1<?xml version="1.0" encoding="UTF-8"?>
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23
24<helpdocument version="1.0">
25<meta>
26<topic id="textsmath0103091503xml" indexer="include" status="PUBLISH">
27<title id="tit" xml-lang="en-US">Set Operators</title>
28<filename>/text/smath/01/03091503.xhp</filename>
29</topic>
30</meta>
31<body>
32<bookmark xml-lang="en-US" branch="index" id="bm_id3157991">
33<bookmark_value>set operators;list of</bookmark_value>
34</bookmark>
35<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>
36</variable></paragraph>
37<table id="tbl_id3145680">
38<tablerow>
39<tablecell colspan="" rowspan="">
40<paragraph role="tablehead" id="par_idN1130F" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph>
41</tablecell>
42<tablecell colspan="" rowspan="">
43<paragraph role="tablehead" id="par_id3145724" xml-lang="en-US" l10n="U">Symbol in Elements Window</paragraph>
44</tablecell>
45<tablecell colspan="" rowspan="">
46<paragraph role="tablehead" id="par_id3158137" xml-lang="en-US" l10n="U">Meaning</paragraph>
47</tablecell>
48</tablerow>
49<tablerow>
50<tablecell colspan="" rowspan="">
51<paragraph role="tablecontent" id="par_idN1146D" xml-lang="en-US" l10n="NEW" localize="false">
52<item type="literal">aleph</item>
53</paragraph>
54</tablecell>
55<tablecell colspan="" rowspan="">
56<paragraph role="tablecontent" id="par_id3146505" xml-lang="en-US" l10n="E">
57<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></image></paragraph></tablecell>
58<tablecell colspan="" rowspan="">
59<paragraph role="tablecontent" id="par_id3146625" xml-lang="en-US" l10n="U">Cardinal number</paragraph>
60</tablecell>
61</tablerow>
62<tablerow>
63<tablecell colspan="" rowspan="">
64<paragraph role="tablecontent" id="par_idN1131F" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">emptyset</item></paragraph>
65</tablecell>
66<tablecell colspan="" rowspan="">
67<paragraph role="tablecontent" id="par_id3159379" xml-lang="en-US" l10n="E">
68<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>
69</image></paragraph>
70</tablecell>
71<tablecell colspan="" rowspan="">
72<paragraph role="tablecontent" id="par_id3152374" xml-lang="en-US" l10n="U">Empty set</paragraph>
73</tablecell>
74</tablerow>
75<tablerow>
76<tablecell colspan="" rowspan="">
77<paragraph role="tablecontent" id="par_id8198065" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">in</item></paragraph>
78</tablecell>
79<tablecell colspan="" rowspan="">
80<paragraph role="tablecontent" id="par_id3158166" xml-lang="en-US" l10n="E">
81<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>
82</image></paragraph>
83</tablecell>
84<tablecell colspan="" rowspan="">
85<paragraph role="tablecontent" id="par_id3155037" xml-lang="en-US" l10n="U">is contained in</paragraph>
86</tablecell>
87</tablerow>
88<tablerow>
89<tablecell colspan="" rowspan="">
90<paragraph role="tablecontent" id="par_idN11361" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">intersection</item></paragraph>
91</tablecell>
92<tablecell colspan="" rowspan="">
93<paragraph role="tablecontent" id="par_id3152402" xml-lang="en-US" l10n="E">
94<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>
95</image></paragraph>
96</tablecell>
97<tablecell colspan="" rowspan="">
98<paragraph role="tablecontent" id="par_id3152522" xml-lang="en-US" l10n="U">Intersection of sets</paragraph>
99</tablecell>
100</tablerow>
101<tablerow>
102<tablecell colspan="" rowspan="">
103<paragraph role="tablecontent" id="par_idN11297" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">notin</item></paragraph>
104</tablecell>
105<tablecell colspan="" rowspan="">
106<paragraph role="tablecontent" id="par_id3158212" xml-lang="en-US" l10n="E">
107<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>
108</image></paragraph>
109</tablecell>
110<tablecell colspan="" rowspan="">
111<paragraph role="tablecontent" id="par_id3158332" xml-lang="en-US" l10n="U">is not contained in</paragraph>
112</tablecell>
113</tablerow>
114<tablerow>
115<tablecell colspan="" rowspan="">
116<paragraph role="tablecontent" id="par_idN115B7" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">nsubset</item></paragraph>
117</tablecell>
118<tablecell colspan="" rowspan="">
119<paragraph role="tablecontent" id="par_id3158819" xml-lang="en-US" l10n="E">
120<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>
121</image></paragraph>
122</tablecell>
123<tablecell colspan="" rowspan="">
124<paragraph role="tablecontent" id="par_id3158939" xml-lang="en-US" l10n="U">Not subset to</paragraph>
125</tablecell>
126</tablerow>
127<tablerow>
128<tablecell colspan="" rowspan="">
129<paragraph role="tablecontent" id="par_idN115F9" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">nsubseteq</item></paragraph>
130</tablecell>
131<tablecell colspan="" rowspan="">
132<paragraph role="tablecontent" id="par_id3158966" xml-lang="en-US" l10n="E">
133<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>
134</image></paragraph>
135</tablecell>
136<tablecell colspan="" rowspan="">
137<paragraph role="tablecontent" id="par_id3159086" xml-lang="en-US" l10n="U">Not subset or equal to</paragraph>
138</tablecell>
139</tablerow>
140<tablerow>
141<tablecell colspan="" rowspan="">
142<paragraph role="tablecontent" id="par_idN1163B" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">nsupset</item></paragraph>
143</tablecell>
144<tablecell colspan="" rowspan="">
145<paragraph role="tablecontent" id="par_id3159114" xml-lang="en-US" l10n="E">
146<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>
147</image></paragraph>
148</tablecell>
149<tablecell colspan="" rowspan="">
150<paragraph role="tablecontent" id="par_id3162974" xml-lang="en-US" l10n="U">Not superset</paragraph>
151</tablecell>
152</tablerow>
153<tablerow>
154<tablecell colspan="" rowspan="">
155<paragraph role="tablecontent" id="par_idN1167D" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">nsupseteq</item></paragraph>
156</tablecell>
157<tablecell colspan="" rowspan="">
158<paragraph role="tablecontent" id="par_id3163002" xml-lang="en-US" l10n="E">
159<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>
160</image></paragraph>
161</tablecell>
162<tablecell colspan="" rowspan="">
163<paragraph role="tablecontent" id="par_id3163122" xml-lang="en-US" l10n="U">Not superset or equal to</paragraph>
164</tablecell>
165</tablerow>
166<tablerow>
167<tablecell colspan="" rowspan="">
168<paragraph role="tablecontent" id="par_idN112D9" xml-lang="en-US" l10n="NEW">
169<item type="literal">owns</item> or <item type="literal">ni</item>
170</paragraph>
171</tablecell>
172<tablecell colspan="" rowspan="">
173<paragraph role="tablecontent" id="par_id3158359" xml-lang="en-US" l10n="E">
174<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>
175</image></paragraph>
176</tablecell>
177<tablecell colspan="" rowspan="">
178<paragraph role="tablecontent" id="par_id3159352" xml-lang="en-US" l10n="U">Contains</paragraph>
179</tablecell>
180</tablerow>
181<tablerow>
182<tablecell colspan="" rowspan="">
183<paragraph role="tablecontent" id="par_idN117C7" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">setc</item></paragraph>
184</tablecell>
185<tablecell colspan="" rowspan="">
186<paragraph role="tablecontent" id="par_id3156480" xml-lang="en-US" l10n="E">
187<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>
188</image></paragraph>
189</tablecell>
190<tablecell colspan="" rowspan="">
191<paragraph role="tablecontent" id="par_id3156600" xml-lang="en-US" l10n="U">Complex number</paragraph>
192</tablecell>
193</tablerow>
194<tablerow>
195<tablecell colspan="" rowspan="">
196<paragraph role="tablecontent" id="par_idN113E5" xml-lang="en-US" l10n="NEW"><item type="literal">setminus</item> or <item type="literal">bslash</item></paragraph>
197</tablecell>
198<tablecell colspan="" rowspan="">
199<paragraph role="tablecontent" id="par_id3145932" xml-lang="en-US" l10n="E">
200<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>
201</image></paragraph>
202</tablecell>
203<tablecell colspan="" rowspan="">
204<paragraph role="tablecontent" id="par_id3146052" xml-lang="en-US" l10n="U">Difference between sets</paragraph>
205</tablecell>
206</tablerow>
207<tablerow>
208<tablecell colspan="" rowspan="">
209<paragraph role="tablecontent" id="par_idN116BF" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">setn</item></paragraph>
210</tablecell>
211<tablecell colspan="" rowspan="">
212<paragraph role="tablecontent" id="par_id3163149" xml-lang="en-US" l10n="E">
213<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>
214</image></paragraph>
215</tablecell>
216<tablecell colspan="" rowspan="">
217<paragraph role="tablecontent" id="par_id3163269" xml-lang="en-US" l10n="U">Natural number</paragraph>
218</tablecell>
219</tablerow>
220<tablerow>
221<tablecell colspan="" rowspan="">
222<paragraph role="tablecontent" id="par_idN11743" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">setq</item></paragraph>
223</tablecell>
224<tablecell colspan="" rowspan="">
225<paragraph role="tablecontent" id="par_id3163444" xml-lang="en-US" l10n="E">
226<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>
227</image></paragraph>
228</tablecell>
229<tablecell colspan="" rowspan="">
230<paragraph role="tablecontent" id="par_id3163564" xml-lang="en-US" l10n="U">Rational number</paragraph>
231</tablecell>
232</tablerow>
233<tablerow>
234<tablecell colspan="" rowspan="">
235<paragraph role="tablecontent" id="par_idN11785" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">setr</item></paragraph>
236</tablecell>
237<tablecell colspan="" rowspan="">
238<paragraph role="tablecontent" id="par_id3163591" xml-lang="en-US" l10n="E">
239<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>
240</image></paragraph>
241</tablecell>
242<tablecell colspan="" rowspan="">
243<paragraph role="tablecontent" id="par_id3156453" xml-lang="en-US" l10n="U">Real number</paragraph>
244</tablecell>
245</tablerow>
246<tablerow>
247<tablecell colspan="" rowspan="">
248<paragraph role="tablecontent" id="par_idN11701" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">setz</item></paragraph>
249</tablecell>
250<tablecell colspan="" rowspan="">
251<paragraph role="tablecontent" id="par_id3163296" xml-lang="en-US" l10n="E">
252<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>
253</image></paragraph>
254</tablecell>
255<tablecell colspan="" rowspan="">
256<paragraph role="tablecontent" id="par_id3163416" xml-lang="en-US" l10n="U">Integer</paragraph>
257</tablecell>
258</tablerow>
259<tablerow>
260<tablecell colspan="" rowspan="">
261<paragraph role="tablecontent" id="par_idN1142B" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">slash</item></paragraph>
262</tablecell>
263<tablecell colspan="" rowspan="">
264<paragraph role="tablecontent" id="par_id3146357" xml-lang="en-US" l10n="E">
265<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>
266</image></paragraph>
267</tablecell>
268<tablecell colspan="" rowspan="">
269<paragraph role="tablecontent" id="par_id3146477" xml-lang="en-US" l10n="U">Slash / for quotient set (slash) between characters</paragraph>
270</tablecell>
271</tablerow>
272<tablerow>
273<tablecell colspan="" rowspan="">
274<paragraph role="tablecontent" id="par_idN114AF" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">subset</item></paragraph>
275</tablecell>
276<tablecell colspan="" rowspan="">
277<paragraph role="tablecontent" id="par_id3146652" xml-lang="en-US" l10n="E">
278<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>
279</image></paragraph>
280</tablecell>
281<tablecell colspan="" rowspan="">
282<paragraph role="tablecontent" id="par_id3146772" xml-lang="en-US" l10n="U">Subset</paragraph>
283</tablecell>
284</tablerow>
285<tablerow>
286<tablecell colspan="" rowspan="">
287<paragraph role="tablecontent" id="par_idN114F1" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">subseteq</item></paragraph>
288</tablecell>
289<tablecell colspan="" rowspan="">
290<paragraph role="tablecontent" id="par_id3146800" xml-lang="en-US" l10n="E">
291<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>
292</image></paragraph>
293</tablecell>
294<tablecell colspan="" rowspan="">
295<paragraph role="tablecontent" id="par_id3158496" xml-lang="en-US" l10n="U">Subset or equal to</paragraph>
296</tablecell>
297</tablerow>
298<tablerow>
299<tablecell colspan="" rowspan="">
300<paragraph role="tablecontent" id="par_idN11533" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">supset</item></paragraph>
301</tablecell>
302<tablecell colspan="" rowspan="">
303<paragraph role="tablecontent" id="par_id3158524" xml-lang="en-US" l10n="E">
304<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>
305</image></paragraph>
306</tablecell>
307<tablecell colspan="" rowspan="">
308<paragraph role="tablecontent" id="par_id3158644" xml-lang="en-US" l10n="U">Superset</paragraph>
309</tablecell>
310</tablerow>
311<tablerow>
312<tablecell colspan="" rowspan="">
313<paragraph role="tablecontent" id="par_idN11575" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">supseteq</item></paragraph>
314</tablecell>
315<tablecell colspan="" rowspan="">
316<paragraph role="tablecontent" id="par_id3158671" xml-lang="en-US" l10n="E">
317<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>
318</image></paragraph>
319</tablecell>
320<tablecell colspan="" rowspan="">
321<paragraph role="tablecontent" id="par_id3158791" xml-lang="en-US" l10n="U">Superset or equal to</paragraph>
322</tablecell>
323</tablerow>
324<tablerow>
325<tablecell colspan="" rowspan="">
326<paragraph role="tablecontent" id="par_idN113A3" xml-lang="en-US" l10n="NEW" localize="false"><item type="literal">union</item></paragraph>
327</tablecell>
328<tablecell colspan="" rowspan="">
329<paragraph role="tablecontent" id="par_id3152548" xml-lang="en-US" l10n="E">
330<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>
331</image></paragraph>
332</tablecell>
333<tablecell colspan="" rowspan="">
334<paragraph role="tablecontent" id="par_id3145904" xml-lang="en-US" l10n="U">Union of sets</paragraph>
335</tablecell>
336</tablerow>
337</table>
338<section id="relatedtopics">
339<embed href="text/smath/01/03090800.xhp#mengenop"/>
340<embed href="text/smath/01/03091500.xhp#reference"/>
341</section>
342</body>
343</helpdocument>
344