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User:Robinh/sandbox

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1503:(insert random music here). You'd *love* that!". I have encountered an enormous amount of disbelief and hostility over this issue but I have simply had enough of pretending I like music, when actually I hate it, and have done all my life (I'm 45 yo). People seem quite threatened by my not liking music, for some reason. No-one minds someone saying "I don't like sport or computer games (or whatever)"; but music seems to be different. No-one has a problem with different people having different tastes in music (AFAICS) but a person who likes no music *at all* must be some sort of deviant threat to society. "Don't be silly! *Everyone* likes music!". 1510:, because there might be other people like me who don't like music but do not speak up because they don't want to be spoilsports. Is this valid? (2) Is there a word for the phenomenon where someone says "I like X. This guy does not like X. There must be something wrong with him and I'm gonna educate him"? (3) *is* music different in this respect from other things? 1482:
I hate music. To me, music is like an alarm clock or a (moderately distant) pneumatic drill: it annoys me and I just want it to stop. There is no circumstance where I would prefer to listen to music rather than to turn it off. Whenever I mention this to anyone, they say "Oh, that's because you
392:, and state that the term "diversity" comes from the appearance of a special case of their definition in work on phylogenetic and ecological diversities. They point out that diversities crop up in a broad range of contexts and give the following examples: 794: 1284: 1945: 562: 330: 390: 1750: 2053: 675: 835: 1180: 606: 1811: 472: 224: 1355: 253: 155: 1779: 1023: 884: 680: 190: 1962:
is a term used in connection with Jeff Michael Deck and Benjamin Douglas Herson who were reported in British and American news reports to have altered a sign post in the
1472: 1136: 1096: 957: 92: 1428: 1052: 913: 1627: 1310: 116: 1607: 1538: 1395: 997: 636: 430: 1185: 1816: 2019: 477: 258: 339: 1484: 1966:, correcting some grammatical errors. They covered up an erroneous apostrophe, replaced it in its correct place, and added a comma. 1638: 2039: 2086: 1630: 645: 799: 1141: 567: 1784: 439: 195: 2033: 2014: 1572: 1557: 1435: 1315: 232: 125: 789:{\displaystyle \delta (A)=\sum _{i}\max _{a,b}\left\{\left|a_{i}-b_{i}\right|\colon a,b\in A\right\}} 1758: 1002: 863: 160: 1948: 1445: 1109: 1069: 930: 65: 1404: 1028: 889: 854: 850: 1612: 1289: 101: 1994:
Bryant, David; Tupper, Paul (2012). "Hyperconvexity and tight-span theory for diversities".
1577: 1492: 1279:{\displaystyle \delta ^{(k)}(A)=\max \left\{\delta (B)\colon |B|\leq k,B\subseteq A\right\}} 1516: 1368: 970: 614: 403: 1565: 1507: 1561: 1500: 1496: 2096: 1974: 1963: 1398: 1055: 55: 1970: 1940:{\displaystyle C=C(n,p,\theta )=\sum _{k=0}^{n}p^{k}(1-p)^{n-k}\theta ^{n(n-k)}} 1488: 118:
is a function from the finite subsets of X to the non-negative reals satisfying
47: 17: 2092: 1549: 557:{\displaystyle \delta (A)=\max _{a,b\in A}d(a,b)=\operatorname {diam} (A)} 916: 336:
Bryant and Tupper prove that these axioms imply monotonicity, that is,
325:{\displaystyle \delta (A\cup C)\leq \delta (A\cup B)+\delta (B\cup C)} 385:{\displaystyle A\subseteq B\longrightarrow \delta (A)\leq \delta (B)} 611: 1513: 2081: 1506:
I have three questions: (1). I think this an example of the
58:. The concept was introduced by Bryant and Tupper in 2012. A 36:
This page is about generalized metric spaces. For society, see
1745:{\displaystyle Pr(Z=k)=C^{-1}p^{k}(1-p)^{n-k}\theta ^{k(n-k)}} 37: 1947:
is a normalization constant. The distribution is thus of
1571:
The distribution may be viewed as a generalization of the
1629:
which accounts for overdispersion. The distribution has
1755:
where 'n' is the size of the binomial distribution, and
2054:"Not Thanks, but Probation for Fixing Typos on a Sign" 1156: 582: 448: 1819: 1787: 1761: 1641: 1615: 1580: 1519: 1448: 1407: 1371: 1318: 1292: 1188: 1144: 1112: 1072: 1031: 1005: 973: 933: 892: 866: 802: 683: 648: 617: 570: 480: 442: 406: 342: 261: 235: 198: 163: 128: 104: 68: 2013:Altham, P.M.E. (1978). "Two Generalizations of the 1939: 1805: 1773: 1744: 1621: 1601: 1532: 1466: 1422: 1389: 1349: 1304: 1278: 1174: 1130: 1090: 1046: 1017: 991: 951: 907: 878: 829: 788: 669: 630: 600: 556: 466: 424: 384: 324: 247: 218: 184: 149: 110: 86: 1217: 710: 497: 432:be a metric space. Denoting finite subsets of 8: 2087:Typo vigilantes answer to letter of the law 670:{\displaystyle A\subseteq \mathbb {R} ^{n}} 830:{\displaystyle (\mathbb {R} ^{n},\delta )} 1916: 1900: 1878: 1868: 1857: 1818: 1786: 1760: 1721: 1705: 1683: 1670: 1640: 1614: 1579: 1524: 1518: 1447: 1406: 1370: 1332: 1317: 1291: 1248: 1240: 1193: 1187: 1175:{\displaystyle A\in \wp _{\mbox{fin}}(X)} 1155: 1143: 1111: 1071: 1030: 1004: 972: 932: 891: 865: 812: 808: 807: 801: 752: 739: 713: 703: 682: 661: 657: 656: 647: 622: 616: 601:{\displaystyle A\in \wp _{\mbox{fin}}(X)} 581: 569: 500: 479: 447: 441: 405: 341: 260: 234: 197: 162: 127: 103: 67: 2020:Journal of the Royal Statistical Society 2093:"Grammar vigilantes" brought to justice 1986: 1806:{\displaystyle 0\leqslant k\leqslant n} 2031: 54:is a generalization of the concept of 7: 1554:multiplicative binomial distribution 999:be a metric space. For each finite 467:{\displaystyle \wp _{\mbox{fin}}(X)} 219:{\displaystyle \left|A\right|\leq 1} 1960:Typo Eradication Advancement League 1609:that incorporates a new parameter 1152: 578: 444: 242: 24: 1350:{\displaystyle (X,\delta ^{(k)})} 248:{\displaystyle B\neq \emptyset } 150:{\displaystyle \delta (A)\geq 0} 1054:denote the minimum length of a 959:is a (phylogenetic) diversity. 43:Generalization of metric spaces 1932: 1920: 1897: 1884: 1847: 1829: 1737: 1725: 1702: 1689: 1660: 1648: 1596: 1584: 1568:. It was introduced in 1978 1461: 1449: 1417: 1411: 1384: 1372: 1344: 1339: 1333: 1319: 1249: 1241: 1234: 1228: 1211: 1205: 1200: 1194: 1169: 1163: 1125: 1113: 1085: 1073: 1041: 1035: 986: 974: 946: 934: 915:as the length of the smallest 902: 896: 824: 803: 693: 687: 595: 589: 551: 545: 533: 521: 490: 484: 461: 455: 419: 407: 379: 373: 364: 358: 352: 319: 307: 298: 286: 277: 265: 173: 167: 138: 132: 81: 69: 1: 2022:Series C (Applied Statistics) 1781:is the new parameter. Here 1774:{\displaystyle \theta >0} 1018:{\displaystyle A\subseteq X} 879:{\displaystyle A\subseteq X} 185:{\displaystyle \delta (A)=0} 1560:which can account for both 1556:is a generalization of the 1467:{\displaystyle (X,\delta )} 1131:{\displaystyle (X,\delta )} 1091:{\displaystyle (X,\delta )} 952:{\displaystyle (X,\delta )} 87:{\displaystyle (X,\delta )} 2116: 2038:: CS1 maint: postscript ( 1969:The story was reported on 1430:is defined for any finite 1423:{\displaystyle \delta (A)} 1047:{\displaystyle \delta (A)} 908:{\displaystyle \delta (A)} 35: 1631:probability mass function 1138:be a diversity. For all 1996:Advances in Mathematics 1622:{\displaystyle \theta } 1305:{\displaystyle k\geq 2} 1062:connecting elements in 111:{\displaystyle \delta } 1941: 1873: 1807: 1775: 1746: 1623: 1603: 1602:{\displaystyle B(n,p)} 1534: 1468: 1424: 1391: 1351: 1306: 1280: 1176: 1132: 1092: 1048: 1019: 993: 953: 909: 880: 841:Phylogenetic diversity 831: 790: 671: 632: 602: 558: 468: 426: 386: 326: 249: 220: 186: 151: 112: 88: 2015:Binomial distribution 1942: 1853: 1808: 1776: 1747: 1624: 1604: 1573:Binomial distribution 1558:binomial distribution 1535: 1533:{\displaystyle x^{6}} 1469: 1425: 1392: 1390:{\displaystyle (X,E)} 1352: 1307: 1281: 1177: 1133: 1093: 1049: 1020: 994: 992:{\displaystyle (X,d)} 954: 910: 881: 832: 791: 672: 633: 631:{\displaystyle L_{1}} 603: 559: 469: 427: 425:{\displaystyle (X,d)} 387: 327: 250: 221: 187: 152: 113: 89: 1817: 1813:is an integer, and 1785: 1759: 1639: 1613: 1578: 1517: 1446: 1405: 1369: 1316: 1290: 1186: 1142: 1110: 1070: 1029: 1003: 971: 931: 890: 864: 800: 681: 646: 615: 568: 478: 440: 404: 340: 259: 233: 196: 161: 126: 102: 66: 1973:and appears on the 1102:Truncated diversity 923:connecting taxa in 1949:exponential family 1937: 1803: 1771: 1742: 1619: 1599: 1530: 1464: 1420: 1387: 1347: 1302: 1276: 1172: 1160: 1128: 1088: 1044: 1015: 989: 949: 905: 876: 860:. For each finite 827: 786: 724: 708: 667: 628: 598: 586: 554: 517: 464: 452: 422: 396:Diameter diversity 382: 322: 245: 216: 182: 147: 108: 84: 1159: 963:Steiner diversity 851:phylogenetic tree 709: 699: 585: 496: 451: 2107: 2089:at AZcentral.com 2069: 2068: 2066: 2065: 2050: 2044: 2043: 2037: 2029: 2010: 2004: 2003: 1991: 1946: 1944: 1943: 1938: 1936: 1935: 1911: 1910: 1883: 1882: 1872: 1867: 1812: 1810: 1809: 1804: 1780: 1778: 1777: 1772: 1751: 1749: 1748: 1743: 1741: 1740: 1716: 1715: 1688: 1687: 1678: 1677: 1628: 1626: 1625: 1620: 1608: 1606: 1605: 1600: 1539: 1537: 1536: 1531: 1529: 1528: 1474:is a diversity. 1473: 1471: 1470: 1465: 1429: 1427: 1426: 1421: 1396: 1394: 1393: 1388: 1361:Clique diversity 1357:is a diversity. 1356: 1354: 1353: 1348: 1343: 1342: 1311: 1309: 1308: 1303: 1285: 1283: 1282: 1277: 1275: 1271: 1252: 1244: 1204: 1203: 1181: 1179: 1178: 1173: 1162: 1161: 1157: 1137: 1135: 1134: 1129: 1098:is a diversity. 1097: 1095: 1094: 1089: 1053: 1051: 1050: 1045: 1024: 1022: 1021: 1016: 998: 996: 995: 990: 958: 956: 955: 950: 914: 912: 911: 906: 885: 883: 882: 877: 837:is a diversity. 836: 834: 833: 828: 817: 816: 811: 795: 793: 792: 787: 785: 781: 762: 758: 757: 756: 744: 743: 723: 707: 676: 674: 673: 668: 666: 665: 660: 637: 635: 634: 629: 627: 626: 608:is a diversity. 607: 605: 604: 599: 588: 587: 583: 563: 561: 560: 555: 516: 473: 471: 470: 465: 454: 453: 449: 431: 429: 428: 423: 391: 389: 388: 383: 331: 329: 328: 323: 254: 252: 251: 246: 225: 223: 222: 217: 209: 191: 189: 188: 183: 156: 154: 153: 148: 117: 115: 114: 109: 93: 91: 90: 85: 2115: 2114: 2110: 2109: 2108: 2106: 2105: 2104: 2102: 2078: 2073: 2072: 2063: 2061: 2052: 2051: 2047: 2030: 2012: 2011: 2007: 1993: 1992: 1988: 1983: 1957: 1954: 1912: 1896: 1874: 1815: 1814: 1783: 1782: 1757: 1756: 1717: 1701: 1679: 1666: 1637: 1636: 1611: 1610: 1576: 1575: 1566:underdispersion 1547: 1544: 1520: 1515: 1514: 1508:Abilene paradox 1485:William Shatner 1480: 1444: 1443: 1434:as the largest 1403: 1402: 1367: 1366: 1363: 1328: 1314: 1313: 1288: 1287: 1224: 1220: 1189: 1184: 1183: 1151: 1140: 1139: 1108: 1107: 1104: 1068: 1067: 1027: 1026: 1001: 1000: 969: 968: 965: 929: 928: 888: 887: 862: 861: 843: 806: 798: 797: 748: 735: 734: 730: 729: 725: 679: 678: 655: 644: 643: 642:For all finite 640: 618: 613: 612: 577: 566: 565: 476: 475: 443: 438: 437: 402: 401: 398: 338: 337: 257: 256: 231: 230: 199: 194: 193: 192:if and only if 159: 158: 124: 123: 100: 99: 64: 63: 44: 41: 34: 22: 21: 20: 12: 11: 5: 2113: 2111: 2100: 2099: 2090: 2084: 2082:TEAL home page 2077: 2076:External links 2074: 2071: 2070: 2058:New York Times 2045: 2005: 1985: 1984: 1982: 1979: 1934: 1931: 1928: 1925: 1922: 1919: 1915: 1909: 1906: 1903: 1899: 1895: 1892: 1889: 1886: 1881: 1877: 1871: 1866: 1863: 1860: 1856: 1852: 1849: 1846: 1843: 1840: 1837: 1834: 1831: 1828: 1825: 1822: 1802: 1799: 1796: 1793: 1790: 1770: 1767: 1764: 1753: 1752: 1739: 1736: 1733: 1730: 1727: 1724: 1720: 1714: 1711: 1708: 1704: 1700: 1697: 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1734: 1731: 1728: 1722: 1718: 1712: 1709: 1706: 1698: 1695: 1692: 1684: 1680: 1674: 1671: 1667: 1663: 1657: 1654: 1651: 1645: 1642: 1635: 1634: 1633: 1632: 1616: 1593: 1590: 1587: 1581: 1574: 1569: 1567: 1563: 1559: 1555: 1551: 1545: 1542: 1540: 1525: 1521: 1511: 1509: 1504: 1502: 1498: 1497:Justin Bieber 1494: 1490: 1486: 1477: 1475: 1458: 1455: 1452: 1441: 1437: 1433: 1414: 1408: 1400: 1381: 1378: 1375: 1360: 1358: 1336: 1329: 1325: 1322: 1299: 1296: 1293: 1272: 1268: 1265: 1262: 1259: 1256: 1253: 1245: 1237: 1231: 1225: 1221: 1214: 1208: 1197: 1190: 1166: 1148: 1145: 1122: 1119: 1116: 1101: 1099: 1082: 1079: 1076: 1065: 1061: 1057: 1038: 1032: 1012: 1009: 1006: 983: 980: 977: 962: 960: 943: 940: 937: 926: 922: 918: 899: 893: 873: 870: 867: 859: 856: 852: 848: 840: 838: 821: 818: 813: 782: 778: 775: 772: 769: 766: 763: 759: 753: 749: 745: 740: 736: 731: 726: 720: 717: 714: 704: 700: 696: 690: 684: 677:if we define 662: 652: 649: 623: 619: 609: 592: 574: 571: 548: 542: 539: 536: 530: 527: 524: 518: 513: 510: 507: 504: 501: 493: 487: 481: 458: 435: 416: 413: 410: 395: 393: 376: 370: 367: 361: 355: 349: 346: 343: 316: 313: 310: 304: 301: 295: 292: 289: 283: 280: 274: 271: 268: 262: 239: 236: 228: 213: 210: 206: 203: 200: 179: 176: 170: 164: 144: 141: 135: 129: 121: 120: 119: 105: 98:is a set and 97: 78: 75: 72: 61: 57: 53: 49: 39: 31: 26: 25: 19: 2101: 2097:Language Log 2062:. Retrieved 2060:. 2008-08-23 2057: 2048: 2034:cite journal 2025: 2018: 2008: 2002:: 3172–3198. 1999: 1995: 1989: 1975:Language Log 1968: 1964:Grand Canyon 1959: 1956: 1953: 1754: 1570: 1553: 1546: 1543: 1512: 1505: 1481: 1439: 1431: 1364: 1105: 1063: 1059: 1056:Steiner tree 966: 924: 920: 857: 846: 844: 641: 433: 399: 335: 95: 59: 56:metric space 51: 45: 1971:BBC Radio 4 1489:The Ramones 1286:. Then if 474:, defining 48:mathematics 18:User:Robinh 2064:2008-08-27 1981:References 1550:statistics 62:is a pair 1927:− 1914:θ 1905:− 1891:− 1855:∑ 1845:θ 1798:⩽ 1792:⩽ 1763:θ 1732:− 1719:θ 1710:− 1696:− 1672:− 1617:θ 1493:Schonberg 1459:δ 1409:δ 1330:δ 1297:≥ 1266:⊆ 1254:≤ 1238:: 1226:δ 1191:δ 1153:℘ 1149:∈ 1123:δ 1083:δ 1033:δ 1010:⊆ 944:δ 894:δ 886:, define 871:⊆ 855:taxon set 822:δ 776:∈ 764:: 746:− 701:∑ 685:δ 653:⊆ 638:diversity 579:℘ 575:∈ 543:⁡ 511:∈ 482:δ 445:℘ 371:δ 368:≤ 356:δ 353:⟶ 347:⊆ 314:∪ 305:δ 293:∪ 284:δ 281:≤ 272:∪ 263:δ 243:∅ 240:≠ 211:≤ 165:δ 142:≥ 130:δ 106:δ 79:δ 60:diversity 52:diversity 32:Diversity 27:Diversity 1066:. Then 927:. Then 564:for all 229:(D2) If 1442:, then 1182:define 1058:within 917:subtree 1951:form. 1552:, the 1436:clique 1401:, and 1025:, let 122:(D1) 94:where 1478:music 1399:graph 1397:is a 853:with 849:is a 796:then 255:then 157:with 16:< 2040:link 1958:The 1766:> 1564:and 1106:Let 967:Let 540:diam 400:Let 50:, a 2095:on 2017:". 2000:231 1548:In 1438:of 1365:If 1312:, 1218:max 1158:fin 919:of 845:If 711:max 584:fin 498:max 450:fin 436:by 46:In 38:dog 2056:. 2036:}} 2032:{{ 2026:27 2024:. 1998:. 1977:. 1541:} 2067:. 2042:) 1933:) 1930:k 1924:n 1921:( 1918:n 1908:k 1902:n 1898:) 1894:p 1888:1 1885:( 1880:k 1876:p 1870:n 1865:0 1862:= 1859:k 1851:= 1848:) 1842:, 1839:p 1836:, 1833:n 1830:( 1827:C 1824:= 1821:C 1801:n 1795:k 1789:0 1769:0 1738:) 1735:k 1729:n 1726:( 1723:k 1713:k 1707:n 1703:) 1699:p 1693:1 1690:( 1685:k 1681:p 1675:1 1668:C 1664:= 1661:) 1658:k 1655:= 1652:Z 1649:( 1646:r 1643:P 1597:) 1594:p 1591:, 1588:n 1585:( 1582:B 1526:6 1522:x 1499:/ 1495:/ 1491:/ 1487:/ 1462:) 1456:, 1453:X 1450:( 1440:A 1432:A 1418:) 1415:A 1412:( 1385:) 1382:E 1379:, 1376:X 1373:( 1345:) 1340:) 1337:k 1334:( 1326:, 1323:X 1320:( 1300:2 1294:k 1273:} 1269:A 1263:B 1260:, 1257:k 1250:| 1246:B 1242:| 1235:) 1232:B 1229:( 1222:{ 1215:= 1212:) 1209:A 1206:( 1201:) 1198:k 1195:( 1170:) 1167:X 1164:( 1146:A 1126:) 1120:, 1117:X 1114:( 1086:) 1080:, 1077:X 1074:( 1064:A 1060:X 1042:) 1039:A 1036:( 1013:X 1007:A 987:) 984:d 981:, 978:X 975:( 947:) 941:, 938:X 935:( 925:A 921:T 903:) 900:A 897:( 874:X 868:A 858:X 847:T 825:) 819:, 814:n 809:R 804:( 783:} 779:A 773:b 770:, 767:a 760:| 754:i 750:b 741:i 737:a 732:| 727:{ 721:b 718:, 715:a 705:i 697:= 694:) 691:A 688:( 663:n 658:R 650:A 624:1 620:L 596:) 593:X 590:( 572:A 552:) 549:A 546:( 537:= 534:) 531:b 528:, 525:a 522:( 519:d 514:A 508:b 505:, 502:a 494:= 491:) 488:A 485:( 462:) 459:X 456:( 434:X 420:) 417:d 414:, 411:X 408:( 380:) 377:B 374:( 365:) 362:A 359:( 350:B 344:A 332:. 320:) 317:C 311:B 308:( 302:+ 299:) 296:B 290:A 287:( 278:) 275:C 269:A 266:( 237:B 226:. 214:1 207:| 204:A 201:| 180:0 177:= 174:) 171:A 168:( 145:0 139:) 136:A 133:( 96:X 82:) 76:, 73:X 70:( 40:.

Index

User:Robinh
dog
mathematics
metric space
phylogenetic tree
taxon set
subtree
Steiner tree
graph
clique
William Shatner
The Ramones
Schonberg
Justin Bieber
The Birdy Song
Abilene paradox
x 6 {\displaystyle x^{6}}
statistics
binomial distribution
overdispersion
underdispersion
Binomial distribution
probability mass function
exponential family
Grand Canyon
BBC Radio 4
Language Log
Binomial distribution
Journal of the Royal Statistical Society
cite journal

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