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