1*cdf0e10cSrcweir<?xml version="1.0" encoding="UTF-8"?> 2*cdf0e10cSrcweir 3*cdf0e10cSrcweir 4*cdf0e10cSrcweir 5*cdf0e10cSrcweir<!-- 6*cdf0e10cSrcweir *********************************************************************** 7*cdf0e10cSrcweir * 8*cdf0e10cSrcweir * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. 9*cdf0e10cSrcweir * 10*cdf0e10cSrcweir * Copyright 2000, 2010 Oracle and/or its affiliates. 11*cdf0e10cSrcweir * 12*cdf0e10cSrcweir * OpenOffice.org - a multi-platform office productivity suite 13*cdf0e10cSrcweir * 14*cdf0e10cSrcweir * This file is part of OpenOffice.org. 15*cdf0e10cSrcweir * 16*cdf0e10cSrcweir * OpenOffice.org is free software: you can redistribute it and/or modify 17*cdf0e10cSrcweir * it under the terms of the GNU Lesser General Public License version 3 18*cdf0e10cSrcweir * only, as published by the Free Software Foundation. 19*cdf0e10cSrcweir * 20*cdf0e10cSrcweir * OpenOffice.org is distributed in the hope that it will be useful, 21*cdf0e10cSrcweir * but WITHOUT ANY WARRANTY; without even the implied warranty of 22*cdf0e10cSrcweir * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 23*cdf0e10cSrcweir * GNU Lesser General Public License version 3 for more details 24*cdf0e10cSrcweir * (a copy is included in the LICENSE file that accompanied this code). 25*cdf0e10cSrcweir * 26*cdf0e10cSrcweir * You should have received a copy of the GNU Lesser General Public License 27*cdf0e10cSrcweir * version 3 along with OpenOffice.org. If not, see 28*cdf0e10cSrcweir * <http://www.openoffice.org/license.html> 29*cdf0e10cSrcweir * for a copy of the LGPLv3 License. 30*cdf0e10cSrcweir * 31*cdf0e10cSrcweir ************************************************************************ 32*cdf0e10cSrcweir --> 33*cdf0e10cSrcweir 34*cdf0e10cSrcweir 35*cdf0e10cSrcweir <helpdocument version="1.0"> 36*cdf0e10cSrcweir<meta> 37*cdf0e10cSrcweir<topic id="textsmath0103091505xml" indexer="include" status="PUBLISH"> 38*cdf0e10cSrcweir<title id="tit" xml-lang="en-US">Operators</title> 39*cdf0e10cSrcweir<filename>/text/smath/01/03091505.xhp</filename> 40*cdf0e10cSrcweir</topic> 41*cdf0e10cSrcweir</meta> 42*cdf0e10cSrcweir<body> 43*cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"><bookmark_value>operators;list of</bookmark_value> 44*cdf0e10cSrcweir</bookmark> 45*cdf0e10cSrcweir<paragraph role="heading" id="hd_id1328165" xml-lang="en-US" level="1" l10n="NEW"><variable id="operators"><link href="text/smath/01/03091505.xhp" name="Operators">Operators</link> 46*cdf0e10cSrcweir</variable></paragraph> 47*cdf0e10cSrcweir<table id="tbl_id3143951"> 48*cdf0e10cSrcweir<tablerow> 49*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 50*cdf0e10cSrcweir<paragraph role="tablehead" id="par_idN11DE4" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 51*cdf0e10cSrcweir</tablecell> 52*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 53*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3143994" xml-lang="en-US" l10n="U" oldref="484">Symbol in Elements Window</paragraph> 54*cdf0e10cSrcweir</tablecell> 55*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 56*cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3144064" xml-lang="en-US" l10n="U" oldref="486">Meaning</paragraph> 57*cdf0e10cSrcweir</tablecell> 58*cdf0e10cSrcweir</tablerow> 59*cdf0e10cSrcweir<tablerow> 60*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 61*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11EA2" xml-lang="en-US" l10n="NEW" localize="false"> 62*cdf0e10cSrcweir<item type="literal">coprod</item> 63*cdf0e10cSrcweir</paragraph> 64*cdf0e10cSrcweir</tablecell> 65*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 66*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144534" xml-lang="en-US" l10n="E"> 67*cdf0e10cSrcweir<image id="img_id3144541" src="starmath/res/fo21604.png" width="0.25inch" height="0.25inch"><alt id="alt_id3144541" xml-lang="en-US">Icon</alt> 68*cdf0e10cSrcweir </image></paragraph> 69*cdf0e10cSrcweir</tablecell> 70*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 71*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144655" xml-lang="en-US" l10n="U" oldref="142">Coproduct</paragraph> 72*cdf0e10cSrcweir</tablecell> 73*cdf0e10cSrcweir</tablerow> 74*cdf0e10cSrcweir<tablerow> 75*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 76*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11FB0" xml-lang="en-US" l10n="NEW" localize="false"> 77*cdf0e10cSrcweir<item type="literal">from</item> 78*cdf0e10cSrcweir</paragraph> 79*cdf0e10cSrcweir</tablecell> 80*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 81*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166611" xml-lang="en-US" l10n="E"> 82*cdf0e10cSrcweir<image id="img_id3166618" src="starmath/res/fo21614.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166618" xml-lang="en-US">Icon</alt> 83*cdf0e10cSrcweir </image></paragraph> 84*cdf0e10cSrcweir</tablecell> 85*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 86*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166692" xml-lang="en-US" l10n="U" oldref="170">Lower limit of an operator</paragraph> 87*cdf0e10cSrcweir</tablecell> 88*cdf0e10cSrcweir</tablerow> 89*cdf0e10cSrcweir<tablerow> 90*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 91*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11ED8" xml-lang="en-US" l10n="NEW" localize="false"> 92*cdf0e10cSrcweir<item type="literal">from to</item> 93*cdf0e10cSrcweir</paragraph> 94*cdf0e10cSrcweir</tablecell> 95*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 96*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144681" xml-lang="en-US" l10n="E"> 97*cdf0e10cSrcweir<image id="img_id3144688" src="starmath/res/fo21613.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3144688" xml-lang="en-US">Icon</alt> 98*cdf0e10cSrcweir </image></paragraph> 99*cdf0e10cSrcweir</tablecell> 100*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 101*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144763" xml-lang="en-US" l10n="U" oldref="168">Range from ... to</paragraph> 102*cdf0e10cSrcweir</tablecell> 103*cdf0e10cSrcweir</tablerow> 104*cdf0e10cSrcweir<tablerow> 105*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 106*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F7A" xml-lang="en-US" l10n="NEW" localize="false"> 107*cdf0e10cSrcweir<item type="literal">iiint</item> 108*cdf0e10cSrcweir</paragraph> 109*cdf0e10cSrcweir</tablecell> 110*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 111*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3145083" xml-lang="en-US" l10n="E"> 112*cdf0e10cSrcweir<image id="img_id3166470" src="starmath/res/fo21607.png" width="0.25inch" height="0.25inch"><alt id="alt_id3166470" xml-lang="en-US">Icon</alt> 113*cdf0e10cSrcweir </image></paragraph> 114*cdf0e10cSrcweir</tablecell> 115*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 116*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166584" xml-lang="en-US" l10n="U" oldref="158">Triple integral</paragraph> 117*cdf0e10cSrcweir</tablecell> 118*cdf0e10cSrcweir</tablerow> 119*cdf0e10cSrcweir<tablerow> 120*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 121*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F44" xml-lang="en-US" l10n="NEW" localize="false"> 122*cdf0e10cSrcweir<item type="literal">iint</item> 123*cdf0e10cSrcweir</paragraph> 124*cdf0e10cSrcweir</tablecell> 125*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 126*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144936" xml-lang="en-US" l10n="E"> 127*cdf0e10cSrcweir<image id="img_id3144943" src="starmath/res/fo21606.png" width="0.25inch" height="0.25inch"><alt id="alt_id3144943" xml-lang="en-US">Icon</alt> 128*cdf0e10cSrcweir </image></paragraph> 129*cdf0e10cSrcweir</tablecell> 130*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 131*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3145056" xml-lang="en-US" l10n="U" oldref="156">Double integral</paragraph> 132*cdf0e10cSrcweir</tablecell> 133*cdf0e10cSrcweir</tablerow> 134*cdf0e10cSrcweir<tablerow> 135*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 136*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F0E" xml-lang="en-US" l10n="NEW" localize="false"> 137*cdf0e10cSrcweir<item type="literal">int</item> 138*cdf0e10cSrcweir</paragraph> 139*cdf0e10cSrcweir</tablecell> 140*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 141*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144789" xml-lang="en-US" l10n="E"> 142*cdf0e10cSrcweir<image id="img_id3144796" src="starmath/res/fo21605.png" width="0.25inch" height="0.25inch"><alt id="alt_id3144796" xml-lang="en-US">Icon</alt> 143*cdf0e10cSrcweir </image></paragraph> 144*cdf0e10cSrcweir</tablecell> 145*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 146*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144909" xml-lang="en-US" l10n="U" oldref="154">Integral</paragraph> 147*cdf0e10cSrcweir</tablecell> 148*cdf0e10cSrcweir</tablerow> 149*cdf0e10cSrcweir<tablerow> 150*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 151*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120BE" xml-lang="en-US" l10n="NEW" localize="false"> 152*cdf0e10cSrcweir<item type="literal">liminf</item> 153*cdf0e10cSrcweir</paragraph> 154*cdf0e10cSrcweir</tablecell> 155*cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 156*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 157*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167350" xml-lang="en-US" l10n="U" oldref="146">Limes inferior</paragraph> 158*cdf0e10cSrcweir</tablecell> 159*cdf0e10cSrcweir</tablerow> 160*cdf0e10cSrcweir<tablerow> 161*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 162*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120D5" xml-lang="en-US" l10n="NEW" localize="false"> 163*cdf0e10cSrcweir<item type="literal">limsup</item> 164*cdf0e10cSrcweir</paragraph> 165*cdf0e10cSrcweir</tablecell> 166*cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 167*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 168*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167458" xml-lang="en-US" l10n="U" oldref="148">Limes superior</paragraph> 169*cdf0e10cSrcweir</tablecell> 170*cdf0e10cSrcweir</tablerow> 171*cdf0e10cSrcweir<tablerow> 172*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 173*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11FE6" xml-lang="en-US" l10n="NEW" localize="false"> 174*cdf0e10cSrcweir<item type="literal">lint</item> 175*cdf0e10cSrcweir</paragraph> 176*cdf0e10cSrcweir</tablecell> 177*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 178*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166719" xml-lang="en-US" l10n="E"> 179*cdf0e10cSrcweir<image id="img_id3166725" src="starmath/res/fo21609.png" width="0.25inch" height="0.25inch"><alt id="alt_id3166725" xml-lang="en-US">Icon</alt> 180*cdf0e10cSrcweir </image></paragraph> 181*cdf0e10cSrcweir</tablecell> 182*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 183*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166839" xml-lang="en-US" l10n="U" oldref="160">Curve integral</paragraph> 184*cdf0e10cSrcweir</tablecell> 185*cdf0e10cSrcweir</tablerow> 186*cdf0e10cSrcweir<tablerow> 187*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 188*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN1201C" xml-lang="en-US" l10n="NEW" localize="false"> 189*cdf0e10cSrcweir<item type="literal">llint</item> 190*cdf0e10cSrcweir</paragraph> 191*cdf0e10cSrcweir</tablecell> 192*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 193*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166866" xml-lang="en-US" l10n="E"> 194*cdf0e10cSrcweir<image id="img_id3166872" src="starmath/res/fo21610.png" width="0.25inch" height="0.25inch"><alt id="alt_id3166872" xml-lang="en-US">Icon</alt> 195*cdf0e10cSrcweir </image></paragraph> 196*cdf0e10cSrcweir</tablecell> 197*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 198*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166986" xml-lang="en-US" l10n="U" oldref="162">Double curve integral</paragraph> 199*cdf0e10cSrcweir</tablecell> 200*cdf0e10cSrcweir</tablerow> 201*cdf0e10cSrcweir<tablerow> 202*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 203*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN12052" xml-lang="en-US" l10n="NEW" localize="false"> 204*cdf0e10cSrcweir<item type="literal">lllint</item> 205*cdf0e10cSrcweir</paragraph> 206*cdf0e10cSrcweir</tablecell> 207*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 208*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167013" xml-lang="en-US" l10n="E"> 209*cdf0e10cSrcweir<image id="img_id3167020" src="starmath/res/fo21611.png" width="0.25inch" height="0.25inch"><alt id="alt_id3167020" xml-lang="en-US">Icon</alt> 210*cdf0e10cSrcweir </image></paragraph> 211*cdf0e10cSrcweir</tablecell> 212*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 213*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167134" xml-lang="en-US" l10n="U" oldref="164">Triple curve integral</paragraph> 214*cdf0e10cSrcweir</tablecell> 215*cdf0e10cSrcweir</tablerow> 216*cdf0e10cSrcweir<tablerow> 217*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 218*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120EC" xml-lang="en-US" l10n="NEW" localize="false"> 219*cdf0e10cSrcweir<item type="literal">oper</item> 220*cdf0e10cSrcweir</paragraph> 221*cdf0e10cSrcweir</tablecell> 222*cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 223*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 224*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167527" xml-lang="en-US" l10n="U" oldref="166">Placeholder, user-defined operator</paragraph> 225*cdf0e10cSrcweir</tablecell> 226*cdf0e10cSrcweir</tablerow> 227*cdf0e10cSrcweir<tablerow> 228*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 229*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E6C" xml-lang="en-US" l10n="NEW" localize="false"> 230*cdf0e10cSrcweir<item type="literal">prod</item> 231*cdf0e10cSrcweir</paragraph> 232*cdf0e10cSrcweir</tablecell> 233*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 234*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144387" xml-lang="en-US" l10n="E"> 235*cdf0e10cSrcweir<image id="img_id3144394" src="starmath/res/fo21603.png" width="0.25inch" height="0.25inch"><alt id="alt_id3144394" xml-lang="en-US">Icon</alt> 236*cdf0e10cSrcweir </image></paragraph> 237*cdf0e10cSrcweir</tablecell> 238*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 239*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144508" xml-lang="en-US" l10n="U" oldref="140">Product</paragraph> 240*cdf0e10cSrcweir</tablecell> 241*cdf0e10cSrcweir</tablerow> 242*cdf0e10cSrcweir<tablerow> 243*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 244*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E36" xml-lang="en-US" l10n="NEW" localize="false"> 245*cdf0e10cSrcweir<item type="literal">sum</item> 246*cdf0e10cSrcweir</paragraph> 247*cdf0e10cSrcweir</tablecell> 248*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 249*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144240" xml-lang="en-US" l10n="E"> 250*cdf0e10cSrcweir<image id="img_id3144247" src="starmath/res/fo21602.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3144247" xml-lang="en-US">Icon</alt> 251*cdf0e10cSrcweir </image></paragraph> 252*cdf0e10cSrcweir</tablecell> 253*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 254*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144361" xml-lang="en-US" l10n="U" oldref="138">Sum</paragraph> 255*cdf0e10cSrcweir</tablecell> 256*cdf0e10cSrcweir</tablerow> 257*cdf0e10cSrcweir<tablerow> 258*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 259*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN12088" xml-lang="en-US" l10n="NEW" localize="false"> 260*cdf0e10cSrcweir<item type="literal">to</item> 261*cdf0e10cSrcweir</paragraph> 262*cdf0e10cSrcweir</tablecell> 263*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 264*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167161" xml-lang="en-US" l10n="E"> 265*cdf0e10cSrcweir<image id="img_id3167167" src="starmath/res/fo21615.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3167167" xml-lang="en-US">Icon</alt> 266*cdf0e10cSrcweir </image></paragraph> 267*cdf0e10cSrcweir</tablecell> 268*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 269*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167242" xml-lang="en-US" l10n="U" oldref="172">Upper limit of an operator</paragraph> 270*cdf0e10cSrcweir</tablecell> 271*cdf0e10cSrcweir</tablerow> 272*cdf0e10cSrcweir<tablerow> 273*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 274*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E00" xml-lang="en-US" l10n="NEW" localize="false"> 275*cdf0e10cSrcweir<item type="literal">lim</item> 276*cdf0e10cSrcweir</paragraph> 277*cdf0e10cSrcweir</tablecell> 278*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 279*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144093" xml-lang="en-US" l10n="E"> 280*cdf0e10cSrcweir<image id="img_id3144100" src="starmath/res/fo21601.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3144100" xml-lang="en-US">Icon</alt> 281*cdf0e10cSrcweir </image></paragraph> 282*cdf0e10cSrcweir</tablecell> 283*cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 284*cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144214" xml-lang="en-US" l10n="U" oldref="144">Limes</paragraph> 285*cdf0e10cSrcweir</tablecell> 286*cdf0e10cSrcweir</tablerow> 287*cdf0e10cSrcweir</table> 288*cdf0e10cSrcweir<section id="relatedtopics"> 289*cdf0e10cSrcweir<embed href="text/smath/01/03090300.xhp#operatoren"/> 290*cdf0e10cSrcweir<embed href="text/smath/01/03091500.xhp#reference"/> 291*cdf0e10cSrcweir</section> 292*cdf0e10cSrcweir</body> 293*cdf0e10cSrcweir</helpdocument> 294