1<?xml version="1.0" encoding="UTF-8"?> 2 3<!--*********************************************************** 4 * 5 * Licensed to the Apache Software Foundation (ASF) under one 6 * or more contributor license agreements. See the NOTICE file 7 * distributed with this work for additional information 8 * regarding copyright ownership. The ASF licenses this file 9 * to you under the Apache License, Version 2.0 (the 10 * "License"); you may not use this file except in compliance 11 * with the License. You may obtain a copy of the License at 12 * 13 * http://www.apache.org/licenses/LICENSE-2.0 14 * 15 * Unless required by applicable law or agreed to in writing, 16 * software distributed under the License is distributed on an 17 * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY 18 * KIND, either express or implied. See the License for the 19 * specific language governing permissions and limitations 20 * under the License. 21 * 22 ***********************************************************--> 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^<?></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(<?>)</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(<?>)</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(<?>)</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><?>^{<?>}</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(<?>)</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(<?>)</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<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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 <?></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