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diff --git a/helpcontent2/source/text/smath/01/03091503.xhp b/helpcontent2/source/text/smath/01/03091503.xhp new file mode 100644 index 000000000..d87143a53 --- /dev/null +++ b/helpcontent2/source/text/smath/01/03091503.xhp @@ -0,0 +1,379 @@ +<?xml version="1.0" encoding="UTF-8"?> +<!-- + * This file is part of the LibreOffice project. + * + * This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. + * + * This file incorporates work covered by the following license notice: + * + * Licensed to the Apache Software Foundation (ASF) under one or more + * contributor license agreements. See the NOTICE file distributed + * with this work for additional information regarding copyright + * ownership. The ASF licenses this file to you under the Apache + * License, Version 2.0 (the "License"); you may not use this file + * except in compliance with the License. You may obtain a copy of + * the License at http://www.apache.org/licenses/LICENSE-2.0 . + --> +<helpdocument version="1.0"> +<meta> +<topic id="textsmath0103091503xml" indexer="include" status="PUBLISH"> +<title id="tit" xml-lang="en-US">Set Operators</title> +<filename>/text/smath/01/03091503.xhp</filename> +</topic> +</meta> +<body> +<bookmark xml-lang="en-US" branch="index" id="bm_id3157991"><bookmark_value>set operators;list of</bookmark_value> +</bookmark> +<h1 id="hd_id4201178"><variable id="set"><link href="text/smath/01/03091503.xhp" name="set">Set Operators</link> +</variable></h1> +<table id="tbl_id3145680"> +<tablerow> +<tablecell> +<paragraph role="tablehead" id="par_idN1130F" xml-lang="en-US">Typed command(s)</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablehead" id="par_id3145724" xml-lang="en-US">Symbol in Elements pane</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablehead" id="par_id3158137" xml-lang="en-US">Meaning</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN1146D" xml-lang="en-US" localize="false"> +<literal>aleph</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3146505" xml-lang="en-US"> +<image id="img_id3146512" src="media/helpimg/starmath/op22001.svg" width="1cm" height="1cm"><alt id="alt_id3146512" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3146625" xml-lang="en-US">Cardinal number</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN1131F" xml-lang="en-US" localize="false"> +<literal>emptyset</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3159379" xml-lang="en-US"> +<image id="img_id3159386" src="media/helpimg/starmath/op22002.svg" width="1cm" height="1cm"><alt id="alt_id3159386" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3152374" xml-lang="en-US">Empty set</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_id8198065" xml-lang="en-US" localize="false"> +<literal>in</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158166" xml-lang="en-US"> +<image id="img_id3158173" src="media/helpimg/starmath/op21401.svg" width="1cm" height="1cm"><alt id="alt_id3158173" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3155037" xml-lang="en-US">is contained in</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN11361" xml-lang="en-US" localize="false"> +<literal>intersection</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3152402" xml-lang="en-US"> +<image id="img_id3152408" src="media/helpimg/starmath/op21405.svg" width="1cm" height="1cm"><alt id="alt_id3152408" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3152522" xml-lang="en-US">Intersection of sets</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN11297" xml-lang="en-US" localize="false"> +<literal>notin</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158212" xml-lang="en-US"> +<image id="img_id3158218" src="media/helpimg/starmath/op21402.svg" width="1cm" height="1cm"><alt id="alt_id3158218" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158332" xml-lang="en-US">is not contained in</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN115B7" xml-lang="en-US" localize="false"> +<literal>nsubset</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158819" xml-lang="en-US"> +<image id="img_id3158825" src="media/helpimg/starmath/op21413.svg" width="1cm" height="1cm"><alt id="alt_id3158825" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158939" xml-lang="en-US">Not subset to</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN115F9" xml-lang="en-US" localize="false"> +<literal>nsubseteq</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158966" xml-lang="en-US"> +<image id="img_id3158973" src="media/helpimg/starmath/op21414.svg" width="1cm" height="1cm"><alt id="alt_id3158973" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3159086" xml-lang="en-US">Not subset or equal to</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN1163B" xml-lang="en-US" localize="false"> +<literal>nsupset</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3159114" xml-lang="en-US"> +<image id="img_id3159120" src="media/helpimg/starmath/op21415.svg" width="1cm" height="1cm"><alt id="alt_id3159120" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3162974" xml-lang="en-US">Not superset</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN1167D" xml-lang="en-US" localize="false"> +<literal>nsupseteq</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163002" xml-lang="en-US"> +<image id="img_id3163008" src="media/helpimg/starmath/op21416.svg" width="1cm" height="1cm"><alt id="alt_id3163008" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163122" xml-lang="en-US">Not superset or equal to</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN112D9" xml-lang="en-US"> +<literal>owns</literal> or <literal>ni</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158359" xml-lang="en-US"> +<image id="img_id3158366" src="media/helpimg/starmath/op21403.svg" width="1cm" height="1cm"><alt id="alt_id3158366" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3159352" xml-lang="en-US">Contains</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN117C7" xml-lang="en-US" localize="false"> +<literal>setc</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3156480" xml-lang="en-US"> +<image id="img_id3156486" src="media/helpimg/starmath/op21421.svg" width="1cm" height="1cm"><alt id="alt_id3156486" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3156600" xml-lang="en-US">Complex number</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN113E5" xml-lang="en-US"> +<literal>setminus</literal> or <literal>bslash</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3145932" xml-lang="en-US"> +<image id="img_id3145938" src="media/helpimg/starmath/op21407.svg" width="1cm" height="1cm"><alt id="alt_id3145938" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3146052" xml-lang="en-US">Difference between sets</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN116BF" xml-lang="en-US" localize="false"> +<literal>setn</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163149" xml-lang="en-US"> +<image id="img_id3163156" src="media/helpimg/starmath/op21417.svg" width="1cm" height="1cm"><alt id="alt_id3163156" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163269" xml-lang="en-US">Natural number</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN11743" xml-lang="en-US" localize="false"> +<literal>setq</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163444" xml-lang="en-US"> +<image id="img_id3163450" src="media/helpimg/starmath/op21419.svg" width="1cm" height="1cm"><alt id="alt_id3163450" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163564" xml-lang="en-US">Rational number</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN11785" xml-lang="en-US" localize="false"> +<literal>setr</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163591" xml-lang="en-US"> +<image id="img_id3163598" src="media/helpimg/starmath/op21420.svg" width="1cm" height="1cm"><alt id="alt_id3163598" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3156453" xml-lang="en-US">Real number</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN11701" xml-lang="en-US" localize="false"> +<literal>setz</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163296" xml-lang="en-US"> +<image id="img_id3163303" src="media/helpimg/starmath/op21418.svg" width="1cm" height="1cm"><alt id="alt_id3163303" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3163416" xml-lang="en-US">Integer</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN1142B" xml-lang="en-US" localize="false"> +<literal>slash</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3146357" xml-lang="en-US"> +<image id="img_id3146363" src="media/helpimg/starmath/op21408.svg" width="1cm" height="1cm"><alt id="alt_id3146363" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3146477" xml-lang="en-US">Slash / for quotient set (slash) between characters</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN114AF" xml-lang="en-US" localize="false"> +<literal>subset</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3146652" xml-lang="en-US"> +<image id="img_id3146659" src="media/helpimg/starmath/op21409.svg" width="1cm" height="1cm"><alt id="alt_id3146659" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3146772" xml-lang="en-US">Subset</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN114F1" xml-lang="en-US" localize="false"> +<literal>subseteq</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3146800" xml-lang="en-US"> +<image id="img_id3146806" src="media/helpimg/starmath/op21410.svg" width="1cm" height="1cm"><alt id="alt_id3146806" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158496" xml-lang="en-US">Subset or equal to</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN11533" xml-lang="en-US" localize="false"> +<literal>supset</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158524" xml-lang="en-US"> +<image id="img_id3158530" src="media/helpimg/starmath/op21411.svg" width="1cm" height="1cm"><alt id="alt_id3158530" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158644" xml-lang="en-US">Superset</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN11575" xml-lang="en-US" localize="false"> +<literal>supseteq</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158671" xml-lang="en-US"> +<image id="img_id3158678" src="media/helpimg/starmath/op21412.svg" width="1cm" height="1cm"><alt id="alt_id3158678" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3158791" xml-lang="en-US">Superset or equal to</paragraph> +</tablecell> +</tablerow> +<tablerow> +<tablecell> +<paragraph role="tablecontent" id="par_idN113A3" xml-lang="en-US" localize="false"> +<literal>union</literal> +</paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3152548" xml-lang="en-US"> +<image id="img_id3152555" src="media/helpimg/starmath/op21406.svg" width="1cm" height="1cm"><alt id="alt_id3152555" xml-lang="en-US">Icon</alt> + </image></paragraph> +</tablecell> +<tablecell> +<paragraph role="tablecontent" id="par_id3145904" xml-lang="en-US">Union of sets</paragraph> +</tablecell> +</tablerow> +</table> +<section id="relatedtopics"> +<embed href="text/smath/01/03090800.xhp#mengenop"/> +<embed href="text/smath/01/03091500.xhp#reference"/> +</section> +</body> +</helpdocument> |