法`},[s(`span`,null,`语法`)])],-1),l[23]||=s(`h3`,{id:`内联语法`,tabindex:`-1`},[s(`a`,{class:`header-anchor`,href:`#内联语法`},[s(`span`,null,`内联语法`)])],-1),l[24]||=s(`p`,null,[a(`使用 `),s(`code`,null,`$`),a(` 包裹数学公式 `),s(`em`,null,[a(`（即在两个 `),s(`code`,null,`$`),a(` 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`),s(`span`,{class:`katex`},[s(`span`,{class:`katex-mathml`},[s(`math`,{xmlns:`http://www.w3.org/1998/Math/MathML`},[s(`semantics`,null,[s(`mrow`,null,[s(`msup`,null,[s(`mi`,{mathvariant:`double-struck`},`R`),s(`mn`,null,`2`)])]),s(`annotation`,{encoding:`application/x-tex`},`\\mathbb{R}^2`)])])]),s(`span`,{class:`katex-html`,"aria-hidden":`true`},[s(`span`,{class:`base`},[s(`span`,{class:`strut`,style:{height:`0.8141em`}}),s(`span`,{class:`mord`},[s(`span`,{class:`mord mathbb`},`R`),s(`span`,{class:`msupsub`},[s(`span`,{class:`vlist-t`},[s(`span`,{class:`vlist-r`},[s(`span`,{class:`vlist`,style:{height:`0.8141em`}},[s(`span`,{style:{top:`-3.063em`,"margin-right":`0.05em`}},[s(`span`,{class:`pstrut`,style:{height:`2.7em`}}),s(`span`,{class:`sizing reset-size6 size3 mtight`},[s(`span`,{class:`mord mtight`},`2`)])])])])])])])])])]),a(`.`)],-1)]),_:1}),l[25]||=o(`<h3 id="块级语法" tabindex="-1"><a class="header-anchor" href="#块级语法"><span>块级语法</span></a></h3><p>使用 <code>$$</code> 包裹数学公式 <em>（即在两个 <code>$$</code> 之间编写数学公式）</em></p><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#393a34;--shiki-dark:#dbd7caee;--shiki-light-bg:#ffffff;--shiki-dark-bg:#121212;"><pre class="shiki shiki-themes vitesse-light vitesse-dark vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;"><!-- 在两个 \`</span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;" class="highlighted-word">$$</span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;">\` 之间编写数学公式，在单独的块中渲染 --></span></span>
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<span class="line"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;" class="highlighted-word">$$</span><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">xxx</span><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;" class="highlighted-word">$$</span></span>
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<span class="line"></span>
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<span class="line"><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;"><!-- 两个 \`</span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;" class="highlighted-word">$$</span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;">\` 可以单独占一行，数学公式在它们之间 --></span></span>
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<span class="line highlighted-word"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">$$</span></span>
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<span class="line"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">xxx</span></span>
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<span class="line highlighted-word"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">$$</span></span></code></pre></div>`,3),r(S,{type:`markdown`,title:`块级模式`,expanded:``},{code:e(()=>[...l[10]||=[s(`div`,{class:`language-md`,"data-highlighter":`shiki`,"data-ext":`md`,style:{"--shiki-light":`#393a34`,"--shiki-dark":`#dbd7caee`,"--shiki-light-bg":`#ffffff`,"--shiki-dark-bg":`#121212`}},[s(`pre`,{class:`shiki shiki-themes vitesse-light vitesse-dark vp-code`},[s(`code`,{class:`language-md`},[s(`span`,{class:`line`},[s(`span`,{style:{"--shiki-light":`#393A34`,"--shiki-dark":`#DBD7CAEE`}},`$$`)]),a(`
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`),s(`span`,{class:`line`},[s(`span`,{style:{"--shiki-light":`#393A34`,"--shiki-dark":`#DBD7CAEE`}},`\\frac {\\partial^r} {\\partial \\omega^r} \\left(\\frac {y^{\\omega}} {\\omega}\\right)`)]),a(`
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`),s(`span`,{class:`line`},[s(`span`,{style:{"--shiki-light":`#393A34`,"--shiki-dark":`#DBD7CAEE`}},`= \\left(\\frac {y^{\\omega}} {\\omega}\\right) \\left`),s(`span`,{style:{"--shiki-light":`#A65E2B`,"--shiki-dark":`#C99076`}},`\\{`),s(`span`,{style:{"--shiki-light":`#393A34`,"--shiki-dark":`#DBD7CAEE`}},`(\\log y)^r + \\sum_{i=1}^r \\frac {(-1)^ Ir \\cdots (r-i+1) (\\log y)^{ri}} {\\omega^i} \\right`),s(`span`,{style:{"--shiki-light":`#A65E2B`,"--shiki-dark":`#C99076`}},`\\}`)]),a(`
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id="tex" tabindex="-1"><a class="header-anchor" href="#tex"><span>TeX</span></a></h3><p><a href="https://www.overleaf.com/learn/latex/Learn_LaTeX_in_30_minutes" class="readmore" target="_blank" rel="noopener noreferrer">TeX 教程</a><a href="https://mdit-plugins.github.io/zh/tex.html#tex-tutorial" class="readmore" target="_blank" rel="noopener noreferrer">TeX 速查表</a></p><h3 id="katex" tabindex="-1"><a class="header-anchor" href="#katex"><span>KateX</span></a></h3><p><a href="https://katex.org/docs/supported.html" class="readmore" target="_blank" rel="noopener noreferrer">KateX 支持功能</a><a href="https://katex.org/docs/support_table.html" class="readmore" target="_blank" rel="noopener noreferrer">KateX 支持列表</a></p><h3 id="mathjax" tabindex="-1"><a class="header-anchor" href="#mathjax"><span>Mathjax</span></a></h3><p><a href="https://docs.mathjax.org/en/latest/input/tex/macros/index.html#tex-commands" class="readmore" target="_blank" rel="noopener noreferrer">支持的 TeX / KateX 命令</a></p><h2 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