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23
24<helpdocument version="1.0">
25<meta>
26<topic id="textsmath0103090400xml" indexer="include" status="PUBLISH">
27<title id="tit" xml-lang="en-US">Functions</title>
28<filename>/text/smath/01/03090400.xhp</filename>
29</topic>
30</meta>
31<body>
32<section id="funktionen">
33<bookmark xml-lang="en-US" branch="index" id="bm_id3150932"><bookmark_value>functions; in $[officename] Math</bookmark_value>
34<bookmark_value>natural exponential functions</bookmark_value>
35<bookmark_value>natural logarithms</bookmark_value>
36<bookmark_value>exponential functions</bookmark_value>
37<bookmark_value>logarithms</bookmark_value>
38<bookmark_value>variables; with right exponents</bookmark_value>
39<bookmark_value>exponents; variables with right</bookmark_value>
40<bookmark_value>trigonometrical functions</bookmark_value>
41<bookmark_value>sine function</bookmark_value>
42<bookmark_value>cosine function</bookmark_value>
43<bookmark_value>cotangent function</bookmark_value>
44<bookmark_value>hyperbolic sine function</bookmark_value>
45<bookmark_value>square roots</bookmark_value>
46<bookmark_value>hyperbolic cosine function</bookmark_value>
47<bookmark_value>hyperbolic tangent function</bookmark_value>
48<bookmark_value>hyperbolic cotangent function</bookmark_value>
49<bookmark_value>roots</bookmark_value>
50<bookmark_value>arc sine function</bookmark_value>
51<bookmark_value>arc cosine function</bookmark_value>
52<bookmark_value>arc cotangent function</bookmark_value>
53<bookmark_value>absolute values</bookmark_value>
54<bookmark_value>area hyperbolic cosine function</bookmark_value>
55<bookmark_value>area hyperbolic tangent function</bookmark_value>
56<bookmark_value>area hyperbolic cotangent function</bookmark_value>
57<bookmark_value>factorial</bookmark_value>
58<bookmark_value>values; absolute</bookmark_value>
59<bookmark_value>tangent function</bookmark_value>
60</bookmark>
61<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_FUNCTIONS_TBX" id="bm_id3150571" localize="false"/>
62<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_FUNCTIONS_CAT" id="bm_id3149024" localize="false"/>
63<paragraph role="heading" id="hd_id3150932" xml-lang="en-US" level="1" l10n="U" oldref="1"><link href="text/smath/01/03090400.xhp" name="Functions">Functions</link></paragraph>
64<paragraph role="paragraph" id="par_id3155374" xml-lang="en-US" l10n="U" oldref="2"><ahelp hid="HID_SMA_FUNCTIONS_CAT">Choose a function in the lower part of the window.</ahelp> These functions are also listed in the <link href="text/shared/00/00000001.xhp#kontextmenue" name="context menu">context menu</link> of the <emph>Commands</emph> window. Any functions not contained in the Elements window need to be typed manually in the Commands window.</paragraph>
65</section>
66<section id="howtoget">
67<embed href="text/smath/00/00000004.xhp#astofu"/>
68</section>
69<paragraph role="paragraph" id="par_id3150760" xml-lang="en-US" l10n="U" oldref="3">The following is a list of all functions that appear in the <emph>Elements</emph> window. The icon next to the function indicates that it can be accessed through the Elements window (menu View - Elements) or through the context menu of the <emph>Commands</emph> window.</paragraph>
70<paragraph role="heading" id="hd_id3156319" xml-lang="en-US" level="3" l10n="U" oldref="4">List of functions</paragraph>
71<table id="tbl_id3145209">
72<tablerow>
73<tablecell colspan="" rowspan="">
74<paragraph role="paragraph" id="par_idN10081" xml-lang="en-US" l10n="F">
75<image id="img_id3153154" src="starmath/res/fu21505.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153154" xml-lang="en-US">Icon</alt>
76</image></paragraph>
77<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_EX" id="bm_id3149287" localize="false"/>
78</tablecell>
79<tablecell colspan="" rowspan="">
80<paragraph role="tablehead" id="par_id3149750" xml-lang="en-US" l10n="U" oldref="44">Natural Exponential Function</paragraph>
81<paragraph role="paragraph" id="par_id3147254" xml-lang="en-US" l10n="U" oldref="43"><ahelp hid="HID_SMA_EX">Inserts a natural exponential function.</ahelp> You can also type <emph>func e^&lt;?&gt;</emph> directly in the <emph>Commands</emph> window.</paragraph>
82</tablecell>
83</tablerow>
84</table>
85<table id="tbl_id3145416">
86<tablerow>
87<tablecell colspan="" rowspan="">
88<paragraph role="paragraph" id="par_idN100BC" xml-lang="en-US" l10n="F">
89<image id="img_id3147507" src="starmath/res/fu21506.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3147507" xml-lang="en-US">Icon</alt>
90</image></paragraph>
91<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_LNX" id="bm_id3154096" localize="false"/>
92</tablecell>
93<tablecell colspan="" rowspan="">
94<paragraph role="tablehead" id="par_id3154104" xml-lang="en-US" l10n="U" oldref="27">Natural Logarithm</paragraph>
95<paragraph role="paragraph" id="par_id3152947" xml-lang="en-US" l10n="U" oldref="45"><ahelp hid="HID_SMA_LNX">Inserts a natural (base e) logarithm with one placeholder.</ahelp> You can also type <emph>ln(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
96</tablecell>
97</tablerow>
98</table>
99<table id="tbl_id3153780">
100<tablerow>
101<tablecell colspan="" rowspan="">
102<paragraph role="paragraph" id="par_idN100F7" xml-lang="en-US" l10n="F">
103<image id="img_id3154574" src="starmath/res/fu21507.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154574" xml-lang="en-US">Icon</alt>
104</image></paragraph>
105<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_EXPX" id="bm_id3152958" localize="false"/>
106</tablecell>
107<tablecell colspan="" rowspan="">
108<paragraph role="tablehead" id="par_id3150972" xml-lang="en-US" l10n="U" oldref="47">Exponential Function</paragraph>
109<paragraph role="paragraph" id="par_id3151309" xml-lang="en-US" l10n="U" oldref="46"><ahelp hid="HID_SMA_EXPX">Inserts an exponential function with one placeholder.</ahelp> You can also type <emph>exp(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
110</tablecell>
111</tablerow>
112</table>
113<table id="tbl_id3147531">
114<tablerow>
115<tablecell colspan="" rowspan="">
116<paragraph role="paragraph" id="par_idN10132" xml-lang="en-US" l10n="F">
117<image id="img_id3149687" src="starmath/res/fu21508.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149687" xml-lang="en-US">Icon</alt>
118</image></paragraph>
119<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_LOGX" id="bm_id3154198" localize="false"/>
120</tablecell>
121<tablecell colspan="" rowspan="">
122<paragraph role="tablehead" id="par_id3146925" xml-lang="en-US" l10n="U" oldref="29">Logarithm</paragraph>
123<paragraph role="paragraph" id="par_id3159190" xml-lang="en-US" l10n="U" oldref="48"><ahelp hid="HID_SMA_LOGX">Inserts a common (base 10) logarithm with one placeholder.</ahelp> You can also type <emph>log(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
124</tablecell>
125</tablerow>
126</table>
127<table id="tbl_id3149299">
128<tablerow>
129<tablecell colspan="" rowspan="">
130<paragraph role="paragraph" id="par_id3149483" xml-lang="en-US" l10n="E">
131<image id="img_id3149490" src="starmath/res/fu21908.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149490" xml-lang="en-US">Icon</alt>
132</image></paragraph>
133</tablecell>
134<tablecell colspan="" rowspan="">
135<paragraph role="tablehead" id="par_id3149819" xml-lang="en-US" l10n="U" oldref="71">Power</paragraph><comment>UFI: removed help id</comment>
136<paragraph role="paragraph" id="par_id3151250" xml-lang="en-US" l10n="U" oldref="70"><ahelp hid=".">Inserts x raised to the yth power.</ahelp> You can also type <emph>&lt;?&gt;^{&lt;?&gt;}</emph> in the <emph>Commands</emph> window. You can replace the <emph>^</emph> character with <emph>rsup</emph> or <emph>sup</emph>.</paragraph>
137</tablecell>
138</tablerow>
139</table>
140<table id="tbl_id3147222">
141<tablerow>
142<tablecell colspan="" rowspan="">
143<paragraph role="paragraph" id="par_idN101B1" xml-lang="en-US" l10n="F">
144<image id="img_id3149043" src="starmath/res/fu21509.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149043" xml-lang="en-US">Icon</alt>
145</image></paragraph>
146<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SINX" id="bm_id3147575" localize="false"/>
147</tablecell>
148<tablecell colspan="" rowspan="">
149<paragraph role="tablehead" id="par_id3152774" xml-lang="en-US" l10n="U" oldref="5">Sine</paragraph>
150<paragraph role="paragraph" id="par_id3147325" xml-lang="en-US" l10n="U" oldref="49"><ahelp hid="HID_SMA_SINX">Inserts a sine function with one placeholder.</ahelp> You can also type <emph>sin(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
151</tablecell>
152</tablerow>
153</table>
154<table id="tbl_id3147070">
155<tablerow>
156<tablecell colspan="" rowspan="">
157<paragraph role="paragraph" id="par_idN101EA" xml-lang="en-US" l10n="F">
158<image id="img_id3147139" src="starmath/res/fu21510.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3147139" xml-lang="en-US">Icon</alt>
159</image></paragraph>
160<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_COSX" id="bm_id3153360" localize="false"/>
161</tablecell>
162<tablecell colspan="" rowspan="">
163<paragraph role="tablehead" id="par_id3150581" xml-lang="en-US" l10n="U" oldref="7">Cosine</paragraph>
164<paragraph role="paragraph" id="par_id3151027" xml-lang="en-US" l10n="U" oldref="50"><ahelp hid="HID_SMA_COSX">Inserts a cosine function with one placeholder.</ahelp> You can also type <emph>cos(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
165</tablecell>
166</tablerow>
167</table>
168<table id="tbl_id3154925">
169<tablerow>
170<tablecell colspan="" rowspan="">
171<paragraph role="paragraph" id="par_idN10223" xml-lang="en-US" l10n="F">
172<image id="img_id3148759" src="starmath/res/fu21511.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3148759" xml-lang="en-US">Icon</alt>
173</image></paragraph>
174<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_TANX" id="bm_id3145781" localize="false"/>
175</tablecell>
176<tablecell colspan="" rowspan="">
177<paragraph role="tablehead" id="par_id3156366" xml-lang="en-US" l10n="U" oldref="9">Tangent</paragraph>
178<paragraph role="paragraph" id="par_id3156379" xml-lang="en-US" l10n="U" oldref="51"><ahelp hid="HID_SMA_TANX">Inserts a tangent function with one placeholder.</ahelp> You can also type <emph>tan&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
179</tablecell>
180</tablerow>
181</table>
182<table id="tbl_id3148880">
183<tablerow>
184<tablecell colspan="" rowspan="">
185<paragraph role="paragraph" id="par_idN1025C" xml-lang="en-US" l10n="F">
186<image id="img_id3149536" src="starmath/res/fu21512.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149536" xml-lang="en-US">Icon</alt>
187</image></paragraph>
188<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_COTX" id="bm_id3155857" localize="false"/>
189</tablecell>
190<tablecell colspan="" rowspan="">
191<paragraph role="tablehead" id="par_id3155867" xml-lang="en-US" l10n="U" oldref="11">Cotangent</paragraph>
192<paragraph role="paragraph" id="par_id3150691" xml-lang="en-US" l10n="U" oldref="52"><ahelp hid="HID_SMA_COTX">Inserts a cotangent symbol with a placeholder.</ahelp> You can also type <emph>cot(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
193</tablecell>
194</tablerow>
195</table>
196<table id="tbl_id3147485">
197<tablerow>
198<tablecell colspan="" rowspan="">
199<paragraph role="paragraph" id="par_idN10295" xml-lang="en-US" l10n="F">
200<image id="img_id3147499" src="starmath/res/fu21513.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3147499" xml-lang="en-US">Icon</alt>
201</image></paragraph>
202<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SINHX" id="bm_id3149560" localize="false"/>
203</tablecell>
204<tablecell colspan="" rowspan="">
205<paragraph role="tablehead" id="par_id3145119" xml-lang="en-US" l10n="U" oldref="72">Hyperbolic Sine</paragraph>
206<paragraph role="paragraph" id="par_id3145132" xml-lang="en-US" l10n="U" oldref="53"><ahelp hid="HID_SMA_SINHX">Inserts a hyperbolic sine with one placeholder.</ahelp> You can also type <emph>sinh(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
207</tablecell>
208</tablerow>
209</table>
210<table id="tbl_id3153491">
211<tablerow>
212<tablecell colspan="" rowspan="">
213<paragraph role="paragraph" id="par_idN102CE" xml-lang="en-US" l10n="F">
214<image id="img_id3168610" src="starmath/res/fu21503.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3168610" xml-lang="en-US">Icon</alt>
215</image></paragraph>
216<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SQRTX" id="bm_id3149224" localize="false"/>
217</tablecell>
218<tablecell colspan="" rowspan="">
219<paragraph role="tablehead" id="par_id3147734" xml-lang="en-US" l10n="U" oldref="17">Square Root</paragraph>
220<paragraph role="paragraph" id="par_id3147746" xml-lang="en-US" l10n="U" oldref="41"><ahelp hid="HID_SMA_SQRTX">Inserts a square root symbol with one placeholder.</ahelp> You can also type <emph>sqrt(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
221</tablecell>
222</tablerow>
223</table>
224<table id="tbl_id3155776">
225<tablerow>
226<tablecell colspan="" rowspan="">
227<paragraph role="paragraph" id="par_idN10309" xml-lang="en-US" l10n="F">
228<image id="img_id3147608" src="starmath/res/fu21514.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3147608" xml-lang="en-US">Icon</alt>
229</image></paragraph>
230<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_COSHX" id="bm_id3149842" localize="false"/>
231</tablecell>
232<tablecell colspan="" rowspan="">
233<paragraph role="tablehead" id="par_id3148846" xml-lang="en-US" l10n="U" oldref="73">Hyperbolic Cosine</paragraph>
234<paragraph role="paragraph" id="par_id3148857" xml-lang="en-US" l10n="U" oldref="54"><ahelp hid="HID_SMA_COSHX">Inserts a hyperbolic cosine symbol with one placeholder.</ahelp> You can also type <emph>cosh(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
235</tablecell>
236</tablerow>
237</table>
238<table id="tbl_id3147068">
239<tablerow>
240<tablecell colspan="" rowspan="">
241<paragraph role="paragraph" id="par_idN10342" xml-lang="en-US" l10n="F">
242<image id="img_id3151087" src="starmath/res/fu21515.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151087" xml-lang="en-US">Icon</alt>
243</image></paragraph>
244<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_TANHX" id="bm_id3154079" localize="false"/>
245</tablecell>
246<tablecell colspan="" rowspan="">
247<paragraph role="tablehead" id="par_id3154088" xml-lang="en-US" l10n="U" oldref="74">Hyperbolic Tangent</paragraph>
248<paragraph role="paragraph" id="par_id3153791" xml-lang="en-US" l10n="U" oldref="55"><ahelp hid="HID_SMA_TANHX">Inserts a hyperbolic tangent symbol with one placeholder.</ahelp> You can also type <emph>tanh(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
249</tablecell>
250</tablerow>
251</table>
252<table id="tbl_id3154588">
253<tablerow>
254<tablecell colspan="" rowspan="">
255<paragraph role="paragraph" id="par_idN1037C" xml-lang="en-US" l10n="F">
256<image id="img_id3151112" src="starmath/res/fu21516.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151112" xml-lang="en-US">Icon</alt>
257</image></paragraph>
258<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_COTHX" id="bm_id3153304" localize="false"/>
259</tablecell>
260<tablecell colspan="" rowspan="">
261<paragraph role="tablehead" id="par_id3156119" xml-lang="en-US" l10n="U" oldref="75">Hyperbolic Cotangent</paragraph>
262<paragraph role="paragraph" id="par_id3156131" xml-lang="en-US" l10n="U" oldref="56"><ahelp hid="HID_SMA_COTHX">Inserts a hyperbolic cotangent symbol with one placeholder.</ahelp> You can directly type <emph>coth(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
263</tablecell>
264</tablerow>
265</table>
266<table id="tbl_id3153986">
267<tablerow>
268<tablecell colspan="" rowspan="">
269<paragraph role="paragraph" id="par_idN103B5" xml-lang="en-US" l10n="F">
270<image id="img_id3154714" src="starmath/res/fu21504.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154714" xml-lang="en-US">Icon</alt>
271</image></paragraph>
272<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_NROOTXY" id="bm_id3154720" localize="false"/>
273</tablecell>
274<tablecell colspan="" rowspan="">
275<paragraph role="tablehead" id="par_id3149320" xml-lang="en-US" l10n="U" oldref="19">nth Root</paragraph>
276<paragraph role="paragraph" id="par_id3155578" xml-lang="en-US" l10n="U" oldref="42"><ahelp hid="HID_SMA_NROOTXY">Inserts an nth root function with two placeholders.</ahelp> You can also type <emph>nroot n x</emph> in the <emph>Commands</emph> window.</paragraph>
277</tablecell>
278</tablerow>
279</table>
280<table id="tbl_id3150905">
281<tablerow>
282<tablecell colspan="" rowspan="">
283<paragraph role="paragraph" id="par_idN103EE" xml-lang="en-US" l10n="F">
284<image id="img_id3145633" src="starmath/res/fu21517.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3145633" xml-lang="en-US">Icon</alt>
285</image></paragraph>
286<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCSINX" id="bm_id3155074" localize="false"/>
287</tablecell>
288<tablecell colspan="" rowspan="">
289<paragraph role="tablehead" id="par_id3155083" xml-lang="en-US" l10n="U" oldref="21">Arc Sine</paragraph>
290<paragraph role="paragraph" id="par_id3149236" xml-lang="en-US" l10n="U" oldref="57"><ahelp hid="HID_SMA_ARCSINX">Inserts an arc sine function with one placeholder.</ahelp> You can also type <emph>arcsin(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
291</tablecell>
292</tablerow>
293</table>
294<table id="tbl_id3154327">
295<tablerow>
296<tablecell colspan="" rowspan="">
297<paragraph role="paragraph" id="par_idN10427" xml-lang="en-US" l10n="F">
298<image id="img_id3146951" src="starmath/res/fu21518.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3146951" xml-lang="en-US">Icon</alt>
299</image></paragraph>
300<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCCOSX" id="bm_id3148782" localize="false"/>
301</tablecell>
302<tablecell colspan="" rowspan="">
303<paragraph role="tablehead" id="par_id3148792" xml-lang="en-US" l10n="U" oldref="23">Arc Cosine</paragraph>
304<paragraph role="paragraph" id="par_id3149991" xml-lang="en-US" l10n="U" oldref="58"><ahelp hid="HID_SMA_ARCCOSX">Inserts an arc cosine symbol with one placeholder.</ahelp> You can also type <emph>arccos(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
305</tablecell>
306</tablerow>
307</table>
308<table id="tbl_id3150026">
309<tablerow>
310<tablecell colspan="" rowspan="">
311<paragraph role="paragraph" id="par_idN10460" xml-lang="en-US" l10n="F">
312<image id="img_id3149369" src="starmath/res/fu21519.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149369" xml-lang="en-US">Icon</alt>
313</image></paragraph>
314<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCTANX" id="bm_id3151214" localize="false"/>
315</tablecell>
316<tablecell colspan="" rowspan="">
317<paragraph role="tablehead" id="par_id3151224" xml-lang="en-US" l10n="U" oldref="76">Arc Tangent</paragraph>
318<paragraph role="paragraph" id="par_id3155790" xml-lang="en-US" l10n="U" oldref="59"><ahelp hid="HID_SMA_ARCTANX">Inserts an arc tangent function with one placeholder.</ahelp> You can also type <emph>arctan(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
319</tablecell>
320</tablerow>
321</table>
322<table id="tbl_id3154248">
323<tablerow>
324<tablecell colspan="" rowspan="">
325<paragraph role="paragraph" id="par_idN10493" xml-lang="en-US" l10n="F">
326<image id="img_id3153141" src="starmath/res/fu21520.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153141" xml-lang="en-US">Icon</alt>
327</image></paragraph>
328<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCCOTX" id="bm_id3148810" localize="false"/>
329</tablecell>
330<tablecell colspan="" rowspan="">
331<paragraph role="tablehead" id="par_id3148819" xml-lang="en-US" l10n="U" oldref="25">Arc Cotangent</paragraph>
332<paragraph role="paragraph" id="par_id3151006" xml-lang="en-US" l10n="U" oldref="60"><ahelp hid="HID_SMA_ARCCOTX">Inserts an arc cotangent function with one placeholder.</ahelp> You can directly type <emph>arccot(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
333</tablecell>
334</tablerow>
335</table>
336<table id="tbl_id3155937">
337<tablerow>
338<tablecell colspan="" rowspan="">
339<paragraph role="paragraph" id="par_idN104CC" xml-lang="en-US" l10n="F">
340<image id="img_id3154624" src="starmath/res/fu21501.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154624" xml-lang="en-US">Icon</alt>
341</image></paragraph>
342<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ABSX" id="bm_id3154012" localize="false"/>
343</tablecell>
344<tablecell colspan="" rowspan="">
345<paragraph role="tablehead" id="par_id3147383" xml-lang="en-US" l10n="U" oldref="13">Absolute Value</paragraph>
346<paragraph role="paragraph" id="par_id3147395" xml-lang="en-US" l10n="U" oldref="39"><ahelp hid="HID_SMA_ABSX">Inserts an absolute value sign with one placeholder.</ahelp> You can also type <emph>abs(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
347</tablecell>
348</tablerow>
349</table>
350<table id="tbl_id3150681">
351<tablerow>
352<tablecell colspan="" rowspan="">
353<paragraph role="paragraph" id="par_idN10507" xml-lang="en-US" l10n="F">
354<image id="img_id3154023" src="starmath/res/fu21521.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154023" xml-lang="en-US">Icon</alt>
355</image></paragraph>
356<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARSINHX" id="bm_id3149963" localize="false"/>
357</tablecell>
358<tablecell colspan="" rowspan="">
359<paragraph role="tablehead" id="par_id3149972" xml-lang="en-US" l10n="U" oldref="62">Area Hyperbolic Sine</paragraph>
360<paragraph role="paragraph" id="par_id3154671" xml-lang="en-US" l10n="U" oldref="61"><ahelp hid="HID_SMA_ARSINHX">Inserts an area hyperbolic sine function with one placeholder.</ahelp> You can also type <emph>arsinh(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
361</tablecell>
362</tablerow>
363</table>
364<table id="tbl_id3150615">
365<tablerow>
366<tablecell colspan="" rowspan="">
367<paragraph role="paragraph" id="par_idN1053A" xml-lang="en-US" l10n="F">
368<image id="img_id3149602" src="starmath/res/fu21522.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149602" xml-lang="en-US">Icon</alt>
369</image></paragraph>
370<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCOSHX" id="bm_id3150779" localize="false"/>
371</tablecell>
372<tablecell colspan="" rowspan="">
373<paragraph role="tablehead" id="par_id3150788" xml-lang="en-US" l10n="U" oldref="64">Area Hyperbolic Cosine</paragraph>
374<paragraph role="paragraph" id="par_id3145652" xml-lang="en-US" l10n="U" oldref="63"><ahelp hid="HID_SMA_ARCOSHX">Inserts an area hyperbolic cosine function with one placeholder.</ahelp> You can also type <emph>arcosh(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
375</tablecell>
376</tablerow>
377</table>
378<table id="tbl_id3148705">
379<tablerow>
380<tablecell colspan="" rowspan="">
381<paragraph role="paragraph" id="par_idN10573" xml-lang="en-US" l10n="F">
382<image id="img_id3155342" src="starmath/res/fu21523.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3155342" xml-lang="en-US">Icon</alt>
383</image></paragraph>
384<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARTANHX" id="bm_id3149516" localize="false"/>
385</tablecell>
386<tablecell colspan="" rowspan="">
387<paragraph role="tablehead" id="par_id3149526" xml-lang="en-US" l10n="U" oldref="66">Area Hyperbolic Tangent</paragraph>
388<paragraph role="paragraph" id="par_id3155536" xml-lang="en-US" l10n="U" oldref="65"><ahelp hid="HID_SMA_ARTANHX">Inserts an area hyperbolic tangent function with one placeholder.</ahelp> You can also type <emph>artanh(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
389</tablecell>
390</tablerow>
391</table>
392<table id="tbl_id3148697">
393<tablerow>
394<tablecell colspan="" rowspan="">
395<paragraph role="paragraph" id="par_idN105AC" xml-lang="en-US" l10n="F">
396<image id="img_id3150842" src="starmath/res/fu21524.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150842" xml-lang="en-US">Icon</alt>
397</image></paragraph>
398<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCOTHX" id="bm_id3145222" localize="false"/>
399</tablecell>
400<tablecell colspan="" rowspan="">
401<paragraph role="tablehead" id="par_id3145231" xml-lang="en-US" l10n="U" oldref="68">Area Hyperbolic Cotangent</paragraph>
402<paragraph role="paragraph" id="par_id3154207" xml-lang="en-US" l10n="U" oldref="67"><ahelp hid="HID_SMA_ARCOTHX">Inserts an area hyperbolic cotangent function with one placeholder.</ahelp> You can also type <emph>arcoth(&lt;?&gt;)</emph> in the <emph>Commands</emph> window.</paragraph>
403</tablecell>
404</tablerow>
405</table>
406<table id="tbl_id3153566">
407<tablerow>
408<tablecell colspan="" rowspan="">
409<paragraph role="paragraph" id="par_idN105E5" xml-lang="en-US" l10n="F">
410<image id="img_id3145301" src="starmath/res/fu21502.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3145301" xml-lang="en-US">Icon</alt>
411</image></paragraph>
412<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_FACTX" id="bm_id3155997" localize="false"/>
413</tablecell>
414<tablecell colspan="" rowspan="">
415<paragraph role="tablehead" id="par_id3156006" xml-lang="en-US" l10n="U" oldref="15">Factorial</paragraph>
416<paragraph role="paragraph" id="par_id3156019" xml-lang="en-US" l10n="U" oldref="40"><ahelp hid="HID_SMA_FACTX">Inserts the factorial sign with one placeholder.</ahelp> You can directly type <emph>fact &lt;?&gt;</emph> in the <emph>Commands</emph> window.</paragraph>
417</tablecell>
418</tablerow>
419</table>
420<paragraph role="tip" id="par_id3147546" xml-lang="en-US" l10n="U" oldref="38">You can also assign an index or an exponent to a function. For example, typing <emph>sin^2x</emph> results in in a function "sine to the power of 2x".</paragraph>
421<paragraph role="warning" id="par_id3154752" xml-lang="en-US" l10n="U" oldref="69">When typing functions manually in the Commands window, note that spaces are required for some functions (for example, abs 5=5 ; abs -3=3).</paragraph>
422</body>
423</helpdocument>
424