1cdf0e10cSrcweir<?xml version="1.0" encoding="UTF-8"?> 2cdf0e10cSrcweir 3cdf0e10cSrcweir 4cdf0e10cSrcweir 5*52ac0773SAndrew Rist<!--*********************************************************** 6*52ac0773SAndrew Rist * 7*52ac0773SAndrew Rist * Licensed to the Apache Software Foundation (ASF) under one 8*52ac0773SAndrew Rist * or more contributor license agreements. See the NOTICE file 9*52ac0773SAndrew Rist * distributed with this work for additional information 10*52ac0773SAndrew Rist * regarding copyright ownership. The ASF licenses this file 11*52ac0773SAndrew Rist * to you under the Apache License, Version 2.0 (the 12*52ac0773SAndrew Rist * "License"); you may not use this file except in compliance 13*52ac0773SAndrew Rist * with the License. You may obtain a copy of the License at 14*52ac0773SAndrew Rist * 15*52ac0773SAndrew Rist * http://www.apache.org/licenses/LICENSE-2.0 16*52ac0773SAndrew Rist * 17*52ac0773SAndrew Rist * Unless required by applicable law or agreed to in writing, 18*52ac0773SAndrew Rist * software distributed under the License is distributed on an 19*52ac0773SAndrew Rist * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY 20*52ac0773SAndrew Rist * KIND, either express or implied. See the License for the 21*52ac0773SAndrew Rist * specific language governing permissions and limitations 22*52ac0773SAndrew Rist * under the License. 23*52ac0773SAndrew Rist * 24*52ac0773SAndrew Rist ***********************************************************--> 25*52ac0773SAndrew Rist 26*52ac0773SAndrew Rist 27cdf0e10cSrcweir 28cdf0e10cSrcweir 29cdf0e10cSrcweir <helpdocument version="1.0"> 30cdf0e10cSrcweir<meta> 31cdf0e10cSrcweir<topic id="textsmath0103091505xml" indexer="include" status="PUBLISH"> 32cdf0e10cSrcweir<title id="tit" xml-lang="en-US">Operators</title> 33cdf0e10cSrcweir<filename>/text/smath/01/03091505.xhp</filename> 34cdf0e10cSrcweir</topic> 35cdf0e10cSrcweir</meta> 36cdf0e10cSrcweir<body> 37cdf0e10cSrcweir<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"><bookmark_value>operators;list of</bookmark_value> 38cdf0e10cSrcweir</bookmark> 39cdf0e10cSrcweir<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> 40cdf0e10cSrcweir</variable></paragraph> 41cdf0e10cSrcweir<table id="tbl_id3143951"> 42cdf0e10cSrcweir<tablerow> 43cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 44cdf0e10cSrcweir<paragraph role="tablehead" id="par_idN11DE4" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 45cdf0e10cSrcweir</tablecell> 46cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 47cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3143994" xml-lang="en-US" l10n="U" oldref="484">Symbol in Elements Window</paragraph> 48cdf0e10cSrcweir</tablecell> 49cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 50cdf0e10cSrcweir<paragraph role="tablehead" id="par_id3144064" xml-lang="en-US" l10n="U" oldref="486">Meaning</paragraph> 51cdf0e10cSrcweir</tablecell> 52cdf0e10cSrcweir</tablerow> 53cdf0e10cSrcweir<tablerow> 54cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 55cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11EA2" xml-lang="en-US" l10n="NEW" localize="false"> 56cdf0e10cSrcweir<item type="literal">coprod</item> 57cdf0e10cSrcweir</paragraph> 58cdf0e10cSrcweir</tablecell> 59cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 60cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144534" xml-lang="en-US" l10n="E"> 61cdf0e10cSrcweir<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> 62cdf0e10cSrcweir </image></paragraph> 63cdf0e10cSrcweir</tablecell> 64cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 65cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144655" xml-lang="en-US" l10n="U" oldref="142">Coproduct</paragraph> 66cdf0e10cSrcweir</tablecell> 67cdf0e10cSrcweir</tablerow> 68cdf0e10cSrcweir<tablerow> 69cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 70cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11FB0" xml-lang="en-US" l10n="NEW" localize="false"> 71cdf0e10cSrcweir<item type="literal">from</item> 72cdf0e10cSrcweir</paragraph> 73cdf0e10cSrcweir</tablecell> 74cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 75cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166611" xml-lang="en-US" l10n="E"> 76cdf0e10cSrcweir<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> 77cdf0e10cSrcweir </image></paragraph> 78cdf0e10cSrcweir</tablecell> 79cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 80cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166692" xml-lang="en-US" l10n="U" oldref="170">Lower limit of an operator</paragraph> 81cdf0e10cSrcweir</tablecell> 82cdf0e10cSrcweir</tablerow> 83cdf0e10cSrcweir<tablerow> 84cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 85cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11ED8" xml-lang="en-US" l10n="NEW" localize="false"> 86cdf0e10cSrcweir<item type="literal">from to</item> 87cdf0e10cSrcweir</paragraph> 88cdf0e10cSrcweir</tablecell> 89cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 90cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144681" xml-lang="en-US" l10n="E"> 91cdf0e10cSrcweir<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> 92cdf0e10cSrcweir </image></paragraph> 93cdf0e10cSrcweir</tablecell> 94cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 95cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144763" xml-lang="en-US" l10n="U" oldref="168">Range from ... to</paragraph> 96cdf0e10cSrcweir</tablecell> 97cdf0e10cSrcweir</tablerow> 98cdf0e10cSrcweir<tablerow> 99cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 100cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F7A" xml-lang="en-US" l10n="NEW" localize="false"> 101cdf0e10cSrcweir<item type="literal">iiint</item> 102cdf0e10cSrcweir</paragraph> 103cdf0e10cSrcweir</tablecell> 104cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 105cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3145083" xml-lang="en-US" l10n="E"> 106cdf0e10cSrcweir<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> 107cdf0e10cSrcweir </image></paragraph> 108cdf0e10cSrcweir</tablecell> 109cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 110cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166584" xml-lang="en-US" l10n="U" oldref="158">Triple integral</paragraph> 111cdf0e10cSrcweir</tablecell> 112cdf0e10cSrcweir</tablerow> 113cdf0e10cSrcweir<tablerow> 114cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 115cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F44" xml-lang="en-US" l10n="NEW" localize="false"> 116cdf0e10cSrcweir<item type="literal">iint</item> 117cdf0e10cSrcweir</paragraph> 118cdf0e10cSrcweir</tablecell> 119cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 120cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144936" xml-lang="en-US" l10n="E"> 121cdf0e10cSrcweir<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> 122cdf0e10cSrcweir </image></paragraph> 123cdf0e10cSrcweir</tablecell> 124cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 125cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3145056" xml-lang="en-US" l10n="U" oldref="156">Double integral</paragraph> 126cdf0e10cSrcweir</tablecell> 127cdf0e10cSrcweir</tablerow> 128cdf0e10cSrcweir<tablerow> 129cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 130cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11F0E" xml-lang="en-US" l10n="NEW" localize="false"> 131cdf0e10cSrcweir<item type="literal">int</item> 132cdf0e10cSrcweir</paragraph> 133cdf0e10cSrcweir</tablecell> 134cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 135cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144789" xml-lang="en-US" l10n="E"> 136cdf0e10cSrcweir<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> 137cdf0e10cSrcweir </image></paragraph> 138cdf0e10cSrcweir</tablecell> 139cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 140cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144909" xml-lang="en-US" l10n="U" oldref="154">Integral</paragraph> 141cdf0e10cSrcweir</tablecell> 142cdf0e10cSrcweir</tablerow> 143cdf0e10cSrcweir<tablerow> 144cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 145cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120BE" xml-lang="en-US" l10n="NEW" localize="false"> 146cdf0e10cSrcweir<item type="literal">liminf</item> 147cdf0e10cSrcweir</paragraph> 148cdf0e10cSrcweir</tablecell> 149cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 150cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 151cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167350" xml-lang="en-US" l10n="U" oldref="146">Limes inferior</paragraph> 152cdf0e10cSrcweir</tablecell> 153cdf0e10cSrcweir</tablerow> 154cdf0e10cSrcweir<tablerow> 155cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 156cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120D5" xml-lang="en-US" l10n="NEW" localize="false"> 157cdf0e10cSrcweir<item type="literal">limsup</item> 158cdf0e10cSrcweir</paragraph> 159cdf0e10cSrcweir</tablecell> 160cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 161cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 162cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167458" xml-lang="en-US" l10n="U" oldref="148">Limes superior</paragraph> 163cdf0e10cSrcweir</tablecell> 164cdf0e10cSrcweir</tablerow> 165cdf0e10cSrcweir<tablerow> 166cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 167cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11FE6" xml-lang="en-US" l10n="NEW" localize="false"> 168cdf0e10cSrcweir<item type="literal">lint</item> 169cdf0e10cSrcweir</paragraph> 170cdf0e10cSrcweir</tablecell> 171cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 172cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166719" xml-lang="en-US" l10n="E"> 173cdf0e10cSrcweir<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> 174cdf0e10cSrcweir </image></paragraph> 175cdf0e10cSrcweir</tablecell> 176cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 177cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166839" xml-lang="en-US" l10n="U" oldref="160">Curve integral</paragraph> 178cdf0e10cSrcweir</tablecell> 179cdf0e10cSrcweir</tablerow> 180cdf0e10cSrcweir<tablerow> 181cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 182cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN1201C" xml-lang="en-US" l10n="NEW" localize="false"> 183cdf0e10cSrcweir<item type="literal">llint</item> 184cdf0e10cSrcweir</paragraph> 185cdf0e10cSrcweir</tablecell> 186cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 187cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166866" xml-lang="en-US" l10n="E"> 188cdf0e10cSrcweir<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> 189cdf0e10cSrcweir </image></paragraph> 190cdf0e10cSrcweir</tablecell> 191cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 192cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3166986" xml-lang="en-US" l10n="U" oldref="162">Double curve integral</paragraph> 193cdf0e10cSrcweir</tablecell> 194cdf0e10cSrcweir</tablerow> 195cdf0e10cSrcweir<tablerow> 196cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 197cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN12052" xml-lang="en-US" l10n="NEW" localize="false"> 198cdf0e10cSrcweir<item type="literal">lllint</item> 199cdf0e10cSrcweir</paragraph> 200cdf0e10cSrcweir</tablecell> 201cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 202cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167013" xml-lang="en-US" l10n="E"> 203cdf0e10cSrcweir<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> 204cdf0e10cSrcweir </image></paragraph> 205cdf0e10cSrcweir</tablecell> 206cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 207cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167134" xml-lang="en-US" l10n="U" oldref="164">Triple curve integral</paragraph> 208cdf0e10cSrcweir</tablecell> 209cdf0e10cSrcweir</tablerow> 210cdf0e10cSrcweir<tablerow> 211cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 212cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN120EC" xml-lang="en-US" l10n="NEW" localize="false"> 213cdf0e10cSrcweir<item type="literal">oper</item> 214cdf0e10cSrcweir</paragraph> 215cdf0e10cSrcweir</tablecell> 216cdf0e10cSrcweir<tablecell colspan="" rowspan=""/> 217cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 218cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167527" xml-lang="en-US" l10n="U" oldref="166">Placeholder, user-defined operator</paragraph> 219cdf0e10cSrcweir</tablecell> 220cdf0e10cSrcweir</tablerow> 221cdf0e10cSrcweir<tablerow> 222cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 223cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E6C" xml-lang="en-US" l10n="NEW" localize="false"> 224cdf0e10cSrcweir<item type="literal">prod</item> 225cdf0e10cSrcweir</paragraph> 226cdf0e10cSrcweir</tablecell> 227cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 228cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144387" xml-lang="en-US" l10n="E"> 229cdf0e10cSrcweir<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> 230cdf0e10cSrcweir </image></paragraph> 231cdf0e10cSrcweir</tablecell> 232cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 233cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144508" xml-lang="en-US" l10n="U" oldref="140">Product</paragraph> 234cdf0e10cSrcweir</tablecell> 235cdf0e10cSrcweir</tablerow> 236cdf0e10cSrcweir<tablerow> 237cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 238cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E36" xml-lang="en-US" l10n="NEW" localize="false"> 239cdf0e10cSrcweir<item type="literal">sum</item> 240cdf0e10cSrcweir</paragraph> 241cdf0e10cSrcweir</tablecell> 242cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 243cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144240" xml-lang="en-US" l10n="E"> 244cdf0e10cSrcweir<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> 245cdf0e10cSrcweir </image></paragraph> 246cdf0e10cSrcweir</tablecell> 247cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 248cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144361" xml-lang="en-US" l10n="U" oldref="138">Sum</paragraph> 249cdf0e10cSrcweir</tablecell> 250cdf0e10cSrcweir</tablerow> 251cdf0e10cSrcweir<tablerow> 252cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 253cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN12088" xml-lang="en-US" l10n="NEW" localize="false"> 254cdf0e10cSrcweir<item type="literal">to</item> 255cdf0e10cSrcweir</paragraph> 256cdf0e10cSrcweir</tablecell> 257cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 258cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167161" xml-lang="en-US" l10n="E"> 259cdf0e10cSrcweir<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> 260cdf0e10cSrcweir </image></paragraph> 261cdf0e10cSrcweir</tablecell> 262cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 263cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3167242" xml-lang="en-US" l10n="U" oldref="172">Upper limit of an operator</paragraph> 264cdf0e10cSrcweir</tablecell> 265cdf0e10cSrcweir</tablerow> 266cdf0e10cSrcweir<tablerow> 267cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 268cdf0e10cSrcweir<paragraph role="tablecontent" id="par_idN11E00" xml-lang="en-US" l10n="NEW" localize="false"> 269cdf0e10cSrcweir<item type="literal">lim</item> 270cdf0e10cSrcweir</paragraph> 271cdf0e10cSrcweir</tablecell> 272cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 273cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144093" xml-lang="en-US" l10n="E"> 274cdf0e10cSrcweir<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> 275cdf0e10cSrcweir </image></paragraph> 276cdf0e10cSrcweir</tablecell> 277cdf0e10cSrcweir<tablecell colspan="" rowspan=""> 278cdf0e10cSrcweir<paragraph role="tablecontent" id="par_id3144214" xml-lang="en-US" l10n="U" oldref="144">Limes</paragraph> 279cdf0e10cSrcweir</tablecell> 280cdf0e10cSrcweir</tablerow> 281cdf0e10cSrcweir</table> 282cdf0e10cSrcweir<section id="relatedtopics"> 283cdf0e10cSrcweir<embed href="text/smath/01/03090300.xhp#operatoren"/> 284cdf0e10cSrcweir<embed href="text/smath/01/03091500.xhp#reference"/> 285cdf0e10cSrcweir</section> 286cdf0e10cSrcweir</body> 287cdf0e10cSrcweir</helpdocument> 288
