1*b1cdbd2cSJim Jagielski<?xml version="1.0" encoding="UTF-8"?> 2*b1cdbd2cSJim Jagielski 3*b1cdbd2cSJim Jagielski 4*b1cdbd2cSJim Jagielski<!--*********************************************************** 5*b1cdbd2cSJim Jagielski * 6*b1cdbd2cSJim Jagielski * Licensed to the Apache Software Foundation (ASF) under one 7*b1cdbd2cSJim Jagielski * or more contributor license agreements. See the NOTICE file 8*b1cdbd2cSJim Jagielski * distributed with this work for additional information 9*b1cdbd2cSJim Jagielski * regarding copyright ownership. The ASF licenses this file 10*b1cdbd2cSJim Jagielski * to you under the Apache License, Version 2.0 (the 11*b1cdbd2cSJim Jagielski * "License"); you may not use this file except in compliance 12*b1cdbd2cSJim Jagielski * with the License. You may obtain a copy of the License at 13*b1cdbd2cSJim Jagielski * 14*b1cdbd2cSJim Jagielski * http://www.apache.org/licenses/LICENSE-2.0 15*b1cdbd2cSJim Jagielski * 16*b1cdbd2cSJim Jagielski * Unless required by applicable law or agreed to in writing, 17*b1cdbd2cSJim Jagielski * software distributed under the License is distributed on an 18*b1cdbd2cSJim Jagielski * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY 19*b1cdbd2cSJim Jagielski * KIND, either express or implied. See the License for the 20*b1cdbd2cSJim Jagielski * specific language governing permissions and limitations 21*b1cdbd2cSJim Jagielski * under the License. 22*b1cdbd2cSJim Jagielski * 23*b1cdbd2cSJim Jagielski ***********************************************************--> 24*b1cdbd2cSJim Jagielski 25*b1cdbd2cSJim Jagielski 26*b1cdbd2cSJim Jagielski 27*b1cdbd2cSJim Jagielski<helpdocument version="1.0"> 28*b1cdbd2cSJim Jagielski<meta> 29*b1cdbd2cSJim Jagielski<topic id="textsmath0103090800xml" indexer="include" status="PUBLISH"> 30*b1cdbd2cSJim Jagielski<title id="tit" xml-lang="en-US">Set Operations</title> 31*b1cdbd2cSJim Jagielski<filename>/text/smath/01/03090800.xhp</filename> 32*b1cdbd2cSJim Jagielski</topic> 33*b1cdbd2cSJim Jagielski<history> 34*b1cdbd2cSJim Jagielski<created date="2003-10-31T00:00:00">Sun Microsystems, Inc.</created> 35*b1cdbd2cSJim Jagielski<lastedited date="2004-08-02T12:06:42">converted from old format - fpe</lastedited> 36*b1cdbd2cSJim Jagielski</history> 37*b1cdbd2cSJim Jagielski</meta> 38*b1cdbd2cSJim Jagielski<body> 39*b1cdbd2cSJim Jagielski<section id="mengenop"> 40*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="index" id="bm_id3156318"><bookmark_value>set operations in $[officename]Math</bookmark_value> 41*b1cdbd2cSJim Jagielski<bookmark_value>sets of numbers</bookmark_value> 42*b1cdbd2cSJim Jagielski<bookmark_value>included in set operator</bookmark_value> 43*b1cdbd2cSJim Jagielski<bookmark_value>not included in set operator</bookmark_value> 44*b1cdbd2cSJim Jagielski<bookmark_value>owns command</bookmark_value> 45*b1cdbd2cSJim Jagielski<bookmark_value>includes set operator</bookmark_value> 46*b1cdbd2cSJim Jagielski<bookmark_value>empty set</bookmark_value> 47*b1cdbd2cSJim Jagielski<bookmark_value>intersection of sets</bookmark_value> 48*b1cdbd2cSJim Jagielski<bookmark_value>union of sets</bookmark_value> 49*b1cdbd2cSJim Jagielski<bookmark_value>difference set operator</bookmark_value> 50*b1cdbd2cSJim Jagielski<bookmark_value>quotient set</bookmark_value> 51*b1cdbd2cSJim Jagielski<bookmark_value>cardinal numbers</bookmark_value> 52*b1cdbd2cSJim Jagielski<bookmark_value>subset set operators</bookmark_value> 53*b1cdbd2cSJim Jagielski<bookmark_value>superset set operators</bookmark_value> 54*b1cdbd2cSJim Jagielski<bookmark_value>not subset set operators</bookmark_value> 55*b1cdbd2cSJim Jagielski<bookmark_value>not superset set operators</bookmark_value> 56*b1cdbd2cSJim Jagielski<bookmark_value>natural numbers</bookmark_value> 57*b1cdbd2cSJim Jagielski<bookmark_value>whole numbers</bookmark_value> 58*b1cdbd2cSJim Jagielski<bookmark_value>real numbers</bookmark_value> 59*b1cdbd2cSJim Jagielski<bookmark_value>complex numbers; set</bookmark_value> 60*b1cdbd2cSJim Jagielski<bookmark_value>rational numbers</bookmark_value> 61*b1cdbd2cSJim Jagielski</bookmark> 62*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETOPERATIONS_TBX" id="bm_id3145205" localize="false"/> 63*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETOPERATIONS_CAT" id="bm_id3145208" localize="false"/> 64*b1cdbd2cSJim Jagielski<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> 65*b1cdbd2cSJim Jagielski<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> 66*b1cdbd2cSJim Jagielski</section> 67*b1cdbd2cSJim Jagielski<section id="howtoget"> 68*b1cdbd2cSJim Jagielski <embed href="text/smath/00/00000004.xhp#astfab"/> 69*b1cdbd2cSJim Jagielski</section> 70*b1cdbd2cSJim Jagielski<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> 71*b1cdbd2cSJim Jagielski<paragraph role="heading" id="hd_id3147258" xml-lang="en-US" level="3" l10n="U" oldref="4">The set operations in detail:</paragraph> 72*b1cdbd2cSJim Jagielski<table id="tbl_id3151177"> 73*b1cdbd2cSJim Jagielski<tablerow> 74*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 75*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN10081" xml-lang="en-US" l10n="F"> 76*b1cdbd2cSJim Jagielski<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> 77*b1cdbd2cSJim Jagielski </image></paragraph> 78*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XINY" id="bm_id3147512" localize="false"/> 79*b1cdbd2cSJim Jagielski</tablecell> 80*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 81*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3154275" xml-lang="en-US" l10n="U" oldref="33">is included in</paragraph> 82*b1cdbd2cSJim Jagielski<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> 83*b1cdbd2cSJim Jagielski</tablecell> 84*b1cdbd2cSJim Jagielski</tablerow> 85*b1cdbd2cSJim Jagielski</table> 86*b1cdbd2cSJim Jagielski 87*b1cdbd2cSJim Jagielski<table id="tbl_id3154603"> 88*b1cdbd2cSJim Jagielski<tablerow> 89*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 90*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN100BC" xml-lang="en-US" l10n="F"> 91*b1cdbd2cSJim Jagielski<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> 92*b1cdbd2cSJim Jagielski </image></paragraph> 93*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNOTINY" id="bm_id3153669" localize="false"/> 94*b1cdbd2cSJim Jagielski</tablecell> 95*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 96*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3150984" xml-lang="en-US" l10n="U" oldref="35">is not included in</paragraph> 97*b1cdbd2cSJim Jagielski<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> 98*b1cdbd2cSJim Jagielski</tablecell> 99*b1cdbd2cSJim Jagielski</tablerow> 100*b1cdbd2cSJim Jagielski</table> 101*b1cdbd2cSJim Jagielski 102*b1cdbd2cSJim Jagielski<table id="tbl_id3150357"> 103*b1cdbd2cSJim Jagielski<tablerow> 104*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 105*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN100F7" xml-lang="en-US" l10n="F"> 106*b1cdbd2cSJim Jagielski<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> 107*b1cdbd2cSJim Jagielski </image></paragraph> 108*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XOWNSY" id="bm_id3150835" localize="false"/> 109*b1cdbd2cSJim Jagielski</tablecell> 110*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 111*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3149688" xml-lang="en-US" l10n="U" oldref="53">includes</paragraph> 112*b1cdbd2cSJim Jagielski<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> 113*b1cdbd2cSJim Jagielski</tablecell> 114*b1cdbd2cSJim Jagielski</tablerow> 115*b1cdbd2cSJim Jagielski</table> 116*b1cdbd2cSJim Jagielski 117*b1cdbd2cSJim Jagielski<table id="tbl_id3149300"> 118*b1cdbd2cSJim Jagielski<tablerow> 119*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 120*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN10135" xml-lang="en-US" l10n="F"> 121*b1cdbd2cSJim Jagielski<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> 122*b1cdbd2cSJim Jagielski </image></paragraph> 123*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_EMPTYSET" id="bm_id3143282" localize="false"/> 124*b1cdbd2cSJim Jagielski</tablecell> 125*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 126*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3149101" xml-lang="en-US" l10n="U" oldref="75">empty set</paragraph> 127*b1cdbd2cSJim Jagielski<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> 128*b1cdbd2cSJim Jagielski</tablecell> 129*b1cdbd2cSJim Jagielski</tablerow> 130*b1cdbd2cSJim Jagielski</table> 131*b1cdbd2cSJim Jagielski 132*b1cdbd2cSJim Jagielski<table id="tbl_id3149788"> 133*b1cdbd2cSJim Jagielski<tablerow> 134*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 135*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN1016E" xml-lang="en-US" l10n="F"> 136*b1cdbd2cSJim Jagielski<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> 137*b1cdbd2cSJim Jagielski </image></paragraph> 138*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XINTERSECTIONY" id="bm_id3154904" localize="false"/> 139*b1cdbd2cSJim Jagielski</tablecell> 140*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 141*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3149035" xml-lang="en-US" l10n="U" oldref="55">Intersection</paragraph> 142*b1cdbd2cSJim Jagielski<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> 143*b1cdbd2cSJim Jagielski</tablecell> 144*b1cdbd2cSJim Jagielski</tablerow> 145*b1cdbd2cSJim Jagielski</table> 146*b1cdbd2cSJim Jagielski 147*b1cdbd2cSJim Jagielski<table id="tbl_id3152779"> 148*b1cdbd2cSJim Jagielski<tablerow> 149*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 150*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN101A7" xml-lang="en-US" l10n="F"> 151*b1cdbd2cSJim Jagielski<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> 152*b1cdbd2cSJim Jagielski </image></paragraph> 153*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XUNIONY" id="bm_id3147084" localize="false"/> 154*b1cdbd2cSJim Jagielski</tablecell> 155*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 156*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3147130" xml-lang="en-US" l10n="U" oldref="57">Union</paragraph> 157*b1cdbd2cSJim Jagielski<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> 158*b1cdbd2cSJim Jagielski</tablecell> 159*b1cdbd2cSJim Jagielski</tablerow> 160*b1cdbd2cSJim Jagielski</table> 161*b1cdbd2cSJim Jagielski 162*b1cdbd2cSJim Jagielski<table id="tbl_id3149178"> 163*b1cdbd2cSJim Jagielski<tablerow> 164*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 165*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN101E0" xml-lang="en-US" l10n="F"> 166*b1cdbd2cSJim Jagielski<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> 167*b1cdbd2cSJim Jagielski </image></paragraph> 168*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSETMINUSY" id="bm_id3151034" localize="false"/> 169*b1cdbd2cSJim Jagielski</tablecell> 170*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 171*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3145774" xml-lang="en-US" l10n="U" oldref="59">Difference</paragraph> 172*b1cdbd2cSJim Jagielski<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> 173*b1cdbd2cSJim Jagielski</tablecell> 174*b1cdbd2cSJim Jagielski</tablerow> 175*b1cdbd2cSJim Jagielski</table> 176*b1cdbd2cSJim Jagielski 177*b1cdbd2cSJim Jagielski<table id="tbl_id3156378"> 178*b1cdbd2cSJim Jagielski<tablerow> 179*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 180*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN1021C" xml-lang="en-US" l10n="F"> 181*b1cdbd2cSJim Jagielski<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> 182*b1cdbd2cSJim Jagielski </image></paragraph> 183*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSLASHY" id="bm_id3155918" localize="false"/> 184*b1cdbd2cSJim Jagielski</tablecell> 185*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 186*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3149536" xml-lang="en-US" l10n="U" oldref="60">Quotient set</paragraph> 187*b1cdbd2cSJim Jagielski<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> 188*b1cdbd2cSJim Jagielski</tablecell> 189*b1cdbd2cSJim Jagielski</tablerow> 190*b1cdbd2cSJim Jagielski</table> 191*b1cdbd2cSJim Jagielski 192*b1cdbd2cSJim Jagielski<table id="tbl_id3150693"> 193*b1cdbd2cSJim Jagielski<tablerow> 194*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 195*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN10255" xml-lang="en-US" l10n="F"> 196*b1cdbd2cSJim Jagielski<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> 197*b1cdbd2cSJim Jagielski </image></paragraph> 198*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ALEPH" id="bm_id3147490" localize="false"/> 199*b1cdbd2cSJim Jagielski</tablecell> 200*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 201*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3147500" xml-lang="en-US" l10n="U" oldref="77">aleph</paragraph> 202*b1cdbd2cSJim Jagielski<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> 203*b1cdbd2cSJim Jagielski</tablecell> 204*b1cdbd2cSJim Jagielski</tablerow> 205*b1cdbd2cSJim Jagielski</table> 206*b1cdbd2cSJim Jagielski 207*b1cdbd2cSJim Jagielski<table id="tbl_id3145134"> 208*b1cdbd2cSJim Jagielski<tablerow> 209*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 210*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN1028E" xml-lang="en-US" l10n="F"> 211*b1cdbd2cSJim Jagielski<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> 212*b1cdbd2cSJim Jagielski </image></paragraph> 213*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSUBSETY" id="bm_id3150552" localize="false"/> 214*b1cdbd2cSJim Jagielski</tablecell> 215*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 216*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3150561" xml-lang="en-US" l10n="U" oldref="62">Subset</paragraph> 217*b1cdbd2cSJim Jagielski<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> 218*b1cdbd2cSJim Jagielski</tablecell> 219*b1cdbd2cSJim Jagielski</tablerow> 220*b1cdbd2cSJim Jagielski</table> 221*b1cdbd2cSJim Jagielski 222*b1cdbd2cSJim Jagielski<table id="tbl_id3146329"> 223*b1cdbd2cSJim Jagielski<tablerow> 224*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 225*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN102C9" xml-lang="en-US" l10n="F"> 226*b1cdbd2cSJim Jagielski<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> 227*b1cdbd2cSJim Jagielski </image></paragraph> 228*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSUBSETEQY" id="bm_id3147600" localize="false"/> 229*b1cdbd2cSJim Jagielski</tablecell> 230*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 231*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3147448" xml-lang="en-US" l10n="U" oldref="64">Subset or equal to</paragraph> 232*b1cdbd2cSJim Jagielski<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> 233*b1cdbd2cSJim Jagielski</tablecell> 234*b1cdbd2cSJim Jagielski</tablerow> 235*b1cdbd2cSJim Jagielski</table> 236*b1cdbd2cSJim Jagielski 237*b1cdbd2cSJim Jagielski<table id="tbl_id3155562"> 238*b1cdbd2cSJim Jagielski<tablerow> 239*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 240*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN10304" xml-lang="en-US" l10n="F"> 241*b1cdbd2cSJim Jagielski<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> 242*b1cdbd2cSJim Jagielski </image></paragraph> 243*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSUPSETY" id="bm_id3154779" localize="false"/> 244*b1cdbd2cSJim Jagielski</tablecell> 245*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 246*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3154788" xml-lang="en-US" l10n="U" oldref="66">Superset</paragraph> 247*b1cdbd2cSJim Jagielski<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> 248*b1cdbd2cSJim Jagielski</tablecell> 249*b1cdbd2cSJim Jagielski</tablerow> 250*b1cdbd2cSJim Jagielski</table> 251*b1cdbd2cSJim Jagielski 252*b1cdbd2cSJim Jagielski<table id="tbl_id3153789"> 253*b1cdbd2cSJim Jagielski<tablerow> 254*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 255*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN1033F" xml-lang="en-US" l10n="F"> 256*b1cdbd2cSJim Jagielski<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> 257*b1cdbd2cSJim Jagielski </image></paragraph> 258*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSUPSETEQY" id="bm_id3153295" localize="false"/> 259*b1cdbd2cSJim Jagielski</tablecell> 260*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 261*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3153305" xml-lang="en-US" l10n="U" oldref="68">Superset or equal to</paragraph> 262*b1cdbd2cSJim Jagielski<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> 263*b1cdbd2cSJim Jagielski</tablecell> 264*b1cdbd2cSJim Jagielski</tablerow> 265*b1cdbd2cSJim Jagielski</table> 266*b1cdbd2cSJim Jagielski 267*b1cdbd2cSJim Jagielski<table id="tbl_id3145344"> 268*b1cdbd2cSJim Jagielski<tablerow> 269*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 270*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN1037A" xml-lang="en-US" l10n="F"> 271*b1cdbd2cSJim Jagielski<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> 272*b1cdbd2cSJim Jagielski </image></paragraph> 273*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNSUBSETY" id="bm_id3149324" localize="false"/> 274*b1cdbd2cSJim Jagielski</tablecell> 275*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 276*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3150454" xml-lang="en-US" l10n="U" oldref="69">not subset</paragraph> 277*b1cdbd2cSJim Jagielski<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> 278*b1cdbd2cSJim Jagielski</tablecell> 279*b1cdbd2cSJim Jagielski</tablerow> 280*b1cdbd2cSJim Jagielski</table> 281*b1cdbd2cSJim Jagielski 282*b1cdbd2cSJim Jagielski<table id="tbl_id3150920"> 283*b1cdbd2cSJim Jagielski<tablerow> 284*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 285*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN103B7" xml-lang="en-US" l10n="F"> 286*b1cdbd2cSJim Jagielski<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> 287*b1cdbd2cSJim Jagielski </image></paragraph> 288*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNSUBSETEQY" id="bm_id3149778" localize="false"/> 289*b1cdbd2cSJim Jagielski</tablecell> 290*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 291*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3149236" xml-lang="en-US" l10n="U" oldref="70">not subset or equal to</paragraph> 292*b1cdbd2cSJim Jagielski<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> 293*b1cdbd2cSJim Jagielski</tablecell> 294*b1cdbd2cSJim Jagielski</tablerow> 295*b1cdbd2cSJim Jagielski</table> 296*b1cdbd2cSJim Jagielski 297*b1cdbd2cSJim Jagielski<table id="tbl_id3153231"> 298*b1cdbd2cSJim Jagielski<tablerow> 299*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 300*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN103F4" xml-lang="en-US" l10n="F"> 301*b1cdbd2cSJim Jagielski<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> 302*b1cdbd2cSJim Jagielski </image></paragraph> 303*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNSUPSETY" id="bm_id3148787" localize="false"/> 304*b1cdbd2cSJim Jagielski</tablecell> 305*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 306*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3148796" xml-lang="en-US" l10n="U" oldref="71">not superset</paragraph> 307*b1cdbd2cSJim Jagielski<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> 308*b1cdbd2cSJim Jagielski</tablecell> 309*b1cdbd2cSJim Jagielski</tablerow> 310*b1cdbd2cSJim Jagielski</table> 311*b1cdbd2cSJim Jagielski 312*b1cdbd2cSJim Jagielski<table id="tbl_id3149357"> 313*b1cdbd2cSJim Jagielski<tablerow> 314*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 315*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN10431" xml-lang="en-US" l10n="F"> 316*b1cdbd2cSJim Jagielski<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> 317*b1cdbd2cSJim Jagielski </image></paragraph> 318*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNSUPSETEQY" id="bm_id3151229" localize="false"/> 319*b1cdbd2cSJim Jagielski</tablecell> 320*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 321*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3155798" xml-lang="en-US" l10n="U" oldref="72">not superset or equal to</paragraph> 322*b1cdbd2cSJim Jagielski<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> 323*b1cdbd2cSJim Jagielski</tablecell> 324*b1cdbd2cSJim Jagielski</tablerow> 325*b1cdbd2cSJim Jagielski</table> 326*b1cdbd2cSJim Jagielski 327*b1cdbd2cSJim Jagielski<table id="tbl_id3154243"> 328*b1cdbd2cSJim Jagielski<tablerow> 329*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 330*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN1046E" xml-lang="en-US" l10n="F"> 331*b1cdbd2cSJim Jagielski<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> 332*b1cdbd2cSJim Jagielski </image></paragraph> 333*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETN" id="bm_id3148805" localize="false"/> 334*b1cdbd2cSJim Jagielski</tablecell> 335*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 336*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3148815" xml-lang="en-US" l10n="U" oldref="79">Set of natural numbers</paragraph> 337*b1cdbd2cSJim Jagielski<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> 338*b1cdbd2cSJim Jagielski</tablecell> 339*b1cdbd2cSJim Jagielski</tablerow> 340*b1cdbd2cSJim Jagielski</table> 341*b1cdbd2cSJim Jagielski 342*b1cdbd2cSJim Jagielski<table id="tbl_id3154613"> 343*b1cdbd2cSJim Jagielski<tablerow> 344*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 345*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN104A7" xml-lang="en-US" l10n="F"> 346*b1cdbd2cSJim Jagielski<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> 347*b1cdbd2cSJim Jagielski </image></paragraph> 348*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETZ" id="bm_id3154008" localize="false"/> 349*b1cdbd2cSJim Jagielski</tablecell> 350*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 351*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3149628" xml-lang="en-US" l10n="U" oldref="81">Set of whole numbers</paragraph> 352*b1cdbd2cSJim Jagielski<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> 353*b1cdbd2cSJim Jagielski</tablecell> 354*b1cdbd2cSJim Jagielski</tablerow> 355*b1cdbd2cSJim Jagielski</table> 356*b1cdbd2cSJim Jagielski 357*b1cdbd2cSJim Jagielski<table id="tbl_id3150669"> 358*b1cdbd2cSJim Jagielski<tablerow> 359*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 360*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN104E0" xml-lang="en-US" l10n="F"> 361*b1cdbd2cSJim Jagielski<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> 362*b1cdbd2cSJim Jagielski </image></paragraph> 363*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETQ" id="bm_id3149951" localize="false"/> 364*b1cdbd2cSJim Jagielski</tablecell> 365*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 366*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3149961" xml-lang="en-US" l10n="U" oldref="83">Set of rational numbers</paragraph> 367*b1cdbd2cSJim Jagielski<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> 368*b1cdbd2cSJim Jagielski</tablecell> 369*b1cdbd2cSJim Jagielski</tablerow> 370*b1cdbd2cSJim Jagielski</table> 371*b1cdbd2cSJim Jagielski 372*b1cdbd2cSJim Jagielski<table id="tbl_id3147286"> 373*b1cdbd2cSJim Jagielski<tablerow> 374*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 375*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN10519" xml-lang="en-US" l10n="F"> 376*b1cdbd2cSJim Jagielski<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> 377*b1cdbd2cSJim Jagielski </image></paragraph> 378*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETR" id="bm_id3145653" localize="false"/> 379*b1cdbd2cSJim Jagielski</tablecell> 380*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 381*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3145663" xml-lang="en-US" l10n="U" oldref="85">Set of real numbers</paragraph> 382*b1cdbd2cSJim Jagielski<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> 383*b1cdbd2cSJim Jagielski</tablecell> 384*b1cdbd2cSJim Jagielski</tablerow> 385*b1cdbd2cSJim Jagielski</table> 386*b1cdbd2cSJim Jagielski 387*b1cdbd2cSJim Jagielski<table id="tbl_id3155359"> 388*b1cdbd2cSJim Jagielski<tablerow> 389*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 390*b1cdbd2cSJim Jagielski<paragraph role="paragraph" id="par_idN10552" xml-lang="en-US" l10n="F"> 391*b1cdbd2cSJim Jagielski<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> 392*b1cdbd2cSJim Jagielski </image></paragraph> 393*b1cdbd2cSJim Jagielski<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SETC" id="bm_id3149510" localize="false"/> 394*b1cdbd2cSJim Jagielski</tablecell> 395*b1cdbd2cSJim Jagielski<tablecell colspan="" rowspan=""> 396*b1cdbd2cSJim Jagielski<paragraph role="tablehead" id="par_id3149519" xml-lang="en-US" l10n="U" oldref="87">Set of complex numbers</paragraph> 397*b1cdbd2cSJim Jagielski<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> 398*b1cdbd2cSJim Jagielski</tablecell> 399*b1cdbd2cSJim Jagielski</tablerow> 400*b1cdbd2cSJim Jagielski</table> 401*b1cdbd2cSJim Jagielski 402*b1cdbd2cSJim Jagielski<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> 403*b1cdbd2cSJim Jagielski</body> 404*b1cdbd2cSJim Jagielski</helpdocument> 405
