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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="textsmath0103091503xml" indexer="include" status="PUBLISH"> 38<title id="tit" xml-lang="en-US">Set Operators</title> 39<filename>/text/smath/01/03091503.xhp</filename> 40</topic> 41</meta> 42<body> 43<bookmark xml-lang="en-US" branch="index" id="bm_id3157991"><bookmark_value>set operators;list of</bookmark_value> 44</bookmark> 45<paragraph role="heading" id="hd_id4201178" xml-lang="en-US" level="1" l10n="NEW"><variable id="set"><link href="text/smath/01/03091503.xhp" name="set">Set Operators</link> 46</variable></paragraph> 47<table id="tbl_id3145680"> 48<tablerow> 49<tablecell colspan="" rowspan=""> 50<paragraph role="tablehead" id="par_idN1130F" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 51</tablecell> 52<tablecell colspan="" rowspan=""> 53<paragraph role="tablehead" id="par_id3145724" xml-lang="en-US" l10n="U" oldref="478">Symbol in Elements Window</paragraph> 54</tablecell> 55<tablecell colspan="" rowspan=""> 56<paragraph role="tablehead" id="par_id3158137" xml-lang="en-US" l10n="U" oldref="480">Meaning</paragraph> 57</tablecell> 58</tablerow> 59<tablerow> 60<tablecell colspan="" rowspan=""> 61<paragraph role="tablecontent" id="par_idN1146D" xml-lang="en-US" l10n="NEW" localize="false"> 62<item type="literal">aleph</item> 63</paragraph> 64</tablecell> 65<tablecell colspan="" rowspan=""> 66<paragraph role="tablecontent" id="par_id3146505" xml-lang="en-US" l10n="E"> 67<image id="img_id3146512" src="starmath/res/op22001.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3146512" xml-lang="en-US">Icon</alt> 68 </image></paragraph> 69</tablecell> 70<tablecell colspan="" rowspan=""> 71<paragraph role="tablecontent" id="par_id3146625" xml-lang="en-US" l10n="U" oldref="214">Cardinal number</paragraph> 72</tablecell> 73</tablerow> 74<tablerow> 75<tablecell colspan="" rowspan=""> 76<paragraph role="tablecontent" id="par_idN1131F" xml-lang="en-US" l10n="NEW" localize="false"> 77<item type="literal">emptyset</item> 78</paragraph> 79</tablecell> 80<tablecell colspan="" rowspan=""> 81<paragraph role="tablecontent" id="par_id3159379" xml-lang="en-US" l10n="E"> 82<image id="img_id3159386" src="starmath/res/op22002.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3159386" xml-lang="en-US">Icon</alt> 83 </image></paragraph> 84</tablecell> 85<tablecell colspan="" rowspan=""> 86<paragraph role="tablecontent" id="par_id3152374" xml-lang="en-US" l10n="U" oldref="218">Empty set</paragraph> 87</tablecell> 88</tablerow> 89<tablerow> 90<tablecell colspan="" rowspan=""> 91<paragraph role="tablecontent" id="par_id8198065" xml-lang="en-US" l10n="NEW" localize="false"> 92<item type="literal">in</item> 93</paragraph> 94</tablecell> 95<tablecell colspan="" rowspan=""> 96<paragraph role="tablecontent" id="par_id3158166" xml-lang="en-US" l10n="E"> 97<image id="img_id3158173" src="starmath/res/op21401.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3158173" xml-lang="en-US">Icon</alt> 98 </image></paragraph> 99</tablecell> 100<tablecell colspan="" rowspan=""> 101<paragraph role="tablecontent" id="par_id3155037" xml-lang="en-US" l10n="U" oldref="102">is contained in</paragraph> 102</tablecell> 103</tablerow> 104<tablerow> 105<tablecell colspan="" rowspan=""> 106<paragraph role="tablecontent" id="par_idN11361" xml-lang="en-US" l10n="NEW" localize="false"> 107<item type="literal">intersection</item> 108</paragraph> 109</tablecell> 110<tablecell colspan="" rowspan=""> 111<paragraph role="tablecontent" id="par_id3152402" xml-lang="en-US" l10n="E"> 112<image id="img_id3152408" src="starmath/res/op21405.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152408" xml-lang="en-US">Icon</alt> 113 </image></paragraph> 114</tablecell> 115<tablecell colspan="" rowspan=""> 116<paragraph role="tablecontent" id="par_id3152522" xml-lang="en-US" l10n="U" oldref="126">Intersection of sets</paragraph> 117</tablecell> 118</tablerow> 119<tablerow> 120<tablecell colspan="" rowspan=""> 121<paragraph role="tablecontent" id="par_idN11297" xml-lang="en-US" l10n="NEW" localize="false"> 122<item type="literal">notin</item> 123</paragraph> 124</tablecell> 125<tablecell colspan="" rowspan=""> 126<paragraph role="tablecontent" id="par_id3158212" xml-lang="en-US" l10n="E"> 127<image id="img_id3158218" src="starmath/res/op21402.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3158218" xml-lang="en-US">Icon</alt> 128 </image></paragraph> 129</tablecell> 130<tablecell colspan="" rowspan=""> 131<paragraph role="tablecontent" id="par_id3158332" xml-lang="en-US" l10n="U" oldref="104">is not contained in</paragraph> 132</tablecell> 133</tablerow> 134<tablerow> 135<tablecell colspan="" rowspan=""> 136<paragraph role="tablecontent" id="par_idN115B7" xml-lang="en-US" l10n="NEW" localize="false"> 137<item type="literal">nsubset</item> 138</paragraph> 139</tablecell> 140<tablecell colspan="" rowspan=""> 141<paragraph role="tablecontent" id="par_id3158819" xml-lang="en-US" l10n="E"> 142<image id="img_id3158825" src="starmath/res/op21413.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3158825" xml-lang="en-US">Icon</alt> 143 </image></paragraph> 144</tablecell> 145<tablecell colspan="" rowspan=""> 146<paragraph role="tablecontent" id="par_id3158939" xml-lang="en-US" l10n="U" oldref="110">Not subset to</paragraph> 147</tablecell> 148</tablerow> 149<tablerow> 150<tablecell colspan="" rowspan=""> 151<paragraph role="tablecontent" id="par_idN115F9" xml-lang="en-US" l10n="NEW" localize="false"> 152<item type="literal">nsubseteq</item> 153</paragraph> 154</tablecell> 155<tablecell colspan="" rowspan=""> 156<paragraph role="tablecontent" id="par_id3158966" xml-lang="en-US" l10n="E"> 157<image id="img_id3158973" src="starmath/res/op21414.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3158973" xml-lang="en-US">Icon</alt> 158 </image></paragraph> 159</tablecell> 160<tablecell colspan="" rowspan=""> 161<paragraph role="tablecontent" id="par_id3159086" xml-lang="en-US" l10n="U" oldref="112">Not subset or equal to</paragraph> 162</tablecell> 163</tablerow> 164<tablerow> 165<tablecell colspan="" rowspan=""> 166<paragraph role="tablecontent" id="par_idN1163B" xml-lang="en-US" l10n="NEW" localize="false"> 167<item type="literal">nsupset</item> 168</paragraph> 169</tablecell> 170<tablecell colspan="" rowspan=""> 171<paragraph role="tablecontent" id="par_id3159114" xml-lang="en-US" l10n="E"> 172<image id="img_id3159120" src="starmath/res/op21415.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3159120" xml-lang="en-US">Icon</alt> 173 </image></paragraph> 174</tablecell> 175<tablecell colspan="" rowspan=""> 176<paragraph role="tablecontent" id="par_id3162974" xml-lang="en-US" l10n="U" oldref="118">Not superset</paragraph> 177</tablecell> 178</tablerow> 179<tablerow> 180<tablecell colspan="" rowspan=""> 181<paragraph role="tablecontent" id="par_idN1167D" xml-lang="en-US" l10n="NEW" localize="false"> 182<item type="literal">nsupseteq</item> 183</paragraph> 184</tablecell> 185<tablecell colspan="" rowspan=""> 186<paragraph role="tablecontent" id="par_id3163002" xml-lang="en-US" l10n="E"> 187<image id="img_id3163008" src="starmath/res/op21416.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3163008" xml-lang="en-US">Icon</alt> 188 </image></paragraph> 189</tablecell> 190<tablecell colspan="" rowspan=""> 191<paragraph role="tablecontent" id="par_id3163122" xml-lang="en-US" l10n="U" oldref="120">Not superset or equal to</paragraph> 192</tablecell> 193</tablerow> 194<tablerow> 195<tablecell colspan="" rowspan=""> 196<paragraph role="tablecontent" id="par_idN112D9" xml-lang="en-US" l10n="NEW"> 197<item type="literal">owns</item> or <item type="literal">ni</item> 198</paragraph> 199</tablecell> 200<tablecell colspan="" rowspan=""> 201<paragraph role="tablecontent" id="par_id3158359" xml-lang="en-US" l10n="E"> 202<image id="img_id3158366" src="starmath/res/op21403.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3158366" xml-lang="en-US">Icon</alt> 203 </image></paragraph> 204</tablecell> 205<tablecell colspan="" rowspan=""> 206<paragraph role="tablecontent" id="par_id3159352" xml-lang="en-US" l10n="U" oldref="122">Contains</paragraph> 207</tablecell> 208</tablerow> 209<tablerow> 210<tablecell colspan="" rowspan=""> 211<paragraph role="tablecontent" id="par_idN117C7" xml-lang="en-US" l10n="NEW" localize="false"> 212<item type="literal">setc</item> 213</paragraph> 214</tablecell> 215<tablecell colspan="" rowspan=""> 216<paragraph role="tablecontent" id="par_id3156480" xml-lang="en-US" l10n="E"> 217<image id="img_id3156486" src="starmath/res/op21421.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156486" xml-lang="en-US">Icon</alt> 218 </image></paragraph> 219</tablecell> 220<tablecell colspan="" rowspan=""> 221<paragraph role="tablecontent" id="par_id3156600" xml-lang="en-US" l10n="U" oldref="405">Complex number</paragraph> 222</tablecell> 223</tablerow> 224<tablerow> 225<tablecell colspan="" rowspan=""> 226<paragraph role="tablecontent" id="par_idN113E5" xml-lang="en-US" l10n="NEW"> 227<item type="literal">setminus</item> or <item type="literal">bslash</item> 228</paragraph> 229</tablecell> 230<tablecell colspan="" rowspan=""> 231<paragraph role="tablecontent" id="par_id3145932" xml-lang="en-US" l10n="E"> 232<image id="img_id3145938" src="starmath/res/op21407.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3145938" xml-lang="en-US">Icon</alt> 233 </image></paragraph> 234</tablecell> 235<tablecell colspan="" rowspan=""> 236<paragraph role="tablecontent" id="par_id3146052" xml-lang="en-US" l10n="U" oldref="128">Difference between sets</paragraph> 237</tablecell> 238</tablerow> 239<tablerow> 240<tablecell colspan="" rowspan=""> 241<paragraph role="tablecontent" id="par_idN116BF" xml-lang="en-US" l10n="NEW" localize="false"> 242<item type="literal">setn</item> 243</paragraph> 244</tablecell> 245<tablecell colspan="" rowspan=""> 246<paragraph role="tablecontent" id="par_id3163149" xml-lang="en-US" l10n="E"> 247<image id="img_id3163156" src="starmath/res/op21417.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3163156" xml-lang="en-US">Icon</alt> 248 </image></paragraph> 249</tablecell> 250<tablecell colspan="" rowspan=""> 251<paragraph role="tablecontent" id="par_id3163269" xml-lang="en-US" l10n="U" oldref="397">Natural number</paragraph> 252</tablecell> 253</tablerow> 254<tablerow> 255<tablecell colspan="" rowspan=""> 256<paragraph role="tablecontent" id="par_idN11743" xml-lang="en-US" l10n="NEW" localize="false"> 257<item type="literal">setq</item> 258</paragraph> 259</tablecell> 260<tablecell colspan="" rowspan=""> 261<paragraph role="tablecontent" id="par_id3163444" xml-lang="en-US" l10n="E"> 262<image id="img_id3163450" src="starmath/res/op21419.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3163450" xml-lang="en-US">Icon</alt> 263 </image></paragraph> 264</tablecell> 265<tablecell colspan="" rowspan=""> 266<paragraph role="tablecontent" id="par_id3163564" xml-lang="en-US" l10n="U" oldref="401">Rational number</paragraph> 267</tablecell> 268</tablerow> 269<tablerow> 270<tablecell colspan="" rowspan=""> 271<paragraph role="tablecontent" id="par_idN11785" xml-lang="en-US" l10n="NEW" localize="false"> 272<item type="literal">setr</item> 273</paragraph> 274</tablecell> 275<tablecell colspan="" rowspan=""> 276<paragraph role="tablecontent" id="par_id3163591" xml-lang="en-US" l10n="E"> 277<image id="img_id3163598" src="starmath/res/op21420.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3163598" xml-lang="en-US">Icon</alt> 278 </image></paragraph> 279</tablecell> 280<tablecell colspan="" rowspan=""> 281<paragraph role="tablecontent" id="par_id3156453" xml-lang="en-US" l10n="U" oldref="403">Real number</paragraph> 282</tablecell> 283</tablerow> 284<tablerow> 285<tablecell colspan="" rowspan=""> 286<paragraph role="tablecontent" id="par_idN11701" xml-lang="en-US" l10n="NEW" localize="false"> 287<item type="literal">setz</item> 288</paragraph> 289</tablecell> 290<tablecell colspan="" rowspan=""> 291<paragraph role="tablecontent" id="par_id3163296" xml-lang="en-US" l10n="E"> 292<image id="img_id3163303" src="starmath/res/op21418.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3163303" xml-lang="en-US">Icon</alt> 293 </image></paragraph> 294</tablecell> 295<tablecell colspan="" rowspan=""> 296<paragraph role="tablecontent" id="par_id3163416" xml-lang="en-US" l10n="U" oldref="399">Integer</paragraph> 297</tablecell> 298</tablerow> 299<tablerow> 300<tablecell colspan="" rowspan=""> 301<paragraph role="tablecontent" id="par_idN1142B" xml-lang="en-US" l10n="NEW" localize="false"> 302<item type="literal">slash</item> 303</paragraph> 304</tablecell> 305<tablecell colspan="" rowspan=""> 306<paragraph role="tablecontent" id="par_id3146357" xml-lang="en-US" l10n="E"> 307<image id="img_id3146363" src="starmath/res/op21408.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3146363" xml-lang="en-US">Icon</alt> 308 </image></paragraph> 309</tablecell> 310<tablecell colspan="" rowspan=""> 311<paragraph role="tablecontent" id="par_id3146477" xml-lang="en-US" l10n="U" oldref="54">Slash / for quotient set (slash) between characters</paragraph> 312</tablecell> 313</tablerow> 314<tablerow> 315<tablecell colspan="" rowspan=""> 316<paragraph role="tablecontent" id="par_idN114AF" xml-lang="en-US" l10n="NEW" localize="false"> 317<item type="literal">subset</item> 318</paragraph> 319</tablecell> 320<tablecell colspan="" rowspan=""> 321<paragraph role="tablecontent" id="par_id3146652" xml-lang="en-US" l10n="E"> 322<image id="img_id3146659" src="starmath/res/op21409.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3146659" xml-lang="en-US">Icon</alt> 323 </image></paragraph> 324</tablecell> 325<tablecell colspan="" rowspan=""> 326<paragraph role="tablecontent" id="par_id3146772" xml-lang="en-US" l10n="U" oldref="106">Subset</paragraph> 327</tablecell> 328</tablerow> 329<tablerow> 330<tablecell colspan="" rowspan=""> 331<paragraph role="tablecontent" id="par_idN114F1" xml-lang="en-US" l10n="NEW" localize="false"> 332<item type="literal">subseteq</item> 333</paragraph> 334</tablecell> 335<tablecell colspan="" rowspan=""> 336<paragraph role="tablecontent" id="par_id3146800" xml-lang="en-US" l10n="E"> 337<image id="img_id3146806" src="starmath/res/op21410.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3146806" xml-lang="en-US">Icon</alt> 338 </image></paragraph> 339</tablecell> 340<tablecell colspan="" rowspan=""> 341<paragraph role="tablecontent" id="par_id3158496" xml-lang="en-US" l10n="U" oldref="108">Subset or equal to</paragraph> 342</tablecell> 343</tablerow> 344<tablerow> 345<tablecell colspan="" rowspan=""> 346<paragraph role="tablecontent" id="par_idN11533" xml-lang="en-US" l10n="NEW" localize="false"> 347<item type="literal">supset</item> 348</paragraph> 349</tablecell> 350<tablecell colspan="" rowspan=""> 351<paragraph role="tablecontent" id="par_id3158524" xml-lang="en-US" l10n="E"> 352<image id="img_id3158530" src="starmath/res/op21411.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3158530" xml-lang="en-US">Icon</alt> 353 </image></paragraph> 354</tablecell> 355<tablecell colspan="" rowspan=""> 356<paragraph role="tablecontent" id="par_id3158644" xml-lang="en-US" l10n="U" oldref="114">Superset</paragraph> 357</tablecell> 358</tablerow> 359<tablerow> 360<tablecell colspan="" rowspan=""> 361<paragraph role="tablecontent" id="par_idN11575" xml-lang="en-US" l10n="NEW" localize="false"> 362<item type="literal">supseteq</item> 363</paragraph> 364</tablecell> 365<tablecell colspan="" rowspan=""> 366<paragraph role="tablecontent" id="par_id3158671" xml-lang="en-US" l10n="E"> 367<image id="img_id3158678" src="starmath/res/op21412.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3158678" xml-lang="en-US">Icon</alt> 368 </image></paragraph> 369</tablecell> 370<tablecell colspan="" rowspan=""> 371<paragraph role="tablecontent" id="par_id3158791" xml-lang="en-US" l10n="U" oldref="116">Superset or equal to</paragraph> 372</tablecell> 373</tablerow> 374<tablerow> 375<tablecell colspan="" rowspan=""> 376<paragraph role="tablecontent" id="par_idN113A3" xml-lang="en-US" l10n="NEW" localize="false"> 377<item type="literal">union</item> 378</paragraph> 379</tablecell> 380<tablecell colspan="" rowspan=""> 381<paragraph role="tablecontent" id="par_id3152548" xml-lang="en-US" l10n="E"> 382<image id="img_id3152555" src="starmath/res/op21406.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152555" xml-lang="en-US">Icon</alt> 383 </image></paragraph> 384</tablecell> 385<tablecell colspan="" rowspan=""> 386<paragraph role="tablecontent" id="par_id3145904" xml-lang="en-US" l10n="U" oldref="124">Union of sets</paragraph> 387</tablecell> 388</tablerow> 389</table> 390<section id="relatedtopics"> 391<embed href="text/smath/01/03090800.xhp#mengenop"/> 392<embed href="text/smath/01/03091500.xhp#reference"/> 393</section> 394</body> 395</helpdocument> 396
