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"><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^<?></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(<?>)</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(<?>)</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(<?>)</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><?>^{<?>}</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(<?>)</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(<?>)</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<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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(<?>)</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 <?></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