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