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="textsmath0103091508xml" indexer="include" status="PUBLISH"> 27<title id="tit" xml-lang="en-US">Brackets</title> 28<filename>/text/smath/01/03091508.xhp</filename> 29</topic> 30</meta> 31<body> 32<bookmark xml-lang="en-US" branch="index" id="bm_id3180620"> 33<bookmark_value>brackets; reference list</bookmark_value> 34</bookmark> 35<paragraph role="heading" id="hd_id4631488" xml-lang="en-US" level="1" l10n="NEW"><variable id="brackets"><link href="text/smath/01/03091508.xhp" name="Brackets">Brackets</link> 36</variable></paragraph> 37<table id="tbl_id3180641"> 38<tablerow> 39<tablecell colspan="" rowspan=""> 40<paragraph role="tablehead" id="par_idN12B53" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> 41</tablecell> 42<tablecell colspan="" rowspan=""> 43<paragraph role="tablehead" id="par_id3180684" xml-lang="en-US" l10n="U">Symbol in Elements Window</paragraph> 44</tablecell> 45<tablecell colspan="" rowspan=""> 46<paragraph role="tablehead" id="par_id3180753" xml-lang="en-US" l10n="U">Meaning</paragraph> 47</tablecell> 48</tablerow> 49<tablerow> 50<tablecell colspan="" rowspan=""> 51<paragraph role="tablecontent" id="par_idN12B6F" xml-lang="en-US" l10n="NEW" localize="false"> 52<item type="literal">(...)</item> 53</paragraph> 54</tablecell> 55<tablecell colspan="" rowspan=""> 56<paragraph role="tablecontent" id="par_id3180783" xml-lang="en-US" l10n="E"> 57<image id="img_id3180789" src="starmath/res/al21801.png" width="0.25inch" height="0.25inch"><alt id="alt_id3180789" xml-lang="en-US">Icon</alt> 58</image></paragraph> 59</tablecell> 60<tablecell colspan="" rowspan=""> 61<paragraph role="tablecontent" id="par_id3180903" xml-lang="en-US" l10n="U">Normal round left and right bracket</paragraph> 62</tablecell> 63</tablerow> 64<tablerow> 65<tablecell colspan="" rowspan=""> 66<paragraph role="tablecontent" id="par_idN12BA5" xml-lang="en-US" l10n="NEW" localize="false"> 67<item type="literal">[...]</item> 68</paragraph> 69</tablecell> 70<tablecell colspan="" rowspan=""> 71<paragraph role="tablecontent" id="par_id3180930" xml-lang="en-US" l10n="E"> 72<image id="img_id3180936" src="starmath/res/al21802.png" width="0.25inch" height="0.25inch"><alt id="alt_id3180936" xml-lang="en-US">Icon</alt> 73</image></paragraph> 74</tablecell> 75<tablecell colspan="" rowspan=""> 76<paragraph role="tablecontent" id="par_id3181050" xml-lang="en-US" l10n="U">Left and right square bracket</paragraph> 77</tablecell> 78</tablerow> 79<tablerow> 80<tablecell colspan="" rowspan=""> 81<paragraph role="tablecontent" id="par_idN12BDB" xml-lang="en-US" l10n="NEW" localize="false"> 82<item type="literal">ldbracket ... rdbracket</item> 83</paragraph> 84</tablecell> 85<tablecell colspan="" rowspan=""> 86<paragraph role="tablecontent" id="par_id3181078" xml-lang="en-US" l10n="E"> 87<image id="img_id3181084" src="starmath/res/al21823.png" width="0.25inch" height="0.25inch"><alt id="alt_id3181084" xml-lang="en-US">Icon</alt> 88</image></paragraph> 89</tablecell> 90<tablecell colspan="" rowspan=""> 91<paragraph role="tablecontent" id="par_id3181201" xml-lang="en-US" l10n="U">Left and right square double bracket</paragraph> 92</tablecell> 93</tablerow> 94<tablerow> 95<tablecell colspan="" rowspan=""> 96<paragraph role="tablecontent" id="par_idN12C11" xml-lang="en-US" l10n="NEW" localize="false"> 97<item type="literal">lline ... rline</item> 98</paragraph> 99</tablecell> 100<tablecell colspan="" rowspan=""> 101<paragraph role="tablecontent" id="par_id3181229" xml-lang="en-US" l10n="E"> 102<image id="img_id3181235" src="starmath/res/al21805.png" width="0.25inch" height="0.25inch"><alt id="alt_id3181235" xml-lang="en-US">Icon</alt> 103</image></paragraph> 104</tablecell> 105<tablecell colspan="" rowspan=""> 106<paragraph role="tablecontent" id="par_id3181350" xml-lang="en-US" l10n="U">Left and right vertical line</paragraph> 107</tablecell> 108</tablerow> 109<tablerow> 110<tablecell colspan="" rowspan=""> 111<paragraph role="tablecontent" id="par_idN12C47" xml-lang="en-US" l10n="NEW" localize="false"> 112<item type="literal">ldline ... rdline</item> 113</paragraph> 114</tablecell> 115<tablecell colspan="" rowspan=""> 116<paragraph role="tablecontent" id="par_id3181377" xml-lang="en-US" l10n="E"> 117<image id="img_id3181384" src="starmath/res/al21806.png" width="0.25inch" height="0.25inch"><alt id="alt_id3181384" xml-lang="en-US">Icon</alt> 118</image></paragraph> 119</tablecell> 120<tablecell colspan="" rowspan=""> 121<paragraph role="tablecontent" id="par_id3181498" xml-lang="en-US" l10n="U">Left and right double vertical lines</paragraph> 122</tablecell> 123</tablerow> 124<tablerow> 125<tablecell colspan="" rowspan=""> 126<paragraph role="tablecontent" id="par_idN12C7D" xml-lang="en-US" l10n="NEW" localize="false"> 127<item type="literal">lbrace ... rbrace</item> 128</paragraph> 129</tablecell> 130<tablecell colspan="" rowspan=""> 131<paragraph role="tablecontent" id="par_id3181525" xml-lang="en-US" l10n="E"> 132<image id="img_id3181532" src="starmath/res/al21804.png" width="0.25inch" height="0.25inch"><alt id="alt_id3181532" xml-lang="en-US">Icon</alt> 133</image></paragraph> 134</tablecell> 135<tablecell colspan="" rowspan=""> 136<paragraph role="tablecontent" id="par_id3181646" xml-lang="en-US" l10n="U">Left and right curly brackets, set bracket</paragraph> 137</tablecell> 138</tablerow> 139<tablerow> 140<tablecell colspan="" rowspan=""> 141<paragraph role="tablecontent" id="par_idN12CB3" xml-lang="en-US" l10n="NEW" localize="false"> 142<item type="literal">langle ... rangle</item> 143</paragraph> 144</tablecell> 145<tablecell colspan="" rowspan=""> 146<paragraph role="tablecontent" id="par_id3181674" xml-lang="en-US" l10n="E"> 147<image id="img_id3181680" src="starmath/res/al21803.png" width="0.25inch" height="0.25inch"><alt id="alt_id3181680" xml-lang="en-US">Icon</alt> 148</image></paragraph> 149</tablecell> 150<tablecell colspan="" rowspan=""> 151<paragraph role="tablecontent" id="par_id3181794" xml-lang="en-US" l10n="U">Left and right pointed bracket</paragraph> 152</tablecell> 153</tablerow> 154<tablerow> 155<tablecell colspan="" rowspan=""> 156<paragraph role="tablecontent" id="par_idN12CE9" xml-lang="en-US" l10n="NEW" localize="false"> 157<item type="literal">langle ... mline ... rangle</item> 158</paragraph> 159</tablecell> 160<tablecell colspan="" rowspan=""> 161<paragraph role="tablecontent" id="par_id3181822" xml-lang="en-US" l10n="E"> 162<image id="img_id3181828" src="starmath/res/al21821.png" width="0.25inch" height="0.25inch"><alt id="alt_id3181828" xml-lang="en-US">Icon</alt> 163</image></paragraph> 164</tablecell> 165<tablecell colspan="" rowspan=""> 166<paragraph role="tablecontent" id="par_id3181945" xml-lang="en-US" l10n="U">Left and right pointed operator bracket</paragraph> 167</tablecell> 168</tablerow> 169<tablerow> 170<tablecell colspan="" rowspan=""> 171<paragraph role="tablecontent" id="par_idN12D1F" xml-lang="en-US" l10n="NEW" localize="false"> 172<item type="literal">{...}</item> 173</paragraph> 174</tablecell> 175<tablecell colspan="" rowspan=""> 176<paragraph role="tablecontent" id="par_id3181973" xml-lang="en-US" l10n="E"> 177<image id="img_id3181980" src="starmath/res/al21808.png" width="0.25inch" height="0.25inch"><alt id="alt_id3181980" xml-lang="en-US">Icon</alt> 178</image></paragraph> 179</tablecell> 180<tablecell colspan="" rowspan=""> 181<paragraph role="tablecontent" id="par_id3182055" xml-lang="en-US" l10n="U">Left and right group bracket. They are not displayed in the document and do not take up any room.</paragraph> 182</tablecell> 183</tablerow> 184<tablerow> 185<tablecell colspan="" rowspan=""> 186<paragraph role="tablecontent" id="par_idN12D55" xml-lang="en-US" l10n="NEW" localize="false"> 187<item type="literal">left( ... right)</item> 188</paragraph> 189</tablecell> 190<tablecell colspan="" rowspan=""> 191<paragraph role="tablecontent" id="par_id3182083" xml-lang="en-US" l10n="E"> 192<image id="img_id3182090" src="starmath/res/al21809.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3182090" xml-lang="en-US">Icon</alt> 193</image></paragraph> 194</tablecell> 195<tablecell colspan="" rowspan=""> 196<paragraph role="tablecontent" id="par_id3182178" xml-lang="en-US" l10n="U">Brackets, scalable</paragraph> 197</tablecell> 198</tablerow> 199<tablerow> 200<tablecell colspan="" rowspan=""> 201<paragraph role="tablecontent" id="par_idN12D8B" xml-lang="en-US" l10n="NEW" localize="false"> 202<item type="literal">left[ ... right]</item> 203</paragraph> 204</tablecell> 205<tablecell colspan="" rowspan=""> 206<paragraph role="tablecontent" id="par_id3182210" xml-lang="en-US" l10n="E"> 207<image id="img_id3182216" src="starmath/res/al21810.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3182216" xml-lang="en-US">Icon</alt> 208</image></paragraph> 209</tablecell> 210<tablecell colspan="" rowspan=""> 211<paragraph role="tablecontent" id="par_id3182305" xml-lang="en-US" l10n="U">Square brackets, scalable</paragraph> 212</tablecell> 213</tablerow> 214<tablerow> 215<tablecell colspan="" rowspan=""> 216<paragraph role="tablecontent" id="par_idN12DC1" xml-lang="en-US" l10n="NEW" localize="false"> 217<item type="literal">left ldbracket ... right rdbracket</item> 218</paragraph> 219</tablecell> 220<tablecell colspan="" rowspan=""> 221<paragraph role="tablecontent" id="par_id3182332" xml-lang="en-US" l10n="E"> 222<image id="img_id3182339" src="starmath/res/al21824.png" width="0.25inch" height="0.25inch"><alt id="alt_id3182339" xml-lang="en-US">Icon</alt> 223</image></paragraph> 224</tablecell> 225<tablecell colspan="" rowspan=""> 226<paragraph role="tablecontent" id="par_id3182428" xml-lang="en-US" l10n="U">Double square brackets, scalable</paragraph> 227</tablecell> 228</tablerow> 229<tablerow> 230<tablecell colspan="" rowspan=""> 231<paragraph role="tablecontent" id="par_idN12DF7" xml-lang="en-US" l10n="NEW" localize="false"> 232<item type="literal">left lbrace ... right rbrace</item> 233</paragraph> 234</tablecell> 235<tablecell colspan="" rowspan=""> 236<paragraph role="tablecontent" id="par_id3182456" xml-lang="en-US" l10n="E"> 237<image id="img_id3182463" src="starmath/res/al21812.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3182463" xml-lang="en-US">Icon</alt> 238</image></paragraph> 239</tablecell> 240<tablecell colspan="" rowspan=""> 241<paragraph role="tablecontent" id="par_id3182551" xml-lang="en-US" l10n="U">Braces, scalable</paragraph> 242</tablecell> 243</tablerow> 244<tablerow> 245<tablecell colspan="" rowspan=""> 246<paragraph role="tablecontent" id="par_idN12E2D" xml-lang="en-US" l10n="NEW" localize="false"> 247<item type="literal">left lline ... right rline</item> 248</paragraph> 249</tablecell> 250<tablecell colspan="" rowspan=""> 251<paragraph role="tablecontent" id="par_id3182579" xml-lang="en-US" l10n="E"> 252<image id="img_id3182586" src="starmath/res/al21813.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3182586" xml-lang="en-US">Icon</alt> 253</image></paragraph> 254</tablecell> 255<tablecell colspan="" rowspan=""> 256<paragraph role="tablecontent" id="par_id3182674" xml-lang="en-US" l10n="U">Single lines, scalable</paragraph> 257</tablecell> 258</tablerow> 259<tablerow> 260<tablecell colspan="" rowspan=""> 261<paragraph role="tablecontent" id="par_idN12E63" xml-lang="en-US" l10n="NEW" localize="false"> 262<item type="literal">left ldline ... right rdline</item> 263</paragraph> 264</tablecell> 265<tablecell colspan="" rowspan=""> 266<paragraph role="tablecontent" id="par_id3182702" xml-lang="en-US" l10n="E"> 267<image id="img_id3182709" src="starmath/res/al21814.png" width="0.25inch" height="0.25inch"><alt id="alt_id3182709" xml-lang="en-US">Icon</alt> 268</image></paragraph> 269</tablecell> 270<tablecell colspan="" rowspan=""> 271<paragraph role="tablecontent" id="par_id3182797" xml-lang="en-US" l10n="U">Double lines, scalable</paragraph> 272</tablecell> 273</tablerow> 274<tablerow> 275<tablecell colspan="" rowspan=""> 276<paragraph role="tablecontent" id="par_idN12E99" xml-lang="en-US" l10n="NEW" localize="false"> 277<item type="literal">left angle ... right angle</item> 278</paragraph> 279</tablecell> 280<tablecell colspan="" rowspan=""> 281<paragraph role="tablecontent" id="par_id3182825" xml-lang="en-US" l10n="E"> 282<image id="img_id3182832" src="starmath/res/al21811.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3182832" xml-lang="en-US">Icon</alt> 283</image></paragraph> 284</tablecell> 285<tablecell colspan="" rowspan=""> 286<paragraph role="tablecontent" id="par_id3182920" xml-lang="en-US" l10n="U">Angle brackets, scalable</paragraph> 287</tablecell> 288</tablerow> 289<tablerow> 290<tablecell colspan="" rowspan=""> 291<paragraph role="tablecontent" id="par_idN12ECF" xml-lang="en-US" l10n="NEW" localize="false"> 292<item type="literal">left langle ... mline ... right rangle</item> 293</paragraph> 294</tablecell> 295<tablecell colspan="" rowspan=""> 296<paragraph role="tablecontent" id="par_id3182948" xml-lang="en-US" l10n="E"> 297<image id="img_id3182955" src="starmath/res/al21822.png" width="0.25inch" height="0.25inch"><alt id="alt_id3182955" xml-lang="en-US">Icon</alt> 298</image></paragraph> 299</tablecell> 300<tablecell colspan="" rowspan=""> 301<paragraph role="tablecontent" id="par_id3183043" xml-lang="en-US" l10n="U">Scalable left and right pointed operator bracket</paragraph> 302</tablecell> 303</tablerow> 304<tablerow> 305<tablecell colspan="" rowspan=""> 306<paragraph role="tablecontent" id="par_idN12F05" xml-lang="en-US" l10n="NEW" localize="false"> 307<item type="literal">overbrace</item> 308</paragraph> 309</tablecell> 310<tablecell colspan="" rowspan=""> 311<paragraph role="tablecontent" id="par_id3183072" xml-lang="en-US" l10n="E"> 312<image id="img_id3183078" src="starmath/res/al21825.png" width="0.25inch" height="0.25inch"><alt id="alt_id3183078" xml-lang="en-US">Icon</alt> 313</image></paragraph> 314</tablecell> 315<tablecell colspan="" rowspan=""> 316<paragraph role="tablecontent" id="par_id3183195" xml-lang="en-US" l10n="U">Scalable curly set bracket on top</paragraph> 317</tablecell> 318</tablerow> 319<tablerow> 320<tablecell colspan="" rowspan=""> 321<paragraph role="tablecontent" id="par_idN12F3B" xml-lang="en-US" l10n="NEW" localize="false"> 322<item type="literal">underbrace</item> 323</paragraph> 324</tablecell> 325<tablecell colspan="" rowspan=""> 326<paragraph role="tablecontent" id="par_id3183223" xml-lang="en-US" l10n="E"> 327<image id="img_id3183230" src="starmath/res/al21826.png" width="0.25inch" height="0.25inch"><alt id="alt_id3183230" xml-lang="en-US">Icon</alt> 328</image></paragraph> 329</tablecell> 330<tablecell colspan="" rowspan=""> 331<paragraph role="tablecontent" id="par_id3183346" xml-lang="en-US" l10n="U">Scalable curly set bracket below</paragraph> 332</tablecell> 333</tablerow> 334<tablerow> 335<tablecell colspan="" rowspan=""> 336<paragraph role="tablecontent" id="par_idN12F71" xml-lang="en-US" l10n="NEW" localize="false"> 337<item type="literal">lfloor ... rfloor</item> 338</paragraph> 339</tablecell> 340<tablecell colspan="" rowspan=""/> 341<tablecell colspan="" rowspan=""> 342<paragraph role="tablecontent" id="par_id3183456" xml-lang="en-US" l10n="U">Left and right line with lower edges</paragraph> 343</tablecell> 344</tablerow> 345<tablerow> 346<tablecell colspan="" rowspan=""> 347<paragraph role="tablecontent" id="par_idN12F88" xml-lang="en-US" l10n="NEW" localize="false"> 348<item type="literal">lceil ... rceil</item> 349</paragraph> 350</tablecell> 351<tablecell colspan="" rowspan=""/> 352<tablecell colspan="" rowspan=""> 353<paragraph role="tablecontent" id="par_id3183565" xml-lang="en-US" l10n="U">Left and right line with upper edges</paragraph> 354</tablecell> 355</tablerow> 356<tablerow> 357<tablecell colspan="" rowspan=""> 358<paragraph role="tablecontent" id="par_idN12F9F" xml-lang="en-US" l10n="NEW"> 359<item type="literal">\lbrace \rbrace</item> or <item type="literal">\{ \}</item> 360</paragraph> 361</tablecell> 362<tablecell colspan="" rowspan=""/> 363<tablecell colspan="" rowspan=""> 364<paragraph role="tablecontent" id="par_id3183648" xml-lang="en-US" l10n="U">Left curly bracket or right curly bracket</paragraph> 365</tablecell> 366</tablerow> 367<tablerow> 368<tablecell colspan="" rowspan=""> 369<paragraph role="tablecontent" id="par_idN12FBA" xml-lang="en-US" l10n="NEW" localize="false"> 370<item type="literal">\( \)</item> 371</paragraph> 372</tablecell> 373<tablecell colspan="" rowspan=""/> 374<tablecell colspan="" rowspan=""> 375<paragraph role="tablecontent" id="par_id3183733" xml-lang="en-US" l10n="U">Left and right round bracket</paragraph> 376</tablecell> 377</tablerow> 378<tablerow> 379<tablecell colspan="" rowspan=""> 380<paragraph role="tablecontent" id="par_idN12FD1" xml-lang="en-US" l10n="NEW" localize="false"> 381<item type="literal">\[ \]</item> 382</paragraph> 383</tablecell> 384<tablecell colspan="" rowspan=""/> 385<tablecell colspan="" rowspan=""> 386<paragraph role="tablecontent" id="par_id3183817" xml-lang="en-US" l10n="U">Left and right square bracket</paragraph> 387</tablecell> 388</tablerow> 389<tablerow> 390<tablecell colspan="" rowspan=""> 391<paragraph role="tablecontent" id="par_idN12FE8" xml-lang="en-US" l10n="NEW" localize="false"> 392<item type="literal">\langle \rangle</item> 393</paragraph> 394</tablecell> 395<tablecell colspan="" rowspan=""/> 396<tablecell colspan="" rowspan=""> 397<paragraph role="tablecontent" id="par_id3183901" xml-lang="en-US" l10n="U">Left and right pointed bracket</paragraph> 398</tablecell> 399</tablerow> 400<tablerow> 401<tablecell colspan="" rowspan=""> 402<paragraph role="tablecontent" id="par_idN12FFF" xml-lang="en-US" l10n="NEW" localize="false"> 403<item type="literal">\lline \rline</item> 404</paragraph> 405</tablecell> 406<tablecell colspan="" rowspan=""/> 407<tablecell colspan="" rowspan=""> 408<paragraph role="tablecontent" id="par_id3183985" xml-lang="en-US" l10n="U">Left and right vertical line</paragraph> 409</tablecell> 410</tablerow> 411<tablerow> 412<tablecell colspan="" rowspan=""> 413<paragraph role="tablecontent" id="par_idN13016" xml-lang="en-US" l10n="NEW" localize="false"> 414<item type="literal">\ldline \rdline</item> 415</paragraph> 416</tablecell> 417<tablecell colspan="" rowspan=""/> 418<tablecell colspan="" rowspan=""> 419<paragraph role="tablecontent" id="par_id3184069" xml-lang="en-US" l10n="U">Left and right double line</paragraph> 420</tablecell> 421</tablerow> 422<tablerow> 423<tablecell colspan="" rowspan=""> 424<paragraph role="tablecontent" id="par_idN1302F" xml-lang="en-US" l10n="NEW" localize="false"> 425<item type="literal">\lfloor \rfloor</item> 426</paragraph> 427</tablecell> 428<tablecell colspan="" rowspan=""/> 429<tablecell colspan="" rowspan=""> 430<paragraph role="tablecontent" id="par_id3184153" xml-lang="en-US" l10n="U">Left and right line with lower edges</paragraph> 431</tablecell> 432</tablerow> 433<tablerow> 434<tablecell colspan="" rowspan=""> 435<paragraph role="tablecontent" id="par_idN13046" xml-lang="en-US" l10n="NEW" localize="false"> 436<item type="literal">\lceil \rceil</item> 437</paragraph> 438</tablecell> 439<tablecell colspan="" rowspan=""/> 440<tablecell colspan="" rowspan=""> 441<paragraph role="tablecontent" id="par_id3184237" xml-lang="en-US" l10n="U">Left and right line with upper edges</paragraph> 442</tablecell> 443</tablerow> 444<tablerow> 445<tablecell colspan="" rowspan=""> 446<paragraph role="tablecontent" id="par_id3985717" xml-lang="en-US" l10n="NEW"> 447<item type="literal">none</item> 448</paragraph> 449</tablecell> 450<tablecell colspan="" rowspan=""/> 451<tablecell colspan="" rowspan=""> 452<paragraph role="tablecontent" id="par_id1778008" xml-lang="en-US" l10n="NEW">Qualifier to suppress one bracket, as in <item type="literal">right none </item> 453</paragraph> 454</tablecell> 455</tablerow> 456</table> 457<section id="relatedtopics"> 458<embed href="text/smath/01/03090500.xhp#klammern"/> 459<embed href="text/smath/01/03091500.xhp#reference"/> 460</section> 461</body> 462</helpdocument> 463
