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"> 33<bookmark_value>relations operators;list of</bookmark_value> 34</bookmark> 35<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> 36</variable></paragraph> 37<table id="tbl_id3150676" class="list"> 38<tablerow> 39<tablecell colspan="" rowspan=""> 40<paragraph role="tablehead" id="par_idN10C98" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 41</tablecell> 42<tablecell colspan="" rowspan=""> 43<paragraph role="tablehead" id="par_id3154032" xml-lang="en-US" l10n="U">Symbol in Elements Window</paragraph> 44</tablecell> 45<tablecell colspan="" rowspan=""> 46<paragraph role="tablehead" id="par_id3147272" xml-lang="en-US" l10n="U">Meaning</paragraph> 47</tablecell> 48</tablerow> 49<tablerow> 50<tablecell colspan="" rowspan=""> 51<paragraph role="tablecontent" id="par_idN10E08" xml-lang="en-US" l10n="NEW"> 52<item type="literal"><</item> or <item type="literal">lt</item> 53</paragraph> 54</tablecell> 55<tablecell colspan="" rowspan=""> 56<paragraph role="tablecontent" id="par_id3156247" xml-lang="en-US" l10n="E"> 57<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> 58</image></paragraph> 59</tablecell> 60<tablecell colspan="" rowspan=""> 61<paragraph role="tablecontent" id="par_id3150068" xml-lang="en-US" l10n="U">Less than</paragraph> 62</tablecell> 63</tablerow> 64<tablerow> 65<tablecell colspan="" rowspan=""> 66<paragraph role="tablecontent" id="par_id9464726" xml-lang="en-US" l10n="NEW"> 67<item type="literal"><<</item> or <item type="literal">ll</item> 68</paragraph> 69</tablecell> 70<tablecell colspan="" rowspan=""/> 71<tablecell colspan="" rowspan=""> 72<paragraph role="tablecontent" id="par_id3149922" xml-lang="en-US" l10n="U">Much less than</paragraph> 73</tablecell> 74</tablerow> 75<tablerow> 76<tablecell colspan="" rowspan=""> 77<paragraph role="tablecontent" id="par_idN11059" xml-lang="en-US" l10n="NEW"> 78<item type="literal"><=</item> or <item type="literal">le</item> 79</paragraph> 80</tablecell> 81<tablecell colspan="" rowspan=""> 82<paragraph role="tablecontent" id="par_id3153031" xml-lang="en-US" l10n="E"> 83<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> 84</image></paragraph> 85</tablecell> 86<tablecell colspan="" rowspan=""> 87<paragraph role="tablecontent" id="par_id3152714" xml-lang="en-US" l10n="U">Less than or equal to</paragraph> 88</tablecell> 89</tablerow> 90<tablerow> 91<tablecell colspan="" rowspan=""> 92<paragraph role="tablecontent" id="par_idN10D00" xml-lang="en-US" l10n="NEW"> 93<item type="literal"><></item> or <item type="literal">neq</item> 94</paragraph> 95</tablecell> 96<tablecell colspan="" rowspan=""> 97<paragraph role="tablecontent" id="par_id3155548" xml-lang="en-US" l10n="E"> 98<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> 99</image></paragraph> 100</tablecell> 101<tablecell colspan="" rowspan=""> 102<paragraph role="tablecontent" id="par_id3148672" xml-lang="en-US" l10n="U">Not equal</paragraph> 103</tablecell> 104</tablerow> 105<tablerow> 106<tablecell colspan="" rowspan=""> 107<paragraph role="tablecontent" id="par_idN10CBF" xml-lang="en-US" l10n="NEW" localize="false"> 108<item type="literal">=</item> 109</paragraph> 110</tablecell> 111<tablecell colspan="" rowspan=""> 112<paragraph role="tablecontent" id="par_id3150600" xml-lang="en-US" l10n="E"> 113<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> 114</image></paragraph> 115</tablecell> 116<tablecell colspan="" rowspan=""> 117<paragraph role="tablecontent" id="par_id3155358" xml-lang="en-US" l10n="U">Equation</paragraph> 118</tablecell> 119</tablerow> 120<tablerow> 121<tablecell colspan="" rowspan=""> 122<paragraph role="tablecontent" id="par_idN10E4D" xml-lang="en-US" l10n="NEW"> 123<item type="literal">></item> or <item type="literal">gt</item> 124</paragraph> 125</tablecell> 126<tablecell colspan="" rowspan=""> 127<paragraph role="tablecontent" id="par_id3152978" xml-lang="en-US" l10n="E"> 128<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> 129</image></paragraph> 130</tablecell> 131<tablecell colspan="" rowspan=""> 132<paragraph role="tablecontent" id="par_id3150515" xml-lang="en-US" l10n="U">Greater than</paragraph> 133</tablecell> 134</tablerow> 135<tablerow> 136<tablecell colspan="" rowspan=""> 137<paragraph role="tablecontent" id="par_idN1109E" xml-lang="en-US" l10n="NEW"> 138<item type="literal">>=</item> or <item type="literal">ge</item> 139</paragraph> 140</tablecell> 141<tablecell colspan="" rowspan=""> 142<paragraph role="tablecontent" id="par_id3152741" xml-lang="en-US" l10n="E"> 143<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> 144</image></paragraph> 145</tablecell> 146<tablecell colspan="" rowspan=""> 147<paragraph role="tablecontent" id="par_id3150308" xml-lang="en-US" l10n="U">Greater than or equal to</paragraph> 148</tablecell> 149</tablerow> 150<tablerow> 151<tablecell colspan="" rowspan=""> 152<paragraph role="tablecontent" id="par_idN11183" xml-lang="en-US" l10n="NEW"> 153<item type="literal">>></item> or <item type="literal">gg</item> 154</paragraph> 155</tablecell> 156<tablecell colspan="" rowspan=""/> 157<tablecell colspan="" rowspan=""> 158<paragraph role="tablecontent" id="par_id3153863" xml-lang="en-US" l10n="U">Much greater than</paragraph> 159</tablecell> 160</tablerow> 161<tablerow> 162<tablecell colspan="" rowspan=""> 163<paragraph role="tablecontent" id="par_idN10D45" xml-lang="en-US" l10n="NEW" localize="false"> 164<item type="literal">approx</item> 165</paragraph> 166</tablecell> 167<tablecell colspan="" rowspan=""> 168<paragraph role="tablecontent" id="par_id3150840" xml-lang="en-US" l10n="E"> 169<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> 170</image></paragraph> 171</tablecell> 172<tablecell colspan="" rowspan=""> 173<paragraph role="tablecontent" id="par_id3148622" xml-lang="en-US" l10n="U">Is approximately</paragraph> 174</tablecell> 175</tablerow> 176<tablerow> 177<tablecell colspan="" rowspan=""> 178<paragraph role="tablecontent" id="par_id9866497" xml-lang="en-US" l10n="NEW" localize="false"> 179<item type="literal">def</item> 180</paragraph> 181</tablecell> 182<tablecell colspan="" rowspan=""/> 183<tablecell colspan="" rowspan=""> 184<paragraph role="tablecontent" id="par_id3148502" xml-lang="en-US" l10n="U">is defined as/by definition equal to</paragraph> 185</tablecell> 186</tablerow> 187<tablerow> 188<tablecell colspan="" rowspan=""> 189<paragraph role="tablecontent" id="par_idN10D86" xml-lang="en-US" l10n="NEW" localize="false"> 190<item type="literal">divides</item> 191</paragraph> 192</tablecell> 193<tablecell colspan="" rowspan=""> 194<paragraph role="tablecontent" id="par_id3154050" xml-lang="en-US" l10n="E"> 195<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> 196</image></paragraph> 197</tablecell> 198<tablecell colspan="" rowspan=""> 199<paragraph role="tablecontent" id="par_id3153749" xml-lang="en-US" l10n="U">divides</paragraph> 200</tablecell> 201</tablerow> 202<tablerow> 203<tablecell colspan="" rowspan=""> 204<paragraph role="tablecontent" id="par_idN11165" xml-lang="en-US" l10n="NEW" localize="false"> 205<item type="literal">dlarrow</item> 206</paragraph> 207</tablecell> 208<tablecell colspan="" rowspan=""> 209<paragraph role="tablecontent" id="par_id3150419" xml-lang="en-US" l10n="E"> 210<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> 211</image></paragraph> 212</tablecell> 213<tablecell colspan="" rowspan=""> 214<paragraph role="tablecontent" id="par_id3163845" xml-lang="en-US" l10n="U">Arrow with double line to the left</paragraph> 215</tablecell> 216</tablerow> 217<tablerow> 218<tablecell colspan="" rowspan=""> 219<paragraph role="tablecontent" id="par_idN111A6" xml-lang="en-US" l10n="NEW" localize="false"> 220<item type="literal">dlrarrow</item> 221</paragraph> 222</tablecell> 223<tablecell colspan="" rowspan=""> 224<paragraph role="tablecontent" id="par_id3154424" xml-lang="en-US" l10n="E"> 225<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> 226</image></paragraph> 227</tablecell> 228<tablecell colspan="" rowspan=""> 229<paragraph role="tablecontent" id="par_id3156166" xml-lang="en-US" l10n="U">Arrow with double line to the left and the right</paragraph> 230</tablecell> 231</tablerow> 232<tablerow> 233<tablecell colspan="" rowspan=""> 234<paragraph role="tablecontent" id="par_idN111E7" xml-lang="en-US" l10n="NEW" localize="false"> 235<item type="literal">drarrow</item> 236</paragraph> 237</tablecell> 238<tablecell colspan="" rowspan=""> 239<paragraph role="tablecontent" id="par_id3155410" xml-lang="en-US" l10n="E"> 240<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> 241</image></paragraph> 242</tablecell> 243<tablecell colspan="" rowspan=""> 244<paragraph role="tablecontent" id="par_id3155291" xml-lang="en-US" l10n="U">Arrow with double line to the right</paragraph> 245</tablecell> 246</tablerow> 247<tablerow> 248<tablecell colspan="" rowspan=""> 249<paragraph role="tablecontent" id="par_idN11018" xml-lang="en-US" l10n="NEW" localize="false"> 250<item type="literal">equiv</item> 251</paragraph> 252</tablecell> 253<tablecell colspan="" rowspan=""> 254<paragraph role="tablecontent" id="par_id3153373" xml-lang="en-US" l10n="E"> 255<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> 256</image></paragraph> 257</tablecell> 258<tablecell colspan="" rowspan=""> 259<paragraph role="tablecontent" id="par_id3152934" xml-lang="en-US" l10n="U">Is equivalent/congruent to</paragraph> 260</tablecell> 261</tablerow> 262<tablerow> 263<tablecell colspan="" rowspan=""> 264<paragraph role="tablecontent" id="par_idN10F96" xml-lang="en-US" l10n="NEW" localize="false"> 265<item type="literal">geslant</item> 266</paragraph> 267</tablecell> 268<tablecell colspan="" rowspan=""> 269<paragraph role="tablecontent" id="par_id3149139" xml-lang="en-US" l10n="E"> 270<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> 271</image></paragraph> 272</tablecell> 273<tablecell colspan="" rowspan=""> 274<paragraph role="tablecontent" id="par_id3153616" xml-lang="en-US" l10n="U">Greater than-equal to</paragraph> 275</tablecell> 276</tablerow> 277<tablerow> 278<tablecell colspan="" rowspan=""> 279<paragraph role="tablecontent" id="par_idN10F55" xml-lang="en-US" l10n="NEW" localize="false"> 280<item type="literal">leslant</item> 281</paragraph> 282</tablecell> 283<tablecell colspan="" rowspan=""> 284<paragraph role="tablecontent" id="par_id3153648" xml-lang="en-US" l10n="E"> 285<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> 286</image></paragraph> 287</tablecell> 288<tablecell colspan="" rowspan=""> 289<paragraph role="tablecontent" id="par_id3153690" xml-lang="en-US" l10n="U">Less than-equal to</paragraph> 290</tablecell> 291</tablerow> 292<tablerow> 293<tablecell colspan="" rowspan=""> 294<paragraph role="tablecontent" id="par_idN10DC7" xml-lang="en-US" l10n="NEW" localize="false"> 295<item type="literal">ndivides</item> 296</paragraph> 297</tablecell> 298<tablecell colspan="" rowspan=""> 299<paragraph role="tablecontent" id="par_id3145098" xml-lang="en-US" l10n="E"> 300<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> 301</image></paragraph> 302</tablecell> 303<tablecell colspan="" rowspan=""> 304<paragraph role="tablecontent" id="par_id3150374" xml-lang="en-US" l10n="U">does not divide</paragraph> 305</tablecell> 306</tablerow> 307<tablerow> 308<tablecell colspan="" rowspan=""> 309<paragraph role="tablecontent" id="par_idN10F14" xml-lang="en-US" l10n="NEW" localize="false"> 310<item type="literal">ortho</item> 311</paragraph> 312</tablecell> 313<tablecell colspan="" rowspan=""> 314<paragraph role="tablecontent" id="par_id3152809" xml-lang="en-US" l10n="E"> 315<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> 316</image></paragraph> 317</tablecell> 318<tablecell colspan="" rowspan=""> 319<paragraph role="tablecontent" id="par_id3151063" xml-lang="en-US" l10n="U">Is orthogonal to</paragraph> 320</tablecell> 321</tablerow> 322<tablerow> 323<tablecell colspan="" rowspan=""> 324<paragraph role="tablecontent" id="par_idN10ED3" xml-lang="en-US" l10n="NEW" localize="false"> 325<item type="literal">parallel</item> 326</paragraph> 327</tablecell> 328<tablecell colspan="" rowspan=""> 329<paragraph role="tablecontent" id="par_id3153161" xml-lang="en-US" l10n="E"> 330<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> 331</image></paragraph> 332</tablecell> 333<tablecell colspan="" rowspan=""> 334<paragraph role="tablecontent" id="par_id3152784" xml-lang="en-US" l10n="U">Is parallel to</paragraph> 335</tablecell> 336</tablerow> 337<tablerow> 338<tablecell colspan="" rowspan=""> 339<paragraph role="tablecontent" id="par_idN110E3" xml-lang="en-US" l10n="NEW" localize="false"> 340<item type="literal">prop</item> 341</paragraph> 342</tablecell> 343<tablecell colspan="" rowspan=""> 344<paragraph role="tablecontent" id="par_id3150336" xml-lang="en-US" l10n="E"> 345<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> 346</image></paragraph> 347</tablecell> 348<tablecell colspan="" rowspan=""> 349<paragraph role="tablecontent" id="par_id3153930" xml-lang="en-US" l10n="U">Is proportional to</paragraph> 350</tablecell> 351</tablerow> 352<tablerow> 353<tablecell colspan="" rowspan=""> 354<paragraph role="tablecontent" id="par_idN10FD7" xml-lang="en-US" l10n="NEW" localize="false"> 355<item type="literal">sim</item> 356</paragraph> 357</tablecell> 358<tablecell colspan="" rowspan=""> 359<paragraph role="tablecontent" id="par_id3154416" xml-lang="en-US" l10n="E"> 360<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> 361</image></paragraph> 362</tablecell> 363<tablecell colspan="" rowspan=""> 364<paragraph role="tablecontent" id="par_id3145154" xml-lang="en-US" l10n="U">Is similar to</paragraph> 365</tablecell> 366</tablerow> 367<tablerow> 368<tablecell colspan="" rowspan=""> 369<paragraph role="tablecontent" id="par_idN10E92" xml-lang="en-US" l10n="NEW" localize="false"> 370<item type="literal">simeq</item> 371</paragraph> 372</tablecell> 373<tablecell colspan="" rowspan=""> 374<paragraph role="tablecontent" id="par_id3149265" xml-lang="en-US" l10n="E"> 375<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> 376</image></paragraph> 377</tablecell> 378<tablecell colspan="" rowspan=""> 379<paragraph role="tablecontent" id="par_id3151346" xml-lang="en-US" l10n="U">Is similar or equal to</paragraph> 380</tablecell> 381</tablerow> 382<tablerow> 383<tablecell colspan="" rowspan=""> 384<paragraph role="tablecontent" id="par_idN11124" xml-lang="en-US" l10n="NEW" localize="false"> 385<item type="literal">toward</item> 386</paragraph> 387</tablecell> 388<tablecell colspan="" rowspan=""> 389<paragraph role="tablecontent" id="par_id3153957" xml-lang="en-US" l10n="E"> 390<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> 391</image></paragraph> 392</tablecell> 393<tablecell colspan="" rowspan=""> 394<paragraph role="tablecontent" id="par_id3155844" xml-lang="en-US" l10n="U">Toward</paragraph> 395</tablecell> 396</tablerow> 397<tablerow> 398<tablecell colspan="" rowspan=""> 399<paragraph role="tablecontent" id="par_id4814489" xml-lang="en-US" l10n="NEW" localize="false"> 400<item type="literal">transl</item> 401</paragraph> 402</tablecell> 403<tablecell colspan="" rowspan=""/> 404<tablecell colspan="" rowspan=""> 405<paragraph role="tablecontent" id="par_id3152853" xml-lang="en-US" l10n="U">Correspondence symbol image of</paragraph> 406</tablecell> 407</tablerow> 408<tablerow> 409<tablecell colspan="" rowspan=""> 410<paragraph role="tablecontent" id="par_id3677758" xml-lang="en-US" l10n="NEW" localize="false"> 411<item type="literal">transr</item> 412</paragraph> 413</tablecell> 414<tablecell colspan="" rowspan=""/> 415<tablecell colspan="" rowspan=""> 416<paragraph role="tablecontent" id="par_id3157974" xml-lang="en-US" l10n="U">Correspondence symbol original of</paragraph> 417</tablecell> 418</tablerow> 419</table> 420<section id="relatedtopics"> 421<embed href="text/smath/01/03090200.xhp#relationen"/> 422<embed href="text/smath/01/03091500.xhp#reference"/> 423</section> 424</body> 425</helpdocument> 426
