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23
24<helpdocument version="1.0">
25<meta>
26<topic id="textsmath0103091504xml" indexer="include" status="PUBLISH">
27<title id="tit" xml-lang="en-US">Functions</title>
28<filename>/text/smath/01/03091504.xhp</filename>
29</topic>
30</meta>
31<body>
32<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"><bookmark_value>functions operators;list of</bookmark_value>
33</bookmark>
34<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>
35</variable></paragraph>
36<table id="tbl_id3156638" class="list">
37<tablerow>
38<tablecell colspan="" rowspan="">
39<paragraph role="tablehead" id="par_idN11838" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph>
40</tablecell>
41<tablecell colspan="" rowspan="">
42<paragraph role="tablehead" id="par_id3156681" xml-lang="en-US" l10n="U" oldref="481">Symbol in Elements Window</paragraph>
43</tablecell>
44<tablecell colspan="" rowspan="">
45<paragraph role="tablehead" id="par_id3156750" xml-lang="en-US" l10n="U" oldref="483">Meaning</paragraph>
46</tablecell>
47</tablerow>
48<tablerow>
49<tablecell colspan="" rowspan="">
50<paragraph role="tablecontent" id="par_idN11D34" xml-lang="en-US" l10n="NEW" localize="false">
51<item type="literal">abs</item>
52</paragraph>
53</tablecell>
54<tablecell colspan="" rowspan="">
55<paragraph role="tablecontent" id="par_id3166018" xml-lang="en-US" l10n="E">
56<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>
57</image></paragraph>
58</tablecell>
59<tablecell colspan="" rowspan="">
60<paragraph role="tablecontent" id="par_id3166138" xml-lang="en-US" l10n="U" oldref="16">Absolute amount</paragraph>
61</tablecell>
62</tablerow>
63<tablerow>
64<tablecell colspan="" rowspan="">
65<paragraph role="tablecontent" id="par_idN11B2C" xml-lang="en-US" l10n="NEW" localize="false">
66<item type="literal">arccos</item>
67</paragraph>
68</tablecell>
69<tablecell colspan="" rowspan="">
70<paragraph role="tablecontent" id="par_id3164840" xml-lang="en-US" l10n="E">
71<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>
72</image></paragraph>
73</tablecell>
74<tablecell colspan="" rowspan="">
75<paragraph role="tablecontent" id="par_id3164961" xml-lang="en-US" l10n="U" oldref="184">Inverse cosine or arccosine</paragraph>
76</tablecell>
77</tablerow>
78<tablerow>
79<tablecell colspan="" rowspan="">
80<paragraph role="tablecontent" id="par_idN11BAE" xml-lang="en-US" l10n="NEW" localize="false">
81<item type="literal">arccot</item>
82</paragraph>
83</tablecell>
84<tablecell colspan="" rowspan="">
85<paragraph role="tablecontent" id="par_id3165134" xml-lang="en-US" l10n="E">
86<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>
87</image></paragraph>
88</tablecell>
89<tablecell colspan="" rowspan="">
90<paragraph role="tablecontent" id="par_id3165255" xml-lang="en-US" l10n="U" oldref="188">Inverse cotangent or arccotangent</paragraph>
91</tablecell>
92</tablerow>
93<tablerow>
94<tablecell colspan="" rowspan="">
95<paragraph role="tablecontent" id="par_idN11DB6" xml-lang="en-US" l10n="NEW" localize="false">
96<item type="literal">arcosh</item>
97</paragraph>
98</tablecell>
99<tablecell colspan="" rowspan="">
100<paragraph role="tablecontent" id="par_id3166312" xml-lang="en-US" l10n="E">
101<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>
102</image></paragraph>
103</tablecell>
104<tablecell colspan="" rowspan="">
105<paragraph role="tablecontent" id="par_id3166432" xml-lang="en-US" l10n="U" oldref="200">Inverse hyperbolic cosine</paragraph>
106</tablecell>
107</tablerow>
108<tablerow>
109<tablecell colspan="" rowspan="">
110<paragraph role="tablecontent" id="par_idN11E3A" xml-lang="en-US" l10n="NEW" localize="false">
111<item type="literal">arcoth</item>
112</paragraph>
113</tablecell>
114<tablecell colspan="" rowspan="">
115<paragraph role="tablecontent" id="par_id3143430" xml-lang="en-US" l10n="E">
116<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>
117</image></paragraph>
118</tablecell>
119<tablecell colspan="" rowspan="">
120<paragraph role="tablecontent" id="par_id3143550" xml-lang="en-US" l10n="U" oldref="204">Inverse hyperbolic cotangent</paragraph>
121</tablecell>
122</tablerow>
123<tablerow>
124<tablecell colspan="" rowspan="">
125<paragraph role="tablecontent" id="par_idN11AE9" xml-lang="en-US" l10n="NEW" localize="false">
126<item type="literal">arcsin</item>
127</paragraph>
128</tablecell>
129<tablecell colspan="" rowspan="">
130<paragraph role="tablecontent" id="par_id3152238" xml-lang="en-US" l10n="E">
131<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>
132</image></paragraph>
133</tablecell>
134<tablecell colspan="" rowspan="">
135<paragraph role="tablecontent" id="par_id3152358" xml-lang="en-US" l10n="U" oldref="182">Inverse sine or arcsine</paragraph>
136</tablecell>
137</tablerow>
138<tablerow>
139<tablecell colspan="" rowspan="">
140<paragraph role="tablecontent" id="par_idN11B6D" xml-lang="en-US" l10n="NEW" localize="false">
141<item type="literal">arctan</item>
142</paragraph>
143</tablecell>
144<tablecell colspan="" rowspan="">
145<paragraph role="tablecontent" id="par_id3164987" xml-lang="en-US" l10n="E">
146<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>
147</image></paragraph>
148</tablecell>
149<tablecell colspan="" rowspan="">
150<paragraph role="tablecontent" id="par_id3165108" xml-lang="en-US" l10n="U" oldref="186">Inverse tangent or arctangent</paragraph>
151</tablecell>
152</tablerow>
153<tablerow>
154<tablecell colspan="" rowspan="">
155<paragraph role="tablecontent" id="par_idN11D75" xml-lang="en-US" l10n="NEW" localize="false">
156<item type="literal">arsinh</item>
157</paragraph>
158</tablecell>
159<tablecell colspan="" rowspan="">
160<paragraph role="tablecontent" id="par_id3166165" xml-lang="en-US" l10n="E">
161<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>
162</image></paragraph>
163</tablecell>
164<tablecell colspan="" rowspan="">
165<paragraph role="tablecontent" id="par_id3166285" xml-lang="en-US" l10n="U" oldref="198">Inverse hyperbolic sine</paragraph>
166</tablecell>
167</tablerow>
168<tablerow>
169<tablecell colspan="" rowspan="">
170<paragraph role="tablecontent" id="par_idN11DF9" xml-lang="en-US" l10n="NEW" localize="false">
171<item type="literal">artanh</item>
172</paragraph>
173</tablecell>
174<tablecell colspan="" rowspan="">
175<paragraph role="tablecontent" id="par_id3166459" xml-lang="en-US" l10n="E">
176<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>
177</image></paragraph>
178</tablecell>
179<tablecell colspan="" rowspan="">
180<paragraph role="tablecontent" id="par_id3143403" xml-lang="en-US" l10n="U" oldref="202">Inverse hyperbolic tangent</paragraph>
181</tablecell>
182</tablerow>
183<tablerow>
184<tablecell colspan="" rowspan="">
185<paragraph role="tablecontent" id="par_idN11EBC" xml-lang="en-US" l10n="NEW" localize="false">
186<item type="literal">backepsilon</item>
187</paragraph>
188</tablecell>
189<tablecell colspan="" rowspan=""/>
190<tablecell colspan="" rowspan="">
191<paragraph role="tablecontent" id="par_id3143805" xml-lang="en-US" l10n="U" oldref="216">Back epsilon</paragraph>
192</tablecell>
193</tablerow>
194<tablerow>
195<tablecell colspan="" rowspan="">
196<paragraph role="tablecontent" id="par_idN119E5" xml-lang="en-US" l10n="NEW" localize="false">
197<item type="literal">cos</item>
198</paragraph>
199</tablecell>
200<tablecell colspan="" rowspan="">
201<paragraph role="tablecontent" id="par_id3151649" xml-lang="en-US" l10n="E">
202<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>
203</image></paragraph>
204</tablecell>
205<tablecell colspan="" rowspan="">
206<paragraph role="tablecontent" id="par_id3151770" xml-lang="en-US" l10n="U" oldref="176">Cosine</paragraph>
207</tablecell>
208</tablerow>
209<tablerow>
210<tablecell colspan="" rowspan="">
211<paragraph role="tablecontent" id="par_idN11C71" xml-lang="en-US" l10n="NEW" localize="false">
212<item type="literal">cosh</item>
213</paragraph>
214</tablecell>
215<tablecell colspan="" rowspan="">
216<paragraph role="tablecontent" id="par_id3165576" xml-lang="en-US" l10n="E">
217<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>
218</image></paragraph>
219</tablecell>
220<tablecell colspan="" rowspan="">
221<paragraph role="tablecontent" id="par_id3165696" xml-lang="en-US" l10n="U" oldref="192">Hyperbolic cosine</paragraph>
222</tablecell>
223</tablerow>
224<tablerow>
225<tablecell colspan="" rowspan="">
226<paragraph role="tablecontent" id="par_idN11A67" xml-lang="en-US" l10n="NEW" localize="false">
227<item type="literal">cot</item>
228</paragraph>
229</tablecell>
230<tablecell colspan="" rowspan="">
231<paragraph role="tablecontent" id="par_id3151944" xml-lang="en-US" l10n="E">
232<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>
233</image></paragraph>
234</tablecell>
235<tablecell colspan="" rowspan="">
236<paragraph role="tablecontent" id="par_id3152064" xml-lang="en-US" l10n="U" oldref="180">Cotangent</paragraph>
237</tablecell>
238</tablerow>
239<tablerow>
240<tablecell colspan="" rowspan="">
241<paragraph role="tablecontent" id="par_idN11CF3" xml-lang="en-US" l10n="NEW" localize="false">
242<item type="literal">coth</item>
243</paragraph>
244</tablecell>
245<tablecell colspan="" rowspan="">
246<paragraph role="tablecontent" id="par_id3165871" xml-lang="en-US" l10n="E">
247<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>
248</image></paragraph>
249</tablecell>
250<tablecell colspan="" rowspan="">
251<paragraph role="tablecontent" id="par_id3165991" xml-lang="en-US" l10n="U" oldref="196">Hyperbolic cotangent</paragraph>
252</tablecell>
253</tablerow>
254<tablerow>
255<tablecell colspan="" rowspan="">
256<paragraph role="tablecontent" id="par_idN118E1" xml-lang="en-US" l10n="NEW" localize="false">
257<item type="literal">exp</item>
258</paragraph>
259</tablecell>
260<tablecell colspan="" rowspan="">
261<paragraph role="tablecontent" id="par_id3157074" xml-lang="en-US" l10n="E">
262<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>
263</image></paragraph>
264</tablecell>
265<tablecell colspan="" rowspan="">
266<paragraph role="tablecontent" id="par_id3157194" xml-lang="en-US" l10n="U" oldref="206">General exponential function</paragraph>
267</tablecell>
268</tablerow>
269<tablerow>
270<tablecell colspan="" rowspan="">
271<paragraph role="tablecontent" id="par_idN11E7B" xml-lang="en-US" l10n="NEW" localize="false">
272<item type="literal">fact</item>
273</paragraph>
274</tablecell>
275<tablecell colspan="" rowspan="">
276<paragraph role="tablecontent" id="par_id3143577" xml-lang="en-US" l10n="E">
277<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>
278</image></paragraph>
279</tablecell>
280<tablecell colspan="" rowspan="">
281<paragraph role="tablecontent" id="par_id3143698" xml-lang="en-US" l10n="U" oldref="18">Factorial</paragraph>
282</tablecell>
283</tablerow>
284<tablerow>
285<tablecell colspan="" rowspan="">
286<paragraph role="tablecontent" id="par_idN1185F" xml-lang="en-US" l10n="NEW" localize="false">
287<item type="literal">func e^{}</item>
288</paragraph>
289</tablecell>
290<tablecell colspan="" rowspan="">
291<paragraph role="tablecontent" id="par_id3156780" xml-lang="en-US" l10n="E">
292<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>
293</image></paragraph>
294</tablecell>
295<tablecell colspan="" rowspan="">
296<paragraph role="tablecontent" id="par_id3156900" xml-lang="en-US" l10n="U" oldref="212">Natural exponential function</paragraph>
297</tablecell>
298</tablerow>
299<tablerow>
300<tablecell colspan="" rowspan="">
301<paragraph role="tablecontent" id="par_idN118A0" xml-lang="en-US" l10n="NEW" localize="false">
302<item type="literal">ln</item>
303</paragraph>
304</tablecell>
305<tablecell colspan="" rowspan="">
306<paragraph role="tablecontent" id="par_id3156927" xml-lang="en-US" l10n="E">
307<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>
308</image></paragraph>
309</tablecell>
310<tablecell colspan="" rowspan="">
311<paragraph role="tablecontent" id="par_id3157048" xml-lang="en-US" l10n="U" oldref="208">Natural logarithm</paragraph>
312</tablecell>
313</tablerow>
314<tablerow>
315<tablecell colspan="" rowspan="">
316<paragraph role="tablecontent" id="par_idN11922" xml-lang="en-US" l10n="NEW" localize="false">
317<item type="literal">log</item>
318</paragraph>
319</tablecell>
320<tablecell colspan="" rowspan="">
321<paragraph role="tablecontent" id="par_id3157220" xml-lang="en-US" l10n="E">
322<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>
323</image></paragraph>
324</tablecell>
325<tablecell colspan="" rowspan="">
326<paragraph role="tablecontent" id="par_id3157341" xml-lang="en-US" l10n="U" oldref="210">General logarithm</paragraph>
327</tablecell>
328</tablerow>
329<tablerow>
330<tablecell colspan="" rowspan="">
331<paragraph role="tablecontent" id="par_idN11BEF" xml-lang="en-US" l10n="NEW" localize="false">
332<item type="literal">nroot</item>
333</paragraph>
334</tablecell>
335<tablecell colspan="" rowspan="">
336<paragraph role="tablecontent" id="par_id3165282" xml-lang="en-US" l10n="E">
337<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>
338</image></paragraph>
339</tablecell>
340<tablecell colspan="" rowspan="">
341<paragraph role="tablecontent" id="par_id3165402" xml-lang="en-US" l10n="U" oldref="22">n-th root of x</paragraph>
342</tablecell>
343</tablerow>
344<tablerow>
345<tablecell colspan="" rowspan="">
346<paragraph role="tablecontent" id="par_idN119A4" xml-lang="en-US" l10n="NEW" localize="false">
347<item type="literal">sin</item>
348</paragraph>
349</tablecell>
350<tablecell colspan="" rowspan="">
351<paragraph role="tablecontent" id="par_id3151502" xml-lang="en-US" l10n="E">
352<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>
353</image></paragraph>
354</tablecell>
355<tablecell colspan="" rowspan="">
356<paragraph role="tablecontent" id="par_id3151623" xml-lang="en-US" l10n="U" oldref="174">Sine</paragraph>
357</tablecell>
358</tablerow>
359<tablerow>
360<tablecell colspan="" rowspan="">
361<paragraph role="tablecontent" id="par_idN11C30" xml-lang="en-US" l10n="NEW" localize="false">
362<item type="literal">sinh</item>
363</paragraph>
364</tablecell>
365<tablecell colspan="" rowspan="">
366<paragraph role="tablecontent" id="par_id3165429" xml-lang="en-US" l10n="E">
367<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>
368</image></paragraph>
369</tablecell>
370<tablecell colspan="" rowspan="">
371<paragraph role="tablecontent" id="par_id3165549" xml-lang="en-US" l10n="U" oldref="190">Hyperbolic sine</paragraph>
372</tablecell>
373</tablerow>
374<tablerow>
375<tablecell colspan="" rowspan="">
376<paragraph role="tablecontent" id="par_idN11AA8" xml-lang="en-US" l10n="NEW" localize="false">
377<item type="literal">sqrt</item>
378</paragraph>
379</tablecell>
380<tablecell colspan="" rowspan="">
381<paragraph role="tablecontent" id="par_id3152091" xml-lang="en-US" l10n="E">
382<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>
383</image></paragraph>
384</tablecell>
385<tablecell colspan="" rowspan="">
386<paragraph role="tablecontent" id="par_id3152211" xml-lang="en-US" l10n="U" oldref="20">Square root</paragraph>
387</tablecell>
388</tablerow>
389<tablerow>
390<tablecell colspan="" rowspan="">
391<paragraph role="tablecontent" id="par_idN11EDE" xml-lang="en-US" l10n="NEW" localize="false">
392<item type="literal">sub</item>
393</paragraph>
394</tablecell>
395<tablecell colspan="" rowspan=""/>
396<tablecell colspan="" rowspan="">
397<paragraph role="tablecontent" id="par_id3143914" xml-lang="en-US" l10n="U" oldref="130">x with subscript n</paragraph>
398</tablecell>
399</tablerow>
400<tablerow>
401<tablecell colspan="" rowspan="">
402<paragraph role="tablecontent" id="par_idN11963" xml-lang="en-US" l10n="NEW" localize="false">
403<item type="literal">sup</item>
404</paragraph>
405</tablecell>
406<tablecell colspan="" rowspan="">
407<paragraph role="tablecontent" id="par_id3157368" xml-lang="en-US" l10n="E">
408<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>
409</image></paragraph>
410</tablecell>
411<tablecell colspan="" rowspan="">
412<paragraph role="tablecontent" id="par_id3151476" xml-lang="en-US" l10n="U" oldref="132">n-th power of x</paragraph>
413</tablecell>
414</tablerow>
415<tablerow>
416<tablecell colspan="" rowspan="">
417<paragraph role="tablecontent" id="par_idN11A26" xml-lang="en-US" l10n="NEW" localize="false">
418<item type="literal">tan</item>
419</paragraph>
420</tablecell>
421<tablecell colspan="" rowspan="">
422<paragraph role="tablecontent" id="par_id3151796" xml-lang="en-US" l10n="E">
423<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>
424</image></paragraph>
425</tablecell>
426<tablecell colspan="" rowspan="">
427<paragraph role="tablecontent" id="par_id3151917" xml-lang="en-US" l10n="U" oldref="178">Tangent</paragraph>
428</tablecell>
429</tablerow>
430<tablerow>
431<tablecell colspan="" rowspan="">
432<paragraph role="tablecontent" id="par_idN11CB2" xml-lang="en-US" l10n="NEW" localize="false">
433<item type="literal">tanh</item>
434</paragraph>
435</tablecell>
436<tablecell colspan="" rowspan="">
437<paragraph role="tablecontent" id="par_id3165723" xml-lang="en-US" l10n="E">
438<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>
439</image></paragraph>
440</tablecell>
441<tablecell colspan="" rowspan="">
442<paragraph role="tablecontent" id="par_id3165844" xml-lang="en-US" l10n="U" oldref="194">Hyperbolic tangent</paragraph>
443</tablecell>
444</tablerow>
445</table>
446<section id="relatedtopics">
447<embed href="text/smath/01/03090400.xhp#funktionen"/>
448<embed href="text/smath/01/03091500.xhp#reference"/>
449</section>
450</body>
451</helpdocument>
452