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="textsmath0103091502xml" indexer="include" status="PUBLISH"> 32<title id="tit" xml-lang="en-US">Relations</title> 33<filename>/text/smath/01/03091502.xhp</filename> 34</topic> 35</meta> 36<body> 37<bookmark xml-lang="en-US" branch="index" id="bm_id3149650"><bookmark_value>relations operators;list of</bookmark_value> 38</bookmark> 39<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> 40</variable></paragraph> 41<table id="tbl_id3150676" class="list"> 42<tablerow> 43<tablecell colspan="" rowspan=""> 44<paragraph role="tablehead" id="par_idN10C98" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 45</tablecell> 46<tablecell colspan="" rowspan=""> 47<paragraph role="tablehead" id="par_id3154032" xml-lang="en-US" l10n="U" oldref="475">Symbol in Elements Window</paragraph> 48</tablecell> 49<tablecell colspan="" rowspan=""> 50<paragraph role="tablehead" id="par_id3147272" xml-lang="en-US" l10n="U" oldref="477">Meaning</paragraph> 51</tablecell> 52</tablerow> 53<tablerow> 54<tablecell colspan="" rowspan=""> 55<paragraph role="tablecontent" id="par_idN10E08" xml-lang="en-US" l10n="NEW"> 56<item type="literal"><</item> or <item type="literal">lt</item> 57</paragraph> 58</tablecell> 59<tablecell colspan="" rowspan=""> 60<paragraph role="tablecontent" id="par_id3156247" xml-lang="en-US" l10n="E"> 61<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> 62 </image></paragraph> 63</tablecell> 64<tablecell colspan="" rowspan=""> 65<paragraph role="tablecontent" id="par_id3150068" xml-lang="en-US" l10n="U" oldref="68">Less than</paragraph> 66</tablecell> 67</tablerow> 68<tablerow> 69<tablecell colspan="" rowspan=""> 70<paragraph role="tablecontent" id="par_id9464726" xml-lang="en-US" l10n="NEW"> 71<item type="literal"><<</item> or <item type="literal">ll</item> 72</paragraph> 73</tablecell> 74<tablecell colspan="" rowspan=""/> 75<tablecell colspan="" rowspan=""> 76<paragraph role="tablecontent" id="par_id3149922" xml-lang="en-US" l10n="U" oldref="80">Much less than</paragraph> 77</tablecell> 78</tablerow> 79<tablerow> 80<tablecell colspan="" rowspan=""> 81<paragraph role="tablecontent" id="par_idN11059" xml-lang="en-US" l10n="NEW"> 82<item type="literal"><=</item> or <item type="literal">le</item> 83</paragraph> 84</tablecell> 85<tablecell colspan="" rowspan=""> 86<paragraph role="tablecontent" id="par_id3153031" xml-lang="en-US" l10n="E"> 87<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> 88 </image></paragraph> 89</tablecell> 90<tablecell colspan="" rowspan=""> 91<paragraph role="tablecontent" id="par_id3152714" xml-lang="en-US" l10n="U" oldref="76">Less than or equal to</paragraph> 92</tablecell> 93</tablerow> 94<tablerow> 95<tablecell colspan="" rowspan=""> 96<paragraph role="tablecontent" id="par_idN10D00" xml-lang="en-US" l10n="NEW"> 97<item type="literal"><></item> or <item type="literal">neq</item> 98</paragraph> 99</tablecell> 100<tablecell colspan="" rowspan=""> 101<paragraph role="tablecontent" id="par_id3155548" xml-lang="en-US" l10n="E"> 102<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> 103 </image></paragraph> 104</tablecell> 105<tablecell colspan="" rowspan=""> 106<paragraph role="tablecontent" id="par_id3148672" xml-lang="en-US" l10n="U" oldref="32">Not equal</paragraph> 107</tablecell> 108</tablerow> 109<tablerow> 110<tablecell colspan="" rowspan=""> 111<paragraph role="tablecontent" id="par_idN10CBF" xml-lang="en-US" l10n="NEW" localize="false"> 112<item type="literal">=</item> 113</paragraph> 114</tablecell> 115<tablecell colspan="" rowspan=""> 116<paragraph role="tablecontent" id="par_id3150600" xml-lang="en-US" l10n="E"> 117<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> 118 </image></paragraph> 119</tablecell> 120<tablecell colspan="" rowspan=""> 121<paragraph role="tablecontent" id="par_id3155358" xml-lang="en-US" l10n="U" oldref="30">Equation</paragraph> 122</tablecell> 123</tablerow> 124<tablerow> 125<tablecell colspan="" rowspan=""> 126<paragraph role="tablecontent" id="par_idN10E4D" xml-lang="en-US" l10n="NEW"> 127<item type="literal">></item> or <item type="literal">gt</item> 128</paragraph> 129</tablecell> 130<tablecell colspan="" rowspan=""> 131<paragraph role="tablecontent" id="par_id3152978" xml-lang="en-US" l10n="E"> 132<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> 133 </image></paragraph> 134</tablecell> 135<tablecell colspan="" rowspan=""> 136<paragraph role="tablecontent" id="par_id3150515" xml-lang="en-US" l10n="U" oldref="66">Greater than</paragraph> 137</tablecell> 138</tablerow> 139<tablerow> 140<tablecell colspan="" rowspan=""> 141<paragraph role="tablecontent" id="par_idN1109E" xml-lang="en-US" l10n="NEW"> 142<item type="literal">>=</item> or <item type="literal">ge</item> 143</paragraph> 144</tablecell> 145<tablecell colspan="" rowspan=""> 146<paragraph role="tablecontent" id="par_id3152741" xml-lang="en-US" l10n="E"> 147<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> 148 </image></paragraph> 149</tablecell> 150<tablecell colspan="" rowspan=""> 151<paragraph role="tablecontent" id="par_id3150308" xml-lang="en-US" l10n="U" oldref="70">Greater than or equal to</paragraph> 152</tablecell> 153</tablerow> 154<tablerow> 155<tablecell colspan="" rowspan=""> 156<paragraph role="tablecontent" id="par_idN11183" xml-lang="en-US" l10n="NEW"> 157<item type="literal">>></item> or <item type="literal">gg</item> 158</paragraph> 159</tablecell> 160<tablecell colspan="" rowspan=""/> 161<tablecell colspan="" rowspan=""> 162<paragraph role="tablecontent" id="par_id3153863" xml-lang="en-US" l10n="U" oldref="74">Much greater than</paragraph> 163</tablecell> 164</tablerow> 165<tablerow> 166<tablecell colspan="" rowspan=""> 167<paragraph role="tablecontent" id="par_idN10D45" xml-lang="en-US" l10n="NEW" localize="false"> 168<item type="literal">approx</item> 169</paragraph> 170</tablecell> 171<tablecell colspan="" rowspan=""> 172<paragraph role="tablecontent" id="par_id3150840" xml-lang="en-US" l10n="E"> 173<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> 174 </image></paragraph> 175</tablecell> 176<tablecell colspan="" rowspan=""> 177<paragraph role="tablecontent" id="par_id3148622" xml-lang="en-US" l10n="U" oldref="86">Is approximately</paragraph> 178</tablecell> 179</tablerow> 180<tablerow> 181<tablecell colspan="" rowspan=""> 182<paragraph role="tablecontent" id="par_id9866497" xml-lang="en-US" l10n="NEW" localize="false"> 183<item type="literal">def</item> 184</paragraph> 185</tablecell> 186<tablecell colspan="" rowspan=""/> 187<tablecell colspan="" rowspan=""> 188<paragraph role="tablecontent" id="par_id3148502" xml-lang="en-US" l10n="U" oldref="82">is defined as/by definition equal to</paragraph> 189</tablecell> 190</tablerow> 191<tablerow> 192<tablecell colspan="" rowspan=""> 193<paragraph role="tablecontent" id="par_idN10D86" xml-lang="en-US" l10n="NEW" localize="false"> 194<item type="literal">divides</item> 195</paragraph> 196</tablecell> 197<tablecell colspan="" rowspan=""> 198<paragraph role="tablecontent" id="par_id3154050" xml-lang="en-US" l10n="E"> 199<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> 200 </image></paragraph> 201</tablecell> 202<tablecell colspan="" rowspan=""> 203<paragraph role="tablecontent" id="par_id3153749" xml-lang="en-US" l10n="U" oldref="375">divides</paragraph> 204</tablecell> 205</tablerow> 206<tablerow> 207<tablecell colspan="" rowspan=""> 208<paragraph role="tablecontent" id="par_idN11165" xml-lang="en-US" l10n="NEW" localize="false"> 209<item type="literal">dlarrow</item> 210</paragraph> 211</tablecell> 212<tablecell colspan="" rowspan=""> 213<paragraph role="tablecontent" id="par_id3150419" xml-lang="en-US" l10n="E"> 214<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> 215 </image></paragraph> 216</tablecell> 217<tablecell colspan="" rowspan=""> 218<paragraph role="tablecontent" id="par_id3163845" xml-lang="en-US" l10n="U" oldref="383">Arrow with double line to the left</paragraph> 219</tablecell> 220</tablerow> 221<tablerow> 222<tablecell colspan="" rowspan=""> 223<paragraph role="tablecontent" id="par_idN111A6" xml-lang="en-US" l10n="NEW" localize="false"> 224<item type="literal">dlrarrow</item> 225</paragraph> 226</tablecell> 227<tablecell colspan="" rowspan=""> 228<paragraph role="tablecontent" id="par_id3154424" xml-lang="en-US" l10n="E"> 229<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> 230 </image></paragraph> 231</tablecell> 232<tablecell colspan="" rowspan=""> 233<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> 234</tablecell> 235</tablerow> 236<tablerow> 237<tablecell colspan="" rowspan=""> 238<paragraph role="tablecontent" id="par_idN111E7" xml-lang="en-US" l10n="NEW" localize="false"> 239<item type="literal">drarrow</item> 240</paragraph> 241</tablecell> 242<tablecell colspan="" rowspan=""> 243<paragraph role="tablecontent" id="par_id3155410" xml-lang="en-US" l10n="E"> 244<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> 245 </image></paragraph> 246</tablecell> 247<tablecell colspan="" rowspan=""> 248<paragraph role="tablecontent" id="par_id3155291" xml-lang="en-US" l10n="U" oldref="385">Arrow with double line to the right</paragraph> 249</tablecell> 250</tablerow> 251<tablerow> 252<tablecell colspan="" rowspan=""> 253<paragraph role="tablecontent" id="par_idN11018" xml-lang="en-US" l10n="NEW" localize="false"> 254<item type="literal">equiv</item> 255</paragraph> 256</tablecell> 257<tablecell colspan="" rowspan=""> 258<paragraph role="tablecontent" id="par_id3153373" xml-lang="en-US" l10n="E"> 259<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> 260 </image></paragraph> 261</tablecell> 262<tablecell colspan="" rowspan=""> 263<paragraph role="tablecontent" id="par_id3152934" xml-lang="en-US" l10n="U" oldref="84">Is equivalent/congruent to</paragraph> 264</tablecell> 265</tablerow> 266<tablerow> 267<tablecell colspan="" rowspan=""> 268<paragraph role="tablecontent" id="par_idN10F96" xml-lang="en-US" l10n="NEW" localize="false"> 269<item type="literal">geslant</item> 270</paragraph> 271</tablecell> 272<tablecell colspan="" rowspan=""> 273<paragraph role="tablecontent" id="par_id3149139" xml-lang="en-US" l10n="E"> 274<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> 275 </image></paragraph> 276</tablecell> 277<tablecell colspan="" rowspan=""> 278<paragraph role="tablecontent" id="par_id3153616" xml-lang="en-US" l10n="U" oldref="72">Greater than-equal to</paragraph> 279</tablecell> 280</tablerow> 281<tablerow> 282<tablecell colspan="" rowspan=""> 283<paragraph role="tablecontent" id="par_idN10F55" xml-lang="en-US" l10n="NEW" localize="false"> 284<item type="literal">leslant</item> 285</paragraph> 286</tablecell> 287<tablecell colspan="" rowspan=""> 288<paragraph role="tablecontent" id="par_id3153648" xml-lang="en-US" l10n="E"> 289<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> 290 </image></paragraph> 291</tablecell> 292<tablecell colspan="" rowspan=""> 293<paragraph role="tablecontent" id="par_id3153690" xml-lang="en-US" l10n="U" oldref="78">Less than-equal to</paragraph> 294</tablecell> 295</tablerow> 296<tablerow> 297<tablecell colspan="" rowspan=""> 298<paragraph role="tablecontent" id="par_idN10DC7" xml-lang="en-US" l10n="NEW" localize="false"> 299<item type="literal">ndivides</item> 300</paragraph> 301</tablecell> 302<tablecell colspan="" rowspan=""> 303<paragraph role="tablecontent" id="par_id3145098" xml-lang="en-US" l10n="E"> 304<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> 305 </image></paragraph> 306</tablecell> 307<tablecell colspan="" rowspan=""> 308<paragraph role="tablecontent" id="par_id3150374" xml-lang="en-US" l10n="U" oldref="377">does not divide</paragraph> 309</tablecell> 310</tablerow> 311<tablerow> 312<tablecell colspan="" rowspan=""> 313<paragraph role="tablecontent" id="par_idN10F14" xml-lang="en-US" l10n="NEW" localize="false"> 314<item type="literal">ortho</item> 315</paragraph> 316</tablecell> 317<tablecell colspan="" rowspan=""> 318<paragraph role="tablecontent" id="par_id3152809" xml-lang="en-US" l10n="E"> 319<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> 320 </image></paragraph> 321</tablecell> 322<tablecell colspan="" rowspan=""> 323<paragraph role="tablecontent" id="par_id3151063" xml-lang="en-US" l10n="U" oldref="94">Is orthogonal to</paragraph> 324</tablecell> 325</tablerow> 326<tablerow> 327<tablecell colspan="" rowspan=""> 328<paragraph role="tablecontent" id="par_idN10ED3" xml-lang="en-US" l10n="NEW" localize="false"> 329<item type="literal">parallel</item> 330</paragraph> 331</tablecell> 332<tablecell colspan="" rowspan=""> 333<paragraph role="tablecontent" id="par_id3153161" xml-lang="en-US" l10n="E"> 334<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> 335 </image></paragraph> 336</tablecell> 337<tablecell colspan="" rowspan=""> 338<paragraph role="tablecontent" id="par_id3152784" xml-lang="en-US" l10n="U" oldref="96">Is parallel to</paragraph> 339</tablecell> 340</tablerow> 341<tablerow> 342<tablecell colspan="" rowspan=""> 343<paragraph role="tablecontent" id="par_idN110E3" xml-lang="en-US" l10n="NEW" localize="false"> 344<item type="literal">prop</item> 345</paragraph> 346</tablecell> 347<tablecell colspan="" rowspan=""> 348<paragraph role="tablecontent" id="par_id3150336" xml-lang="en-US" l10n="E"> 349<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> 350 </image></paragraph> 351</tablecell> 352<tablecell colspan="" rowspan=""> 353<paragraph role="tablecontent" id="par_id3153930" xml-lang="en-US" l10n="U" oldref="92">Is proportional to</paragraph> 354</tablecell> 355</tablerow> 356<tablerow> 357<tablecell colspan="" rowspan=""> 358<paragraph role="tablecontent" id="par_idN10FD7" xml-lang="en-US" l10n="NEW" localize="false"> 359<item type="literal">sim</item> 360</paragraph> 361</tablecell> 362<tablecell colspan="" rowspan=""> 363<paragraph role="tablecontent" id="par_id3154416" xml-lang="en-US" l10n="E"> 364<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> 365 </image></paragraph> 366</tablecell> 367<tablecell colspan="" rowspan=""> 368<paragraph role="tablecontent" id="par_id3145154" xml-lang="en-US" l10n="U" oldref="88">Is similar to</paragraph> 369</tablecell> 370</tablerow> 371<tablerow> 372<tablecell colspan="" rowspan=""> 373<paragraph role="tablecontent" id="par_idN10E92" xml-lang="en-US" l10n="NEW" localize="false"> 374<item type="literal">simeq</item> 375</paragraph> 376</tablecell> 377<tablecell colspan="" rowspan=""> 378<paragraph role="tablecontent" id="par_id3149265" xml-lang="en-US" l10n="E"> 379<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> 380 </image></paragraph> 381</tablecell> 382<tablecell colspan="" rowspan=""> 383<paragraph role="tablecontent" id="par_id3151346" xml-lang="en-US" l10n="U" oldref="90">Is similar or equal to</paragraph> 384</tablecell> 385</tablerow> 386<tablerow> 387<tablecell colspan="" rowspan=""> 388<paragraph role="tablecontent" id="par_idN11124" xml-lang="en-US" l10n="NEW" localize="false"> 389<item type="literal">toward</item> 390</paragraph> 391</tablecell> 392<tablecell colspan="" rowspan=""> 393<paragraph role="tablecontent" id="par_id3153957" xml-lang="en-US" l10n="E"> 394<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> 395 </image></paragraph> 396</tablecell> 397<tablecell colspan="" rowspan=""> 398<paragraph role="tablecontent" id="par_id3155844" xml-lang="en-US" l10n="U" oldref="134">Toward</paragraph> 399</tablecell> 400</tablerow> 401<tablerow> 402<tablecell colspan="" rowspan=""> 403<paragraph role="tablecontent" id="par_id4814489" xml-lang="en-US" l10n="NEW" localize="false"> 404<item type="literal">transl</item> 405</paragraph> 406</tablecell> 407<tablecell colspan="" rowspan=""/> 408<tablecell colspan="" rowspan=""> 409<paragraph role="tablecontent" id="par_id3152853" xml-lang="en-US" l10n="U" oldref="98">Correspondence symbol image of</paragraph> 410</tablecell> 411</tablerow> 412<tablerow> 413<tablecell colspan="" rowspan=""> 414<paragraph role="tablecontent" id="par_id3677758" xml-lang="en-US" l10n="NEW" localize="false"> 415<item type="literal">transr</item> 416</paragraph> 417</tablecell> 418<tablecell colspan="" rowspan=""/> 419<tablecell colspan="" rowspan=""> 420<paragraph role="tablecontent" id="par_id3157974" xml-lang="en-US" l10n="U" oldref="100">Correspondence symbol original of</paragraph> 421</tablecell> 422</tablerow> 423</table> 424<section id="relatedtopics"> 425<embed href="text/smath/01/03090200.xhp#relationen"/> 426<embed href="text/smath/01/03091500.xhp#reference"/> 427</section> 428</body> 429</helpdocument> 430
