1*cdf0e10cSrcweir<?xml version="1.0" encoding="UTF-8"?> 2*cdf0e10cSrcweir 3*cdf0e10cSrcweir 4*cdf0e10cSrcweir<!--*********************************************************************** 5*cdf0e10cSrcweir * 6*cdf0e10cSrcweir * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. 7*cdf0e10cSrcweir * 8*cdf0e10cSrcweir * Copyright 2000, 2010 Oracle and/or its affiliates. 9*cdf0e10cSrcweir * 10*cdf0e10cSrcweir * OpenOffice.org - a multi-platform office productivity suite 11*cdf0e10cSrcweir * 12*cdf0e10cSrcweir * This file is part of OpenOffice.org. 13*cdf0e10cSrcweir * 14*cdf0e10cSrcweir * OpenOffice.org is free software: you can redistribute it and/or modify 15*cdf0e10cSrcweir * it under the terms of the GNU Lesser General Public License version 3 16*cdf0e10cSrcweir * only, as published by the Free Software Foundation. 17*cdf0e10cSrcweir * 18*cdf0e10cSrcweir * OpenOffice.org is distributed in the hope that it will be useful, 19*cdf0e10cSrcweir * but WITHOUT ANY WARRANTY; without even the implied warranty of 20*cdf0e10cSrcweir * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 21*cdf0e10cSrcweir * GNU Lesser General Public License version 3 for more details 22*cdf0e10cSrcweir * (a copy is included in the LICENSE file that accompanied this code). 23*cdf0e10cSrcweir * 24*cdf0e10cSrcweir * You should have received a copy of the GNU Lesser General Public License 25*cdf0e10cSrcweir * version 3 along with OpenOffice.org. If not, see 26*cdf0e10cSrcweir * <http://www.openoffice.org/license.html> 27*cdf0e10cSrcweir * for a copy of the LGPLv3 License. 28*cdf0e10cSrcweir * 29*cdf0e10cSrcweir ************************************************************************--> 30*cdf0e10cSrcweir 31*cdf0e10cSrcweir<helpdocument version="1.0"> 32*cdf0e10cSrcweir<meta> 33*cdf0e10cSrcweir<topic id="textsmath0103090200xml" indexer="include" status="PUBLISH"> 34*cdf0e10cSrcweir<title id="tit" xml-lang="en-US">Relations</title> 35*cdf0e10cSrcweir<filename>/text/smath/01/03090200.xhp</filename> 36*cdf0e10cSrcweir</topic> 37*cdf0e10cSrcweir<history> 38*cdf0e10cSrcweir<created date="2003-10-31T00:00:00">Sun Microsystems, Inc.</created> 39*cdf0e10cSrcweir<lastedited date="2004-09-06T11:25:01">converted from old format - fpe</lastedited> 40*cdf0e10cSrcweir</history> 41*cdf0e10cSrcweir</meta> 42*cdf0e10cSrcweir<body> 43*cdf0e10cSrcweir<section id="relationen"> 44*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="index" id="bm_id3156316"><bookmark_value>relations; in $[officename] Math</bookmark_value> 45*cdf0e10cSrcweir<bookmark_value>$[officename] Math; relations</bookmark_value> 46*cdf0e10cSrcweir<bookmark_value>equal sign</bookmark_value> 47*cdf0e10cSrcweir<bookmark_value>inequation</bookmark_value> 48*cdf0e10cSrcweir<bookmark_value>unequal sign</bookmark_value> 49*cdf0e10cSrcweir<bookmark_value>identical to relation</bookmark_value> 50*cdf0e10cSrcweir<bookmark_value>congruent relation</bookmark_value> 51*cdf0e10cSrcweir<bookmark_value>right angled relations</bookmark_value> 52*cdf0e10cSrcweir<bookmark_value>orthogonal relations</bookmark_value> 53*cdf0e10cSrcweir<bookmark_value>divides relation</bookmark_value> 54*cdf0e10cSrcweir<bookmark_value>does not divide relation</bookmark_value> 55*cdf0e10cSrcweir<bookmark_value>less than relations</bookmark_value> 56*cdf0e10cSrcweir<bookmark_value>approximately equal to relation</bookmark_value> 57*cdf0e10cSrcweir<bookmark_value>parallel relation</bookmark_value> 58*cdf0e10cSrcweir<bookmark_value>less than or equal to signs</bookmark_value> 59*cdf0e10cSrcweir<bookmark_value>greater than or equal to signs</bookmark_value> 60*cdf0e10cSrcweir<bookmark_value>proportional to relation</bookmark_value> 61*cdf0e10cSrcweir<bookmark_value>similar to relations</bookmark_value> 62*cdf0e10cSrcweir<bookmark_value>toward relation</bookmark_value> 63*cdf0e10cSrcweir<bookmark_value>logic symbols</bookmark_value> 64*cdf0e10cSrcweir<bookmark_value>double arrow symbols</bookmark_value> 65*cdf0e10cSrcweir<bookmark_value>much greater than relation</bookmark_value> 66*cdf0e10cSrcweir<bookmark_value>considerably greater than relation</bookmark_value> 67*cdf0e10cSrcweir<bookmark_value>greater than relations</bookmark_value> 68*cdf0e10cSrcweir<bookmark_value>much less than relation</bookmark_value> 69*cdf0e10cSrcweir<bookmark_value>considerably less than relation</bookmark_value> 70*cdf0e10cSrcweir<bookmark_value>defined as relation</bookmark_value> 71*cdf0e10cSrcweir<bookmark_value>correspondence; picture by</bookmark_value> 72*cdf0e10cSrcweir<bookmark_value>picture by correspondence</bookmark_value> 73*cdf0e10cSrcweir<bookmark_value>image of relation</bookmark_value> 74*cdf0e10cSrcweir<bookmark_value>correspondence; original by</bookmark_value> 75*cdf0e10cSrcweir<bookmark_value>original by correspondence</bookmark_value> 76*cdf0e10cSrcweir</bookmark> 77*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_RELATIONS_TBX" id="bm_id3145204" localize="false"/> 78*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_RELATIONS_CAT" id="bm_id3145207" localize="false"/> 79*cdf0e10cSrcweir<paragraph role="heading" id="hd_id3156316" xml-lang="en-US" level="1" l10n="U" oldref="1"><link href="text/smath/01/03090200.xhp" name="Relations">Relations</link></paragraph> 80*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3153152" xml-lang="en-US" l10n="U" oldref="2"><ahelp hid="HID_SMA_RELATIONS_CAT">You can choose among various relations to structure your <emph>$[officename] Math</emph> formula. The relation functions are displayed in the lower part of the Elements window.</ahelp> The list is also in the <link href="text/shared/00/00000001.xhp#kontextmenue" name="context menu">context menu</link> of the <emph>Commands</emph> window. All relations that are not contained in the Elements window or in the context menu can be typed manually in the Commands window.</paragraph> 81*cdf0e10cSrcweir</section> 82*cdf0e10cSrcweir<section id="howtoget"> 83*cdf0e10cSrcweir <embed href="text/smath/00/00000004.xhp#astbio"/> 84*cdf0e10cSrcweir</section> 85*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3147258" xml-lang="en-US" l10n="U" oldref="3">The following is a complete list of the relations. The symbol next to the name of the relation indicates that it can be accessed through the Elements window (choose <emph>View - Elements</emph>) or through the context menu of the <emph>Commands</emph> window.</paragraph> 86*cdf0e10cSrcweir<paragraph role="heading" id="hd_id3148827" xml-lang="en-US" level="3" l10n="U" oldref="4">Relations:</paragraph> 87*cdf0e10cSrcweir<table id="tbl_id3145414"> 88*cdf0e10cSrcweir<tablerow> 89*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 90*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10086" xml-lang="en-US" l10n="F"> 91*cdf0e10cSrcweir<image id="img_id3153573" src="starmath/res/bi21301.png" width="0.847cm" height="0.847cm"><alt id="alt_id3153573" xml-lang="en-US">Icon</alt> 92*cdf0e10cSrcweir </image></paragraph> 93*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XEQY" id="bm_id3153580" localize="false"/> 94*cdf0e10cSrcweir</tablecell> 95*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 96*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3154104" xml-lang="en-US" l10n="U" oldref="5">is equal</paragraph> 97*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3152947" xml-lang="en-US" l10n="U" oldref="6"><ahelp hid="HID_SMA_XEQY">Inserts an equal sign (=) with two placeholders.</ahelp> You can also directly type <emph><?> = <?></emph> in the <emph>Commands</emph> window.</paragraph> 98*cdf0e10cSrcweir</tablecell> 99*cdf0e10cSrcweir</tablerow> 100*cdf0e10cSrcweir</table> 101*cdf0e10cSrcweir 102*cdf0e10cSrcweir<table id="tbl_id3151098"> 103*cdf0e10cSrcweir<tablerow> 104*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 105*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN100BF" xml-lang="en-US" l10n="F"> 106*cdf0e10cSrcweir<image id="img_id3147523" src="starmath/res/bi21302.png" width="0.847cm" height="0.847cm"><alt id="alt_id3147523" xml-lang="en-US">Icon</alt> 107*cdf0e10cSrcweir </image></paragraph> 108*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNEQY" id="bm_id3147529" localize="false"/> 109*cdf0e10cSrcweir</tablecell> 110*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 111*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3152959" xml-lang="en-US" l10n="U" oldref="54">does not equal</paragraph> 112*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3150976" xml-lang="en-US" l10n="U" oldref="53"><ahelp hid="HID_SMA_XNEQY">The <emph>neq</emph> icon or command inserts an <emph>inequality</emph> with two placeholders.</ahelp> You can also type <emph><?> neq <?></emph> in the <emph>Commands</emph> window.</paragraph> 113*cdf0e10cSrcweir</tablecell> 114*cdf0e10cSrcweir</tablerow> 115*cdf0e10cSrcweir</table> 116*cdf0e10cSrcweir 117*cdf0e10cSrcweir<table id="tbl_id3150831"> 118*cdf0e10cSrcweir<tablerow> 119*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 120*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10101" xml-lang="en-US" l10n="F"> 121*cdf0e10cSrcweir<image id="img_id3154196" src="starmath/res/bi21303.png" width="0.847cm" height="0.847cm"><alt id="alt_id3154196" xml-lang="en-US">Icon</alt> 122*cdf0e10cSrcweir </image></paragraph> 123*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XEQUIVY" id="bm_id3151322" localize="false"/> 124*cdf0e10cSrcweir</tablecell> 125*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 126*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3151332" xml-lang="en-US" l10n="U" oldref="56">identical to</paragraph> 127*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3155181" xml-lang="en-US" l10n="U" oldref="55"><ahelp hid="HID_SMA_XEQUIVY">Inserts a character for the <emph>identical to</emph> (congruent) relation with two placeholders.</ahelp> You can also type <emph><?> equiv <?></emph> in the <emph>Commands</emph> window.</paragraph> 128*cdf0e10cSrcweir</tablecell> 129*cdf0e10cSrcweir</tablerow> 130*cdf0e10cSrcweir</table> 131*cdf0e10cSrcweir 132*cdf0e10cSrcweir<table id="tbl_id3151256"> 133*cdf0e10cSrcweir<tablerow> 134*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 135*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10140" xml-lang="en-US" l10n="F"> 136*cdf0e10cSrcweir<image id="img_id3154835" src="starmath/res/bi21304.png" width="0.847cm" height="0.847cm"><alt id="alt_id3154835" xml-lang="en-US">Icon</alt> 137*cdf0e10cSrcweir </image></paragraph> 138*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XORTHOY" id="bm_id3147089" localize="false"/> 139*cdf0e10cSrcweir</tablecell> 140*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 141*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3147098" xml-lang="en-US" l10n="U" oldref="58">orthogonal to</paragraph> 142*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3148976" xml-lang="en-US" l10n="U" oldref="57"><ahelp hid="HID_SMA_XORTHOY">Inserts a character for an <emph>orthogonal</emph> (right angled) relation with two placeholders.</ahelp> You can also type <emph><?> ortho <?></emph> in the <emph>Commands</emph> window.</paragraph> 143*cdf0e10cSrcweir</tablecell> 144*cdf0e10cSrcweir</tablerow> 145*cdf0e10cSrcweir</table> 146*cdf0e10cSrcweir 147*cdf0e10cSrcweir<table id="tbl_id3148734"> 148*cdf0e10cSrcweir<tablerow> 149*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 150*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10182" xml-lang="en-US" l10n="F"> 151*cdf0e10cSrcweir<image id="img_id3147321" src="starmath/res/bi21322.png" width="0.847cm" height="0.847cm"><alt id="alt_id3147321" xml-lang="en-US">Icon</alt> 152*cdf0e10cSrcweir </image></paragraph> 153*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XDIVIDESY" id="bm_id3153514" localize="false"/> 154*cdf0e10cSrcweir</tablecell> 155*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 156*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3153523" xml-lang="en-US" l10n="U" oldref="80">divides</paragraph> 157*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3147079" xml-lang="en-US" l10n="U" oldref="79"><ahelp hid="HID_SMA_XDIVIDESY">Inserts the <emph>divides</emph> character.</ahelp> You can also type <emph><?> divides <?></emph> in the <emph>Commands</emph> window.</paragraph> 158*cdf0e10cSrcweir</tablecell> 159*cdf0e10cSrcweir</tablerow> 160*cdf0e10cSrcweir</table> 161*cdf0e10cSrcweir 162*cdf0e10cSrcweir<table id="tbl_id3153355"> 163*cdf0e10cSrcweir<tablerow> 164*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 165*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN101BF" xml-lang="en-US" l10n="F"> 166*cdf0e10cSrcweir<image id="img_id3151030" src="starmath/res/bi21323.png" width="0.847cm" height="0.847cm"><alt id="alt_id3151030" xml-lang="en-US">Icon</alt> 167*cdf0e10cSrcweir </image></paragraph> 168*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XNDIVIDESY" id="bm_id3156273" localize="false"/> 169*cdf0e10cSrcweir</tablecell> 170*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 171*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149164" xml-lang="en-US" l10n="U" oldref="82">does not divide</paragraph> 172*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149177" xml-lang="en-US" l10n="U" oldref="81"><ahelp hid="HID_SMA_XNDIVIDESY">This icon inserts the <emph>does not divide</emph> character.</ahelp> You can also type <emph><?>ndivides<?></emph> in the <emph>Commands</emph> window.</paragraph> 173*cdf0e10cSrcweir</tablecell> 174*cdf0e10cSrcweir</tablerow> 175*cdf0e10cSrcweir</table> 176*cdf0e10cSrcweir 177*cdf0e10cSrcweir<table id="tbl_id3147318"> 178*cdf0e10cSrcweir<tablerow> 179*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 180*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN101FC" xml-lang="en-US" l10n="F"> 181*cdf0e10cSrcweir<image id="img_id3155133" src="starmath/res/bi21305.png" width="0.847cm" height="0.847cm"><alt id="alt_id3155133" xml-lang="en-US">Icon</alt> 182*cdf0e10cSrcweir </image></paragraph> 183*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XLTY" id="bm_id3151381" localize="false"/> 184*cdf0e10cSrcweir</tablecell> 185*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 186*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3148877" xml-lang="en-US" l10n="U" oldref="27">less than</paragraph> 187*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3148889" xml-lang="en-US" l10n="U" oldref="28"><ahelp hid="HID_SMA_XLTY">Inserts the <emph>less than</emph> relation.</ahelp> You can also type <emph><?>lt<?></emph> or <?> < <?> in the <emph>Commands</emph> window.</paragraph> 188*cdf0e10cSrcweir</tablecell> 189*cdf0e10cSrcweir</tablerow> 190*cdf0e10cSrcweir</table> 191*cdf0e10cSrcweir 192*cdf0e10cSrcweir<table id="tbl_id3150112"> 193*cdf0e10cSrcweir<tablerow> 194*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 195*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1023B" xml-lang="en-US" l10n="F"> 196*cdf0e10cSrcweir<image id="img_id3147468" src="starmath/res/bi21306.png" width="0.847cm" height="0.847cm"><alt id="alt_id3147468" xml-lang="en-US">Icon</alt> 197*cdf0e10cSrcweir </image></paragraph> 198*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XGTY" id="bm_id3147475" localize="false"/> 199*cdf0e10cSrcweir</tablecell> 200*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 201*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3147495" xml-lang="en-US" l10n="U" oldref="25">greater than</paragraph> 202*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3146904" xml-lang="en-US" l10n="U" oldref="26"><ahelp hid="HID_SMA_XGTY">Inserts the <emph>greater than </emph>relation.</ahelp> You can also type <emph><?> gt <?></emph> or <?> > <?> in the <emph>Commands</emph> window.</paragraph> 203*cdf0e10cSrcweir</tablecell> 204*cdf0e10cSrcweir</tablerow> 205*cdf0e10cSrcweir</table> 206*cdf0e10cSrcweir 207*cdf0e10cSrcweir<table id="tbl_id3149555"> 208*cdf0e10cSrcweir<tablerow> 209*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 210*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10279" xml-lang="en-US" l10n="F"> 211*cdf0e10cSrcweir<image id="img_id3155982" src="starmath/res/bi21307.png" width="0.847cm" height="0.847cm"><alt id="alt_id3155982" xml-lang="en-US">Icon</alt> 212*cdf0e10cSrcweir </image></paragraph> 213*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XAPPROXY" id="bm_id3153505" localize="false"/> 214*cdf0e10cSrcweir</tablecell> 215*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 216*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3149218" xml-lang="en-US" l10n="U" oldref="60">approximately equal to</paragraph> 217*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149231" xml-lang="en-US" l10n="U" oldref="59"><ahelp hid="HID_SMA_XAPPROXY">Inserts the <emph>approximately equal</emph> relation with two placeholders.</ahelp> You can also type <emph><?> approx <?> </emph>in the <emph>Commands</emph> window.</paragraph> 218*cdf0e10cSrcweir</tablecell> 219*cdf0e10cSrcweir</tablerow> 220*cdf0e10cSrcweir</table> 221*cdf0e10cSrcweir 222*cdf0e10cSrcweir<table id="tbl_id3146338"> 223*cdf0e10cSrcweir<tablerow> 224*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 225*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN102B5" xml-lang="en-US" l10n="F"> 226*cdf0e10cSrcweir<image id="img_id3155773" src="starmath/res/bi21308.png" width="0.566cm" height="0.566cm"><alt id="alt_id3155773" xml-lang="en-US">Icon</alt> 227*cdf0e10cSrcweir </image></paragraph> 228*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XPARALLELY" id="bm_id3155780" localize="false"/> 229*cdf0e10cSrcweir</tablecell> 230*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 231*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3147598" xml-lang="en-US" l10n="U" oldref="62">parallel to</paragraph> 232*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3147449" xml-lang="en-US" l10n="U" oldref="61"><ahelp hid="HID_SMA_XPARALLELY">Inserts a <emph>parallel </emph>relation with two placeholders.</ahelp> You can also type <emph><?>parallel<?></emph> in the <emph>Commands</emph> window.</paragraph> 233*cdf0e10cSrcweir</tablecell> 234*cdf0e10cSrcweir</tablerow> 235*cdf0e10cSrcweir</table> 236*cdf0e10cSrcweir 237*cdf0e10cSrcweir<table id="tbl_id3155576"> 238*cdf0e10cSrcweir<tablerow> 239*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 240*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN102F3" xml-lang="en-US" l10n="F"> 241*cdf0e10cSrcweir<image id="img_id3148442" src="starmath/res/bi21309.png" width="0.847cm" height="0.847cm"><alt id="alt_id3148442" xml-lang="en-US">Icon</alt> 242*cdf0e10cSrcweir </image></paragraph> 243*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XLESLANTY" id="bm_id3151080" localize="false"/> 244*cdf0e10cSrcweir</tablecell> 245*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 246*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3151089" xml-lang="en-US" l10n="U" oldref="64">less than or equal to (slanted)</paragraph> 247*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3154078" xml-lang="en-US" l10n="U" oldref="63"><ahelp hid="HID_SMA_XLESLANTY">Inserts a <emph>less than or equal to</emph> relation with two placeholders.</ahelp> You can also type <emph><?> leslant <?></emph> in the <emph>Commands</emph> window.</paragraph> 248*cdf0e10cSrcweir</tablecell> 249*cdf0e10cSrcweir</tablerow> 250*cdf0e10cSrcweir</table> 251*cdf0e10cSrcweir 252*cdf0e10cSrcweir<table id="tbl_id3153806"> 253*cdf0e10cSrcweir<tablerow> 254*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 255*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10331" xml-lang="en-US" l10n="F"> 256*cdf0e10cSrcweir<image id="img_id3153299" src="starmath/res/bi21310.png" width="0.847cm" height="0.847cm"><alt id="alt_id3153299" xml-lang="en-US">Icon</alt> 257*cdf0e10cSrcweir </image></paragraph> 258*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XGESLANTY" id="bm_id3150162" localize="false"/> 259*cdf0e10cSrcweir</tablecell> 260*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 261*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3150171" xml-lang="en-US" l10n="U" oldref="66">greater than or equal to (slanted)</paragraph> 262*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3156098" xml-lang="en-US" l10n="U" oldref="65"><ahelp hid="HID_SMA_XGESLANTY">Inserts the <emph>greater than or equal to</emph> relation with two placeholders.</ahelp> You can also type <emph><?>geslant<?> </emph>in the <emph>Commands</emph> window.</paragraph> 263*cdf0e10cSrcweir</tablecell> 264*cdf0e10cSrcweir</tablerow> 265*cdf0e10cSrcweir</table> 266*cdf0e10cSrcweir 267*cdf0e10cSrcweir<table id="tbl_id3150466"> 268*cdf0e10cSrcweir<tablerow> 269*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 270*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1036F" xml-lang="en-US" l10n="F"> 271*cdf0e10cSrcweir<image id="img_id3153976" src="starmath/res/bi21311.png" width="0.847cm" height="0.847cm"><alt id="alt_id3153976" xml-lang="en-US">Icon</alt> 272*cdf0e10cSrcweir </image></paragraph> 273*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSIMEQY" id="bm_id3145327" localize="false"/> 274*cdf0e10cSrcweir</tablecell> 275*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 276*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3145336" xml-lang="en-US" l10n="U" oldref="68">similar or equal to</paragraph> 277*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3155580" xml-lang="en-US" l10n="U" oldref="67"><ahelp hid="HID_SMA_XSIMEQY">Inserts the <emph>similar or equal to</emph> relation with two placeholders.</ahelp> You can also type <emph><?>simeq<?></emph> in the <emph>Commands</emph> window.</paragraph> 278*cdf0e10cSrcweir</tablecell> 279*cdf0e10cSrcweir</tablerow> 280*cdf0e10cSrcweir</table> 281*cdf0e10cSrcweir 282*cdf0e10cSrcweir<table id="tbl_id3150920"> 283*cdf0e10cSrcweir<tablerow> 284*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 285*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN103AD" xml-lang="en-US" l10n="F"> 286*cdf0e10cSrcweir<image id="img_id3151195" src="starmath/res/bi21312.png" width="0.847cm" height="0.847cm"><alt id="alt_id3151195" xml-lang="en-US">Icon</alt> 287*cdf0e10cSrcweir </image></paragraph> 288*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XPROPY" id="bm_id3149250" localize="false"/> 289*cdf0e10cSrcweir</tablecell> 290*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 291*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3155076" xml-lang="en-US" l10n="U" oldref="70">proportional to</paragraph> 292*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3155088" xml-lang="en-US" l10n="U" oldref="69"><ahelp hid="HID_SMA_XPROPY">Inserts the <emph>proportional to</emph> relation with two placeholders.</ahelp> You can also type <emph><?> prop <?></emph> in the <emph>Commands</emph> window.</paragraph> 293*cdf0e10cSrcweir</tablecell> 294*cdf0e10cSrcweir</tablerow> 295*cdf0e10cSrcweir</table> 296*cdf0e10cSrcweir 297*cdf0e10cSrcweir<table id="tbl_id3146946"> 298*cdf0e10cSrcweir<tablerow> 299*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 300*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN103EB" xml-lang="en-US" l10n="F"> 301*cdf0e10cSrcweir<image id="img_id3150103" src="starmath/res/bi21313.png" width="0.847cm" height="0.847cm"><alt id="alt_id3150103" xml-lang="en-US">Icon</alt> 302*cdf0e10cSrcweir </image></paragraph> 303*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XLEY" id="bm_id3149997" localize="false"/> 304*cdf0e10cSrcweir</tablecell> 305*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 306*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3150006" xml-lang="en-US" l10n="U" oldref="31">less than or equal to</paragraph> 307*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3150033" xml-lang="en-US" l10n="U" oldref="32"><ahelp hid="HID_SMA_XLEY">Inserts the <emph>less than or equal to</emph> relation with two placeholders.</ahelp> You can also type <emph><?> le <?></emph> or <emph><?> <= <?></emph> in the <emph>Commands</emph> window.</paragraph> 308*cdf0e10cSrcweir</tablecell> 309*cdf0e10cSrcweir</tablerow> 310*cdf0e10cSrcweir</table> 311*cdf0e10cSrcweir 312*cdf0e10cSrcweir<table id="tbl_id3147234"> 313*cdf0e10cSrcweir<tablerow> 314*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 315*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1042C" xml-lang="en-US" l10n="F"> 316*cdf0e10cSrcweir<image id="img_id3151228" src="starmath/res/bi21314.png" width="0.847cm" height="0.847cm"><alt id="alt_id3151228" xml-lang="en-US">Icon</alt> 317*cdf0e10cSrcweir </image></paragraph> 318*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XGEY" id="bm_id3153122" localize="false"/> 319*cdf0e10cSrcweir</tablecell> 320*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 321*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3153131" xml-lang="en-US" l10n="U" oldref="29">greater than or equal to</paragraph> 322*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3155379" xml-lang="en-US" l10n="U" oldref="30"><ahelp hid="HID_SMA_XGEY">Inserts the <emph>greater than or equal to</emph> relation with two placeholders.</ahelp> You can also type <emph><?> ge <?></emph> or <emph><?> >= <?></emph> in the <emph>Commands</emph> window.</paragraph> 323*cdf0e10cSrcweir</tablecell> 324*cdf0e10cSrcweir</tablerow> 325*cdf0e10cSrcweir</table> 326*cdf0e10cSrcweir 327*cdf0e10cSrcweir<table id="tbl_id3156090"> 328*cdf0e10cSrcweir<tablerow> 329*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 330*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN1046D" xml-lang="en-US" l10n="F"> 331*cdf0e10cSrcweir<image id="img_id3151003" src="starmath/res/bi21315.png" width="0.847cm" height="0.847cm"><alt id="alt_id3151003" xml-lang="en-US">Icon</alt> 332*cdf0e10cSrcweir </image></paragraph> 333*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XSIMY" id="bm_id3154365" localize="false"/> 334*cdf0e10cSrcweir</tablecell> 335*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 336*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3155935" xml-lang="en-US" l10n="U" oldref="72">similar to</paragraph> 337*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3155947" xml-lang="en-US" l10n="U" oldref="71"><ahelp hid="HID_SMA_XSIMY">This icon inserts the <emph>similar to</emph> relation with two placeholders.</ahelp> You can also type <emph><?>sim<?></emph> in the <emph>Commands</emph> window.</paragraph> 338*cdf0e10cSrcweir</tablecell> 339*cdf0e10cSrcweir</tablerow> 340*cdf0e10cSrcweir</table> 341*cdf0e10cSrcweir 342*cdf0e10cSrcweir<table id="tbl_id3147398"> 343*cdf0e10cSrcweir<tablerow> 344*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 345*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN104AB" xml-lang="en-US" l10n="F"> 346*cdf0e10cSrcweir<image id="img_id3149631" src="starmath/res/bi21316.png" width="0.847cm" height="0.847cm"><alt id="alt_id3149631" xml-lang="en-US">Icon</alt> 347*cdf0e10cSrcweir </image></paragraph> 348*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_XTOWARDY" id="bm_id3146086" localize="false"/> 349*cdf0e10cSrcweir</tablecell> 350*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 351*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3150659" xml-lang="en-US" l10n="U" oldref="73">toward</paragraph> 352*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3150670" xml-lang="en-US" l10n="U" oldref="42"><ahelp hid="HID_SMA_XTOWARDY">Inserts a <emph>toward</emph> relation symbol with two placeholders.</ahelp> You can also type <emph><?> toward <?></emph> in the <emph>Commands</emph> window.</paragraph> 353*cdf0e10cSrcweir</tablecell> 354*cdf0e10cSrcweir</tablerow> 355*cdf0e10cSrcweir</table> 356*cdf0e10cSrcweir 357*cdf0e10cSrcweir<table id="tbl_id3154675"> 358*cdf0e10cSrcweir<tablerow> 359*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 360*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN104E7" xml-lang="en-US" l10n="F"> 361*cdf0e10cSrcweir<image id="img_id3149969" src="starmath/res/bi21324.png" width="0.847cm" height="0.847cm"><alt id="alt_id3149969" xml-lang="en-US">Icon</alt> 362*cdf0e10cSrcweir </image></paragraph> 363*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_DLARROW" id="bm_id3147270" localize="false"/> 364*cdf0e10cSrcweir</tablecell> 365*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 366*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3147279" xml-lang="en-US" l10n="U" oldref="84">double arrow pointing left</paragraph> 367*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149599" xml-lang="en-US" l10n="U" oldref="83"><ahelp hid="HID_SMA_DLARROW">Inserts the logical relation <emph>arrow with double bar pointing left</emph>.</ahelp> You can also type <emph>dlarrow</emph> in the <emph>Commands</emph> window.</paragraph> 368*cdf0e10cSrcweir</tablecell> 369*cdf0e10cSrcweir</tablerow> 370*cdf0e10cSrcweir</table> 371*cdf0e10cSrcweir 372*cdf0e10cSrcweir<table id="tbl_id3145651"> 373*cdf0e10cSrcweir<tablerow> 374*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 375*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10525" xml-lang="en-US" l10n="F"> 376*cdf0e10cSrcweir<image id="img_id3149516" src="starmath/res/bi21325.png" width="0.847cm" height="0.847cm"><alt id="alt_id3149516" xml-lang="en-US">Icon</alt> 377*cdf0e10cSrcweir </image></paragraph> 378*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_DLRARROW" id="bm_id3149204" localize="false"/> 379*cdf0e10cSrcweir</tablecell> 380*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 381*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3148707" xml-lang="en-US" l10n="U" oldref="86">double arrow pointing left and right</paragraph> 382*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3148721" xml-lang="en-US" l10n="U" oldref="85"><ahelp hid="HID_SMA_DLRARROW">Inserts the logical relation <emph>arrow with double bar pointing left and right</emph> with two operators.</ahelp> You can also type <emph>dlrarrow</emph> in the <emph>Commands</emph> window.</paragraph> 383*cdf0e10cSrcweir</tablecell> 384*cdf0e10cSrcweir</tablerow> 385*cdf0e10cSrcweir</table> 386*cdf0e10cSrcweir 387*cdf0e10cSrcweir<table id="tbl_id3155359"> 388*cdf0e10cSrcweir<tablerow> 389*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 390*cdf0e10cSrcweir<paragraph role="paragraph" id="par_idN10563" xml-lang="en-US" l10n="F"> 391*cdf0e10cSrcweir<image id="img_id3148697" src="starmath/res/bi21326.png" width="0.847cm" height="0.847cm"><alt id="alt_id3148697" xml-lang="en-US">Icon</alt> 392*cdf0e10cSrcweir </image></paragraph> 393*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_DRARROW" id="bm_id3150844" localize="false"/> 394*cdf0e10cSrcweir</tablecell> 395*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 396*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3150853" xml-lang="en-US" l10n="U" oldref="88">double arrow pointing right</paragraph> 397*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3150866" xml-lang="en-US" l10n="U" oldref="87"><ahelp hid="HID_SMA_DRARROW">Inserts the logical operator <emph>arrow with double bar pointing right</emph> with two placeholders.</ahelp> You can also type <emph>drarrow</emph> in the <emph>Commands</emph> window.</paragraph> 398*cdf0e10cSrcweir</tablecell> 399*cdf0e10cSrcweir</tablerow> 400*cdf0e10cSrcweir</table> 401*cdf0e10cSrcweir 402*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3153545" xml-lang="en-US" l10n="U" oldref="74">To create the <emph>much greater than</emph> relation with two placeholders, type <emph><?> gg <?> </emph>or <emph>>></emph> in the <emph>Commands</emph> window.</paragraph> 403*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3156000" xml-lang="en-US" l10n="U" oldref="75">Type <emph>ll</emph> or <emph><<</emph> in the <emph>Commands</emph> window to insert the <emph>much less than</emph> relation into the formula.</paragraph> 404*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3153749" xml-lang="en-US" l10n="U" oldref="76">The <emph>is defined as</emph> relation with two placeholders is inserted by typing <emph><?>def<?></emph>.</paragraph> 405*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3154068" xml-lang="en-US" l10n="U" oldref="77">Insert the <emph>picture by</emph> correspondence character with two placeholders by typing <emph><?> transl <?></emph> in the <emph>Commands</emph> window.</paragraph> 406*cdf0e10cSrcweir<paragraph role="paragraph" id="par_id3149592" xml-lang="en-US" l10n="U" oldref="78">The <emph><?>transr<?></emph> command inserts the <emph>original by</emph> correspondence character with two placeholders.</paragraph> 407*cdf0e10cSrcweir<paragraph role="warning" id="par_id3154735" xml-lang="en-US" l10n="U" oldref="52">When entering information manually in the <emph>Commands</emph> window, note that a number of operators require spaces for the correct structure. This is especially true if you are working with values instead of placeholders. For example, for the "is considerably greater" relation, type either <emph>10 gg 1</emph> or <emph>a gg b</emph>.</paragraph> 408*cdf0e10cSrcweir</body> 409*cdf0e10cSrcweir</helpdocument> 410
