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29		<helpdocument version="1.0">
30<meta>
31<topic id="textsmath0103091504xml" indexer="include" status="PUBLISH">
32<title id="tit" xml-lang="en-US">Functions</title>
33<filename>/text/smath/01/03091504.xhp</filename>
34</topic>
35</meta>
36<body>
37<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"><bookmark_value>functions operators;list of</bookmark_value>
38</bookmark>
39<paragraph role="heading" id="hd_id645466" xml-lang="en-US" level="1" l10n="NEW"><variable id="functions"><link href="text/smath/01/03091504.xhp" name="Functions">Functions</link>
40</variable></paragraph>
41<table id="tbl_id3156638" class="list">
42<tablerow>
43<tablecell colspan="" rowspan="">
44<paragraph role="tablehead" id="par_idN11838" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph>
45</tablecell>
46<tablecell colspan="" rowspan="">
47<paragraph role="tablehead" id="par_id3156681" xml-lang="en-US" l10n="U" oldref="481">Symbol in Elements Window</paragraph>
48</tablecell>
49<tablecell colspan="" rowspan="">
50<paragraph role="tablehead" id="par_id3156750" xml-lang="en-US" l10n="U" oldref="483">Meaning</paragraph>
51</tablecell>
52</tablerow>
53<tablerow>
54<tablecell colspan="" rowspan="">
55<paragraph role="tablecontent" id="par_idN11D34" xml-lang="en-US" l10n="NEW" localize="false">
56<item type="literal">abs</item>
57</paragraph>
58</tablecell>
59<tablecell colspan="" rowspan="">
60<paragraph role="tablecontent" id="par_id3166018" xml-lang="en-US" l10n="E">
61<image id="img_id3166024" src="starmath/res/fu21501.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166024" xml-lang="en-US">Icon</alt>
62	</image></paragraph>
63</tablecell>
64<tablecell colspan="" rowspan="">
65<paragraph role="tablecontent" id="par_id3166138" xml-lang="en-US" l10n="U" oldref="16">Absolute amount</paragraph>
66</tablecell>
67</tablerow>
68<tablerow>
69<tablecell colspan="" rowspan="">
70<paragraph role="tablecontent" id="par_idN11B2C" xml-lang="en-US" l10n="NEW" localize="false">
71<item type="literal">arccos</item>
72</paragraph>
73</tablecell>
74<tablecell colspan="" rowspan="">
75<paragraph role="tablecontent" id="par_id3164840" xml-lang="en-US" l10n="E">
76<image id="img_id3164847" src="starmath/res/fu21518.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3164847" xml-lang="en-US">Icon</alt>
77	</image></paragraph>
78</tablecell>
79<tablecell colspan="" rowspan="">
80<paragraph role="tablecontent" id="par_id3164961" xml-lang="en-US" l10n="U" oldref="184">Inverse cosine or arccosine</paragraph>
81</tablecell>
82</tablerow>
83<tablerow>
84<tablecell colspan="" rowspan="">
85<paragraph role="tablecontent" id="par_idN11BAE" xml-lang="en-US" l10n="NEW" localize="false">
86<item type="literal">arccot</item>
87</paragraph>
88</tablecell>
89<tablecell colspan="" rowspan="">
90<paragraph role="tablecontent" id="par_id3165134" xml-lang="en-US" l10n="E">
91<image id="img_id3165141" src="starmath/res/fu21520.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165141" xml-lang="en-US">Icon</alt>
92	</image></paragraph>
93</tablecell>
94<tablecell colspan="" rowspan="">
95<paragraph role="tablecontent" id="par_id3165255" xml-lang="en-US" l10n="U" oldref="188">Inverse cotangent or arccotangent</paragraph>
96</tablecell>
97</tablerow>
98<tablerow>
99<tablecell colspan="" rowspan="">
100<paragraph role="tablecontent" id="par_idN11DB6" xml-lang="en-US" l10n="NEW" localize="false">
101<item type="literal">arcosh</item>
102</paragraph>
103</tablecell>
104<tablecell colspan="" rowspan="">
105<paragraph role="tablecontent" id="par_id3166312" xml-lang="en-US" l10n="E">
106<image id="img_id3166318" src="starmath/res/fu21522.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166318" xml-lang="en-US">Icon</alt>
107	</image></paragraph>
108</tablecell>
109<tablecell colspan="" rowspan="">
110<paragraph role="tablecontent" id="par_id3166432" xml-lang="en-US" l10n="U" oldref="200">Inverse hyperbolic cosine</paragraph>
111</tablecell>
112</tablerow>
113<tablerow>
114<tablecell colspan="" rowspan="">
115<paragraph role="tablecontent" id="par_idN11E3A" xml-lang="en-US" l10n="NEW" localize="false">
116<item type="literal">arcoth</item>
117</paragraph>
118</tablecell>
119<tablecell colspan="" rowspan="">
120<paragraph role="tablecontent" id="par_id3143430" xml-lang="en-US" l10n="E">
121<image id="img_id3143436" src="starmath/res/fu21524.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3143436" xml-lang="en-US">Icon</alt>
122	</image></paragraph>
123</tablecell>
124<tablecell colspan="" rowspan="">
125<paragraph role="tablecontent" id="par_id3143550" xml-lang="en-US" l10n="U" oldref="204">Inverse hyperbolic cotangent</paragraph>
126</tablecell>
127</tablerow>
128<tablerow>
129<tablecell colspan="" rowspan="">
130<paragraph role="tablecontent" id="par_idN11AE9" xml-lang="en-US" l10n="NEW" localize="false">
131<item type="literal">arcsin</item>
132</paragraph>
133</tablecell>
134<tablecell colspan="" rowspan="">
135<paragraph role="tablecontent" id="par_id3152238" xml-lang="en-US" l10n="E">
136<image id="img_id3152244" src="starmath/res/fu21517.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152244" xml-lang="en-US">Icon</alt>
137	</image></paragraph>
138</tablecell>
139<tablecell colspan="" rowspan="">
140<paragraph role="tablecontent" id="par_id3152358" xml-lang="en-US" l10n="U" oldref="182">Inverse sine or arcsine</paragraph>
141</tablecell>
142</tablerow>
143<tablerow>
144<tablecell colspan="" rowspan="">
145<paragraph role="tablecontent" id="par_idN11B6D" xml-lang="en-US" l10n="NEW" localize="false">
146<item type="literal">arctan</item>
147</paragraph>
148</tablecell>
149<tablecell colspan="" rowspan="">
150<paragraph role="tablecontent" id="par_id3164987" xml-lang="en-US" l10n="E">
151<image id="img_id3164994" src="starmath/res/fu21519.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3164994" xml-lang="en-US">Icon</alt>
152	</image></paragraph>
153</tablecell>
154<tablecell colspan="" rowspan="">
155<paragraph role="tablecontent" id="par_id3165108" xml-lang="en-US" l10n="U" oldref="186">Inverse tangent or arctangent</paragraph>
156</tablecell>
157</tablerow>
158<tablerow>
159<tablecell colspan="" rowspan="">
160<paragraph role="tablecontent" id="par_idN11D75" xml-lang="en-US" l10n="NEW" localize="false">
161<item type="literal">arsinh</item>
162</paragraph>
163</tablecell>
164<tablecell colspan="" rowspan="">
165<paragraph role="tablecontent" id="par_id3166165" xml-lang="en-US" l10n="E">
166<image id="img_id3166172" src="starmath/res/fu21521.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166172" xml-lang="en-US">Icon</alt>
167	</image></paragraph>
168</tablecell>
169<tablecell colspan="" rowspan="">
170<paragraph role="tablecontent" id="par_id3166285" xml-lang="en-US" l10n="U" oldref="198">Inverse hyperbolic sine</paragraph>
171</tablecell>
172</tablerow>
173<tablerow>
174<tablecell colspan="" rowspan="">
175<paragraph role="tablecontent" id="par_idN11DF9" xml-lang="en-US" l10n="NEW" localize="false">
176<item type="literal">artanh</item>
177</paragraph>
178</tablecell>
179<tablecell colspan="" rowspan="">
180<paragraph role="tablecontent" id="par_id3166459" xml-lang="en-US" l10n="E">
181<image id="img_id3166465" src="starmath/res/fu21523.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166465" xml-lang="en-US">Icon</alt>
182	</image></paragraph>
183</tablecell>
184<tablecell colspan="" rowspan="">
185<paragraph role="tablecontent" id="par_id3143403" xml-lang="en-US" l10n="U" oldref="202">Inverse hyperbolic tangent</paragraph>
186</tablecell>
187</tablerow>
188<tablerow>
189<tablecell colspan="" rowspan="">
190<paragraph role="tablecontent" id="par_idN11EBC" xml-lang="en-US" l10n="NEW" localize="false">
191<item type="literal">backepsilon</item>
192</paragraph>
193</tablecell>
194<tablecell colspan="" rowspan=""/>
195<tablecell colspan="" rowspan="">
196<paragraph role="tablecontent" id="par_id3143805" xml-lang="en-US" l10n="U" oldref="216">Back epsilon</paragraph>
197</tablecell>
198</tablerow>
199<tablerow>
200<tablecell colspan="" rowspan="">
201<paragraph role="tablecontent" id="par_idN119E5" xml-lang="en-US" l10n="NEW" localize="false">
202<item type="literal">cos</item>
203</paragraph>
204</tablecell>
205<tablecell colspan="" rowspan="">
206<paragraph role="tablecontent" id="par_id3151649" xml-lang="en-US" l10n="E">
207<image id="img_id3151656" src="starmath/res/fu21510.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151656" xml-lang="en-US">Icon</alt>
208	</image></paragraph>
209</tablecell>
210<tablecell colspan="" rowspan="">
211<paragraph role="tablecontent" id="par_id3151770" xml-lang="en-US" l10n="U" oldref="176">Cosine</paragraph>
212</tablecell>
213</tablerow>
214<tablerow>
215<tablecell colspan="" rowspan="">
216<paragraph role="tablecontent" id="par_idN11C71" xml-lang="en-US" l10n="NEW" localize="false">
217<item type="literal">cosh</item>
218</paragraph>
219</tablecell>
220<tablecell colspan="" rowspan="">
221<paragraph role="tablecontent" id="par_id3165576" xml-lang="en-US" l10n="E">
222<image id="img_id3165583" src="starmath/res/fu21514.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165583" xml-lang="en-US">Icon</alt>
223	</image></paragraph>
224</tablecell>
225<tablecell colspan="" rowspan="">
226<paragraph role="tablecontent" id="par_id3165696" xml-lang="en-US" l10n="U" oldref="192">Hyperbolic cosine</paragraph>
227</tablecell>
228</tablerow>
229<tablerow>
230<tablecell colspan="" rowspan="">
231<paragraph role="tablecontent" id="par_idN11A67" xml-lang="en-US" l10n="NEW" localize="false">
232<item type="literal">cot</item>
233</paragraph>
234</tablecell>
235<tablecell colspan="" rowspan="">
236<paragraph role="tablecontent" id="par_id3151944" xml-lang="en-US" l10n="E">
237<image id="img_id3151950" src="starmath/res/fu21512.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151950" xml-lang="en-US">Icon</alt>
238	</image></paragraph>
239</tablecell>
240<tablecell colspan="" rowspan="">
241<paragraph role="tablecontent" id="par_id3152064" xml-lang="en-US" l10n="U" oldref="180">Cotangent</paragraph>
242</tablecell>
243</tablerow>
244<tablerow>
245<tablecell colspan="" rowspan="">
246<paragraph role="tablecontent" id="par_idN11CF3" xml-lang="en-US" l10n="NEW" localize="false">
247<item type="literal">coth</item>
248</paragraph>
249</tablecell>
250<tablecell colspan="" rowspan="">
251<paragraph role="tablecontent" id="par_id3165871" xml-lang="en-US" l10n="E">
252<image id="img_id3165877" src="starmath/res/fu21516.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165877" xml-lang="en-US">Icon</alt>
253	</image></paragraph>
254</tablecell>
255<tablecell colspan="" rowspan="">
256<paragraph role="tablecontent" id="par_id3165991" xml-lang="en-US" l10n="U" oldref="196">Hyperbolic cotangent</paragraph>
257</tablecell>
258</tablerow>
259<tablerow>
260<tablecell colspan="" rowspan="">
261<paragraph role="tablecontent" id="par_idN118E1" xml-lang="en-US" l10n="NEW" localize="false">
262<item type="literal">exp</item>
263</paragraph>
264</tablecell>
265<tablecell colspan="" rowspan="">
266<paragraph role="tablecontent" id="par_id3157074" xml-lang="en-US" l10n="E">
267<image id="img_id3157080" src="starmath/res/fu21507.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157080" xml-lang="en-US">Icon</alt>
268	</image></paragraph>
269</tablecell>
270<tablecell colspan="" rowspan="">
271<paragraph role="tablecontent" id="par_id3157194" xml-lang="en-US" l10n="U" oldref="206">General exponential function</paragraph>
272</tablecell>
273</tablerow>
274<tablerow>
275<tablecell colspan="" rowspan="">
276<paragraph role="tablecontent" id="par_idN11E7B" xml-lang="en-US" l10n="NEW" localize="false">
277<item type="literal">fact</item>
278</paragraph>
279</tablecell>
280<tablecell colspan="" rowspan="">
281<paragraph role="tablecontent" id="par_id3143577" xml-lang="en-US" l10n="E">
282<image id="img_id3143584" src="starmath/res/fu21502.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3143584" xml-lang="en-US">Icon</alt>
283	</image></paragraph>
284</tablecell>
285<tablecell colspan="" rowspan="">
286<paragraph role="tablecontent" id="par_id3143698" xml-lang="en-US" l10n="U" oldref="18">Factorial</paragraph>
287</tablecell>
288</tablerow>
289<tablerow>
290<tablecell colspan="" rowspan="">
291<paragraph role="tablecontent" id="par_idN1185F" xml-lang="en-US" l10n="NEW" localize="false">
292<item type="literal">func e^{}</item>
293</paragraph>
294</tablecell>
295<tablecell colspan="" rowspan="">
296<paragraph role="tablecontent" id="par_id3156780" xml-lang="en-US" l10n="E">
297<image id="img_id3156786" src="starmath/res/fu21505.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156786" xml-lang="en-US">Icon</alt>
298	</image></paragraph>
299</tablecell>
300<tablecell colspan="" rowspan="">
301<paragraph role="tablecontent" id="par_id3156900" xml-lang="en-US" l10n="U" oldref="212">Natural exponential function</paragraph>
302</tablecell>
303</tablerow>
304<tablerow>
305<tablecell colspan="" rowspan="">
306<paragraph role="tablecontent" id="par_idN118A0" xml-lang="en-US" l10n="NEW" localize="false">
307<item type="literal">ln</item>
308</paragraph>
309</tablecell>
310<tablecell colspan="" rowspan="">
311<paragraph role="tablecontent" id="par_id3156927" xml-lang="en-US" l10n="E">
312<image id="img_id3156934" src="starmath/res/fu21506.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156934" xml-lang="en-US">Icon</alt>
313	</image></paragraph>
314</tablecell>
315<tablecell colspan="" rowspan="">
316<paragraph role="tablecontent" id="par_id3157048" xml-lang="en-US" l10n="U" oldref="208">Natural logarithm</paragraph>
317</tablecell>
318</tablerow>
319<tablerow>
320<tablecell colspan="" rowspan="">
321<paragraph role="tablecontent" id="par_idN11922" xml-lang="en-US" l10n="NEW" localize="false">
322<item type="literal">log</item>
323</paragraph>
324</tablecell>
325<tablecell colspan="" rowspan="">
326<paragraph role="tablecontent" id="par_id3157220" xml-lang="en-US" l10n="E">
327<image id="img_id3157227" src="starmath/res/fu21508.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157227" xml-lang="en-US">Icon</alt>
328	</image></paragraph>
329</tablecell>
330<tablecell colspan="" rowspan="">
331<paragraph role="tablecontent" id="par_id3157341" xml-lang="en-US" l10n="U" oldref="210">General logarithm</paragraph>
332</tablecell>
333</tablerow>
334<tablerow>
335<tablecell colspan="" rowspan="">
336<paragraph role="tablecontent" id="par_idN11BEF" xml-lang="en-US" l10n="NEW" localize="false">
337<item type="literal">nroot</item>
338</paragraph>
339</tablecell>
340<tablecell colspan="" rowspan="">
341<paragraph role="tablecontent" id="par_id3165282" xml-lang="en-US" l10n="E">
342<image id="img_id3165288" src="starmath/res/fu21504.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165288" xml-lang="en-US">Icon</alt>
343	</image></paragraph>
344</tablecell>
345<tablecell colspan="" rowspan="">
346<paragraph role="tablecontent" id="par_id3165402" xml-lang="en-US" l10n="U" oldref="22">n-th root of x</paragraph>
347</tablecell>
348</tablerow>
349<tablerow>
350<tablecell colspan="" rowspan="">
351<paragraph role="tablecontent" id="par_idN119A4" xml-lang="en-US" l10n="NEW" localize="false">
352<item type="literal">sin</item>
353</paragraph>
354</tablecell>
355<tablecell colspan="" rowspan="">
356<paragraph role="tablecontent" id="par_id3151502" xml-lang="en-US" l10n="E">
357<image id="img_id3151509" src="starmath/res/fu21509.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151509" xml-lang="en-US">Icon</alt>
358	</image></paragraph>
359</tablecell>
360<tablecell colspan="" rowspan="">
361<paragraph role="tablecontent" id="par_id3151623" xml-lang="en-US" l10n="U" oldref="174">Sine</paragraph>
362</tablecell>
363</tablerow>
364<tablerow>
365<tablecell colspan="" rowspan="">
366<paragraph role="tablecontent" id="par_idN11C30" xml-lang="en-US" l10n="NEW" localize="false">
367<item type="literal">sinh</item>
368</paragraph>
369</tablecell>
370<tablecell colspan="" rowspan="">
371<paragraph role="tablecontent" id="par_id3165429" xml-lang="en-US" l10n="E">
372<image id="img_id3165436" src="starmath/res/fu21513.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165436" xml-lang="en-US">Icon</alt>
373	</image></paragraph>
374</tablecell>
375<tablecell colspan="" rowspan="">
376<paragraph role="tablecontent" id="par_id3165549" xml-lang="en-US" l10n="U" oldref="190">Hyperbolic sine</paragraph>
377</tablecell>
378</tablerow>
379<tablerow>
380<tablecell colspan="" rowspan="">
381<paragraph role="tablecontent" id="par_idN11AA8" xml-lang="en-US" l10n="NEW" localize="false">
382<item type="literal">sqrt</item>
383</paragraph>
384</tablecell>
385<tablecell colspan="" rowspan="">
386<paragraph role="tablecontent" id="par_id3152091" xml-lang="en-US" l10n="E">
387<image id="img_id3152097" src="starmath/res/fu21503.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152097" xml-lang="en-US">Icon</alt>
388	</image></paragraph>
389</tablecell>
390<tablecell colspan="" rowspan="">
391<paragraph role="tablecontent" id="par_id3152211" xml-lang="en-US" l10n="U" oldref="20">Square root</paragraph>
392</tablecell>
393</tablerow>
394<tablerow>
395<tablecell colspan="" rowspan="">
396<paragraph role="tablecontent" id="par_idN11EDE" xml-lang="en-US" l10n="NEW" localize="false">
397<item type="literal">sub</item>
398</paragraph>
399</tablecell>
400<tablecell colspan="" rowspan=""/>
401<tablecell colspan="" rowspan="">
402<paragraph role="tablecontent" id="par_id3143914" xml-lang="en-US" l10n="U" oldref="130">x with subscript n</paragraph>
403</tablecell>
404</tablerow>
405<tablerow>
406<tablecell colspan="" rowspan="">
407<paragraph role="tablecontent" id="par_idN11963" xml-lang="en-US" l10n="NEW" localize="false">
408<item type="literal">sup</item>
409</paragraph>
410</tablecell>
411<tablecell colspan="" rowspan="">
412<paragraph role="tablecontent" id="par_id3157368" xml-lang="en-US" l10n="E">
413<image id="img_id3157375" src="starmath/res/fu21908.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157375" xml-lang="en-US">Icon</alt>
414	</image></paragraph>
415</tablecell>
416<tablecell colspan="" rowspan="">
417<paragraph role="tablecontent" id="par_id3151476" xml-lang="en-US" l10n="U" oldref="132">n-th power of x</paragraph>
418</tablecell>
419</tablerow>
420<tablerow>
421<tablecell colspan="" rowspan="">
422<paragraph role="tablecontent" id="par_idN11A26" xml-lang="en-US" l10n="NEW" localize="false">
423<item type="literal">tan</item>
424</paragraph>
425</tablecell>
426<tablecell colspan="" rowspan="">
427<paragraph role="tablecontent" id="par_id3151796" xml-lang="en-US" l10n="E">
428<image id="img_id3151803" src="starmath/res/fu21511.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151803" xml-lang="en-US">Icon</alt>
429	</image></paragraph>
430</tablecell>
431<tablecell colspan="" rowspan="">
432<paragraph role="tablecontent" id="par_id3151917" xml-lang="en-US" l10n="U" oldref="178">Tangent</paragraph>
433</tablecell>
434</tablerow>
435<tablerow>
436<tablecell colspan="" rowspan="">
437<paragraph role="tablecontent" id="par_idN11CB2" xml-lang="en-US" l10n="NEW" localize="false">
438<item type="literal">tanh</item>
439</paragraph>
440</tablecell>
441<tablecell colspan="" rowspan="">
442<paragraph role="tablecontent" id="par_id3165723" xml-lang="en-US" l10n="E">
443<image id="img_id3165730" src="starmath/res/fu21515.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165730" xml-lang="en-US">Icon</alt>
444	</image></paragraph>
445</tablecell>
446<tablecell colspan="" rowspan="">
447<paragraph role="tablecontent" id="par_id3165844" xml-lang="en-US" l10n="U" oldref="194">Hyperbolic tangent</paragraph>
448</tablecell>
449</tablerow>
450</table>
451<section id="relatedtopics">
452<embed href="text/smath/01/03090400.xhp#funktionen"/>
453<embed href="text/smath/01/03091500.xhp#reference"/>
454</section>
455</body>
456</helpdocument>
457