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<script type="application/ld+json">{"@context":"https://schema.org","@type":"Article","headline":"@mdit/plugin-tex","image":[""],"dateModified":"2026-03-18T05:34:59.000Z","author":[]}</script><meta property="og:url" content="https://mdit-plugins.github.io/tex.html"><meta property="og:site_name" content="Markdown It Plugins"><meta property="og:title" content="@mdit/plugin-tex"><meta property="og:description" content="Plugins for grammar support. Note This plugin is facing developers. If you are looking for an out of box solution, you should try and , which are based on this plugin. Usage Thi..."><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="2026-03-18T05:34:59.000Z"><meta property="article:modified_time" content="2026-03-18T05:34:59.000Z"><link rel="alternate" hreflang="zh-cn" href="https://mdit-plugins.github.io/zh/tex.html"><title>@mdit/plugin-tex | Markdown It Plugins</title><meta name="description" content="Plugins for grammar support. Note This plugin is facing developers. If you are looking for an out of box solution, you should try and , which are based on this plugin. Usage Thi...">
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fa-diagram-project fa-fw" sizing="both"></i><!--]-->@mdit/plugin-plantuml<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/ruby.html" aria-label="@mdit/plugin-ruby"><!--[--><i class="vp-icon fas fa-paperclip fa-fw" sizing="both"></i><!--]-->@mdit/plugin-ruby<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/snippet.html" aria-label="@mdit/plugin-snippet"><!--[--><i class="vp-icon fas fa-file-lines fa-fw" sizing="both"></i><!--]-->@mdit/plugin-snippet<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/spoiler.html" aria-label="@mdit/plugin-spoiler"><!--[--><i class="vp-icon fas fa-eraser fa-fw" sizing="both"></i><!--]-->@mdit/plugin-spoiler<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/stylize.html" aria-label="@mdit/plugin-stylize"><!--[--><i class="vp-icon fas fa-wand-magic-sparkles fa-fw" sizing="both"></i><!--]-->@mdit/plugin-stylize<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/sub.html" aria-label="@mdit/plugin-sub"><!--[--><i class="vp-icon fas fa-subscript fa-fw" sizing="both"></i><!--]-->@mdit/plugin-sub<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/sup.html" aria-label="@mdit/plugin-sup"><!--[--><i class="vp-icon fas fa-superscript fa-fw" sizing="both"></i><!--]-->@mdit/plugin-sup<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/tab.html" aria-label="@mdit/plugin-tab"><!--[--><i class="vp-icon fas fa-table-columns fa-fw" sizing="both"></i><!--]-->@mdit/plugin-tab<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/tasklist.html" aria-label="@mdit/plugin-tasklist"><!--[--><i class="vp-icon fas fa-square-check fa-fw" sizing="both"></i><!--]-->@mdit/plugin-tasklist<!----></a></li><li><a class="route-link route-link-active auto-link vp-sidebar-link active" href="/tex.html" aria-label="@mdit/plugin-tex"><!--[--><i class="vp-icon fas fa-square-root-variable fa-fw" sizing="both"></i><!--]-->@mdit/plugin-tex<!----></a></li><li><a class="route-link auto-link vp-sidebar-link" href="/uml.html" aria-label="@mdit/plugin-uml"><!--[--><i class="vp-icon fas fa-file-lines fa-fw" sizing="both"></i><!--]-->@mdit/plugin-uml<!----></a></li></ul><!----></aside><!--[--><main id="main-content" class="vp-page"><!--[--><!----><!----><nav class="vp-breadcrumb disable"></nav><div class="vp-page-title"><h1><i class="vp-icon fas fa-square-root-variable" sizing="height"></i>@mdit/plugin-tex</h1><!----><hr></div><!----><div class="" vp-content><!----><div id="markdown-content"><p>Plugins for <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.488ex;" xmlns="http://www.w3.org/2000/svg" width="4.674ex" height="2.033ex" role="img" focusable="false" viewBox="0 -683 2066 898.5" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-10-NCM-I-1D447" d="M344 631C344 628 343 621 340 611L208 83C204 68 200 59 197 55C188 44 154 39 94 39C63 39 49 42 49 16C49 5 56 0 69 0C120 0 192 4 235 3L317 2C331 2 386 0 403 0C420 0 428 8 428 24C428 34 416 39 391 39C339 39 309 41 300 46C297 48 295 52 295 58L430 603C433 617 436 626 439 629C443 635 467 638 511 638C566 638 604 634 623 625C642 616 652 595 652 561C652 543 649 517 644 483C642 475 641 469 641 464C641 453 646 447 657 447C666 447 672 456 675 473L702 645C703 650 704 656 704 662C704 672 694 677 673 677L125 677C99 677 97 674 89 655L30 481C27 472 25 466 24 462C24 452 29 447 40 447C48 447 55 455 60 470C85 543 110 588 133 607C159 628 209 638 282 638L321 638C332 638 344 639 344 631Z"></path><path id="MJX-10-NCM-I-1D438" d="M199 656C199 646 210 641 231 641C271 641 291 637 291 628C291 625 289 618 286 605L156 82C151 60 141 47 126 42C119 40 101 39 70 39C48 39 38 37 38 16C38 5 49 0 70 0L583 0C607 0 609 2 617 19L657 109C684 171 703 217 714 248C712 257 709 263 698 263C691 263 685 258 681 249C656 190 632 145 608 113C568 59 509 39 415 39L270 39C260 39 253 39 249 40C243 40 240 42 240 45C240 47 242 54 245 67L311 334L406 334C453 334 478 328 483 315C485 310 486 303 486 293C486 280 484 264 479 245C477 240 476 236 476 233C476 223 482 218 493 218C502 218 508 226 512 241L568 473C568 483 563 488 552 488C544 488 538 481 535 467C525 428 512 403 495 391C478 379 450 373 409 373L321 373L379 606C387 640 387 641 429 641L568 641C619 641 654 636 673 626C701 611 715 581 715 536C715 519 714 501 711 484C711 482 711 479 710 475L710 466C710 455 715 450 725 450C735 450 741 459 743 478L763 649C766 677 759 680 732 680L233 680C210 680 199 679 199 656Z"></path><path id="MJX-10-NCM-I-1D44B" d="M834 683C817 683 758 680 741 680C721 680 651 683 631 683C616 683 608 675 608 659C608 650 613 645 624 644C648 641 660 633 660 618C660 609 654 598 642 585L486 417C457 485 429 552 400 620C401 622 402 624 405 626C414 636 431 642 455 644C471 646 479 654 479 667C479 678 473 683 460 683C436 683 359 680 335 680C314 680 245 683 224 683C209 683 202 675 202 659C202 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transform="translate(564,0)"><g transform="translate(0,-215.5)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi" data-latex="E"><use data-c="1D438" xlink:href="#MJX-10-NCM-I-1D438"></use></g></g></g></g><g data-mml-node="mspace" data-latex="\kern-.115em" transform="translate(1330,0)"></g><g data-mml-node="mi" data-latex="X" transform="translate(1215,0)"><use data-c="1D44B" xlink:href="#MJX-10-NCM-I-1D44B"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\TeX"><mi data-latex="T">T</mi><mspace width="-.14em" linebreak="nobreak" data-latex="\kern-.14em"></mspace><mpadded height="-.5ex" depth="+.5ex" voffset="-.5ex" data-latex="{}"><mrow data-mjx-texclass="ORD"><mi data-latex="E">E</mi></mrow></mpadded><mspace width="-.115em" linebreak="nobreak" data-latex="\kern-.115em"></mspace><mi data-latex="X">X</mi></math></mjx-assistive-mml></mjx-container> grammar support.</p><div class="hint-container note"><p class="hint-container-title">Note</p><p>This plugin is facing developers.</p><p>If you are looking for an out of box solution, you should try <a class="route-link" href="/katex.html">@mdit/plugin-katex</a> and <a class="route-link" href="/mathjax.html">@mdit/plugin-mathjax</a>, which are based on this plugin.</p></div><!-- more --><h2 id="usage" tabindex="-1"><a class="header-anchor" href="#usage"><span>Usage</span></a></h2><div class="language-ts line-numbers-mode" data-highlighter="shiki" data-ext="ts" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-ts"><span class="line"><span style="--shiki-light:#A626A4;--shiki-dark:#C678DD;">import</span><span style="--shiki-light:#E45649;--shiki-dark:#E06C75;"> MarkdownIt</span><span style="--shiki-light:#A626A4;--shiki-dark:#C678DD;"> from</span><span style="--shiki-light:#50A14F;--shiki-dark:#98C379;"> "markdown-it"</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">;</span></span>
<span class="line"><span style="--shiki-light:#A626A4;--shiki-dark:#C678DD;">import</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> { </span><span style="--shiki-light:#E45649;--shiki-dark:#E06C75;">figure</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> } </span><span style="--shiki-light:#A626A4;--shiki-dark:#C678DD;">from</span><span style="--shiki-light:#50A14F;--shiki-dark:#98C379;"> "@mdit/plugin-figure"</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">;</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#A626A4;--shiki-dark:#C678DD;">const</span><span style="--shiki-light:#986801;--shiki-dark:#E5C07B;"> mdIt</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;"> =</span><span style="--shiki-light:#4078F2;--shiki-dark:#61AFEF;"> MarkdownIt</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">().</span><span style="--shiki-light:#4078F2;--shiki-dark:#61AFEF;">use</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">(</span><span style="--shiki-light:#383A42;--shiki-dark:#E06C75;">figure</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">, {</span></span>
<span class="line"><span style="--shiki-light:#4078F2;--shiki-dark:#61AFEF;"> render</span><span style="--shiki-light:#0184BC;--shiki-dark:#ABB2BF;">:</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> (</span><span style="--shiki-light:#383A42;--shiki-light-font-style:inherit;--shiki-dark:#E06C75;--shiki-dark-font-style:italic;">content</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">, </span><span style="--shiki-light:#383A42;--shiki-light-font-style:inherit;--shiki-dark:#E06C75;--shiki-dark-font-style:italic;">displayMode</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">) </span><span style="--shiki-light:#A626A4;--shiki-dark:#C678DD;">=></span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> {</span></span>
<span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> // render tex here and return</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> },</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">});</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#E5C07B;">mdIt</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">.</span><span style="--shiki-light:#4078F2;--shiki-dark:#61AFEF;">render</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">(</span><span style="--shiki-light:#50A14F;--shiki-dark:#98C379;">"$E=mc^2$"</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">);</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><p>This plugin registers markdown rules for <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg 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data-latex="T">T</mi><mspace width="-.14em" linebreak="nobreak" data-latex="\kern-.14em"></mspace><mpadded height="-.5ex" depth="+.5ex" voffset="-.5ex" data-latex="{}"><mrow data-mjx-texclass="ORD"><mi data-latex="E">E</mi></mrow></mpadded><mspace width="-.115em" linebreak="nobreak" data-latex="\kern-.115em"></mspace><mi data-latex="X">X</mi></math></mjx-assistive-mml></mjx-container> tokens with the result of <code>render</code> function.</p><h2 id="syntax" tabindex="-1"><a class="header-anchor" href="#syntax"><span>Syntax</span></a></h2><p>The plugin supports different delimiter syntaxes based on the <code>delimiters</code> option:</p><h3 id="default-syntax-dollars" tabindex="-1"><a class="header-anchor" href="#default-syntax-dollars"><span>Default Syntax (dollars)</span></a></h3><ul><li><p>Inline mode: <code>$xxx$</code></p></li><li><p>Display mode:</p><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$xxx$$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">xxx</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span></code></pre></div></li></ul><h3 id="latex-style-brackets" tabindex="-1"><a class="header-anchor" href="#latex-style-brackets"><span>LaTeX Style (brackets)</span></a></h3><ul><li><p>Inline mode: <code>\(xxx\)</code></p></li><li><p>Display mode:</p><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\[</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">xxx</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\]</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\[</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">xxx</span></span>
<span class="line"><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\]</span></span></code></pre></div></li></ul><h3 id="mixed-syntax-all" tabindex="-1"><a class="header-anchor" href="#mixed-syntax-all"><span>Mixed Syntax (all)</span></a></h3><p>When <code>delimiters</code> is set to <code>"all"</code>, both dollar and bracket syntaxes are supported.</p><div class="hint-container tip"><p class="hint-container-title">Escaping</p><p>Escaping can be done by using <code>\</code> before the <code>$</code> character, or adding space both before and after the <code>$</code> character:</p><ul><li>The <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 529 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a=1"><g data-mml-node="mi" data-latex="a"><use data-c="1D44E" xlink:href="#MJX-13-NCM-I-1D44E"></use></g></g></g><defs><path id="MJX-13-NCM-I-1D44E" d="M498 144C498 153 493 158 482 158C474 158 468 151 465 137C445 58 421 18 394 18C377 18 368 32 368 60C368 73 372 97 381 132L438 357C443 376 445 387 445 392C445 412 434 422 412 422C391 422 377 410 370 387C349 424 319 442 281 442C216 442 159 409 109 343C63 281 40 217 40 150C40 63 91-11 175-11C218-11 260 12 300 58C311 20 345-11 392-11C461-11 482 70 498 144M341 374C350 353 355 339 355 330C355 326 354 321 353 314L304 122C301 111 294 99 285 87C248 41 212 18 177 18C138 18 118 48 118 107C118 131 124 167 136 215C157 300 187 357 224 388C244 405 263 413 282 413C309 413 329 400 341 374Z"></path><path id="MJX-13-NCM-N-3D" d="M698 367L80 367C64 367 56 359 56 344C56 329 64 321 80 321L698 321C714 321 722 329 722 344C722 356 711 367 698 367M698 179L80 179C64 179 56 171 56 156C56 141 64 133 80 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unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="a=1"><mi data-latex="a">a</mi><mo data-latex="=">=</mo><mn data-latex="1">1</mn></math></mjx-assistive-mml></mjx-container> is a TeX equation, while $ a=1 $ and $a=1$ is not.</li></ul><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#E5C07B;">-</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> The $a=1$ is a TeX equation, while $ a=1 $ and \$a=1$ is not.</span></span></code></pre></div></div><h2 id="options" tabindex="-1"><a class="header-anchor" href="#options"><span>Options</span></a></h2><!-- #region options --><h3 id="delimiters" tabindex="-1"><a class="header-anchor" href="#delimiters"><span>delimiters</span></a></h3><ul><li>Type: <code>"brackets" | "dollars" | "all"</code></li><li>Default: <code>"dollars"</code></li><li>Details: Math delimiter syntax to enable. <ul><li><code>"brackets"</code>: Use <code>\(...\)</code> for inline math and <code>\[...\]</code> for display math (LaTeX style).</li><li><code>"dollars"</code>: Use <code>$...$</code> for inline math and <code>$$...$$</code> for display math (common Markdown style).</li><li><code>"all"</code>: Enable both bracket and dollar syntaxes.</li></ul></li></ul><h3 id="mathfence" tabindex="-1"><a class="header-anchor" href="#mathfence"><span>mathFence</span></a></h3><ul><li>Type: <code>boolean</code></li><li>Default: <code>false</code></li><li>Details: Whether parsed fence block with math language to display mode math.</li></ul><h3 id="allowinlinewithspace" tabindex="-1"><a class="header-anchor" href="#allowinlinewithspace"><span>allowInlineWithSpace</span></a></h3><ul><li>Type: <code>boolean</code></li><li>Default: <code>false</code></li><li>Details: Whether to allow inline math with spaces on ends. NOT recommended to set this to true, because it will likely break the default usage of <code>$</code>.</li></ul><h3 id="render" tabindex="-1"><a class="header-anchor" href="#render"><span>render</span></a></h3><ul><li>Type: <code>TexRender</code></li></ul><div class="language-ts" data-highlighter="shiki" data-ext="ts" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-ts"><span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;">/**</span></span>
<span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> * Tex Render function</span></span>
<span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> *</span></span>
<span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> * </span><span style="--shiki-light:#383A42;--shiki-light-font-style:italic;--shiki-dark:#C678DD;--shiki-dark-font-style:italic;">@</span><span style="--shiki-light:#A626A4;--shiki-light-font-style:italic;--shiki-dark:#C678DD;--shiki-dark-font-style:italic;">param</span><span style="--shiki-light:#E45649;--shiki-light-font-style:italic;--shiki-dark:#E06C75;--shiki-dark-font-style:italic;"> content</span><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> Text content</span></span>
<span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> * </span><span style="--shiki-light:#383A42;--shiki-light-font-style:italic;--shiki-dark:#C678DD;--shiki-dark-font-style:italic;">@</span><span style="--shiki-light:#A626A4;--shiki-light-font-style:italic;--shiki-dark:#C678DD;--shiki-dark-font-style:italic;">param</span><span style="--shiki-light:#E45649;--shiki-light-font-style:italic;--shiki-dark:#E06C75;--shiki-dark-font-style:italic;"> displayMode</span><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> whether is display mode</span></span>
<span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> * </span><span style="--shiki-light:#383A42;--shiki-light-font-style:italic;--shiki-dark:#C678DD;--shiki-dark-font-style:italic;">@</span><span style="--shiki-light:#A626A4;--shiki-light-font-style:italic;--shiki-dark:#C678DD;--shiki-dark-font-style:italic;">param</span><span style="--shiki-light:#E45649;--shiki-light-font-style:italic;--shiki-dark:#E06C75;--shiki-dark-font-style:italic;"> env</span><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> MarkdownIt environment</span></span>
<span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> * </span><span style="--shiki-light:#383A42;--shiki-light-font-style:italic;--shiki-dark:#C678DD;--shiki-dark-font-style:italic;">@</span><span style="--shiki-light:#A626A4;--shiki-light-font-style:italic;--shiki-dark:#C678DD;--shiki-dark-font-style:italic;">returns</span><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> render result</span></span>
<span class="line"><span style="--shiki-light:#A0A1A7;--shiki-light-font-style:italic;--shiki-dark:#7F848E;--shiki-dark-font-style:italic;"> */</span></span>
<span class="line"><span style="--shiki-light:#A626A4;--shiki-dark:#C678DD;">type</span><span style="--shiki-light:#C18401;--shiki-dark:#E5C07B;"> TexRender</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;"> =</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> (</span><span style="--shiki-light:#383A42;--shiki-light-font-style:inherit;--shiki-dark:#E06C75;--shiki-dark-font-style:italic;">content</span><span style="--shiki-light:#0184BC;--shiki-dark:#ABB2BF;">:</span><span style="--shiki-light:#0184BC;--shiki-dark:#E5C07B;"> string</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">, </span><span style="--shiki-light:#383A42;--shiki-light-font-style:inherit;--shiki-dark:#E06C75;--shiki-dark-font-style:italic;">displayMode</span><span style="--shiki-light:#0184BC;--shiki-dark:#ABB2BF;">:</span><span style="--shiki-light:#0184BC;--shiki-dark:#E5C07B;"> boolean</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">, </span><span style="--shiki-light:#383A42;--shiki-light-font-style:inherit;--shiki-dark:#E06C75;--shiki-dark-font-style:italic;">env</span><span style="--shiki-light:#0184BC;--shiki-dark:#ABB2BF;">:</span><span style="--shiki-light:#C18401;--shiki-dark:#E5C07B;"> MarkdownItEnv</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">) </span><span style="--shiki-light:#A626A4;--shiki-dark:#C678DD;">=></span><span style="--shiki-light:#0184BC;--shiki-dark:#E5C07B;"> string</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">;</span></span></code></pre></div><ul><li>Required: Yes</li><li>Details: Tex Render function. Takes content, displayMode, and environment, returns rendered string.</li></ul><!-- #endregion options --><h2 id="demo" tabindex="-1"><a class="header-anchor" href="#demo"><span>Demo</span></a></h2><p>Euler’s identity <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="2.706ex" height="2.444ex" role="img" focusable="false" viewBox="0 -830.4 1196 1080.4" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="e^{i\pi}+1=0"><g data-mml-node="msup" data-latex="e^{i\pi}"><g data-mml-node="mi" data-latex="e"><use data-c="1D452" xlink:href="#MJX-14-NCM-I-1D452"></use></g><g data-mml-node="TeXAtom" transform="translate(499,363) scale(0.707)" data-latex="{i\pi}" data-mjx-texclass="ORD"><g data-mml-node="mi" data-latex="i"><use data-c="1D456" 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transform="translate(2569,0)"><use data-c="2061" xlink:href="#MJX-16-NCM-N-2061"></use></g><g data-mml-node="mi" data-latex="y" transform="translate(2735.7,0)"><use data-c="1D466" xlink:href="#MJX-16-NCM-I-1D466"></use></g><g data-mml-node="msup" data-latex=")^r" transform="translate(3225.7,0)"><g data-mml-node="mo" data-latex=")"><use data-c="29" xlink:href="#MJX-16-NCM-N-29"></use></g><g data-mml-node="mi" transform="translate(422,413) scale(0.707)" data-latex="r"><use data-c="1D45F" xlink:href="#MJX-16-NCM-I-1D45F"></use></g></g><g data-mml-node="mo" data-latex="+" transform="translate(4238.8,0)"><use data-c="2B" xlink:href="#MJX-16-NCM-N-2B"></use></g><g data-mml-node="munderover" data-latex="\sum_{i=1}^r" transform="translate(5239,0)"><g data-mml-node="mo" data-latex="\sum"><use data-c="2211" xlink:href="#MJX-16-NCM-LO-2211"></use></g><g data-mml-node="TeXAtom" transform="translate(148.2,-1087.9) scale(0.707)" data-latex="{i=1}" data-mjx-texclass="ORD"><g data-mml-node="mi" data-latex="i"><use data-c="1D456" xlink:href="#MJX-16-NCM-I-1D456"></use></g><g data-mml-node="mo" data-latex="=" transform="translate(345,0)"><use data-c="3D" xlink:href="#MJX-16-NCM-N-3D"></use></g><g data-mml-node="mn" data-latex="1" transform="translate(1123,0)"><use data-c="31" xlink:href="#MJX-16-NCM-N-31"></use></g></g><g data-mml-node="mi" transform="translate(562.5,1150) scale(0.707)" data-latex="r"><use data-c="1D45F" xlink:href="#MJX-16-NCM-I-1D45F"></use></g></g><g data-mml-node="mfrac" data-latex="\frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i}" transform="translate(6849.7,0)"><g data-mml-node="mrow" data-latex="(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}" transform="translate(220,708)"><g data-mml-node="mo" data-latex="("><use data-c="28" xlink:href="#MJX-16-NCM-N-28"></use></g><g data-mml-node="mo" data-latex="-" transform="translate(389,0)"><use data-c="2212" xlink:href="#MJX-16-NCM-N-2212"></use></g><g data-mml-node="mn" data-latex="1" transform="translate(1167,0)"><use data-c="31" xlink:href="#MJX-16-NCM-N-31"></use></g><g data-mml-node="msup" data-latex=")^I" transform="translate(1667,0)"><g data-mml-node="mo" data-latex=")"><use data-c="29" xlink:href="#MJX-16-NCM-N-29"></use></g><g data-mml-node="mi" transform="translate(422,363) scale(0.707)" data-latex="I"><use data-c="1D43C" xlink:href="#MJX-16-NCM-I-1D43C"></use></g></g><g data-mml-node="mi" data-latex="r" transform="translate(2490.4,0)"><use data-c="1D45F" xlink:href="#MJX-16-NCM-I-1D45F"></use></g><g data-mml-node="mo" data-latex="\cdots" transform="translate(3108.1,0)"><use data-c="22EF" xlink:href="#MJX-16-NCM-N-22EF"></use></g><g data-mml-node="mo" data-latex="(" transform="translate(4050.8,0)"><use data-c="28" xlink:href="#MJX-16-NCM-N-28"></use></g><g data-mml-node="mi" data-latex="r" transform="translate(4439.8,0)"><use data-c="1D45F" xlink:href="#MJX-16-NCM-I-1D45F"></use></g><g data-mml-node="mo" data-latex="-" transform="translate(5113,0)"><use data-c="2212" xlink:href="#MJX-16-NCM-N-2212"></use></g><g data-mml-node="mi" data-latex="i" transform="translate(6113.2,0)"><use data-c="1D456" xlink:href="#MJX-16-NCM-I-1D456"></use></g><g data-mml-node="mo" data-latex="+" transform="translate(6680.4,0)"><use data-c="2B" xlink:href="#MJX-16-NCM-N-2B"></use></g><g data-mml-node="mn" data-latex="1" transform="translate(7680.7,0)"><use data-c="31" xlink:href="#MJX-16-NCM-N-31"></use></g><g data-mml-node="mo" data-latex=")" transform="translate(8180.7,0)"><use data-c="29" xlink:href="#MJX-16-NCM-N-29"></use></g><g data-mml-node="mo" data-latex="(" transform="translate(8569.7,0)"><use data-c="28" xlink:href="#MJX-16-NCM-N-28"></use></g><g data-mml-node="mi" data-latex="\log" transform="translate(8958.7,0)"><use data-c="6C" xlink:href="#MJX-16-NCM-N-6C"></use><use data-c="6F" xlink:href="#MJX-16-NCM-N-6F" transform="translate(278,0)"></use><use data-c="67" xlink:href="#MJX-16-NCM-N-67" transform="translate(778,0)"></use></g><g data-mml-node="mo" transform="translate(10236.7,0)"><use data-c="2061" xlink:href="#MJX-16-NCM-N-2061"></use></g><g data-mml-node="mi" data-latex="y" transform="translate(10403.3,0)"><use data-c="1D466" xlink:href="#MJX-16-NCM-I-1D466"></use></g><g data-mml-node="msup" data-latex=")^{r i}" transform="translate(10893.3,0)"><g data-mml-node="mo" data-latex=")"><use data-c="29" xlink:href="#MJX-16-NCM-N-29"></use></g><g data-mml-node="TeXAtom" transform="translate(422,363) scale(0.707)" data-latex="{r i}" data-mjx-texclass="ORD"><g data-mml-node="mi" data-latex="r"><use data-c="1D45F" xlink:href="#MJX-16-NCM-I-1D45F"></use></g><g data-mml-node="mi" data-latex="i" transform="translate(451,0)"><use data-c="1D456" xlink:href="#MJX-16-NCM-I-1D456"></use></g></g></g></g><g data-mml-node="msup" data-latex="\omega^i" transform="translate(5709.6,-716.4)"><g data-mml-node="mi" data-latex="\omega"><use data-c="1D714" xlink:href="#MJX-16-NCM-I-1D714"></use></g><g data-mml-node="mi" transform="translate(655,289) scale(0.707)" data-latex="i"><use data-c="1D456" xlink:href="#MJX-16-NCM-I-1D456"></use></g></g><rect width="12128.2" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" data-latex="\right\}" transform="translate(19217.9,0)"><use data-c="7D" xlink:href="#MJX-16-NCM-S7-7D"></use></g></g></g></g></svg><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\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\}" display="block"><mfrac data-latex="\frac {\partial^r} {\partial \omega^r}"><msup data-latex="\partial^r"><mi data-latex="\partial">∂</mi><mi data-latex="r">r</mi></msup><mrow data-latex="\partial \omega^r"><mi data-latex="\partial">∂</mi><msup data-latex="\omega^r"><mi data-latex="\omega">ω</mi><mi data-latex="r">r</mi></msup></mrow></mfrac><mrow data-mjx-texclass="INNER" data-latex="\left(\frac {y^{\omega}} {\omega}\right)"><mo data-mjx-texclass="OPEN" data-latex="\left(">(</mo><mfrac data-latex="\frac {y^{\omega}} {\omega}"><msup data-latex="y^{\omega}"><mi data-latex="y">y</mi><mrow data-mjx-texclass="ORD" data-latex="{\omega}"><mi data-latex="\omega">ω</mi></mrow></msup><mi data-latex="\omega">ω</mi></mfrac><mo data-mjx-texclass="CLOSE" data-latex="\right)">)</mo></mrow><mo data-latex="=">=</mo><mrow data-mjx-texclass="INNER" data-latex="\left(\frac {y^{\omega}} {\omega}\right)"><mo data-mjx-texclass="OPEN" data-latex="\left(">(</mo><mfrac data-latex="\frac {y^{\omega}} {\omega}"><msup data-latex="y^{\omega}"><mi data-latex="y">y</mi><mrow data-mjx-texclass="ORD" data-latex="{\omega}"><mi data-latex="\omega">ω</mi></mrow></msup><mi data-latex="\omega">ω</mi></mfrac><mo data-mjx-texclass="CLOSE" data-latex="\right)">)</mo></mrow><mrow data-mjx-texclass="INNER" data-latex="\left\{(\log y)^r + \sum_{i=1}^r \frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i} \right\}"><mo data-mjx-texclass="OPEN" data-latex="\left\{">{</mo><mo data-latex="(" stretchy="false">(</mo><mi data-latex="\log">log</mi><mo data-mjx-texclass="NONE"></mo><mi data-latex="y">y</mi><msup data-latex=")^r"><mo data-latex=")" stretchy="false">)</mo><mi data-latex="r">r</mi></msup><mo data-latex="+">+</mo><munderover data-latex="\sum_{i=1}^r"><mo data-latex="\sum">∑</mo><mrow data-mjx-texclass="ORD" data-latex="{i=1}"><mi data-latex="i">i</mi><mo data-latex="=">=</mo><mn data-latex="1">1</mn></mrow><mi data-latex="r">r</mi></munderover><mfrac data-latex="\frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i}"><mrow data-latex="(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}"><mo data-latex="(" stretchy="false">(</mo><mo data-latex="-">−</mo><mn data-latex="1">1</mn><msup data-latex=")^I"><mo data-latex=")" stretchy="false">)</mo><mi data-latex="I">I</mi></msup><mi data-latex="r">r</mi><mo data-latex="\cdots">⋯</mo><mo data-latex="(" stretchy="false">(</mo><mi data-latex="r">r</mi><mo data-latex="-">−</mo><mi data-latex="i">i</mi><mo data-latex="+">+</mo><mn data-latex="1">1</mn><mo data-latex=")" stretchy="false">)</mo><mo data-latex="(" stretchy="false">(</mo><mi data-latex="\log">log</mi><mo data-mjx-texclass="NONE"></mo><mi data-latex="y">y</mi><msup data-latex=")^{r i}"><mo data-latex=")" stretchy="false">)</mo><mrow data-mjx-texclass="ORD" data-latex="{r i}"><mi data-latex="r">r</mi><mi data-latex="i">i</mi></mrow></msup></mrow><msup data-latex="\omega^i"><mi data-latex="\omega">ω</mi><mi data-latex="i">i</mi></msup></mfrac><mo data-mjx-texclass="CLOSE" data-latex="\right\}">}</mo></mrow></math></mjx-assistive-mml></mjx-container><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\frac {\partial^r} {\partial \omega^r} \left(\frac {y^{\omega}} {\omega}\right)</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">= \left(\frac {y^{\omega}} {\omega}\right) \left</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\{</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">(\log y)^r + \sum_{i=1}^r \frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i} \right</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span></code></pre></div><h2 id="tex-tutorial" tabindex="-1"><a class="header-anchor" href="#tex-tutorial"><span>Tex Tutorial</span></a></h2><h3 id="operator" tabindex="-1"><a class="header-anchor" href="#operator"><span>Operator</span></a></h3><ul><li><p>Some operators can be entered directly in math mode; others need to be generated using control sequences:</p><ul><li><code>+</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.188ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-17-NCM-N-2B" d="M698 274L413 274L413 559C413 575 405 583 389 583C373 583 365 575 365 559L365 274L80 274C64 274 56 266 56 250C56 234 64 226 80 226L365 226L365-59C365-75 373-83 389-83C405-83 413-75 413-59L413 226L698 226C714 226 722 234 722 250C722 263 711 274 698 274Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="+"><g data-mml-node="mo" data-latex="+"><use data-c="2B" xlink:href="#MJX-17-NCM-N-2B"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="+"><mo data-latex="+">+</mo></math></mjx-assistive-mml></mjx-container></li><li><code>-</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.188ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-18-NCM-N-2212" d="M698 270L80 270C64 270 56 263 56 250C56 237 64 230 80 230L698 230C714 230 722 237 722 250C722 262 710 270 698 270Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="-"><g data-mml-node="mo" data-latex="-"><use data-c="2212" xlink:href="#MJX-18-NCM-N-2212"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="-"><mo data-latex="-">−</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\times</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:0.02ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.09ex" role="img" focusable="false" viewBox="0 -491 778 482" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-19-NCM-N-D7" d="M630 32C630 39 628 44 623 49L422 250L623 451C628 456 630 461 630 468C630 481 620 491 607 491C600 491 595 489 590 484L389 283L188 484C183 489 178 491 171 491C158 491 148 481 148 468C148 461 150 456 155 451L356 250L155 49C150 44 148 39 148 32C148 19 158 9 171 9C178 9 183 11 188 16L389 217L590 16C595 11 600 9 607 9C620 9 630 19 630 32Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\times"><g data-mml-node="mo" data-latex="\times"><use data-c="D7" xlink:href="#MJX-19-NCM-N-D7"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\times"><mo data-latex="\times">×</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\ div</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="2.167ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 958 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\div"><g data-mml-node="TeXAtom" data-latex="{\gradientnabla}" data-mjx-texclass="ORD"><g data-mml-node="mo" data-latex="\gradientnabla"><use data-c="1D6C1" xlink:href="#MJX-20-NCM-B-1D6C1"></use></g></g></g></g><defs><path id="MJX-20-NCM-B-1D6C1" d="M900 674C900 686 890 686 872 686L85 686C67 686 57 686 57 674C57 674 57 670 63 660L433 2C445-20 451-25 478-25C508-25 512-19 523 1L893 658C900 670 900 674 900 674M782 568L528 117L274 568Z"></path><path id="MJX-20-NCM-B-22C5" d="M192 250C192 279 168 303 139 303C110 303 86 279 86 250C86 221 110 197 139 197C168 197 192 221 192 250Z"></path></defs></svg><mjx-break size="0"></mjx-break><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="0.629ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 278 1000" xmlns:xlink="http://www.w3.org/1999/xlink"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\div"><g data-mml-node="mo" data-latex="\vdot"><use data-c="22C5" xlink:href="#MJX-20-NCM-B-22C5"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\div"><mrow data-mjx-texclass="ORD" data-latex="{\gradientnabla}"><mo mathvariant="bold" data-latex="\gradientnabla">∇</mo></mrow><mo mathvariant="bold" data-latex="\vdot">⋅</mo></math></mjx-assistive-mml></mjx-container></li><li><code>=</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:0.301ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.529ex" role="img" focusable="false" viewBox="0 -367 778 234" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-21-NCM-N-3D" d="M698 367L80 367C64 367 56 359 56 344C56 329 64 321 80 321L698 321C714 321 722 329 722 344C722 356 711 367 698 367M698 179L80 179C64 179 56 171 56 156C56 141 64 133 80 133L698 133C714 133 722 141 722 156C722 169 711 179 698 179Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="="><g data-mml-node="mo" data-latex="="><use data-c="3D" xlink:href="#MJX-21-NCM-N-3D"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="="><mo data-latex="=">=</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\pm</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.19ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.509ex" role="img" focusable="false" viewBox="0 -583 778 667" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-22-NCM-N-B1" d="M698-37L413-37L413 226L698 226C714 226 722 234 722 250C722 266 714 274 698 274L413 274L413 559C413 575 405 583 389 583C373 583 365 575 365 559L365 274L80 274C64 274 56 266 56 250C56 234 64 226 80 226L365 226L365-37L80-37C64-37 56-45 56-60C56-76 64-84 80-84L698-84C714-84 722-76 722-60C722-48 711-37 698-37Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\pm"><g data-mml-node="mo" data-latex="\pm"><use data-c="B1" xlink:href="#MJX-22-NCM-N-B1"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\pm"><mo data-latex="\pm">±</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\cdot</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:0.446ex;" xmlns="http://www.w3.org/2000/svg" width="0.629ex" height="0.24ex" role="img" focusable="false" viewBox="0 -303 278 106" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-23-NCM-N-22C5" d="M192 250C192 279 168 303 139 303C110 303 86 279 86 250C86 221 110 197 139 197C168 197 192 221 192 250Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\cdot"><g data-mml-node="mo" data-latex="\cdot"><use data-c="22C5" xlink:href="#MJX-23-NCM-N-22C5"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\cdot"><mo data-latex="\cdot">⋅</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\cup</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.045ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.412ex" role="img" focusable="false" viewBox="0 -604 667 624" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-24-NCM-N-222A" d="M334-20C403-20 465-1 518 38C577 81 607 136 607 203L607 580C607 596 599 604 583 604C568 604 560 596 560 580L560 203C560 149 535 105 485 72C440 42 390 27 334 27C278 27 228 42 183 72C133 105 108 149 108 203L108 580C108 596 100 604 85 604C69 604 61 596 61 580L61 203C61 136 91 81 150 38C203-1 265-20 334-20Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\cup"><g data-mml-node="mo" data-latex="\cup"><use data-c="222A" xlink:href="#MJX-24-NCM-N-222A"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\cup"><mo data-latex="\cup">∪</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\geq</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.269ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.697ex" role="img" focusable="false" viewBox="0 -631 778 750" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-25-NCM-N-2265" d="M684 310C694 315 699 322 699 333C699 344 694 352 684 357L110 629C107 630 103 631 99 631C83 631 75 623 75 606C75 597 80 590 89 586L623 333L89 80C80 76 75 69 75 60C75 43 83 35 99 35C103 35 107 36 110 38M678-72L100-72C84-72 76-80 76-95C76-111 84-119 100-119L678-119C694-119 702-111 702-95C702-83 691-72 678-72Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\geq"><g data-mml-node="mo" data-latex="\geq"><use data-c="2265" xlink:href="#MJX-25-NCM-N-2265"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\geq"><mo data-latex="\geq">≥</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\leq</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.269ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.697ex" role="img" focusable="false" viewBox="0 -631 778 750" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-26-NCM-N-2264" d="M668 38C686 29 703 44 703 60C703 69 698 76 689 80L155 333L689 586C698 590 703 597 703 606C703 623 695 631 679 631C675 631 671 630 668 629L94 357C84 352 79 344 79 333C79 322 84 315 94 310M678-72L100-72C84-72 76-80 76-95C76-111 84-119 100-119L678-119C694-119 702-111 702-95C702-83 691-72 678-72Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\leq"><g data-mml-node="mo" data-latex="\leq"><use data-c="2264" xlink:href="#MJX-26-NCM-N-2264"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\leq"><mo data-latex="\leq">≤</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\neq</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.52ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="2.172ex" role="img" focusable="false" viewBox="0 -730 778 960" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-27-NCM-N-2260" d="M698 178L388 178L440 322L698 322C714 322 722 330 722 346C722 362 714 370 698 370L458 370L576 698C578 701 579 703 579 706C579 722 571 730 555 730C542 730 535 725 532 714L407 370L80 370C64 370 56 362 56 346C56 330 64 322 80 322L390 322L338 178L80 178C64 178 56 170 56 154C56 138 64 130 80 130L320 130L201-198C200-200 200-203 200-206C200-222 208-230 224-230C236-230 243-225 246-214L371 130L698 130C714 130 722 138 722 154C722 166 711 178 698 178Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\neq"><g data-mml-node="mo" data-latex="\neq"><use data-c="2260" xlink:href="#MJX-27-NCM-N-2260"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\neq"><mo data-latex="\neq">≠</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\approx</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:0.097ex;" xmlns="http://www.w3.org/2000/svg" width="1.749ex" height="0.937ex" role="img" focusable="false" viewBox="0 -457 773 414" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-28-NCM-N-2248" d="M717 432L717 434C717 445 712 450 701 450C694 450 689 446 686 439C679 404 665 377 645 360C612 331 577 317 539 317C510 317 480 328 449 349C392 390 358 413 347 420C304 445 266 457 232 457C125 457 77 382 56 284L56 281C56 271 61 266 72 266C81 266 86 270 88 278C95 313 108 339 128 356C161 385 196 399 235 399C264 399 293 388 324 366C381 326 415 303 426 296C469 271 507 259 541 259C648 259 696 334 717 432M717 216L717 219C717 229 712 234 701 234C694 234 689 230 686 223C679 188 665 162 645 144C612 115 577 101 539 101C510 101 480 112 449 134C392 174 358 197 347 204C304 229 266 241 232 241C125 241 77 166 56 68L56 66C56 55 61 50 72 50C81 50 86 54 88 62C95 97 108 123 128 140C161 169 196 183 235 183C264 183 293 172 324 151C381 110 415 87 426 80C469 55 507 43 541 43C648 43 696 118 717 216Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\approx"><g data-mml-node="mo" data-latex="\approx"><use data-c="2248" xlink:href="#MJX-28-NCM-N-2248"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\approx"><mo data-latex="\approx">≈</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\equiv</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:0.081ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.968ex" role="img" focusable="false" viewBox="0 -464 778 428" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-29-NCM-N-2261" d="M698 464L80 464C64 464 56 456 56 440C56 425 64 417 80 417L698 417C714 417 722 425 722 440C722 453 711 464 698 464M698 274L80 274C64 274 56 266 56 250C56 234 64 226 80 226L698 226C714 226 722 234 722 250C722 262 711 274 698 274M698 83L80 83C64 83 56 75 56 60C56 44 64 36 80 36L698 36C714 36 722 44 722 60C722 72 711 83 698 83Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\equiv"><g data-mml-node="mo" data-latex="\equiv"><use data-c="2261" xlink:href="#MJX-29-NCM-N-2261"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\equiv"><mo data-latex="\equiv">≡</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\quad</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="0.036ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 16 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\quad"><g data-mml-node="mspace" data-latex="\quad"></g></g></g><defs></defs></svg><mjx-break size="0"></mjx-break><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1000 1000" xmlns:xlink="http://www.w3.org/1999/xlink"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\quad"><g data-mml-node="mspace" data-latex="\quad"></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\quad"><mspace width="1em" data-latex="\quad"></mspace></math></mjx-assistive-mml></mjx-container> (blank separator)</li></ul></li><li><p>Radical: <code>\sqrt{xxx}</code> <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.491ex;" xmlns="http://www.w3.org/2000/svg" width="5.812ex" height="2.398ex" role="img" focusable="false" viewBox="0 -843 2569 1060" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-31-NCM-N-221A" d="M847-2C851 7 853 13 853 16C853 32 845 40 829 40C820 40 813 36 809 27C666-259 595-403 595-405L595-406C595-413 527-558 390-843L217-461C212-450 207-445 201-445C198-445 192-448 184-454L86-528C77-535 73-540 73-545C73-555 78-560 87-560C90-560 95-557 103-551L151-516L345-943C350-954 357-960 367-960C379-960 387-955 392-946Z"></path><path id="MJX-31-NCM-I-1D465" d="M527 373C527 419 482 442 432 442C389 442 355 419 329 373C308 419 273 442 222 442C173 442 133 419 101 374C74 335 60 306 60 287C60 278 65 273 75 273C84 273 90 278 92 287C111 345 153 413 220 413C253 413 269 392 269 351C269 330 251 252 216 118C199 51 169 18 126 18C112 18 99 21 88 26C114 36 127 54 127 80C127 106 114 119 87 119C54 119 29 91 29 58C29 12 76-11 125-11C167-11 201 12 228 58C247 12 283-11 335-11C383-11 423 12 455 57C482 96 496 125 496 144C496 153 491 158 481 158C472 158 467 153 464 144C447 87 402 18 337 18C304 18 287 38 287 79C287 92 292 120 303 165L337 300C356 375 387 413 431 413C445 413 458 410 469 405C442 396 429 378 429 351C429 325 443 312 470 312C502 312 527 341 527 373Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\sqrt{xxx}"><g data-mml-node="msqrt" data-latex="\sqrt{xxx}"><g data-mml-node="mo" transform="translate(0,743)"><use data-c="221A" xlink:href="#MJX-31-NCM-N-221A"></use></g><g transform="translate(853,0)"><g data-mml-node="mi" data-latex="x"><use data-c="1D465" xlink:href="#MJX-31-NCM-I-1D465"></use></g><g data-mml-node="mi" data-latex="x" transform="translate(572,0)"><use data-c="1D465" xlink:href="#MJX-31-NCM-I-1D465"></use></g><g data-mml-node="mi" data-latex="x" transform="translate(1144,0)"><use data-c="1D465" xlink:href="#MJX-31-NCM-I-1D465"></use></g></g><rect width="1716" height="60" x="853" y="723"></rect></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\sqrt{xxx}"><msqrt data-latex="\sqrt{xxx}"><mi data-latex="x">x</mi><mi data-latex="x">x</mi><mi data-latex="x">x</mi></msqrt></math></mjx-assistive-mml></mjx-container></p></li><li><p>Fraction <code>\frac{aaa}{bbb}</code> <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.798ex;" xmlns="http://www.w3.org/2000/svg" width="3.534ex" height="2.397ex" role="img" focusable="false" viewBox="0 -706.5 1562.2 1059.3" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-32-NCM-I-1D44E" d="M498 144C498 153 493 158 482 158C474 158 468 151 465 137C445 58 421 18 394 18C377 18 368 32 368 60C368 73 372 97 381 132L438 357C443 376 445 387 445 392C445 412 434 422 412 422C391 422 377 410 370 387C349 424 319 442 281 442C216 442 159 409 109 343C63 281 40 217 40 150C40 63 91-11 175-11C218-11 260 12 300 58C311 20 345-11 392-11C461-11 482 70 498 144M341 374C350 353 355 339 355 330C355 326 354 321 353 314L304 122C301 111 294 99 285 87C248 41 212 18 177 18C138 18 118 48 118 107C118 131 124 167 136 215C157 300 187 357 224 388C244 405 263 413 282 413C309 413 329 400 341 374Z"></path><path id="MJX-32-NCM-I-1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694C193 694 120 685 107 684C92 682 84 675 84 660C84 650 93 645 112 645C131 645 157 646 157 632C157 628 152 608 143 571L63 249C52 207 47 173 47 148C47 62 93-11 175-11C240-11 297 22 347 89C392 151 415 216 415 283C415 370 364 445 281 445M279 415C318 415 337 385 337 326C337 299 331 263 319 218C297 133 268 75 233 44C213 27 194 19 175 19C134 19 114 51 114 115C114 137 119 170 129 214L151 304C154 319 159 330 165 338C204 389 242 415 279 415Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\frac{aaa}{bbb}"><g data-mml-node="mfrac" data-latex="\frac{aaa}{bbb}"><g data-mml-node="mrow" transform="translate(220,394) scale(0.707)" data-latex="aaa"><g data-mml-node="mi" data-latex="a"><use data-c="1D44E" xlink:href="#MJX-32-NCM-I-1D44E"></use></g><g data-mml-node="mi" data-latex="a" transform="translate(529,0)"><use data-c="1D44E" xlink:href="#MJX-32-NCM-I-1D44E"></use></g><g data-mml-node="mi" data-latex="a" transform="translate(1058,0)"><use data-c="1D44E" xlink:href="#MJX-32-NCM-I-1D44E"></use></g></g><g data-mml-node="mrow" transform="translate(326.1,-345) scale(0.707)" data-latex="bbb"><g data-mml-node="mi" data-latex="b"><use data-c="1D44F" xlink:href="#MJX-32-NCM-I-1D44F"></use></g><g data-mml-node="mi" data-latex="b" transform="translate(429,0)"><use data-c="1D44F" xlink:href="#MJX-32-NCM-I-1D44F"></use></g><g data-mml-node="mi" data-latex="b" transform="translate(858,0)"><use data-c="1D44F" xlink:href="#MJX-32-NCM-I-1D44F"></use></g></g><rect width="1322.2" height="60" x="120" y="220"></rect></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\frac{aaa}{bbb}"><mfrac data-latex="\frac{aaa}{bbb}"><mrow data-latex="aaa"><mi data-latex="a">a</mi><mi data-latex="a">a</mi><mi data-latex="a">a</mi></mrow><mrow data-latex="bbb"><mi data-latex="b">b</mi><mi data-latex="b">b</mi><mi data-latex="b">b</mi></mrow></mfrac></math></mjx-assistive-mml></mjx-container> (the first parameter is the numerator and the second is the denominator).</p></li><li><p>Sum: <code>\sum</code> <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="2.389ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1056 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-33-NCM-SO-2211" d="M56 713L417 216L67-217C60-225 57-231 57-235C57-245 67-250 88-250L913-250L1001 5L967 5C954-33 933-66 902-95C825-166 719-188 565-188L152-188L490 232C497 240 500 246 500 250C500 254 498 259 493 266L175 702L560 702C682 702 764 691 854 644C907 616 944 571 967 510L1001 510L913 750L88 750C57 750 56 746 56 713Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\sum"><g data-mml-node="mo" data-latex="\sum"><use data-c="2211" xlink:href="#MJX-33-NCM-SO-2211"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\sum"><mo data-latex="\sum">∑</mo></math></mjx-assistive-mml></mjx-container></p></li><li><p>Tandem: <code>\prod</code> <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="2.136ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 944 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-34-NCM-SO-220F" d="M579-250L887-250L887-202C838-202 808-193 797-175C789-162 785-146 785-128L785 628C785 646 789 662 797 675C808 693 838 702 887 702L887 750L56 750L56 702C105 702 135 693 146 675C154 662 158 646 158 628L158-128C158-146 154-162 146-175C135-193 105-202 56-202L56-250L364-250L364-202C315-202 285-193 274-175C266-162 262-146 262-128L262 702L681 702L681-128C681-146 677-162 669-175C658-193 628-202 579-202Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\prod"><g data-mml-node="mo" data-latex="\prod"><use data-c="220F" xlink:href="#MJX-34-NCM-SO-220F"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\prod"><mo data-latex="\prod">∏</mo></math></mjx-assistive-mml></mjx-container></p></li><li><p>Limit: <code>\lim</code> <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:0;" xmlns="http://www.w3.org/2000/svg" width="3.143ex" height="1.57ex" role="img" focusable="false" viewBox="0 -694 1389 694" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-35-NCM-N-6C" d="M144 3L255 0L255 39C219 39 197 40 190 44C183 48 180 60 180 79L180 694L33 683L33 645C68 645 90 642 97 636C104 630 108 616 108 593L108 79C108 60 105 48 98 44C91 40 69 39 33 39L33 0Z"></path><path id="MJX-35-NCM-N-69" d="M194 601C194 631 169 657 139 657C109 657 83 631 83 601C83 571 108 544 138 544C169 544 194 570 194 601M143 3L247 0L247 39C214 39 194 41 188 45C182 49 180 60 180 78L180 445L37 433L37 395C70 395 91 392 98 387C105 382 108 368 108 345L108 79C108 60 105 48 98 44C91 40 69 39 33 39L33 0Z"></path><path id="MJX-35-NCM-N-6D" d="M315 413C361 413 384 378 384 307L384 79C384 60 381 48 374 44C367 40 344 38 307 38L307 0L423 3L538 0L538 38C501 38 479 40 472 44C465 48 461 60 461 79L461 259C461 339 513 413 590 413C637 413 660 378 660 307L660 79C660 60 656 48 649 44C642 40 619 38 582 38L582 0L698 3L813 0L813 38C781 38 760 39 750 42C740 45 736 52 736 64L736 251C736 298 734 331 731 350C721 411 676 442 597 442C534 442 487 413 455 354C441 413 397 442 322 442C259 442 211 412 179 352L179 442L32 431L32 393C68 393 90 390 98 384C106 378 109 365 109 342L109 79C109 60 105 48 98 44C91 40 69 38 32 38L32 0L148 3L263 0L263 38C226 38 203 40 196 44C189 48 185 60 185 79L185 259C185 340 238 413 315 413Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\lim"><g data-mml-node="mo" data-latex="\lim"><use data-c="6C" xlink:href="#MJX-35-NCM-N-6C"></use><use data-c="69" xlink:href="#MJX-35-NCM-N-69" transform="translate(278,0)"></use><use data-c="6D" xlink:href="#MJX-35-NCM-N-6D" transform="translate(556,0)"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\lim"><mo data-mjx-texclass="OP" movablelimits="true" data-latex="\lim">lim</mo></math></mjx-assistive-mml></mjx-container></p></li><li><p>Points: <code>\int</code> <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.691ex;" xmlns="http://www.w3.org/2000/svg" width="1.505ex" height="2.514ex" role="img" focusable="false" viewBox="0 -805.5 665 1111" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-36-NCM-SO-222B" d="M497 805C421 805 370 747 344 630C340 613 335 578 328 526L315 425C301 313 292 230 288 175L269-72C262-169 246-276 168-276C147-276 129-271 114-261C135-255 146-241 146-219C146-192 128-173 101-173C71-173 56-189 56-220C56-273 111-306 168-306C249-306 305-246 335-127C356-43 375 107 391 324L410 571C414 628 421 673 430 705C443 747 452 775 498 775C519 775 537 770 551 760C530 754 519 740 519 718C519 691 537 672 564 672C594 672 609 688 609 719C609 772 554 805 497 805Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\int"><g data-mml-node="mo" data-latex="\int" transform="translate(0 0.5)"><use data-c="222B" xlink:href="#MJX-36-NCM-SO-222B"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\int"><mo data-latex="\int">∫</mo></math></mjx-assistive-mml></mjx-container></p></li><li><p>Multiple points:</p><ul><li><code>\iint</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.691ex;" xmlns="http://www.w3.org/2000/svg" width="2.342ex" height="2.514ex" role="img" focusable="false" viewBox="0 -805.5 1035 1111" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-37-NCM-SO-222C" d="M866 805C789 805 738 747 712 630C708 612 702 575 695 520L683 425C669 313 660 230 656 175L637-72C630-169 614-276 536-276C514-276 496-271 481-261C502-255 513-241 513-219C513-192 495-173 468-173C438-173 423-189 423-220C423-274 479-306 536-306C617-306 673-246 703-127C724-43 743 107 760 324L779 571C783 628 790 673 799 705C812 748 821 775 867 775C888 775 906 770 920 760C899 754 889 740 889 718C889 692 907 672 933 672C964 672 979 688 979 719C979 773 923 805 866 805M499 805C422 805 371 747 346 630C342 612 336 575 329 520L316 425C302 313 293 230 289 175L270-72C263-169 247-276 169-276C148-276 130-271 115-261C136-255 146-241 146-219C146-193 128-173 102-173C71-173 56-189 56-220C56-274 112-306 169-306C250-306 306-246 336-127C357-43 376 107 393 324L412 571C416 628 423 673 433 705C444 747 455 775 500 775C521 775 539 770 554 760C533 754 522 740 522 718C522 691 540 672 567 672C597 672 612 688 612 719C612 773 556 805 499 805Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\iint"><g data-mml-node="mo" data-latex="\iint" transform="translate(0 0.5)"><use data-c="222C" xlink:href="#MJX-37-NCM-SO-222C"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\iint"><mo data-latex="\iint">∬</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\iiint</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.691ex;" xmlns="http://www.w3.org/2000/svg" width="3.179ex" height="2.514ex" role="img" focusable="false" viewBox="0 -805.5 1405 1111" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-38-NCM-SO-222D" d="M1236 805C1159 805 1108 747 1082 630C1078 612 1072 575 1064 519L1052 425C1038 313 1029 230 1025 175L1006-72C999-169 983-276 905-276C883-276 865-271 850-261C871-255 882-241 882-219C882-192 864-173 837-173C806-173 791-189 791-220C791-274 848-306 905-306C986-306 1042-246 1073-127C1094-43 1113 107 1129 324L1148 571C1153 628 1160 673 1169 705C1182 748 1191 775 1237 775C1258 775 1276 770 1290 760C1269 754 1259 740 1259 718C1259 692 1277 672 1303 672C1334 672 1349 688 1349 719C1349 772 1293 805 1236 805M868 805C791 805 740 747 714 630C710 612 704 575 697 519L685 425C671 313 662 230 657 175L638-72C631-169 615-276 537-276C515-276 497-271 482-261C503-255 514-241 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xlink:href="#MJX-38-NCM-SO-222D"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\iiint"><mo data-latex="\iiint">∭</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\iiiint</code>: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.691ex;" xmlns="http://www.w3.org/2000/svg" width="4.016ex" height="2.514ex" role="img" focusable="false" viewBox="0 -805.5 1775 1111" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-39-NCM-SO-2A0C" d="M1606 805C1529 805 1477 747 1451 630C1447 612 1441 575 1434 520L1422 425C1408 313 1399 230 1395 175L1376-72C1368-168 1353-276 1274-276C1252-276 1234-271 1219-261C1240-255 1251-241 1251-219C1251-192 1233-173 1206-173C1176-173 1161-189 1161-220C1161-274 1217-306 1274-306C1356-306 1412-246 1442-127C1463-43 1482 107 1499 324L1518 571C1523 628 1530 673 1539 705C1551 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775C891 775 909 770 924 760C903 754 892 740 892 718C892 691 910 672 937 672C968 672 983 688 983 719C983 773 926 805 869 805M501 805C424 805 373 747 347 630C343 612 337 575 329 519L317 425C303 313 294 230 290 175L271-72C264-168 247-276 169-276C148-276 130-271 115-261C136-255 147-241 147-219C147-193 128-173 102-173C71-173 56-189 56-220C56-273 112-306 169-306C251-306 307-246 338-127C359-43 378 107 394 324L413 571C418 628 425 673 434 705C447 748 456 775 502 775C523 775 541 770 556 760C535 754 524 740 524 718C524 691 542 672 569 672C599 672 614 688 614 719C614 773 558 805 501 805Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\iiiint"><g data-mml-node="mo" data-latex="\iiiint" transform="translate(0 0.5)"><use data-c="2A0C" xlink:href="#MJX-39-NCM-SO-2A0C"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\iiiint"><mo data-mjx-texclass="OP" data-latex="\iiiint">⨌</mo></math></mjx-assistive-mml></mjx-container></li><li><code>\idotsint</code> <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.691ex;" xmlns="http://www.w3.org/2000/svg" width="5.519ex" height="2.514ex" role="img" focusable="false" viewBox="0 -805.5 2439.3 1111" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-40-NCM-SO-222B" d="M497 805C421 805 370 747 344 630C340 613 335 578 328 526L315 425C301 313 292 230 288 175L269-72C262-169 246-276 168-276C147-276 129-271 114-261C135-255 146-241 146-219C146-192 128-173 101-173C71-173 56-189 56-220C56-273 111-306 168-306C249-306 305-246 335-127C356-43 375 107 391 324L410 571C414 628 421 673 430 705C443 747 452 775 498 775C519 775 537 770 551 760C530 754 519 740 519 718C519 691 537 672 564 672C594 672 609 688 609 719C609 772 554 805 497 805Z"></path><path id="MJX-40-NCM-N-22EF" d="M720 250C720 280 694 303 664 303C633 303 607 280 607 250C607 220 633 197 664 197C694 197 720 220 720 250M444 250C444 280 418 303 388 303C357 303 332 280 332 250C332 220 357 197 388 197C418 197 444 220 444 250M169 250C169 280 143 303 112 303C82 303 56 280 56 250C56 220 82 197 112 197C142 197 169 220 169 250Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\idotsint"><g data-mml-node="mo" data-latex="\int" transform="translate(0 0.5)"><use data-c="222B" xlink:href="#MJX-40-NCM-SO-222B"></use></g><g data-mml-node="mo" data-latex="\cdots" transform="translate(831.7,0)"><use data-c="22EF" xlink:href="#MJX-40-NCM-N-22EF"></use></g><g data-mml-node="mo" data-latex="\int" transform="translate(1774.3,0) translate(0 0.5)"><use data-c="222B" xlink:href="#MJX-40-NCM-SO-222B"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\idotsint"><mo data-latex="\int">∫</mo><mo data-latex="\cdots">⋯</mo><mo data-latex="\int">∫</mo></math></mjx-assistive-mml></mjx-container></li></ul></li></ul><div class="hint-container tip"><p class="hint-container-title">Tips</p><p>Large operators such as continuous addition, multiplication, limits, and integrals can use <code>\limits</code> and <code>\nolimits</code> to force explicitly specify compress these superscripts or not.</p><p><code>\varoiint</code>, <code>\sqint</code>, <code>\sqiint</code>, <code>\ointctrclockwise</code>, <code>\ointclockwise</code>, <code>\varointclockwise</code>, <code>\varointctrclockwise</code>, <code>\fint</code>, <code>\landupint</code>, <code>\landdownint</code> are not supported currently.</p></div><div class="hint-container tip"><p class="hint-container-title">Case</p><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.491ex;" xmlns="http://www.w3.org/2000/svg" width="3.224ex" height="2.398ex" role="img" focusable="false" viewBox="0 -843 1425 1060" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-41-NCM-N-221A" d="M847-2C851 7 853 13 853 16C853 32 845 40 829 40C820 40 813 36 809 27C666-259 595-403 595-405L595-406C595-413 527-558 390-843L217-461C212-450 207-445 201-445C198-445 192-448 184-454L86-528C77-535 73-540 73-545C73-555 78-560 87-560C90-560 95-557 103-551L151-516L345-943C350-954 357-960 367-960C379-960 387-955 392-946Z"></path><path id="MJX-41-NCM-I-1D465" d="M527 373C527 419 482 442 432 442C389 442 355 419 329 373C308 419 273 442 222 442C173 442 133 419 101 374C74 335 60 306 60 287C60 278 65 273 75 273C84 273 90 278 92 287C111 345 153 413 220 413C253 413 269 392 269 351C269 330 251 252 216 118C199 51 169 18 126 18C112 18 99 21 88 26C114 36 127 54 127 80C127 106 114 119 87 119C54 119 29 91 29 58C29 12 76-11 125-11C167-11 201 12 228 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data-latex="x">x</mi></msqrt></math></mjx-assistive-mml></mjx-container>, <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.781ex;" xmlns="http://www.w3.org/2000/svg" width="1.795ex" height="2.737ex" role="img" focusable="false" viewBox="0 -864.9 793.6 1209.9" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-42-NCM-N-31" d="M269 666C228 624 168 603 89 603L89 564C141 564 184 572 217 588L217 82C217 64 213 52 204 47C195 42 170 39 130 39L95 39L95 0C120 2 174 3 257 3C340 3 394 2 419 0L419 39L384 39C343 39 318 42 310 47C302 52 297 64 297 82L297 636C297 660 295 666 269 666Z"></path><path id="MJX-42-NCM-N-32" d="M237 666C186 666 143 648 106 612C69 576 50 534 50 483C50 449 75 424 106 424C136 424 161 450 161 480C161 513 137 536 105 536C102 536 100 536 98 535C117 584 161 627 224 627C306 627 352 556 352 470C352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0L450 180L417 180C409 129 402 100 396 91C391 86 361 84 306 84L139 84L236 179C304 243 390 312 419 365C439 400 449 435 449 470C449 588 357 666 237 666Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\frac{1}{2}"><g data-mml-node="mfrac" data-latex="\frac{1}{2}"><g data-mml-node="mn" transform="translate(220,394) scale(0.707)" data-latex="1"><use data-c="31" xlink:href="#MJX-42-NCM-N-31"></use></g><g data-mml-node="mn" transform="translate(220,-345) scale(0.707)" data-latex="2"><use data-c="32" xlink:href="#MJX-42-NCM-N-32"></use></g><rect width="553.6" height="60" x="120" y="220"></rect></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\frac{1}{2}"><mfrac data-latex="\frac{1}{2}"><mn data-latex="1">1</mn><mn data-latex="2">2</mn></mfrac></math></mjx-assistive-mml></mjx-container>.</p><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" 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\iiint_1^2 x^2\; \iiiint_1^2 x^2\; \idotsint_1^2 x^2" display="block"><msubsup data-latex="\iint_1^2"><mo data-latex="\iint">∬</mo><mn data-latex="1">1</mn><mn data-latex="2">2</mn></msubsup><msup data-latex="x^2"><mi data-latex="x">x</mi><mn data-latex="2">2</mn></msup><mspace width="0.278em" data-latex="\;"></mspace><msubsup data-latex="\iiint_1^2"><mo data-latex="\iiint">∭</mo><mn data-latex="1">1</mn><mn data-latex="2">2</mn></msubsup><msup data-latex="x^2"><mi data-latex="x">x</mi><mn data-latex="2">2</mn></msup><mspace width="0.278em" data-latex="\;"></mspace><msubsup data-latex="\iiiint_1^2"><mo data-mjx-texclass="OP" data-latex="\iiiint">⨌</mo><mn data-latex="1">1</mn><mn data-latex="2">2</mn></msubsup><msup data-latex="x^2"><mi data-latex="x">x</mi><mn data-latex="2">2</mn></msup><mspace width="0.278em" data-latex="\;"></mspace><mo data-latex="\int">∫</mo><mo data-latex="\cdots">⋯</mo><msubsup data-latex="\int_1^2"><mo data-latex="\int">∫</mo><mn data-latex="1">1</mn><mn data-latex="2">2</mn></msubsup><msup data-latex="x^2"><mi data-latex="x">x</mi><mn data-latex="2">2</mn></msup></math></mjx-assistive-mml></mjx-container><div class="language-md line-numbers-mode" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\sqrt{x}$, $\frac{1}{2}$.</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\sum_{i=1}^n i\; \prod_{i=1}^n$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\sum\limits _{i=1}^n i\; \prod\limits _{i=1}^n$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\iint_1^2 x^2\; \iiint_1^2 x^2\; \iiiint_1^2 x^2\; \idotsint_1^2 x^2$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\iint\limits_1^2 x^2\; \iiint\limits_1^2 x^2\; \iiiint\limits_1^2 x^2\; \idotsint\limits_1^2 x^2$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$\iint_1^2 x^2\; \iiint_1^2 x^2\; \iiiint_1^2 x^2\; \idotsint_1^2 x^2$$</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 class="line-number"></div></div></div></div><h3 id="symbol" tabindex="-1"><a class="header-anchor" href="#symbol"><span>Symbol</span></a></h3><ul><li><p>English letters can be entered directly</p><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" 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data-latex="c">c</mi><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="x">x</mi><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="y">y</mi><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="z">z</mi><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="A">A</mi><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="B">B</mi><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="C">C</mi></math></mjx-assistive-mml></mjx-container></p><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$a \quad b \quad c \quad x \quad y \quad z \quad A \quad B \quad C$</span></span></code></pre></div></li><li><p>Greek characters use <code>\characterName</code> to enter symbols, and output capital letters when the first letter is capitalized.</p><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="1.448ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 640 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma"><g data-mml-node="mi" data-latex="\alpha"><use data-c="1D6FC" xlink:href="#MJX-49-NCM-I-1D6FC"></use></g><g data-mml-node="mspace" data-latex="\quad" transform="translate(640,0)"></g></g></g><defs><path id="MJX-49-NCM-I-1D6FC" d="M310 442C241 442 179 412 124 353C69 294 41 229 41 159C41 61 107-11 205-11C274-11 342 16 410 69C425 16 456-11 502-11C538-11 589 27 589 63C589 72 584 76 573 76C566 76 560 72 557 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viewBox="0 -750 1574 1000" xmlns:xlink="http://www.w3.org/1999/xlink"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma"><g data-mml-node="mspace" data-latex="\quad"></g><g data-mml-node="mi" data-latex="\beta" transform="translate(1000,0)"><use data-c="1D6FD" xlink:href="#MJX-49-NCM-I-1D6FD"></use></g><g data-mml-node="mspace" data-latex="\quad" transform="translate(1574,0)"></g></g></g></svg><mjx-break size="0"></mjx-break><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="3.491ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1543 1000" xmlns:xlink="http://www.w3.org/1999/xlink"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma"><g data-mml-node="mspace" data-latex="\quad"></g><g data-mml-node="mi" data-latex="\gamma" transform="translate(1000,0)"><use data-c="1D6FE" xlink:href="#MJX-49-NCM-I-1D6FE"></use></g><g data-mml-node="mspace" data-latex="\quad" transform="translate(1543,0)"></g></g></g></svg><mjx-break size="0"></mjx-break><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="3.896ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1722 1000" xmlns:xlink="http://www.w3.org/1999/xlink"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma"><g data-mml-node="mspace" data-latex="\quad"></g><g data-mml-node="mi" data-latex="\Omega" transform="translate(1000,0)"><use data-c="3A9" xlink:href="#MJX-49-NCM-N-3A9"></use></g><g data-mml-node="mspace" data-latex="\quad" transform="translate(1722,0)"></g></g></g></svg><mjx-break size="0"></mjx-break><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.147ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1833 1000" xmlns:xlink="http://www.w3.org/1999/xlink"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma"><g data-mml-node="mspace" data-latex="\quad"></g><g data-mml-node="mi" data-latex="\Delta" transform="translate(1000,0)"><use data-c="394" xlink:href="#MJX-49-NCM-N-394"></use></g><g data-mml-node="mspace" data-latex="\quad" transform="translate(1833,0)"></g></g></g></svg><mjx-break size="0"></mjx-break><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="3.676ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1625 1000" xmlns:xlink="http://www.w3.org/1999/xlink"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma"><g data-mml-node="mspace" data-latex="\quad"></g><g data-mml-node="mi" data-latex="\Gamma" transform="translate(1000,0)"><use data-c="393" xlink:href="#MJX-49-NCM-N-393"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma"><mi data-latex="\alpha">α</mi><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="\beta">β</mi><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="\gamma">γ</mi><mspace width="1em" data-latex="\quad"></mspace><mi mathvariant="normal" data-latex="\Omega">Ω</mi><mspace width="1em" data-latex="\quad"></mspace><mi mathvariant="normal" data-latex="\Delta">Δ</mi><mspace width="1em" data-latex="\quad"></mspace><mi mathvariant="normal" data-latex="\Gamma">Γ</mi></math></mjx-assistive-mml></mjx-container></p><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\alpha \quad \beta \quad \gamma \quad \Omega \quad \Delta \quad \Gamma$</span></span></code></pre></div></li><li><p>Other mathematical expressions can be used correspondingly</p><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.273ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2330.7 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g 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data-latex="\log">log</mi><mrow data-mjx-texclass="ORD" data-latex="{a}"><mi data-latex="a">a</mi></mrow></msub><mo data-mjx-texclass="NONE"></mo><mrow data-mjx-texclass="ORD" data-latex="{b}"><mi data-latex="b">b</mi></mrow><mspace width="1em" data-latex="\quad"></mspace><mi data-latex="\partial">∂</mi><mi data-latex="x">x</mi></math></mjx-assistive-mml></mjx-container></p><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\log_{a}{b} \quad \partial x$</span></span></code></pre></div></li></ul><h3 id="superscript-and-subscript" tabindex="-1"><a class="header-anchor" href="#superscript-and-subscript"><span>Superscript and Subscript</span></a></h3><ul><li>Superscript, use <code>^</code> to achieve</li><li>Subscript, use <code>_</code> to achieve</li><li>By default, superscript and subscript only apply to the next character. To work with multiple consecutive characters, please enclose these characters in curly brackets <code>{}</code>.</li></ul><p>Einstein ’s <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="1.733ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 766 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="E=mc^2"><g data-mml-node="mi" data-latex="E"><use data-c="1D438" xlink:href="#MJX-51-NCM-I-1D438"></use></g></g></g><defs><path id="MJX-51-NCM-I-1D438" d="M199 656C199 646 210 641 231 641C271 641 291 637 291 628C291 625 289 618 286 605L156 82C151 60 141 47 126 42C119 40 101 39 70 39C48 39 38 37 38 16C38 5 49 0 70 0L583 0C607 0 609 2 617 19L657 109C684 171 703 217 714 248C712 257 709 263 698 263C691 263 685 258 681 249C656 190 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xlink:href="#MJX-52-NCM-N-30" transform="translate(500,0)"></use><use data-c="30" xlink:href="#MJX-52-NCM-N-30" transform="translate(1000,0)"></use><use data-c="30" xlink:href="#MJX-52-NCM-N-30" transform="translate(1500,0)"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="2^{10} > 1000"><msup data-latex="2^{10}"><mn data-latex="2">2</mn><mrow data-mjx-texclass="ORD" data-latex="{10}"><mn data-latex="10">10</mn></mrow></msup><mo data-latex=">">></mo><mn data-latex="1000">1000</mn></math></mjx-assistive-mml></mjx-container></p><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">Einstein ’s $E=mc^2$.</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$2^{10} > 1000$</span></span></code></pre></div><h3 id="delimiters-parentheses-etc" tabindex="-1"><a class="header-anchor" href="#delimiters-parentheses-etc"><span>Delimiters (parentheses, etc.)</span></a></h3><p>Various parentheses are represented by commands such as <code>()</code>, <code>[]</code>, <code>\{\}</code>, <code>\langle\rangle</code>.</p><div class="hint-container tip"><p class="hint-container-title">Tips</p><p>Note that curly braces are usually used to enter command and environment parameters, so they must be preceded by <code>\</code> in mathematical formulas.</p><p>Because the application of <code>|</code> and <code>\|</code> in LaTeX is too casual, we recommend using <code>\lvert\rvert</code> and <code>\ lVert\rVert</code> instead.</p></div><p>To adjust the size of these delimiters, we recommend using <code>\big</code>, <code>\Big</code>, <code>\bigg</code>, <code>\Bigg</code> and a series of 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<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\Biggl[\biggl[\Bigl[\bigl[</span><span style="--shiki-light:#986801;--shiki-dark:#ABB2BF;">[</span><span style="--shiki-light:#4078F2;--shiki-dark:#61AFEF;">x</span><span style="--shiki-light:#986801;--shiki-dark:#ABB2BF;">]</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\bigr]\Bigr]\biggr]\Biggr]$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\Biggl </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\{</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\biggl </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\{</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\Bigl </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\{</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\bigl </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\{\{</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">x</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\}</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\bigr </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\}</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\Bigr </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\}</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\biggr </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\}</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\Biggr</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\}</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\Biggl\langle\biggl\langle\Bigl\langle\bigl\langle\langle x</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\rangle\bigr\rangle\Bigr\rangle\biggr\rangle\Biggr\rangle$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\Biggl\lvert\biggl\lvert\Bigl\lvert\bigl\lvert\lvert x</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\rvert\bigr\rvert\Bigr\rvert\biggr\rvert\Biggr\rvert$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\Biggl\lVert\biggl\lVert\Bigl\lVert\bigl\lVert\lVert x</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\rVert\bigr\rVert\Bigr\rVert\biggr\rVert\Biggr\rVert$</span></span></code></pre></div><h3 id="ellipsis" tabindex="-1"><a class="header-anchor" href="#ellipsis"><span>Ellipsis</span></a></h3><p>The ellipsis is represented by commands such as <code>\dots</code>,<code>\cdots</code>, <code>\vdots</code>,<code>\ddots</code>.</p><div class="hint-container tip"><p class="hint-container-title">Tips</p><p><code>\dots</code> and<code>\cdots</code> have different vertical positions. The former is generally used for subscripted sequences.</p></div><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="12.294ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5434 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="x_1,x_2,\dots ,x_n \quad 1,2,\cdots ,n \quad \vdots\quad \ddots"><g data-mml-node="msub" data-latex="x_1"><g data-mml-node="mi" data-latex="x"><use data-c="1D465" xlink:href="#MJX-59-NCM-I-1D465"></use></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)" data-latex="1"><use data-c="31" xlink:href="#MJX-59-NCM-N-31"></use></g></g><g data-mml-node="mo" data-latex="," transform="translate(1008.6,0)"><use data-c="2C" xlink:href="#MJX-59-NCM-N-2C"></use></g><g 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style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$x_1,x_2,\dots ,x_n \quad 1,2,\cdots ,n \quad \vdots\quad \ddots$</span></span></code></pre></div><h3 id="matrix" tabindex="-1"><a class="header-anchor" href="#matrix"><span>Matrix</span></a></h3><p><code>pmatrix</code>, <code>bmatrix</code>, <code>Bmatrix</code>, <code>vmatrix</code>, <code>Vmatrix</code> and other environments can add various separators on both sides of the matrix.</p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" style="position:relative;"><svg style="vertical-align:-2.267ex;" xmlns="http://www.w3.org/2000/svg" width="46.868ex" height="5.665ex" role="img" focusable="false" viewBox="0 -1502 20715.7 2504" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-60-NCM-S6-28" d="M660-946C675-946 682-939 682-924C682-917 679-911 674-907C606-856 545-777 490-670C393-480 320-209 320 65L320 435C320 560 335 686 364 813C416 1043 523 1293 674 1407C679 1411 682 1417 682 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xlink:href="#MJX-60-NCM-I-1D450"></use></g></g><g data-mml-node="mtd" transform="translate(1529,0)"><g data-mml-node="mi" data-latex="d"><use data-c="1D451" xlink:href="#MJX-60-NCM-I-1D451"></use></g></g></g></g><g data-mml-node="mo" transform="translate(2799,0)"><use data-c="7D" xlink:href="#MJX-60-NCM-S6-7D"></use></g></g><g data-mml-node="mspace" data-latex="\quad" transform="translate(12508.3,0)"></g><g data-mml-node="mrow" data-latex="{vmatrix}" transform="translate(13675,0)"><g data-mml-node="mo"><use data-c="2223" xlink:href="#MJX-60-NCM-S5-2223"></use></g><g data-mml-node="mtable" transform="translate(333,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mi" data-latex="a"><use data-c="1D44E" xlink:href="#MJX-60-NCM-I-1D44E"></use></g></g><g data-mml-node="mtd" transform="translate(1574.5,0)"><g data-mml-node="mi" data-latex="b"><use data-c="1D44F" xlink:href="#MJX-60-NCM-I-1D44F"></use></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(48,0)"><g data-mml-node="mi" data-latex="c"><use data-c="1D450" xlink:href="#MJX-60-NCM-I-1D450"></use></g></g><g data-mml-node="mtd" transform="translate(1529,0)"><g data-mml-node="mi" data-latex="d"><use data-c="1D451" xlink:href="#MJX-60-NCM-I-1D451"></use></g></g></g></g><g data-mml-node="mo" transform="translate(2382,0)"><use data-c="2223" xlink:href="#MJX-60-NCM-S5-2223"></use></g></g><g data-mml-node="mspace" data-latex="\quad" transform="translate(16390,0)"></g><g data-mml-node="mrow" data-latex="{Vmatrix}" transform="translate(17556.7,0)"><g data-mml-node="mo"><use data-c="2225" xlink:href="#MJX-60-NCM-S5-2225"></use></g><g data-mml-node="mtable" transform="translate(555,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mi" data-latex="a"><use data-c="1D44E" xlink:href="#MJX-60-NCM-I-1D44E"></use></g></g><g data-mml-node="mtd" transform="translate(1574.5,0)"><g data-mml-node="mi" data-latex="b"><use data-c="1D44F" xlink:href="#MJX-60-NCM-I-1D44F"></use></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(48,0)"><g data-mml-node="mi" data-latex="c"><use data-c="1D450" xlink:href="#MJX-60-NCM-I-1D450"></use></g></g><g data-mml-node="mtd" transform="translate(1529,0)"><g data-mml-node="mi" data-latex="d"><use data-c="1D451" xlink:href="#MJX-60-NCM-I-1D451"></use></g></g></g></g><g data-mml-node="mo" transform="translate(2604,0)"><use data-c="2225" xlink:href="#MJX-60-NCM-S5-2225"></use></g></g></g></g></svg><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\begin{pmatrix} a&b\\c&d \end{pmatrix} \quad\begin{bmatrix} a&b\\c&d \end{bmatrix} \quad\begin{Bmatrix} a&b\\c&d \end{Bmatrix} \quad\begin{vmatrix} a&b\\c&d \end{vmatrix} \quad\begin{Vmatrix} a&b\\c&d \end{Vmatrix}" display="block"><mrow data-mjx-texclass="INNER" data-latex="{pmatrix}"><mo data-mjx-texclass="OPEN">(</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi data-latex="a">a</mi></mtd><mtd><mi data-latex="b">b</mi></mtd></mtr><mtr><mtd><mi data-latex="c">c</mi></mtd><mtd><mi data-latex="d">d</mi></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="1em" data-latex="\quad"></mspace><mrow data-mjx-texclass="INNER" data-latex="{bmatrix}"><mo data-mjx-texclass="OPEN">[</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi data-latex="a">a</mi></mtd><mtd><mi data-latex="b">b</mi></mtd></mtr><mtr><mtd><mi data-latex="c">c</mi></mtd><mtd><mi data-latex="d">d</mi></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">]</mo></mrow><mspace width="1em" data-latex="\quad"></mspace><mrow data-mjx-texclass="INNER" data-latex="{Bmatrix}"><mo data-mjx-texclass="OPEN">{</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi data-latex="a">a</mi></mtd><mtd><mi data-latex="b">b</mi></mtd></mtr><mtr><mtd><mi data-latex="c">c</mi></mtd><mtd><mi data-latex="d">d</mi></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">}</mo></mrow><mspace width="1em" data-latex="\quad"></mspace><mrow data-mjx-texclass="INNER" data-latex="{vmatrix}"><mo data-mjx-texclass="OPEN">|</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi data-latex="a">a</mi></mtd><mtd><mi data-latex="b">b</mi></mtd></mtr><mtr><mtd><mi data-latex="c">c</mi></mtd><mtd><mi data-latex="d">d</mi></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">|</mo></mrow><mspace width="1em" data-latex="\quad"></mspace><mrow data-mjx-texclass="INNER" data-latex="{Vmatrix}"><mo data-mjx-texclass="OPEN">‖</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi data-latex="a">a</mi></mtd><mtd><mi data-latex="b">b</mi></mtd></mtr><mtr><mtd><mi data-latex="c">c</mi></mtd><mtd><mi data-latex="d">d</mi></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">‖</mo></mrow></math></mjx-assistive-mml></mjx-container><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\begin{pmatrix} a&b</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">c&d \end{pmatrix} \quad</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\begin{bmatrix} a&b</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">c&d \end{bmatrix} \quad</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\begin{Bmatrix} a&b</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">c&d \end{Bmatrix} \quad</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\begin{vmatrix} a&b</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">c&d \end{vmatrix} \quad</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\begin{Vmatrix} a&b</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">c&d \end{Vmatrix}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span></code></pre></div><p>Using the <code>smallmatrix</code> environment, you can generate small matrices of inline formulas.</p><p>A small matrix: <mjx-container class="MathJax" jax="SVG" overflow="overflow" style="position:relative;"><svg style="vertical-align:-0.888ex;" xmlns="http://www.w3.org/2000/svg" width="3.971ex" height="2.58ex" role="img" focusable="false" viewBox="0 -748 1755.2 1140.4" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-61-NCM-N-28" d="M318-248C327-248 332-243 332-234C332-231 330-227 327-223C275-183 233-117 202-26C175 53 161 131 161 208L161 292C161 369 175 447 202 526C233 617 275 683 327 723C330 726 332 730 332 734C332 743 327 748 318 748C317 748 314 747 311 745C251 699 201 631 160 540C121 453 101 371 101 292L101 208C101 129 121 47 160-40C201-131 251-199 311-245C314-247 317-248 318-248Z"></path><path id="MJX-61-NCM-I-1D44E" d="M498 144C498 153 493 158 482 158C474 158 468 151 465 137C445 58 421 18 394 18C377 18 368 32 368 60C368 73 372 97 381 132L438 357C443 376 445 387 445 392C445 412 434 422 412 422C391 422 377 410 370 387C349 424 319 442 281 442C216 442 159 409 109 343C63 281 40 217 40 150C40 63 91-11 175-11C218-11 260 12 300 58C311 20 345-11 392-11C461-11 482 70 498 144M341 374C350 353 355 339 355 330C355 326 354 321 353 314L304 122C301 111 294 99 285 87C248 41 212 18 177 18C138 18 118 48 118 107C118 131 124 167 136 215C157 300 187 357 224 388C244 405 263 413 282 413C309 413 329 400 341 374Z"></path><path id="MJX-61-NCM-I-1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694C193 694 120 685 107 684C92 682 84 675 84 660C84 650 93 645 112 645C131 645 157 646 157 632C157 628 152 608 143 571L63 249C52 207 47 173 47 148C47 62 93-11 175-11C240-11 297 22 347 89C392 151 415 216 415 283C415 370 364 445 281 445M279 415C318 415 337 385 337 326C337 299 331 263 319 218C297 133 268 75 233 44C213 27 194 19 175 19C134 19 114 51 114 115C114 137 119 170 129 214L151 304C154 319 159 330 165 338C204 389 242 415 279 415Z"></path><path id="MJX-61-NCM-I-1D450" d="M328 325C328 300 341 287 368 287C404 287 427 318 427 354C427 410 368 442 308 442C239 442 176 412 122 353C68 294 41 229 41 159C41 61 106-11 204-11C257-11 304 2 345 27C379 48 404 69 420 90C427 99 430 106 430 109C430 120 425 126 414 126C409 126 404 122 398 114C365 70 324 42 277 30C246 22 223 18 206 18C149 18 121 53 121 122C121 184 150 274 174 317C198 361 249 413 308 413C346 413 372 402 386 381C355 378 328 358 328 325Z"></path><path id="MJX-61-NCM-I-1D451" d="M429 632L370 389C349 426 320 445 281 445C216 445 159 412 109 345C63 283 40 218 40 151C40 63 91-11 175-11C218-11 260 12 300 59C311 21 345-11 392-11C461-11 483 71 498 145C498 154 493 159 483 159C474 159 468 152 465 138C445 59 421 19 394 19C377 19 368 33 368 60C368 75 370 91 374 107L516 679L516 683C513 690 507 694 499 694C476 694 434 690 374 683C363 682 357 674 357 660C357 650 366 645 384 645C403 645 429 646 429 632M341 376C351 355 356 341 356 332C355 328 354 323 353 316L304 122C301 111 294 99 285 87C248 42 212 19 177 19C138 19 118 49 118 108C118 132 124 168 136 216C157 301 187 359 224 390C244 407 263 415 282 415C309 415 329 402 341 376Z"></path><path id="MJX-61-NCM-N-29" d="M78-245C138-199 188-131 229-40C268 47 288 129 288 208L288 292C288 371 268 453 229 540C188 631 138 699 78 745C75 747 72 748 71 748C62 748 57 743 57 734C57 730 59 726 62 723C114 683 156 617 187 526C214 447 228 369 228 292L228 208C228 131 214 53 187-26C156-117 114-183 62-223C59-227 57-231 57-234C57-243 62-248 71-248C72-248 75-247 78-245Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="( \begin{smallmatrix} a&b\\c&d \end{smallmatrix} )"><g data-mml-node="mo" data-latex="("><use data-c="28" xlink:href="#MJX-61-NCM-N-28"></use></g><g data-mml-node="mstyle" transform="translate(389,0) scale(0.707)" data-latex="{smallmatrix}"><g data-mml-node="mtable"><g data-mml-node="mtr" transform="translate(0,361)"><g data-mml-node="mtd"><g data-mml-node="mi" data-latex="a"><use data-c="1D44E" xlink:href="#MJX-61-NCM-I-1D44E"></use></g></g><g data-mml-node="mtd" transform="translate(907.5,0)"><g data-mml-node="mi" data-latex="b"><use data-c="1D44F" xlink:href="#MJX-61-NCM-I-1D44F"></use></g></g></g><g data-mml-node="mtr" transform="translate(0,-544)"><g data-mml-node="mtd" transform="translate(48,0)"><g data-mml-node="mi" data-latex="c"><use data-c="1D450" xlink:href="#MJX-61-NCM-I-1D450"></use></g></g><g data-mml-node="mtd" transform="translate(862,0)"><g data-mml-node="mi" data-latex="d"><use data-c="1D451" xlink:href="#MJX-61-NCM-I-1D451"></use></g></g></g></g></g><g data-mml-node="mo" data-latex=")" transform="translate(1366.2,0)"><use data-c="29" xlink:href="#MJX-61-NCM-N-29"></use></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="( \begin{smallmatrix} a&b\\c&d \end{smallmatrix} )"><mo data-latex="(" stretchy="false">(</mo><mstyle scriptlevel="1" data-latex="{smallmatrix}"><mtable data-mjx-smallmatrix="true" columnspacing="0.333em" rowspacing=".2em"><mtr><mtd><mi data-latex="a">a</mi></mtd><mtd><mi data-latex="b">b</mi></mtd></mtr><mtr><mtd><mi data-latex="c">c</mi></mtd><mtd><mi data-latex="d">d</mi></mtd></mtr></mtable></mstyle><mo data-latex=")" stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container>.</p><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">A small matrix: $( \begin{smallmatrix} a&b</span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">c&d \end{smallmatrix} )$.</span></span></code></pre></div><h3 id="multi-line-formula" tabindex="-1"><a class="header-anchor" href="#multi-line-formula"><span>Multi-line Formula</span></a></h3><ul><li><p><strong>newline</strong></p><p>Use <code>\\</code> or <code>\newline</code> to wrap</p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" style="position:relative;"><svg style="vertical-align:-3.281ex;" xmlns="http://www.w3.org/2000/svg" width="15.755ex" height="4.977ex" role="img" focusable="false" viewBox="0 -750 6963.9 2200" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-62-NCM-I-1D465" d="M527 373C527 419 482 442 432 442C389 442 355 419 329 373C308 419 273 442 222 442C173 442 133 419 101 374C74 335 60 306 60 287C60 278 65 273 75 273C84 273 90 278 92 287C111 345 153 413 220 413C253 413 269 392 269 351C269 330 251 252 216 118C199 51 169 18 126 18C112 18 99 21 88 26C114 36 127 54 127 80C127 106 114 119 87 119C54 119 29 91 29 58C29 12 76-11 125-11C167-11 201 12 228 58C247 12 283-11 335-11C383-11 423 12 455 57C482 96 496 125 496 144C496 153 491 158 481 158C472 158 467 153 464 144C447 87 402 18 337 18C304 18 287 38 287 79C287 92 292 120 303 165L337 300C356 375 387 413 431 413C445 413 458 410 469 405C442 396 429 378 429 351C429 325 443 312 470 312C502 312 527 341 527 373Z"></path><path id="MJX-62-NCM-N-3D" d="M698 367L80 367C64 367 56 359 56 344C56 329 64 321 80 321L698 321C714 321 722 329 722 344C722 356 711 367 698 367M698 179L80 179C64 179 56 171 56 156C56 141 64 133 80 133L698 133C714 133 722 141 722 156C722 169 711 179 698 179Z"></path><path id="MJX-62-NCM-I-1D44E" d="M498 144C498 153 493 158 482 158C474 158 468 151 465 137C445 58 421 18 394 18C377 18 368 32 368 60C368 73 372 97 381 132L438 357C443 376 445 387 445 392C445 412 434 422 412 422C391 422 377 410 370 387C349 424 319 442 281 442C216 442 159 409 109 343C63 281 40 217 40 150C40 63 91-11 175-11C218-11 260 12 300 58C311 20 345-11 392-11C461-11 482 70 498 144M341 374C350 353 355 339 355 330C355 326 354 321 353 314L304 122C301 111 294 99 285 87C248 41 212 18 177 18C138 18 118 48 118 107C118 131 124 167 136 215C157 300 187 357 224 388C244 405 263 413 282 413C309 413 329 400 341 374Z"></path><path id="MJX-62-NCM-N-2B" d="M698 274L413 274L413 559C413 575 405 583 389 583C373 583 365 575 365 559L365 274L80 274C64 274 56 266 56 250C56 234 64 226 80 226L365 226L365-59C365-75 373-83 389-83C405-83 413-75 413-59L413 226L698 226C714 226 722 234 722 250C722 263 711 274 698 274Z"></path><path id="MJX-62-NCM-I-1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694C193 694 120 685 107 684C92 682 84 675 84 660C84 650 93 645 112 645C131 645 157 646 157 632C157 628 152 608 143 571L63 249C52 207 47 173 47 148C47 62 93-11 175-11C240-11 297 22 347 89C392 151 415 216 415 283C415 370 364 445 281 445M279 415C318 415 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<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">x = a+b+c+ </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">d+e+f+g</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">x = a+b+c+ \newline</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">d+e+f+g</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span></code></pre></div></li><li><p><strong>Alignment</strong></p><p>You can use the <code>aligned</code> environment to achieve alignment, and<code>&</code>to identify fixed anchor points</p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" style="position:relative;"><svg style="vertical-align:-2.036ex;" xmlns="http://www.w3.org/2000/svg" width="17.167ex" height="5.204ex" role="img" focusable="false" viewBox="0 -1400 7587.9 2300" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-64-NCM-I-1D465" d="M527 373C527 419 482 442 432 442C389 442 355 419 329 373C308 419 273 442 222 442C173 442 133 419 101 374C74 335 60 306 60 287C60 278 65 273 75 273C84 273 90 278 92 287C111 345 153 413 220 413C253 413 269 392 269 351C269 330 251 252 216 118C199 51 169 18 126 18C112 18 99 21 88 26C114 36 127 54 127 80C127 106 114 119 87 119C54 119 29 91 29 58C29 12 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<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\begin{aligned}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">x ={}& a+b+c+{} </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">&d+e+f+g</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\end{aligned}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\begin{alignedat}{2}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> 10&x+ &3&y = 2 </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;"> 3&x+&13&y = 4</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\end{alignedat}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</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 class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div></li></ul><h3 id="formula-group" tabindex="-1"><a class="header-anchor" href="#formula-group"><span>Formula Group</span></a></h3><p>Formula groups that do not require alignment can use the <code>gather</code> environment.</p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" style="position:relative;"><svg style="vertical-align:-2.036ex;" 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<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\begin{gathered}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">a = b+c+d </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">x = y+z</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\end{gathered}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span></code></pre></div><h3 id="numbering" tabindex="-1"><a class="header-anchor" href="#numbering"><span>Numbering</span></a></h3><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:16.474ex;position:relative;"><svg style="vertical-align:-0.717ex;min-width:16.474ex;" xmlns="http://www.w3.org/2000/svg" width="100%" height="2.565ex" role="img" focusable="false" xmlns:xlink="http://www.w3.org/1999/xlink" data-mjx-viewBox="0 -817 7281.5 1133.9" aria-hidden="true"><defs><path id="MJX-67-NCM-I-1D465" d="M527 373C527 419 482 442 432 442C389 442 355 419 329 373C308 419 273 442 222 442C173 442 133 419 101 374C74 335 60 306 60 287C60 278 65 273 75 273C84 273 90 278 92 287C111 345 153 413 220 413C253 413 269 392 269 351C269 330 251 252 216 118C199 51 169 18 126 18C112 18 99 21 88 26C114 36 127 54 127 80C127 106 114 119 87 119C54 119 29 91 29 58C29 12 76-11 125-11C167-11 201 12 228 58C247 12 283-11 335-11C383-11 423 12 455 57C482 96 496 125 496 144C496 153 491 158 481 158C472 158 467 153 464 144C447 87 402 18 337 18C304 18 287 38 287 79C287 92 292 120 303 165L337 300C356 375 387 413 431 413C445 413 458 410 469 405C442 396 429 378 429 351C429 325 443 312 470 312C502 312 527 341 527 373Z"></path><path id="MJX-67-NCM-N-2B" d="M698 274L413 274L413 559C413 575 405 583 389 583C373 583 365 575 365 559L365 274L80 274C64 274 56 266 56 250C56 234 64 226 80 226L365 226L365-59C365-75 373-83 389-83C405-83 413-75 413-59L413 226L698 226C714 226 722 234 722 250C722 263 711 274 698 274Z"></path><path id="MJX-67-NCM-I-1D466" d="M163 442C118 442 83 417 58 367C39 328 29 301 29 286C29 277 34 272 45 272C59 272 60 278 64 293C87 372 119 412 160 412C173 412 180 403 180 385C180 369 175 346 164 317C126 214 107 145 107 108C107 32 154-13 231-13C264-13 295-1 323 23C288-109 233-175 158-175C124-175 101-164 89-142C129-140 149-121 149-85C149-60 136-47 109-47C72-47 50-78 50-115C50-170 100-205 158-205C273-205 367-99 392-1L486 377C489 388 490 396 490 401C490 421 479 431 458 431C442 431 429 423 420 408C414 387 409 369 406 354L342 97C332 61 279 16 234 16C196 16 177 41 177 92C177 134 194 198 227 284C240 319 247 343 247 357C247 406 212 442 163 442Z"></path><path id="MJX-67-NCM-N-32" d="M237 666C186 666 143 648 106 612C69 576 50 534 50 483C50 449 75 424 106 424C136 424 161 450 161 480C161 513 137 536 105 536C102 536 100 536 98 535C117 584 161 627 224 627C306 627 352 556 352 470C352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0L450 180L417 180C409 129 402 100 396 91C391 86 361 84 306 84L139 84L236 179C304 243 390 312 419 365C439 400 449 435 449 470C449 588 357 666 237 666Z"></path><path id="MJX-67-NCM-N-28" d="M318-248C327-248 332-243 332-234C332-231 330-227 327-223C275-183 233-117 202-26C175 53 161 131 161 208L161 292C161 369 175 447 202 526C233 617 275 683 327 723C330 726 332 730 332 734C332 743 327 748 318 748C317 748 314 747 311 745C251 699 201 631 160 540C121 453 101 371 101 292L101 208C101 129 121 47 160-40C201-131 251-199 311-245C314-247 317-248 318-248Z"></path><path id="MJX-67-NCM-N-31" d="M269 666C228 624 168 603 89 603L89 564C141 564 184 572 217 588L217 82C217 64 213 52 204 47C195 42 170 39 130 39L95 39L95 0C120 2 174 3 257 3C340 3 394 2 419 0L419 39L384 39C343 39 318 42 310 47C302 52 297 64 297 82L297 636C297 660 295 666 269 666Z"></path><path id="MJX-67-NCM-N-29" d="M78-245C138-199 188-131 229-40C268 47 288 129 288 208L288 292C288 371 268 453 229 540C188 631 138 699 78 745C75 747 72 748 71 748C62 748 57 743 57 734C57 730 59 726 62 723C114 683 156 617 187 526C214 447 228 369 228 292L228 208C228 131 214 53 187-26C156-117 114-183 62-223C59-227 57-231 57-234C57-243 62-248 71-248C72-248 75-247 78-245Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -817)"><g data-mml-node="math" data-latex="\tag{1} x+y^{2x}
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"><g data-mml-node="mtable" data-latex="\tag*{1} x+y^{2x}" transform="translate(1300,0) translate(-1300,0)"><g transform="translate(0 817) matrix(1 0 0 -1 0 0) scale(55.25)"><svg data-table="true" preserveAspectRatio="xMidYMid" viewBox="1562.7 -817 1 1133.9"><g transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mlabeledtr" transform="translate(0,-67)"><g data-mml-node="mtd"><g data-mml-node="mi" data-latex="x"><use data-c="1D465" xlink:href="#MJX-68-NCM-I-1D465"></use></g><g data-mml-node="mo" data-latex="+" transform="translate(794.2,0)"><use data-c="2B" xlink:href="#MJX-68-NCM-N-2B"></use></g><g data-mml-node="msup" data-latex="y^{2x}" transform="translate(1794.4,0)"><g data-mml-node="mi" data-latex="y"><use data-c="1D466" xlink:href="#MJX-68-NCM-I-1D466"></use></g><g data-mml-node="TeXAtom" transform="translate(523,413) scale(0.707)" data-latex="{2x}" data-mjx-texclass="ORD"><g data-mml-node="mn" data-latex="2"><use data-c="32" xlink:href="#MJX-68-NCM-N-32"></use></g><g data-mml-node="mi" data-latex="x" transform="translate(500,0)"><use data-c="1D465" xlink:href="#MJX-68-NCM-I-1D465"></use></g></g></g></g></g></g></svg><svg data-labels="true" preserveAspectRatio="xMaxYMid" viewBox="500 -817 1 1133.9"><g data-labels="true" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mtd" id="mjx-eqn:1" transform="translate(0,599)"><text data-id-align="true"></text><g data-idbox="true" transform="translate(0,-666)"><g data-mml-node="mtext" data-latex="\text{1}"><use data-c="31" xlink:href="#MJX-68-NCM-N-31"></use></g></g></g></g></svg></g></g></g></g></svg><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" data-latex="\tag*{1} x+y^{2x}" display="block"><mtable displaystyle="true" data-latex="\tag*{1} x+y^{2x}"><mlabeledtr><mtd><mtext data-latex="\text{1}">1</mtext></mtd><mtd><mi data-latex="x">x</mi><mo data-latex="+">+</mo><msup data-latex="y^{2x}"><mi data-latex="y">y</mi><mrow data-mjx-texclass="ORD" data-latex="{2x}"><mn data-latex="2">2</mn><mi data-latex="x">x</mi></mrow></msup></mtd></mlabeledtr></mtable></math></mjx-assistive-mml></mjx-container><div class="language-md" data-highlighter="shiki" data-ext="md" style="--shiki-light:#383A42;--shiki-dark:#abb2bf;--shiki-light-bg:#FAFAFA;--shiki-dark-bg:#282c34;"><pre class="shiki shiki-themes one-light one-dark-pro vp-code"><code class="language-md"><span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\tag{1} x+y^{2x}$</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$\tag*{1} x+y^{2x}$</span></span></code></pre></div><h3 id="segmented-functions" tabindex="-1"><a class="header-anchor" href="#segmented-functions"><span>Segmented Functions</span></a></h3><p>Use <code>case</code> environment</p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" style="position:relative;"><svg style="vertical-align:-1.923ex;" xmlns="http://www.w3.org/2000/svg" width="17.762ex" height="4.977ex" role="img" focusable="false" viewBox="0 -1350 7850.8 2200" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true"><defs><path id="MJX-69-NCM-I-1D466" d="M163 442C118 442 83 417 58 367C39 328 29 301 29 286C29 277 34 272 45 272C59 272 60 278 64 293C87 372 119 412 160 412C173 412 180 403 180 385C180 369 175 346 164 317C126 214 107 145 107 108C107 32 154-13 231-13C264-13 295-1 323 23C288-109 233-175 158-175C124-175 101-164 89-142C129-140 149-121 149-85C149-60 136-47 109-47C72-47 50-78 50-115C50-170 100-205 158-205C273-205 367-99 392-1L486 377C489 388 490 396 490 401C490 421 479 431 458 431C442 431 429 423 420 408C414 387 409 369 406 354L342 97C332 61 279 16 234 16C196 16 177 41 177 92C177 134 194 198 227 284C240 319 247 343 247 357C247 406 212 442 163 442Z"></path><path id="MJX-69-NCM-N-3D" d="M698 367L80 367C64 367 56 359 56 344C56 329 64 321 80 321L698 321C714 321 722 329 722 344C722 356 711 367 698 367M698 179L80 179C64 179 56 171 56 156C56 141 64 133 80 133L698 133C714 133 722 141 722 156C722 169 711 179 698 179Z"></path><path id="MJX-69-NCM-S5-7B" d="M196 250C291 293 401 389 401 511L401 1035C401 1084 421 1131 460 1174C497 1215 541 1241 590 1253C602 1256 608 1264 608 1276C608 1292 600 1300 584 1300C581 1300 579 1300 578 1299C511 1286 447 1252 387 1195C334 1144 307 1091 307 1035L307 511C307 458 288 408 251 362C214 316 169 286 118 273C106 270 100 262 100 250C100 238 106 230 118 227C169 214 214 184 251 138C288 92 307 42 307-11L307-535C307-591 334-644 387-695C447-752 511-786 578-799C579-800 581-800 584-800C600-800 608-792 608-776C608-764 602-756 590-753C541-741 497-715 460-674C421-631 401-584 401-535L401-11C401 111 291 207 196 250Z"></path><path id="MJX-69-NCM-N-2212" d="M698 270L80 270C64 270 56 263 56 250C56 237 64 230 80 230L698 230C714 230 722 237 722 250C722 262 710 270 698 270Z"></path><path id="MJX-69-NCM-I-1D465" d="M527 373C527 419 482 442 432 442C389 442 355 419 329 373C308 419 273 442 222 442C173 442 133 419 101 374C74 335 60 306 60 287C60 278 65 273 75 273C84 273 90 278 92 287C111 345 153 413 220 413C253 413 269 392 269 351C269 330 251 252 216 118C199 51 169 18 126 18C112 18 99 21 88 26C114 36 127 54 127 80C127 106 114 119 87 119C54 119 29 91 29 58C29 12 76-11 125-11C167-11 201 12 228 58C247 12 283-11 335-11C383-11 423 12 455 57C482 96 496 125 496 144C496 153 491 158 481 158C472 158 467 153 464 144C447 87 402 18 337 18C304 18 287 38 287 79C287 92 292 120 303 165L337 300C356 375 387 413 431 413C445 413 458 410 469 405C442 396 429 378 429 351C429 325 443 312 470 312C502 312 527 341 527 373Z"></path><path id="MJX-69-NCM-N-2C" d="M139 106C107 106 86 82 86 50C86 20 109-5 139-5C153-5 165-1 174 8L175 0C175-63 154-117 112-160C105-168 101-174 101-178C101-188 105-193 114-193C123-193 135-181 152-158C186-110 203-57 203 0C203 53 185 106 139 106Z"></path><path id="MJX-69-NCM-N-2264" d="M668 38C686 29 703 44 703 60C703 69 698 76 689 80L155 333L689 586C698 590 703 597 703 606C703 623 695 631 679 631C675 631 671 630 668 629L94 357C84 352 79 344 79 333C79 322 84 315 94 310M678-72L100-72C84-72 76-80 76-95C76-111 84-119 100-119L678-119C694-119 702-111 702-95C702-83 691-72 678-72Z"></path><path id="MJX-69-NCM-N-30" d="M249-22C390-22 460 92 460 320C460 473 428 575 365 625C330 652 291 666 250 666C109 666 39 551 39 320C39 136 88-22 249-22M361 524C368 489 371 425 371 332C371 240 367 172 360 128C347 48 310 8 249 8C226 8 203 17 182 34C155 57 139 104 132 176C129 201 128 253 128 332C128 419 131 480 136 513C145 568 163 603 191 618C213 630 232 636 249 636C314 636 350 583 361 524Z"></path><path id="MJX-69-NCM-N-3E" d="M686 227C696 232 701 239 701 250C701 261 696 268 686 273L112 545C109 546 105 547 101 547C85 547 77 539 77 522C77 513 82 506 91 502L625 250L91-2C82-6 77-13 77-22C77-39 85-47 101-47C105-47 109-46 112-45Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="y= \begin{cases}
-x,\quad x\leq 0 \\
x,\quad x>0
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<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">y= \begin{cases}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">-x,\quad x\leq 0 </span><span style="--shiki-light:#0184BC;--shiki-dark:#56B6C2;">\\</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">x,\quad x>0</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">\end{cases}</span></span>
<span class="line"><span style="--shiki-light:#383A42;--shiki-dark:#ABB2BF;">$$</span></span></code></pre></div><h3 id="text" tabindex="-1"><a class="header-anchor" href="#text"><span>Text</span></a></h3><p>To insert text in TeX, you should use <code>\text{}</code> to wrap them.</p></div><!----><!----><!----></div><footer class="vp-page-meta"><div class="vp-meta-item edit-link"><a class="auto-link external-link vp-meta-label" href="https://github.com/mdit-plugins/mdit-plugins/edit/main/docs/src/tex.md" aria-label="Edit this page" rel="noopener noreferrer" target="_blank"><!--[--><svg xmlns="http://www.w3.org/2000/svg" class="icon edit-icon" viewBox="0 0 1024 1024" fill="currentColor" aria-label="edit icon" name="edit"><path d="M430.818 653.65a60.46 60.46 0 0 1-50.96-93.281l71.69-114.012 7.773-10.365L816.038 80.138A60.46 60.46 0 0 1 859.225 62a60.46 60.46 0 0 1 43.186 18.138l43.186 43.186a60.46 60.46 0 0 1 0 86.373L588.879 565.55l-8.637 8.637-117.466 68.234a60.46 60.46 0 0 1-31.958 11.229z"></path><path d="M728.802 962H252.891A190.883 190.883 0 0 1 62.008 771.98V296.934a190.883 190.883 0 0 1 190.883-192.61h267.754a60.46 60.46 0 0 1 0 120.92H252.891a69.962 69.962 0 0 0-69.098 69.099V771.98a69.962 69.962 0 0 0 69.098 69.098h475.911A69.962 69.962 0 0 0 797.9 771.98V503.363a60.46 60.46 0 1 1 120.922 0V771.98A190.883 190.883 0 0 1 728.802 962z"></path></svg><!--]-->Edit this page<!----></a></div><div class="vp-meta-item git-info"><div class="update-time"><span class="vp-meta-label">Last Updated: </span><time class="vp-meta-info" datetime="2026-03-18T05:34:59.000Z" data-allow-mismatch>3/18/26, 5:34 AM</time></div><!----></div></footer><nav class="vp-page-nav"><a class="route-link auto-link prev" href="/tasklist.html" aria-label="@mdit/plugin-tasklist"><div class="hint"><span class="arrow start"></span>Prev</div><div class="link"><i class="vp-icon fas fa-square-check" sizing="height"></i>@mdit/plugin-tasklist</div></a><a class="route-link auto-link next" href="/uml.html" aria-label="@mdit/plugin-uml"><div class="hint">Next<span class="arrow end"></span></div><div class="link">@mdit/plugin-uml<i class="vp-icon fas fa-file-lines" sizing="height"></i></div></a></nav><div id="comment" class="giscus-wrapper input-top vp-comment" vp-comment style="display:block;"><div style="display: flex;align-items: center;justify-content: center;height: 96px"><span style="--loading-icon: url("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");--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><!----><!--]--></main><!--]--><footer class="vp-footer-wrapper" vp-footer><div class="vp-footer">Docs by <a href="https://theme-hope.vuejs.press/" target="_blank">VuePress Theme Hope</a></div><div class="vp-copyright">MIT LICENSE | Copyright © 2022-present Mr.Hope</div></footer></div><!--]--><!--]--><!--[--><!----><!--[--><!--]--><!--]--><!--]--></div>
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