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="textsmath0103091504xml" indexer="include" status="PUBLISH"> 27<title id="tit" xml-lang="en-US">Functions</title> 28<filename>/text/smath/01/03091504.xhp</filename> 29</topic> 30</meta> 31<body> 32<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"> 33<bookmark_value>functions operators;list of</bookmark_value> 34</bookmark> 35<paragraph role="heading" id="hd_id645466" xml-lang="en-US" level="1" l10n="NEW"><variable id="functions"><link href="text/smath/01/03091504.xhp" name="Functions">Functions</link> 36</variable></paragraph> 37<table id="tbl_id3156638" class="list"> 38<tablerow> 39<tablecell colspan="" rowspan=""> 40<paragraph role="tablehead" id="par_idN11838" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 41</tablecell> 42<tablecell colspan="" rowspan=""> 43<paragraph role="tablehead" id="par_id3156681" xml-lang="en-US" l10n="U">Symbol in Elements Window</paragraph> 44</tablecell> 45<tablecell colspan="" rowspan=""> 46<paragraph role="tablehead" id="par_id3156750" xml-lang="en-US" l10n="U">Meaning</paragraph> 47</tablecell> 48</tablerow> 49<tablerow> 50<tablecell colspan="" rowspan=""> 51<paragraph role="tablecontent" id="par_idN11D34" xml-lang="en-US" l10n="NEW" localize="false"> 52<item type="literal">abs</item> 53</paragraph> 54</tablecell> 55<tablecell colspan="" rowspan=""> 56<paragraph role="tablecontent" id="par_id3166018" xml-lang="en-US" l10n="E"> 57<image id="img_id3166024" src="starmath/res/fu21501.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166024" xml-lang="en-US">Icon</alt> 58</image></paragraph> 59</tablecell> 60<tablecell colspan="" rowspan=""> 61<paragraph role="tablecontent" id="par_id3166138" xml-lang="en-US" l10n="U">Absolute amount</paragraph> 62</tablecell> 63</tablerow> 64<tablerow> 65<tablecell colspan="" rowspan=""> 66<paragraph role="tablecontent" id="par_idN11B2C" xml-lang="en-US" l10n="NEW" localize="false"> 67<item type="literal">arccos</item> 68</paragraph> 69</tablecell> 70<tablecell colspan="" rowspan=""> 71<paragraph role="tablecontent" id="par_id3164840" xml-lang="en-US" l10n="E"> 72<image id="img_id3164847" src="starmath/res/fu21518.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3164847" xml-lang="en-US">Icon</alt> 73</image></paragraph> 74</tablecell> 75<tablecell colspan="" rowspan=""> 76<paragraph role="tablecontent" id="par_id3164961" xml-lang="en-US" l10n="U">Inverse cosine or arccosine</paragraph> 77</tablecell> 78</tablerow> 79<tablerow> 80<tablecell colspan="" rowspan=""> 81<paragraph role="tablecontent" id="par_idN11BAE" xml-lang="en-US" l10n="NEW" localize="false"> 82<item type="literal">arccot</item> 83</paragraph> 84</tablecell> 85<tablecell colspan="" rowspan=""> 86<paragraph role="tablecontent" id="par_id3165134" xml-lang="en-US" l10n="E"> 87<image id="img_id3165141" src="starmath/res/fu21520.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165141" xml-lang="en-US">Icon</alt> 88</image></paragraph> 89</tablecell> 90<tablecell colspan="" rowspan=""> 91<paragraph role="tablecontent" id="par_id3165255" xml-lang="en-US" l10n="U">Inverse cotangent or arccotangent</paragraph> 92</tablecell> 93</tablerow> 94<tablerow> 95<tablecell colspan="" rowspan=""> 96<paragraph role="tablecontent" id="par_idN11DB6" xml-lang="en-US" l10n="NEW" localize="false"> 97<item type="literal">arcosh</item> 98</paragraph> 99</tablecell> 100<tablecell colspan="" rowspan=""> 101<paragraph role="tablecontent" id="par_id3166312" xml-lang="en-US" l10n="E"> 102<image id="img_id3166318" src="starmath/res/fu21522.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166318" xml-lang="en-US">Icon</alt> 103</image></paragraph> 104</tablecell> 105<tablecell colspan="" rowspan=""> 106<paragraph role="tablecontent" id="par_id3166432" xml-lang="en-US" l10n="U">Inverse hyperbolic cosine</paragraph> 107</tablecell> 108</tablerow> 109<tablerow> 110<tablecell colspan="" rowspan=""> 111<paragraph role="tablecontent" id="par_idN11E3A" xml-lang="en-US" l10n="NEW" localize="false"> 112<item type="literal">arcoth</item> 113</paragraph> 114</tablecell> 115<tablecell colspan="" rowspan=""> 116<paragraph role="tablecontent" id="par_id3143430" xml-lang="en-US" l10n="E"> 117<image id="img_id3143436" src="starmath/res/fu21524.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3143436" xml-lang="en-US">Icon</alt> 118</image></paragraph> 119</tablecell> 120<tablecell colspan="" rowspan=""> 121<paragraph role="tablecontent" id="par_id3143550" xml-lang="en-US" l10n="U">Inverse hyperbolic cotangent</paragraph> 122</tablecell> 123</tablerow> 124<tablerow> 125<tablecell colspan="" rowspan=""> 126<paragraph role="tablecontent" id="par_idN11AE9" xml-lang="en-US" l10n="NEW" localize="false"> 127<item type="literal">arcsin</item> 128</paragraph> 129</tablecell> 130<tablecell colspan="" rowspan=""> 131<paragraph role="tablecontent" id="par_id3152238" xml-lang="en-US" l10n="E"> 132<image id="img_id3152244" src="starmath/res/fu21517.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152244" xml-lang="en-US">Icon</alt> 133</image></paragraph> 134</tablecell> 135<tablecell colspan="" rowspan=""> 136<paragraph role="tablecontent" id="par_id3152358" xml-lang="en-US" l10n="U">Inverse sine or arcsine</paragraph> 137</tablecell> 138</tablerow> 139<tablerow> 140<tablecell colspan="" rowspan=""> 141<paragraph role="tablecontent" id="par_idN11B6D" xml-lang="en-US" l10n="NEW" localize="false"> 142<item type="literal">arctan</item> 143</paragraph> 144</tablecell> 145<tablecell colspan="" rowspan=""> 146<paragraph role="tablecontent" id="par_id3164987" xml-lang="en-US" l10n="E"> 147<image id="img_id3164994" src="starmath/res/fu21519.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3164994" xml-lang="en-US">Icon</alt> 148</image></paragraph> 149</tablecell> 150<tablecell colspan="" rowspan=""> 151<paragraph role="tablecontent" id="par_id3165108" xml-lang="en-US" l10n="U">Inverse tangent or arctangent</paragraph> 152</tablecell> 153</tablerow> 154<tablerow> 155<tablecell colspan="" rowspan=""> 156<paragraph role="tablecontent" id="par_idN11D75" xml-lang="en-US" l10n="NEW" localize="false"> 157<item type="literal">arsinh</item> 158</paragraph> 159</tablecell> 160<tablecell colspan="" rowspan=""> 161<paragraph role="tablecontent" id="par_id3166165" xml-lang="en-US" l10n="E"> 162<image id="img_id3166172" src="starmath/res/fu21521.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166172" xml-lang="en-US">Icon</alt> 163</image></paragraph> 164</tablecell> 165<tablecell colspan="" rowspan=""> 166<paragraph role="tablecontent" id="par_id3166285" xml-lang="en-US" l10n="U">Inverse hyperbolic sine</paragraph> 167</tablecell> 168</tablerow> 169<tablerow> 170<tablecell colspan="" rowspan=""> 171<paragraph role="tablecontent" id="par_idN11DF9" xml-lang="en-US" l10n="NEW" localize="false"> 172<item type="literal">artanh</item> 173</paragraph> 174</tablecell> 175<tablecell colspan="" rowspan=""> 176<paragraph role="tablecontent" id="par_id3166459" xml-lang="en-US" l10n="E"> 177<image id="img_id3166465" src="starmath/res/fu21523.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166465" xml-lang="en-US">Icon</alt> 178</image></paragraph> 179</tablecell> 180<tablecell colspan="" rowspan=""> 181<paragraph role="tablecontent" id="par_id3143403" xml-lang="en-US" l10n="U">Inverse hyperbolic tangent</paragraph> 182</tablecell> 183</tablerow> 184<tablerow> 185<tablecell colspan="" rowspan=""> 186<paragraph role="tablecontent" id="par_idN11EBC" xml-lang="en-US" l10n="NEW" localize="false"> 187<item type="literal">backepsilon</item> 188</paragraph> 189</tablecell> 190<tablecell colspan="" rowspan=""/> 191<tablecell colspan="" rowspan=""> 192<paragraph role="tablecontent" id="par_id3143805" xml-lang="en-US" l10n="U">Back epsilon</paragraph> 193</tablecell> 194</tablerow> 195<tablerow> 196<tablecell colspan="" rowspan=""> 197<paragraph role="tablecontent" id="par_idN119E5" xml-lang="en-US" l10n="NEW" localize="false"> 198<item type="literal">cos</item> 199</paragraph> 200</tablecell> 201<tablecell colspan="" rowspan=""> 202<paragraph role="tablecontent" id="par_id3151649" xml-lang="en-US" l10n="E"> 203<image id="img_id3151656" src="starmath/res/fu21510.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151656" xml-lang="en-US">Icon</alt> 204</image></paragraph> 205</tablecell> 206<tablecell colspan="" rowspan=""> 207<paragraph role="tablecontent" id="par_id3151770" xml-lang="en-US" l10n="U">Cosine</paragraph> 208</tablecell> 209</tablerow> 210<tablerow> 211<tablecell colspan="" rowspan=""> 212<paragraph role="tablecontent" id="par_idN11C71" xml-lang="en-US" l10n="NEW" localize="false"> 213<item type="literal">cosh</item> 214</paragraph> 215</tablecell> 216<tablecell colspan="" rowspan=""> 217<paragraph role="tablecontent" id="par_id3165576" xml-lang="en-US" l10n="E"> 218<image id="img_id3165583" src="starmath/res/fu21514.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165583" xml-lang="en-US">Icon</alt> 219</image></paragraph> 220</tablecell> 221<tablecell colspan="" rowspan=""> 222<paragraph role="tablecontent" id="par_id3165696" xml-lang="en-US" l10n="U">Hyperbolic cosine</paragraph> 223</tablecell> 224</tablerow> 225<tablerow> 226<tablecell colspan="" rowspan=""> 227<paragraph role="tablecontent" id="par_idN11A67" xml-lang="en-US" l10n="NEW" localize="false"> 228<item type="literal">cot</item> 229</paragraph> 230</tablecell> 231<tablecell colspan="" rowspan=""> 232<paragraph role="tablecontent" id="par_id3151944" xml-lang="en-US" l10n="E"> 233<image id="img_id3151950" src="starmath/res/fu21512.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151950" xml-lang="en-US">Icon</alt> 234</image></paragraph> 235</tablecell> 236<tablecell colspan="" rowspan=""> 237<paragraph role="tablecontent" id="par_id3152064" xml-lang="en-US" l10n="U">Cotangent</paragraph> 238</tablecell> 239</tablerow> 240<tablerow> 241<tablecell colspan="" rowspan=""> 242<paragraph role="tablecontent" id="par_idN11CF3" xml-lang="en-US" l10n="NEW" localize="false"> 243<item type="literal">coth</item> 244</paragraph> 245</tablecell> 246<tablecell colspan="" rowspan=""> 247<paragraph role="tablecontent" id="par_id3165871" xml-lang="en-US" l10n="E"> 248<image id="img_id3165877" src="starmath/res/fu21516.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165877" xml-lang="en-US">Icon</alt> 249</image></paragraph> 250</tablecell> 251<tablecell colspan="" rowspan=""> 252<paragraph role="tablecontent" id="par_id3165991" xml-lang="en-US" l10n="U">Hyperbolic cotangent</paragraph> 253</tablecell> 254</tablerow> 255<tablerow> 256<tablecell colspan="" rowspan=""> 257<paragraph role="tablecontent" id="par_idN118E1" xml-lang="en-US" l10n="NEW" localize="false"> 258<item type="literal">exp</item> 259</paragraph> 260</tablecell> 261<tablecell colspan="" rowspan=""> 262<paragraph role="tablecontent" id="par_id3157074" xml-lang="en-US" l10n="E"> 263<image id="img_id3157080" src="starmath/res/fu21507.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157080" xml-lang="en-US">Icon</alt> 264</image></paragraph> 265</tablecell> 266<tablecell colspan="" rowspan=""> 267<paragraph role="tablecontent" id="par_id3157194" xml-lang="en-US" l10n="U">General exponential function</paragraph> 268</tablecell> 269</tablerow> 270<tablerow> 271<tablecell colspan="" rowspan=""> 272<paragraph role="tablecontent" id="par_idN11E7B" xml-lang="en-US" l10n="NEW" localize="false"> 273<item type="literal">fact</item> 274</paragraph> 275</tablecell> 276<tablecell colspan="" rowspan=""> 277<paragraph role="tablecontent" id="par_id3143577" xml-lang="en-US" l10n="E"> 278<image id="img_id3143584" src="starmath/res/fu21502.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3143584" xml-lang="en-US">Icon</alt> 279</image></paragraph> 280</tablecell> 281<tablecell colspan="" rowspan=""> 282<paragraph role="tablecontent" id="par_id3143698" xml-lang="en-US" l10n="U">Factorial</paragraph> 283</tablecell> 284</tablerow> 285<tablerow> 286<tablecell colspan="" rowspan=""> 287<paragraph role="tablecontent" id="par_idN1185F" xml-lang="en-US" l10n="NEW" localize="false"> 288<item type="literal">func e^{}</item> 289</paragraph> 290</tablecell> 291<tablecell colspan="" rowspan=""> 292<paragraph role="tablecontent" id="par_id3156780" xml-lang="en-US" l10n="E"> 293<image id="img_id3156786" src="starmath/res/fu21505.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156786" xml-lang="en-US">Icon</alt> 294</image></paragraph> 295</tablecell> 296<tablecell colspan="" rowspan=""> 297<paragraph role="tablecontent" id="par_id3156900" xml-lang="en-US" l10n="U">Natural exponential function</paragraph> 298</tablecell> 299</tablerow> 300<tablerow> 301<tablecell colspan="" rowspan=""> 302<paragraph role="tablecontent" id="par_idN118A0" xml-lang="en-US" l10n="NEW" localize="false"> 303<item type="literal">ln</item> 304</paragraph> 305</tablecell> 306<tablecell colspan="" rowspan=""> 307<paragraph role="tablecontent" id="par_id3156927" xml-lang="en-US" l10n="E"> 308<image id="img_id3156934" src="starmath/res/fu21506.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156934" xml-lang="en-US">Icon</alt> 309</image></paragraph> 310</tablecell> 311<tablecell colspan="" rowspan=""> 312<paragraph role="tablecontent" id="par_id3157048" xml-lang="en-US" l10n="U">Natural logarithm</paragraph> 313</tablecell> 314</tablerow> 315<tablerow> 316<tablecell colspan="" rowspan=""> 317<paragraph role="tablecontent" id="par_idN11922" xml-lang="en-US" l10n="NEW" localize="false"> 318<item type="literal">log</item> 319</paragraph> 320</tablecell> 321<tablecell colspan="" rowspan=""> 322<paragraph role="tablecontent" id="par_id3157220" xml-lang="en-US" l10n="E"> 323<image id="img_id3157227" src="starmath/res/fu21508.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157227" xml-lang="en-US">Icon</alt> 324</image></paragraph> 325</tablecell> 326<tablecell colspan="" rowspan=""> 327<paragraph role="tablecontent" id="par_id3157341" xml-lang="en-US" l10n="U">General logarithm</paragraph> 328</tablecell> 329</tablerow> 330<tablerow> 331<tablecell colspan="" rowspan=""> 332<paragraph role="tablecontent" id="par_idN11BEF" xml-lang="en-US" l10n="NEW" localize="false"> 333<item type="literal">nroot</item> 334</paragraph> 335</tablecell> 336<tablecell colspan="" rowspan=""> 337<paragraph role="tablecontent" id="par_id3165282" xml-lang="en-US" l10n="E"> 338<image id="img_id3165288" src="starmath/res/fu21504.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165288" xml-lang="en-US">Icon</alt> 339</image></paragraph> 340</tablecell> 341<tablecell colspan="" rowspan=""> 342<paragraph role="tablecontent" id="par_id3165402" xml-lang="en-US" l10n="U">n-th root of x</paragraph> 343</tablecell> 344</tablerow> 345<tablerow> 346<tablecell colspan="" rowspan=""> 347<paragraph role="tablecontent" id="par_idN119A4" xml-lang="en-US" l10n="NEW" localize="false"> 348<item type="literal">sin</item> 349</paragraph> 350</tablecell> 351<tablecell colspan="" rowspan=""> 352<paragraph role="tablecontent" id="par_id3151502" xml-lang="en-US" l10n="E"> 353<image id="img_id3151509" src="starmath/res/fu21509.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151509" xml-lang="en-US">Icon</alt> 354</image></paragraph> 355</tablecell> 356<tablecell colspan="" rowspan=""> 357<paragraph role="tablecontent" id="par_id3151623" xml-lang="en-US" l10n="U">Sine</paragraph> 358</tablecell> 359</tablerow> 360<tablerow> 361<tablecell colspan="" rowspan=""> 362<paragraph role="tablecontent" id="par_idN11C30" xml-lang="en-US" l10n="NEW" localize="false"> 363<item type="literal">sinh</item> 364</paragraph> 365</tablecell> 366<tablecell colspan="" rowspan=""> 367<paragraph role="tablecontent" id="par_id3165429" xml-lang="en-US" l10n="E"> 368<image id="img_id3165436" src="starmath/res/fu21513.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165436" xml-lang="en-US">Icon</alt> 369</image></paragraph> 370</tablecell> 371<tablecell colspan="" rowspan=""> 372<paragraph role="tablecontent" id="par_id3165549" xml-lang="en-US" l10n="U">Hyperbolic sine</paragraph> 373</tablecell> 374</tablerow> 375<tablerow> 376<tablecell colspan="" rowspan=""> 377<paragraph role="tablecontent" id="par_idN11AA8" xml-lang="en-US" l10n="NEW" localize="false"> 378<item type="literal">sqrt</item> 379</paragraph> 380</tablecell> 381<tablecell colspan="" rowspan=""> 382<paragraph role="tablecontent" id="par_id3152091" xml-lang="en-US" l10n="E"> 383<image id="img_id3152097" src="starmath/res/fu21503.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152097" xml-lang="en-US">Icon</alt> 384</image></paragraph> 385</tablecell> 386<tablecell colspan="" rowspan=""> 387<paragraph role="tablecontent" id="par_id3152211" xml-lang="en-US" l10n="U">Square root</paragraph> 388</tablecell> 389</tablerow> 390<tablerow> 391<tablecell colspan="" rowspan=""> 392<paragraph role="tablecontent" id="par_idN11EDE" xml-lang="en-US" l10n="NEW" localize="false"> 393<item type="literal">sub</item> 394</paragraph> 395</tablecell> 396<tablecell colspan="" rowspan=""/> 397<tablecell colspan="" rowspan=""> 398<paragraph role="tablecontent" id="par_id3143914" xml-lang="en-US" l10n="U">x with subscript n</paragraph> 399</tablecell> 400</tablerow> 401<tablerow> 402<tablecell colspan="" rowspan=""> 403<paragraph role="tablecontent" id="par_idN11963" xml-lang="en-US" l10n="NEW" localize="false"> 404<item type="literal">sup</item> 405</paragraph> 406</tablecell> 407<tablecell colspan="" rowspan=""> 408<paragraph role="tablecontent" id="par_id3157368" xml-lang="en-US" l10n="E"> 409<image id="img_id3157375" src="starmath/res/fu21908.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157375" xml-lang="en-US">Icon</alt> 410</image></paragraph> 411</tablecell> 412<tablecell colspan="" rowspan=""> 413<paragraph role="tablecontent" id="par_id3151476" xml-lang="en-US" l10n="U">n-th power of x</paragraph> 414</tablecell> 415</tablerow> 416<tablerow> 417<tablecell colspan="" rowspan=""> 418<paragraph role="tablecontent" id="par_idN11A26" xml-lang="en-US" l10n="NEW" localize="false"> 419<item type="literal">tan</item> 420</paragraph> 421</tablecell> 422<tablecell colspan="" rowspan=""> 423<paragraph role="tablecontent" id="par_id3151796" xml-lang="en-US" l10n="E"> 424<image id="img_id3151803" src="starmath/res/fu21511.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151803" xml-lang="en-US">Icon</alt> 425</image></paragraph> 426</tablecell> 427<tablecell colspan="" rowspan=""> 428<paragraph role="tablecontent" id="par_id3151917" xml-lang="en-US" l10n="U">Tangent</paragraph> 429</tablecell> 430</tablerow> 431<tablerow> 432<tablecell colspan="" rowspan=""> 433<paragraph role="tablecontent" id="par_idN11CB2" xml-lang="en-US" l10n="NEW" localize="false"> 434<item type="literal">tanh</item> 435</paragraph> 436</tablecell> 437<tablecell colspan="" rowspan=""> 438<paragraph role="tablecontent" id="par_id3165723" xml-lang="en-US" l10n="E"> 439<image id="img_id3165730" src="starmath/res/fu21515.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165730" xml-lang="en-US">Icon</alt> 440</image></paragraph> 441</tablecell> 442<tablecell colspan="" rowspan=""> 443<paragraph role="tablecontent" id="par_id3165844" xml-lang="en-US" l10n="U">Hyperbolic tangent</paragraph> 444</tablecell> 445</tablerow> 446</table> 447<section id="relatedtopics"> 448<embed href="text/smath/01/03090400.xhp#funktionen"/> 449<embed href="text/smath/01/03091500.xhp#reference"/> 450</section> 451</body> 452</helpdocument> 453
