1cdf0e10cSrcweir<?xml version="1.0" encoding="UTF-8"?> 2cdf0e10cSrcweir 3cdf0e10cSrcweir 4*52ac0773SAndrew Rist<!--*********************************************************** 5*52ac0773SAndrew Rist * 6*52ac0773SAndrew Rist * Licensed to the Apache Software Foundation (ASF) under one 7*52ac0773SAndrew Rist * or more contributor license agreements. See the NOTICE file 8*52ac0773SAndrew Rist * distributed with this work for additional information 9*52ac0773SAndrew Rist * regarding copyright ownership. The ASF licenses this file 10*52ac0773SAndrew Rist * to you under the Apache License, Version 2.0 (the 11*52ac0773SAndrew Rist * "License"); you may not use this file except in compliance 12*52ac0773SAndrew Rist * with the License. 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See the License for the 20*52ac0773SAndrew Rist * specific language governing permissions and limitations 21*52ac0773SAndrew Rist * under the License. 22*52ac0773SAndrew Rist * 23*52ac0773SAndrew Rist ***********************************************************--> 24*52ac0773SAndrew Rist 25*52ac0773SAndrew Rist 26cdf0e10cSrcweir 27cdf0e10cSrcweir<helpdocument version="1.0"> 28cdf0e10cSrcweir<meta> 29cdf0e10cSrcweir<topic id="textsmath0103090800xml" indexer="include" status="PUBLISH"> 30cdf0e10cSrcweir<title id="tit" xml-lang="en-US">Set Operations</title> 31cdf0e10cSrcweir<filename>/text/smath/01/03090800.xhp</filename> 32cdf0e10cSrcweir</topic> 33cdf0e10cSrcweir<history> 34cdf0e10cSrcweir<created date="2003-10-31T00:00:00">Sun Microsystems, Inc.</created> 35cdf0e10cSrcweir<lastedited date="2004-08-02T12:06:42">converted from old format - fpe</lastedited> 36cdf0e10cSrcweir</history> 37cdf0e10cSrcweir</meta> 38cdf0e10cSrcweir<body> 39cdf0e10cSrcweir<section id="mengenop"> 40cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="index" id="bm_id3156318"><bookmark_value>set operations in $[officename]Math</bookmark_value> 41cdf0e10cSrcweir<bookmark_value>sets of numbers</bookmark_value> 42cdf0e10cSrcweir<bookmark_value>included in set operator</bookmark_value> 43cdf0e10cSrcweir<bookmark_value>not included in set operator</bookmark_value> 44cdf0e10cSrcweir<bookmark_value>owns command</bookmark_value> 45cdf0e10cSrcweir<bookmark_value>includes set operator</bookmark_value> 46cdf0e10cSrcweir<bookmark_value>empty set</bookmark_value> 47cdf0e10cSrcweir<bookmark_value>intersection of sets</bookmark_value> 48cdf0e10cSrcweir<bookmark_value>union of sets</bookmark_value> 49cdf0e10cSrcweir<bookmark_value>difference set operator</bookmark_value> 50cdf0e10cSrcweir<bookmark_value>quotient set</bookmark_value> 51cdf0e10cSrcweir<bookmark_value>cardinal numbers</bookmark_value> 52cdf0e10cSrcweir<bookmark_value>subset set operators</bookmark_value> 53cdf0e10cSrcweir<bookmark_value>superset set operators</bookmark_value> 54cdf0e10cSrcweir<bookmark_value>not subset set operators</bookmark_value> 55cdf0e10cSrcweir<bookmark_value>not superset set operators</bookmark_value> 56cdf0e10cSrcweir<bookmark_value>natural numbers</bookmark_value> 57cdf0e10cSrcweir<bookmark_value>whole numbers</bookmark_value> 58cdf0e10cSrcweir<bookmark_value>real numbers</bookmark_value> 59cdf0e10cSrcweir<bookmark_value>complex numbers; set</bookmark_value> 60cdf0e10cSrcweir<bookmark_value>rational numbers</bookmark_value> 61cdf0e10cSrcweir</bookmark> 62cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETOPERATIONS_TBX" id="bm_id3145205" localize="false"/> 63cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETOPERATIONS_CAT" id="bm_id3145208" localize="false"/> 64cdf0e10cSrcweir<paragraph role="heading" id="hd_id3156318" xml-lang="en-US" level="1" l10n="U" oldref="1"><link href="text/smath/01/03090800.xhp" name="Set Operations">Set Operations</link></paragraph> 65cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3154641" xml-lang="en-US" l10n="U" oldref="2"><ahelp hid="HID_SMA_SETOPERATIONS_CAT">Assign different set operators to the characters in your <emph>$[officename] Math</emph> formula. The individual operators are shown in the lower section of the Elements window</ahelp>. Call the <link href="text/shared/00/00000001.xhp#kontextmenue" name="context menu">context menu</link> in the <emph>Commands</emph> window to see an identical list of the individual functions. Any operators not found in the Elements window 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.</paragraph> 66cdf0e10cSrcweir</section> 67cdf0e10cSrcweir<section id="howtoget"> 68cdf0e10cSrcweir <embed href="text/smath/00/00000004.xhp#astfab"/> 69cdf0e10cSrcweir</section> 70cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149290" xml-lang="en-US" l10n="U" oldref="3">After clicking the <emph>Set Operations</emph> icon in the Elements window additional icons will be shown in the lower part of this window. Simply click a symbol to incorporate the operator in the formula being edited in the Commands window.</paragraph> 71cdf0e10cSrcweir<paragraph role="heading" id="hd_id3147258" xml-lang="en-US" level="3" l10n="U" oldref="4">The set operations in detail:</paragraph> 72cdf0e10cSrcweir<table id="tbl_id3151177"> 73cdf0e10cSrcweir<tablerow> 74cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 75cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10081" xml-lang="en-US" l10n="F"> 76cdf0e10cSrcweir<image id="img_id3145418" src="starmath/res/op21401.png" width="8.47mm" height="8.47mm"><alt id="alt_id3145418" xml-lang="en-US">Icon</alt> 77cdf0e10cSrcweir </image></paragraph> 78cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XINY" id="bm_id3147512" localize="false"/> 79cdf0e10cSrcweir</tablecell> 80cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 81cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3154275" xml-lang="en-US" l10n="U" oldref="33">is included in</paragraph> 82cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3150706" xml-lang="en-US" l10n="U" oldref="34"><ahelp hid="HID_SMA_XINY">Use the icon to insert the <emph>is included in</emph> set operator with two placeholders.</ahelp> You can also enter <emph><?> in <?></emph> directly into the Commands window.</paragraph> 83cdf0e10cSrcweir</tablecell> 84cdf0e10cSrcweir</tablerow> 85cdf0e10cSrcweir</table> 86cdf0e10cSrcweir 87cdf0e10cSrcweir<table id="tbl_id3154603"> 88cdf0e10cSrcweir<tablerow> 89cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 90cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN100BC" xml-lang="en-US" l10n="F"> 91cdf0e10cSrcweir<image id="img_id3153782" src="starmath/res/op21402.png" width="8.47mm" height="8.47mm"><alt id="alt_id3153782" xml-lang="en-US">Icon</alt> 92cdf0e10cSrcweir </image></paragraph> 93cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNOTINY" id="bm_id3153669" localize="false"/> 94cdf0e10cSrcweir</tablecell> 95cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 96cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3150984" xml-lang="en-US" l10n="U" oldref="35">is not included in</paragraph> 97cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3150997" xml-lang="en-US" l10n="U" oldref="36"><ahelp hid="HID_SMA_XNOTINY">Use this icon to insert the <emph>is not included in</emph> set operator with two placeholders.</ahelp> You can also enter <emph><?> notin <?> </emph>in the Commands window.</paragraph> 98cdf0e10cSrcweir</tablecell> 99cdf0e10cSrcweir</tablerow> 100cdf0e10cSrcweir</table> 101cdf0e10cSrcweir 102cdf0e10cSrcweir<table id="tbl_id3150357"> 103cdf0e10cSrcweir<tablerow> 104cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 105cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN100F7" xml-lang="en-US" l10n="F"> 106cdf0e10cSrcweir<image id="img_id3150972" src="starmath/res/op21403.png" width="8.47mm" height="8.47mm"><alt id="alt_id3150972" xml-lang="en-US">Icon</alt> 107cdf0e10cSrcweir </image></paragraph> 108cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XOWNSY" id="bm_id3150835" localize="false"/> 109cdf0e10cSrcweir</tablecell> 110cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 111cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149688" xml-lang="en-US" l10n="U" oldref="53">includes</paragraph> 112cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149338" xml-lang="en-US" l10n="U" oldref="52"><ahelp hid="HID_SMA_XOWNSY">Use this icon to insert the set operator <emph>includes </emph>with two placeholders.</ahelp> You can also enter <emph><?> owns <?></emph> or <emph><?> ni <?></emph> directly in the Commands window.</paragraph> 113cdf0e10cSrcweir</tablecell> 114cdf0e10cSrcweir</tablerow> 115cdf0e10cSrcweir</table> 116cdf0e10cSrcweir 117cdf0e10cSrcweir<table id="tbl_id3149300"> 118cdf0e10cSrcweir<tablerow> 119cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 120cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10135" xml-lang="en-US" l10n="F"> 121cdf0e10cSrcweir<image id="img_id3155180" src="starmath/res/op22002.png" width="8.47mm" height="8.47mm"><alt id="alt_id3155180" xml-lang="en-US">Icon</alt> 122cdf0e10cSrcweir </image></paragraph> 123cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_EMPTYSET" id="bm_id3143282" localize="false"/> 124cdf0e10cSrcweir</tablecell> 125cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 126cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149101" xml-lang="en-US" l10n="U" oldref="75">empty set</paragraph> 127cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3154829" xml-lang="en-US" l10n="U" oldref="74"><ahelp hid="HID_SMA_EMPTYSET">Use this icon to insert an <emph>empty set</emph>.</ahelp> Enter <emph>emptyset</emph> in the Commands window, in order to insert an empty set into your document.</paragraph> 128cdf0e10cSrcweir</tablecell> 129cdf0e10cSrcweir</tablerow> 130cdf0e10cSrcweir</table> 131cdf0e10cSrcweir 132cdf0e10cSrcweir<table id="tbl_id3149788"> 133cdf0e10cSrcweir<tablerow> 134cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 135cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1016E" xml-lang="en-US" l10n="F"> 136cdf0e10cSrcweir<image id="img_id3147093" src="starmath/res/op21405.png" width="8.47mm" height="8.47mm"><alt id="alt_id3147093" xml-lang="en-US">Icon</alt> 137cdf0e10cSrcweir </image></paragraph> 138cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XINTERSECTIONY" id="bm_id3154904" localize="false"/> 139cdf0e10cSrcweir</tablecell> 140cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 141cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149035" xml-lang="en-US" l10n="U" oldref="55">Intersection</paragraph> 142cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3147573" xml-lang="en-US" l10n="U" oldref="54"><ahelp hid="HID_SMA_XINTERSECTIONY">Use this icon to insert two placeholders with the set operator <emph>intersection of sets </emph>.</ahelp> The same happens if you enter <emph><?> intersection <?></emph> Commands window.</paragraph> 143cdf0e10cSrcweir</tablecell> 144cdf0e10cSrcweir</tablerow> 145cdf0e10cSrcweir</table> 146cdf0e10cSrcweir 147cdf0e10cSrcweir<table id="tbl_id3152779"> 148cdf0e10cSrcweir<tablerow> 149cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 150cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN101A7" xml-lang="en-US" l10n="F"> 151cdf0e10cSrcweir<image id="img_id3155147" src="starmath/res/op21406.png" width="8.47mm" height="8.47mm"><alt id="alt_id3155147" xml-lang="en-US">Icon</alt> 152cdf0e10cSrcweir </image></paragraph> 153cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XUNIONY" id="bm_id3147084" localize="false"/> 154cdf0e10cSrcweir</tablecell> 155cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 156cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3147130" xml-lang="en-US" l10n="U" oldref="57">Union</paragraph> 157cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3154376" xml-lang="en-US" l10n="U" oldref="56"><ahelp hid="HID_SMA_XUNIONY">Use this icon to insert the <emph>union</emph> set operator with two placeholders.</ahelp> You can also enter <emph><?> union <?> </emph>directly in the Commands window.</paragraph> 158cdf0e10cSrcweir</tablecell> 159cdf0e10cSrcweir</tablerow> 160cdf0e10cSrcweir</table> 161cdf0e10cSrcweir 162cdf0e10cSrcweir<table id="tbl_id3149178"> 163cdf0e10cSrcweir<tablerow> 164cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 165cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN101E0" xml-lang="en-US" l10n="F"> 166cdf0e10cSrcweir<image id="img_id3154922" src="starmath/res/op21407.png" width="8.47mm" height="8.47mm"><alt id="alt_id3154922" xml-lang="en-US">Icon</alt> 167cdf0e10cSrcweir </image></paragraph> 168cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSETMINUSY" id="bm_id3151034" localize="false"/> 169cdf0e10cSrcweir</tablecell> 170cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 171cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3145774" xml-lang="en-US" l10n="U" oldref="59">Difference</paragraph> 172cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3145786" xml-lang="en-US" l10n="U" oldref="58"><ahelp hid="HID_SMA_XSETMINUSY">Use this icon to insert the <emph>difference</emph> set operator.</ahelp> You can also enter <emph><?> setminus <?></emph> or <emph><?> bslash <?></emph> in the Commands window.</paragraph> 173cdf0e10cSrcweir</tablecell> 174cdf0e10cSrcweir</tablerow> 175cdf0e10cSrcweir</table> 176cdf0e10cSrcweir 177cdf0e10cSrcweir<table id="tbl_id3156378"> 178cdf0e10cSrcweir<tablerow> 179cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 180cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1021C" xml-lang="en-US" l10n="F"> 181cdf0e10cSrcweir<image id="img_id3148889" src="starmath/res/op21408.png" width="8.47mm" height="8.47mm"><alt id="alt_id3148889" xml-lang="en-US">Icon</alt> 182cdf0e10cSrcweir </image></paragraph> 183cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSLASHY" id="bm_id3155918" localize="false"/> 184cdf0e10cSrcweir</tablecell> 185cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 186cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149536" xml-lang="en-US" l10n="U" oldref="60">Quotient set</paragraph> 187cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149549" xml-lang="en-US" l10n="U" oldref="51"><ahelp hid="HID_SMA_XSLASHY">Use this icon to insert a slash for creating a <emph>quotient set</emph> with two placeholders.</ahelp> Enter <emph><?>slash<?></emph> in the Commands window, to achieve the same result.</paragraph> 188cdf0e10cSrcweir</tablecell> 189cdf0e10cSrcweir</tablerow> 190cdf0e10cSrcweir</table> 191cdf0e10cSrcweir 192cdf0e10cSrcweir<table id="tbl_id3150693"> 193cdf0e10cSrcweir<tablerow> 194cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 195cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10255" xml-lang="en-US" l10n="F"> 196cdf0e10cSrcweir<image id="img_id3147473" src="starmath/res/op22001.png" width="8.47mm" height="8.47mm"><alt id="alt_id3147473" xml-lang="en-US">Icon</alt> 197cdf0e10cSrcweir </image></paragraph> 198cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ALEPH" id="bm_id3147490" localize="false"/> 199cdf0e10cSrcweir</tablecell> 200cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 201cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3147500" xml-lang="en-US" l10n="U" oldref="77">aleph</paragraph> 202cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3145263" xml-lang="en-US" l10n="U" oldref="76"><ahelp hid="HID_SMA_ALEPH">Use this icon to insert a <emph>cardinal number</emph>. </ahelp> You can achieve the same result by entering <emph>aleph</emph> in the Commands window.</paragraph> 203cdf0e10cSrcweir</tablecell> 204cdf0e10cSrcweir</tablerow> 205cdf0e10cSrcweir</table> 206cdf0e10cSrcweir 207cdf0e10cSrcweir<table id="tbl_id3145134"> 208cdf0e10cSrcweir<tablerow> 209cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 210cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1028E" xml-lang="en-US" l10n="F"> 211cdf0e10cSrcweir<image id="img_id3155974" src="starmath/res/op21409.png" width="8.47mm" height="8.47mm"><alt id="alt_id3155974" xml-lang="en-US">Icon</alt> 212cdf0e10cSrcweir </image></paragraph> 213cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSUBSETY" id="bm_id3150552" localize="false"/> 214cdf0e10cSrcweir</tablecell> 215cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 216cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3150561" xml-lang="en-US" l10n="U" oldref="62">Subset</paragraph> 217cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3156227" xml-lang="en-US" l10n="U" oldref="61"><ahelp hid="HID_SMA_XSUBSETY">Use this icon to insert the <emph>is a subset of</emph> set operator.</ahelp> You can also enter <emph><?>subset<?></emph> directly in the Commands window.</paragraph> 218cdf0e10cSrcweir</tablecell> 219cdf0e10cSrcweir</tablerow> 220cdf0e10cSrcweir</table> 221cdf0e10cSrcweir 222cdf0e10cSrcweir<table id="tbl_id3146329"> 223cdf0e10cSrcweir<tablerow> 224cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 225cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN102C9" xml-lang="en-US" l10n="F"> 226cdf0e10cSrcweir<image id="img_id3147119" src="starmath/res/op21410.png" width="8.47mm" height="8.47mm"><alt id="alt_id3147119" xml-lang="en-US">Icon</alt> 227cdf0e10cSrcweir </image></paragraph> 228cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSUBSETEQY" id="bm_id3147600" localize="false"/> 229cdf0e10cSrcweir</tablecell> 230cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 231cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3147448" xml-lang="en-US" l10n="U" oldref="64">Subset or equal to</paragraph> 232cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3147460" xml-lang="en-US" l10n="U" oldref="63"><ahelp hid="HID_SMA_XSUBSETEQY">Use this icon to insert the <emph>is a subset or equal to</emph> set operator with two placeholders.</ahelp> You can also enter <emph><?>subseteq<?></emph> in the Commands window.</paragraph> 233cdf0e10cSrcweir</tablecell> 234cdf0e10cSrcweir</tablerow> 235cdf0e10cSrcweir</table> 236cdf0e10cSrcweir 237cdf0e10cSrcweir<table id="tbl_id3155562"> 238cdf0e10cSrcweir<tablerow> 239cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 240cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10304" xml-lang="en-US" l10n="F"> 241cdf0e10cSrcweir<image id="img_id3147065" src="starmath/res/op21411.png" width="8.47mm" height="8.47mm"><alt id="alt_id3147065" xml-lang="en-US">Icon</alt> 242cdf0e10cSrcweir </image></paragraph> 243cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSUPSETY" id="bm_id3154779" localize="false"/> 244cdf0e10cSrcweir</tablecell> 245cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 246cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3154788" xml-lang="en-US" l10n="U" oldref="66">Superset</paragraph> 247cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3151088" xml-lang="en-US" l10n="U" oldref="65"><ahelp hid="HID_SMA_XSUPSETY">Use this icon to insert the set operator <emph>is a superset of</emph> and two placeholders.</ahelp> You can also enter <emph><?>supset<?></emph> in the Commands window.</paragraph> 248cdf0e10cSrcweir</tablecell> 249cdf0e10cSrcweir</tablerow> 250cdf0e10cSrcweir</table> 251cdf0e10cSrcweir 252cdf0e10cSrcweir<table id="tbl_id3153789"> 253cdf0e10cSrcweir<tablerow> 254cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 255cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1033F" xml-lang="en-US" l10n="F"> 256cdf0e10cSrcweir<image id="img_id3154590" src="starmath/res/op21412.png" width="8.47mm" height="8.47mm"><alt id="alt_id3154590" xml-lang="en-US">Icon</alt> 257cdf0e10cSrcweir </image></paragraph> 258cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSUPSETEQY" id="bm_id3153295" localize="false"/> 259cdf0e10cSrcweir</tablecell> 260cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 261cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3153305" xml-lang="en-US" l10n="U" oldref="68">Superset or equal to</paragraph> 262cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3151119" xml-lang="en-US" l10n="U" oldref="67"><ahelp hid="HID_SMA_XSUPSETEQY">Use this icon to insert the set operator <emph>is a super set or equal to</emph> with two placeholders.</ahelp> Alternatively, you can enter <emph><?>supseteq<?> </emph>in the Commands window.</paragraph> 263cdf0e10cSrcweir</tablecell> 264cdf0e10cSrcweir</tablerow> 265cdf0e10cSrcweir</table> 266cdf0e10cSrcweir 267cdf0e10cSrcweir<table id="tbl_id3145344"> 268cdf0e10cSrcweir<tablerow> 269cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 270cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1037A" xml-lang="en-US" l10n="F"> 271cdf0e10cSrcweir<image id="img_id3149318" src="starmath/res/op21413.png" width="8.47mm" height="8.47mm"><alt id="alt_id3149318" xml-lang="en-US">Icon</alt> 272cdf0e10cSrcweir </image></paragraph> 273cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNSUBSETY" id="bm_id3149324" localize="false"/> 274cdf0e10cSrcweir</tablecell> 275cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 276cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3150454" xml-lang="en-US" l10n="U" oldref="69">not subset</paragraph> 277cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3153968" xml-lang="en-US" l10n="U" oldref="47"><ahelp hid="HID_SMA_XNSUBSETY">Use this icon to insert the <emph>not subset</emph> set operator with two placeholders.</ahelp> Instead of this, you can also enter <emph><?>nsubset<?></emph>.</paragraph> 278cdf0e10cSrcweir</tablecell> 279cdf0e10cSrcweir</tablerow> 280cdf0e10cSrcweir</table> 281cdf0e10cSrcweir 282cdf0e10cSrcweir<table id="tbl_id3150920"> 283cdf0e10cSrcweir<tablerow> 284cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 285cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN103B7" xml-lang="en-US" l10n="F"> 286cdf0e10cSrcweir<image id="img_id3151193" src="starmath/res/op21414.png" width="8.47mm" height="8.47mm"><alt id="alt_id3151193" xml-lang="en-US">Icon</alt> 287cdf0e10cSrcweir </image></paragraph> 288cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNSUBSETEQY" id="bm_id3149778" localize="false"/> 289cdf0e10cSrcweir</tablecell> 290cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 291cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149236" xml-lang="en-US" l10n="U" oldref="70">not subset or equal to</paragraph> 292cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149249" xml-lang="en-US" l10n="U" oldref="49"><ahelp hid="HID_SMA_XNSUBSETEQY">Use this icon to insert the <emph>not subset or equal</emph> set operator with two placeholders.</ahelp> You can also enter <emph><?>nsubseteq<?> </emph>in the Commands window.</paragraph> 293cdf0e10cSrcweir</tablecell> 294cdf0e10cSrcweir</tablerow> 295cdf0e10cSrcweir</table> 296cdf0e10cSrcweir 297cdf0e10cSrcweir<table id="tbl_id3153231"> 298cdf0e10cSrcweir<tablerow> 299cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 300cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN103F4" xml-lang="en-US" l10n="F"> 301cdf0e10cSrcweir<image id="img_id3146956" src="starmath/res/op21415.png" width="8.47mm" height="8.47mm"><alt id="alt_id3146956" xml-lang="en-US">Icon</alt> 302cdf0e10cSrcweir </image></paragraph> 303cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNSUPSETY" id="bm_id3148787" localize="false"/> 304cdf0e10cSrcweir</tablecell> 305cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 306cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3148796" xml-lang="en-US" l10n="U" oldref="71">not superset</paragraph> 307cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149995" xml-lang="en-US" l10n="U" oldref="48"><ahelp hid="HID_SMA_XNSUPSETY">Use this icon to insert the <emph>not superset</emph> set operator with two placeholders.</ahelp> You can also enter <emph><?>nsupset<?> </emph>in the Commands window.</paragraph> 308cdf0e10cSrcweir</tablecell> 309cdf0e10cSrcweir</tablerow> 310cdf0e10cSrcweir</table> 311cdf0e10cSrcweir 312cdf0e10cSrcweir<table id="tbl_id3149357"> 313cdf0e10cSrcweir<tablerow> 314cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 315cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10431" xml-lang="en-US" l10n="F"> 316cdf0e10cSrcweir<image id="img_id3151223" src="starmath/res/op21416.png" width="8.47mm" height="8.47mm"><alt id="alt_id3151223" xml-lang="en-US">Icon</alt> 317cdf0e10cSrcweir </image></paragraph> 318cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNSUPSETEQY" id="bm_id3151229" localize="false"/> 319cdf0e10cSrcweir</tablecell> 320cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 321cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3155798" xml-lang="en-US" l10n="U" oldref="72">not superset or equal to</paragraph> 322cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3155810" xml-lang="en-US" l10n="U" oldref="50"><ahelp hid="HID_SMA_XNSUPSETEQY">Use this icon to insert the <emph>not superset or equal</emph> set operator with two placeholders.</ahelp> Instead of this you can type <emph><?>nsupseteq<?> </emph>in the Commands window.</paragraph> 323cdf0e10cSrcweir</tablecell> 324cdf0e10cSrcweir</tablerow> 325cdf0e10cSrcweir</table> 326cdf0e10cSrcweir 327cdf0e10cSrcweir<table id="tbl_id3154243"> 328cdf0e10cSrcweir<tablerow> 329cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 330cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1046E" xml-lang="en-US" l10n="F"> 331cdf0e10cSrcweir<image id="img_id3156087" src="starmath/res/op21417.png" width="8.47mm" height="8.47mm"><alt id="alt_id3156087" xml-lang="en-US">Icon</alt> 332cdf0e10cSrcweir </image></paragraph> 333cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETN" id="bm_id3148805" localize="false"/> 334cdf0e10cSrcweir</tablecell> 335cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 336cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3148815" xml-lang="en-US" l10n="U" oldref="79">Set of natural numbers</paragraph> 337cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3154352" xml-lang="en-US" l10n="U" oldref="78"><ahelp hid="HID_SMA_SETN">Use this icon to insert a character for the <emph>set of natural numbers</emph>.</ahelp> Instead of this, you can enter <emph>setn</emph> in the Commands window.</paragraph> 338cdf0e10cSrcweir</tablecell> 339cdf0e10cSrcweir</tablerow> 340cdf0e10cSrcweir</table> 341cdf0e10cSrcweir 342cdf0e10cSrcweir<table id="tbl_id3154613"> 343cdf0e10cSrcweir<tablerow> 344cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 345cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN104A7" xml-lang="en-US" l10n="F"> 346cdf0e10cSrcweir<image id="img_id3147383" src="starmath/res/op21418.png" width="8.47mm" height="8.47mm"><alt id="alt_id3147383" xml-lang="en-US">Icon</alt> 347cdf0e10cSrcweir </image></paragraph> 348cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETZ" id="bm_id3154008" localize="false"/> 349cdf0e10cSrcweir</tablecell> 350cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 351cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149628" xml-lang="en-US" l10n="U" oldref="81">Set of whole numbers</paragraph> 352cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149641" xml-lang="en-US" l10n="U" oldref="80"><ahelp hid="HID_SMA_SETZ">Use this icon to insert a character for the <emph>set of whole numbers</emph>.</ahelp> You can also do this by entering <emph>setz</emph> in the Commands window.</paragraph> 353cdf0e10cSrcweir</tablecell> 354cdf0e10cSrcweir</tablerow> 355cdf0e10cSrcweir</table> 356cdf0e10cSrcweir 357cdf0e10cSrcweir<table id="tbl_id3150669"> 358cdf0e10cSrcweir<tablerow> 359cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 360cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN104E0" xml-lang="en-US" l10n="F"> 361cdf0e10cSrcweir<image id="img_id3154038" src="starmath/res/op21419.png" width="8.47mm" height="8.47mm"><alt id="alt_id3154038" xml-lang="en-US">Icon</alt> 362cdf0e10cSrcweir </image></paragraph> 363cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETQ" id="bm_id3149951" localize="false"/> 364cdf0e10cSrcweir</tablecell> 365cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 366cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149961" xml-lang="en-US" l10n="U" oldref="83">Set of rational numbers</paragraph> 367cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149974" xml-lang="en-US" l10n="U" oldref="82"><ahelp hid="HID_SMA_SETQ">Use this icon to insert a character for the <emph>set of rational numbers</emph>.</ahelp> You can also do this by directly entering <emph>setq</emph> in the Commands window.</paragraph> 368cdf0e10cSrcweir</tablecell> 369cdf0e10cSrcweir</tablerow> 370cdf0e10cSrcweir</table> 371cdf0e10cSrcweir 372cdf0e10cSrcweir<table id="tbl_id3147286"> 373cdf0e10cSrcweir<tablerow> 374cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 375cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10519" xml-lang="en-US" l10n="F"> 376cdf0e10cSrcweir<image id="img_id3149625" src="starmath/res/op21420.png" width="8.47mm" height="8.47mm"><alt id="alt_id3149625" xml-lang="en-US">Icon</alt> 377cdf0e10cSrcweir </image></paragraph> 378cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETR" id="bm_id3145653" localize="false"/> 379cdf0e10cSrcweir</tablecell> 380cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 381cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3145663" xml-lang="en-US" l10n="U" oldref="85">Set of real numbers</paragraph> 382cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3148709" xml-lang="en-US" l10n="U" oldref="84"><ahelp hid="HID_SMA_SETR">Use this icon to insert a character for the <emph>set of real numbers</emph>.</ahelp> Instead of this, you can enter <emph>setr</emph> in the Commands window.</paragraph> 383cdf0e10cSrcweir</tablecell> 384cdf0e10cSrcweir</tablerow> 385cdf0e10cSrcweir</table> 386cdf0e10cSrcweir 387cdf0e10cSrcweir<table id="tbl_id3155359"> 388cdf0e10cSrcweir<tablerow> 389cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 390cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10552" xml-lang="en-US" l10n="F"> 391cdf0e10cSrcweir<image id="img_id3155555" src="starmath/res/op21421.png" width="8.47mm" height="8.47mm"><alt id="alt_id3155555" xml-lang="en-US">Icon</alt> 392cdf0e10cSrcweir </image></paragraph> 393cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETC" id="bm_id3149510" localize="false"/> 394cdf0e10cSrcweir</tablecell> 395cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 396cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149519" xml-lang="en-US" l10n="U" oldref="87">Set of complex numbers</paragraph> 397cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3148672" xml-lang="en-US" l10n="U" oldref="86"><ahelp hid="HID_SMA_SETC">Use this icon to insert a character for the <emph>set of complex numbers</emph>.</ahelp> You can also enter <emph>setc</emph> in the Commands window.</paragraph> 398cdf0e10cSrcweir</tablecell> 399cdf0e10cSrcweir</tablerow> 400cdf0e10cSrcweir</table> 401cdf0e10cSrcweir 402cdf0e10cSrcweir<paragraph role="warning" id="par_id3154224" xml-lang="en-US" l10n="U" oldref="73">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.</paragraph> 403cdf0e10cSrcweir</body> 404cdf0e10cSrcweir</helpdocument> 405
