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Mathematical notation
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< time datetime = "2019-03-08 00:00:00 +0000 UTC" > 8 March 2019< / time > < span class = "px-2 text-primary-500" > · < / span > < span title = "Reading time" > 1 min< / span >
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Table of Contents
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< li > < a href = #inline-notation > Inline notation< / a > < / li >
< li > < a href = #block-notation > Block notation< / a > < / li >
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< p > KaTeX can be used to render mathematical notation within articles.< / p >
< p > Congo will only bundle the KaTeX assets into your project if you make use of mathematical notation. In order for this to work, simply include the < a href = https://jpanther.github.io/congo/docs/shortcodes/#katex > < code > katex< / code > shortcode< / a > within the article. Any KaTeX syntax on that page will then be automatically rendered.< / p >
< p > Use the online reference of < a href = https://katex.org/docs/supported.html > supported TeX functions< / a > for the available syntax.< / p >
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< h2 id = inline-notation class = "relative group" > Inline notation < span class = "absolute top-0 w-6 transition-opacity opacity-0 ltr:-left-6 rtl:-right-6 not-prose group-hover:opacity-100" > < a class = "group-hover:text-primary-300 dark:group-hover:text-neutral-700" style = text-decoration-line:none!important href = #inline-notation aria-label = Anchor > #< / a > < / span > < / h2 >
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< p > Inline notation can be generated by wrapping the expression in < code > \\(< / code > and < code > \\)< / code > delimiters.< / p >
< p > < strong > Example:< / strong > < / p >
< div class = highlight > < pre tabindex = 0 class = chroma > < code class = language-tex data-lang = tex > < span class = c > % KaTeX inline notation
< / span > < span class = c > < / span > Inline notation: < span class = k > \\< / span > (< span class = k > \varphi< / span > = < span class = k > \dfrac< / span > < span class = nb > {< / span > 1+< span class = k > \sqrt< / span > 5< span class = nb > }{< / span > 2< span class = nb > }< / span > = 1.6180339887…< span class = k > \\< / span > )
< / code > < / pre > < / div > < p > Inline notation: \(\varphi = \dfrac{1+\sqrt5}{2}= 1.6180339887…\)< / p >
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< h2 id = block-notation class = "relative group" > Block notation < span class = "absolute top-0 w-6 transition-opacity opacity-0 ltr:-left-6 rtl:-right-6 not-prose group-hover:opacity-100" > < a class = "group-hover:text-primary-300 dark:group-hover:text-neutral-700" style = text-decoration-line:none!important href = #block-notation aria-label = Anchor > #< / a > < / span > < / h2 >
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< p > Alternatively, block notation can be generated using < code > $$< / code > delimiters. This will output the expression in its own HTML block.< / p >
< p > < strong > Example:< / strong > < / p >
< div class = highlight > < pre tabindex = 0 class = chroma > < code class = language-tex data-lang = tex > < span class = c > % KaTeX block notation
< / span > < span class = c > < / span > < span class = sb > $$< / span > < span class = nb >
< / span > < span class = nb > < / span > < span class = nv > \varphi< / span > < span class = nb > < / span > < span class = o > =< / span > < span class = nb > < / span > < span class = m > 1< / span > < span class = o > +< / span > < span class = nv > \frac< / span > < span class = nb > {< / span > < span class = m > 1< / span > < span class = nb > } {< / span > < span class = m > 1< / span > < span class = o > +< / span > < span class = nv > \frac< / span > < span class = nb > {< / span > < span class = m > 1< / span > < span class = nb > } {< / span > < span class = m > 1< / span > < span class = o > +< / span > < span class = nv > \frac< / span > < span class = nb > {< / span > < span class = m > 1< / span > < span class = nb > } {< / span > < span class = m > 1< / span > < span class = o > +< / span > < span class = nv > \cdots< / span > < span class = nb > } } }
< / span > < span class = nb > < / span > < span class = s > $$< / span >
< / code > < / pre > < / div > < p > $$
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\varphi = 1+\frac{1} {1+\frac{1} {1+\frac{1} {1+\cdots} } }
$$< / p >
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< span class = "relative inline-block align-text-bottom icon" > < svg aria-hidden = "true" focusable = "false" data-prefix = "fab" data-icon = "linkedin" class = "svg-inline--fa fa-linkedin fa-w-14" role = "img" xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 448 512" > < path fill = "currentcolor" d = "M416 32H31.9C14.3 32 0 46.5.0 64.3v383.4C0 465.5 14.3 480 31.9 480H416c17.6.0 32-14.5 32-32.3V64.3c0-17.8-14.4-32.3-32-32.3zM135.4 416H69V202.2h66.5V416zm-33.2-243c-21.3.0-38.5-17.3-38.5-38.5S80.9 96 102.2 96c21.2.0 38.5 17.3 38.5 38.5.0 21.3-17.2 38.5-38.5 38.5zm282.1 243h-66.4V312c0-24.8-.5-56.7-34.5-56.7-34.6.0-39.9 27-39.9 54.9V416h-66.4V202.2h63.7v29.2h.9c8.9-16.8 30.6-34.5 62.9-34.5 67.2.0 79.7 44.3 79.7 101.9V416z" / > < / svg >
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< / span >
< / a >
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< a class = "px-1 hover:text-primary-700 dark:hover:text-primary-400" href = https://youtube.com/ target = _blank aria-label = Youtube rel = "me noopener noreferrer" >
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< span class = "relative inline-block align-text-bottom icon" > < svg aria-hidden = "true" focusable = "false" data-prefix = "fab" data-icon = "youtube" class = "svg-inline--fa fa-youtube fa-w-18" role = "img" xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 576 512" > < path fill = "currentcolor" d = "M549.655 124.083c-6.281-23.65-24.787-42.276-48.284-48.597C458.781 64 288 64 288 64S117.22 64 74.629 75.486c-23.497 6.322-42.003 24.947-48.284 48.597-11.412 42.867-11.412 132.305-11.412 132.305s0 89.438 11.412 132.305c6.281 23.65 24.787 41.5 48.284 47.821C117.22 448 288 448 288 448s170.78.0 213.371-11.486c23.497-6.321 42.003-24.171 48.284-47.821 11.412-42.867 11.412-132.305 11.412-132.305s0-89.438-11.412-132.305zm-317.51 213.508V175.185l142.739 81.205-142.739 81.201z" / > < / svg >
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< / div >
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< / div >
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< div class = pt-8 >
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< hr class = "border-dotted border-neutral-300 dark:border-neutral-600" >
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< div class = "flex justify-between pt-3" >
< span >
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< a class = "flex group" href = /congo/samples/charts/ >
< span class = "mr-3 ltr:inline rtl:hidden text-neutral-700 dark:text-neutral group-hover:text-primary-600 dark:group-hover:text-primary-400" > ← < / span >
< span class = "ml-3 ltr:hidden rtl:inline text-neutral-700 dark:text-neutral group-hover:text-primary-600 dark:group-hover:text-primary-400" > → < / span >
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< span class = "flex flex-col" >
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< span class = "mt-[0.1rem] leading-6 group-hover:underline group-hover:decoration-primary-500" > Charts< / span >
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< span class = "mt-[0.1rem] text-xs text-neutral-500 dark:text-neutral-400" >
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< time datetime = "2019-03-06 00:00:00 +0000 UTC" > 6 March 2019< / time >
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< / span >
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< / span >
< / a >
< / span >
< span >
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< a class = "flex text-right group" href = /congo/samples/placeholder-text/ >
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< span class = "flex flex-col" >
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< span class = "mt-[0.1rem] leading-6 group-hover:underline group-hover:decoration-primary-500" > Placeholder Text< / span >
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< span class = "mt-[0.1rem] text-xs text-neutral-500 dark:text-neutral-400" >
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< time datetime = "2019-03-09 00:00:00 +0000 UTC" > 9 March 2019< / time >
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< / span >
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< / span >
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< span class = "ml-3 ltr:inline rtl:hidden text-neutral-700 dark:text-neutral group-hover:text-primary-600 dark:group-hover:text-primary-400" > → < / span >
< span class = "mr-3 ltr:hidden rtl:inline text-neutral-700 dark:text-neutral group-hover:text-primary-600 dark:group-hover:text-primary-400" > ← < / span >
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< / a >
< / span >
< / div >
< / div >
< / footer >
< / article >
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< / main >
< div id = search-wrapper class = "fixed inset-0 z-50 flex flex-col p-4 sm:p-6 md:p-[10vh] lg:p-[12vh] w-screen h-screen cursor-default bg-neutral-500/50 backdrop-blur-sm dark:bg-neutral-900/50 invisible" data-url = https://jpanther.github.io/congo/ >
< div id = search-modal class = "flex flex-col w-full max-w-3xl min-h-0 mx-auto border rounded-md shadow-lg border-neutral-200 top-20 bg-neutral dark:bg-neutral-800 dark:border-neutral-700" >
< header class = "relative z-10 flex items-center justify-between flex-none px-2" >
< form class = "flex items-center flex-auto min-w-0" >
< div class = "flex items-center justify-center w-8 h-8 text-neutral-400" >
< span class = "relative inline-block align-text-bottom icon" > < svg aria-hidden = "true" focusable = "false" data-prefix = "fas" data-icon = "search" class = "svg-inline--fa fa-search fa-w-16" role = "img" xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > < path fill = "currentcolor" d = "M505 442.7 405.3 343c-4.5-4.5-10.6-7-17-7H372c27.6-35.3 44-79.7 44-128C416 93.1 322.9.0 208 0S0 93.1.0 208s93.1 208 208 208c48.3.0 92.7-16.4 128-44v16.3c0 6.4 2.5 12.5 7 17l99.7 99.7c9.4 9.4 24.6 9.4 33.9.0l28.3-28.3c9.4-9.4 9.4-24.6.1-34zM208 336c-70.7.0-128-57.2-128-128 0-70.7 57.2-128 128-128 70.7.0 128 57.2 128 128 0 70.7-57.2 128-128 128z" / > < / svg >
< / span >
< / div >
< input type = search id = search-query class = "flex flex-auto h-12 mx-1 bg-transparent appearance-none focus:outline-dotted focus:outline-transparent focus:outline-2" placeholder = Search tabindex = 0 >
< / form >
< button id = close-search-button class = "flex items-center justify-center w-8 h-8 text-neutral-700 dark:text-neutral hover:text-primary-600 dark:hover:text-primary-400" title = "Close (Esc)" >
< span class = "relative inline-block align-text-bottom icon" > < svg aria-hidden = "true" focusable = "false" data-prefix = "fas" data-icon = "times" class = "svg-inline--fa fa-times fa-w-11" role = "img" xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 352 512" > < path fill = "currentcolor" d = "M242.72 256l100.07-100.07c12.28-12.28 12.28-32.19.0-44.48l-22.24-22.24c-12.28-12.28-32.19-12.28-44.48.0L176 189.28 75.93 89.21c-12.28-12.28-32.19-12.28-44.48.0L9.21 111.45c-12.28 12.28-12.28 32.19.0 44.48L109.28 256 9.21 356.07c-12.28 12.28-12.28 32.19.0 44.48l22.24 22.24c12.28 12.28 32.2 12.28 44.48.0L176 322.72l100.07 100.07c12.28 12.28 32.2 12.28 44.48.0l22.24-22.24c12.28-12.28 12.28-32.19.0-44.48L242.72 256z" / > < / svg >
< / span >
< / button >
< / header >
< section class = "flex-auto px-2 overflow-auto" >
< ul id = search-results >
< / ul >
< / section >
< / div >
< / div >
< footer class = py-10 >
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< div class = "flex justify-between" >
< div >
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< p class = "text-sm text-neutral-500 dark:text-neutral-400" >
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© 2022 Congo contributors
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< / p >
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< p class = "text-xs text-neutral-500 dark:text-neutral-400" >
Powered by < a class = "hover:underline hover:decoration-primary-400 hover:text-primary-500" href = https://gohugo.io/ target = _blank rel = "noopener noreferrer" > Hugo< / a > & < a class = "hover:underline hover:decoration-primary-400 hover:text-primary-500" href = https://git.io/hugo-congo target = _blank rel = "noopener noreferrer" > Congo< / a >
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< / p >
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< / div >
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< div class = "text-sm cursor-pointer text-neutral-700 dark:text-neutral hover:text-primary-600 dark:hover:text-primary-400 ltr:mr-14 rtl:ml-14" >
< button id = appearance-switcher class = "w-12 h-12" type = button title = "Switch to dark appearance" >
< span class = "inline dark:hidden" >
< span class = "relative inline-block align-text-bottom icon" > < svg aria-hidden = "true" focusable = "false" data-prefix = "fas" data-icon = "moon" class = "svg-inline--fa fa-moon fa-w-16" role = "img" xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > < path fill = "currentcolor" d = "M283.211 512c78.962.0 151.079-35.925 198.857-94.792 7.068-8.708-.639-21.43-11.562-19.35-124.203 23.654-238.262-71.576-238.262-196.954.0-72.222 38.662-138.635 101.498-174.394 9.686-5.512 7.25-20.197-3.756-22.23A258.156 258.156.0 00283.211.0c-141.309.0-256 114.511-256 256 0 141.309 114.511 256 256 256z" / > < / svg >
< / span >
< / span >
< span class = "hidden dark:inline" >
< span class = "relative inline-block align-text-bottom icon" > < svg aria-hidden = "true" focusable = "false" data-prefix = "fas" data-icon = "sun" class = "svg-inline--fa fa-sun fa-w-16" role = "img" xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > < path fill = "currentcolor" d = "M256 160c-52.9.0-96 43.1-96 96s43.1 96 96 96 96-43.1 96-96-43.1-96-96-96zm246.4 80.5-94.7-47.3 33.5-100.4c4.5-13.6-8.4-26.5-21.9-21.9l-100.4 33.5-47.4-94.8c-6.4-12.8-24.6-12.8-31 0l-47.3 94.7L92.7 70.8c-13.6-4.5-26.5 8.4-21.9 21.9l33.5 100.4-94.7 47.4c-12.8 6.4-12.8 24.6.0 31l94.7 47.3-33.5 100.5c-4.5 13.6 8.4 26.5 21.9 21.9l100.4-33.5 47.3 94.7c6.4 12.8 24.6 12.8 31 0l47.3-94.7 100.4 33.5c13.6 4.5 26.5-8.4 21.9-21.9l-33.5-100.4 94.7-47.3c13-6.5 13-24.7.2-31.1zm-155.9 106c-49.9 49.9-131.1 49.9-181 0s-49.9-131.1.0-181 131.1-49.9 181 0 49.9 131.1.0 181z" / > < / svg >
< / span >
< / span >
< / button >
< / div >
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< / div >
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< / footer >
< / body >
< / html >
