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2025-07-06
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‎404.html‎

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<head>
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<meta charset="UTF-8">
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<meta name="generator" content="Docusaurus v3.8.1">
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<title data-rh="true">MathLive</title><meta data-rh="true" property="og:title" content="MathLive"><meta data-rh="true" name="viewport" content="width=device-width,initial-scale=1"><meta data-rh="true" name="twitter:card" content="summary_large_image"><meta data-rh="true" property="og:image" content="https://mathlive.io/img/social-card.jpg"><meta data-rh="true" name="twitter:image" content="https://mathlive.io/img/social-card.jpg"><meta data-rh="true" property="og:url" content="https://mathlive.io/404.html/"><meta data-rh="true" property="og:locale" content="en"><meta data-rh="true" name="docusaurus_locale" content="en"><meta data-rh="true" name="docsearch:language" content="en"><meta data-rh="true" name="docusaurus_version" content="current"><meta data-rh="true" name="docusaurus_tag" content="docs-default-current"><meta data-rh="true" name="docsearch:version" content="current"><meta data-rh="true" name="docsearch:docusaurus_tag" content="docs-default-current"><link data-rh="true" rel="icon" href="/img/logo.svg"><link data-rh="true" rel="canonical" href="https://mathlive.io/404.html/"><link data-rh="true" rel="alternate" href="https://mathlive.io/404.html/" hreflang="en"><link data-rh="true" rel="alternate" href="https://mathlive.io/404.html/" hreflang="x-default"><link data-rh="true" rel="preconnect" href="https://Q23Y5RN3UQ-dsn.algolia.net" crossorigin="anonymous"><link rel="search" type="application/opensearchdescription+xml" title="MathLive" href="/opensearch.xml">
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<title data-rh="true">MathLive</title><meta data-rh="true" property="og:title" content="MathLive"><meta data-rh="true" name="viewport" content="width=device-width,initial-scale=1"><meta data-rh="true" name="twitter:card" content="summary_large_image"><meta data-rh="true" property="og:image" content="https://mathlive.io/img/social-card.jpg"><meta data-rh="true" name="twitter:image" content="https://mathlive.io/img/social-card.jpg"><meta data-rh="true" property="og:url" content="https://mathlive.io/404.html/"><meta data-rh="true" property="og:locale" content="en"><meta data-rh="true" name="docusaurus_locale" content="en"><meta data-rh="true" name="docsearch:language" content="en"><meta data-rh="true" name="docusaurus_version" content="current"><meta data-rh="true" name="docusaurus_tag" content="docs-default-current"><meta data-rh="true" name="docsearch:version" content="current"><meta data-rh="true" name="docsearch:docusaurus_tag" content="docs-default-current"><link data-rh="true" rel="icon" href="/img/logo.webp"><link data-rh="true" rel="canonical" href="https://mathlive.io/404.html/"><link data-rh="true" rel="alternate" href="https://mathlive.io/404.html/" hreflang="en"><link data-rh="true" rel="alternate" href="https://mathlive.io/404.html/" hreflang="x-default"><link data-rh="true" rel="preconnect" href="https://Q23Y5RN3UQ-dsn.algolia.net" crossorigin="anonymous"><link rel="search" type="application/opensearchdescription+xml" title="MathLive" href="/opensearch.xml">
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<link rel="stylesheet" src="https://cdnjs.cloudflare.com/ajax/libs/codemirror/5.65.11/codemirror.min.css">
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<script>!function(){var e,t;window.moduleMap||(window.moduleMap={}),window.moduleMap={...window.moduleMap,mathlive:"https://esm.run/mathlive","compute-engine":"https://esm.run/@cortex-js/compute-engine"},(e=["https://cdnjs.cloudflare.com/ajax/libs/codemirror/5.65.16/codemirror.min.js","https://cdnjs.cloudflare.com/ajax/libs/codemirror/5.65.16/mode/javascript/javascript.min.js","https://cdnjs.cloudflare.com/ajax/libs/codemirror/5.65.16/mode/xml/xml.min.js","https://unpkg.com/@cortex-js/compute-engine","https://cdn.jsdelivr.net/npm/mathlive","https://cdn.jsdelivr.net/npm/@ui-js/code-playground/dist/code-playground.min.js@module"]).forEach((o,n)=>{const m=o.endsWith("@module"),d="script"+function(e,t=0){let o=3735928559^t,n=1103547991^t;for(let t=0;t<e.length;t++){const m=e.charCodeAt(t);o=Math.imul(o^m,2654435761),n=Math.imul(n^m,1597334677)}return o=Math.imul(o^o>>>16,2246822507),o^=Math.imul(n^n>>>13,3266489909),n=Math.imul(n^n>>>16,2246822507),n^=Math.imul(o^o>>>13,3266489909),4294967296*(2097151&n)+(o>>>0)}(o=o.replace("@module","")).toString(36);if(document.getElementById(d))return;const i=document.createElement("script");m&&(i.type="module"),i.id=d,i.src=o,i.async=!1,t&&n===e.length-1&&(i.onload=t),document.head.appendChild(i)})}()</script>
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<link rel="preconnect" href="https://rsms.me/">
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<link rel="stylesheet" href="https://rsms.me/inter/inter.css" media="print" onload="this.media=&#39;all&#39;"><link rel="stylesheet" href="/assets/css/styles.ae3be8d9.css">
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<script src="/assets/js/runtime~main.5f155480.js" defer="defer"></script>
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<script src="/assets/js/main.417d8555.js" defer="defer"></script>
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<link rel="stylesheet" href="https://rsms.me/inter/inter.css" media="print" onload="this.media=&#39;all&#39;"><link rel="stylesheet" href="/assets/css/styles.167eb63e.css">
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<script src="/assets/js/runtime~main.ab61b09c.js" defer="defer"></script>
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<script src="/assets/js/main.7c760711.js" defer="defer"></script>
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</head>
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<body class="navigation-with-keyboard">
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<svg xmlns="http://www.w3.org/2000/svg" style="display: none;"><defs>
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<symbol id="theme-svg-external-link" viewBox="0 0 24 24"><path fill="currentColor" d="M21 13v10h-21v-19h12v2h-10v15h17v-8h2zm3-12h-10.988l4.035 4-6.977 7.07 2.828 2.828 6.977-7.07 4.125 4.172v-11z"/></symbol>
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</defs></svg>
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<script>!function(){var t=function(){try{return new URLSearchParams(window.location.search).get("docusaurus-theme")}catch(t){}}()||function(){try{return window.localStorage.getItem("theme")}catch(t){}}();document.documentElement.setAttribute("data-theme",t||(window.matchMedia("(prefers-color-scheme: dark)").matches?"dark":"light")),document.documentElement.setAttribute("data-theme-choice",t||"system")}(),function(){try{const c=new URLSearchParams(window.location.search).entries();for(var[t,e]of c)if(t.startsWith("docusaurus-data-")){var a=t.replace("docusaurus-data-","data-");document.documentElement.setAttribute(a,e)}}catch(t){}}()</script><div id="__docusaurus"><link rel="preload" as="image" href="/img/logo.svg"><div role="region" aria-label="Skip to main content"><a class="skipToContent_fXgn" href="#__docusaurus_skipToContent_fallback">Skip to main content</a></div><nav aria-label="Main" class="theme-layout-navbar navbar navbar--fixed-top"><div class="navbar__inner"><div class="theme-layout-navbar-left navbar__items"><button aria-label="Toggle navigation bar" aria-expanded="false" class="navbar__toggle clean-btn" type="button"><svg width="30" height="30" viewBox="0 0 30 30" aria-hidden="true"><path stroke="currentColor" stroke-linecap="round" stroke-miterlimit="10" stroke-width="2" d="M4 7h22M4 15h22M4 23h22"></path></svg></button><a class="navbar__brand" href="/"><div class="navbar__logo"><img src="/img/logo.svg" alt="MathLive Logo" class="themedComponent_mlkZ themedComponent--light_NVdE" height="42" width="42"><img src="/img/logo.svg" alt="MathLive Logo" class="themedComponent_mlkZ themedComponent--dark_xIcU" height="42" width="42"></div><b class="navbar__title text--truncate">MathLive</b></a><a class="navbar__item navbar__link" href="/mathfield/">Mathfield</a><a class="navbar__item navbar__link" href="/compute-engine/">Compute Engine</a></div><div class="theme-layout-navbar-right navbar__items navbar__items--right"><a href="https://github.com/cortex-js" target="_blank" rel="noopener noreferrer" class="navbar__item navbar__link" icon="github">GitHub<svg width="13.5" height="13.5" aria-hidden="true" class="iconExternalLink_nPIU"><use href="#theme-svg-external-link"></use></svg></a><div class="navbarSearchContainer_Bca1"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search (Command+K)"><span class="DocSearch-Button-Container"><svg width="20" height="20" class="DocSearch-Search-Icon" viewBox="0 0 20 20" aria-hidden="true"><path d="M14.386 14.386l4.0877 4.0877-4.0877-4.0877c-2.9418 2.9419-7.7115 2.9419-10.6533 0-2.9419-2.9418-2.9419-7.7115 0-10.6533 2.9418-2.9419 7.7115-2.9419 10.6533 0 2.9419 2.9418 2.9419 7.7115 0 10.6533z" stroke="currentColor" fill="none" fill-rule="evenodd" stroke-linecap="round" stroke-linejoin="round"></path></svg><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"></span></button></div></div></div><div role="presentation" class="navbar-sidebar__backdrop"></div></nav><div id="__docusaurus_skipToContent_fallback" class="theme-layout-main main-wrapper mainWrapper_z2l0"><main class="container margin-vert--xl"><style>
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<script>!function(){var t=function(){try{return new URLSearchParams(window.location.search).get("docusaurus-theme")}catch(t){}}()||function(){try{return window.localStorage.getItem("theme")}catch(t){}}();document.documentElement.setAttribute("data-theme",t||(window.matchMedia("(prefers-color-scheme: dark)").matches?"dark":"light")),document.documentElement.setAttribute("data-theme-choice",t||"system")}(),function(){try{const c=new URLSearchParams(window.location.search).entries();for(var[t,e]of c)if(t.startsWith("docusaurus-data-")){var a=t.replace("docusaurus-data-","data-");document.documentElement.setAttribute(a,e)}}catch(t){}}()</script><div id="__docusaurus"><link rel="preload" as="image" href="/img/logo.webp"><div role="region" aria-label="Skip to main content"><a class="skipToContent_fXgn" href="#__docusaurus_skipToContent_fallback">Skip to main content</a></div><nav aria-label="Main" class="theme-layout-navbar navbar navbar--fixed-top"><div class="navbar__inner"><div class="theme-layout-navbar-left navbar__items"><button aria-label="Toggle navigation bar" aria-expanded="false" class="navbar__toggle clean-btn" type="button"><svg width="30" height="30" viewBox="0 0 30 30" aria-hidden="true"><path stroke="currentColor" stroke-linecap="round" stroke-miterlimit="10" stroke-width="2" d="M4 7h22M4 15h22M4 23h22"></path></svg></button><a class="navbar__brand" href="/"><div class="navbar__logo"><img src="/img/logo.webp" alt="MathLive Logo" class="themedComponent_mlkZ themedComponent--light_NVdE" height="42" width="42"><img src="/img/logo.webp" alt="MathLive Logo" class="themedComponent_mlkZ themedComponent--dark_xIcU" height="42" width="42"></div><b class="navbar__title text--truncate">MathLive</b></a><a class="navbar__item navbar__link" href="/mathfield/">Mathfield</a><a class="navbar__item navbar__link" href="/compute-engine/">Compute Engine</a></div><div class="theme-layout-navbar-right navbar__items navbar__items--right"><a href="https://github.com/cortex-js" target="_blank" rel="noopener noreferrer" class="navbar__item navbar__link" icon="github">GitHub<svg width="13.5" height="13.5" aria-hidden="true" class="iconExternalLink_nPIU"><use href="#theme-svg-external-link"></use></svg></a><div class="navbarSearchContainer_Bca1"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search (Command+K)"><span class="DocSearch-Button-Container"><svg width="20" height="20" class="DocSearch-Search-Icon" viewBox="0 0 20 20" aria-hidden="true"><path d="M14.386 14.386l4.0877 4.0877-4.0877-4.0877c-2.9418 2.9419-7.7115 2.9419-10.6533 0-2.9419-2.9418-2.9419-7.7115 0-10.6533 2.9418-2.9419 7.7115-2.9419 10.6533 0 2.9419 2.9418 2.9419 7.7115 0 10.6533z" stroke="currentColor" fill="none" fill-rule="evenodd" stroke-linecap="round" stroke-linejoin="round"></path></svg><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"></span></button></div></div></div><div role="presentation" class="navbar-sidebar__backdrop"></div></nav><div id="__docusaurus_skipToContent_fallback" class="theme-layout-main main-wrapper mainWrapper_z2l0"><main class="container margin-vert--xl"><style>
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html {
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font-family: system-ui,-apple-system,"Segoe UI",Roboto,Oxygen-Sans,Ubuntu,Cantarell,"Helvetica Neue",sans-serif;
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font-display: swap;

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