1cdf0e10cSrcweir<?xml version="1.0" encoding="UTF-8"?> 2cdf0e10cSrcweir 352ac0773SAndrew Rist<!--*********************************************************** 4695fa56cSmseidel * 552ac0773SAndrew Rist * Licensed to the Apache Software Foundation (ASF) under one 652ac0773SAndrew Rist * or more contributor license agreements. See the NOTICE file 752ac0773SAndrew Rist * distributed with this work for additional information 852ac0773SAndrew Rist * regarding copyright ownership. The ASF licenses this file 952ac0773SAndrew Rist * to you under the Apache License, Version 2.0 (the 1052ac0773SAndrew Rist * "License"); you may not use this file except in compliance 1152ac0773SAndrew Rist * with the License. You may obtain a copy of the License at 12695fa56cSmseidel * 1352ac0773SAndrew Rist * http://www.apache.org/licenses/LICENSE-2.0 14695fa56cSmseidel * 1552ac0773SAndrew Rist * Unless required by applicable law or agreed to in writing, 1652ac0773SAndrew Rist * software distributed under the License is distributed on an 1752ac0773SAndrew Rist * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY 1852ac0773SAndrew Rist * KIND, either express or implied. See the License for the 1952ac0773SAndrew Rist * specific language governing permissions and limitations 2052ac0773SAndrew Rist * under the License. 21695fa56cSmseidel * 2252ac0773SAndrew Rist ***********************************************************--> 2352ac0773SAndrew Rist 24695fa56cSmseidel<helpdocument version="1.0"> 25cdf0e10cSrcweir<meta> 26cdf0e10cSrcweir<topic id="textsmath0103091505xml" indexer="include" status="PUBLISH"> 27cdf0e10cSrcweir<title id="tit" xml-lang="en-US">Operators</title> 28cdf0e10cSrcweir<filename>/text/smath/01/03091505.xhp</filename> 29cdf0e10cSrcweir</topic> 30cdf0e10cSrcweir</meta> 31cdf0e10cSrcweir<body> 32*88cae784Smseidel<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"> 33*88cae784Smseidel<bookmark_value>operators;list of</bookmark_value> 34cdf0e10cSrcweir</bookmark> 35cdf0e10cSrcweir<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> 36cdf0e10cSrcweir</variable></paragraph> 37cdf0e10cSrcweir<table id="tbl_id3143951"> 38cdf0e10cSrcweir<tablerow> 39cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 40cdf0e10cSrcweir<paragraph role="tablehead" id="par_idN11DE4" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 41cdf0e10cSrcweir</tablecell> 42cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 43cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3143994" xml-lang="en-US" l10n="U" oldref="484">Symbol in Elements Window</paragraph> 44cdf0e10cSrcweir</tablecell> 45cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 46cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3144064" xml-lang="en-US" l10n="U" oldref="486">Meaning</paragraph> 47cdf0e10cSrcweir</tablecell> 48cdf0e10cSrcweir</tablerow> 49cdf0e10cSrcweir<tablerow> 50cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 51cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11EA2" xml-lang="en-US" l10n="NEW" localize="false"> 52cdf0e10cSrcweir<item type="literal">coprod</item> 53cdf0e10cSrcweir</paragraph> 54cdf0e10cSrcweir</tablecell> 55cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 56cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144534" xml-lang="en-US" l10n="E"> 57cdf0e10cSrcweir<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> 58695fa56cSmseidel</image></paragraph> 59cdf0e10cSrcweir</tablecell> 60cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 61cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144655" xml-lang="en-US" l10n="U" oldref="142">Coproduct</paragraph> 62cdf0e10cSrcweir</tablecell> 63cdf0e10cSrcweir</tablerow> 64cdf0e10cSrcweir<tablerow> 65cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 66cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11FB0" xml-lang="en-US" l10n="NEW" localize="false"> 67cdf0e10cSrcweir<item type="literal">from</item> 68cdf0e10cSrcweir</paragraph> 69cdf0e10cSrcweir</tablecell> 70cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 71cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166611" xml-lang="en-US" l10n="E"> 72cdf0e10cSrcweir<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> 73695fa56cSmseidel</image></paragraph> 74cdf0e10cSrcweir</tablecell> 75cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 76cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166692" xml-lang="en-US" l10n="U" oldref="170">Lower limit of an operator</paragraph> 77cdf0e10cSrcweir</tablecell> 78cdf0e10cSrcweir</tablerow> 79cdf0e10cSrcweir<tablerow> 80cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 81cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11ED8" xml-lang="en-US" l10n="NEW" localize="false"> 82cdf0e10cSrcweir<item type="literal">from to</item> 83cdf0e10cSrcweir</paragraph> 84cdf0e10cSrcweir</tablecell> 85cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 86cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144681" xml-lang="en-US" l10n="E"> 87cdf0e10cSrcweir<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> 88695fa56cSmseidel</image></paragraph> 89cdf0e10cSrcweir</tablecell> 90cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 91cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144763" xml-lang="en-US" l10n="U" oldref="168">Range from ... to</paragraph> 92cdf0e10cSrcweir</tablecell> 93cdf0e10cSrcweir</tablerow> 94cdf0e10cSrcweir<tablerow> 95cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 96cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F7A" xml-lang="en-US" l10n="NEW" localize="false"> 97cdf0e10cSrcweir<item type="literal">iiint</item> 98cdf0e10cSrcweir</paragraph> 99cdf0e10cSrcweir</tablecell> 100cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 101cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3145083" xml-lang="en-US" l10n="E"> 102cdf0e10cSrcweir<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> 103695fa56cSmseidel</image></paragraph> 104cdf0e10cSrcweir</tablecell> 105cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 106cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166584" xml-lang="en-US" l10n="U" oldref="158">Triple integral</paragraph> 107cdf0e10cSrcweir</tablecell> 108cdf0e10cSrcweir</tablerow> 109cdf0e10cSrcweir<tablerow> 110cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 111cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F44" xml-lang="en-US" l10n="NEW" localize="false"> 112cdf0e10cSrcweir<item type="literal">iint</item> 113cdf0e10cSrcweir</paragraph> 114cdf0e10cSrcweir</tablecell> 115cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 116cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144936" xml-lang="en-US" l10n="E"> 117cdf0e10cSrcweir<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> 118695fa56cSmseidel</image></paragraph> 119cdf0e10cSrcweir</tablecell> 120cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 121cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3145056" xml-lang="en-US" l10n="U" oldref="156">Double integral</paragraph> 122cdf0e10cSrcweir</tablecell> 123cdf0e10cSrcweir</tablerow> 124cdf0e10cSrcweir<tablerow> 125cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 126cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F0E" xml-lang="en-US" l10n="NEW" localize="false"> 127cdf0e10cSrcweir<item type="literal">int</item> 128cdf0e10cSrcweir</paragraph> 129cdf0e10cSrcweir</tablecell> 130cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 131cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144789" xml-lang="en-US" l10n="E"> 132cdf0e10cSrcweir<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> 133695fa56cSmseidel</image></paragraph> 134cdf0e10cSrcweir</tablecell> 135cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 136cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144909" xml-lang="en-US" l10n="U" oldref="154">Integral</paragraph> 137cdf0e10cSrcweir</tablecell> 138cdf0e10cSrcweir</tablerow> 139cdf0e10cSrcweir<tablerow> 140cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 141cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120BE" xml-lang="en-US" l10n="NEW" localize="false"> 142cdf0e10cSrcweir<item type="literal">liminf</item> 143cdf0e10cSrcweir</paragraph> 144cdf0e10cSrcweir</tablecell> 145cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 146cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 147cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167350" xml-lang="en-US" l10n="U" oldref="146">Limes inferior</paragraph> 148cdf0e10cSrcweir</tablecell> 149cdf0e10cSrcweir</tablerow> 150cdf0e10cSrcweir<tablerow> 151cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 152cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120D5" xml-lang="en-US" l10n="NEW" localize="false"> 153cdf0e10cSrcweir<item type="literal">limsup</item> 154cdf0e10cSrcweir</paragraph> 155cdf0e10cSrcweir</tablecell> 156cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 157cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 158cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167458" xml-lang="en-US" l10n="U" oldref="148">Limes superior</paragraph> 159cdf0e10cSrcweir</tablecell> 160cdf0e10cSrcweir</tablerow> 161cdf0e10cSrcweir<tablerow> 162cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 163cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11FE6" xml-lang="en-US" l10n="NEW" localize="false"> 164cdf0e10cSrcweir<item type="literal">lint</item> 165cdf0e10cSrcweir</paragraph> 166cdf0e10cSrcweir</tablecell> 167cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 168cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166719" xml-lang="en-US" l10n="E"> 169cdf0e10cSrcweir<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> 170695fa56cSmseidel</image></paragraph> 171cdf0e10cSrcweir</tablecell> 172cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 173cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166839" xml-lang="en-US" l10n="U" oldref="160">Curve integral</paragraph> 174cdf0e10cSrcweir</tablecell> 175cdf0e10cSrcweir</tablerow> 176cdf0e10cSrcweir<tablerow> 177cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 178cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN1201C" xml-lang="en-US" l10n="NEW" localize="false"> 179cdf0e10cSrcweir<item type="literal">llint</item> 180cdf0e10cSrcweir</paragraph> 181cdf0e10cSrcweir</tablecell> 182cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 183cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166866" xml-lang="en-US" l10n="E"> 184cdf0e10cSrcweir<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> 185695fa56cSmseidel</image></paragraph> 186cdf0e10cSrcweir</tablecell> 187cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 188cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166986" xml-lang="en-US" l10n="U" oldref="162">Double curve integral</paragraph> 189cdf0e10cSrcweir</tablecell> 190cdf0e10cSrcweir</tablerow> 191cdf0e10cSrcweir<tablerow> 192cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 193cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN12052" xml-lang="en-US" l10n="NEW" localize="false"> 194cdf0e10cSrcweir<item type="literal">lllint</item> 195cdf0e10cSrcweir</paragraph> 196cdf0e10cSrcweir</tablecell> 197cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 198cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167013" xml-lang="en-US" l10n="E"> 199cdf0e10cSrcweir<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> 200695fa56cSmseidel</image></paragraph> 201cdf0e10cSrcweir</tablecell> 202cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 203cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167134" xml-lang="en-US" l10n="U" oldref="164">Triple curve integral</paragraph> 204cdf0e10cSrcweir</tablecell> 205cdf0e10cSrcweir</tablerow> 206cdf0e10cSrcweir<tablerow> 207cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 208cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120EC" xml-lang="en-US" l10n="NEW" localize="false"> 209cdf0e10cSrcweir<item type="literal">oper</item> 210cdf0e10cSrcweir</paragraph> 211cdf0e10cSrcweir</tablecell> 212cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 213cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 214cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167527" xml-lang="en-US" l10n="U" oldref="166">Placeholder, user-defined operator</paragraph> 215cdf0e10cSrcweir</tablecell> 216cdf0e10cSrcweir</tablerow> 217cdf0e10cSrcweir<tablerow> 218cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 219cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E6C" xml-lang="en-US" l10n="NEW" localize="false"> 220cdf0e10cSrcweir<item type="literal">prod</item> 221cdf0e10cSrcweir</paragraph> 222cdf0e10cSrcweir</tablecell> 223cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 224cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144387" xml-lang="en-US" l10n="E"> 225cdf0e10cSrcweir<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> 226695fa56cSmseidel</image></paragraph> 227cdf0e10cSrcweir</tablecell> 228cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 229cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144508" xml-lang="en-US" l10n="U" oldref="140">Product</paragraph> 230cdf0e10cSrcweir</tablecell> 231cdf0e10cSrcweir</tablerow> 232cdf0e10cSrcweir<tablerow> 233cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 234cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E36" xml-lang="en-US" l10n="NEW" localize="false"> 235cdf0e10cSrcweir<item type="literal">sum</item> 236cdf0e10cSrcweir</paragraph> 237cdf0e10cSrcweir</tablecell> 238cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 239cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144240" xml-lang="en-US" l10n="E"> 240cdf0e10cSrcweir<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> 241695fa56cSmseidel</image></paragraph> 242cdf0e10cSrcweir</tablecell> 243cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 244cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144361" xml-lang="en-US" l10n="U" oldref="138">Sum</paragraph> 245cdf0e10cSrcweir</tablecell> 246cdf0e10cSrcweir</tablerow> 247cdf0e10cSrcweir<tablerow> 248cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 249cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN12088" xml-lang="en-US" l10n="NEW" localize="false"> 250cdf0e10cSrcweir<item type="literal">to</item> 251cdf0e10cSrcweir</paragraph> 252cdf0e10cSrcweir</tablecell> 253cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 254cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167161" xml-lang="en-US" l10n="E"> 255cdf0e10cSrcweir<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> 256695fa56cSmseidel</image></paragraph> 257cdf0e10cSrcweir</tablecell> 258cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 259cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167242" xml-lang="en-US" l10n="U" oldref="172">Upper limit of an operator</paragraph> 260cdf0e10cSrcweir</tablecell> 261cdf0e10cSrcweir</tablerow> 262cdf0e10cSrcweir<tablerow> 263cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 264cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E00" xml-lang="en-US" l10n="NEW" localize="false"> 265cdf0e10cSrcweir<item type="literal">lim</item> 266cdf0e10cSrcweir</paragraph> 267cdf0e10cSrcweir</tablecell> 268cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 269cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144093" xml-lang="en-US" l10n="E"> 270cdf0e10cSrcweir<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> 271695fa56cSmseidel</image></paragraph> 272cdf0e10cSrcweir</tablecell> 273cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 274cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144214" xml-lang="en-US" l10n="U" oldref="144">Limes</paragraph> 275cdf0e10cSrcweir</tablecell> 276cdf0e10cSrcweir</tablerow> 277cdf0e10cSrcweir</table> 278cdf0e10cSrcweir<section id="relatedtopics"> 279cdf0e10cSrcweir<embed href="text/smath/01/03090300.xhp#operatoren"/> 280cdf0e10cSrcweir<embed href="text/smath/01/03091500.xhp#reference"/> 281cdf0e10cSrcweir</section> 282cdf0e10cSrcweir</body> 283cdf0e10cSrcweir</helpdocument> 284
