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If not, see 28 * <http://www.openoffice.org/license.html> 29 * for a copy of the LGPLv3 License. 30 * 31 ************************************************************************ 32 --> 33 34 35 <helpdocument version="1.0"> 36<meta> 37<topic id="textsmath0103091502xml" indexer="include" status="PUBLISH"> 38<title id="tit" xml-lang="en-US">Relations</title> 39<filename>/text/smath/01/03091502.xhp</filename> 40</topic> 41</meta> 42<body> 43<bookmark xml-lang="en-US" branch="index" id="bm_id3149650"><bookmark_value>relations operators;list of</bookmark_value> 44</bookmark> 45<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> 46</variable></paragraph> 47<table id="tbl_id3150676" class="list"> 48<tablerow> 49<tablecell colspan="" rowspan=""> 50<paragraph role="tablehead" id="par_idN10C98" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 51</tablecell> 52<tablecell colspan="" rowspan=""> 53<paragraph role="tablehead" id="par_id3154032" xml-lang="en-US" l10n="U" oldref="475">Symbol in Elements Window</paragraph> 54</tablecell> 55<tablecell colspan="" rowspan=""> 56<paragraph role="tablehead" id="par_id3147272" xml-lang="en-US" l10n="U" oldref="477">Meaning</paragraph> 57</tablecell> 58</tablerow> 59<tablerow> 60<tablecell colspan="" rowspan=""> 61<paragraph role="tablecontent" id="par_idN10E08" xml-lang="en-US" l10n="NEW"> 62<item type="literal"><</item> or <item type="literal">lt</item> 63</paragraph> 64</tablecell> 65<tablecell colspan="" rowspan=""> 66<paragraph role="tablecontent" id="par_id3156247" xml-lang="en-US" l10n="E"> 67<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> 68 </image></paragraph> 69</tablecell> 70<tablecell colspan="" rowspan=""> 71<paragraph role="tablecontent" id="par_id3150068" xml-lang="en-US" l10n="U" oldref="68">Less than</paragraph> 72</tablecell> 73</tablerow> 74<tablerow> 75<tablecell colspan="" rowspan=""> 76<paragraph role="tablecontent" id="par_id9464726" xml-lang="en-US" l10n="NEW"> 77<item type="literal"><<</item> or <item type="literal">ll</item> 78</paragraph> 79</tablecell> 80<tablecell colspan="" rowspan=""/> 81<tablecell colspan="" rowspan=""> 82<paragraph role="tablecontent" id="par_id3149922" xml-lang="en-US" l10n="U" oldref="80">Much less than</paragraph> 83</tablecell> 84</tablerow> 85<tablerow> 86<tablecell colspan="" rowspan=""> 87<paragraph role="tablecontent" id="par_idN11059" xml-lang="en-US" l10n="NEW"> 88<item type="literal"><=</item> or <item type="literal">le</item> 89</paragraph> 90</tablecell> 91<tablecell colspan="" rowspan=""> 92<paragraph role="tablecontent" id="par_id3153031" xml-lang="en-US" l10n="E"> 93<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> 94 </image></paragraph> 95</tablecell> 96<tablecell colspan="" rowspan=""> 97<paragraph role="tablecontent" id="par_id3152714" xml-lang="en-US" l10n="U" oldref="76">Less than or equal to</paragraph> 98</tablecell> 99</tablerow> 100<tablerow> 101<tablecell colspan="" rowspan=""> 102<paragraph role="tablecontent" id="par_idN10D00" xml-lang="en-US" l10n="NEW"> 103<item type="literal"><></item> or <item type="literal">neq</item> 104</paragraph> 105</tablecell> 106<tablecell colspan="" rowspan=""> 107<paragraph role="tablecontent" id="par_id3155548" xml-lang="en-US" l10n="E"> 108<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> 109 </image></paragraph> 110</tablecell> 111<tablecell colspan="" rowspan=""> 112<paragraph role="tablecontent" id="par_id3148672" xml-lang="en-US" l10n="U" oldref="32">Not equal</paragraph> 113</tablecell> 114</tablerow> 115<tablerow> 116<tablecell colspan="" rowspan=""> 117<paragraph role="tablecontent" id="par_idN10CBF" xml-lang="en-US" l10n="NEW" localize="false"> 118<item type="literal">=</item> 119</paragraph> 120</tablecell> 121<tablecell colspan="" rowspan=""> 122<paragraph role="tablecontent" id="par_id3150600" xml-lang="en-US" l10n="E"> 123<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> 124 </image></paragraph> 125</tablecell> 126<tablecell colspan="" rowspan=""> 127<paragraph role="tablecontent" id="par_id3155358" xml-lang="en-US" l10n="U" oldref="30">Equation</paragraph> 128</tablecell> 129</tablerow> 130<tablerow> 131<tablecell colspan="" rowspan=""> 132<paragraph role="tablecontent" id="par_idN10E4D" xml-lang="en-US" l10n="NEW"> 133<item type="literal">></item> or <item type="literal">gt</item> 134</paragraph> 135</tablecell> 136<tablecell colspan="" rowspan=""> 137<paragraph role="tablecontent" id="par_id3152978" xml-lang="en-US" l10n="E"> 138<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> 139 </image></paragraph> 140</tablecell> 141<tablecell colspan="" rowspan=""> 142<paragraph role="tablecontent" id="par_id3150515" xml-lang="en-US" l10n="U" oldref="66">Greater than</paragraph> 143</tablecell> 144</tablerow> 145<tablerow> 146<tablecell colspan="" rowspan=""> 147<paragraph role="tablecontent" id="par_idN1109E" xml-lang="en-US" l10n="NEW"> 148<item type="literal">>=</item> or <item type="literal">ge</item> 149</paragraph> 150</tablecell> 151<tablecell colspan="" rowspan=""> 152<paragraph role="tablecontent" id="par_id3152741" xml-lang="en-US" l10n="E"> 153<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> 154 </image></paragraph> 155</tablecell> 156<tablecell colspan="" rowspan=""> 157<paragraph role="tablecontent" id="par_id3150308" xml-lang="en-US" l10n="U" oldref="70">Greater than or equal to</paragraph> 158</tablecell> 159</tablerow> 160<tablerow> 161<tablecell colspan="" rowspan=""> 162<paragraph role="tablecontent" id="par_idN11183" xml-lang="en-US" l10n="NEW"> 163<item type="literal">>></item> or <item type="literal">gg</item> 164</paragraph> 165</tablecell> 166<tablecell colspan="" rowspan=""/> 167<tablecell colspan="" rowspan=""> 168<paragraph role="tablecontent" id="par_id3153863" xml-lang="en-US" l10n="U" oldref="74">Much greater than</paragraph> 169</tablecell> 170</tablerow> 171<tablerow> 172<tablecell colspan="" rowspan=""> 173<paragraph role="tablecontent" id="par_idN10D45" xml-lang="en-US" l10n="NEW" localize="false"> 174<item type="literal">approx</item> 175</paragraph> 176</tablecell> 177<tablecell colspan="" rowspan=""> 178<paragraph role="tablecontent" id="par_id3150840" xml-lang="en-US" l10n="E"> 179<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> 180 </image></paragraph> 181</tablecell> 182<tablecell colspan="" rowspan=""> 183<paragraph role="tablecontent" id="par_id3148622" xml-lang="en-US" l10n="U" oldref="86">Is approximately</paragraph> 184</tablecell> 185</tablerow> 186<tablerow> 187<tablecell colspan="" rowspan=""> 188<paragraph role="tablecontent" id="par_id9866497" xml-lang="en-US" l10n="NEW" localize="false"> 189<item type="literal">def</item> 190</paragraph> 191</tablecell> 192<tablecell colspan="" rowspan=""/> 193<tablecell colspan="" rowspan=""> 194<paragraph role="tablecontent" id="par_id3148502" xml-lang="en-US" l10n="U" oldref="82">is defined as/by definition equal to</paragraph> 195</tablecell> 196</tablerow> 197<tablerow> 198<tablecell colspan="" rowspan=""> 199<paragraph role="tablecontent" id="par_idN10D86" xml-lang="en-US" l10n="NEW" localize="false"> 200<item type="literal">divides</item> 201</paragraph> 202</tablecell> 203<tablecell colspan="" rowspan=""> 204<paragraph role="tablecontent" id="par_id3154050" xml-lang="en-US" l10n="E"> 205<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> 206 </image></paragraph> 207</tablecell> 208<tablecell colspan="" rowspan=""> 209<paragraph role="tablecontent" id="par_id3153749" xml-lang="en-US" l10n="U" oldref="375">divides</paragraph> 210</tablecell> 211</tablerow> 212<tablerow> 213<tablecell colspan="" rowspan=""> 214<paragraph role="tablecontent" id="par_idN11165" xml-lang="en-US" l10n="NEW" localize="false"> 215<item type="literal">dlarrow</item> 216</paragraph> 217</tablecell> 218<tablecell colspan="" rowspan=""> 219<paragraph role="tablecontent" id="par_id3150419" xml-lang="en-US" l10n="E"> 220<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> 221 </image></paragraph> 222</tablecell> 223<tablecell colspan="" rowspan=""> 224<paragraph role="tablecontent" id="par_id3163845" xml-lang="en-US" l10n="U" oldref="383">Arrow with double line to the left</paragraph> 225</tablecell> 226</tablerow> 227<tablerow> 228<tablecell colspan="" rowspan=""> 229<paragraph role="tablecontent" id="par_idN111A6" xml-lang="en-US" l10n="NEW" localize="false"> 230<item type="literal">dlrarrow</item> 231</paragraph> 232</tablecell> 233<tablecell colspan="" rowspan=""> 234<paragraph role="tablecontent" id="par_id3154424" xml-lang="en-US" l10n="E"> 235<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> 236 </image></paragraph> 237</tablecell> 238<tablecell colspan="" rowspan=""> 239<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> 240</tablecell> 241</tablerow> 242<tablerow> 243<tablecell colspan="" rowspan=""> 244<paragraph role="tablecontent" id="par_idN111E7" xml-lang="en-US" l10n="NEW" localize="false"> 245<item type="literal">drarrow</item> 246</paragraph> 247</tablecell> 248<tablecell colspan="" rowspan=""> 249<paragraph role="tablecontent" id="par_id3155410" xml-lang="en-US" l10n="E"> 250<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> 251 </image></paragraph> 252</tablecell> 253<tablecell colspan="" rowspan=""> 254<paragraph role="tablecontent" id="par_id3155291" xml-lang="en-US" l10n="U" oldref="385">Arrow with double line to the right</paragraph> 255</tablecell> 256</tablerow> 257<tablerow> 258<tablecell colspan="" rowspan=""> 259<paragraph role="tablecontent" id="par_idN11018" xml-lang="en-US" l10n="NEW" localize="false"> 260<item type="literal">equiv</item> 261</paragraph> 262</tablecell> 263<tablecell colspan="" rowspan=""> 264<paragraph role="tablecontent" id="par_id3153373" xml-lang="en-US" l10n="E"> 265<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> 266 </image></paragraph> 267</tablecell> 268<tablecell colspan="" rowspan=""> 269<paragraph role="tablecontent" id="par_id3152934" xml-lang="en-US" l10n="U" oldref="84">Is equivalent/congruent to</paragraph> 270</tablecell> 271</tablerow> 272<tablerow> 273<tablecell colspan="" rowspan=""> 274<paragraph role="tablecontent" id="par_idN10F96" xml-lang="en-US" l10n="NEW" localize="false"> 275<item type="literal">geslant</item> 276</paragraph> 277</tablecell> 278<tablecell colspan="" rowspan=""> 279<paragraph role="tablecontent" id="par_id3149139" xml-lang="en-US" l10n="E"> 280<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> 281 </image></paragraph> 282</tablecell> 283<tablecell colspan="" rowspan=""> 284<paragraph role="tablecontent" id="par_id3153616" xml-lang="en-US" l10n="U" oldref="72">Greater than-equal to</paragraph> 285</tablecell> 286</tablerow> 287<tablerow> 288<tablecell colspan="" rowspan=""> 289<paragraph role="tablecontent" id="par_idN10F55" xml-lang="en-US" l10n="NEW" localize="false"> 290<item type="literal">leslant</item> 291</paragraph> 292</tablecell> 293<tablecell colspan="" rowspan=""> 294<paragraph role="tablecontent" id="par_id3153648" xml-lang="en-US" l10n="E"> 295<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> 296 </image></paragraph> 297</tablecell> 298<tablecell colspan="" rowspan=""> 299<paragraph role="tablecontent" id="par_id3153690" xml-lang="en-US" l10n="U" oldref="78">Less than-equal to</paragraph> 300</tablecell> 301</tablerow> 302<tablerow> 303<tablecell colspan="" rowspan=""> 304<paragraph role="tablecontent" id="par_idN10DC7" xml-lang="en-US" l10n="NEW" localize="false"> 305<item type="literal">ndivides</item> 306</paragraph> 307</tablecell> 308<tablecell colspan="" rowspan=""> 309<paragraph role="tablecontent" id="par_id3145098" xml-lang="en-US" l10n="E"> 310<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> 311 </image></paragraph> 312</tablecell> 313<tablecell colspan="" rowspan=""> 314<paragraph role="tablecontent" id="par_id3150374" xml-lang="en-US" l10n="U" oldref="377">does not divide</paragraph> 315</tablecell> 316</tablerow> 317<tablerow> 318<tablecell colspan="" rowspan=""> 319<paragraph role="tablecontent" id="par_idN10F14" xml-lang="en-US" l10n="NEW" localize="false"> 320<item type="literal">ortho</item> 321</paragraph> 322</tablecell> 323<tablecell colspan="" rowspan=""> 324<paragraph role="tablecontent" id="par_id3152809" xml-lang="en-US" l10n="E"> 325<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> 326 </image></paragraph> 327</tablecell> 328<tablecell colspan="" rowspan=""> 329<paragraph role="tablecontent" id="par_id3151063" xml-lang="en-US" l10n="U" oldref="94">Is orthogonal to</paragraph> 330</tablecell> 331</tablerow> 332<tablerow> 333<tablecell colspan="" rowspan=""> 334<paragraph role="tablecontent" id="par_idN10ED3" xml-lang="en-US" l10n="NEW" localize="false"> 335<item type="literal">parallel</item> 336</paragraph> 337</tablecell> 338<tablecell colspan="" rowspan=""> 339<paragraph role="tablecontent" id="par_id3153161" xml-lang="en-US" l10n="E"> 340<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> 341 </image></paragraph> 342</tablecell> 343<tablecell colspan="" rowspan=""> 344<paragraph role="tablecontent" id="par_id3152784" xml-lang="en-US" l10n="U" oldref="96">Is parallel to</paragraph> 345</tablecell> 346</tablerow> 347<tablerow> 348<tablecell colspan="" rowspan=""> 349<paragraph role="tablecontent" id="par_idN110E3" xml-lang="en-US" l10n="NEW" localize="false"> 350<item type="literal">prop</item> 351</paragraph> 352</tablecell> 353<tablecell colspan="" rowspan=""> 354<paragraph role="tablecontent" id="par_id3150336" xml-lang="en-US" l10n="E"> 355<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> 356 </image></paragraph> 357</tablecell> 358<tablecell colspan="" rowspan=""> 359<paragraph role="tablecontent" id="par_id3153930" xml-lang="en-US" l10n="U" oldref="92">Is proportional to</paragraph> 360</tablecell> 361</tablerow> 362<tablerow> 363<tablecell colspan="" rowspan=""> 364<paragraph role="tablecontent" id="par_idN10FD7" xml-lang="en-US" l10n="NEW" localize="false"> 365<item type="literal">sim</item> 366</paragraph> 367</tablecell> 368<tablecell colspan="" rowspan=""> 369<paragraph role="tablecontent" id="par_id3154416" xml-lang="en-US" l10n="E"> 370<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> 371 </image></paragraph> 372</tablecell> 373<tablecell colspan="" rowspan=""> 374<paragraph role="tablecontent" id="par_id3145154" xml-lang="en-US" l10n="U" oldref="88">Is similar to</paragraph> 375</tablecell> 376</tablerow> 377<tablerow> 378<tablecell colspan="" rowspan=""> 379<paragraph role="tablecontent" id="par_idN10E92" xml-lang="en-US" l10n="NEW" localize="false"> 380<item type="literal">simeq</item> 381</paragraph> 382</tablecell> 383<tablecell colspan="" rowspan=""> 384<paragraph role="tablecontent" id="par_id3149265" xml-lang="en-US" l10n="E"> 385<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> 386 </image></paragraph> 387</tablecell> 388<tablecell colspan="" rowspan=""> 389<paragraph role="tablecontent" id="par_id3151346" xml-lang="en-US" l10n="U" oldref="90">Is similar or equal to</paragraph> 390</tablecell> 391</tablerow> 392<tablerow> 393<tablecell colspan="" rowspan=""> 394<paragraph role="tablecontent" id="par_idN11124" xml-lang="en-US" l10n="NEW" localize="false"> 395<item type="literal">toward</item> 396</paragraph> 397</tablecell> 398<tablecell colspan="" rowspan=""> 399<paragraph role="tablecontent" id="par_id3153957" xml-lang="en-US" l10n="E"> 400<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> 401 </image></paragraph> 402</tablecell> 403<tablecell colspan="" rowspan=""> 404<paragraph role="tablecontent" id="par_id3155844" xml-lang="en-US" l10n="U" oldref="134">Toward</paragraph> 405</tablecell> 406</tablerow> 407<tablerow> 408<tablecell colspan="" rowspan=""> 409<paragraph role="tablecontent" id="par_id4814489" xml-lang="en-US" l10n="NEW" localize="false"> 410<item type="literal">transl</item> 411</paragraph> 412</tablecell> 413<tablecell colspan="" rowspan=""/> 414<tablecell colspan="" rowspan=""> 415<paragraph role="tablecontent" id="par_id3152853" xml-lang="en-US" l10n="U" oldref="98">Correspondence symbol image of</paragraph> 416</tablecell> 417</tablerow> 418<tablerow> 419<tablecell colspan="" rowspan=""> 420<paragraph role="tablecontent" id="par_id3677758" xml-lang="en-US" l10n="NEW" localize="false"> 421<item type="literal">transr</item> 422</paragraph> 423</tablecell> 424<tablecell colspan="" rowspan=""/> 425<tablecell colspan="" rowspan=""> 426<paragraph role="tablecontent" id="par_id3157974" xml-lang="en-US" l10n="U" oldref="100">Correspondence symbol original of</paragraph> 427</tablecell> 428</tablerow> 429</table> 430<section id="relatedtopics"> 431<embed href="text/smath/01/03090200.xhp#relationen"/> 432<embed href="text/smath/01/03091500.xhp#reference"/> 433</section> 434</body> 435</helpdocument> 436
