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"> 33<bookmark_value>operators;list of</bookmark_value> 34</bookmark> 35<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> 36</variable></paragraph> 37<table id="tbl_id3143951"> 38<tablerow> 39<tablecell colspan="" rowspan=""> 40<paragraph role="tablehead" id="par_idN11DE4" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 41</tablecell> 42<tablecell colspan="" rowspan=""> 43<paragraph role="tablehead" id="par_id3143994" xml-lang="en-US" l10n="U" oldref="484">Symbol in Elements Window</paragraph> 44</tablecell> 45<tablecell colspan="" rowspan=""> 46<paragraph role="tablehead" id="par_id3144064" xml-lang="en-US" l10n="U" oldref="486">Meaning</paragraph> 47</tablecell> 48</tablerow> 49<tablerow> 50<tablecell colspan="" rowspan=""> 51<paragraph role="tablecontent" id="par_idN11EA2" xml-lang="en-US" l10n="NEW" localize="false"> 52<item type="literal">coprod</item> 53</paragraph> 54</tablecell> 55<tablecell colspan="" rowspan=""> 56<paragraph role="tablecontent" id="par_id3144534" xml-lang="en-US" l10n="E"> 57<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> 58</image></paragraph> 59</tablecell> 60<tablecell colspan="" rowspan=""> 61<paragraph role="tablecontent" id="par_id3144655" xml-lang="en-US" l10n="U" oldref="142">Coproduct</paragraph> 62</tablecell> 63</tablerow> 64<tablerow> 65<tablecell colspan="" rowspan=""> 66<paragraph role="tablecontent" id="par_idN11FB0" xml-lang="en-US" l10n="NEW" localize="false"> 67<item type="literal">from</item> 68</paragraph> 69</tablecell> 70<tablecell colspan="" rowspan=""> 71<paragraph role="tablecontent" id="par_id3166611" xml-lang="en-US" l10n="E"> 72<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> 73</image></paragraph> 74</tablecell> 75<tablecell colspan="" rowspan=""> 76<paragraph role="tablecontent" id="par_id3166692" xml-lang="en-US" l10n="U" oldref="170">Lower limit of an operator</paragraph> 77</tablecell> 78</tablerow> 79<tablerow> 80<tablecell colspan="" rowspan=""> 81<paragraph role="tablecontent" id="par_idN11ED8" xml-lang="en-US" l10n="NEW" localize="false"> 82<item type="literal">from to</item> 83</paragraph> 84</tablecell> 85<tablecell colspan="" rowspan=""> 86<paragraph role="tablecontent" id="par_id3144681" xml-lang="en-US" l10n="E"> 87<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> 88</image></paragraph> 89</tablecell> 90<tablecell colspan="" rowspan=""> 91<paragraph role="tablecontent" id="par_id3144763" xml-lang="en-US" l10n="U" oldref="168">Range from ... to</paragraph> 92</tablecell> 93</tablerow> 94<tablerow> 95<tablecell colspan="" rowspan=""> 96<paragraph role="tablecontent" id="par_idN11F7A" xml-lang="en-US" l10n="NEW" localize="false"> 97<item type="literal">iiint</item> 98</paragraph> 99</tablecell> 100<tablecell colspan="" rowspan=""> 101<paragraph role="tablecontent" id="par_id3145083" xml-lang="en-US" l10n="E"> 102<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> 103</image></paragraph> 104</tablecell> 105<tablecell colspan="" rowspan=""> 106<paragraph role="tablecontent" id="par_id3166584" xml-lang="en-US" l10n="U" oldref="158">Triple integral</paragraph> 107</tablecell> 108</tablerow> 109<tablerow> 110<tablecell colspan="" rowspan=""> 111<paragraph role="tablecontent" id="par_idN11F44" xml-lang="en-US" l10n="NEW" localize="false"> 112<item type="literal">iint</item> 113</paragraph> 114</tablecell> 115<tablecell colspan="" rowspan=""> 116<paragraph role="tablecontent" id="par_id3144936" xml-lang="en-US" l10n="E"> 117<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> 118</image></paragraph> 119</tablecell> 120<tablecell colspan="" rowspan=""> 121<paragraph role="tablecontent" id="par_id3145056" xml-lang="en-US" l10n="U" oldref="156">Double integral</paragraph> 122</tablecell> 123</tablerow> 124<tablerow> 125<tablecell colspan="" rowspan=""> 126<paragraph role="tablecontent" id="par_idN11F0E" xml-lang="en-US" l10n="NEW" localize="false"> 127<item type="literal">int</item> 128</paragraph> 129</tablecell> 130<tablecell colspan="" rowspan=""> 131<paragraph role="tablecontent" id="par_id3144789" xml-lang="en-US" l10n="E"> 132<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> 133</image></paragraph> 134</tablecell> 135<tablecell colspan="" rowspan=""> 136<paragraph role="tablecontent" id="par_id3144909" xml-lang="en-US" l10n="U" oldref="154">Integral</paragraph> 137</tablecell> 138</tablerow> 139<tablerow> 140<tablecell colspan="" rowspan=""> 141<paragraph role="tablecontent" id="par_idN120BE" xml-lang="en-US" l10n="NEW" localize="false"> 142<item type="literal">liminf</item> 143</paragraph> 144</tablecell> 145<tablecell colspan="" rowspan=""/> 146<tablecell colspan="" rowspan=""> 147<paragraph role="tablecontent" id="par_id3167350" xml-lang="en-US" l10n="U" oldref="146">Limes inferior</paragraph> 148</tablecell> 149</tablerow> 150<tablerow> 151<tablecell colspan="" rowspan=""> 152<paragraph role="tablecontent" id="par_idN120D5" xml-lang="en-US" l10n="NEW" localize="false"> 153<item type="literal">limsup</item> 154</paragraph> 155</tablecell> 156<tablecell colspan="" rowspan=""/> 157<tablecell colspan="" rowspan=""> 158<paragraph role="tablecontent" id="par_id3167458" xml-lang="en-US" l10n="U" oldref="148">Limes superior</paragraph> 159</tablecell> 160</tablerow> 161<tablerow> 162<tablecell colspan="" rowspan=""> 163<paragraph role="tablecontent" id="par_idN11FE6" xml-lang="en-US" l10n="NEW" localize="false"> 164<item type="literal">lint</item> 165</paragraph> 166</tablecell> 167<tablecell colspan="" rowspan=""> 168<paragraph role="tablecontent" id="par_id3166719" xml-lang="en-US" l10n="E"> 169<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> 170</image></paragraph> 171</tablecell> 172<tablecell colspan="" rowspan=""> 173<paragraph role="tablecontent" id="par_id3166839" xml-lang="en-US" l10n="U" oldref="160">Curve integral</paragraph> 174</tablecell> 175</tablerow> 176<tablerow> 177<tablecell colspan="" rowspan=""> 178<paragraph role="tablecontent" id="par_idN1201C" xml-lang="en-US" l10n="NEW" localize="false"> 179<item type="literal">llint</item> 180</paragraph> 181</tablecell> 182<tablecell colspan="" rowspan=""> 183<paragraph role="tablecontent" id="par_id3166866" xml-lang="en-US" l10n="E"> 184<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> 185</image></paragraph> 186</tablecell> 187<tablecell colspan="" rowspan=""> 188<paragraph role="tablecontent" id="par_id3166986" xml-lang="en-US" l10n="U" oldref="162">Double curve integral</paragraph> 189</tablecell> 190</tablerow> 191<tablerow> 192<tablecell colspan="" rowspan=""> 193<paragraph role="tablecontent" id="par_idN12052" xml-lang="en-US" l10n="NEW" localize="false"> 194<item type="literal">lllint</item> 195</paragraph> 196</tablecell> 197<tablecell colspan="" rowspan=""> 198<paragraph role="tablecontent" id="par_id3167013" xml-lang="en-US" l10n="E"> 199<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> 200</image></paragraph> 201</tablecell> 202<tablecell colspan="" rowspan=""> 203<paragraph role="tablecontent" id="par_id3167134" xml-lang="en-US" l10n="U" oldref="164">Triple curve integral</paragraph> 204</tablecell> 205</tablerow> 206<tablerow> 207<tablecell colspan="" rowspan=""> 208<paragraph role="tablecontent" id="par_idN120EC" xml-lang="en-US" l10n="NEW" localize="false"> 209<item type="literal">oper</item> 210</paragraph> 211</tablecell> 212<tablecell colspan="" rowspan=""/> 213<tablecell colspan="" rowspan=""> 214<paragraph role="tablecontent" id="par_id3167527" xml-lang="en-US" l10n="U" oldref="166">Placeholder, user-defined operator</paragraph> 215</tablecell> 216</tablerow> 217<tablerow> 218<tablecell colspan="" rowspan=""> 219<paragraph role="tablecontent" id="par_idN11E6C" xml-lang="en-US" l10n="NEW" localize="false"> 220<item type="literal">prod</item> 221</paragraph> 222</tablecell> 223<tablecell colspan="" rowspan=""> 224<paragraph role="tablecontent" id="par_id3144387" xml-lang="en-US" l10n="E"> 225<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> 226</image></paragraph> 227</tablecell> 228<tablecell colspan="" rowspan=""> 229<paragraph role="tablecontent" id="par_id3144508" xml-lang="en-US" l10n="U" oldref="140">Product</paragraph> 230</tablecell> 231</tablerow> 232<tablerow> 233<tablecell colspan="" rowspan=""> 234<paragraph role="tablecontent" id="par_idN11E36" xml-lang="en-US" l10n="NEW" localize="false"> 235<item type="literal">sum</item> 236</paragraph> 237</tablecell> 238<tablecell colspan="" rowspan=""> 239<paragraph role="tablecontent" id="par_id3144240" xml-lang="en-US" l10n="E"> 240<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> 241</image></paragraph> 242</tablecell> 243<tablecell colspan="" rowspan=""> 244<paragraph role="tablecontent" id="par_id3144361" xml-lang="en-US" l10n="U" oldref="138">Sum</paragraph> 245</tablecell> 246</tablerow> 247<tablerow> 248<tablecell colspan="" rowspan=""> 249<paragraph role="tablecontent" id="par_idN12088" xml-lang="en-US" l10n="NEW" localize="false"> 250<item type="literal">to</item> 251</paragraph> 252</tablecell> 253<tablecell colspan="" rowspan=""> 254<paragraph role="tablecontent" id="par_id3167161" xml-lang="en-US" l10n="E"> 255<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> 256</image></paragraph> 257</tablecell> 258<tablecell colspan="" rowspan=""> 259<paragraph role="tablecontent" id="par_id3167242" xml-lang="en-US" l10n="U" oldref="172">Upper limit of an operator</paragraph> 260</tablecell> 261</tablerow> 262<tablerow> 263<tablecell colspan="" rowspan=""> 264<paragraph role="tablecontent" id="par_idN11E00" xml-lang="en-US" l10n="NEW" localize="false"> 265<item type="literal">lim</item> 266</paragraph> 267</tablecell> 268<tablecell colspan="" rowspan=""> 269<paragraph role="tablecontent" id="par_id3144093" xml-lang="en-US" l10n="E"> 270<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> 271</image></paragraph> 272</tablecell> 273<tablecell colspan="" rowspan=""> 274<paragraph role="tablecontent" id="par_id3144214" xml-lang="en-US" l10n="U" oldref="144">Limes</paragraph> 275</tablecell> 276</tablerow> 277</table> 278<section id="relatedtopics"> 279<embed href="text/smath/01/03090300.xhp#operatoren"/> 280<embed href="text/smath/01/03091500.xhp#reference"/> 281</section> 282</body> 283</helpdocument> 284
