gitea-yuany3721/vuepress-theme-plume
1
0
Fork 1
mirror of https://github.com/pengzhanbo/vuepress-theme-plume.git synced 2026-05-01 12:38:12 +08:00
Code Issues Packages Projects Releases Wiki Activity
vuepress-theme-plume/en/guide/markdown/math/index.html

19 lines
121 KiB
HTML
Raw Blame History

This file contains invisible Unicode characters

This file contains invisible Unicode characters that are indistinguishable to humans but may be processed differently by a computer. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

<!doctype html><html lang="en-US"><head><meta charset="utf-8" /><meta name="viewport" content="width=device-width,initial-scale=1" /><meta name="generator" content="VuePress 2.0.0-rc.28" /><meta name="theme" content="VuePress Theme Plume 1.0.0-rc.195" /><script id="check-mac-os">document.documentElement.classList.toggle('mac', /Mac|iPhone|iPod|iPad/i.test(navigator.platform))</script><script id="check-dark-mode">;(function () {const um= localStorage.getItem('vuepress-theme-appearance') || 'auto';const sm = window.matchMedia && window.matchMedia('(prefers-color-scheme: dark)').matches;const isDark = um === 'dark' || (um !== 'light' && sm);document.documentElement.dataset.theme = isDark ? 'dark' : 'light';})();</script><script type="application/ld+json">{"@context":"https://schema.org","@type":"Article","headline":"Mathematical Formulas","image":[""],"dateModified":"2025-12-01T03:30:33.000Z","author":[]}</script><meta property="og:url" content="https://theme-plume.vuejs.press/en/guide/markdown/math/"><meta property="og:site_name" content="Plume Theme"><meta property="og:title" content="Mathematical Formulas"><meta property="og:description" content="Overview The theme has built-in support for mathematical formulas. This feature is powered by @vuepress/plugin-markdown-math. You can choose to render mathematical formulas in m..."><meta property="og:type" content="article"><meta property="og:locale" content="en-US"><meta property="og:locale:alternate" content="zh-CN"><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="zh-cn" href="https://theme-plume.vuejs.press/guide/markdown/math/"><link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"><link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"><meta name="google-site-verification" content="AaTP7bapCAcoO9ZGE67ilpy99GL6tYqtD30tRHjO9Ps"><title>Mathematical Formulas | Guide | Plume Theme</title><meta name="description" content="Overview The theme has built-in support for mathematical formulas. This feature is powered by @vuepress/plugin-markdown-math. You can choose to render mathematical formulas in m..."><link rel="preload" href="/assets/style-DnsiUdcZ.css" as="style"><link rel="stylesheet" href="/assets/style-DnsiUdcZ.css"><link rel="modulepreload" href="/assets/app-B2DsuqVi.js"><link rel="modulepreload" href="/assets/plugin-vue_export-helper-CxTVcLa7.js"><link rel="modulepreload" href="/assets/chunk-DseTPa7n.js"><link rel="modulepreload" href="/assets/preload-helper-ca-nBW7U.js"><link rel="modulepreload" href="/assets/composables-DsGBjQEX.js"><link rel="modulepreload" href="/assets/VPHomeHero-D17FBc21.js"><link rel="modulepreload" href="/assets/composables-3J5ZwNFM.js"><link rel="modulepreload" href="/assets/client-C5e5tgZO.js"><link rel="modulepreload" href="/assets/theme-colors-bZHGy5AR.js"><link rel="modulepreload" href="/assets/VPButton-CjpnmuwG.js"><link rel="modulepreload" href="/assets/runtime-core.esm-bundler-CZvn3YaB.js"><link rel="modulepreload" href="/assets/runtime-dom.esm-bundler-DTRCDnrc.js"><link rel="modulepreload" href="/assets/dist-CMy7OcvW.js"><link rel="modulepreload" href="/assets/codeRepl-BV_0qCs3.js"><link rel="modulepreload" href="/assets/VPCopyright-DQT4wCul.js"><link rel="modulepreload" href="/assets/math-D62MlE9U.js"></head><body><div id="app"><!--[--><!--[--><div class="theme-plume vp-layout" vp-container data-v-a5aadcf6><!--[--><!--[--><!--]--><!--[--><span tabindex="-1" data-v-26bc9d93></span><a href="#VPContent" class="vp-skip-link visually-hidden" data-v-26bc9d93> Skip to content </a><!--]--><!----><header class="vp-nav" data-v-a5aadcf6 data-v-f81e37e9><div class="vp-navbar" vp-navbar data-v-f81e37e9 data-v-b90976a4><div class="wrapper" data-v-b90976a4><div class="container" data-v-b90976a4><div class="title" data-v-b90976a4><div class="vp-navbar-title has-sidebar" data-v-b90976a4 data-v-f77fe1b1><a class="vp-link link no-icon title" href="/en/" data-v-f77fe1b1><!--[--><!--[--><!--]--><!--[--><!--[--><!--[--><img class="vp-image dark logo" style="" src="/plume.png" alt data-v-414baac9><!--]--><!--[--><img class="vp-image light logo" style="" src="/plume.png" alt data-v-414baac9><!--]--><!--]--><!--]--><span data-v-f77fe1b1>Plume Theme</span><!--[--><!--]--><!--]--><!--[--><!--]--><!----></a></div></div><div class="content" data-v-b90976a4><div class="content-body" data-v-b90976a4><!--[--><!--]--><div class="vp-navbar-search search" data-v-b90976a4><div class="search-wrapper" data-v-62419745><!----><div id="local-search" data-v-62419745><button type="button" class="mini-search mini-search-button" aria-label="Search" data-v-62419745><span class="mini-search-button-container"><span class="mini-search-search-icon vpi-mini-search" aria-label="search icon"></span><span class="mini-search-button-placeholder">Search</span></span><span class="mini-search-button-keys"><kbd class="mini-search-button-key"></kbd><kbd class="mini-search-button-key">K</kbd></span></button></div></div></div><!--[--><!--]--><nav aria-labelledby="main-nav-aria-label" class="vp-navbar-menu menu" data-v-b90976a4 data-v-b42927e7><span id="main-nav-aria-label" class="visually-hidden" data-v-b42927e7>Main Navigation</span><!--[--><!--[--><a class="vp-link link navbar-menu-link active" href="/en/guide/intro/" tabindex="0" data-v-b42927e7 data-v-29cf8989><!--[--><span class="vp-icon vpi-icon-park-outline-guide-board" style="" aria-hidden data-provider="iconify" data-v-29cf8989></span><span data-v-29cf8989>Guide</span><!----><!--]--><!--[--><!--]--><!----></a><!--]--><!--[--><a class="vp-link link navbar-menu-link" href="/en/config/intro/" tabindex="0" data-v-b42927e7 data-v-29cf8989><!--[--><span class="vp-icon vpi-icon-park-outline-setting-two" style="" aria-hidden data-provider="iconify" data-v-29cf8989></span><span data-v-29cf8989>Config</span><!----><!--]--><!--[--><!--]--><!----></a><!--]--><!--[--><a class="vp-link link navbar-menu-link" href="/en/blog/" tabindex="0" data-v-b42927e7 data-v-29cf8989><!--[--><span class="vp-icon vpi-material-symbols-article-outline" style="" aria-hidden data-provider="iconify" data-v-29cf8989></span><span data-v-29cf8989>Blog</span><!----><!--]--><!--[--><!--]--><!----></a><!--]--><!--[--><div class="vp-flyout vp-navbar-menu-group" data-v-b42927e7 data-v-15bfbb59><button type="button" class="button" aria-haspopup="true" aria-expanded="false" data-v-15bfbb59><span class="text" data-v-15bfbb59><span class="vp-icon vpi-icon-park-outline-more-three" style="" aria-hidden data-provider="iconify" data-v-15bfbb59></span><!----><span data-v-15bfbb59>More</span><!----><span class="vpi-chevron-down text-icon" data-v-15bfbb59></span></span></button><div class="menu" data-v-15bfbb59><div class="vp-menu" data-v-15bfbb59 data-v-f3964f32><div class="items" data-v-f3964f32><!--[--><!--[--><div class="vp-menu-link" data-v-f3964f32 data-v-e06ddb34><a class="vp-link link" href="/en/faq/" data-v-e06ddb34><!--[--><span class="vp-icon vpi-wpf-faq" style="" aria-hidden data-provider="iconify" data-v-e06ddb34></span> FAQ <!----><!--]--><!--[--><!--]--><!----></a></div><!--]--><!--[--><div class="vp-menu-link" data-v-f3964f32 data-v-e06ddb34><a class="vp-link link" href="/en/tools/" data-v-e06ddb34><!--[--><span class="vp-icon vpi-jam-tools" style="" aria-hidden data-provider="iconify" data-v-e06ddb34></span> Theme Tools <!----><!--]--><!--[--><!--]--><!----></a></div><!--]--><!--[--><div class="vp-menu-link" data-v-f3964f32 data-v-e06ddb34><a class="vp-link link" href="/en/friends/" data-v-e06ddb34><!--[--><span class="vp-icon vpi-carbon-friendship" style="" aria-hidden data-provider="iconify" data-v-e06ddb34></span> Friend Links <!----><!--]--><!--[--><!--]--><!----></a></div><!--]--><!--[--><div class="vp-menu-group" data-v-f3964f32 data-v-6c770283><p class="title" data-v-6c770283><span class="vp-icon vpi-logos-vue bg" style="" aria-hidden data-provider="iconify" data-v-6c770283></span><span data-v-6c770283>Vuepress</span></p><!--[--><!--[--><div class="vp-menu-link" data-v-6c770283 data-v-e06ddb34><a class="vp-link link vp-external-link-icon" href="https://v2.vuepress.vuejs.org" target="_blank" rel="noopener noreferrer" data-v-e06ddb34><!--[--><span class="vp-icon vpi-logos-vue bg" style="" aria-hidden data-provider="iconify" data-v-e06ddb34></span> Official Docs <!----><!--]--><!--[--><!--]--><span class="visually-hidden">(Open in new window)</span></a></div><!--]--><!--[--><div class="vp-menu-link" data-v-6c770283 data-v-e06ddb34><a class="vp-link link vp-external-link-icon" href="https://ecosystem.vuejs.press/" target="_blank" rel="noopener noreferrer" data-v-e06ddb34><!--[--><span class="vp-icon vpi-logos-vue bg" style="" aria-hidden data-provider="iconify" data-v-e06ddb34></span> Ecosystem <!----><!--]--><!--[--><!--]--><span class="visually-hidden">(Open in new window)</span></a></div><!--]--><!--]--></div><!--]--><!--]--></div><!--[--><!--]--></div></div></div><!--]--><!--[--><div class="vp-flyout vp-navbar-menu-group" data-v-b42927e7 data-v-15bfbb59><button type="button" class="button" aria-haspopup="true" aria-expanded="false" data-v-15bfbb59><span class="text" data-v-15bfbb59><span class="vp-icon vpi-codicon-versions" style="" aria-hidden data-provider="iconify" data-v-15bfbb59></span><!----><span data-v-15bfbb59>1.0.0-rc.195</span><span class="vp-badge tip vp-menu-badge" style="" data-v-15bfbb59 data-v-52c8341f><!--[-->New<!--]--></span><span class="vpi-chevron-down text-icon" data-v-15bfbb59></span></span></button><div class="menu" data-v-15bfbb59><div class="vp-menu" data-v-15bfbb59 data-v-f3964f32><div class="items" data-v-f3964f32><!--[--><!--[--><div class="vp-menu-link" data-v-f3964f32 data-v-e06ddb34><a class="vp-link link" href="/en/changelog/" data-v-e06ddb34><!--[--><!----> Changelog <!----><!--]--><!--[--><!--]--><!----></a></div><!--]--><!--[--><div class="vp-menu-link" data-v-f3964f32 data-v-e06ddb34><a class="vp-link link" href="/en/contributing/" data-v-e06ddb34><!--[--><!----> Contributing <!----><!--]--><!--[--><!--]--><!----></a></div><!--]--><!--]--></div><!--[--><!--]--></div></div></div><!--]--><!--]--></nav><!--[--><!--]--><div class="vp-flyout vp-navbar-translations translations" data-v-b90976a4 data-v-e0a18246 data-v-15bfbb59><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="Languages" data-v-15bfbb59><span class="text" data-v-15bfbb59><!----><span class="vpi-languages option-icon" data-v-15bfbb59></span><!----><!----><span class="vpi-chevron-down text-icon" data-v-15bfbb59></span></span></button><div class="menu" data-v-15bfbb59><div class="vp-menu" data-v-15bfbb59 data-v-f3964f32><!----><!--[--><!--[--><div class="items" data-v-e0a18246><p class="title" data-v-e0a18246>English</p><!--[--><div class="vp-menu-link" data-v-e0a18246 data-v-e06ddb34><a class="vp-link link" href="/guide/markdown/math/" data-v-e06ddb34><!--[--><!----> 简体中文 <!----><!--]--><!--[--><!--]--><!----></a></div><!--]--></div><!--]--><!--]--></div></div></div><div class="vp-navbar-appearance appearance" data-v-b90976a4 data-v-17780d44><button class="vp-switch vp-switch-appearance" type="button" role="switch" aria-checked="false" title data-v-17780d44 data-v-cbe77d87 data-v-36bbbf22><span class="check" data-v-36bbbf22><span class="icon" data-v-36bbbf22><!--[--><span class="vpi-sun sun" data-v-cbe77d87></span><span class="vpi-moon moon" data-v-cbe77d87></span><!--]--></span></span></button></div><div class="vp-social-links vp-navbar-social-links social-links" data-v-b90976a4 data-v-ba70645a data-v-5dc0805d><!--[--><a class="vp-social-link no-icon" href="https://github.com/pengzhanbo/vuepress-theme-plume" aria-label="github" title="github" target="_blank" rel="noopener" data-v-5dc0805d data-v-c5bc2a09><span class="vp-icon vpi-simple-icons-github" style="" aria-hidden data-provider="iconify" data-v-c5bc2a09></span></a><a class="vp-social-link no-icon" href="https://qm.qq.com/q/FbPPoOIscE" aria-label="qq" title="qq" target="_blank" rel="noopener" data-v-5dc0805d data-v-c5bc2a09><span class="vp-icon vpi-simple-icons-qq" style="" aria-hidden data-provider="iconify" data-v-c5bc2a09></span></a><!--]--></div><div class="vp-flyout vp-navbar-extra extra" data-v-b90976a4 data-v-7e94ae84 data-v-15bfbb59><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-15bfbb59><span class="vpi-more-horizontal icon" data-v-15bfbb59></span></button><div class="menu" data-v-15bfbb59><div class="vp-menu" data-v-15bfbb59 data-v-f3964f32><!----><!--[--><!--[--><div class="group translations" data-v-7e94ae84><p class="trans-title" data-v-7e94ae84>English</p><!--[--><div class="vp-menu-link" data-v-7e94ae84 data-v-e06ddb34><a class="vp-link link" href="/guide/markdown/math/" data-v-e06ddb34><!--[--><!----> 简体中文 <!----><!--]--><!--[--><!--]--><!----></a></div><!--]--></div><div class="group appearance" data-v-7e94ae84><div class="item appearance" data-v-7e94ae84><p class="label" data-v-7e94ae84>Appearance</p><div class="appearance-action" data-v-7e94ae84><button class="vp-switch vp-switch-appearance" type="button" role="switch" aria-checked="false" title data-v-7e94ae84 data-v-cbe77d87 data-v-36bbbf22><span class="check" data-v-36bbbf22><span class="icon" data-v-36bbbf22><!--[--><span class="vpi-sun sun" data-v-cbe77d87></span><span class="vpi-moon moon" data-v-cbe77d87></span><!--]--></span></span></button></div></div></div><div class="group social" data-v-7e94ae84><div class="item social-links" data-v-7e94ae84><div class="vp-social-links social-links-list" data-v-7e94ae84 data-v-5dc0805d><!--[--><a class="vp-social-link no-icon" href="https://github.com/pengzhanbo/vuepress-theme-plume" aria-label="github" title="github" target="_blank" rel="noopener" data-v-5dc0805d data-v-c5bc2a09><span class="vp-icon vpi-simple-icons-github" style="" aria-hidden data-provider="iconify" data-v-c5bc2a09></span></a><a class="vp-social-link no-icon" href="https://qm.qq.com/q/FbPPoOIscE" aria-label="qq" title="qq" target="_blank" rel="noopener" data-v-5dc0805d data-v-c5bc2a09><span class="vp-icon vpi-simple-icons-qq" style="" aria-hidden data-provider="iconify" data-v-c5bc2a09></span></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="vp-navbar-hamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="nav-screen" data-v-b90976a4 data-v-2122c19e><span class="container" data-v-2122c19e><span class="top" data-v-2122c19e></span><span class="middle" data-v-2122c19e></span><span class="bottom" data-v-2122c19e></span></span></button></div></div></div></div><div class="divider" data-v-b90976a4><div class="divider-line" data-v-b90976a4></div></div></div><!----></header><div class="vp-local-nav reached-top has-sidebar" data-v-a5aadcf6 data-v-5171e520><button class="menu" aria-expanded="false" aria-controls="SidebarNav" data-v-5171e520><span class="vpi-align-left menu-icon" data-v-5171e520></span><span class="menu-text" data-v-5171e520>Menu</span></button><div class="vp-local-nav-outline-dropdown" style="--vp-vh:0px;" data-v-5171e520 data-v-d5044118><!----><!----></div></div><!--[--><aside class="vp-sidebar" vp-sidebar data-v-28af193e><div class="curtain" data-v-28af193e></div><nav id="SidebarNav" class="nav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-28af193e><span id="sidebar-aria-label" class="visually-hidden" data-v-28af193e> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-71ba64cb><section class="vp-sidebar-item sidebar-item level-0 collapsible" data-v-71ba64cb data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-carbon-idea" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h2 class="text" data-v-ab4803a9><span data-v-ab4803a9>Quick Start</span><!----></h2><button type="button" class="caret" aria-label="Collapse Quick Start" aria-expanded="true" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-tooltip-text-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/intro/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Introduction</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-grommet-icons-install" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/usage/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Installation & Usage</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ph-tree-structure-bold" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/project-structure/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Project Structure</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><section class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fluent-list-bar-tree-16-regular" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/collection/" data-v-ab4803a9><!--[--><h3 class="text" data-v-ab4803a9><span data-v-ab4803a9>Collection</span><!----></h3><!--]--><!--[--><!--]--><!----></a><!----></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-post-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/collection/post/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Post Collection</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-streamline-ultimate-sidebar-line-left" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/collection/doc/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Doc Collection</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ph-sidebar-duotone" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/sidebar/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Sidebar</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mingcute-edit-4-line" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/write/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Writing Articles</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-markdown-outline-rounded" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/auto-frontmatter/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>frontmatter</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-light-language" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/locales/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Internationalization</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-deployed-code-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/deployment/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Deployment</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-clarity-bundle-solid" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/optimize-build/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Build Optimization</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section></div><div class="no-transition group" data-v-71ba64cb><section class="vp-sidebar-item sidebar-item level-0 collapsible has-active" data-v-71ba64cb data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fluent-mdl2-edit-create" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h2 class="text" data-v-ab4803a9><span data-v-ab4803a9>Write</span><!----></h2><button type="button" class="caret" aria-label="Collapse Write" aria-expanded="true" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><section class="vp-sidebar-item sidebar-item level-1 collapsible has-active" data-v-ab4803a9 data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-markdown-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h3 class="text" data-v-ab4803a9><span data-v-ab4803a9>markdown</span><!----></h3><button type="button" class="caret" aria-label="Collapse markdown" aria-expanded="true" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fluent-markdown-20-filled" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/basic/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Basic</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fluent-mdl2-auto-enhance-on" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/extensions/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Extensions</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ic-outline-data-object" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/attrs/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Attribute Support</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-emoji-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/emoji/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>emoji</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-tabler-math" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/math/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Mathematical Formulas</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-table-plus" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/table/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Table Enhancement</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-grommet-icons-emoji" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/icons/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Icons</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mingcute-mark-pen-line" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/mark/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Mark</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-weui-eyes-off-outlined" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/plot/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Plot Text</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-tooltip-question-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/abbreviation/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Abbreviations</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-iconamoon-comment-add-light" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/annotation/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Annotation</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-message-text-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/container/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Tip Containers</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-alert-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/github-alerts/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>GitHub Alerts</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-solar-card-broken" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/card/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Card</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-streamline-steps-number" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/steps/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Steps</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-file-tree" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/file-tree/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>File Tree</span><span class="vp-badge warning vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->Change<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-stash-side-peek" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/code-tree/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Code Tree</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-solar-text-field-linear" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/field/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Field Container</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-vaadin-tabs" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/tabs/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Tab Groups</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-uiw-qrcode" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/qrcode/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>QR Code</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-timeline-text-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/timeline/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Timeline</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fxemoji-window bg" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/window/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Demo Container</span><span class="vp-badge warning vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->Change<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-light-flex-no-wrap" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/flex/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Flex Container</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-carbon-collapse-categories" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/collapse/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Collapse Panel</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-gg-npm" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/npm-to/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>npmTo Container</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-streamline-desktop-help" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/caniuse/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Can I Use</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-cil-chat-bubble" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/chat/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Chat Records</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fluent-table-simple-include-16-regular" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/include/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>File Inclusion</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-eos-icons-env" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/env/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Environment preset</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-simple-icons-obsidian" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/obsidian/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Obsidian Compatibility</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section><section class="vp-sidebar-item sidebar-item level-1 collapsible collapsed" data-v-ab4803a9 data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ph-code-bold" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h3 class="text" data-v-ab4803a9><span data-v-ab4803a9>code block</span><!----></h3><button type="button" class="caret" aria-label="Expand code block" aria-expanded="false" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div style="display:none;" data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ic-outline-code" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/intro/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Introduction</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-majesticons-code-block-line" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/features/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Feature Support</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ph-code" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/copy-code/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Copy Code</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fluent-group-list-20-filled" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/group/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Code Grouping</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-import" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/import/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Import Code</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-experiment-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/markdown/twoslash/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Two Slash</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section><section class="vp-sidebar-item sidebar-item level-1 collapsible collapsed" data-v-ab4803a9 data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-carbon-demo" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h3 class="text" data-v-ab4803a9><span data-v-ab4803a9>code repl</span><!----></h3><button type="button" class="caret" aria-label="Expand code repl" aria-expanded="false" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div style="display:none;" data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-icon-park-outline-html-five" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/repl/frontend/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Frontend Demo</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-simple-icons-rust" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/repl/rust/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Rust</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-devicon-plain-go" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/repl/golang/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Golang</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-tabler-brand-kotlin" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/repl/kotlin/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Kotlin</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-devicon-plain-python" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/repl/python/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Python</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mingcute-codepen-line" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/code-pen/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Code Pen</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-bxl-jsfiddle" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/jsfiddle/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Js Fiddle</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-lucide-codesandbox" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/code-sandbox/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Code Sandbox</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-simple-icons-replit" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/code/replit/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Replit</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section><section class="vp-sidebar-item sidebar-item level-1 collapsible collapsed" data-v-ab4803a9 data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-chart-line" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h3 class="text" data-v-ab4803a9><span data-v-ab4803a9>charts</span><!----></h3><button type="button" class="caret" aria-label="Expand charts" aria-expanded="false" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div style="display:none;" data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-solar-chart-bold" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/chart/chartjs/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>chart.js</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-raphael-piechart" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/chart/echarts/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>ECharts</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-file-icons-mermaid" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/chart/mermaid/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Mermaid</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-f7-flowchart" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/chart/flowchart/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>flowchart</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ri-mind-map" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/chart/markmap/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>markmap</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-arcticons-uml-class-editor" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/chart/plantuml/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>PlantUML</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section><section class="vp-sidebar-item sidebar-item level-1 collapsible collapsed" data-v-ab4803a9 data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-dashicons-embed-video" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h3 class="text" data-v-ab4803a9><span data-v-ab4803a9>resource embedded</span><!----></h3><button type="button" class="caret" aria-label="Expand resource embedded" aria-expanded="false" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div style="display:none;" data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-teenyicons-pdf-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/embed/pdf/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>PDF Reader</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ri-bilibili-fill" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/embed/video/bilibili/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Bilibili Video</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-lets-icons-video-fill" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/embed/video/acfun/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>AcFun Video</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-youtube" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/embed/video/youtube/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>YouTube Video</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-icon-park-outline-video" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/embed/video/artplayer/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>ArtPlayer Video</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-rivet-icons-audio" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/embed/audio/reader/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Audio Reader</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section><!--]--></div></div></section></div><div class="no-transition group" data-v-71ba64cb><section class="vp-sidebar-item sidebar-item level-0 collapsible" data-v-71ba64cb data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-lucide-box" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h2 class="text" data-v-ab4803a9><span data-v-ab4803a9>Features</span><!----></h2><button type="button" class="caret" aria-label="Collapse Features" aria-expanded="true" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-raphael-smile2" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/icon/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Icons</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-search" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/content-search/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Content Search</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ri-image-line" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/image-preview/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Image Preview</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-la-comment" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/comments/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Comments</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mingcute-announcement-line" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/bulletin/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Bulletin</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-encryption-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/encryption/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Encryption</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-simple-icons-contributorcovenant" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/contributors/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Contributors</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-radix-icons-activity-log" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/changelog/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Changelog</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-lucide-creative-commons" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/copyright/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Article Copyright</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-light-branding-watermark-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/watermark/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Article Watermark</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-carbon-friendship" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/friend-links/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Friend Links Page</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-lucide-replace" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/replace-assets/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Replace Assets</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-tabler-seo" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/seo/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>SEO</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-sitemap-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/sitemap/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>sitemap</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ri-ai" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/features/llmstxt/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>LLMs txt</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section></div><div class="no-transition group" data-v-71ba64cb><section class="vp-sidebar-item sidebar-item level-0 collapsible" data-v-71ba64cb data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-uiw-component" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h2 class="text" data-v-ab4803a9><span data-v-ab4803a9>Component</span><!----></h2><button type="button" class="caret" aria-label="Collapse Component" aria-expanded="true" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-iconamoon-badge-light" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/badge/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Badge</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-grommet-icons-emoji" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/icon/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Icon</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-lets-icons-hide-eye" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/plot/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Plot Text</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-solar-card-broken" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/card/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Card</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-solar-card-send-linear" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/link-card/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Link Card</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fa-photo" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/image-card/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Image Card</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-vaadin-grid-h" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/card-grid/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Card Grid</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ri-layout-masonry-line" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/card-masonry/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Masonry Card</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-tabler-container" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/home-box/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Home Layout Container</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-octicon-repo-16" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/github-repo-card/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Repo Card</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-akar-icons-npm-fill" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/npm-badge/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Npm Badge</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-dashicons-images-alt2" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/components/swiper/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Swiper</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section></div><div class="no-transition group" data-v-71ba64cb><section class="vp-sidebar-item sidebar-item level-0 collapsible" data-v-71ba64cb data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-dashboard-customize-outline-rounded" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h2 class="text" data-v-ab4803a9><span data-v-ab4803a9>Customization</span><!----></h2><button type="button" class="caret" aria-label="Collapse Customization" aria-expanded="true" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><section class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-material-symbols-home-outline" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/custom-home/" data-v-ab4803a9><!--[--><h3 class="text" data-v-ab4803a9><span data-v-ab4803a9>Custom Homepage</span><!----></h3><!--]--><!--[--><!--]--><!----></a><!----></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-2 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-icon-park-outline-effects" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/custom-home/hero-effect/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Hero Background Effects</span><span class="vp-badge tip vp-menu-badge" style="" data-v-ab4803a9 data-v-52c8341f><!--[-->New<!--]--></span></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-icon-park-outline-theme" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/custom-style/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Custom Styles</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-ph-layout-duotone" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/layout-slots/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Layout Slots</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-carbon-cics-sit-overrides" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/component-overrides/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Component Overrides</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section></div><div class="no-transition group" data-v-71ba64cb><section class="vp-sidebar-item sidebar-item level-0 collapsible" data-v-71ba64cb data-v-ab4803a9><div class="item" role="button" tabindex="0" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-mdi-api" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><h2 class="text" data-v-ab4803a9><span data-v-ab4803a9>API</span><!----></h2><button type="button" class="caret" aria-label="Collapse API" aria-expanded="true" tabindex="-1" data-v-ab4803a9><span class="vpi-chevron-right caret-icon" data-v-ab4803a9></span></button></div><div data-v-ab4803a9 data-v-ab4803a9><div class="items" data-v-ab4803a9><!--[--><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-nimbus-browser" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/api/client/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Client</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><div class="vp-sidebar-item sidebar-item level-1 is-link" data-v-ab4803a9 data-v-ab4803a9><div class="item" data-v-ab4803a9><div class="indicator" data-v-ab4803a9></div><span class="vp-icon vpi-fa6-brands-node" style="" aria-hidden data-provider="iconify" data-v-ab4803a9></span><a class="vp-link link link" href="/en/guide/api/node/" data-v-ab4803a9><!--[--><p class="text" data-v-ab4803a9><span data-v-ab4803a9>Node</span><!----></p><!--]--><!--[--><!--]--><!----></a><!----></div><!----></div><!--]--></div></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="vp-sidebar-control" data-v-28af193e><button type="button" class="toggle-sidebar-btn" aria-label="Toggle sidebar" data-v-28af193e><span class="vpi-sidebar-close" data-v-28af193e></span></button></div><!--]--><!--[--><div id="VPContent" vp-content class="vp-content has-sidebar" data-v-a5aadcf6 data-v-d3283ff2><div class="vp-doc-container has-sidebar has-aside" data-v-d3283ff2 data-v-c2acd915><!--[--><!--]--><div class="container" data-v-c2acd915><div class="aside" vp-outline data-v-c2acd915><div class="aside-curtain" data-v-c2acd915></div><div class="aside-container" data-v-c2acd915><div class="aside-content" data-v-c2acd915><div class="vp-doc-aside" data-v-c2acd915 data-v-8e9ccc00><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="vp-doc-aside-outline" role="navigation" data-v-8e9ccc00 data-v-c71a8a7e><div class="content" data-v-c71a8a7e><div class="outline-marker" data-v-c71a8a7e></div><div id="doc-outline-aria-label" aria-level="2" class="outline-title" role="heading" data-v-c71a8a7e><span data-v-c71a8a7e>On this page</span><span class="vpi-print icon" data-v-c71a8a7e></span></div><ul class="root" data-v-c71a8a7e data-v-875470cb><!--[--><!--]--></ul></div></nav><!--[--><!--[--><!--[--><!--[--><div class="aside-nav-wrapper" data-v-a5aadcf6 data-v-44a708ba><a class="vp-link link no-icon vp-external-link-icon link" href="https://github.com/pengzhanbo/vuepress-theme-plume" target="_blank" rel="noopener noreferrer" data-v-44a708ba><!--[--><span class="vp-icon vpi-tabler-star" style="" aria-hidden data-provider="iconify" data-v-44a708ba></span><span class="link-text" data-v-44a708ba>Star on GitHub</span><span class="vpi-arrow-right" data-v-44a708ba></span><!--]--><!--[--><!--]--><!----></a><a class="vp-link link no-icon vp-external-link-icon link" href="https://github.com/pengzhanbo/vuepress-theme-plume/issues/new/choose" target="_blank" rel="noopener noreferrer" data-v-44a708ba><!--[--><span class="vp-icon vpi-octicon-issue-opened-16" style="" aria-hidden data-provider="iconify" data-v-44a708ba></span><span class="link-text" data-v-44a708ba>Create Issues</span><span class="vpi-arrow-right" data-v-44a708ba></span><!--]--><!--[--><!--]--><!----></a><a class="vp-link link link" href="/sponsor/" data-v-44a708ba><!--[--><span class="vp-icon vpi-ep-milk-tea" style="" aria-hidden data-provider="iconify" data-v-44a708ba></span><span class="link-text" data-v-44a708ba>Buy me a Bubble Tea</span><span class="vpi-arrow-right" data-v-44a708ba></span><!--]--><!--[--><!--]--><!----></a></div><!--]--><!--]--><!--]--><!--]--><div class="spacer" data-v-8e9ccc00></div><!--[--><!--]--></div></div></div></div><div class="content" data-v-c2acd915><div class="content-container" data-v-c2acd915><!--[--><!--]--><main class="main" data-v-c2acd915><nav class="vp-breadcrumb" data-v-c2acd915 data-v-68dbda29><ol vocab="https://schema.org/" typeof="BreadcrumbList" data-v-68dbda29><!--[--><li property="itemListElement" typeof="ListItem" data-v-68dbda29><a class="vp-link link no-icon breadcrumb" href="/en/" property="item" typeof="WebPage" data-v-68dbda29><!--[-->Home<!--]--><!--[--><!--]--><!----></a><span class="vpi-chevron-right" data-v-68dbda29></span><meta property="name" content="Home" data-v-68dbda29><meta property="position" content="1" data-v-68dbda29></li><li property="itemListElement" typeof="ListItem" data-v-68dbda29><span class="vp-link no-icon breadcrumb" property="item" typeof="WebPage" data-v-68dbda29><!--[-->Guide<!--]--><!--[--><!--]--><!----></span><span class="vpi-chevron-right" data-v-68dbda29></span><meta property="name" content="Guide" data-v-68dbda29><meta property="position" content="2" data-v-68dbda29></li><li property="itemListElement" typeof="ListItem" data-v-68dbda29><span class="vp-link no-icon breadcrumb" property="item" typeof="WebPage" data-v-68dbda29><!--[-->markdown<!--]--><!--[--><!--]--><!----></span><span class="vpi-chevron-right" data-v-68dbda29></span><meta property="name" content="markdown" data-v-68dbda29><meta property="position" content="3" data-v-68dbda29></li><li property="itemListElement" typeof="ListItem" data-v-68dbda29><a class="vp-link link no-icon breadcrumb current" href="/en/guide/markdown/math/" property="item" typeof="WebPage" data-v-68dbda29><!--[-->Mathematical Formulas<!--]--><!--[--><!--]--><!----></a><!----><meta property="name" content="Mathematical Formulas" data-v-68dbda29><meta property="position" content="4" data-v-68dbda29></li><!--]--></ol></nav><!--[--><!--]--><!--[--><div class="vp-doc-title" data-v-42fa9e7c><!--[--><!--]--><h1 class="page-title" data-v-42fa9e7c><!----> Mathematical Formulas <!----></h1><!--[--><!--[--><!--[--><!--[--><div class="vp-page-context-menu" data-v-a5aadcf6 data-v-b0188d12><div class="page-context-button" type="button" data-v-b0188d12><span class="page-context-copy" data-v-b0188d12><span class="vpi-copy" data-v-b0188d12></span><span class="text" data-v-b0188d12>Copy page</span></span><span class="page-context-toggle" data-v-b0188d12><span class="vpi-chevron-down" data-v-b0188d12></span></span></div><ul class="page-context-menu" style="display:none;" data-v-b0188d12><li data-v-b0188d12><a href="javascript:void(0)" data-v-b0188d12><span class="vpi-copy" data-v-b0188d12></span><span data-v-b0188d12>Copy page <small data-v-b0188d12>Copy page as Markdown for LLMs</small></span></a></li><!--[--><li data-v-b0188d12><a href="/en/guide/markdown/math/index.md" target="_blank" rel="noopener noreferrer" aria-label="View as Markdown" type="text/markdown" data-allow-mismatch data-v-b0188d12><span class="vpi-markdown" data-v-b0188d12></span><span data-v-b0188d12>View as Markdown <span class="vpi-external-link" data-v-b0188d12></span><small data-v-b0188d12>View this page as plain text</small></span></a></li><li data-v-b0188d12><a href="https://chat.openai.com/?prompt=" target="_blank" rel="noopener noreferrer" aria-label="Open in ChatGPT" data-allow-mismatch data-v-b0188d12><span class="vpi-chatgpt" data-v-b0188d12></span><span data-v-b0188d12>Open in ChatGPT <span class="vpi-external-link" data-v-b0188d12></span><small data-v-b0188d12>Ask ChatGPT about this page</small></span></a></li><li data-v-b0188d12><a href="https://claude.ai/new?q=" target="_blank" rel="noopener noreferrer" aria-label="Open in Claude" data-allow-mismatch data-v-b0188d12><span class="vpi-claude" data-v-b0188d12></span><span data-v-b0188d12>Open in Claude <span class="vpi-external-link" data-v-b0188d12></span><small data-v-b0188d12>Ask Claude about this page</small></span></a></li><li data-v-b0188d12><a href="https://perplexity.ai/?q=" target="_blank" rel="noopener noreferrer" aria-label="Open in Perplexity" data-allow-mismatch data-v-b0188d12><span class="vpi-perplexity" data-v-b0188d12></span><span data-v-b0188d12>Open in Perplexity <span class="vpi-external-link" data-v-b0188d12></span><small data-v-b0188d12>Ask Perplexity about this page</small></span></a></li><!--]--></ul></div><!--]--><!--]--><!--]--><!--]--></div><div class="vp-doc-meta" data-v-42fa9e7c><!--[--><!--]--><p class="reading-time" data-v-42fa9e7c><span class="vpi-books icon" data-v-42fa9e7c></span><span data-v-42fa9e7c>About 479 words</span><span data-v-42fa9e7c>About 2 min</span></p><!----><!--[--><!--]--><p class="create-time" data-v-42fa9e7c><span class="vpi-clock icon" data-v-42fa9e7c></span><span data-v-42fa9e7c>2025-11-29</span></p></div><!--]--><!--[--><!--]--><!--[--><div class="_en_guide_markdown_math_ external-link-icon-enabled vp-doc plume-content" vp-content data-v-c2acd915><!--[--><!--]--><div data-v-c2acd915><h2 id="overview" tabindex="-1"><a class="header-anchor" href="#overview"><span>Overview</span></a></h2><p>The theme has built-in support for mathematical formulas.</p><p>This feature is powered by <a href="https://ecosystem.vuejs.press/zh/plugins/markdown/markdown-math.html" target="_blank" rel="noopener noreferrer">@vuepress/plugin-markdown-math</a>. You can choose to render mathematical formulas in markdown using the following methods:</p><ul><li><code>katex</code> (default)</li><li><code>mathjax</code></li></ul><h2 id="usage" tabindex="-1"><a class="header-anchor" href="#usage"><span>Usage</span></a></h2><div class="code-block-title" data-title=".vuepress/config.ts"><div class="code-block-title-bar"><span class="title"><span class="vp-icon vpi-vscode-icons-file-type-typescript bg" style="" aria-hidden data-provider="iconify"></span>.vuepress/config.ts</span></div><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>
<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>
<span class="line"><span style="--shiki-light:#998418;--shiki-dark:#B8A965;"> markdown</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">: {</span></span>
<span class="line"><span style="--shiki-light:#998418;--shiki-dark:#B8A965;"> math</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">: {</span></span>
<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;">&#39;</span><span style="--shiki-light:#B56959;--shiki-dark:#C98A7D;">katex</span><span style="--shiki-light:#B5695977;--shiki-dark:#C98A7D77;">&#39;</span><span style="--shiki-light:#999999;--shiki-dark:#666666;">, </span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;">// &#39;katex&#39; | &#39;mathjax&#39;</span></span>
<span class="line"><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;"> // ... Other configuration options</span></span>
<span class="line"><span style="--shiki-light:#999999;--shiki-dark:#666666;"> }</span></span>
<span class="line"><span style="--shiki-light:#999999;--shiki-dark:#666666;"> },</span></span>
<span class="line"><span style="--shiki-light:#999999;--shiki-dark:#666666;"> })</span></span>
<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></div><p>When you choose to use <code>mathjax</code>, you also need to install the dependency by running the following command:</p><div class="vp-code-tabs"><div class="vp-code-tabs-nav" role="tablist"><!--[--><button class="active vp-code-tab-nav" type="button" role="tab" aria-controls="codetab-0-0" aria-selected="true"><!--[--><span class="vp-icon vpi-vscode-icons-file-type-light-pnpm bg" style="" aria-hidden data-provider="iconify"></span><span>pnpm</span><!--]--></button><button class="vp-code-tab-nav" type="button" role="tab" aria-controls="codetab-0-1" aria-selected="false"><!--[--><span class="vp-icon vpi-vscode-icons-file-type-yarn bg" style="" aria-hidden data-provider="iconify"></span><span>yarn</span><!--]--></button><button class="vp-code-tab-nav" type="button" role="tab" aria-controls="codetab-0-2" aria-selected="false"><!--[--><span class="vp-icon vpi-logos-npm-icon bg" style="" aria-hidden data-provider="iconify"></span><span>npm</span><!--]--></button><!--]--></div><!--[--><div id="codetab-0-0" class="active vp-code-tab" role="tabpanel" aria-expanded="true"><div class="vp-code-tab-title"><!--[--><span class="vp-icon vpi-vscode-icons-file-type-light-pnpm bg" style="" aria-hidden data-provider="iconify"></span><span>pnpm</span><!--]--></div><!--[--><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;"><pre class="shiki shiki-themes vitesse-light vitesse-dark vp-code"><code class="language-sh"><span class="line"><span style="--shiki-light:#59873A;--shiki-dark:#80A665;">pnpm</span><span style="--shiki-light:#B56959;--shiki-dark:#C98A7D;"> add</span><span style="--shiki-light:#B56959;--shiki-dark:#C98A7D;"> @mathjax/src</span></span></code></pre></div><!--]--></div><div id="codetab-0-1" class="vp-code-tab" role="tabpanel" aria-expanded="false"><div class="vp-code-tab-title"><!--[--><span class="vp-icon vpi-vscode-icons-file-type-yarn bg" style="" aria-hidden data-provider="iconify"></span><span>yarn</span><!--]--></div><!--[--><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;"><pre class="shiki shiki-themes vitesse-light vitesse-dark vp-code"><code class="language-sh"><span class="line"><span style="--shiki-light:#59873A;--shiki-dark:#80A665;">yarn</span><span style="--shiki-light:#B56959;--shiki-dark:#C98A7D;"> add</span><span style="--shiki-light:#B56959;--shiki-dark:#C98A7D;"> @mathjax/src</span></span></code></pre></div><!--]--></div><div id="codetab-0-2" class="vp-code-tab" role="tabpanel" aria-expanded="false"><div class="vp-code-tab-title"><!--[--><span class="vp-icon vpi-logos-npm-icon bg" style="" aria-hidden data-provider="iconify"></span><span>npm</span><!--]--></div><!--[--><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;"><pre class="shiki shiki-themes vitesse-light vitesse-dark vp-code"><code class="language-sh"><span class="line"><span style="--shiki-light:#59873A;--shiki-dark:#80A665;">npm</span><span style="--shiki-light:#B56959;--shiki-dark:#C98A7D;"> i</span><span style="--shiki-light:#B56959;--shiki-dark:#C98A7D;"> @mathjax/src</span></span></code></pre></div><!--]--></div><!--]--></div><h2 id="syntax" tabindex="-1"><a class="header-anchor" href="#syntax"><span>Syntax</span></a></h2><h3 id="inline-syntax" tabindex="-1"><a class="header-anchor" href="#inline-syntax"><span>Inline Syntax</span></a></h3><p>Use <code>$</code> to wrap mathematical formulas <em>(i.e., write the mathematical formula between two <code>$</code> symbols)</em></p><div class="vp-demo-wrapper type"><div class="demo-draw"><!--[--><p>Euler&#39;s identity <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mi>e</mi><mrow><mi>i</mi><mi>π</mi></mrow></msup><mo>+</mo><mn>1</mn><mo>=</mo><mn>0</mn></mrow><annotation encoding="application/x-tex">e^{i\pi}+1=0</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.908em;vertical-align:-0.0833em;"></span><span class="mord"><span class="mord mathnormal">e</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8247em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.0359em;">iπ</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">1</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0</span></span></span></span> is a beautiful formula in <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mn>2</mn></msup></mrow><annotation encoding="application/x-tex">\mathbb{R}^2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8141em;"></span><span class="mord"><span class="mord mathbb">R</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span>.</p><!--]--></div><div class="demo-info"><p class="title">Inline Mode</p><!----></div><div class="demo-ctrl"><button type="button" aria-label="Toggle Code"><span class="vpi-demo-code"></span></button></div><div class="demo-code"><!--[--><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:#393A34;--shiki-dark:#DBD7CAEE;">Euler&#39;s identity $e^{i\pi}+1=0$ is a beautiful formula in $\mathbb{R}^2$.</span></span></code></pre></div><!--]--></div></div><h3 id="block-syntax" tabindex="-1"><a class="header-anchor" href="#block-syntax"><span>Block Syntax</span></a></h3><p>Use <code>$$</code> to wrap mathematical formulas <em>(i.e., write the mathematical formula between two <code>$$</code> symbols)</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;">&lt;!-- Write the mathematical formula between two `</span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;" class="highlighted-word">$$</span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;">` symbols, rendered in a separate block --&gt;</span></span>
<span class="line"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;" class="highlighted-word">$$</span><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">xxx</span><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;" class="highlighted-word">$$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;">&lt;!-- The two `</span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;" class="highlighted-word">$$</span><span style="--shiki-light:#A0ADA0;--shiki-dark:#758575DD;">` symbols can each occupy a separate line, with the mathematical formula between them --&gt;</span></span>
<span class="line highlighted-word"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">$$</span></span>
<span class="line"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">xxx</span></span>
<span class="line highlighted-word"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">$$</span></span></code></pre></div><div class="vp-demo-wrapper type"><div class="demo-draw"><!--[--><p class="katex-block"><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mfrac><msup><mi mathvariant="normal">∂</mi><mi>r</mi></msup><mrow><mi mathvariant="normal">∂</mi><msup><mi>ω</mi><mi>r</mi></msup></mrow></mfrac><mrow><mo fence="true">(</mo><mfrac><msup><mi>y</mi><mi>ω</mi></msup><mi>ω</mi></mfrac><mo fence="true">)</mo></mrow><mo>=</mo><mrow><mo fence="true">(</mo><mfrac><msup><mi>y</mi><mi>ω</mi></msup><mi>ω</mi></mfrac><mo fence="true">)</mo></mrow><mrow><mo fence="true">{</mo><mo stretchy="false">(</mo><mi>log</mi><mo>⁡</mo><mi>y</mi><msup><mo stretchy="false">)</mo><mi>r</mi></msup><mo>+</mo><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>r</mi></munderover><mfrac><mrow><mo stretchy="false">(</mo><mo>−</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mi>I</mi></msup><mi>r</mi><mo>⋯</mo><mo stretchy="false">(</mo><mi>r</mi><mo>−</mo><mi>i</mi><mo>+</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>log</mi><mo>⁡</mo><mi>y</mi><msup><mo stretchy="false">)</mo><mrow><mi>r</mi><mi>i</mi></mrow></msup></mrow><msup><mi>ω</mi><mi>i</mi></msup></mfrac><mo fence="true">}</mo></mrow></mrow><annotation encoding="application/x-tex">\frac {\partial^r} {\partial \omega^r} \left(\frac {y^{\omega}} {\omega}\right) = \left(\frac {y^{\omega}} {\omega}\right) \left\{(\log y)^r + \sum_{i=1}^r \frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i} \right\} </annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.4em;vertical-align:-0.95em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3714em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord" style="margin-right:0.0556em;">∂</span><span class="mord"><span class="mord mathnormal" style="margin-right:0.0359em;">ω</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.5904em;"><span style="top:-2.989em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.0278em;">r</span></span></span></span></span></span></span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord" style="margin-right:0.0556em;">∂</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.6644em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.0278em;">r</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right:0.1667em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size3">(</span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3414em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.0359em;">ω</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathnormal" style="margin-right:0.0359em;">y</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.6644em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.0359em;">ω</span></span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">)</span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:3.0277em;vertical-align:-1.2777em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size3">(</span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3414em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.0359em;">ω</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathnormal" style="margin-right:0.0359em;">y</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.6644em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.0359em;">ω</span></span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">)</span></span></span><span class="mspace" style="margin-right:0.1667em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size4">{</span></span><span class="mopen">(</span><span class="mop">lo<span style="margin-right:0.0139em;">g</span></span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.0359em;">y</span><span class="mclose"><span class="mclose">)</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7144em;"><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.0278em;">r</span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.6514em;"><span style="top:-1.8723em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span style="top:-3.05em;"><span class="pstrut" style="height:3.05em;"></span><span><span class="mop op-symbol large-op">∑</span></span></span><span style="top:-4.3em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.0278em;">r</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.2777em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.5183em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathnormal" style="margin-right:0.0359em;">ω</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7507em;"><span style="top:-2.989em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">i</span></span></span></span></span></span></span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mopen">(</span><span class="mord">−</span><span class="mord">1</span><span class="mclose"><span class="mclose">)</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8413em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.0785em;">I</span></span></span></span></span></span></span></span><span class="mord mathnormal" style="margin-right:0.0278em;">r</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="minner">⋯</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mopen">(</span><span class="mord mathnormal" style="margin-right:0.0278em;">r</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord mathnormal">i</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord">1</span><span class="mclose">)</span><span class="mopen">(</span><span class="mop">lo<span style="margin-right:0.0139em;">g</span></span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.0359em;">y</span><span class="mclose"><span class="mclose">)</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8247em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:0.0278em;">r</span><span class="mord mathnormal mtight">i</span></span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size4">}</span></span></span></span></span></span></span></p><!--]--></div><div class="demo-info"><p class="title">Block Mode</p><!----></div><div class="demo-ctrl"><button type="button" aria-label="Toggle Code"><span class="vpi-demo-code"></span></button></div><div class="demo-code"><!--[--><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:#393A34;--shiki-dark:#DBD7CAEE;">$$</span></span>
<span class="line"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">\frac {\partial^r} {\partial \omega^r} \left(\frac {y^{\omega}} {\omega}\right)</span></span>
<span class="line"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">= \left(\frac {y^{\omega}} {\omega}\right) \left</span><span style="--shiki-light:#A65E2B;--shiki-dark:#C99076;">\{</span><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">(\log y)^r + \sum_{i=1}^r \frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i} \right</span><span style="--shiki-light:#A65E2B;--shiki-dark:#C99076;">\}</span></span>
<span class="line"><span style="--shiki-light:#393A34;--shiki-dark:#DBD7CAEE;">$$</span></span></code></pre></div><!--]--></div></div><h2 id="related-tutorials" tabindex="-1"><a class="header-anchor" href="#related-tutorials"><span>Related Tutorials</span></a></h2><h3 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 Tutorial</a><a href="https://mdit-plugins.github.io/zh/tex.html#tex-tutorial" class="readmore" target="_blank" rel="noopener noreferrer">TeX Cheat Sheet</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 Supported Features</a><a href="https://katex.org/docs/support_table.html" class="readmore" target="_blank" rel="noopener noreferrer">KaTeX Support Table</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">Supported TeX / KaTeX Commands</a></p><h2 id="configuration-options" tabindex="-1"><a class="header-anchor" href="#configuration-options"><span>Configuration Options</span></a></h2><div class="vp-field-group"><div class="vp-field"><p class="field-meta"><span class="name">type</span><!----><!----><span class="type"><code>&#39;katex&#39; | &#39;mathjax&#39;</code></span></p><p class="default-value"><code>&#39;katex&#39;</code></p><div class="description"><!--[--><p>Package used to render <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>TeX</mtext></mrow><annotation encoding="application/x-tex">\TeX</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8988em;vertical-align:-0.2155em;"></span><span class="mord text"><span class="mord textrm">T</span><span class="mspace" style="margin-right:-0.1667em;"></span><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.4678em;"><span style="top:-2.7845em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord textrm">E</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.2155em;"><span></span></span></span></span><span class="mspace" style="margin-right:-0.125em;"></span><span class="mord textrm">X</span></span></span></span></span> content.</p><ul><li><code>&#39;katex&#39;</code>: Use <a href="https://katex.org/" target="_blank" rel="noopener noreferrer">KaTeX</a></li><li><code>&#39;mathjax&#39;</code>: Use <a href="https://www.mathjax.org/" target="_blank" rel="noopener noreferrer">MathJax</a></li></ul><!--]--></div></div><div class="vp-field optional"><p class="field-meta"><span class="name">delimiters</span><span class="optional">Optional</span><!----><span class="type"><code>&#39;brackets&#39; | &#39;dollars&#39; | &#39;all&#39;</code></span></p><p class="default-value"><code>&#39;dollars&#39;</code></p><div class="description"><!--[--><p>Enabled math delimiter syntax.</p><ul><li><code>&quot;brackets&quot;</code>: Use <code>\(...\)</code> for inline math and <code>\[...\]</code> for display mode math (LaTeX style)</li><li><code>&quot;dollars&quot;</code>: Use <code>$...$</code> for inline math and <code>$$...$$</code> for display mode math (common Markdown style)</li><li><code>&quot;all&quot;</code>: Enable both bracket and dollar sign syntax</li></ul><!--]--></div></div></div><h3 id="using-katex" tabindex="-1"><a class="header-anchor" href="#using-katex"><span>Using KaTeX</span></a></h3><p>When using KaTeX, any other options will be passed to KaTeX as <code>KatexOptions</code>. For all available options, refer to the <a href="https://katex.org/docs/options.html" target="_blank" rel="noopener noreferrer">KaTeX documentation</a>.</p><p>Additionally, 2 special options are supported:</p><div class="vp-field-group"><div class="vp-field optional"><p class="field-meta"><span class="name">copy</span><span class="optional">Optional</span><!----><span class="type"><code>boolean</code></span></p><p class="default-value"><code>false</code></p><div class="description"><!--[--><p>Whether to enable the copy extension.</p><!--]--></div></div><div class="vp-field optional"><p class="field-meta"><span class="name">mhchem</span><span class="optional">Optional</span><!----><span class="type"><code>boolean</code></span></p><p class="default-value"><code>false</code></p><div class="description"><!--[--><p>Whether to enable the mhchem extension.</p><!--]--></div></div></div><h3 id="using-mathjax" tabindex="-1"><a class="header-anchor" href="#using-mathjax"><span>Using MathJax</span></a></h3><p>When using MathJax, you can set:</p><div class="vp-field-group"><div class="vp-field optional"><p class="field-meta"><span class="name">tex</span><span class="optional">Optional</span><!----><span class="type"><code>object</code></span></p><!----><div class="description"><!--[--><p>Options passed to the TeX input parser.</p><!--]--></div></div><div class="vp-field optional"><p class="field-meta"><span class="name">output</span><span class="optional">Optional</span><!----><span class="type"><code>&#39;svg&#39; | &#39;chtml&#39;</code></span></p><p class="default-value"><code>&#39;svg&#39;</code></p><div class="description"><!--[--><p>Output format, either SVG or Common HTML.</p><!--]--></div></div><div class="vp-field optional"><p class="field-meta"><span class="name">chtml</span><span class="optional">Optional</span><!----><span class="type"><code>object</code></span></p><!----><div class="description"><!--[--><p>Options passed to the Common HTML output parser.</p><!--]--></div></div><div class="vp-field optional"><p class="field-meta"><span class="name">svg</span><span class="optional">Optional</span><!----><span class="type"><code>object</code></span></p><!----><div class="description"><!--[--><p>Options passed to the SVG output parser.</p><!--]--></div></div></div></div><!--[--><h2 id="doc-contributors" tabindex="-1"><a href="#doc-contributors" class="header-anchor"><span>Contributors</span></a></h2><div class="vp-contributors"><a href="https://github.com/pengzhanbo" target="_blank" rel="noreferrer" class="vp-contributor"><img src="https://avatars.githubusercontent.com/pengzhanbo?v=4" alt class="vp-contributor-avatar"><span class="vp-contributor-name">pengzhanbo</span></a></div><!--]--><!--[--><h2 id="doc-changelog" tabindex="-1"><a href="#doc-changelog" class="header-anchor"><span>Changelog</span></a></h2><div class="vp-changelog-wrapper"><div class="vp-changelog-header"><div class="vp-latest-updated"><span class="vp-changelog-icon"></span><span data-allow-mismatch>12/1/25, 3:30 AM</span></div><div><span class="vp-changelog-menu-icon"></span><span>View All Changelog</span></div></div><ul class="vp-changelog-list"><!--[--><li class="vp-changelog-item-commit"><a class="vp-changelog-hash" href="https://github.com/pengzhanbo/vuepress-theme-plume/commit/db8a46eb4cdc6c4bcb15f0e38a5aacfef565975a" target="_blank" rel="noreferrer"><code>db8a4</code></a><span class="vp-changelog-divider">-</span><span class="vp-changelog-message">docs: optimize and completion docs (<a href="https://github.com/pengzhanbo/vuepress-theme-plume/issues/766" target="_blank" rel="noopener noreferrer">#766</a>)</span><span class="vp-changelog-date" data-allow-mismatch>on <time datetime="2025-12-01T03:30:33.000Z">12/1/25</time></span></li><!--]--></ul></div><!--]--><!----><footer class="vp-doc-footer" data-v-c2acd915 data-v-393f5f4b><!--[--><!--]--><div class="edit-info" data-v-393f5f4b><div class="edit-link" data-v-393f5f4b><a class="vp-link link no-icon vp-external-link-icon edit-link-button" href="https://github.com/pengzhanbo/vuepress-theme-plume/edit/main/docs/en/guide/markdown/math.md" target="_blank" rel="noopener noreferrer" data-v-393f5f4b><!--[--><span class="vpi-square-pen edit-link-icon" aria-label="edit icon" data-v-393f5f4b></span> Edit this page<!--]--><!--[--><!--]--><!----></a></div><!----></div><!----><nav class="prev-next" data-v-393f5f4b><div class="pager" data-v-393f5f4b><a class="vp-link link pager-link prev" href="/en/guide/markdown/emoji/" data-v-393f5f4b><!--[--><span class="desc" data-v-393f5f4b>Previous page</span><span class="title" data-v-393f5f4b><span class="vp-icon vpi-mdi-emoji-outline" style="" aria-hidden data-provider="iconify" data-v-393f5f4b></span><span data-v-393f5f4b>emoji</span></span><!--]--><!--[--><!--]--><!----></a></div><div class="pager" data-v-393f5f4b><a class="vp-link link pager-link next" href="/en/guide/markdown/table/" data-v-393f5f4b><!--[--><span class="desc" data-v-393f5f4b>Next page</span><span class="title" data-v-393f5f4b><span class="vp-icon vpi-mdi-table-plus" style="" aria-hidden data-provider="iconify" data-v-393f5f4b></span><span data-v-393f5f4b>Table Enhancement</span></span><!--]--><!--[--><!--]--><!----></a></div></nav></footer></div><!--]--></main><div id="comment" class="giscus-wrapper input-top vp-comment" vp-comment style="display:block;" data-v-c2acd915><div style="display: flex;align-items: center;justify-content: center;height: 96px"><span style="--loading-icon: url(&quot;data:image/svg+xml;charset=utf8,%3Csvg preserveAspectRatio=%22xMidYMid%22 viewBox=%2225 25 50 50%22%3E%3CanimateTransform attributeName=%22transform%22 type=%22rotate%22 dur=%222s%22 keyTimes=%220;1%22 repeatCount=%22indefinite%22 values=%220;360%22%3E%3C/animateTransform%3E%3Ccircle cx=%2250%22 cy=%2250%22 r=%2220%22 fill=%22none%22 stroke=%22currentColor%22 stroke-width=%224%22 stroke-linecap=%22round%22%3E%3Canimate attributeName=%22stroke-dasharray%22 dur=%221.5s%22 keyTimes=%220;0.5;1%22 repeatCount=%22indefinite%22 values=%221,200;90,200;1,200%22%3E%3C/animate%3E%3Canimate attributeName=%22stroke-dashoffset%22 dur=%221.5s%22 keyTimes=%220;0.5;1%22 repeatCount=%22indefinite%22 values=%220;-35px;-125px%22%3E%3C/animate%3E%3C/circle%3E%3C/svg%3E&quot;);--icon-size: 48px;display: inline-block;width: var(--icon-size);height: var(--icon-size);background-color: currentcolor;-webkit-mask-image: var(--loading-icon);mask-image: var(--loading-icon)"></span></div></div><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><!--]--><button type="button" class="vp-back-to-top" aria-label="back to top" data-v-a5aadcf6 style="display:none;" data-v-7a6b3799><span class="percent" data-allow-mismatch data-v-7a6b3799>0%</span><span class="show icon vpi-back-to-top" data-v-7a6b3799></span><svg aria-hidden="true" data-v-7a6b3799><circle cx="50%" cy="50%" data-allow-mismatch style="stroke-dasharray:calc(0% - 12.566370614359172px) calc(314.1592653589793% - 12.566370614359172px);" data-v-7a6b3799></circle></svg></button><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewbox="0 0 24 24" aria-label="sign down" class="vp-sign-down" aria-hidden="true" data-v-a5aadcf6 style="display:none;" data-v-43069080><g fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="2.5" data-v-43069080><path d="m19 11l-7 6l-7-6" data-v-43069080></path><path d="m19 5l-7 6l-7-6" opacity="0.6" data-v-43069080></path></g></svg><footer class="vp-footer has-sidebar" vp-footer data-v-a5aadcf6 data-v-b83cc7e0><!--[--><div class="container" data-v-b83cc7e0><div class="message" data-v-b83cc7e0>Powered by <a target="_blank" href="https://v2.vuepress.vuejs.org/">VuePress</a> & <a target="_blank" href="https://theme-plume.vuejs.press">vuepress-theme-plume</a></div><div class="copyright" data-v-b83cc7e0>Copyright © 2021-present pengzhanbo</div></div><!--]--></footer><!--[--><!--]--><!--]--></div><!----><!--]--><!--[--><!--]--><!--]--></div><script type="module" src="/assets/app-B2DsuqVi.js" defer></script></body></html>
Reference in New Issue View Git Blame Copy Permalink