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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">
34<bookmark_value>functions; in $[officename] Math</bookmark_value>
35<bookmark_value>natural exponential functions</bookmark_value>
36<bookmark_value>natural logarithms</bookmark_value>
37<bookmark_value>exponential functions</bookmark_value>
38<bookmark_value>logarithms</bookmark_value>
39<bookmark_value>variables; with right exponents</bookmark_value>
40<bookmark_value>exponents; variables with right</bookmark_value>
41<bookmark_value>trigonometrical functions</bookmark_value>
42<bookmark_value>sine function</bookmark_value>
43<bookmark_value>cosine function</bookmark_value>
44<bookmark_value>cotangent function</bookmark_value>
45<bookmark_value>hyperbolic sine function</bookmark_value>
46<bookmark_value>square roots</bookmark_value>
47<bookmark_value>hyperbolic cosine function</bookmark_value>
48<bookmark_value>hyperbolic tangent function</bookmark_value>
49<bookmark_value>hyperbolic cotangent function</bookmark_value>
50<bookmark_value>roots</bookmark_value>
51<bookmark_value>arc sine function</bookmark_value>
52<bookmark_value>arc cosine function</bookmark_value>
53<bookmark_value>arc cotangent function</bookmark_value>
54<bookmark_value>absolute values</bookmark_value>
55<bookmark_value>area hyperbolic cosine function</bookmark_value>
56<bookmark_value>area hyperbolic tangent function</bookmark_value>
57<bookmark_value>area hyperbolic cotangent function</bookmark_value>
58<bookmark_value>factorial</bookmark_value>
59<bookmark_value>values; absolute</bookmark_value>
60<bookmark_value>tangent function</bookmark_value>
61</bookmark>
62<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_FUNCTIONS_TBX" id="bm_id3150571" localize="false"/>
63<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_FUNCTIONS_CAT" id="bm_id3149024" localize="false"/>
64<paragraph role="heading" id="hd_id3150932" xml-lang="en-US" level="1" l10n="U"><link href="text/smath/01/03090400.xhp" name="Functions">Functions</link></paragraph>
65<paragraph role="paragraph" id="par_id3155374" xml-lang="en-US" l10n="U"><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>
66</section>
67<section id="howtoget">
68<embed href="text/smath/00/00000004.xhp#astofu"/>
69</section>
70<paragraph role="paragraph" id="par_id3150760" xml-lang="en-US" l10n="U">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>
71<paragraph role="heading" id="hd_id3156319" xml-lang="en-US" level="3" l10n="U">List of functions</paragraph>
72<table id="tbl_id3145209">
73<tablerow>
74<tablecell colspan="" rowspan="">
75<paragraph role="paragraph" id="par_idN10081" xml-lang="en-US" l10n="F">
76<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>
77</image></paragraph>
78<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_EX" id="bm_id3149287" localize="false"/>
79</tablecell>
80<tablecell colspan="" rowspan="">
81<paragraph role="tablehead" id="par_id3149750" xml-lang="en-US" l10n="U">Natural Exponential Function</paragraph>
82<paragraph role="paragraph" id="par_id3147254" xml-lang="en-US" l10n="U"><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>
83</tablecell>
84</tablerow>
85</table>
86<table id="tbl_id3145416">
87<tablerow>
88<tablecell colspan="" rowspan="">
89<paragraph role="paragraph" id="par_idN100BC" xml-lang="en-US" l10n="F">
90<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>
91</image></paragraph>
92<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_LNX" id="bm_id3154096" localize="false"/>
93</tablecell>
94<tablecell colspan="" rowspan="">
95<paragraph role="tablehead" id="par_id3154104" xml-lang="en-US" l10n="U">Natural Logarithm</paragraph>
96<paragraph role="paragraph" id="par_id3152947" xml-lang="en-US" l10n="U"><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>
97</tablecell>
98</tablerow>
99</table>
100<table id="tbl_id3153780">
101<tablerow>
102<tablecell colspan="" rowspan="">
103<paragraph role="paragraph" id="par_idN100F7" xml-lang="en-US" l10n="F">
104<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>
105</image></paragraph>
106<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_EXPX" id="bm_id3152958" localize="false"/>
107</tablecell>
108<tablecell colspan="" rowspan="">
109<paragraph role="tablehead" id="par_id3150972" xml-lang="en-US" l10n="U">Exponential Function</paragraph>
110<paragraph role="paragraph" id="par_id3151309" xml-lang="en-US" l10n="U"><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>
111</tablecell>
112</tablerow>
113</table>
114<table id="tbl_id3147531">
115<tablerow>
116<tablecell colspan="" rowspan="">
117<paragraph role="paragraph" id="par_idN10132" xml-lang="en-US" l10n="F">
118<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>
119</image></paragraph>
120<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_LOGX" id="bm_id3154198" localize="false"/>
121</tablecell>
122<tablecell colspan="" rowspan="">
123<paragraph role="tablehead" id="par_id3146925" xml-lang="en-US" l10n="U">Logarithm</paragraph>
124<paragraph role="paragraph" id="par_id3159190" xml-lang="en-US" l10n="U"><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>
125</tablecell>
126</tablerow>
127</table>
128<table id="tbl_id3149299">
129<tablerow>
130<tablecell colspan="" rowspan="">
131<paragraph role="paragraph" id="par_id3149483" xml-lang="en-US" l10n="E">
132<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>
133</image></paragraph>
134</tablecell>
135<tablecell colspan="" rowspan="">
136<paragraph role="tablehead" id="par_id3149819" xml-lang="en-US" l10n="U">Power</paragraph><comment>UFI: removed help id</comment>
137<paragraph role="paragraph" id="par_id3151250" xml-lang="en-US" l10n="U"><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>
138</tablecell>
139</tablerow>
140</table>
141<table id="tbl_id3147222">
142<tablerow>
143<tablecell colspan="" rowspan="">
144<paragraph role="paragraph" id="par_idN101B1" xml-lang="en-US" l10n="F">
145<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>
146</image></paragraph>
147<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SINX" id="bm_id3147575" localize="false"/>
148</tablecell>
149<tablecell colspan="" rowspan="">
150<paragraph role="tablehead" id="par_id3152774" xml-lang="en-US" l10n="U">Sine</paragraph>
151<paragraph role="paragraph" id="par_id3147325" xml-lang="en-US" l10n="U"><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>
152</tablecell>
153</tablerow>
154</table>
155<table id="tbl_id3147070">
156<tablerow>
157<tablecell colspan="" rowspan="">
158<paragraph role="paragraph" id="par_idN101EA" xml-lang="en-US" l10n="F">
159<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>
160</image></paragraph>
161<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_COSX" id="bm_id3153360" localize="false"/>
162</tablecell>
163<tablecell colspan="" rowspan="">
164<paragraph role="tablehead" id="par_id3150581" xml-lang="en-US" l10n="U">Cosine</paragraph>
165<paragraph role="paragraph" id="par_id3151027" xml-lang="en-US" l10n="U"><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>
166</tablecell>
167</tablerow>
168</table>
169<table id="tbl_id3154925">
170<tablerow>
171<tablecell colspan="" rowspan="">
172<paragraph role="paragraph" id="par_idN10223" xml-lang="en-US" l10n="F">
173<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>
174</image></paragraph>
175<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_TANX" id="bm_id3145781" localize="false"/>
176</tablecell>
177<tablecell colspan="" rowspan="">
178<paragraph role="tablehead" id="par_id3156366" xml-lang="en-US" l10n="U">Tangent</paragraph>
179<paragraph role="paragraph" id="par_id3156379" xml-lang="en-US" l10n="U"><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>
180</tablecell>
181</tablerow>
182</table>
183<table id="tbl_id3148880">
184<tablerow>
185<tablecell colspan="" rowspan="">
186<paragraph role="paragraph" id="par_idN1025C" xml-lang="en-US" l10n="F">
187<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>
188</image></paragraph>
189<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_COTX" id="bm_id3155857" localize="false"/>
190</tablecell>
191<tablecell colspan="" rowspan="">
192<paragraph role="tablehead" id="par_id3155867" xml-lang="en-US" l10n="U">Cotangent</paragraph>
193<paragraph role="paragraph" id="par_id3150691" xml-lang="en-US" l10n="U"><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>
194</tablecell>
195</tablerow>
196</table>
197<table id="tbl_id3147485">
198<tablerow>
199<tablecell colspan="" rowspan="">
200<paragraph role="paragraph" id="par_idN10295" xml-lang="en-US" l10n="F">
201<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>
202</image></paragraph>
203<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SINHX" id="bm_id3149560" localize="false"/>
204</tablecell>
205<tablecell colspan="" rowspan="">
206<paragraph role="tablehead" id="par_id3145119" xml-lang="en-US" l10n="U">Hyperbolic Sine</paragraph>
207<paragraph role="paragraph" id="par_id3145132" xml-lang="en-US" l10n="U"><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>
208</tablecell>
209</tablerow>
210</table>
211<table id="tbl_id3153491">
212<tablerow>
213<tablecell colspan="" rowspan="">
214<paragraph role="paragraph" id="par_idN102CE" xml-lang="en-US" l10n="F">
215<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>
216</image></paragraph>
217<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_SQRTX" id="bm_id3149224" localize="false"/>
218</tablecell>
219<tablecell colspan="" rowspan="">
220<paragraph role="tablehead" id="par_id3147734" xml-lang="en-US" l10n="U">Square Root</paragraph>
221<paragraph role="paragraph" id="par_id3147746" xml-lang="en-US" l10n="U"><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>
222</tablecell>
223</tablerow>
224</table>
225<table id="tbl_id3155776">
226<tablerow>
227<tablecell colspan="" rowspan="">
228<paragraph role="paragraph" id="par_idN10309" xml-lang="en-US" l10n="F">
229<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>
230</image></paragraph>
231<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_COSHX" id="bm_id3149842" localize="false"/>
232</tablecell>
233<tablecell colspan="" rowspan="">
234<paragraph role="tablehead" id="par_id3148846" xml-lang="en-US" l10n="U">Hyperbolic Cosine</paragraph>
235<paragraph role="paragraph" id="par_id3148857" xml-lang="en-US" l10n="U"><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>
236</tablecell>
237</tablerow>
238</table>
239<table id="tbl_id3147068">
240<tablerow>
241<tablecell colspan="" rowspan="">
242<paragraph role="paragraph" id="par_idN10342" xml-lang="en-US" l10n="F">
243<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>
244</image></paragraph>
245<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_TANHX" id="bm_id3154079" localize="false"/>
246</tablecell>
247<tablecell colspan="" rowspan="">
248<paragraph role="tablehead" id="par_id3154088" xml-lang="en-US" l10n="U">Hyperbolic Tangent</paragraph>
249<paragraph role="paragraph" id="par_id3153791" xml-lang="en-US" l10n="U"><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>
250</tablecell>
251</tablerow>
252</table>
253<table id="tbl_id3154588">
254<tablerow>
255<tablecell colspan="" rowspan="">
256<paragraph role="paragraph" id="par_idN1037C" xml-lang="en-US" l10n="F">
257<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>
258</image></paragraph>
259<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_COTHX" id="bm_id3153304" localize="false"/>
260</tablecell>
261<tablecell colspan="" rowspan="">
262<paragraph role="tablehead" id="par_id3156119" xml-lang="en-US" l10n="U">Hyperbolic Cotangent</paragraph>
263<paragraph role="paragraph" id="par_id3156131" xml-lang="en-US" l10n="U"><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>
264</tablecell>
265</tablerow>
266</table>
267<table id="tbl_id3153986">
268<tablerow>
269<tablecell colspan="" rowspan="">
270<paragraph role="paragraph" id="par_idN103B5" xml-lang="en-US" l10n="F">
271<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>
272</image></paragraph>
273<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_NROOTXY" id="bm_id3154720" localize="false"/>
274</tablecell>
275<tablecell colspan="" rowspan="">
276<paragraph role="tablehead" id="par_id3149320" xml-lang="en-US" l10n="U">nth Root</paragraph>
277<paragraph role="paragraph" id="par_id3155578" xml-lang="en-US" l10n="U"><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>
278</tablecell>
279</tablerow>
280</table>
281<table id="tbl_id3150905">
282<tablerow>
283<tablecell colspan="" rowspan="">
284<paragraph role="paragraph" id="par_idN103EE" xml-lang="en-US" l10n="F">
285<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>
286</image></paragraph>
287<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCSINX" id="bm_id3155074" localize="false"/>
288</tablecell>
289<tablecell colspan="" rowspan="">
290<paragraph role="tablehead" id="par_id3155083" xml-lang="en-US" l10n="U">Arc Sine</paragraph>
291<paragraph role="paragraph" id="par_id3149236" xml-lang="en-US" l10n="U"><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>
292</tablecell>
293</tablerow>
294</table>
295<table id="tbl_id3154327">
296<tablerow>
297<tablecell colspan="" rowspan="">
298<paragraph role="paragraph" id="par_idN10427" xml-lang="en-US" l10n="F">
299<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>
300</image></paragraph>
301<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCCOSX" id="bm_id3148782" localize="false"/>
302</tablecell>
303<tablecell colspan="" rowspan="">
304<paragraph role="tablehead" id="par_id3148792" xml-lang="en-US" l10n="U">Arc Cosine</paragraph>
305<paragraph role="paragraph" id="par_id3149991" xml-lang="en-US" l10n="U"><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>
306</tablecell>
307</tablerow>
308</table>
309<table id="tbl_id3150026">
310<tablerow>
311<tablecell colspan="" rowspan="">
312<paragraph role="paragraph" id="par_idN10460" xml-lang="en-US" l10n="F">
313<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>
314</image></paragraph>
315<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCTANX" id="bm_id3151214" localize="false"/>
316</tablecell>
317<tablecell colspan="" rowspan="">
318<paragraph role="tablehead" id="par_id3151224" xml-lang="en-US" l10n="U">Arc Tangent</paragraph>
319<paragraph role="paragraph" id="par_id3155790" xml-lang="en-US" l10n="U"><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>
320</tablecell>
321</tablerow>
322</table>
323<table id="tbl_id3154248">
324<tablerow>
325<tablecell colspan="" rowspan="">
326<paragraph role="paragraph" id="par_idN10493" xml-lang="en-US" l10n="F">
327<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>
328</image></paragraph>
329<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCCOTX" id="bm_id3148810" localize="false"/>
330</tablecell>
331<tablecell colspan="" rowspan="">
332<paragraph role="tablehead" id="par_id3148819" xml-lang="en-US" l10n="U">Arc Cotangent</paragraph>
333<paragraph role="paragraph" id="par_id3151006" xml-lang="en-US" l10n="U"><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>
334</tablecell>
335</tablerow>
336</table>
337<table id="tbl_id3155937">
338<tablerow>
339<tablecell colspan="" rowspan="">
340<paragraph role="paragraph" id="par_idN104CC" xml-lang="en-US" l10n="F">
341<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>
342</image></paragraph>
343<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ABSX" id="bm_id3154012" localize="false"/>
344</tablecell>
345<tablecell colspan="" rowspan="">
346<paragraph role="tablehead" id="par_id3147383" xml-lang="en-US" l10n="U">Absolute Value</paragraph>
347<paragraph role="paragraph" id="par_id3147395" xml-lang="en-US" l10n="U"><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>
348</tablecell>
349</tablerow>
350</table>
351<table id="tbl_id3150681">
352<tablerow>
353<tablecell colspan="" rowspan="">
354<paragraph role="paragraph" id="par_idN10507" xml-lang="en-US" l10n="F">
355<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>
356</image></paragraph>
357<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARSINHX" id="bm_id3149963" localize="false"/>
358</tablecell>
359<tablecell colspan="" rowspan="">
360<paragraph role="tablehead" id="par_id3149972" xml-lang="en-US" l10n="U">Area Hyperbolic Sine</paragraph>
361<paragraph role="paragraph" id="par_id3154671" xml-lang="en-US" l10n="U"><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>
362</tablecell>
363</tablerow>
364</table>
365<table id="tbl_id3150615">
366<tablerow>
367<tablecell colspan="" rowspan="">
368<paragraph role="paragraph" id="par_idN1053A" xml-lang="en-US" l10n="F">
369<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>
370</image></paragraph>
371<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCOSHX" id="bm_id3150779" localize="false"/>
372</tablecell>
373<tablecell colspan="" rowspan="">
374<paragraph role="tablehead" id="par_id3150788" xml-lang="en-US" l10n="U">Area Hyperbolic Cosine</paragraph>
375<paragraph role="paragraph" id="par_id3145652" xml-lang="en-US" l10n="U"><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>
376</tablecell>
377</tablerow>
378</table>
379<table id="tbl_id3148705">
380<tablerow>
381<tablecell colspan="" rowspan="">
382<paragraph role="paragraph" id="par_idN10573" xml-lang="en-US" l10n="F">
383<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>
384</image></paragraph>
385<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARTANHX" id="bm_id3149516" localize="false"/>
386</tablecell>
387<tablecell colspan="" rowspan="">
388<paragraph role="tablehead" id="par_id3149526" xml-lang="en-US" l10n="U">Area Hyperbolic Tangent</paragraph>
389<paragraph role="paragraph" id="par_id3155536" xml-lang="en-US" l10n="U"><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>
390</tablecell>
391</tablerow>
392</table>
393<table id="tbl_id3148697">
394<tablerow>
395<tablecell colspan="" rowspan="">
396<paragraph role="paragraph" id="par_idN105AC" xml-lang="en-US" l10n="F">
397<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>
398</image></paragraph>
399<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_ARCOTHX" id="bm_id3145222" localize="false"/>
400</tablecell>
401<tablecell colspan="" rowspan="">
402<paragraph role="tablehead" id="par_id3145231" xml-lang="en-US" l10n="U">Area Hyperbolic Cotangent</paragraph>
403<paragraph role="paragraph" id="par_id3154207" xml-lang="en-US" l10n="U"><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>
404</tablecell>
405</tablerow>
406</table>
407<table id="tbl_id3153566">
408<tablerow>
409<tablecell colspan="" rowspan="">
410<paragraph role="paragraph" id="par_idN105E5" xml-lang="en-US" l10n="F">
411<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>
412</image></paragraph>
413<bookmark xml-lang="en-US" branch="hid/STARMATH_HID_SMA_FACTX" id="bm_id3155997" localize="false"/>
414</tablecell>
415<tablecell colspan="" rowspan="">
416<paragraph role="tablehead" id="par_id3156006" xml-lang="en-US" l10n="U">Factorial</paragraph>
417<paragraph role="paragraph" id="par_id3156019" xml-lang="en-US" l10n="U"><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>
418</tablecell>
419</tablerow>
420</table>
421<paragraph role="tip" id="par_id3147546" xml-lang="en-US" l10n="U">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>
422<paragraph role="warning" id="par_id3154752" xml-lang="en-US" l10n="U">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>
423</body>
424</helpdocument>
425