1cdf0e10cSrcweir<?xml version="1.0" encoding="UTF-8"?> 2cdf0e10cSrcweir 352ac0773SAndrew Rist<!--*********************************************************** 4*695fa56cSmseidel * 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 12*695fa56cSmseidel * 1352ac0773SAndrew Rist * http://www.apache.org/licenses/LICENSE-2.0 14*695fa56cSmseidel * 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. 21*695fa56cSmseidel * 2252ac0773SAndrew Rist ***********************************************************--> 2352ac0773SAndrew Rist 24*695fa56cSmseidel<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> 32cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"><bookmark_value>operators;list of</bookmark_value> 33cdf0e10cSrcweir</bookmark> 34cdf0e10cSrcweir<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> 35cdf0e10cSrcweir</variable></paragraph> 36cdf0e10cSrcweir<table id="tbl_id3143951"> 37cdf0e10cSrcweir<tablerow> 38cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 39cdf0e10cSrcweir<paragraph role="tablehead" id="par_idN11DE4" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 40cdf0e10cSrcweir</tablecell> 41cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 42cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3143994" xml-lang="en-US" l10n="U" oldref="484">Symbol in Elements Window</paragraph> 43cdf0e10cSrcweir</tablecell> 44cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 45cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3144064" xml-lang="en-US" l10n="U" oldref="486">Meaning</paragraph> 46cdf0e10cSrcweir</tablecell> 47cdf0e10cSrcweir</tablerow> 48cdf0e10cSrcweir<tablerow> 49cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 50cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11EA2" xml-lang="en-US" l10n="NEW" localize="false"> 51cdf0e10cSrcweir<item type="literal">coprod</item> 52cdf0e10cSrcweir</paragraph> 53cdf0e10cSrcweir</tablecell> 54cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 55cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144534" xml-lang="en-US" l10n="E"> 56cdf0e10cSrcweir<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> 57*695fa56cSmseidel</image></paragraph> 58cdf0e10cSrcweir</tablecell> 59cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 60cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144655" xml-lang="en-US" l10n="U" oldref="142">Coproduct</paragraph> 61cdf0e10cSrcweir</tablecell> 62cdf0e10cSrcweir</tablerow> 63cdf0e10cSrcweir<tablerow> 64cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 65cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11FB0" xml-lang="en-US" l10n="NEW" localize="false"> 66cdf0e10cSrcweir<item type="literal">from</item> 67cdf0e10cSrcweir</paragraph> 68cdf0e10cSrcweir</tablecell> 69cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 70cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166611" xml-lang="en-US" l10n="E"> 71cdf0e10cSrcweir<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> 72*695fa56cSmseidel</image></paragraph> 73cdf0e10cSrcweir</tablecell> 74cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 75cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166692" xml-lang="en-US" l10n="U" oldref="170">Lower limit of an operator</paragraph> 76cdf0e10cSrcweir</tablecell> 77cdf0e10cSrcweir</tablerow> 78cdf0e10cSrcweir<tablerow> 79cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 80cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11ED8" xml-lang="en-US" l10n="NEW" localize="false"> 81cdf0e10cSrcweir<item type="literal">from to</item> 82cdf0e10cSrcweir</paragraph> 83cdf0e10cSrcweir</tablecell> 84cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 85cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144681" xml-lang="en-US" l10n="E"> 86cdf0e10cSrcweir<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> 87*695fa56cSmseidel</image></paragraph> 88cdf0e10cSrcweir</tablecell> 89cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 90cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144763" xml-lang="en-US" l10n="U" oldref="168">Range from ... to</paragraph> 91cdf0e10cSrcweir</tablecell> 92cdf0e10cSrcweir</tablerow> 93cdf0e10cSrcweir<tablerow> 94cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 95cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F7A" xml-lang="en-US" l10n="NEW" localize="false"> 96cdf0e10cSrcweir<item type="literal">iiint</item> 97cdf0e10cSrcweir</paragraph> 98cdf0e10cSrcweir</tablecell> 99cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 100cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3145083" xml-lang="en-US" l10n="E"> 101cdf0e10cSrcweir<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> 102*695fa56cSmseidel</image></paragraph> 103cdf0e10cSrcweir</tablecell> 104cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 105cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166584" xml-lang="en-US" l10n="U" oldref="158">Triple integral</paragraph> 106cdf0e10cSrcweir</tablecell> 107cdf0e10cSrcweir</tablerow> 108cdf0e10cSrcweir<tablerow> 109cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 110cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F44" xml-lang="en-US" l10n="NEW" localize="false"> 111cdf0e10cSrcweir<item type="literal">iint</item> 112cdf0e10cSrcweir</paragraph> 113cdf0e10cSrcweir</tablecell> 114cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 115cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144936" xml-lang="en-US" l10n="E"> 116cdf0e10cSrcweir<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> 117*695fa56cSmseidel</image></paragraph> 118cdf0e10cSrcweir</tablecell> 119cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 120cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3145056" xml-lang="en-US" l10n="U" oldref="156">Double integral</paragraph> 121cdf0e10cSrcweir</tablecell> 122cdf0e10cSrcweir</tablerow> 123cdf0e10cSrcweir<tablerow> 124cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 125cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F0E" xml-lang="en-US" l10n="NEW" localize="false"> 126cdf0e10cSrcweir<item type="literal">int</item> 127cdf0e10cSrcweir</paragraph> 128cdf0e10cSrcweir</tablecell> 129cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 130cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144789" xml-lang="en-US" l10n="E"> 131cdf0e10cSrcweir<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> 132*695fa56cSmseidel</image></paragraph> 133cdf0e10cSrcweir</tablecell> 134cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 135cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144909" xml-lang="en-US" l10n="U" oldref="154">Integral</paragraph> 136cdf0e10cSrcweir</tablecell> 137cdf0e10cSrcweir</tablerow> 138cdf0e10cSrcweir<tablerow> 139cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 140cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120BE" xml-lang="en-US" l10n="NEW" localize="false"> 141cdf0e10cSrcweir<item type="literal">liminf</item> 142cdf0e10cSrcweir</paragraph> 143cdf0e10cSrcweir</tablecell> 144cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 145cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 146cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167350" xml-lang="en-US" l10n="U" oldref="146">Limes inferior</paragraph> 147cdf0e10cSrcweir</tablecell> 148cdf0e10cSrcweir</tablerow> 149cdf0e10cSrcweir<tablerow> 150cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 151cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120D5" xml-lang="en-US" l10n="NEW" localize="false"> 152cdf0e10cSrcweir<item type="literal">limsup</item> 153cdf0e10cSrcweir</paragraph> 154cdf0e10cSrcweir</tablecell> 155cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 156cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 157cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167458" xml-lang="en-US" l10n="U" oldref="148">Limes superior</paragraph> 158cdf0e10cSrcweir</tablecell> 159cdf0e10cSrcweir</tablerow> 160cdf0e10cSrcweir<tablerow> 161cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 162cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11FE6" xml-lang="en-US" l10n="NEW" localize="false"> 163cdf0e10cSrcweir<item type="literal">lint</item> 164cdf0e10cSrcweir</paragraph> 165cdf0e10cSrcweir</tablecell> 166cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 167cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166719" xml-lang="en-US" l10n="E"> 168cdf0e10cSrcweir<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> 169*695fa56cSmseidel</image></paragraph> 170cdf0e10cSrcweir</tablecell> 171cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 172cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166839" xml-lang="en-US" l10n="U" oldref="160">Curve integral</paragraph> 173cdf0e10cSrcweir</tablecell> 174cdf0e10cSrcweir</tablerow> 175cdf0e10cSrcweir<tablerow> 176cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 177cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN1201C" xml-lang="en-US" l10n="NEW" localize="false"> 178cdf0e10cSrcweir<item type="literal">llint</item> 179cdf0e10cSrcweir</paragraph> 180cdf0e10cSrcweir</tablecell> 181cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 182cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166866" xml-lang="en-US" l10n="E"> 183cdf0e10cSrcweir<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> 184*695fa56cSmseidel</image></paragraph> 185cdf0e10cSrcweir</tablecell> 186cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 187cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166986" xml-lang="en-US" l10n="U" oldref="162">Double curve integral</paragraph> 188cdf0e10cSrcweir</tablecell> 189cdf0e10cSrcweir</tablerow> 190cdf0e10cSrcweir<tablerow> 191cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 192cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN12052" xml-lang="en-US" l10n="NEW" localize="false"> 193cdf0e10cSrcweir<item type="literal">lllint</item> 194cdf0e10cSrcweir</paragraph> 195cdf0e10cSrcweir</tablecell> 196cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 197cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167013" xml-lang="en-US" l10n="E"> 198cdf0e10cSrcweir<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> 199*695fa56cSmseidel</image></paragraph> 200cdf0e10cSrcweir</tablecell> 201cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 202cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167134" xml-lang="en-US" l10n="U" oldref="164">Triple curve integral</paragraph> 203cdf0e10cSrcweir</tablecell> 204cdf0e10cSrcweir</tablerow> 205cdf0e10cSrcweir<tablerow> 206cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 207cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120EC" xml-lang="en-US" l10n="NEW" localize="false"> 208cdf0e10cSrcweir<item type="literal">oper</item> 209cdf0e10cSrcweir</paragraph> 210cdf0e10cSrcweir</tablecell> 211cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 212cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 213cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167527" xml-lang="en-US" l10n="U" oldref="166">Placeholder, user-defined operator</paragraph> 214cdf0e10cSrcweir</tablecell> 215cdf0e10cSrcweir</tablerow> 216cdf0e10cSrcweir<tablerow> 217cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 218cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E6C" xml-lang="en-US" l10n="NEW" localize="false"> 219cdf0e10cSrcweir<item type="literal">prod</item> 220cdf0e10cSrcweir</paragraph> 221cdf0e10cSrcweir</tablecell> 222cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 223cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144387" xml-lang="en-US" l10n="E"> 224cdf0e10cSrcweir<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> 225*695fa56cSmseidel</image></paragraph> 226cdf0e10cSrcweir</tablecell> 227cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 228cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144508" xml-lang="en-US" l10n="U" oldref="140">Product</paragraph> 229cdf0e10cSrcweir</tablecell> 230cdf0e10cSrcweir</tablerow> 231cdf0e10cSrcweir<tablerow> 232cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 233cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E36" xml-lang="en-US" l10n="NEW" localize="false"> 234cdf0e10cSrcweir<item type="literal">sum</item> 235cdf0e10cSrcweir</paragraph> 236cdf0e10cSrcweir</tablecell> 237cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 238cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144240" xml-lang="en-US" l10n="E"> 239cdf0e10cSrcweir<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> 240*695fa56cSmseidel</image></paragraph> 241cdf0e10cSrcweir</tablecell> 242cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 243cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144361" xml-lang="en-US" l10n="U" oldref="138">Sum</paragraph> 244cdf0e10cSrcweir</tablecell> 245cdf0e10cSrcweir</tablerow> 246cdf0e10cSrcweir<tablerow> 247cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 248cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN12088" xml-lang="en-US" l10n="NEW" localize="false"> 249cdf0e10cSrcweir<item type="literal">to</item> 250cdf0e10cSrcweir</paragraph> 251cdf0e10cSrcweir</tablecell> 252cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 253cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167161" xml-lang="en-US" l10n="E"> 254cdf0e10cSrcweir<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> 255*695fa56cSmseidel</image></paragraph> 256cdf0e10cSrcweir</tablecell> 257cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 258cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167242" xml-lang="en-US" l10n="U" oldref="172">Upper limit of an operator</paragraph> 259cdf0e10cSrcweir</tablecell> 260cdf0e10cSrcweir</tablerow> 261cdf0e10cSrcweir<tablerow> 262cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 263cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E00" xml-lang="en-US" l10n="NEW" localize="false"> 264cdf0e10cSrcweir<item type="literal">lim</item> 265cdf0e10cSrcweir</paragraph> 266cdf0e10cSrcweir</tablecell> 267cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 268cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144093" xml-lang="en-US" l10n="E"> 269cdf0e10cSrcweir<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> 270*695fa56cSmseidel</image></paragraph> 271cdf0e10cSrcweir</tablecell> 272cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 273cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144214" xml-lang="en-US" l10n="U" oldref="144">Limes</paragraph> 274cdf0e10cSrcweir</tablecell> 275cdf0e10cSrcweir</tablerow> 276cdf0e10cSrcweir</table> 277cdf0e10cSrcweir<section id="relatedtopics"> 278cdf0e10cSrcweir<embed href="text/smath/01/03090300.xhp#operatoren"/> 279cdf0e10cSrcweir<embed href="text/smath/01/03091500.xhp#reference"/> 280cdf0e10cSrcweir</section> 281cdf0e10cSrcweir</body> 282cdf0e10cSrcweir</helpdocument> 283
