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If not, see 28 * <http://www.openoffice.org/license.html> 29 * for a copy of the LGPLv3 License. 30 * 31 ************************************************************************ 32 --> 33 34 35 <helpdocument version="1.0"> 36<meta> 37<topic id="textsmath0103091504xml" indexer="include" status="PUBLISH"> 38<title id="tit" xml-lang="en-US">Functions</title> 39<filename>/text/smath/01/03091504.xhp</filename> 40</topic> 41</meta> 42<body> 43<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"><bookmark_value>functions operators;list of</bookmark_value> 44</bookmark> 45<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> 46</variable></paragraph> 47<table id="tbl_id3156638" class="list"> 48<tablerow> 49<tablecell colspan="" rowspan=""> 50<paragraph role="tablehead" id="par_idN11838" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 51</tablecell> 52<tablecell colspan="" rowspan=""> 53<paragraph role="tablehead" id="par_id3156681" xml-lang="en-US" l10n="U" oldref="481">Symbol in Elements Window</paragraph> 54</tablecell> 55<tablecell colspan="" rowspan=""> 56<paragraph role="tablehead" id="par_id3156750" xml-lang="en-US" l10n="U" oldref="483">Meaning</paragraph> 57</tablecell> 58</tablerow> 59<tablerow> 60<tablecell colspan="" rowspan=""> 61<paragraph role="tablecontent" id="par_idN11D34" xml-lang="en-US" l10n="NEW" localize="false"> 62<item type="literal">abs</item> 63</paragraph> 64</tablecell> 65<tablecell colspan="" rowspan=""> 66<paragraph role="tablecontent" id="par_id3166018" xml-lang="en-US" l10n="E"> 67<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> 68 </image></paragraph> 69</tablecell> 70<tablecell colspan="" rowspan=""> 71<paragraph role="tablecontent" id="par_id3166138" xml-lang="en-US" l10n="U" oldref="16">Absolute amount</paragraph> 72</tablecell> 73</tablerow> 74<tablerow> 75<tablecell colspan="" rowspan=""> 76<paragraph role="tablecontent" id="par_idN11B2C" xml-lang="en-US" l10n="NEW" localize="false"> 77<item type="literal">arccos</item> 78</paragraph> 79</tablecell> 80<tablecell colspan="" rowspan=""> 81<paragraph role="tablecontent" id="par_id3164840" xml-lang="en-US" l10n="E"> 82<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> 83 </image></paragraph> 84</tablecell> 85<tablecell colspan="" rowspan=""> 86<paragraph role="tablecontent" id="par_id3164961" xml-lang="en-US" l10n="U" oldref="184">Inverse cosine or arccosine</paragraph> 87</tablecell> 88</tablerow> 89<tablerow> 90<tablecell colspan="" rowspan=""> 91<paragraph role="tablecontent" id="par_idN11BAE" xml-lang="en-US" l10n="NEW" localize="false"> 92<item type="literal">arccot</item> 93</paragraph> 94</tablecell> 95<tablecell colspan="" rowspan=""> 96<paragraph role="tablecontent" id="par_id3165134" xml-lang="en-US" l10n="E"> 97<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> 98 </image></paragraph> 99</tablecell> 100<tablecell colspan="" rowspan=""> 101<paragraph role="tablecontent" id="par_id3165255" xml-lang="en-US" l10n="U" oldref="188">Inverse cotangent or arccotangent</paragraph> 102</tablecell> 103</tablerow> 104<tablerow> 105<tablecell colspan="" rowspan=""> 106<paragraph role="tablecontent" id="par_idN11DB6" xml-lang="en-US" l10n="NEW" localize="false"> 107<item type="literal">arcosh</item> 108</paragraph> 109</tablecell> 110<tablecell colspan="" rowspan=""> 111<paragraph role="tablecontent" id="par_id3166312" xml-lang="en-US" l10n="E"> 112<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> 113 </image></paragraph> 114</tablecell> 115<tablecell colspan="" rowspan=""> 116<paragraph role="tablecontent" id="par_id3166432" xml-lang="en-US" l10n="U" oldref="200">Inverse hyperbolic cosine</paragraph> 117</tablecell> 118</tablerow> 119<tablerow> 120<tablecell colspan="" rowspan=""> 121<paragraph role="tablecontent" id="par_idN11E3A" xml-lang="en-US" l10n="NEW" localize="false"> 122<item type="literal">arcoth</item> 123</paragraph> 124</tablecell> 125<tablecell colspan="" rowspan=""> 126<paragraph role="tablecontent" id="par_id3143430" xml-lang="en-US" l10n="E"> 127<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> 128 </image></paragraph> 129</tablecell> 130<tablecell colspan="" rowspan=""> 131<paragraph role="tablecontent" id="par_id3143550" xml-lang="en-US" l10n="U" oldref="204">Inverse hyperbolic cotangent</paragraph> 132</tablecell> 133</tablerow> 134<tablerow> 135<tablecell colspan="" rowspan=""> 136<paragraph role="tablecontent" id="par_idN11AE9" xml-lang="en-US" l10n="NEW" localize="false"> 137<item type="literal">arcsin</item> 138</paragraph> 139</tablecell> 140<tablecell colspan="" rowspan=""> 141<paragraph role="tablecontent" id="par_id3152238" xml-lang="en-US" l10n="E"> 142<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> 143 </image></paragraph> 144</tablecell> 145<tablecell colspan="" rowspan=""> 146<paragraph role="tablecontent" id="par_id3152358" xml-lang="en-US" l10n="U" oldref="182">Inverse sine or arcsine</paragraph> 147</tablecell> 148</tablerow> 149<tablerow> 150<tablecell colspan="" rowspan=""> 151<paragraph role="tablecontent" id="par_idN11B6D" xml-lang="en-US" l10n="NEW" localize="false"> 152<item type="literal">arctan</item> 153</paragraph> 154</tablecell> 155<tablecell colspan="" rowspan=""> 156<paragraph role="tablecontent" id="par_id3164987" xml-lang="en-US" l10n="E"> 157<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> 158 </image></paragraph> 159</tablecell> 160<tablecell colspan="" rowspan=""> 161<paragraph role="tablecontent" id="par_id3165108" xml-lang="en-US" l10n="U" oldref="186">Inverse tangent or arctangent</paragraph> 162</tablecell> 163</tablerow> 164<tablerow> 165<tablecell colspan="" rowspan=""> 166<paragraph role="tablecontent" id="par_idN11D75" xml-lang="en-US" l10n="NEW" localize="false"> 167<item type="literal">arsinh</item> 168</paragraph> 169</tablecell> 170<tablecell colspan="" rowspan=""> 171<paragraph role="tablecontent" id="par_id3166165" xml-lang="en-US" l10n="E"> 172<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> 173 </image></paragraph> 174</tablecell> 175<tablecell colspan="" rowspan=""> 176<paragraph role="tablecontent" id="par_id3166285" xml-lang="en-US" l10n="U" oldref="198">Inverse hyperbolic sine</paragraph> 177</tablecell> 178</tablerow> 179<tablerow> 180<tablecell colspan="" rowspan=""> 181<paragraph role="tablecontent" id="par_idN11DF9" xml-lang="en-US" l10n="NEW" localize="false"> 182<item type="literal">artanh</item> 183</paragraph> 184</tablecell> 185<tablecell colspan="" rowspan=""> 186<paragraph role="tablecontent" id="par_id3166459" xml-lang="en-US" l10n="E"> 187<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> 188 </image></paragraph> 189</tablecell> 190<tablecell colspan="" rowspan=""> 191<paragraph role="tablecontent" id="par_id3143403" xml-lang="en-US" l10n="U" oldref="202">Inverse hyperbolic tangent</paragraph> 192</tablecell> 193</tablerow> 194<tablerow> 195<tablecell colspan="" rowspan=""> 196<paragraph role="tablecontent" id="par_idN11EBC" xml-lang="en-US" l10n="NEW" localize="false"> 197<item type="literal">backepsilon</item> 198</paragraph> 199</tablecell> 200<tablecell colspan="" rowspan=""/> 201<tablecell colspan="" rowspan=""> 202<paragraph role="tablecontent" id="par_id3143805" xml-lang="en-US" l10n="U" oldref="216">Back epsilon</paragraph> 203</tablecell> 204</tablerow> 205<tablerow> 206<tablecell colspan="" rowspan=""> 207<paragraph role="tablecontent" id="par_idN119E5" xml-lang="en-US" l10n="NEW" localize="false"> 208<item type="literal">cos</item> 209</paragraph> 210</tablecell> 211<tablecell colspan="" rowspan=""> 212<paragraph role="tablecontent" id="par_id3151649" xml-lang="en-US" l10n="E"> 213<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> 214 </image></paragraph> 215</tablecell> 216<tablecell colspan="" rowspan=""> 217<paragraph role="tablecontent" id="par_id3151770" xml-lang="en-US" l10n="U" oldref="176">Cosine</paragraph> 218</tablecell> 219</tablerow> 220<tablerow> 221<tablecell colspan="" rowspan=""> 222<paragraph role="tablecontent" id="par_idN11C71" xml-lang="en-US" l10n="NEW" localize="false"> 223<item type="literal">cosh</item> 224</paragraph> 225</tablecell> 226<tablecell colspan="" rowspan=""> 227<paragraph role="tablecontent" id="par_id3165576" xml-lang="en-US" l10n="E"> 228<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> 229 </image></paragraph> 230</tablecell> 231<tablecell colspan="" rowspan=""> 232<paragraph role="tablecontent" id="par_id3165696" xml-lang="en-US" l10n="U" oldref="192">Hyperbolic cosine</paragraph> 233</tablecell> 234</tablerow> 235<tablerow> 236<tablecell colspan="" rowspan=""> 237<paragraph role="tablecontent" id="par_idN11A67" xml-lang="en-US" l10n="NEW" localize="false"> 238<item type="literal">cot</item> 239</paragraph> 240</tablecell> 241<tablecell colspan="" rowspan=""> 242<paragraph role="tablecontent" id="par_id3151944" xml-lang="en-US" l10n="E"> 243<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> 244 </image></paragraph> 245</tablecell> 246<tablecell colspan="" rowspan=""> 247<paragraph role="tablecontent" id="par_id3152064" xml-lang="en-US" l10n="U" oldref="180">Cotangent</paragraph> 248</tablecell> 249</tablerow> 250<tablerow> 251<tablecell colspan="" rowspan=""> 252<paragraph role="tablecontent" id="par_idN11CF3" xml-lang="en-US" l10n="NEW" localize="false"> 253<item type="literal">coth</item> 254</paragraph> 255</tablecell> 256<tablecell colspan="" rowspan=""> 257<paragraph role="tablecontent" id="par_id3165871" xml-lang="en-US" l10n="E"> 258<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> 259 </image></paragraph> 260</tablecell> 261<tablecell colspan="" rowspan=""> 262<paragraph role="tablecontent" id="par_id3165991" xml-lang="en-US" l10n="U" oldref="196">Hyperbolic cotangent</paragraph> 263</tablecell> 264</tablerow> 265<tablerow> 266<tablecell colspan="" rowspan=""> 267<paragraph role="tablecontent" id="par_idN118E1" xml-lang="en-US" l10n="NEW" localize="false"> 268<item type="literal">exp</item> 269</paragraph> 270</tablecell> 271<tablecell colspan="" rowspan=""> 272<paragraph role="tablecontent" id="par_id3157074" xml-lang="en-US" l10n="E"> 273<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> 274 </image></paragraph> 275</tablecell> 276<tablecell colspan="" rowspan=""> 277<paragraph role="tablecontent" id="par_id3157194" xml-lang="en-US" l10n="U" oldref="206">General exponential function</paragraph> 278</tablecell> 279</tablerow> 280<tablerow> 281<tablecell colspan="" rowspan=""> 282<paragraph role="tablecontent" id="par_idN11E7B" xml-lang="en-US" l10n="NEW" localize="false"> 283<item type="literal">fact</item> 284</paragraph> 285</tablecell> 286<tablecell colspan="" rowspan=""> 287<paragraph role="tablecontent" id="par_id3143577" xml-lang="en-US" l10n="E"> 288<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> 289 </image></paragraph> 290</tablecell> 291<tablecell colspan="" rowspan=""> 292<paragraph role="tablecontent" id="par_id3143698" xml-lang="en-US" l10n="U" oldref="18">Factorial</paragraph> 293</tablecell> 294</tablerow> 295<tablerow> 296<tablecell colspan="" rowspan=""> 297<paragraph role="tablecontent" id="par_idN1185F" xml-lang="en-US" l10n="NEW" localize="false"> 298<item type="literal">func e^{}</item> 299</paragraph> 300</tablecell> 301<tablecell colspan="" rowspan=""> 302<paragraph role="tablecontent" id="par_id3156780" xml-lang="en-US" l10n="E"> 303<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> 304 </image></paragraph> 305</tablecell> 306<tablecell colspan="" rowspan=""> 307<paragraph role="tablecontent" id="par_id3156900" xml-lang="en-US" l10n="U" oldref="212">Natural exponential function</paragraph> 308</tablecell> 309</tablerow> 310<tablerow> 311<tablecell colspan="" rowspan=""> 312<paragraph role="tablecontent" id="par_idN118A0" xml-lang="en-US" l10n="NEW" localize="false"> 313<item type="literal">ln</item> 314</paragraph> 315</tablecell> 316<tablecell colspan="" rowspan=""> 317<paragraph role="tablecontent" id="par_id3156927" xml-lang="en-US" l10n="E"> 318<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> 319 </image></paragraph> 320</tablecell> 321<tablecell colspan="" rowspan=""> 322<paragraph role="tablecontent" id="par_id3157048" xml-lang="en-US" l10n="U" oldref="208">Natural logarithm</paragraph> 323</tablecell> 324</tablerow> 325<tablerow> 326<tablecell colspan="" rowspan=""> 327<paragraph role="tablecontent" id="par_idN11922" xml-lang="en-US" l10n="NEW" localize="false"> 328<item type="literal">log</item> 329</paragraph> 330</tablecell> 331<tablecell colspan="" rowspan=""> 332<paragraph role="tablecontent" id="par_id3157220" xml-lang="en-US" l10n="E"> 333<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> 334 </image></paragraph> 335</tablecell> 336<tablecell colspan="" rowspan=""> 337<paragraph role="tablecontent" id="par_id3157341" xml-lang="en-US" l10n="U" oldref="210">General logarithm</paragraph> 338</tablecell> 339</tablerow> 340<tablerow> 341<tablecell colspan="" rowspan=""> 342<paragraph role="tablecontent" id="par_idN11BEF" xml-lang="en-US" l10n="NEW" localize="false"> 343<item type="literal">nroot</item> 344</paragraph> 345</tablecell> 346<tablecell colspan="" rowspan=""> 347<paragraph role="tablecontent" id="par_id3165282" xml-lang="en-US" l10n="E"> 348<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> 349 </image></paragraph> 350</tablecell> 351<tablecell colspan="" rowspan=""> 352<paragraph role="tablecontent" id="par_id3165402" xml-lang="en-US" l10n="U" oldref="22">n-th root of x</paragraph> 353</tablecell> 354</tablerow> 355<tablerow> 356<tablecell colspan="" rowspan=""> 357<paragraph role="tablecontent" id="par_idN119A4" xml-lang="en-US" l10n="NEW" localize="false"> 358<item type="literal">sin</item> 359</paragraph> 360</tablecell> 361<tablecell colspan="" rowspan=""> 362<paragraph role="tablecontent" id="par_id3151502" xml-lang="en-US" l10n="E"> 363<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> 364 </image></paragraph> 365</tablecell> 366<tablecell colspan="" rowspan=""> 367<paragraph role="tablecontent" id="par_id3151623" xml-lang="en-US" l10n="U" oldref="174">Sine</paragraph> 368</tablecell> 369</tablerow> 370<tablerow> 371<tablecell colspan="" rowspan=""> 372<paragraph role="tablecontent" id="par_idN11C30" xml-lang="en-US" l10n="NEW" localize="false"> 373<item type="literal">sinh</item> 374</paragraph> 375</tablecell> 376<tablecell colspan="" rowspan=""> 377<paragraph role="tablecontent" id="par_id3165429" xml-lang="en-US" l10n="E"> 378<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> 379 </image></paragraph> 380</tablecell> 381<tablecell colspan="" rowspan=""> 382<paragraph role="tablecontent" id="par_id3165549" xml-lang="en-US" l10n="U" oldref="190">Hyperbolic sine</paragraph> 383</tablecell> 384</tablerow> 385<tablerow> 386<tablecell colspan="" rowspan=""> 387<paragraph role="tablecontent" id="par_idN11AA8" xml-lang="en-US" l10n="NEW" localize="false"> 388<item type="literal">sqrt</item> 389</paragraph> 390</tablecell> 391<tablecell colspan="" rowspan=""> 392<paragraph role="tablecontent" id="par_id3152091" xml-lang="en-US" l10n="E"> 393<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> 394 </image></paragraph> 395</tablecell> 396<tablecell colspan="" rowspan=""> 397<paragraph role="tablecontent" id="par_id3152211" xml-lang="en-US" l10n="U" oldref="20">Square root</paragraph> 398</tablecell> 399</tablerow> 400<tablerow> 401<tablecell colspan="" rowspan=""> 402<paragraph role="tablecontent" id="par_idN11EDE" xml-lang="en-US" l10n="NEW" localize="false"> 403<item type="literal">sub</item> 404</paragraph> 405</tablecell> 406<tablecell colspan="" rowspan=""/> 407<tablecell colspan="" rowspan=""> 408<paragraph role="tablecontent" id="par_id3143914" xml-lang="en-US" l10n="U" oldref="130">x with subscript n</paragraph> 409</tablecell> 410</tablerow> 411<tablerow> 412<tablecell colspan="" rowspan=""> 413<paragraph role="tablecontent" id="par_idN11963" xml-lang="en-US" l10n="NEW" localize="false"> 414<item type="literal">sup</item> 415</paragraph> 416</tablecell> 417<tablecell colspan="" rowspan=""> 418<paragraph role="tablecontent" id="par_id3157368" xml-lang="en-US" l10n="E"> 419<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> 420 </image></paragraph> 421</tablecell> 422<tablecell colspan="" rowspan=""> 423<paragraph role="tablecontent" id="par_id3151476" xml-lang="en-US" l10n="U" oldref="132">n-th power of x</paragraph> 424</tablecell> 425</tablerow> 426<tablerow> 427<tablecell colspan="" rowspan=""> 428<paragraph role="tablecontent" id="par_idN11A26" xml-lang="en-US" l10n="NEW" localize="false"> 429<item type="literal">tan</item> 430</paragraph> 431</tablecell> 432<tablecell colspan="" rowspan=""> 433<paragraph role="tablecontent" id="par_id3151796" xml-lang="en-US" l10n="E"> 434<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> 435 </image></paragraph> 436</tablecell> 437<tablecell colspan="" rowspan=""> 438<paragraph role="tablecontent" id="par_id3151917" xml-lang="en-US" l10n="U" oldref="178">Tangent</paragraph> 439</tablecell> 440</tablerow> 441<tablerow> 442<tablecell colspan="" rowspan=""> 443<paragraph role="tablecontent" id="par_idN11CB2" xml-lang="en-US" l10n="NEW" localize="false"> 444<item type="literal">tanh</item> 445</paragraph> 446</tablecell> 447<tablecell colspan="" rowspan=""> 448<paragraph role="tablecontent" id="par_id3165723" xml-lang="en-US" l10n="E"> 449<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> 450 </image></paragraph> 451</tablecell> 452<tablecell colspan="" rowspan=""> 453<paragraph role="tablecontent" id="par_id3165844" xml-lang="en-US" l10n="U" oldref="194">Hyperbolic tangent</paragraph> 454</tablecell> 455</tablerow> 456</table> 457<section id="relatedtopics"> 458<embed href="text/smath/01/03090400.xhp#funktionen"/> 459<embed href="text/smath/01/03091500.xhp#reference"/> 460</section> 461</body> 462</helpdocument> 463
