599:
201:
594:
659:
1170:
669:
56:
126:
91:
992:
450:
1189:
952:
161:
376:
927:
544:
574:
569:
281:
76:
918:, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount
371:
1165:
346:
1175:
1129:
1104:
524:
1302:
882:
534:
276:
1322:
738:
356:
509:
251:
1054:
529:
351:
226:
887:
1018:
609:
584:
176:
156:
1292:
1049:
987:
1201:
1089:
801:
772:
559:
411:
171:
111:
81:
46:
1160:
724:
291:
1224:
858:
821:
796:
719:
649:
619:
589:
246:
241:
66:
972:
1265:
1212:
704:
639:
503:
221:
96:
1119:
982:
654:
554:
539:
236:
231:
1260:
921:
791:
41:
1297:
664:
579:
514:
489:
475:
341:
1250:
1084:
853:
564:
336:
311:
131:
121:
101:
71:
1139:
1046:, the statement that the least-squares estimators in certain linear models are the best linear unbiased estimators
937:
1275:
1150:
1114:
1064:
962:
947:
843:
811:
767:
644:
391:
271:
261:
106:
51:
1043:
1028:
186:
1008:
977:
460:
321:
17:
1099:
967:
957:
806:
604:
549:
445:
406:
401:
386:
211:
146:
86:
1155:
1124:
1033:
1013:
1003:
915:
694:
455:
191:
181:
166:
136:
116:
256:
1229:
1109:
1074:
877:
816:
709:
629:
519:
440:
396:
331:
266:
206:
196:
61:
1317:
1270:
1079:
482:
29:
1059:
1038:
997:
932:
910:
872:
743:
689:
465:
151:
36:
1245:
1144:
1069:
1023:
892:
848:
786:
425:
216:
141:
1094:
826:
714:
684:
316:
1287:
1240:
1134:
899:
831:
748:
731:
679:
470:
326:
306:
301:
699:
674:
1255:
1207:
634:
381:
286:
1000:, a bound on the largest absolute value of a linear combination of bounded random variables
1219:
1235:
942:
779:
435:
1311:
865:
614:
418:
753:
624:
903:
296:
430:
1182:
496:
924:, an upper bound on the variance of any bounded probability distribution
760:
16:
This article lists
Knowledge (XXG) articles about named mathematical
364:
1147:, a lower bound on the average waiting time in certain queues
600:
Gromov's systolic inequality for essential manifolds
202:Khabibullin's conjecture on integral inequalities
595:Gromov's inequality for complex projective space
670:Minkowski's first inequality for convex bodies
57:Bernstein's inequality (mathematical analysis)
8:
377:Inequality of arithmetic and geometric means
127:GagliardoâNirenberg interpolation inequality
928:Bernstein inequalities (probability theory)
660:Milman's reverse BrunnâMinkowski inequality
1190:Berger's inequality for Einstein manifolds
1171:Vitale's random BrunnâMinkowski inequality
92:ChebyshevâMarkovâStieltjes inequalities
575:Clifford's theorem on special divisors
993:DvoretzkyâKieferâWolfowitz inequality
570:Cheng's eigenvalue comparison theorem
7:
1303:List of set identities and relations
1166:Talagrand's concentration inequality
451:LubellâYamamotoâMeshalkin inequality
347:Wirtinger's inequality for functions
1130:Popoviciu's inequality on variances
953:BurkholderâDavisâGundy inequalities
372:HardyâLittlewood maximal inequality
162:HardyâLittlewoodâSobolev inequality
1196:Inequalities particular to physics
849:Weyl's inequality in matrix theory
739:Inequalities in information theory
14:
1055:Gaussian isoperimetric inequality
1105:MarcinkiewiczâZygmund inequality
545:BogomolovâMiyaokaâYau inequality
525:BergerâKazdan comparison theorem
24:Inequalities in pure mathematics
1293:List of mathematical identities
1176:VysochanskiĂŻâPetunin inequality
1050:Gaussian correlation inequality
357:Young's inequality for products
282:RayleighâFaberâKrahn inequality
77:BorellâBrascampâLieb inequality
1206:Bell's inequality – see
1161:Stochastic Gronwall inequality
725:Wirtinger inequality (2-forms)
352:Young's convolution inequality
292:Riesz rearrangement inequality
1:
1266:Riemannian Penrose inequality
1232:â any of several inequalities
705:Riemannian Penrose inequality
565:CastelnuovoâSeveri inequality
510:AlexandrovâFenchel inequality
504:List of triangle inequalities
252:MashreghiâRansford inequality
988:Doob's martingale inequality
530:BlaschkeâLebesgue inequality
227:LandauâKolmogorov inequality
72:BohnenblustâHille inequality
1298:Lists of mathematics topics
1019:FannesâAudenaert inequality
883:PĂłlyaâVinogradov inequality
859:Poincaré separation theorem
822:Sylvester's rank inequality
812:Hoffman-Wielandt inequality
610:HadwigerâFinsler inequality
590:Euler's theorem in geometry
535:BlaschkeâSantalĂł inequality
476:Stirling's formula (bounds)
426:Binomial coefficient bounds
277:PrĂ©kopaâLeindler inequality
247:Markov brothers' inequality
242:Littlewood's 4/3 inequality
177:HermiteâHadamard inequality
157:HardyâLittlewood inequality
1339:
1213:Bell's original inequality
1202:AhlswedeâDaykin inequality
1090:KunitaâWatanabe inequality
854:Cauchy interlacing theorem
802:GoldenâThompson inequality
773:PisierâRingrose inequality
640:Loewner's torus inequality
560:BrunnâMinkowski inequality
501:
222:Ladyzhenskaya's inequality
172:HausdorffâYoung inequality
97:Chebyshev's sum inequality
82:BrezisâGallouet inequality
47:BabenkoâBeckner inequality
1323:Mathematics-related lists
1225:ClausiusâDuhem inequality
888:TurĂĄnâKubilius inequality
797:CauchyâSchwarz inequality
650:LoomisâWhitney inequality
620:HitchinâThorpe inequality
363:Inequalities relating to
67:BihariâLaSalle inequality
1120:PaleyâZygmund inequality
1009:Entropy power inequality
978:Concentration inequality
720:Weitzenböck's inequality
625:Isoperimetric inequality
585:ErdĆsâMordell inequality
580:Cohn-Vossen's inequality
555:BrascampâLieb inequality
540:BishopâGromov inequality
515:Aristarchus's inequality
461:Rearrangement inequality
342:Von Neumann's inequality
322:Three spheres inequality
237:LiebâThirring inequality
232:LebedevâMilin inequality
1261:LeggettâGarg inequality
1251:Heisenberg's inequality
1085:Kolmogorov's inequality
948:Burkholder's inequality
922:BhatiaâDavis inequality
838:Eigenvalue inequalities
792:BregmanâMinc inequality
412:SteinâStrömberg theorem
312:Steffensen's inequality
137:Grothendieck inequality
122:Friedrichs's inequality
112:FeketeâSzegĆ inequality
102:Clarkson's inequalities
42:AskeyâGasper inequality
1276:Tsirelson's inequality
1230:Correlation inequality
1151:Samuelson's inequality
1115:McDiarmid's inequality
1065:Hoeffding's inequality
1029:Fefferman's inequality
973:ChungâErdĆs inequality
963:Chebyshev's inequality
878:Large sieve inequality
844:Bendixson's inequality
768:Abhyankar's inequality
665:MilnorâWood inequality
645:Ćojasiewicz inequality
483:Differential equations
392:Maclaurin's inequality
272:Popoviciu's inequality
262:Minkowski's inequality
207:Kantorovich inequality
142:Grunsky's inequalities
107:Eilenberg's inequality
52:Bernoulli's inequality
1271:Rushbrooke inequality
1140:RaoâBlackwell theorem
1100:Lenglart's inequality
1080:Khintchine inequality
983:CramĂ©râRao inequality
968:Chernoff's inequality
958:Cantelli's inequality
938:BorellâTIS inequality
807:Hadamard's inequality
655:Melchior's inequality
605:Hadamard's inequality
550:Bonnesen's inequality
490:Grönwall's inequality
446:Ingleton's inequality
407:Newton's inequalities
402:Muirhead's inequality
387:Levinson's inequality
212:Karamata's inequality
147:Hanner's inequalities
87:Carleman's inequality
1246:Griffiths inequality
1156:Shearer's inequality
1125:Pinsker's inequality
1044:GaussâMarkov theorem
1034:Fréchet inequalities
1014:Etemadi's inequality
916:Bennett's inequality
695:Ptolemy's inequality
456:Nesbitt's inequality
337:TurĂĄn's inequalities
192:Jackson's inequality
182:Hilbert's inequality
167:Harnack's inequality
132:GĂ„rding's inequality
117:Fenchel's inequality
1110:Markov's inequality
1075:Jensen's inequality
827:Triangle inequality
817:Peetre's inequality
715:Triangle inequality
710:Toponogov's theorem
630:Jordan's inequality
520:Barrow's inequality
441:Fisher's inequality
397:Mahler's inequality
332:Trudinger's theorem
267:Poincaré inequality
197:Jensen's inequality
187:Hölder's inequality
62:Bessel's inequality
1288:Comparison theorem
1241:Ginibre inequality
1135:Prophet inequality
1060:Gibbs's inequality
1039:Gauss's inequality
1004:Emery's inequality
998:Eaton's inequality
933:Boole's inequality
911:Azuma's inequality
900:Probability theory
873:Bonse's inequality
832:Trace inequalities
749:Log sum inequality
744:Kraft's inequality
732:Information theory
690:Pedoe's inequality
680:Noether inequality
471:Shapiro inequality
466:Schur's inequality
327:Trace inequalities
307:Sobolev inequality
302:Shapiro inequality
257:Maxâmin inequality
152:Hardy's inequality
37:Agmon's inequality
1256:Holley inequality
1145:Ross's conjecture
1070:Hoeffding's lemma
1024:Fano's inequality
893:Weyl's inequality
787:Abel's inequality
382:Ky Fan inequality
217:Korn's inequality
1330:
1095:Le Cam's theorem
685:Ono's inequality
431:Factorial bounds
317:SzegĆ inequality
287:Remez inequality
1338:
1337:
1333:
1332:
1331:
1329:
1328:
1327:
1308:
1307:
1284:
1220:CHSH inequality
1198:
1186:
907:
869:
840:
783:
764:
735:
700:Pu's inequality
675:Myers's theorem
506:
500:
486:
422:
368:
33:
26:
12:
11:
5:
1336:
1334:
1326:
1325:
1320:
1310:
1309:
1306:
1305:
1300:
1295:
1290:
1283:
1280:
1279:
1278:
1273:
1268:
1263:
1258:
1253:
1248:
1243:
1238:
1236:FKG inequality
1233:
1227:
1222:
1217:
1216:
1215:
1208:Bell's theorem
1204:
1197:
1194:
1193:
1192:
1185:
1180:
1179:
1178:
1173:
1168:
1163:
1158:
1153:
1148:
1142:
1137:
1132:
1127:
1122:
1117:
1112:
1107:
1102:
1097:
1092:
1087:
1082:
1077:
1072:
1067:
1062:
1057:
1052:
1047:
1041:
1036:
1031:
1026:
1021:
1016:
1011:
1006:
1001:
995:
990:
985:
980:
975:
970:
965:
960:
955:
950:
945:
943:BRS-inequality
940:
935:
930:
925:
919:
913:
906:
897:
896:
895:
890:
885:
880:
875:
868:
863:
862:
861:
856:
851:
846:
839:
836:
835:
834:
829:
824:
819:
814:
809:
804:
799:
794:
789:
782:
780:Linear algebra
777:
776:
775:
770:
763:
758:
757:
756:
751:
746:
741:
734:
729:
728:
727:
722:
717:
712:
707:
702:
697:
692:
687:
682:
677:
672:
667:
662:
657:
652:
647:
642:
637:
635:Jung's theorem
632:
627:
622:
617:
612:
607:
602:
597:
592:
587:
582:
577:
572:
567:
562:
557:
552:
547:
542:
537:
532:
527:
522:
517:
512:
499:
494:
493:
492:
485:
480:
479:
478:
473:
468:
463:
458:
453:
448:
443:
438:
436:XYZ inequality
433:
428:
421:
416:
415:
414:
409:
404:
399:
394:
389:
384:
379:
374:
367:
361:
360:
359:
354:
349:
344:
339:
334:
329:
324:
319:
314:
309:
304:
299:
294:
289:
284:
279:
274:
269:
264:
259:
254:
249:
244:
239:
234:
229:
224:
219:
214:
209:
204:
199:
194:
189:
184:
179:
174:
169:
164:
159:
154:
149:
144:
139:
134:
129:
124:
119:
114:
109:
104:
99:
94:
89:
84:
79:
74:
69:
64:
59:
54:
49:
44:
39:
32:
27:
25:
22:
13:
10:
9:
6:
4:
3:
2:
1335:
1324:
1321:
1319:
1316:
1315:
1313:
1304:
1301:
1299:
1296:
1294:
1291:
1289:
1286:
1285:
1281:
1277:
1274:
1272:
1269:
1267:
1264:
1262:
1259:
1257:
1254:
1252:
1249:
1247:
1244:
1242:
1239:
1237:
1234:
1231:
1228:
1226:
1223:
1221:
1218:
1214:
1211:
1210:
1209:
1205:
1203:
1200:
1199:
1195:
1191:
1188:
1187:
1184:
1181:
1177:
1174:
1172:
1169:
1167:
1164:
1162:
1159:
1157:
1154:
1152:
1149:
1146:
1143:
1141:
1138:
1136:
1133:
1131:
1128:
1126:
1123:
1121:
1118:
1116:
1113:
1111:
1108:
1106:
1103:
1101:
1098:
1096:
1093:
1091:
1088:
1086:
1083:
1081:
1078:
1076:
1073:
1071:
1068:
1066:
1063:
1061:
1058:
1056:
1053:
1051:
1048:
1045:
1042:
1040:
1037:
1035:
1032:
1030:
1027:
1025:
1022:
1020:
1017:
1015:
1012:
1010:
1007:
1005:
1002:
999:
996:
994:
991:
989:
986:
984:
981:
979:
976:
974:
971:
969:
966:
964:
961:
959:
956:
954:
951:
949:
946:
944:
941:
939:
936:
934:
931:
929:
926:
923:
920:
917:
914:
912:
909:
908:
905:
901:
898:
894:
891:
889:
886:
884:
881:
879:
876:
874:
871:
870:
867:
866:Number theory
864:
860:
857:
855:
852:
850:
847:
845:
842:
841:
837:
833:
830:
828:
825:
823:
820:
818:
815:
813:
810:
808:
805:
803:
800:
798:
795:
793:
790:
788:
785:
784:
781:
778:
774:
771:
769:
766:
765:
762:
759:
755:
752:
750:
747:
745:
742:
740:
737:
736:
733:
730:
726:
723:
721:
718:
716:
713:
711:
708:
706:
703:
701:
698:
696:
693:
691:
688:
686:
683:
681:
678:
676:
673:
671:
668:
666:
663:
661:
658:
656:
653:
651:
648:
646:
643:
641:
638:
636:
633:
631:
628:
626:
623:
621:
618:
616:
615:Hinge theorem
613:
611:
608:
606:
603:
601:
598:
596:
593:
591:
588:
586:
583:
581:
578:
576:
573:
571:
568:
566:
563:
561:
558:
556:
553:
551:
548:
546:
543:
541:
538:
536:
533:
531:
528:
526:
523:
521:
518:
516:
513:
511:
508:
507:
505:
498:
495:
491:
488:
487:
484:
481:
477:
474:
472:
469:
467:
464:
462:
459:
457:
454:
452:
449:
447:
444:
442:
439:
437:
434:
432:
429:
427:
424:
423:
420:
419:Combinatorics
417:
413:
410:
408:
405:
403:
400:
398:
395:
393:
390:
388:
385:
383:
380:
378:
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370:
369:
366:
362:
358:
355:
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350:
348:
345:
343:
340:
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335:
333:
330:
328:
325:
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318:
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310:
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285:
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278:
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268:
265:
263:
260:
258:
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250:
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233:
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210:
208:
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125:
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120:
118:
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113:
110:
108:
105:
103:
100:
98:
95:
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88:
85:
83:
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78:
75:
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70:
68:
65:
63:
60:
58:
55:
53:
50:
48:
45:
43:
40:
38:
35:
34:
31:
28:
23:
21:
19:
1318:Inequalities
754:Welch bounds
18:inequalities
15:
1312:Categories
904:statistics
502:See also:
297:Schur test
1282:See also
1183:Topology
497:Geometry
30:Analysis
761:Algebra
365:means
902:and
1314::
20:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.