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<!doctype html><html><head><title>Equations</title><base href="./"><meta id="root-path" root-path="./"><link rel="icon" sizes="96x96" href="https://publish-01.obsidian.md/access/f786db9fac45774fa4f0d8112e232d67/favicon-96x96.png"><meta name="viewport" content="width=device-width,initial-scale=1,user-scalable=yes,minimum-scale=1,maximum-scale=5"><meta charset="UTF-8"><link rel="stylesheet" href="lib/styles/obsidian-styles.css"><link rel="stylesheet" href="lib/styles/theme.css"><link rel="stylesheet" href="lib/styles/plugin-styles.css"><link rel="stylesheet" href="lib/styles/snippets.css"><link rel="stylesheet" href="lib/styles/generated-styles.css"><style>body.css-settings-manager{--h6-variant:normal;--h5-variant:normal;--h4-variant:normal;--h1-size:1.8em;--h2-size:1.5em;--h3-size:1.324em;--h4-size:1.266em;--h5-size:1.125em;--h6-size:1em;--h1-font:inherit;--h2-font:inherit;--h3-font:inherit;--h4-font:inherit;--h5-font:inherit;--h6-font:inherit;--h1-variant:normal;--tab-stacked-pane-width:850px;--blockquote-font-style:normal;--blockquote-border-thickness:3px;--list-spacing:0.11em;--image-muted:1;--cursor:default;--pdf-dark-opacity:0.85;--heading-spacing:2em}</style><script type="module" src="lib/scripts/graph_view.js"></script><script src="lib/scripts/graph_wasm.js"></script><script src="lib/scripts/tinycolor.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/pixi.js/7.2.4/pixi.min.js" integrity="sha512-Ch/O6kL8BqUwAfCF7Ie5SX1Hin+BJgYH4pNjRqXdTEqMsis1TUYg+j6nnI9uduPjGaj7DN4UKCZgpvoExt6dkw==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lib/scripts/webpage.js"></script><script src="lib/scripts/generated.js"></script></head><body class="theme-dark mod-macos native-scrollbars math-booster-preview-enabled callouts-default trim-cols embed-hide-title h2-l h3-l checkbox-square minimal-strike-lists pdf-shadows-on pdf-invert-dark pdf-blend-light metadata-heading-off sidebar-tabs-default ribbon-hidden maximize-tables-off tabs-default tab-stack-top minimal-tab-title-visible styled-scrollbars loading"><div class="webpage-container"><div class="sidebar-left sidebar"><div class="sidebar-container"><div class="sidebar-sizer"><div class="sidebar-content-positioner"><div class="sidebar-content"><div><label class="theme-toggle-container" for="theme_toggle"><input class="theme-toggle-input" type="checkbox" id="theme_toggle"><div class="toggle-background"></div></label></div><div class="tree-container file-tree mod-nav-indicator" data-depth="0"><div class="tree-header"><span class="sidebar-section-header">LaTeX-like Theorem &amp; Equation Referencer Docs</span><button class="clickable-icon collapse-tree-button is-collapsed"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"></svg></button></div><div class="tree-scroll-area"><div class="tree-item mod-tree-folder mod-collapsible is-collapsed" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link"><div class="tree-item-icon collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle"><path d="M3 8L12 17L21 8"></path></svg></div><span class="tree-item-title">Extending Obsidian's math rendering functionalities</span></a></div><div class="tree-item-children" style="display:none"><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="extending-obsidian's-math-rendering-functionalities/multi-line-equation-support-inside-blockquotes.html"><span class="tree-item-title">Multi-line equation support inside blockquotes</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="extending-obsidian's-math-rendering-functionalities/rendering-equations-inside-callouts.html"><span class="tree-item-title">Rendering equations inside callouts</span></a></div><div class="tree-item-children"></div></div></div></div><div class="tree-item mod-tree-folder mod-collapsible is-collapsed" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link"><div class="tree-item-icon collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle"><path d="M3 8L12 17L21 8"></path></svg></div><span class="tree-item-title">Search &amp; link autocomplete</span></a></div><div class="tree-item-children" style="display:none"><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="search-&amp;-link-autocomplete/custom-link-autocomplete.html"><span class="tree-item-title">Custom link autocomplete</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="search-&amp;-link-autocomplete/enhancing-obsidian's-built-in-link-autocomplete.html"><span class="tree-item-title">Enhancing Obsidian's built-in link autocomplete</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="search-&amp;-link-autocomplete/search-&amp;-link-autocomplete.html"><span class="tree-item-title">Search &amp; link autocomplete</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="search-&amp;-link-autocomplete/search-modal.html"><span class="tree-item-title">Search modal</span></a></div><div class="tree-item-children"></div></div></div></div><div class="tree-item mod-tree-folder mod-collapsible is-collapsed" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link"><div class="tree-item-icon collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle"><path d="M3 8L12 17L21 8"></path></svg></div><span class="tree-item-title">Settings</span></a></div><div class="tree-item-children" style="display:none"><div class="tree-item mod-tree-folder mod-collapsible is-collapsed" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link"><div class="tree-item-icon collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle"><path d="M3 8L12 17L21 8"></path></svg></div><span class="tree-item-title">Prefix inference</span></a></div><div class="tree-item-children" style="display:none"><div class="tree-item mod-tree-file" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="settings/prefix-inference/5.6-sample-note.html"><span class="tree-item-title">5.6. Sample note</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="settings/prefix-inference/prefix-inference.html"><span class="tree-item-title">Prefix inference</span></a></div><div class="tree-item-children"></div></div></div></div><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="settings/local-settings.html"><span class="tree-item-title">Local settings</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="settings/profiles.html"><span class="tree-item-title">Profiles</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="settings/settings.html"><span class="tree-item-title">Settings</span></a></div><div class="tree-item-children"></div></div></div></div><div class="tree-item mod-tree-folder mod-collapsible is-collapsed" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link"><div class="tree-item-icon collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle"><path d="M3 8L12 17L21 8"></path></svg></div><span class="tree-item-title">Theorem callouts</span></a></div><div class="tree-item-children" style="display:none"><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="theorem-callouts/styling.html"><span class="tree-item-title">Styling</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="theorem-callouts/theorem-callouts.html"><span class="tree-item-title">Theorem callouts</span></a></div><div class="tree-item-children"></div></div></div></div><div class="tree-item mod-tree-file" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="clever-referencing.html"><span class="tree-item-title">Clever referencing</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="commands.html"><span class="tree-item-title">Commands</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="credits.html"><span class="tree-item-title">Credits</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="equations.html"><span class="tree-item-title">Equations</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="index.html"><span class="tree-item-title">index</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="migration-from-math-booster-version-1.html"><span class="tree-item-title">Migration from Math Booster version 1</span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-tree-file" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="proof-environment.html"><span 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class="markdown-preview-sizer markdown-preview-section" style="min-height:577px"><div class="markdown-preview-pusher" style="width:1px;height:.1px;margin-bottom:0"></div><div class="mod-header"></div><div class="heading-wrapper"><h1 data-heading="Equations" class="heading" id="Equations"><div class="heading-before"></div>Equations<div class="heading-after">...</div></h1><div class="heading-children"><div><p>With this plugin, you can get your equations automatically numbered and reference them by their equation numbers,<sup data-footnote-id="fnref-1-8dcf74d1e28e82d5" class="footnote-ref" id="fnref-1-8dcf74d1e28e82d5"><a href="#fn-1-8dcf74d1e28e82d5" class="footnote-link" target="_self" rel="noopener">[1]</a></sup> just as in <span class="math math-inline is-loaded"><mjx-container class="MathJax" jax="CHTML"><mjx-math class="MJX-TEX" style="width:2.781em"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-mspace style="margin-right:-.325em"></mjx-mspace><mjx-mpadded><mjx-block style="margin:.21em 0 0;position:relative"><mjx-rbox style="left:0;top:-.21em"><mjx-texatom texclass="ORD"><mjx-mstyle size="s"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D434 TEX-I"></mjx-c></mjx-mi></mjx-texatom></mjx-mstyle></mjx-texatom></mjx-rbox></mjx-block></mjx-mpadded><mjx-mspace style="margin-right:-.17em"></mjx-mspace><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D447 TEX-I"></mjx-c></mjx-mi><mjx-mspace style="margin-right:-.14em"></mjx-mspace><mjx-mpadded><mjx-block style="margin:-.216em 0 .215em;position:relative"><mjx-rbox style="left:0;top:.215em"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D438 TEX-I"></mjx-c></mjx-mi></mjx-texatom></mjx-rbox></mjx-block></mjx-mpadded><mjx-mspace style="margin-right:-.115em"></mjx-mspace><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D44B TEX-I"></mjx-c></mjx-mi></mjx-math></mjx-container></span>.</p></div><div></div><div><p>By default, this plugin only numbers equations with backlinks (i.e. the ones that are referenced elsewhere). Alternatively, you can number all equations by turning off the option <code>Equations - numbering &gt; Number only referenced equations</code>.</p></div><div><div data-callout-metadata="" data-callout-fold="" data-callout="remark" class="callout node-insert-event theorem-callout theorem-callout-en theorem-callout-remark theorem-callout-framed"><div class="callout-title"><div class="callout-icon"><svg height="16" style="width:16px;max-width:100%"></svg></div><div class="callout-title-inner"><span class="theorem-callout-main-title">Remark 1</span> <span class="theorem-callout-subtitle">(Back-embeds)</span>.</div></div><div class="callout-content"><p>An equation is not numbered when it has backlinks but all of them are embeds. This is intentional, but you can <a data-tooltip-position="top" aria-label="https://github.com/RyotaUshio/obsidian-latex-theorem-equation-referencer/issues" rel="noopener" class="external-link" href="https://github.com/RyotaUshio/obsidian-latex-theorem-equation-referencer/issues" target="_blank">send a feature request</a> if you want embeds to be counted as backlinks too.</p></div></div></div><div class="heading-wrapper"><h2 data-heading="Examples" class="heading" id="Examples"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div>Examples<div class="heading-after">...</div></h2><div class="heading-children"><div><p>Suppose you have these three equations:</p></div><div><div class="block-language-col"><div class="columnParent"><div class="columnChild" style="flex-grow:1;flex-basis:100px;width:100px"><div class="block-language-col-md" style="margin-top:0;margin-bottom:0"><div style="margin-top:0;margin-bottom:0"><p style="margin-top:0"><strong style="margin-top:0">Source:</strong></p><pre style="margin-bottom:0"><code>$$
f(x)
$$
$$
g(x) \tag{$\ast$}
$$
$$
h(x)
$$
</code><button class="copy-code-button" style="margin-bottom:0">Copy</button></pre></div></div></div><div class="columnChild" style="flex-grow:1;flex-basis:100px;width:100px"><div class="block-language-col-md" style="margin-top:0;margin-bottom:0"><div style="margin-top:0;margin-bottom:0"><p style="margin-top:0"><strong style="margin-top:0">Rendered:</strong></p><p style="margin-bottom:0"><span alt="Equations-20231118084238497.webp" 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"></span></p></div></div></div></div></div></div><div><p>Now, insert a link to the last equation <span class="math math-inline is-loaded"><mjx-container class="MathJax" jax="CHTML"><mjx-math class="MJX-TEX"><mjx-mi class="mjx-i"><mjx-c class="mjx-c210E TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo></mjx-math></mjx-container></span>. Then, you will see the equation number <code>(1)</code> is xautomatically added to the equation and the inserted link is displayed with the corresponding equation number.</p></div><div><div class="block-language-col"><div class="columnParent"><div class="columnChild" style="flex-grow:1;flex-basis:100px;width:100px"><div class="block-language-col-md" style="margin-top:0;margin-bottom:0"><div style="margin-top:0;margin-bottom:0"><p style="margin-top:0"><strong style="margin-top:0">Source:</strong></p><pre style="margin-bottom:0"><code>$$
f(x)
$$
$$
g(x) \tag{$\ast$}
$$
$$
h(x)
$$
Link to $h(x)$: [[#^934f5c]]
</code><button class="copy-code-button" style="margin-bottom:0">Copy</button></pre></div></div></div><div class="columnChild" style="flex-grow:1;flex-basis:100px;width:100px"><div class="block-language-col-md" style="margin-top:0;margin-bottom:0"><div style="margin-top:0;margin-bottom:0"><p style="margin-top:0"><strong style="margin-top:0">Rendered:</strong></p><p style="margin-bottom:0"><span alt="Equation numbers-20231117195856635.webp" 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class="internal-embed media-embed image-embed is-loaded" style="margin-bottom:0"><img alt="Equation numbers-20231117195856635.webp" 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"></span></p></div></div></div></div></div></div><div><p>But we can do this without any plugins, right? All we have to do is just adding a <a data-tooltip-position="top" aria-label="https://help.obsidian.md/Linking+notes+and+files/Internal+links#Change+the+link+display+text" rel="noopener" class="external-link" href="https://help.obsidian.md/Linking+notes+and+files/Internal+links#Change+the+link+display+text" target="_blank">display text</a> manually, like so: <code>[[#^934f5c|(1)]]</code>.</p></div><div><p>The problem of this naive approach is that the display text <code>(1)</code> will be never updated. What if we add a link to the first equation <span class="math math-inline is-loaded"><mjx-container class="MathJax" jax="CHTML"><mjx-math class="MJX-TEX"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D453 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo></mjx-math></mjx-container></span>?</p></div><div><p>...Well, this plugin does it right!</p></div><div><div class="block-language-col"><div class="columnParent"><div class="columnChild" style="flex-grow:1;flex-basis:100px;width:100px"><div class="block-language-col-md" style="margin-top:0;margin-bottom:0"><div style="margin-top:0;margin-bottom:0"><p style="margin-top:0"><strong style="margin-top:0">Source:</strong></p><pre style="margin-bottom:0"><code>$$
f(x)
$$
^05ce41
$$
g(x) \tag{$\ast$}
$$
$$
h(x)
$$
^934f5c
Link to $h(x)$: [[#^934f5c]]
Link to $f(x)$: [[#^05ce41]]
</code><button class="copy-code-button" style="margin-bottom:0">Copy</button></pre></div></div></div><div class="columnChild" style="flex-grow:1;flex-basis:100px;width:100px"><div class="block-language-col-md" style="margin-top:0;margin-bottom:0"><div style="margin-top:0;margin-bottom:0"><p style="margin-top:0"><strong style="margin-top:0">Rendered:</strong></p><p style="margin-bottom:0"><span alt="Equation numbers-20231117195938005.webp" 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" class="internal-embed media-embed image-embed is-loaded" style="margin-bottom:0"><img alt="Equation numbers-20231117195938005.webp" 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"></span></p></div></div></div></div></div></div><div><p>Note that linking to the second equation <span class="math math-inline is-loaded"><mjx-container class="MathJax" jax="CHTML"><mjx-math class="MJX-TEX"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D454 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo></mjx-math></mjx-container></span>doesn't affect the numbers of other equations, because it has manually specified <code>\tag{...}</code> and this plugin respects it.</p></div><div><div class="block-language-col"><div class="columnParent"><div class="columnChild" style="flex-grow:1;flex-basis:100px;width:100px"><div class="block-language-col-md" style="margin-top:0;margin-bottom:0"><div style="margin-top:0;margin-bottom:0"><p style="margin-top:0"><strong style="margin-top:0">Source:</strong></p><pre style="margin-bottom:0"><code>$$
f(x)
$$
^05ce41
$$
g(x) \tag{$\ast$}
$$
^f16880
$$
h(x)
$$
^934f5c
Link to $h(x)$: [[#^934f5c]]
Link to $f(x)$: [[#^05ce41]]
Link to $g(x)$: [[#^f16880]]
</code><button class="copy-code-button" style="margin-bottom:0">Copy</button></pre></div></div></div><div class="columnChild" style="flex-grow:1;flex-basis:100px;width:100px"><div class="block-language-col-md" style="margin-top:0;margin-bottom:0"><div style="margin-top:0;margin-bottom:0"><p style="margin-top:0"><strong style="margin-top:0">Rendered:</strong></p><p style="margin-bottom:0"><span alt="Equation numbers-20231117200012405.webp" 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" class="internal-embed media-embed image-embed is-loaded" style="margin-bottom:0"><img alt="Equation numbers-20231117200012405.webp" 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"></span></p></div></div></div></div></div></div><div><p>Also observe that deleting these links remove the equation numbers.</p></div></div></div><div class="heading-wrapper"><h2 data-heading="Adding metadata with comments" class="heading" id="Adding_metadata_with_comments"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div>Adding metadata with comments<div class="heading-after">...</div></h2><div class="heading-children"><div><p>Just like for <a data-tooltip-position="top" aria-label="Theorem callouts > Adding metadata with comments" data-href="Theorem callouts#Adding metadata with comments" href="Theorem callouts#Adding metadata with comments" class="original-internal-link" target="_blank" rel="noopener" style="display:none">theorem callouts</a><a data-tooltip-position="top" aria-label="Theorem callouts > Adding metadata with comments" data-href="Theorem callouts#Adding metadata with comments" href="theorem-callouts/theorem-callouts.html#Adding_metadata_with_comments" class="internal-link mathLink-internal-link" target="_self" rel="noopener">theorem callouts</a>, you can attach some metadata to each equation via <span class="math math-inline is-loaded"><mjx-container class="MathJax" jax="CHTML"><mjx-math class="MJX-TEX" style="width:2.781em"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-mspace style="margin-right:-.325em"></mjx-mspace><mjx-mpadded><mjx-block style="margin:.21em 0 0;position:relative"><mjx-rbox style="left:0;top:-.21em"><mjx-texatom texclass="ORD"><mjx-mstyle size="s"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D434 TEX-I"></mjx-c></mjx-mi></mjx-texatom></mjx-mstyle></mjx-texatom></mjx-rbox></mjx-block></mjx-mpadded><mjx-mspace style="margin-right:-.17em"></mjx-mspace><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D447 TEX-I"></mjx-c></mjx-mi><mjx-mspace style="margin-right:-.14em"></mjx-mspace><mjx-mpadded><mjx-block style="margin:-.216em 0 .215em;position:relative"><mjx-rbox style="left:0;top:.215em"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D438 TEX-I"></mjx-c></mjx-mi></mjx-texatom></mjx-rbox></mjx-block></mjx-mpadded><mjx-mspace style="margin-right:-.115em"></mjx-mspace><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D44B TEX-I"></mjx-c></mjx-mi></mjx-math></mjx-container></span>comments (<code>% ...</code>) with a yaml-like key-value pair syntax (<code>key: value</code>).</p></div><div><p>The currently available keys are <code>label</code> and <code>display</code>. They are also available for theorems, and their functionalities are also the same as the theorem counterparts.</p></div><div class="heading-wrapper"><h3 data-heading="`label`" class="heading" id="`label`"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div><code>label</code><div class="heading-after">...</div></h3><div class="heading-children"><div><p>Has no effect for now. It might be used when exporting to Pandoc markdown or <span class="math math-inline is-loaded"><mjx-container class="MathJax" jax="CHTML"><mjx-math class="MJX-TEX" style="width:2.781em"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-mspace style="margin-right:-.325em"></mjx-mspace><mjx-mpadded><mjx-block style="margin:.21em 0 0;position:relative"><mjx-rbox style="left:0;top:-.21em"><mjx-texatom texclass="ORD"><mjx-mstyle size="s"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D434 TEX-I"></mjx-c></mjx-mi></mjx-texatom></mjx-mstyle></mjx-texatom></mjx-rbox></mjx-block></mjx-mpadded><mjx-mspace style="margin-right:-.17em"></mjx-mspace><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D447 TEX-I"></mjx-c></mjx-mi><mjx-mspace style="margin-right:-.14em"></mjx-mspace><mjx-mpadded><mjx-block style="margin:-.216em 0 .215em;position:relative"><mjx-rbox style="left:0;top:.215em"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D438 TEX-I"></mjx-c></mjx-mi></mjx-texatom></mjx-rbox></mjx-block></mjx-mpadded><mjx-mspace style="margin-right:-.115em"></mjx-mspace><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D44B TEX-I"></mjx-c></mjx-mi></mjx-math></mjx-container></span>is supported in the future.</p></div></div></div><div class="heading-wrapper"><h3 data-heading="`display`" class="heading" id="`display`"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div><code>display</code><div class="heading-after">...</div></h3><div class="heading-children"><div><p>When set, all links to this equation are displayed with this text instead of its equation number (see also: <a data-href="Clever referencing" href="Clever referencing" class="original-internal-link" target="_blank" rel="noopener" style="display:none">Clever referencing</a><a data-href="Clever referencing" href="clever-referencing.html" class="internal-link mathLink-internal-link" target="_self" rel="noopener">Clever referencing</a>).</p></div></div></div></div></div><div class="heading-wrapper"><h2 data-heading="Remarks" class="heading" id="Remarks"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div>Remarks<div class="heading-after">...</div></h2><div class="heading-children"><div class="heading-wrapper"><h3 data-heading="About markdown links" class="heading" id="About_markdown_links"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div>About markdown links<div class="heading-after">...</div></h3><div class="heading-children"><div><p>If you are turning off <code>Use [[Wikilinks]]</code> in the app settings, you will have to the <a class="internal-link is-unresolved" data-href="suggest" href="suggest" target="_self" rel="noopener">live suggestion</a> feature provided by this plugin instead of Obsidian's built-in <code>[[</code> suggestion. This is because the built-in suggestion generates markdown links (i.e. <code>[]()</code>) in this case, but they are not suitable for dynamically updating the displayed text.</p></div></div></div><div class="heading-wrapper"><h3 data-heading="Spacing" class="heading" id="Spacing"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div>Spacing<div class="heading-after">...</div></h3><div class="heading-children"><div><p>You must include at least one line break between <code>$$ ... $$</code> if you want the equation to be numbered.<br>Otherwise, Obsidian will not recognize it as a math block.</p></div><div><p>In other words:</p></div><div><pre class="language-latex" tabindex="0"><code class="language-latex is-loaded">Good
<span class="token equation string">$$
f(x)
$$</span>
Good
<span class="token equation string">$$f(x)
$$</span>
Good
<span class="token equation string">$$
f(x)$$</span>
Bad
<span class="token equation string">$$f(x)$$</span>
</code><button class="copy-code-button">Copy</button></pre></div><div><p>Also, make sure there is an empty line under the block ID of the equation. Again, this is needed due to how Obsidian works. You can enforce this using the <a data-tooltip-position="top" aria-label="obsidian://show-plugin?id=obsidian-linter" rel="noopener" class="external-link" href="obsidian://show-plugin?id=obsidian-linter" target="_blank">Linter</a> plugin's rule "<a data-tooltip-position="top" aria-label="https://platers.github.io/obsidian-linter/settings/spacing-rules/#empty-line-around-math-blocks" rel="noopener" class="external-link" href="https://platers.github.io/obsidian-linter/settings/spacing-rules/#empty-line-around-math-blocks" target="_blank">Empty Line Around Math Blocks</a>."</p></div></div></div><div class="heading-wrapper"><h3 data-heading="Equations in callouts/blocks" class="heading" id="Equations_in_callouts/blocks"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div>Equations in callouts/blocks<div class="heading-after">...</div></h3><div class="heading-children"><div><p>You cannot insert a link to equations in callouts or blockquotes.<br>This is an inherent limitation of Obsidian rather than this plugin.</p></div></div></div><div class="heading-wrapper"><h3 data-heading="PDF export" class="heading" id="PDF_export"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div>PDF export<div class="heading-after">...</div></h3><div class="heading-children"><div><p>In version 2, equation numbers are expected to be successfully printed in PDF exports. Being a new feature, however, there might be some corner cases where it doesn't work perfectly.</p></div><div><p>If equation number printing is not successful, this plugin will show you a notification. In that case, you can run the command <code>Convert equation numbers in the current note to static \tag{}</code> to explicitly insert the equation numbers as static LaTeX tags (<code>\tag{...}</code>) as a quick fix.</p></div><div><p>Make sure you make a backup before running this command and undo the tag insertion after exporting finishes so that your equations can be dynamically numbered again.</p></div></div></div><div class="heading-wrapper"><h3 data-heading="The `align` Environment" class="heading" id="The_`align`_Environment"><div class="heading-before"></div><div class="heading-collapse-indicator collapse-indicator collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle" style="width:24px;max-width:100%"><path d="M3 8L12 17L21 8"></path></svg></div>The <code>align</code> Environment<div class="heading-after">...</div></h3><div class="heading-children"><div><p>You can choose whether multi-line equations in an <code>align</code> environment are numbered <em>collectively as a group</em>:</p></div><div><p><span alt="Equations-20231119011206241.webp" src="data:image/webp;base64,UklGRrAUAABXRUJQVlA4WAoAAAAgAAAArwYAXwIASUNDUMgBAAAAAAHIAAAAAAQwAABtbnRyUkdCIFhZWiAH4AABAAEAAAAAAABhY3NwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAA9tYAAQAAAADTLQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAlkZXNjAAAA8AAAACRyWFlaAAABFAAAABRnWFlaAAABKAAAABRiWFlaAAABPAAAABR3dHB0AAABUAAAABRyVFJDAAABZAAAAChnVFJDAAABZAAAAChiVFJDAAABZAAAAChjcHJ0AAABjAAAADxtbHVjAAAAAAAAAAEAAAAMZW5VUwAAAAgAAAAcAHMAUgBHAEJYWVogAAAAAAAAb6IAADj1AAADkFhZWiAAAAAAAABimQAAt4UAABjaWFlaIAAAAAAAACSgAAAPhAAAts9YWVogAAAAAAAA9tYAAQAAAADTLXBhcmEAAAAAAAQAAAACZmYAAPKnAAANWQAAE9AAAApbAAAAAAAAAABtbHVjAAAAAAAAAAEAAAAMZW5VUwAAACAAAAAcAEcAbwBvAGcAbABlACAASQBuAGMALgAgADIAMAAxADZWUDggwhIAADAYAZ0BKrAGYAI+kUiiTKWko6IgU2gosBIJaW7hd2EfAiG0vu7Y/ngX8D47/UvuP/ynSz+ppNthr7GfvfXj2M8Av8c/p+6ngA+qne7alnh32AP1b9MO92819gL+Tf2L/s+olne+uPYW6P37Yf//3Kv2xApHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2obafuewPMVC8sA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA9wFH/LQa6boaHv9KAR/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2ocwcCx7aeZjnYAynH+HzUZt0QM5lG3awFSalqLOAqeqWB0u9UBwiQimYl/x79CBtFhECEVfLAPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT/PzoVfZnvu3/0mCdc6TCis33ySYRUUSBgF/R6pM8qm/hFBOHXAmCYvfkEWYIpEBir5YB7qf6NqHOMoB7qf6NiJ/yhg5UmKFxdT/RtQ5xlAPdT/RtQ5xlAPdT/RsRuogHQPzXV0vEJ2E20AolAGTGhj7qEneiZ371hGL1wh3Enup/o2oc4ygHup/o2obagu4UU49ravnNUXKQLcY3F4RzCoFv24NGRDL+nD3U/0bUOcZQD3U/0bUOcZQD3U/0bUwCwD3Vqf4XlgHup/o2oc4ygHup/oxLXc6S9jRVFDFqtix3KDfwYB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoBoeckMpWEvPUOJyvq+WAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjIbXS7huSNIF/ws/YBiAT0BGMWlKBe6O99yjahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jEy4i7BNVu73imKYoQAwRLBDPG5tdbJPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQY27QcTwUrSmDNBCRuOS0oiGyKg6lE/fivBhgEpT7HV8sA91P9G1DnGUA91P9G0s0opY2GB1QNiTUs8Iq+WAe6n+jahzjKAe6n+jahzjKAe6n95KPFL2laU1HK8iQu70uNbQfuAE63YmPAO4k91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGhtmZOIAJOMQEZ1hIhzkuDGn7JJ7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qgFsjnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G0sNddSN4q8SpgEh3DTto3rCoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMn+nRJyNWnbEXcHApnJWMnXEGrMXHUwyWkC6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6ZF0Sjg8RMcztNPh9m7PnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnFw4ZAYpAqCwJewHrTyhWFb0/0bUOcZQD3U/0bUOcZQD3U/0bUOcZQD3U/0bUOcZQD3U/0bUOcZQD3U1HxGjzhNx7yBgUaYViBzlNlkuAcxbFmzFNT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT7mGRBn9ummBE/ABUngDS5Mtnup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHurk173F1P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91PuAAD+/8FwAAAAAAAAAAAAAAAAAAAAAAGEBUFvZ1SvHvxfzd8567XXTNvfMRyz/qUVNmO6txoAAB0qqynYJe2yb88oYL83iYcyT2l1abUxWhDsGdre3Sch8B4IvM1dCnqK/vtp+0atn/cBtkhlRlgAABnZkhAuZi6FSjxU/rlcyR7a8shGhR+l7Tpi8pWGHF62cHHZvt98BYa110C0eweYg81WIl291fRfhGHBfpaE3USrvt6BMzLrMM1C+wa9mw9bJe3Oj/X+OllHIJn5OWYiLbT0Z3L+08W2iVhf9UDdL8Q+inHwBOeqYuk5Obb6gQf6UbtwlHtT2uarZCODu2U2RITParsqe83EQZ0eHB3SUuFsBY39PRLIJR+R5Id8Sn+RverUdLHNYBXF2qJzGATt/t2jfhE/dQAq3PFmRGMA6yF6nUfATeqid8/XSAxDXFHhzwuquqWGTb9ehXb+lSFSsT7vr8EZTQpE6ST8Sz4TF9LqmyChxUBAS19CjJfihtV1BLa/KQAAQpCPQWqeublnCne3LyZpIyAqWVtwZ0nCQGUIoq6ZmEyXrTokt5r7lU6lBpduRDitBa4jUb88uIQ67ceAWQ9dKvPg/b4n0/R+A0p4hSbiFSWt4N/d3GtKlWLlz714yULqj5p5/nzheK4F3F1rk+JM6JvPBZtF5UDB/JzDoXd+r21pxGa9ISm46jajDjIVDnuB3dT2Pl2WU9ZGDA+qLG49LdboQJK4LIT0JcJD9zGhlzT9m4yFWtvdsTtMvjxiTAVgoC9/eVy1pMBp02XFO/vXV8oYKJvhyGE6ux8KVlZLMhlXfThu4jzTiMEtVTlXtM0VAAAtfyD8h+nUpFmQIgRgSg3X0zcRKOWYzbRH9LP2IBSk9nS2IOTbTIRa/q2P8hoAciXeUPoOz3c3PeYsDwStZu1MqWQnP1DzodUNxMxnT3vH0ffA5eAeUvUZUdU+xX7GJG3lprZfxtXqlv1CcmtBrMKC+VnUxfJStZ9yAnID4h7FVJXNwsg24G559Ry/O3DxNONjR1N/KHvSFl1g1EEt0MH8+QIdlYosPEaxTsDrQh6sKhzIA+15aJza3fbA8hh5cmB0G6kG4KlVZNVQdU9uk3x9dEaRl/pER7VydsP0A5DhsqF1WG2x53f0wxkqDG0IqH968Ns841atFqDLnNbne1IQ5uhXEqA+hoKhAhCWtliEbn2mP4FH+46kAE1GxOpSBhTAwTAE3awOQKhKfv3Nizw6ue1dDCqdUBe5kHiw+40DKNoWR7I5MTy8/v9FjOWUDTalvo1jUM6YgrXn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class="internal-embed media-embed image-embed is-loaded"><img alt="Equations-20231119011206241.webp" src="data:image/webp;base64,UklGRrAUAABXRUJQVlA4WAoAAAAgAAAArwYAXwIASUNDUMgBAAAAAAHIAAAAAAQwAABtbnRyUkdCIFhZWiAH4AABAAEAAAAAAABhY3NwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAA9tYAAQAAAADTLQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAlkZXNjAAAA8AAAACRyWFlaAAABFAAAABRnWFlaAAABKAAAABRiWFlaAAABPAAAABR3dHB0AAABUAAAABRyVFJDAAABZAAAAChnVFJDAAABZAAAAChiVFJDAAABZAAAAChjcHJ0AAABjAAAADxtbHVjAAAAAAAAAAEAAAAMZW5VUwAAAAgAAAAcAHMAUgBHAEJYWVogAAAAAAAAb6IAADj1AAADkFhZWiAAAAAAAABimQAAt4UAABjaWFlaIAAAAAAAACSgAAAPhAAAts9YWVogAAAAAAAA9tYAAQAAAADTLXBhcmEAAAAAAAQAAAACZmYAAPKnAAANWQAAE9AAAApbAAAAAAAAAABtbHVjAAAAAAAAAAEAAAAMZW5VUwAAACAAAAAcAEcAbwBvAGcAbABlACAASQBuAGMALgAgADIAMAAxADZWUDggwhIAADAYAZ0BKrAGYAI+kUiiTKWko6IgU2gosBIJaW7hd2EfAiG0vu7Y/ngX8D47/UvuP/ynSz+ppNthr7GfvfXj2M8Av8c/p+6ngA+qne7alnh32AP1b9MO92819gL+Tf2L/s+olne+uPYW6P37Yf//3Kv2xApHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2obafuewPMVC8sA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA9wFH/LQa6boaHv9KAR/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2ocwcCx7aeZjnYAynH+HzUZt0QM5lG3awFSalqLOAqeqWB0u9UBwiQimYl/x79CBtFhECEVfLAPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT/PzoVfZnvu3/0mCdc6TCis33ySYRUUSBgF/R6pM8qm/hFBOHXAmCYvfkEWYIpEBir5YB7qf6NqHOMoB7qf6NiJ/yhg5UmKFxdT/RtQ5xlAPdT/RtQ5xlAPdT/RsRuogHQPzXV0vEJ2E20AolAGTGhj7qEneiZ371hGL1wh3Enup/o2oc4ygHup/o2obagu4UU49ravnNUXKQLcY3F4RzCoFv24NGRDL+nD3U/0bUOcZQD3U/0bUOcZQD3U/0bUwCwD3Vqf4XlgHup/o2oc4ygHup/oxLXc6S9jRVFDFqtix3KDfwYB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoBoeckMpWEvPUOJyvq+WAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjIbXS7huSNIF/ws/YBiAT0BGMWlKBe6O99yjahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jEy4i7BNVu73imKYoQAwRLBDPG5tdbJPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQY27QcTwUrSmDNBCRuOS0oiGyKg6lE/fivBhgEpT7HV8sA91P9G1DnGUA91P9G0s0opY2GB1QNiTUs8Iq+WAe6n+jahzjKAe6n+jahzjKAe6n95KPFL2laU1HK8iQu70uNbQfuAE63YmPAO4k91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGhtmZOIAJOMQEZ1hIhzkuDGn7JJ7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qgFsjnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G0sNddSN4q8SpgEh3DTto3rCoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMoB7qf6NqHOMn+nRJyNWnbEXcHApnJWMnXEGrMXHUwyWkC6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6n+jahzjKAe6ZF0Sjg8RMcztNPh9m7PnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnFw4ZAYpAqCwJewHrTyhWFb0/0bUOcZQD3U/0bUOcZQD3U/0bUOcZQD3U/0bUOcZQD3U/0bUOcZQD3U1HxGjzhNx7yBgUaYViBzlNlkuAcxbFmzFNT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT/RtQ5xlAPdT7mGRBn9ummBE/ABUngDS5Mtnup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHup/o2oc4ygHurk173F1P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91P9G1DnGUA91PuAAD+/8FwAAAAAAAAAAAAAAAAAAAAAAGEBUFvZ1SvHvxfzd8567XXTNvfMRyz/qUVNmO6txoAAB0qqynYJe2yb88oYL83iYcyT2l1abUxWhDsGdre3Sch8B4IvM1dCnqK/vtp+0atn/cBtkhlRlgAABnZkhAuZi6FSjxU/rlcyR7a8shGhR+l7Tpi8pWGHF62cHHZvt98BYa110C0eweYg81WIl291fRfhGHBfpaE3USrvt6BMzLrMM1C+wa9mw9bJe3Oj/X+OllHIJn5OWYiLbT0Z3L+08W2iVhf9UDdL8Q+inHwBOeqYuk5Obb6gQf6UbtwlHtT2uarZCODu2U2RITParsqe83EQZ0eHB3SUuFsBY39PRLIJR+R5Id8Sn+RverUdLHNYBXF2qJzGATt/t2jfhE/dQAq3PFmRGMA6yF6nUfATeqid8/XSAxDXFHhzwuquqWGTb9ehXb+lSFSsT7vr8EZTQpE6ST8Sz4TF9LqmyChxUBAS19CjJfihtV1BLa/KQAAQpCPQWqeublnCne3LyZpIyAqWVtwZ0nCQGUIoq6ZmEyXrTokt5r7lU6lBpduRDitBa4jUb88uIQ67ceAWQ9dKvPg/b4n0/R+A0p4hSbiFSWt4N/d3GtKlWLlz714yULqj5p5/nzheK4F3F1rk+JM6JvPBZtF5UDB/JzDoXd+r21pxGa9ISm46jajDjIVDnuB3dT2Pl2WU9ZGDA+qLG49LdboQJK4LIT0JcJD9zGhlzT9m4yFWtvdsTtMvjxiTAVgoC9/eVy1pMBp02XFO/vXV8oYKJvhyGE6ux8KVlZLMhlXfThu4jzTiMEtVTlXtM0VAAAtfyD8h+nUpFmQIgRgSg3X0zcRKOWYzbRH9LP2IBSk9nS2IOTbTIRa/q2P8hoAciXeUPoOz3c3PeYsDwStZu1MqWQnP1DzodUNxMxnT3vH0ffA5eAeUvUZUdU+xX7GJG3lprZfxtXqlv1CcmtBrMKC+VnUxfJStZ9yAnID4h7FVJXNwsg24G559Ry/O3DxNONjR1N/KHvSFl1g1EEt0MH8+QIdlYosPEaxTsDrQh6sKhzIA+15aJza3fbA8hh5cmB0G6kG4KlVZNVQdU9uk3x9dEaRl/pER7VydsP0A5DhsqF1WG2x53f0wxkqDG0IqH968Ns841atFqDLnNbne1IQ5uhXEqA+hoKhAhCWtliEbn2mP4FH+46kAE1GxOpSBhTAwTAE3awOQKhKfv3Nizw6ue1dDCqdUBe5kHiw+40DKNoWR7I5MTy8/v9FjOWUDTalvo1jUM6YgrXnJKbuFFMVjxx4N3a39Zkdn0esd5gUxnQb68JMep/1sslxA1tCKoGRMrJMGPwtLXNQyc0AAcAAcBgQ5zgAwFjQmOgqgLS6bopFe71ppABJ2+S5p/aj6ghcDskV0CwUqdPoNLA69kfqI9CD/jOqZ3USgUJnmShBuLlrgiqk4aT1nXhb0Bj/uhmaUIdmWVXvuZLYyFN9ET63xygAAJlrgRenw7vRBVinhW7W+8Z/v4RQV1YOMfPRxuzse2kIKBm+VoA3mOmVnBu+dGlrqnRm6pNoAABDxpxSDnQF50dZgibmqEmKnIvklRrm87uk+Th6HVq4DYdD57F3cahfyGgfzSA+QoF2cfvPIqngQq5zcL5R7KouContZD0kGpaw1jaYy1TgWeZ6XLnXchbYyrCKOwa3kJFBtQ1Jw/VFCeY7J7Ui6VO38E9gFeLagVztQ4pmZSdNDQ/QX2940AAAB9MH9G7RUpSuIqrQnqjFu8NZd4a0VHwawdqICu7rNyCAw1B/wPlPV9BO3hNCEiGKyLF7afBRxlmkFi717Gmb4+jOivlN3r6qhGThOcHj3tvESsfHfuojmDY5TL/09HaTkABdsLtbgLHgEIBCgyxuABBm/YA7acEGA5aZt6vyD/SMN9hmBdv+KI66QkFgjux/N96karfUlencUtFGQHvNXxpknCO0YLCzieDG5xhTUSXxYdHB8s3MP1QxvHP5I0sPMc/bZkrTrj7Cv7mFDYBXObLr/Z70dqMnisiEvf3Qn6h9TB7koxWWgrPrdDtQp/h1UPzlJx5AQeQyXn67smq7Educ4b5hdo+hY/phy9lLZ/BV8vacJl0NTxuuNAD37eRK17BwC+6u0XuQEVzWP5MrOtuJRZ7/PEImKFlSB2ty8EvMp3o+DQwQTob9+NkvSotOOuIkzf4AEJ+zKvrd9Qfk869xjP1rZ/MJ0ebWSrDhptsl5nnw1H9QGZCmMUuS5kXaav5OOyuHkauRRBHXRCgLItC+q6hmEuk+QXWnZrsrtExxiUGnnC190WltgfmRGNOjfQhjBSwxtxLIAAKgFmP3T1KPnR+FxyGPwKfk9Q0ZYXyD+kesEni6WFpPYnydeouXPuog4COrbjn/I18ehSlwSbnJfD9DpoXHmVwrOQj00a/PDri0tjRIbWCjOGYxFNN3O7SQuMyr+oIZnFxUbNaKGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJOkVD/j3hNCdbmruqrapf1o87FC5IVn7cP2PG+v+vOcYZ/R91Ji3l663pK9M+A4ITLY5XyQrMp+88/wOfH4vMw4IzmSeUNrU5fphMpV060f4kQVIj6XtzN3J3QurX+hzAAAGnhrl0nTB1C5ehTmljwBnce+pw8WPLClwa3LYhPD7g2ejytOfwqBI7meoTwNnaWIyNpASMVmOHzDKeR5/1Z3Q8+KtWmdHzH/pl4jJQ0qvwKli3txET+v87BI/AsKFSXFsZl5N4CQoYPu4IdmqqjA/GuRgMZ4MKCPsVdLaoyVTTxeuOev4VNfUSbpR2BWNh1YWSBjAAFp7+FvJOVeHzdBsZNsZxWaKgIlbUt5MgRI771fCDt58hJUuncXKfWupwwI/KGQlAYZ0I5MSFFpxA/MEzOMjeOf1kWgiLocBCRQ7QAABFQLPnzHj4jPP+ZV9AIoWZqmBssFCwryfMwB2LFDWCQgVyHwhl8fhl5SBWuI4EibgGeqsFUaPOrySj1LoAAAA8kgfccyoa1OEqzwX4MwhVurcoCG26faD6GpCoFjgQ6Vdxl0B+7684CxF/nohO/GIU3p4PnEqGwWtEEYo5CWGMUMXR7v0HgY/bMVVGq0prJHg2gOhhhtLrcMLXrJnZg2vaKuncBE5Bhz9EkN0EcQx6ERvGSi8sEaj/lYudaggKnHi9Oz2WpHjWJTgVBOChLhV9WPaOhOI+SiJatfu9gHY3BcAADnOwmCGIrm5d9vzV/pu8glg7d/zP+bATepCgy1QlOtFeOe7uvkWtqMWktw7NU5XWRd64EcOwWVgMIsJYtjnMIiULC3vQQCGnVs2K/+BOjC5QIWuKNgH3057nJeKAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"></span></p></div><div><p>or <em>individually</em>.</p></div><div><p><span alt="Equations-20231119011124511.webp" src="data:image/webp;base64,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5xYujgGw5CyKYdGg2qywyjQeLuyX19RF49CuYHAuMjz4mCS+Nu3rwjDwEuuXn93f8SsxoNMxPUqrphyNH8qDo9Z4Rh4Up5IK50xqqk6GGmf9kD/nJ7YuTT2sN4BERgDB2ns/7DuN4u3TSrE09J/9Owta/Npj7F1qL2oiyJMkv2xEUZUNNaQwq3xWOGvJj7mjZ3DHdb5w+xCp0nksm0FmsMTPMrvDPJqDBOw/P1Dqyji97DTThZuHK5NVu9+pHKdsXrIqJ2hC3WFF3siP0Q1nTnA8KpcxnJegWs3qw8n9IAmi+muptwEXwrTLIz+raD0W+Ig2bCqYh3+hZMvA+3qIBdeNimMBvNM1CR/H6xsx43U1/hG7oj1+u80x0nZ+OPuyp20PjGT+pQboRXo8BF/Cw0av5l7cNRLs3hg3OGaaeJsu6hYcGa0lPo85e39FkB3yX1xg9+PRTMXwwDyrRMZrFMsYzHm5QdVpNMjW4WxQQD92QYLdrA1keZV77fAwyeUxIkOJOGaVrnDsNXhsCa0ActIsqa8a0nfDgDxreOIvaTXgl6cBfJUt30rnWXE2pJk+6rcEle7K9xnY1kDsOkYlJnst3ZwDpRetkruEdCVV9mD27L6lwn568nQL90R3qFQuJOH+i7iLbnf/7VcKSxvKhPddzs41yzkBB1ACzfMf1ckj+g0tbVzgN9tZyxCUp3KK0GlPh/4Q5T0tAtZr2J4lXE8OsZtiHh4sPiL6L/xh132G68gniPkJ/upsYawgm/CeYS4zROqhGiN9PggAHzs3cnbe8g8LTK+Q6haGaVNX4OYyf0h5igVPIHEeYkhHDRxt5PslblOAC/JrDxgo8pXDMWU3t8+Yo4AzWsmzF5d4F4EyXXHkfjSQo/aQh+ogahCOlJk2w58hCd3jw5dvK9z/Y3wwspIj3Zwg3j8qnnRZRI3MDSyctFJrHa/RlNyiELPtCG9EqAQ0MvcnPv73BjTNHdimwDugAAJ287Vm6bSWELMnSDkpZMJVCjq1fc/HjbXnoUj9IdAWguhB7QqIbNfF/8ZxkGYQ3k9JbaJAMIUbQAAAQPADH12MTsLasHHyp2jyifNL6fFUmsFCME9YHxQAAgt1zMfo39D6O9BalUuMzFxUSzYcq7pDIZ3qVmwTAaboE0+8oiVlE1V8rIRSH6D6v3LoRqCCIfnQYQEIuNhQylg/tDqPPDWD6D/Skc4osuq6Dgcw5GqalfsaqhxJB2I16YYC3y3MFFauT0xbKUVgvW4K3sgcG4XfywTZeEM/yIh/bmlkAm1rPs5v9Y7FlU9Ic+A7Oyl2PCQEEzrRAKM1MnROyKMDkrD3CSF466Sik8DkXgLOLwUixzq6tSAysk08bLPBpmPi+SWo99LrQo5/Qip28Z2QuBmaQmA0sYkNfT06s5xyG4fZL3nFOC1l+Yx5KaLqjV8HUZipqwbScNwCEZ3Z+N091J3CPLoiS8cuaIsbJEUAE8JoX1p1pLIIH6IUS2V238XrnCEYxGSwG2UDeapqpGUQ6I49L5VvDrKZNrRkwmW1ZKZQaOPzFyj7sH2atKI4XPzvw6+vKb+FJWwXBjSAun9kbBRdxYghXJKx235DOd+4b8kadE9LXIHomoEkllhXre2gE4UcHdYLu3qBZAnzHpYSeGiOwlUHoaPWvCwRxp69kNvYi4QHg4F1t5GpefSOrWQbG3oJPfJXkebIIurO3FKGxSzIArthdXm00dp4dKtPCWh73IS08uor4/ktUh9mS5Z4GbiyCpujGsVh6/+2d9fgES7iJ/DNUHnVNyaQC2FGstyvNkonCKkMu36Sv6yDYICuuH+ANbP3Lxi/D/RnwKRAu1fau/h+sFTwzderx2Vko6icihPRNXi6c2X5NklDyUlsBYGZEYKJ6HrqxmEf4CMEWimJCWJmenkEHAd88suov7fmXBVrmUim+ITMjeJx5s39SgIRur3SiIJutJArjl4FY+32WmVD7kAMEF1NFG7TDDXW+n4g7uEYeAl1y8/jL/TQZ4WdGefNTLy1weHsALnU9u34ot7fXbljrmciXf3/aZhWlHKpm9Fhveir7TzgYQHrU5iJsBvu16Y6H/ydb5qdhJhSzHUxQeS0Gg0dPZ/ewJ0/7UKWY+TXpYcbBeMwwU5Qs4sTQIualPqVbdN1Wp5mtOF22z3azoAMKIMfLhZsAEN6qLzES9tgtu3PpDFO0I/hIZq/QzzfN5j5jYrwS5f/2SjJ46NbGOVCLEy2O2wVmAcexWVXAIneLipbpDhKa5Z4MIofuvBEebCDDPnk79UCWuq9f5/Kvc7v/SqBFxhWLfB8G8rppa78CFXqV3TfHcxsqUDLMJfAkrrnO9yIOWSvQwRWNDYeNd9Z+QkVEy/Ozmj4sitpUqEsR5m2Bznu70VN2R+fFY+xnQqZgaZqAugUHOpwR+fzOSOb5rn4IH3yndle4zsayB2HSMSkz2W7s4B0ovMXXHm9n8y1UClaDojTxWdylGSepzPciWTYYNXAAVXceWEgD8d6kscNgNdKcjx/zNt9LQxN906JpwR9DRGUiOiwN+yu+SQ45YjSY56lwWU/iFDrzdoMW8xHnzr+YH+WCJLu8N/6yg7hLD5fd5ZP9pAaHEDzx5FebwC5DR27hlmaEL5lsggq4LtGd5ZqG9KOLoL9lHqsL22DBRK+Zt5nU/3U2MNYQTfhPMJcZonVQjRG+nwQABIW7fpHqvBDlWwEkL+UUAA2toMzVTikAQN255Mjn6lI2Mwd5nQjrSr9BFw/6nG+Y9/vqMitlFTqaE6kIVpnLIhE1uyhR3BEBfz98vmx+qiWuB0VEgwbNGOFUwNLJy0Umsdr9GU3KIQs+0Ib0SoBDQy9yc+/vcGNM0d2KbAO6AAAnHnTLByfO0rqZm9dtK0HPYjjHLWLjZa0KHn2bxmMV3zVIJswbeeq75MS7dPc65vsstyhlsIUbQAAAAAAAAAAAAAAAAAAAAAACDuY2VJ9WPNZ3ibd2Y8pQK9K8qIszGTTBh4CEAABD/mTy/6TOYN0BvNRcNPHL4a9VUht0BgWlpMjCIGYUrp1ZpyBSsiScGDGd5HAY/NrNvT4NRUYOekBZp1mN/25I/935KR4dHZxs+C3vOvZL2mdhSyf6ZIrA1AQ88SfHGw7SChF7L9zsz6FsjowcG1IpmFhKGWqcuTButAGhHPF8G4rx8lbzOMNzju1ZMcaFBBYHDw0yWGDphF1+RfENrcXTbdhKaJu4AAEJvOH0iZHYcDb1cpfos1lirY8G3qS+Xm4EwkrTc2vVHTFx6EijF1G8A70LcUtTfiuUiTs4GxT7hNoxCT/10Z0Fq8eM7JlwynufR8AyUKCm5wImyHTUfE6kWs6QZWfxgydcdgAAE45jLW4jqa19GZHI6rkhm3kHxHY3HlePe9WdePOAVS8XgdiMDGPhpBQQDBiTidndkkIosN4QAAAwfOztfJHZ6Lr1IaXVsG40zu5JWhrD6sQrZHatPbY8AUoOYVOMzGkDfdhbC+1EMk3+DfhpaR2srONlGEMTjIgtlEziL8dOMtb76g5NauEURd+fncOwew1s5AyXVxHWqn5hZRO8jMOPcYGsgx8UaQifN262i5NmhNeeVTz4Y9GdRgp9xjIpETTTlzFumj67NKDn8DBFZPAAAiggceWoul7n1EUOJryN6c0KCEOX8hcWI4qSHnh5k/NtS6od9vN8kwgIOY3sySpStIeACfOVzpnCmvPgkCCaAz5OPwYhQmPH3UnEM4stUiMJiQrR3Ic0LGorKddLzRKd84hq/L4q4W9ovFAxw+JDAAABfeYsD4ZBjjpOj1Z2rC2qvPCvdEFK+Z8qXXaWt4kLArMtH2F4hfpOy3wAAAAAAAAAAAAAAAAAAAA"></span></p></div><div><p>Go to the <code>Number line by line in align</code> section in the plugin preferences to change the current setting.</p></div><div><p>When <code>Number line by line in align</code> is turned on, you can exclude a line from numbering by inserting <code>\nonumber</code>, just like in <span class="math math-inline is-loaded"><mjx-container class="MathJax" jax="CHTML"><mjx-math class="MJX-TEX" style="width:2.781em"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43F TEX-I"></mjx-c></mjx-mi><mjx-mspace style="margin-right:-.325em"></mjx-mspace><mjx-mpadded><mjx-block style="margin:.21em 0 0;position:relative"><mjx-rbox style="left:0;top:-.21em"><mjx-texatom texclass="ORD"><mjx-mstyle size="s"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D434 TEX-I"></mjx-c></mjx-mi></mjx-texatom></mjx-mstyle></mjx-texatom></mjx-rbox></mjx-block></mjx-mpadded><mjx-mspace style="margin-right:-.17em"></mjx-mspace><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D447 TEX-I"></mjx-c></mjx-mi><mjx-mspace style="margin-right:-.14em"></mjx-mspace><mjx-mpadded><mjx-block style="margin:-.216em 0 .215em;position:relative"><mjx-rbox style="left:0;top:.215em"><mjx-texatom texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D438 TEX-I"></mjx-c></mjx-mi></mjx-texatom></mjx-rbox></mjx-block></mjx-mpadded><mjx-mspace style="margin-right:-.115em"></mjx-mspace><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D44B TEX-I"></mjx-c></mjx-mi></mjx-math></mjx-container></span>.</p></div><div></div><div><section class="footnotes"><hr><ol><li data-line="-235" data-footnote-id="fn-1-8dcf74d1e28e82d5" id="fn-1-8dcf74d1e28e82d5">It was one of Obsidian's <a data-tooltip-position="top" aria-label="https://forum.obsidian.md/t/automatic-equation-numbering-latex-math/1325" rel="noopener" class="external-link" href="https://forum.obsidian.md/t/automatic-equation-numbering-latex-math/1325" target="_blank">long-standing</a> problems.<a href="#fnref-1-8dcf74d1e28e82d5" class="footnote-backref footnote-link" target="_self" rel="noopener">↩︎</a></li></ol></section></div><div class="mod-footer"></div></div></div></div></div></div></div></div></div></div><div class="sidebar-right sidebar"><div class="sidebar-gutter"><div class="clickable-icon sidebar-collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" width="100%" height="100%" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="3" stroke-linecap="round" stroke-linejoin="round" class="svg-icon"><path d="M21 3H3C1.89543 3 1 3.89543 1 5V19C1 20.1046 1.89543 21 3 21H21C22.1046 21 23 20.1046 23 19V5C23 3.89543 22.1046 3 21 3Z"></path><path d="M10 4V20"></path><path d="M4 7H7"></path><path d="M4 10H7"></path><path d="M4 13H7"></path></svg></div></div><div class="sidebar-container"><div class="sidebar-sizer"><div class="sidebar-content-positioner"><div class="sidebar-content"><div class="graph-view-wrapper"><div class="sidebar-section-header">Interactive Graph</div><div class="graph-view-placeholder"><div class="graph-view-container"><div class="graph-icon graph-expand" role="button" aria-label="Expand" data-tooltip-position="top"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon"><line x1="7" y1="17" x2="17" y2="7"></line><polyline points="7 7 17 7 17 17"></polyline></svg></div><canvas id="graph-canvas" width="512px" height="512px"></canvas></div></div></div><div class="tree-container outline-tree" data-depth="0"><div class="tree-header"><span class="sidebar-section-header">Table Of Contents</span><button class="clickable-icon collapse-tree-button"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"></svg></button></div><div class="tree-scroll-area"><div class="tree-item" data-depth="1"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#Equations"><span class="tree-item-title"><p>Equations</p></span></a></div><div class="tree-item-children"><div class="tree-item" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#Examples"><span class="tree-item-title"><p>Examples</p></span></a></div><div class="tree-item-children"></div></div><div class="tree-item mod-collapsible" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#Adding_metadata_with_comments"><div class="tree-item-icon collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle"><path d="M3 8L12 17L21 8"></path></svg></div><span class="tree-item-title"><p>Adding metadata with comments</p></span></a></div><div class="tree-item-children"><div class="tree-item" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#`label`"><span class="tree-item-title"><p><code>label</code></p></span></a></div><div class="tree-item-children"></div></div><div class="tree-item" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#`display`"><span class="tree-item-title"><p><code>display</code></p></span></a></div><div class="tree-item-children"></div></div></div></div><div class="tree-item mod-collapsible" data-depth="2"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#Remarks"><div class="tree-item-icon collapse-icon"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="svg-icon right-triangle"><path d="M3 8L12 17L21 8"></path></svg></div><span class="tree-item-title"><p>Remarks</p></span></a></div><div class="tree-item-children"><div class="tree-item" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#About_markdown_links"><span class="tree-item-title"><p>About markdown links</p></span></a></div><div class="tree-item-children"></div></div><div class="tree-item" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#Spacing"><span class="tree-item-title"><p>Spacing</p></span></a></div><div class="tree-item-children"></div></div><div class="tree-item" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#Equations_in_callouts/blocks"><span class="tree-item-title"><p>Equations in callouts/blocks</p></span></a></div><div class="tree-item-children"></div></div><div class="tree-item" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#PDF_export"><span class="tree-item-title"><p>PDF export</p></span></a></div><div class="tree-item-children"></div></div><div class="tree-item" data-depth="3"><div class="tree-item-contents"><a class="internal-link tree-item-link" href="#The_`align`_Environment"><span class="tree-item-title"><p>The <code>align</code> Environment</p></span></a></div><div class="tree-item-children"></div></div></div></div></div></div></div></div></div></div></div></div></div></div></body></html>
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