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id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-namespace">Template</span><span class="mw-page-title-separator">:</span><span class="mw-page-title-main">Bra notation</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" 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Available in 6 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-6" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">6 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Skabelon:Bra" title="Skabelon:Bra – Danish" lang="da" hreflang="da" data-title="Skabelon:Bra" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Fyrimynd:Bra" title="Fyrimynd:Bra – Faroese" lang="fo" hreflang="fo" data-title="Fyrimynd:Bra" data-language-autonym="Føroyskt" data-language-local-name="Faroese" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%8B%80:Bra" title="틀:Bra – Korean" lang="ko" hreflang="ko" data-title="틀:Bra" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Predloga:Bra" title="Predloga:Bra – Slovenian" lang="sl" hreflang="sl" data-title="Predloga:Bra" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AE%E0%B1%82%E0%B0%B8:Bra" title="మూస:Bra – Telugu" lang="te" hreflang="te" data-title="మూస:Bra" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/Template:Bra" title="Template:Bra – Chinese" lang="zh" hreflang="zh" data-title="Template:Bra" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q14947648#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet 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<div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"><span class="mw-redirectedfrom">(Redirected from <a href="/w/index.php?title=Template:Bra&redirect=no" class="mw-redirect" title="Template:Bra">Template:Bra</a>)</span></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><p><span class="nowrap">⟨{{{1}}}|</span><style data-mw-deduplicate="TemplateStyles:r1237875617">.mw-parser-output .documentation,.mw-parser-output .documentation-metadata{border:1px solid #a2a9b1;background-color:#ecfcf4;clear:both}.mw-parser-output .documentation{margin:1em 0 0 0;padding:1em}.mw-parser-output .documentation-metadata{margin:0.2em 0;font-style:italic;padding:0.4em 1em}.mw-parser-output .documentation-startbox{padding-bottom:3px;border-bottom:1px solid #aaa;margin-bottom:1ex}.mw-parser-output .documentation-heading{font-weight:bold;font-size:125%}.mw-parser-output .documentation-clear{clear:both}.mw-parser-output .documentation-toolbar{font-style:normal;font-size:85%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .documentation,html.skin-theme-clientpref-night .mw-parser-output .documentation-metadata{background-color:#0b1e1c}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .documentation,html.skin-theme-clientpref-os .mw-parser-output .documentation-metadata{background-color:#0b1e1c}}</style></p><div class="documentation-container" role="complementary" aria-labelledby="documentation-heading"> <div class="documentation"> <div class="documentation-startbox"> <span class="documentation-heading" id="documentation-heading"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Test_Template_Info-Icon_-_Version_%282%29.svg/50px-Test_Template_Info-Icon_-_Version_%282%29.svg.png" decoding="async" width="50" height="22" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Test_Template_Info-Icon_-_Version_%282%29.svg/75px-Test_Template_Info-Icon_-_Version_%282%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/43/Test_Template_Info-Icon_-_Version_%282%29.svg/100px-Test_Template_Info-Icon_-_Version_%282%29.svg.png 2x" data-file-width="1792" data-file-height="800" /></span></span> Template documentation</span><span class="mw-editsection-like plainlinks">[<a href="/wiki/Template:Bra_notation/doc" title="Template:Bra notation/doc">view</a>] [<a href="/wiki/Special:EditPage/Template:Bra_notation/doc" title="Special:EditPage/Template:Bra notation/doc">edit</a>] [<a href="/wiki/Special:PageHistory/Template:Bra_notation/doc" title="Special:PageHistory/Template:Bra notation/doc">history</a>] [<a href="/wiki/Special:Purge/Template:Bra_notation" title="Special:Purge/Template:Bra notation">purge</a>]</span></div> <style data-mw-deduplicate="TemplateStyles:r1252059228">.mw-parser-output .module-shortcutboxplain{float:right;margin:0 0 0 1em;border:1px solid var(--border-color-base,#a2a9b1);background-color:var(--background-color-base,#fff);padding:0.3em 0.6em 0.2em 0.6em;text-align:center;font-size:85%}.mw-parser-output .module-shortcutboxleft{float:left;margin:0 1em 0 0}.mw-parser-output .module-shortcutlist{display:inline-block;border-bottom:1px solid var(--border-color-base,#a2a9b1);margin-bottom:0.2em}.mw-parser-output .module-shortcutboxplain ul{font-weight:bold}.mw-parser-output .module-shortcutanchordiv{position:relative;top:-3em}.mw-parser-output li .module-shortcutanchordiv{float:right}.mw-parser-output .mbox-imageright .module-shortcutboxplain{padding:0.4em 1em 0.4em 1em;line-height:1.3;margin:0}</style><div class="module-shortcutanchordiv"><span id="bra"></span></div><div class="module-shortcutboxplain noprint" role="note"><div class="module-shortcutlist"><a href="/wiki/Wikipedia:Shortcut" title="Wikipedia:Shortcut">Shortcut</a></div><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class="plainlist"><ul><li>{{<span class="plainlinks"><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Template:Bra&redirect=no">bra</a></span>}}</li></ul></div></div> <p>This is for a producing <a href="/wiki/Quantum_state" title="Quantum state">quantum state</a> covector in <a href="/wiki/Bra%E2%80%93ket_notation" title="Bra–ket notation">bra–ket notation</a>, using wikicode, ideally with <span class="nowrap">{{</span><a href="/wiki/Template:Math" title="Template:Math">math</a><span class="nowrap">}}</span>, as an alternative to <a href="/wiki/LaTeX" title="LaTeX">LaTeX</a> in <math> mode. </p><p>This template uses <span class="nowrap">{{</span><a href="/wiki/Template:Braket" title="Template:Braket">braket</a><span class="nowrap">}}</span>. </p> <div class="mw-heading mw-heading2"><h2 id="Application">Application</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Template:Bra_notation/doc&action=edit&section=T-1" title="Edit section: Application"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>There is one parameter, which is the text to be displayed as the bra label. </p> <div class="mw-heading mw-heading2"><h2 id="Examples">Examples</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Template:Bra_notation/doc&action=edit&section=T-2" title="Edit section: Examples"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A bra can be written: <span class="nowrap">⟨Ψ|</span>, that is <code>{{bra|Ψ}}</code>. </p><p>Using <span class="nowrap">{{</span><a href="/wiki/Template:Math" title="Template:Math">math</a><span class="nowrap">}}</span>, a bra can be written: <span class="texhtml"><span class="nowrap">⟨Ψ|</span></span>, that is <code>{{math|{{bra|Ψ}}}}</code>. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Template:Bra_notation/doc&action=edit&section=T-3" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist 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ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Math_templates" title="Template:Math templates"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Math_templates" title="Template talk:Math templates"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Math_templates" title="Special:EditPage/Template:Math templates"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Math_templates" style="font-size:114%;margin:0 4em">Math templates</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="*Functions_*Numeral_systems" style="font-size:114%;margin:0 4em"> <ul><li>Functions</li> <li>Numeral systems</li></ul> </div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;font-size:110%;"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Functions</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Template:Elementary_arithmetic" title="Template:Elementary arithmetic">elementary arithmetic</a></li> <li><a href="/wiki/Template:Precision" title="Template:Precision">precision</a></li> <li><a href="/wiki/Template:Val" title="Template:Val">val</a> (value formatting)</li> <li><a href="/wiki/Template:Percentage" title="Template:Percentage">percentage</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Numeral systems</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>{{<a href="/wiki/Module:BaseConvert" title="Module:BaseConvert">#invoke:BaseConvert</a>|<i>X</i>to<i>Y</i>}}</li> <li><a href="/wiki/Template:Binary" title="Template:Binary">binary</a></li> <li><a href="/wiki/Template:Decimal2Base" title="Template:Decimal2Base">decimal2Base</a></li> <li><a href="/wiki/Template:Hex2dec" title="Template:Hex2dec">hex2dec</a></li> <li><a href="/wiki/Template:Hexadecimal" title="Template:Hexadecimal">hexadecimal</a></li> <li><a href="/wiki/Template:Octal" title="Template:Octal">octal</a></li> <li><a href="/wiki/Template:Quaternary" title="Template:Quaternary">quaternary</a></li> <li><a href="/wiki/Template:Rn" title="Template:Rn">rn</a></li> <li><a href="/wiki/Template:Roman" title="Template:Roman">roman</a></li> <li><a href="/wiki/Template:Ternary" title="Template:Ternary">ternary</a></li> <li><a href="/wiki/Template:Vigesimal" title="Template:Vigesimal">vigesimal</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Conversions" style="font-size:114%;margin:0 4em">Conversions</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;font-size:110%;"><div style="padding:0 0.25em"><table style="margin:0 auto 0;text-align:left;"><tbody><tr style="vertical-align:top"><td> <table style="padding-right:2.5em;"><tbody><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Convert" title="Template:Convert">convert</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> many units (see: <a href="/wiki/Template:Convert/list_of_units" title="Template:Convert/list of units">list</a>)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Cvt" class="mw-redirect" title="Template:Cvt">cvt</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> abbreviated <span class="nowrap">{{</span><a href="/wiki/Template:Convert" title="Template:Convert">convert</a><span class="nowrap">}}</span></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Convinfobox" title="Template:Convinfobox">convinfobox</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <span class="nowrap">{{</span><a href="/wiki/Template:Convert" title="Template:Convert">convert</a><span class="nowrap">}}</span> for infoboxes</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Bbl_to_t" title="Template:Bbl to t">bbl to t</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> barrels of oil to tonnes</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Long_ton" title="Template:Long ton">long ton</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> long hundredweights, quarters and pounds to kilograms;<br />long tons and hundredweights to pounds and metric tons</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Miles-chains" title="Template:Miles-chains">miles-chains</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> miles and chains to kilometres linking "chains"</td></tr></tbody></table></td><td> <table><tbody><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Decdeg" title="Template:Decdeg">decdeg</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> degrees, minutes, and seconds to <a href="/wiki/Decimal_degrees" title="Decimal degrees">decimal degrees</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Deg2DMS" title="Template:Deg2DMS">deg2dms</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> decimal degrees to degrees, minutes, and seconds</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Deg2HMS" title="Template:Deg2HMS">deg2hms</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> decimal degrees to <a href="/wiki/Hour_angle" title="Hour angle">hour angle</a> (in hours, minutes, and seconds)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:HMS2Deg" title="Template:HMS2Deg">hms2deg</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <a href="/wiki/Hour_angle" title="Hour angle">hour angle</a> (in hours, minutes, and seconds) to decimal degrees</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Inflation" title="Template:Inflation">inflation</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> calculate inflation of Consumer Price Index-related prices</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Pop_density" title="Template:Pop density">pop density</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> population density in an area</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Track_gauge" title="Template:Track gauge">track gauge</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> railway track gauges</td></tr></tbody></table></td></tr></tbody></table></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible uncollapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Notation_and_formatting" style="font-size:114%;margin:0 4em">Notation and <a href="/wiki/Category:Mathematical_formatting_templates" title="Category:Mathematical formatting templates">formatting</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;font-size:110%;"><div style="padding:0 0.25em"><table style="margin:0 auto 0;text-align:left;"><tbody><tr style="vertical-align:top"><td> <table style="padding-right:2.5em;"><tbody><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Bigmath" title="Template:Bigmath">bigmath</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> bigger font to match <span class="noitalic"><a href="/wiki/TeX" title="TeX">TeX</a></span> <span class="noitalic"><samp>\displaystyle</samp></span> (standalone formulas only)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <ul><li><a href="/wiki/Template:Bra-ket" title="Template:Bra-ket">bra-ket</a></li> <li><a href="/wiki/Template:Braket" title="Template:Braket">braket</a></li> <li><a href="/wiki/Template:Bra" class="mw-redirect" title="Template:Bra">bra</a></li> <li><a href="/wiki/Template:Ket" class="mw-redirect" title="Template:Ket">ket</a></li></ul></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <a href="/wiki/Bra%E2%80%93ket_notation" title="Bra–ket notation">bra–ket notation</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Ceil" title="Template:Ceil">ceil</a>, <a href="/wiki/Template:Floor" title="Template:Floor">floor</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> calculations <a href="https://www.mediawiki.org/wiki/Help:Extension:ParserFunctions##expr" class="extiw" title="mw:Help:Extension:ParserFunctions">:mw:Help:#expr</a>; formatting indicators <span class="noitalic">⌈3.14⌉</span>, <span class="noitalic"><span style="font-size:1em">⌊</span>3.14<span style="font-size:1em">⌋</span></span> (no calculation performed)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Fraction" title="Template:Fraction">fraction</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> slant fractions <span class="frac"><span class="num">3</span>⁄<span class="den">5</span></span> (not for maths/science articles; use <i>standing</i> or upright fractions <span class="noitalic"><code>{{<a href="/wiki/Template:Sfrac" title="Template:Sfrac">sfrac</a>}}</code></span> instead)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Intmath" title="Template:Intmath">intmath</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <a href="/wiki/Integral_symbol" title="Integral symbol">integral symbols</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <li><a href="/wiki/Template:Langle" title="Template:Langle">langle</a></li> <li><a href="/wiki/Template:Rangle" title="Template:Rangle">rangle</a></li> <li><a href="/wiki/Template:Angle_bracket" title="Template:Angle bracket">angbr</a></li></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <a href="/wiki/Bracket#Angular_brackets" title="Bracket">angular brackets</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <li><a href="/wiki/Template:Ldelim" title="Template:Ldelim">ldelim</a></li> <li><a href="/wiki/Template:Rdelim" title="Template:Rdelim">rdelim</a></li></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> multiline delimiters (2–5 lines inclusive)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Abs" class="mw-redirect" title="Template:Abs">abs</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> absolute values (paired vertical lines)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Math" title="Template:Math">math</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> short text-based formulas</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Mathcal" title="Template:Mathcal">mathcal</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> [mathematical] calligraphic font; alternative to <span class="noitalic"><a href="/wiki/LaTeX" title="LaTeX">LaTeX</a></span> <span class="noitalic"><samp>\mathcal{...}</samp></span></td></tr></tbody></table></td><td> <table><tbody><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Mvar" title="Template:Mvar">mvar</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> individual italicized maths variables in normal text</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <li><a href="/wiki/Template:Overline" title="Template:Overline">overline</a></li> <li><a href="/wiki/Template:Underline" title="Template:Underline">underline</a></li></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> a line set above/below a sequence of characters</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Overarc" title="Template:Overarc">overarc</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> an arc set above a sequence of characters</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <li><a href="/wiki/Template:Overset" title="Template:Overset">overset</a></li> <li><a href="/wiki/Template:Underset" title="Template:Underset">underset</a></li></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> arbitrary characters/diacritics set above/below one another</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Pars" title="Template:Pars">pars</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> parentheses that can be resized <span class="noitalic"><span class="texhtml"><span style="font-size:150;">(</span><span class="nowrap" style="padding-left:0.1em; padding-right:0.1em;"><span style="font-size:120%">∑</span></span><span style="font-size:150;">)</span></span></span></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Sfrac" title="Template:Sfrac">sfrac</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> "standing" or upright fractions <span class="sfrac">⁠<span class="tion"><span class="num">3</span><span class="sr-only">/</span><span class="den">5</span></span>⁠</span> (use in maths/science articles instead of<span class="noitalic"><code>{{<a href="/wiki/Template:Fraction" title="Template:Fraction">fraction</a>}}</code></span>)</td></tr><tr style="vertical-align:top"><td style="vertical-align:middle;text-align:right;padding-right:1.0em;"> <li><a href="/wiki/Template:Sub" title="Template:Sub">sub</a></li> <li><a href="/wiki/Template:Sup" title="Template:Sup">sup</a></li> <li><a href="/wiki/Template:Su" title="Template:Su">su</a></li></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> subscripts and superscripts</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Tmath" title="Template:Tmath">tmath</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> Wrap <span class="noitalic"><a href="/wiki/TeX" title="TeX">TeX</a></span> in <span class="noitalic"><math></span> tags</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Tombstone" title="Template:Tombstone">tombstone</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> symbol indicating the <a href="/wiki/Tombstone_(typography)" title="Tombstone (typography)">end of a proof</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Val" title="Template:Val">val</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> measurement values, uncertainties and units</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/Template:Vec" class="mw-redirect" title="Template:Vec">vec</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> various overarrows, underarrows, etc.</td></tr></tbody></table></td></tr></tbody></table></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="*Boxes_*Tags_*Notices" style="font-size:114%;margin:0 4em"> <li>Boxes</li> <li>Tags</li> <li>Notices</li> </div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;font-size:110%;"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;background:transparent;color:inherit;"><div style="padding:0px"><table class="navbox-columns-table" style="border-spacing: 0px; text-align:left;width:100%;"><tbody><tr><td class="navbox-abovebelow" style="font-weight:bold;">Boxes</td><td class="navbox-abovebelow" style="border-left:2px solid #fdfdfd;font-weight:bold;">Tags</td></tr><tr style="vertical-align:top"><td class="navbox-list" style="padding:0px;text-align:center;width:10em;"><div> <ul><li><a href="/wiki/Template:Arithmetic_operations" title="Template:Arithmetic operations">arithmetic operations</a></li> <li><a href="/wiki/Template:Calculus" title="Template:Calculus">calculus</a></li> <li><a href="/wiki/Template:Infobox_mathematical_function" title="Template:Infobox mathematical function">Infobox mathematical function</a></li> <li><a href="/wiki/Template:Functions" title="Template:Functions">functions</a></li></ul> </div></td><td class="navbox-list" style="border-left:2px solid #fdfdfd;padding:0px;text-align:center;width:10em;"><div> <ul><li><a href="/wiki/Template:Metricate" title="Template:Metricate">metricate</a></li> <li><a href="/wiki/Template:Undue_precision" title="Template:Undue precision">undue precision</a></li> <li><a href="/wiki/Template:Units_attention" title="Template:Units attention">units attention</a></li></ul> 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