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