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="textsmath0103091502xml" indexer="include" status="PUBLISH"> 27<title id="tit" xml-lang="en-US">Relations</title> 28<filename>/text/smath/01/03091502.xhp</filename> 29</topic> 30</meta> 31<body> 32<bookmark xml-lang="en-US" branch="index" id="bm_id3149650"><bookmark_value>relations operators;list of</bookmark_value> 33</bookmark> 34<paragraph role="heading" id="hd_id2083193" xml-lang="en-US" level="1" l10n="NEW"><variable id="relations"><link href="text/smath/01/03091502.xhp" name="Relations">Relations</link> 35</variable></paragraph> 36<table id="tbl_id3150676" class="list"> 37<tablerow> 38<tablecell colspan="" rowspan=""> 39<paragraph role="tablehead" id="par_idN10C98" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 40</tablecell> 41<tablecell colspan="" rowspan=""> 42<paragraph role="tablehead" id="par_id3154032" xml-lang="en-US" l10n="U" oldref="475">Symbol in Elements Window</paragraph> 43</tablecell> 44<tablecell colspan="" rowspan=""> 45<paragraph role="tablehead" id="par_id3147272" xml-lang="en-US" l10n="U" oldref="477">Meaning</paragraph> 46</tablecell> 47</tablerow> 48<tablerow> 49<tablecell colspan="" rowspan=""> 50<paragraph role="tablecontent" id="par_idN10E08" xml-lang="en-US" l10n="NEW"> 51<item type="literal"><</item> or <item type="literal">lt</item> 52</paragraph> 53</tablecell> 54<tablecell colspan="" rowspan=""> 55<paragraph role="tablecontent" id="par_id3156247" xml-lang="en-US" l10n="E"> 56<image id="img_id3156253" src="starmath/res/bi21305.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156253" xml-lang="en-US">Icon</alt> 57</image></paragraph> 58</tablecell> 59<tablecell colspan="" rowspan=""> 60<paragraph role="tablecontent" id="par_id3150068" xml-lang="en-US" l10n="U" oldref="68">Less than</paragraph> 61</tablecell> 62</tablerow> 63<tablerow> 64<tablecell colspan="" rowspan=""> 65<paragraph role="tablecontent" id="par_id9464726" xml-lang="en-US" l10n="NEW"> 66<item type="literal"><<</item> or <item type="literal">ll</item> 67</paragraph> 68</tablecell> 69<tablecell colspan="" rowspan=""/> 70<tablecell colspan="" rowspan=""> 71<paragraph role="tablecontent" id="par_id3149922" xml-lang="en-US" l10n="U" oldref="80">Much less than</paragraph> 72</tablecell> 73</tablerow> 74<tablerow> 75<tablecell colspan="" rowspan=""> 76<paragraph role="tablecontent" id="par_idN11059" xml-lang="en-US" l10n="NEW"> 77<item type="literal"><=</item> or <item type="literal">le</item> 78</paragraph> 79</tablecell> 80<tablecell colspan="" rowspan=""> 81<paragraph role="tablecontent" id="par_id3153031" xml-lang="en-US" l10n="E"> 82<image id="img_id3153037" src="starmath/res/bi21313.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153037" xml-lang="en-US">Icon</alt> 83</image></paragraph> 84</tablecell> 85<tablecell colspan="" rowspan=""> 86<paragraph role="tablecontent" id="par_id3152714" xml-lang="en-US" l10n="U" oldref="76">Less than or equal to</paragraph> 87</tablecell> 88</tablerow> 89<tablerow> 90<tablecell colspan="" rowspan=""> 91<paragraph role="tablecontent" id="par_idN10D00" xml-lang="en-US" l10n="NEW"> 92<item type="literal"><></item> or <item type="literal">neq</item> 93</paragraph> 94</tablecell> 95<tablecell colspan="" rowspan=""> 96<paragraph role="tablecontent" id="par_id3155548" xml-lang="en-US" l10n="E"> 97<image id="img_id3155554" src="starmath/res/bi21302.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3155554" xml-lang="en-US">Icon</alt> 98</image></paragraph> 99</tablecell> 100<tablecell colspan="" rowspan=""> 101<paragraph role="tablecontent" id="par_id3148672" xml-lang="en-US" l10n="U" oldref="32">Not equal</paragraph> 102</tablecell> 103</tablerow> 104<tablerow> 105<tablecell colspan="" rowspan=""> 106<paragraph role="tablecontent" id="par_idN10CBF" xml-lang="en-US" l10n="NEW" localize="false"> 107<item type="literal">=</item> 108</paragraph> 109</tablecell> 110<tablecell colspan="" rowspan=""> 111<paragraph role="tablecontent" id="par_id3150600" xml-lang="en-US" l10n="E"> 112<image id="img_id3150606" src="starmath/res/bi21301.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150606" xml-lang="en-US">Icon</alt> 113</image></paragraph> 114</tablecell> 115<tablecell colspan="" rowspan=""> 116<paragraph role="tablecontent" id="par_id3155358" xml-lang="en-US" l10n="U" oldref="30">Equation</paragraph> 117</tablecell> 118</tablerow> 119<tablerow> 120<tablecell colspan="" rowspan=""> 121<paragraph role="tablecontent" id="par_idN10E4D" xml-lang="en-US" l10n="NEW"> 122<item type="literal">></item> or <item type="literal">gt</item> 123</paragraph> 124</tablecell> 125<tablecell colspan="" rowspan=""> 126<paragraph role="tablecontent" id="par_id3152978" xml-lang="en-US" l10n="E"> 127<image id="img_id3152984" src="starmath/res/bi21306.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152984" xml-lang="en-US">Icon</alt> 128</image></paragraph> 129</tablecell> 130<tablecell colspan="" rowspan=""> 131<paragraph role="tablecontent" id="par_id3150515" xml-lang="en-US" l10n="U" oldref="66">Greater than</paragraph> 132</tablecell> 133</tablerow> 134<tablerow> 135<tablecell colspan="" rowspan=""> 136<paragraph role="tablecontent" id="par_idN1109E" xml-lang="en-US" l10n="NEW"> 137<item type="literal">>=</item> or <item type="literal">ge</item> 138</paragraph> 139</tablecell> 140<tablecell colspan="" rowspan=""> 141<paragraph role="tablecontent" id="par_id3152741" xml-lang="en-US" l10n="E"> 142<image id="img_id3153876" src="starmath/res/bi21314.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153876" xml-lang="en-US">Icon</alt> 143</image></paragraph> 144</tablecell> 145<tablecell colspan="" rowspan=""> 146<paragraph role="tablecontent" id="par_id3150308" xml-lang="en-US" l10n="U" oldref="70">Greater than or equal to</paragraph> 147</tablecell> 148</tablerow> 149<tablerow> 150<tablecell colspan="" rowspan=""> 151<paragraph role="tablecontent" id="par_idN11183" xml-lang="en-US" l10n="NEW"> 152<item type="literal">>></item> or <item type="literal">gg</item> 153</paragraph> 154</tablecell> 155<tablecell colspan="" rowspan=""/> 156<tablecell colspan="" rowspan=""> 157<paragraph role="tablecontent" id="par_id3153863" xml-lang="en-US" l10n="U" oldref="74">Much greater than</paragraph> 158</tablecell> 159</tablerow> 160<tablerow> 161<tablecell colspan="" rowspan=""> 162<paragraph role="tablecontent" id="par_idN10D45" xml-lang="en-US" l10n="NEW" localize="false"> 163<item type="literal">approx</item> 164</paragraph> 165</tablecell> 166<tablecell colspan="" rowspan=""> 167<paragraph role="tablecontent" id="par_id3150840" xml-lang="en-US" l10n="E"> 168<image id="img_id3150846" src="starmath/res/bi21307.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150846" xml-lang="en-US">Icon</alt> 169</image></paragraph> 170</tablecell> 171<tablecell colspan="" rowspan=""> 172<paragraph role="tablecontent" id="par_id3148622" xml-lang="en-US" l10n="U" oldref="86">Is approximately</paragraph> 173</tablecell> 174</tablerow> 175<tablerow> 176<tablecell colspan="" rowspan=""> 177<paragraph role="tablecontent" id="par_id9866497" xml-lang="en-US" l10n="NEW" localize="false"> 178<item type="literal">def</item> 179</paragraph> 180</tablecell> 181<tablecell colspan="" rowspan=""/> 182<tablecell colspan="" rowspan=""> 183<paragraph role="tablecontent" id="par_id3148502" xml-lang="en-US" l10n="U" oldref="82">is defined as/by definition equal to</paragraph> 184</tablecell> 185</tablerow> 186<tablerow> 187<tablecell colspan="" rowspan=""> 188<paragraph role="tablecontent" id="par_idN10D86" xml-lang="en-US" l10n="NEW" localize="false"> 189<item type="literal">divides</item> 190</paragraph> 191</tablecell> 192<tablecell colspan="" rowspan=""> 193<paragraph role="tablecontent" id="par_id3154050" xml-lang="en-US" l10n="E"> 194<image id="img_id3154056" src="starmath/res/bi21322.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154056" xml-lang="en-US">Icon</alt> 195</image></paragraph> 196</tablecell> 197<tablecell colspan="" rowspan=""> 198<paragraph role="tablecontent" id="par_id3153749" xml-lang="en-US" l10n="U" oldref="375">divides</paragraph> 199</tablecell> 200</tablerow> 201<tablerow> 202<tablecell colspan="" rowspan=""> 203<paragraph role="tablecontent" id="par_idN11165" xml-lang="en-US" l10n="NEW" localize="false"> 204<item type="literal">dlarrow</item> 205</paragraph> 206</tablecell> 207<tablecell colspan="" rowspan=""> 208<paragraph role="tablecontent" id="par_id3150419" xml-lang="en-US" l10n="E"> 209<image id="img_id3150425" src="starmath/res/bi21324.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150425" xml-lang="en-US">Icon</alt> 210</image></paragraph> 211</tablecell> 212<tablecell colspan="" rowspan=""> 213<paragraph role="tablecontent" id="par_id3163845" xml-lang="en-US" l10n="U" oldref="383">Arrow with double line to the left</paragraph> 214</tablecell> 215</tablerow> 216<tablerow> 217<tablecell colspan="" rowspan=""> 218<paragraph role="tablecontent" id="par_idN111A6" xml-lang="en-US" l10n="NEW" localize="false"> 219<item type="literal">dlrarrow</item> 220</paragraph> 221</tablecell> 222<tablecell colspan="" rowspan=""> 223<paragraph role="tablecontent" id="par_id3154424" xml-lang="en-US" l10n="E"> 224<image id="img_id3154429" src="starmath/res/bi21325.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154429" xml-lang="en-US">Icon</alt> 225</image></paragraph> 226</tablecell> 227<tablecell colspan="" rowspan=""> 228<paragraph role="tablecontent" id="par_id3156166" xml-lang="en-US" l10n="U" oldref="387">Arrow with double line to the left and the right</paragraph> 229</tablecell> 230</tablerow> 231<tablerow> 232<tablecell colspan="" rowspan=""> 233<paragraph role="tablecontent" id="par_idN111E7" xml-lang="en-US" l10n="NEW" localize="false"> 234<item type="literal">drarrow</item> 235</paragraph> 236</tablecell> 237<tablecell colspan="" rowspan=""> 238<paragraph role="tablecontent" id="par_id3155410" xml-lang="en-US" l10n="E"> 239<image id="img_id3155417" src="starmath/res/bi21326.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3155417" xml-lang="en-US">Icon</alt> 240</image></paragraph> 241</tablecell> 242<tablecell colspan="" rowspan=""> 243<paragraph role="tablecontent" id="par_id3155291" xml-lang="en-US" l10n="U" oldref="385">Arrow with double line to the right</paragraph> 244</tablecell> 245</tablerow> 246<tablerow> 247<tablecell colspan="" rowspan=""> 248<paragraph role="tablecontent" id="par_idN11018" xml-lang="en-US" l10n="NEW" localize="false"> 249<item type="literal">equiv</item> 250</paragraph> 251</tablecell> 252<tablecell colspan="" rowspan=""> 253<paragraph role="tablecontent" id="par_id3153373" xml-lang="en-US" l10n="E"> 254<image id="img_id3153379" src="starmath/res/bi21303.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153379" xml-lang="en-US">Icon</alt> 255</image></paragraph> 256</tablecell> 257<tablecell colspan="" rowspan=""> 258<paragraph role="tablecontent" id="par_id3152934" xml-lang="en-US" l10n="U" oldref="84">Is equivalent/congruent to</paragraph> 259</tablecell> 260</tablerow> 261<tablerow> 262<tablecell colspan="" rowspan=""> 263<paragraph role="tablecontent" id="par_idN10F96" xml-lang="en-US" l10n="NEW" localize="false"> 264<item type="literal">geslant</item> 265</paragraph> 266</tablecell> 267<tablecell colspan="" rowspan=""> 268<paragraph role="tablecontent" id="par_id3149139" xml-lang="en-US" l10n="E"> 269<image id="img_id3149145" src="starmath/res/bi21310.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149145" xml-lang="en-US">Icon</alt> 270</image></paragraph> 271</tablecell> 272<tablecell colspan="" rowspan=""> 273<paragraph role="tablecontent" id="par_id3153616" xml-lang="en-US" l10n="U" oldref="72">Greater than-equal to</paragraph> 274</tablecell> 275</tablerow> 276<tablerow> 277<tablecell colspan="" rowspan=""> 278<paragraph role="tablecontent" id="par_idN10F55" xml-lang="en-US" l10n="NEW" localize="false"> 279<item type="literal">leslant</item> 280</paragraph> 281</tablecell> 282<tablecell colspan="" rowspan=""> 283<paragraph role="tablecontent" id="par_id3153648" xml-lang="en-US" l10n="E"> 284<image id="img_id3153653" src="starmath/res/bi21309.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153653" xml-lang="en-US">Icon</alt> 285</image></paragraph> 286</tablecell> 287<tablecell colspan="" rowspan=""> 288<paragraph role="tablecontent" id="par_id3153690" xml-lang="en-US" l10n="U" oldref="78">Less than-equal to</paragraph> 289</tablecell> 290</tablerow> 291<tablerow> 292<tablecell colspan="" rowspan=""> 293<paragraph role="tablecontent" id="par_idN10DC7" xml-lang="en-US" l10n="NEW" localize="false"> 294<item type="literal">ndivides</item> 295</paragraph> 296</tablecell> 297<tablecell colspan="" rowspan=""> 298<paragraph role="tablecontent" id="par_id3145098" xml-lang="en-US" l10n="E"> 299<image id="img_id3145104" src="starmath/res/bi21323.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3145104" xml-lang="en-US">Icon</alt> 300</image></paragraph> 301</tablecell> 302<tablecell colspan="" rowspan=""> 303<paragraph role="tablecontent" id="par_id3150374" xml-lang="en-US" l10n="U" oldref="377">does not divide</paragraph> 304</tablecell> 305</tablerow> 306<tablerow> 307<tablecell colspan="" rowspan=""> 308<paragraph role="tablecontent" id="par_idN10F14" xml-lang="en-US" l10n="NEW" localize="false"> 309<item type="literal">ortho</item> 310</paragraph> 311</tablecell> 312<tablecell colspan="" rowspan=""> 313<paragraph role="tablecontent" id="par_id3152809" xml-lang="en-US" l10n="E"> 314<image id="img_id3150267" src="starmath/res/bi21304.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150267" xml-lang="en-US">Icon</alt> 315</image></paragraph> 316</tablecell> 317<tablecell colspan="" rowspan=""> 318<paragraph role="tablecontent" id="par_id3151063" xml-lang="en-US" l10n="U" oldref="94">Is orthogonal to</paragraph> 319</tablecell> 320</tablerow> 321<tablerow> 322<tablecell colspan="" rowspan=""> 323<paragraph role="tablecontent" id="par_idN10ED3" xml-lang="en-US" l10n="NEW" localize="false"> 324<item type="literal">parallel</item> 325</paragraph> 326</tablecell> 327<tablecell colspan="" rowspan=""> 328<paragraph role="tablecontent" id="par_id3153161" xml-lang="en-US" l10n="E"> 329<image id="img_id3153168" src="starmath/res/bi21308.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153168" xml-lang="en-US">Icon</alt> 330</image></paragraph> 331</tablecell> 332<tablecell colspan="" rowspan=""> 333<paragraph role="tablecontent" id="par_id3152784" xml-lang="en-US" l10n="U" oldref="96">Is parallel to</paragraph> 334</tablecell> 335</tablerow> 336<tablerow> 337<tablecell colspan="" rowspan=""> 338<paragraph role="tablecontent" id="par_idN110E3" xml-lang="en-US" l10n="NEW" localize="false"> 339<item type="literal">prop</item> 340</paragraph> 341</tablecell> 342<tablecell colspan="" rowspan=""> 343<paragraph role="tablecontent" id="par_id3150336" xml-lang="en-US" l10n="E"> 344<image id="img_id3148396" src="starmath/res/bi21312.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3148396" xml-lang="en-US">Icon</alt> 345</image></paragraph> 346</tablecell> 347<tablecell colspan="" rowspan=""> 348<paragraph role="tablecontent" id="par_id3153930" xml-lang="en-US" l10n="U" oldref="92">Is proportional to</paragraph> 349</tablecell> 350</tablerow> 351<tablerow> 352<tablecell colspan="" rowspan=""> 353<paragraph role="tablecontent" id="par_idN10FD7" xml-lang="en-US" l10n="NEW" localize="false"> 354<item type="literal">sim</item> 355</paragraph> 356</tablecell> 357<tablecell colspan="" rowspan=""> 358<paragraph role="tablecontent" id="par_id3154416" xml-lang="en-US" l10n="E"> 359<image id="img_id3154422" src="starmath/res/bi21315.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154422" xml-lang="en-US">Icon</alt> 360</image></paragraph> 361</tablecell> 362<tablecell colspan="" rowspan=""> 363<paragraph role="tablecontent" id="par_id3145154" xml-lang="en-US" l10n="U" oldref="88">Is similar to</paragraph> 364</tablecell> 365</tablerow> 366<tablerow> 367<tablecell colspan="" rowspan=""> 368<paragraph role="tablecontent" id="par_idN10E92" xml-lang="en-US" l10n="NEW" localize="false"> 369<item type="literal">simeq</item> 370</paragraph> 371</tablecell> 372<tablecell colspan="" rowspan=""> 373<paragraph role="tablecontent" id="par_id3149265" xml-lang="en-US" l10n="E"> 374<image id="img_id3149271" src="starmath/res/bi21311.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149271" xml-lang="en-US">Icon</alt> 375</image></paragraph> 376</tablecell> 377<tablecell colspan="" rowspan=""> 378<paragraph role="tablecontent" id="par_id3151346" xml-lang="en-US" l10n="U" oldref="90">Is similar or equal to</paragraph> 379</tablecell> 380</tablerow> 381<tablerow> 382<tablecell colspan="" rowspan=""> 383<paragraph role="tablecontent" id="par_idN11124" xml-lang="en-US" l10n="NEW" localize="false"> 384<item type="literal">toward</item> 385</paragraph> 386</tablecell> 387<tablecell colspan="" rowspan=""> 388<paragraph role="tablecontent" id="par_id3153957" xml-lang="en-US" l10n="E"> 389<image id="img_id3153962" src="starmath/res/bi21316.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153962" xml-lang="en-US">Icon</alt> 390</image></paragraph> 391</tablecell> 392<tablecell colspan="" rowspan=""> 393<paragraph role="tablecontent" id="par_id3155844" xml-lang="en-US" l10n="U" oldref="134">Toward</paragraph> 394</tablecell> 395</tablerow> 396<tablerow> 397<tablecell colspan="" rowspan=""> 398<paragraph role="tablecontent" id="par_id4814489" xml-lang="en-US" l10n="NEW" localize="false"> 399<item type="literal">transl</item> 400</paragraph> 401</tablecell> 402<tablecell colspan="" rowspan=""/> 403<tablecell colspan="" rowspan=""> 404<paragraph role="tablecontent" id="par_id3152853" xml-lang="en-US" l10n="U" oldref="98">Correspondence symbol image of</paragraph> 405</tablecell> 406</tablerow> 407<tablerow> 408<tablecell colspan="" rowspan=""> 409<paragraph role="tablecontent" id="par_id3677758" xml-lang="en-US" l10n="NEW" localize="false"> 410<item type="literal">transr</item> 411</paragraph> 412</tablecell> 413<tablecell colspan="" rowspan=""/> 414<tablecell colspan="" rowspan=""> 415<paragraph role="tablecontent" id="par_id3157974" xml-lang="en-US" l10n="U" oldref="100">Correspondence symbol original of</paragraph> 416</tablecell> 417</tablerow> 418</table> 419<section id="relatedtopics"> 420<embed href="text/smath/01/03090200.xhp#relationen"/> 421<embed href="text/smath/01/03091500.xhp#reference"/> 422</section> 423</body> 424</helpdocument> 425
