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<!DOCTYPE html> <html lang="en-US" dir="ltr"> <head> <base href="../../../../"> <noscript><meta http-equiv="refresh" content="0; URL=../../../../en-US/noscript.html"></noscript> <meta http-equiv="Content-Type" content="text/html; charset=utf-8"> <title>Set Operations</title> <link rel="shortcut icon" href="media/navigation/favicon.ico"> <link type="text/css" href="normalize.css" rel="Stylesheet"> <link type="text/css" href="prism.css" rel="Stylesheet"> <link type="text/css" href="default.css" rel="Stylesheet"> <script type="text/javascript" src="polyfills.js"></script><script type="text/javascript" src="languages.js"></script><script type="text/javascript" src="en-US/langnames.js"></script><script type="text/javascript" src="flexsearch.debug.js"></script><script type="text/javascript" src="prism.js"></script><script type="text/javascript" src="help2.js" defer></script><script type="text/javascript" src="a11y-toggle.js" defer></script><script type="text/javascript" src="paginathing.js" defer></script><script type="text/javascript" src="en-US/bookmarks.js" defer></script><script type="text/javascript" src="en-US/contents.js" defer></script><script type="text/javascript" src="help.js" defer></script><meta name="viewport" content="width=device-width,initial-scale=1"> </head> <body> <header id="TopLeftHeader"><a class="symbol" href="en-US/text/shared/05/new_help.html"><div></div></a><a class="logo" href="en-US/text/shared/05/new_help.html"><p dir="auto">LibreOffice 24.2 Help</p></a><div class="dropdowns"><div class="modules"> <button type="button" data-a11y-toggle="modules-nav" id="modules" aria-haspopup="true" aria-expanded="false" aria-controls="modules-nav">Module</button><nav id="modules-nav" hidden=""></nav> </div></div></header><aside class="leftside"><input id="accordion-1" name="accordion-menu" type="checkbox"><label for="accordion-1" dir="auto">Contents</label><div id="Contents" class="contents-treeview"></div></aside><div id="SearchFrame"><div id="Bookmarks"> <input id="search-bar" type="search" class="search" placeholder="Search in bookmarks for chosen module" dir="auto"><div class="nav-container" tabindex="0"><nav class="index" dir="auto"></nav></div> </div></div> <div id="DisplayArea" itemprop="softwareHelp" itemscope="true" itemtype="http://schema.org/SoftwareApplication"> <a name="set_operations"></a> <a name="bm_id3156318"></a><meta itemprop="keywords" content="set operations in LibreOfficeMath"> <meta itemprop="keywords" content="sets of numbers"> <meta itemprop="keywords" content="included in set operator"> <meta itemprop="keywords" content="not included in set operator"> <meta itemprop="keywords" content="owns command"> <meta itemprop="keywords" content="includes set operator"> <meta itemprop="keywords" content="empty set"> <meta itemprop="keywords" content="intersection of sets"> <meta itemprop="keywords" content="union of sets"> <meta itemprop="keywords" content="difference set operator"> <meta itemprop="keywords" content="quotient set"> <meta itemprop="keywords" content="cardinal numbers"> <meta itemprop="keywords" content="subset set operators"> <meta itemprop="keywords" content="superset set operators"> <meta itemprop="keywords" content="not subset set operators"> <meta itemprop="keywords" content="not superset set operators"> <meta itemprop="keywords" content="natural numbers"> <meta itemprop="keywords" content="whole numbers"> <meta itemprop="keywords" content="real numbers"> <meta itemprop="keywords" content="complex numbers, set"> <meta itemprop="keywords" content="rational numbers"> <a name="bm_id3145205"></a> <h1 id="hd_id3156318" dir="auto">Set Operations</h1> <p id="par_id3154641" class="paragraph" dir="auto">Assign different set operators to the characters in your <span class="emph">LibreOffice Math</span> formula. The individual operators are shown in the lower section of the Elements pane. Call the <a target="_top" href="en-US/text/shared/00/00000001.html#contextmenu">context menu</a> in the <span class="emph">Commands</span> window to see an identical list of the individual functions. Any operators not found in the Elements pane have to be entered directly in the Commands window. You can also directly insert other parts of the formula even if symbols already exist for them.</p> <a name="howtoget"></a><div class="howtoget"> <div><p class="howtogetheader" dir="auto"><a name="wie"></a>To access this command...</p></div> <div class="howtogetbody"> <div class="embedded"> <a name="set_operations"></a> <p id="par_id3149008" class="paragraph" dir="auto">Open the context menu in the Commands window - choose <span class="emph">Set Operations</span> </p> <p id="par_id3147313" class="paragraph" dir="auto">Choose <span class="emph">View - Elements</span>; then on the Elements pane select <span class="emph">Set Operations</span> from the listbox.</p> </div> </div> </div> <br> <p id="par_id3149290" class="paragraph" dir="auto">After selecting the <span class="emph">Set Operations</span> item in the Elements pane, relevant icons will be shown in the lower part of this pane. Simply click a symbol to incorporate the operator in the formula being edited in the Commands window.</p> <h3 id="hd_id3147258" dir="auto">The set operations in detail:</h3> <div class="icontable"> <div class="iconcell"> <p id="par_idN10081" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21401.svg" class="genericimage" alt="is included in Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3147512"></a> </div> <div class="iconcell"> <p id="par_id3154275" class="tableheadintable" dir="auto">is included in</p> <p id="par_id3150706" class="paragraphintable" dir="auto"><span class="avis">Use the icon to insert the <span class="emph">is included in</span> set operator with two placeholders.</span> You can also enter <span class="emph"><?> in <?></span> directly into the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN100BC" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21402.svg" class="genericimage" alt="is not included in Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3153669"></a> </div> <div class="iconcell"> <p id="par_id3150984" class="tableheadintable" dir="auto">is not included in</p> <p id="par_id3150997" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">is not included in</span> set operator with two placeholders.</span> You can also enter <span class="emph"><?> notin <?> </span>in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN100F7" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21403.svg" class="genericimage" alt="includes Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3150835"></a> </div> <div class="iconcell"> <p id="par_id3149688" class="tableheadintable" dir="auto">includes</p> <p id="par_id3149338" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the set operator <span class="emph">includes </span>with two placeholders.</span> You can also enter <span class="emph"><?> owns <?></span> or <span class="emph"><?> ni <?></span> directly in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN10135" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op22002.svg" class="genericimage" alt="empty set Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3143282"></a> </div> <div class="iconcell"> <p id="par_id3149101" class="tableheadintable" dir="auto">empty set</p> <p id="par_id3154829" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert an <span class="emph">empty set</span>.</span> Enter <span class="emph">emptyset</span> in the Commands window, in order to insert an empty set into your document.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN1016E" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21405.svg" class="genericimage" alt="Intersection Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3154904"></a> </div> <div class="iconcell"> <p id="par_id3149035" class="tableheadintable" dir="auto">Intersection</p> <p id="par_id3147573" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert two placeholders with the set operator <span class="emph">intersection of sets </span>.</span> The same happens if you enter <span class="emph"><?> intersection <?></span> Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN101A7" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21406.svg" class="genericimage" alt="Union Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3147084"></a> </div> <div class="iconcell"> <p id="par_id3147130" class="tableheadintable" dir="auto">Union</p> <p id="par_id3154376" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">union</span> set operator with two placeholders.</span> You can also enter <span class="emph"><?> union <?> </span>directly in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN101E0" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21407.svg" class="genericimage" alt="Difference Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3151034"></a> </div> <div class="iconcell"> <p id="par_id3145774" class="tableheadintable" dir="auto">Difference</p> <p id="par_id3145786" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">difference</span> set operator.</span> You can also enter <span class="emph"><?> setminus <?></span> or <span class="emph"><?> bslash <?></span> in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN1021C" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21408.svg" class="genericimage" alt="Quotient set Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3155918"></a> </div> <div class="iconcell"> <p id="par_id3149536" class="tableheadintable" dir="auto">Quotient set</p> <p id="par_id3149549" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert a slash for creating a <span class="emph">quotient set</span> with two placeholders.</span> Enter <span class="emph"><?>slash<?></span> in the Commands window, to achieve the same result.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN10255" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op22001.svg" class="genericimage" alt="aleph Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3147490"></a> </div> <div class="iconcell"> <p id="par_id3147500" class="tableheadintable" dir="auto">aleph</p> <p id="par_id3145263" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert a <span class="emph">cardinal number</span>. </span> You can achieve the same result by entering <span class="emph">aleph</span> in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN1028E" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21409.svg" class="genericimage" alt="Subset Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3150552"></a> </div> <div class="iconcell"> <p id="par_id3150561" class="tableheadintable" dir="auto">Subset</p> <p id="par_id3156227" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">is a subset of</span> set operator.</span> You can also enter <span class="emph"><?>subset<?></span> directly in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN102C9" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21410.svg" class="genericimage" alt="Subset or equal to Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3147600"></a> </div> <div class="iconcell"> <p id="par_id3147448" class="tableheadintable" dir="auto">Subset or equal to</p> <p id="par_id3147460" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">is a subset or equal to</span> set operator with two placeholders.</span> You can also enter <span class="emph"><?>subseteq<?></span> in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN10304" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21411.svg" class="genericimage" alt="Superset Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3154779"></a> </div> <div class="iconcell"> <p id="par_id3154788" class="tableheadintable" dir="auto">Superset</p> <p id="par_id3151088" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the set operator <span class="emph">is a superset of</span> and two placeholders.</span> You can also enter <span class="emph"><?>supset<?></span> in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN1033F" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21412.svg" class="genericimage" alt="Superset or equal to Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3153295"></a> </div> <div class="iconcell"> <p id="par_id3153305" class="tableheadintable" dir="auto">Superset or equal to</p> <p id="par_id3151119" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the set operator <span class="emph">is a super set or equal to</span> with two placeholders.</span> Alternatively, you can enter <span class="emph"><?>supseteq<?> </span>in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN1037A" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21413.svg" class="genericimage" alt="not subset Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3149324"></a> </div> <div class="iconcell"> <p id="par_id3150454" class="tableheadintable" dir="auto">not subset</p> <p id="par_id3153968" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">not subset</span> set operator with two placeholders.</span> Instead of this, you can also enter <span class="emph"><?>nsubset<?></span>.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN103B7" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21414.svg" class="genericimage" alt="not subset or equal to Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3149778"></a> </div> <div class="iconcell"> <p id="par_id3149236" class="tableheadintable" dir="auto">not subset or equal to</p> <p id="par_id3149249" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">not subset or equal</span> set operator with two placeholders.</span> You can also enter <span class="emph"><?>nsubseteq<?> </span>in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN103F4" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21415.svg" class="genericimage" alt="not superset Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3148787"></a> </div> <div class="iconcell"> <p id="par_id3148796" class="tableheadintable" dir="auto">not superset</p> <p id="par_id3149995" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">not superset</span> set operator with two placeholders.</span> You can also enter <span class="emph"><?>nsupset<?> </span>in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN10431" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21416.svg" class="genericimage" alt="not superset or equal to Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3151229"></a> </div> <div class="iconcell"> <p id="par_id3155798" class="tableheadintable" dir="auto">not superset or equal to</p> <p id="par_id3155810" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert the <span class="emph">not superset or equal</span> set operator with two placeholders.</span> Instead of this you can type <span class="emph"><?>nsupseteq<?> </span>in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN1046E" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21417.svg" class="genericimage" alt="Set of natural numbers Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3148805"></a> </div> <div class="iconcell"> <p id="par_id3148815" class="tableheadintable" dir="auto">Set of natural numbers</p> <p id="par_id3154352" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert a character for the <span class="emph">set of natural numbers</span>.</span> Instead of this, you can enter <span class="emph">setn</span> in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN104A7" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21418.svg" class="genericimage" alt="Set of whole numbers Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3154008"></a> </div> <div class="iconcell"> <p id="par_id3149628" class="tableheadintable" dir="auto">Set of whole numbers</p> <p id="par_id3149641" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert a character for the <span class="emph">set of whole numbers</span>.</span> You can also do this by entering <span class="emph">setz</span> in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN104E0" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21419.svg" class="genericimage" alt="Set of rational numbers Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3149951"></a> </div> <div class="iconcell"> <p id="par_id3149961" class="tableheadintable" dir="auto">Set of rational numbers</p> <p id="par_id3149974" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert a character for the <span class="emph">set of rational numbers</span>.</span> You can also do this by directly entering <span class="emph">setq</span> in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN10519" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21420.svg" class="genericimage" alt="Set of real numbers Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3145653"></a> </div> <div class="iconcell"> <p id="par_id3145663" class="tableheadintable" dir="auto">Set of real numbers</p> <p id="par_id3148709" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert a character for the <span class="emph">set of real numbers</span>.</span> Instead of this, you can enter <span class="emph">setr</span> in the Commands window.</p> </div> </div> <div class="icontable"> <div class="iconcell"> <p id="par_idN10552" class="paragraphintable" dir="auto"> <img src="media/helpimg/starmath/op21421.svg" class="genericimage" alt="Set of complex numbers Icon" style="width:38px;height:38px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject"></p> <a name="bm_id3149510"></a> </div> <div class="iconcell"> <p id="par_id3149519" class="tableheadintable" dir="auto">Set of complex numbers</p> <p id="par_id3148672" class="paragraphintable" dir="auto"><span class="avis">Use this icon to insert a character for the <span class="emph">set of complex numbers</span>.</span> You can also enter <span class="emph">setc</span> in the Commands window.</p> </div> </div> <div class="warning"> <div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/warning.svg" alt="Warning Icon " style="width:40px;height:40px;"></div> <div class="notetext"><p dir="auto">Be sure to leave spaces (gaps) between values and commands when entering them manually in the Commands window. This ensures that the correct structure is achieved.</p></div> </div> <br> </div> <div id="DonationFrame"></div> <footer><div id="DEBUG" class="debug"> <h3 class="bug">Help content debug info:</h3> <p dir="auto">This page is: <a href="https://opengrok.libreoffice.org/xref/help/source/text/smath/01/03090800.xhp" target="_blank">/text/smath/01/03090800.xhp</a></p> <p dir="auto">Title is: Set Operations</p> <p id="bm_module" dir="auto"></p> <p id="bm_system" dir="auto"></p> <p id="bm_HID" dir="auto"></p> </div></footer> </body> </html>