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Talk:Distance geometry

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129: 119: 98: 21: 765: 731: 678: 654: 541: 474: 415: 393: 791: 563: 496: 633: 612: 67: 278: 1376:, I have just posted to the nominator's talk page that they need to take action, otherwise the nomination will likely close in a matter of days. May I suggest that if nothing is done, the nomination be closed by the end of September, or if you want to be exceptionally lenient, no later than October 4, two months after they posted 1173:"The following results are proved in Blumethal's book." – Some introduction instead of this would be useful as well as for previous point. Also the whole section probably should be largely reformatted. First question I come up with looking on the section is "why is it here?" and the second one is "what's going on here?". 1170:"A proof of this theorem in a slightly weakened form (...) is in ." – This information really has little encyclopedic significance. Simple inline citation would suffice. More importantly, theorem shouldn't just hang in the air. Please, provide some summarized info about its significance and usages. 248:, who destroyed all references to higher dimensions, which are crucial to the point of the article. Now someone in another forum is telling me that my link to this article is not much appreciated because it doesn't go into higher dimensions. I've restored the material that was destroyed. 1649:
The Cayley-Menger determinants given by the principal submatrices with elements of the 4, the first 3 and the first 2 lines satisfy the embedding conditions of Knowledge. However, the remaining three triangles of the potential tetrahedron do not fulfill the triangle inequality.
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In general, all issues seem easily fixable, except for "Characterization via ... determinants" section. This one seems to need a lot of improvement. Please, update here whenever you fix something or reply to comments. I'll look into it again later.
942:"Cayley–Menger determinants, named after Arthur Cayley and Karl Menger, are determinants of matrices of distances between sets of points." – why do the last column and row consist of ones then? 1532: 185: 516:, except for plot summaries and that which summarizes cited content elsewhere in the article, must be cited no later than the end of the paragraph (or line if the content is not in prose). 936:"affinely independent, iff they cannot ..." – using iff clause is not recommended for definitions. Simple if is ok here. Also I'd suggest not to write "A iff B iff C" and keep it simpler. 1210:
Thanks for your very detailed review. I just want to say that the first sentence was an astonishing coincidence, and there is no copyright violation. Now I'll have a cool story to tell.
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The whole section looks like a heap of facts somehow connected together. Starting here it's extremely hard to follow the lead and something should be done about this.
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And what's the context of hyperbolic navigation? It would be helpful to provide some reasoning on why do we know differences, but not exact time for each station.
306: 1184:"Thus, Cayley–Menger determinants give a concrete way to calculate whether a semimetric space can be embedded" – and what about ways to find such embedding? 1692: 748: 175: 527:
As for dimension (dimensionality?) reduction I don't even really see how it correlates with distance geometry. Some explanation here would be helpful.
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in their sole edit to this page. Under the circumstances and the more than generous delay, I certainly wouldn't leave it open any longer than that.
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section has no inline citations. Please, provide some, so it may be verified that concepts really belong to the topic and are introduced correctly.
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It actually seems that sentence in wikipedia article was there (since 2014) before the work (published in 2015), so maybe they just copied it.
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I would make one last effort to notify them. If they don't respond within a reasonable amount of time then you can just fail the nomination.--
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Hey folks. Just wanted to check in on how this review is progressing since there hasn't seem to been any progress in the past month. :) --
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This can easily be checked by means of a simple counterexample: According to Blumenthal, the semimetric space with the distance matrix
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Under “Characterization via Cayley–Menger determinants” it is noted that the following results are proved in Blumenthal's book .
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Unfortunately, that's wrong. The results presented by Knowledge only roughly reflect Blumenthal's work and contain errors.
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Since I have no time to update the page, I would have to leave it at that for now. Maybe later I'll update it as suggested.
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Still no response from the nominato and the date is October 4, so maybe time to fail this article.
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cannot be embedded in any space R, but according to the Knowledge article it can, namely for n=3.
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on Knowledge. If you would like to participate, please visit the project page, where you can join
1660: 1293: 1264: 1214: 774: 249: 134: 118: 97: 870:: positivity" – I suppose some verb is needed here, like "for all ... holds: ..." or something. 1610: 589: 521: 482:. it contains a list of all references (sources of information), presented in accordance with 48: 841: 1431: 1381: 1373: 1352: 1338: 1278: 1260: 1193: 717: 713: 345: 1437: 1109: 1012: 721: 668:: it represents viewpoints fairly and without editorial bias, giving due weight to each. 1044: 999: 483: 370: 1653:
These misrepresentations of the central theorem of distance geometry are not peanuts.
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are in Euclidean space. And article say it's for semimentric space. Where's the truth?
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is clearly a metric space, so it may not be possible to provide such an embedding in
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The times it takes for a radio signal to travel from the stations to the receiver,
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is used presumably for the speed of light. That should be clarified explicitly.
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for wikipedia articles. In particular, referring to "we" should be avoided.
641:. it stays focused on the topic without going into unnecessary detail (see 359: 337:. The edit link for this section can be used to add comments to the review. 257: 234: 211: 939:"then they make up the vertices of an" – I suppose it should be "a" here? 690:: it does not change significantly from day to day because of an ongoing 244:
A series of edits were done on this article on November 11 by
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It seems that the term is only used for molecules structure??
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There are numerous symbols used in the article that are
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at the time (October 4, 2019). There are suggestions on
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Is Cayley-Menger determinant connected in any way with
1176:"A necessary condition is easy to see" – no, it's not. 1554: 1503:
I hope someone can define in the article the symbols
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This is a terrible idea for an encyclopedia article.
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If it was taken from there, it may go as 1320: 266: 92: 1585: 1572: 1559: 1553: 1458: 1457: 1455: 1406: 1405: 1403: 1304: 1303: 1301: 1236: 1235: 1233: 1151: 1147: 1146: 1143: 1111: 1091: 1071: 1046: 1014: 979: 960: 954: 917: 913: 912: 909: 888: 884: 883: 880: 843: 813: 1604:Explicitly, we define a semimetric space 1459: 1407: 1305: 1237: 363: 1378:Maybe later I'll update it as suggested 297: 269: 94: 64: 1603: 1547: 1377: 1533:2601:200:C000:1A0:D814:9114:E269:A7A7 1167:." – what is meant here by congruent? 240:Destruction of material by Toninowiki 20: 7: 405:; spelling and grammar are correct. 140:This article is within the scope of 1467:{\displaystyle {\texttt {adamant}}} 1450:It seems so. Nomination is failed. 1415:{\displaystyle {\texttt {adamant}}} 1313:{\displaystyle {\texttt {adamant}}} 1245:{\displaystyle {\texttt {adamant}}} 401:. the prose is clear, concise, and 83:It is of interest to the following 988:{\displaystyle A_{0},\dots ,A_{n}} 632: 611: 14: 1693:Low-priority mathematics articles 1594:{\displaystyle t_{A},t_{B},t_{C}} 831:Please familiarize yourself with 160:Knowledge:WikiProject Mathematics 1160:{\displaystyle \mathbb {R} ^{n}} 926:{\displaystyle \mathbb {R} ^{k}} 897:{\displaystyle \mathbb {R} ^{k}} 808:In introduction and definitions 789: 763: 729: 676: 652: 631: 610: 561: 539: 494: 472: 413: 391: 163:Template:WikiProject Mathematics 127: 117: 96: 65: 19: 790: 562: 495: 180:This article has been rated as 1423:01:55, 26 September 2019 (UTC) 1390:01:51, 26 September 2019 (UTC) 1361:16:39, 22 September 2019 (UTC) 1327:12:36, 22 September 2019 (UTC) 1287:02:34, 20 September 2019 (UTC) 1125: 1113: 1028: 1016: 514:could reasonably be challenged 1: 1292:Hi. There was no update from 749:valid non-free use rationales 154:and see a list of open tasks. 1688:C-Class mathematics articles 1683:Former good article nominees 833:writing style in mathematics 764: 730: 677: 653: 540: 522:Introduction and definitions 473: 414: 392: 258:21:22, 25 January 2014 (UTC) 235:08:18, 24 January 2011 (UTC) 1475:10:13, 4 October 2019 (UTC) 1446:00:25, 4 October 2019 (UTC) 212:18:14, 3 October 2005 (UTC) 1709: 1615:18:55, 28 April 2022 (UTC) 1541:18:51, 28 April 2022 (UTC) 1253:03:52, 5 August 2019 (UTC) 1223:08:15, 4 August 2019 (UTC) 484:the layout style guideline 335:Talk:Distance geometry/GA1 37:, but it did not meet the 1202:01:51, 31 July 2019 (UTC) 1004:Euclidean distance matrix 947:Cayley-Menger determinant 701: 598: 454: 379: 369: 360:23:22, 29 July 2019 (UTC) 179: 112: 91: 1669:09:24, 2 July 2022 (UTC) 863:{\displaystyle x,y\in R} 366: 186:project's priority scale 33:Mathematics good article 949:it is said that points 777:to the topic, and have 592:. Any comments on this? 423:. it complies with the 143:WikiProject Mathematics 1595: 1468: 1416: 1314: 1294:pony in a strange land 1246: 1215:pony in a strange land 1161: 1132: 1100: 1080: 1060: 1035: 989: 927: 898: 864: 822: 73:This article is rated 1596: 1469: 1417: 1315: 1247: 1162: 1133: 1131:{\displaystyle (n+3)} 1106:, is congruent to an 1101: 1081: 1061: 1036: 1034:{\displaystyle (n+3)} 990: 928: 899: 865: 823: 603:Broad in its coverage 39:good article criteria 1643:8 4 2 0 1640:4 1 0 2 1637:3 0 1 4 1634:0 3 4 8 1552: 1454: 1402: 1300: 1232: 1142: 1110: 1090: 1070: 1045: 1013: 953: 933:. Any comments here? 908: 879: 842: 812: 694:or content dispute. 573:copyright violations 551:no original research 465:no original research 166:mathematics articles 1398:Yep, fine with me. 620:. it addresses the 512:. All content that 203:Molecules structure 29:was nominated as a 1591: 1464: 1412: 1310: 1242: 1157: 1128: 1096: 1076: 1059:{\displaystyle S'} 1056: 1031: 985: 923: 894: 860: 818: 801:Overall assessment 745:copyright statuses 708:, if possible, by 445:list incorporation 135:Mathematics portal 79:content assessment 1546:They're defined: 1461: 1409: 1329: 1307: 1239: 1208: 1207: 1138:-point subset of 1099:{\displaystyle S} 1079:{\displaystyle R} 821:{\displaystyle c} 779:suitable captions 751:are provided for 571:. it contains no 325: 324: 200: 199: 196: 195: 192: 191: 59: 58: 51:; it may then be 27:Distance geometry 1700: 1600: 1598: 1597: 1592: 1590: 1589: 1577: 1576: 1564: 1563: 1531:, among others. 1473: 1471: 1470: 1465: 1463: 1462: 1435: 1421: 1419: 1418: 1413: 1411: 1410: 1357: 1349: 1342: 1319: 1317: 1316: 1311: 1309: 1308: 1283: 1275: 1268: 1251: 1249: 1248: 1243: 1241: 1240: 1166: 1164: 1163: 1158: 1156: 1155: 1150: 1137: 1135: 1134: 1129: 1105: 1103: 1102: 1097: 1085: 1083: 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With 665:Neutral 441:fiction 184:on the 75:C-class 1661:K2357W 1524:, and 1347:Dom497 1273:Dom497 784:Check 758:Check 747:, and 741:tagged 714:images 697:Check 688:Stable 671:Check 556:Check 489:Check 450:Check 443:, and 433:layout 408:Check 81:scale. 1656:~~~~ 1009:"Any 722:audio 720:, or 718:video 710:media 463:with 367:Rate 333:from 209:Tosha 1665:talk 1611:talk 1537:talk 1442:talk 1386:talk 1355:talk 1281:talk 1263:and 1219:talk 1198:talk 586:here 508:are 350:talk 254:talk 231:talk 225:? — 1086:to 945:In 645:). 575:or 223:GPS 176:Low 1679:: 1667:) 1613:) 1539:) 1528:ij 1517:, 1510:, 1497:. 1444:) 1388:) 1359:) 1285:) 1221:) 1200:) 1192:-- 970:… 855:∈ 803:. 799:. 781:. 771:6b 755:. 737:6a 724:: 716:, 703:6. 686:. 662:. 639:3b 618:3a 605:: 600:3. 579:. 569:2d 553:. 547:2c 504:. 502:2b 486:. 480:2a 467:: 456:2. 447:. 439:, 435:, 431:, 421:1b 399:1a 386:: 381:1. 358:) 256:) 233:) 1663:( 1609:( 1587:C 1583:t 1579:, 1574:B 1570:t 1566:, 1561:A 1557:t 1535:( 1526:d 1521:C 1519:t 1514:B 1512:t 1507:A 1505:t 1440:( 1434:: 1430:@ 1384:( 1351:( 1341:: 1337:@ 1277:( 1267:: 1259:@ 1217:( 1196:( 1153:n 1148:R 1126:) 1123:3 1120:+ 1117:n 1114:( 1094:S 1074:R 1053:′ 1050:S 1029:) 1026:3 1023:+ 1020:n 1017:( 1006:? 981:n 977:A 973:, 967:, 962:0 958:A 919:k 914:R 890:k 885:R 858:R 852:y 849:, 846:x 816:c 797:7 684:5 660:4 353:· 348:( 252:( 229:( 188:. 87:: 55:.

Index

Mathematics good article
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the review page
please do
renominated

content assessment
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Mathematics
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icon
Mathematics portal
WikiProject Mathematics
mathematics
the discussion
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project's priority scale
Tosha
18:14, 3 October 2005 (UTC)
GPS
Mikhail Ryazanov
talk
08:18, 24 January 2011 (UTC)
user:Toninowiki
Michael Hardy
talk
21:22, 25 January 2014 (UTC)
Copyvio detector
Authorship

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