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379:. Apparently not notable at all. Appearances in half a dozen research papers are not sufficient for a separate article, and there are no organisational reasons to keep this a separate article. The topic can be much better understood if treated in its proper context. Knowledge is an encyclopedia, not a dictionary. 326:
journal articles would be considered primary sources and other secondary, depending on content. Those that introduce the trigintaduonions or demonstrate new results concerning them would be primary sources. Those that rely on their reading public to be familiary with the trigintaduonions already or
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specifies that secondary sources should be used as evidence for notability. Journal article are considered primary sources. So appearance in the literature must include books or survey articles to be acceptable for this purpose. In any case, the references given don't seem to indicate whether they
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This is an example of the Cayley–Dickson construction applied multiple times. In theory, the construction could be applied an infinite number of times, but the resulting objects are only mathematically significant in the first few cases. We don't need an article on a mathematical concept simply
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without linking to that article, so here it is. I don't know how far down the sequence you can go and find objects worthy of an article. We have articles on particular four-digit integers that stand out as notable; maybe the same could be said of the 4379th object in this sequence. But some
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I have expanded the article somewhat and added reference. Since this algebra has a specific and recognised name, it does merit its own article. The point about technicality and accessibility is a recurring complaint about Knowledge mathematics articles, but is not grounds for deletion.
273:. While somewhat obscure, these do seem to appear in the literature. Regarding Mblumber's point about being technical: It's not at the moment much worse than many other math stubs. For a mathematician or math student I think it is acceptable. In the long run it will be made better. 526:
and redirect. When enough information is available (from enough sources), it might warrant its own article. At this point, though, it seems that this information would be more accessible and appropriate in the aforementioned article.
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because it is possible to define it. There is no evidence of notability from secondary sources and the article itself simply describes the construction while giving no information that does not directly follow from it.
160: 416:. It seems to me that the treatment of this algebra would be enriched by describing its provenance in the Cayley-Dickson construction and comparing its properties to those of other Cayley-Dickson algebras. 249:. Although true that one can in principle continue to apply the Cayley-Dickson construction infinitely, this seems to be the last notable case. (Of course, there is then the apparent paradox that the 355:
assertion of notability should be there. I agree with Mblumber that more context should have been there, but to say it looked like gibberish is far too extreme; the nature of the topic was clear.
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because it's so technical, it's bordering on gibberish. Unless someone writes an accessible introduction, it's not useful for a general audience. --
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just added to the article shouldn't be there even if the article were to be kept, but I'm not going to remove it.) We don't even know that this is
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This page is not completely finished, and there is little information on the subject, so it may take a while to finish.
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Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a
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Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a
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have appeared in a peer-reviewed journal, so your use of the term 'literature' is somewhat loose.--
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I have even expanded it just a little bit, but still, it is not completed. 15:50 12/20/09 (EST)
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The following discussion is an archived debate of the proposed deletion of the article below.
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would be notable by virtue of being the smallest non-notable such algebra ;-P)
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common name for the concept, even if the concept were worthy of mention in
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above. Google scholar has only 6 hits on the name. (The information that
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The above discussion is preserved as an archive of the debate.
544:. All the information in the article looks like it's already in 462:) unless a book or survey paper mentions it, as indicated by 548:, so all of the merges above really amount to deletes. 105: 101: 97: 167: 286:. I was wrong. Yes, primary sources don't suffice. 327:that mention them in passing would be secondary. 51:. Not much to merge, so I'll just redirect this. 39:). No further edits should be made to this page. 575:). No further edits should be made to this page. 181: 8: 437:. As it stands now, this little stub is a 7: 24: 281:) 16:33, 19 December 2009 (UTC) 18:Knowledge:Articles for deletion 1: 558:16:49, 22 December 2009 (UTC) 537:13:27, 22 December 2009 (UTC) 515:23:53, 20 December 2009 (UTC) 486:21:10, 20 December 2009 (UTC) 451:15:53, 20 December 2009 (UTC) 441:, albeit a mathematical one. 426:19:50, 19 December 2009 (UTC) 387:18:30, 19 December 2009 (UTC) 365:18:01, 19 December 2009 (UTC) 337:17:36, 24 December 2009 (UTC) 318:17:35, 19 December 2009 (UTC) 296:21:41, 19 December 2009 (UTC) 265:16:24, 19 December 2009 (UTC) 242:15:59, 19 December 2009 (UTC) 224:15:16, 19 December 2009 (UTC) 202:12:23, 19 December 2009 (UTC) 58:14:52, 26 December 2009 (UTC) 546:Cayley–Dickson construction 524:Cayley-Dickson construction 495:Cayley-Dickson construction 476:Cayley-Dickson construction 435:Cayley-Dickson construction 414:Cayley-Dickson construction 374:Cayley–Dickson construction 352:Cayley–Dickson construction 48:Cayley–Dickson construction 592: 568:Please do not modify it. 32:Please do not modify it. 210:. I nominated this for 350:Someone mentioned the 322:I'd have thought that 251:sexagintaquaternions 44:The result was 448: 583: 570: 446: 433:and redirect to 257: 186: 185: 171: 123: 113: 95: 34: 591: 590: 586: 585: 584: 582: 581: 580: 579: 573:deletion review 566: 255: 128: 119: 86: 72:Trigintaduonion 70: 67: 64:Trigintaduonion 37:deletion review 30: 22: 21: 20: 12: 11: 5: 589: 587: 578: 577: 561: 560: 539: 517: 507:JohnBlackburne 488: 468:Distortiondude 453: 428: 407: 406: 405: 403:Distortiondude 396:Distortiondude 389: 367: 344: 343: 342: 341: 340: 339: 299: 298: 267: 256:Sławomir Biały 244: 226: 189: 188: 125: 121:AfD statistics 66: 61: 42: 41: 25: 23: 15: 14: 13: 10: 9: 6: 4: 3: 2: 588: 576: 574: 569: 563: 562: 559: 555: 551: 547: 543: 540: 538: 534: 530: 525: 521: 518: 516: 512: 508: 504: 500: 496: 492: 489: 487: 484: 481: 477: 473: 469: 465: 461: 457: 454: 452: 449: 444: 440: 436: 432: 429: 427: 423: 419: 415: 411: 408: 404: 400: 399: 397: 393: 390: 388: 385: 382: 378: 375: 371: 368: 366: 362: 358: 357:Michael Hardy 353: 349: 346: 345: 338: 334: 330: 329:Michael Hardy 325: 321: 320: 319: 315: 311: 306: 305:WP:Notability 303: 302: 301: 300: 297: 293: 289: 285: 282: 280: 276: 272: 268: 266: 262: 258: 252: 248: 245: 243: 239: 235: 230: 227: 225: 221: 217: 213: 209: 206: 205: 204: 203: 199: 195: 184: 180: 177: 174: 170: 166: 162: 159: 156: 153: 150: 147: 144: 141: 138: 134: 131: 130:Find sources: 126: 122: 117: 111: 107: 103: 99: 94: 90: 85: 81: 77: 73: 69: 68: 65: 62: 60: 59: 56: 55: 50: 49: 40: 38: 33: 27: 26: 19: 567: 564: 541: 519: 490: 480:Arthur Rubin 471: 459: 455: 430: 409: 398:14:19 (EST) 391: 376: 369: 347: 323: 283: 270: 269: 246: 228: 207: 190: 178: 172: 164: 157: 151: 145: 139: 129: 52: 46:redirect to 45: 43: 31: 28: 501:if not the 155:free images 529:Spiral5800 439:WP:DICTDEF 503:Octonions 499:Sedenions 377:or delete 234:Gandalf61 216:Mblumber 116:View log 542:Comment 418:Plclark 348:Comment 161:WP refs 149:scholar 89:protect 84:history 483:(talk) 464:RDBury 460:delete 456:Userfy 310:RDBury 212:CSD G1 208:Delete 194:RDBury 133:Google 93:delete 522:into 520:Merge 493:into 491:Merge 478:. — 458:(aka 431:Merge 412:into 410:Merge 384:Adler 372:into 370:Merge 284:Merge 176:JSTOR 137:books 110:views 102:watch 98:links 16:< 554:talk 550:Ozob 533:talk 511:talk 505:. -- 447:ping 443:Pcap 422:talk 392:Keep 381:Hans 361:talk 333:talk 324:some 314:talk 292:talk 288:Ozob 279:talk 275:Ozob 271:Keep 261:talk 247:Keep 238:talk 229:Keep 220:talk 198:talk 169:FENS 143:news 106:logs 80:talk 76:edit 54:Tone 183:TWL 118:• 114:– ( 556:) 535:) 513:) 424:) 363:) 335:) 316:) 294:) 263:) 240:) 222:) 200:) 163:) 108:| 104:| 100:| 96:| 91:| 87:| 82:| 78:| 552:( 531:( 509:( 472:a 420:( 359:( 331:( 312:( 290:( 277:( 259:( 236:( 218:( 196:( 187:) 179:· 173:· 165:· 158:· 152:· 146:· 140:· 135:( 127:( 124:) 112:) 74:(

Index

Knowledge:Articles for deletion
deletion review
Cayley–Dickson construction
Tone
14:52, 26 December 2009 (UTC)
Trigintaduonion
Trigintaduonion
edit
talk
history
protect
delete
links
watch
logs
views
View log
AfD statistics
Google
books
news
scholar
free images
WP refs
FENS
JSTOR
TWL
RDBury
talk
12:23, 19 December 2009 (UTC)

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