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Robert M. Thrall

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applied mathematics) at Rice University. He chaired the department from 1969 to 1974. In 1977 he received a joint appointment in Rice's newly established Graduate School of Business, where he taught
893: 266: 258: 243:. During WW II he began to study operations research and development of mathematical models for military applications. From 1957 to 1961 he was the editor-in-chief of 284:
He married Natalie Hunter in 1936. His wife died in 2004. Upon his death he was survived by a daughter, two sons, three grandchildren, and three great-grandchildren.
1068: 851: 1048: 1043: 827: 304: 1078: 780: 254: 1073: 1063: 887: 712:, University of Michigan Publications in Mathematics, vol. 1, Ann Arbor, Mich.: University of Michigan Press, 1058: 281:(DEA). Thrall was the author or co-author of over 100 articles in scholarly journals, as well as several books. 761: 737: 565: 229: 1053: 812: 551:. Annals of Mathematics Studies. Vol. 2. Princeton, N. J.: Princeton University Press. pp. 51–73. 244: 240: 217: 189:
in Ann Arbor. In 1969 he became a professor in the newly founded department of Mathematical Sciences (
278: 253:. From 1961 to 1965 Thrall was an associate editor for the journal. He was the 16th president of 225: 186: 182: 108: 77: 209: 1038: 1033: 717: 556: 8: 665:; Thrall, R.M. (1992). "Estimation of returns to scale using data envelopment analysis". 536: 213: 166: 98: 755: 726: 544: 150: 624: 607: 527: 510: 500: 483: 1010: 969: 776: 743: 733: 682: 678: 650: 646: 591: 470: 435: 400: 270: 250: 194: 136: 1005: 988: 937: 916: 465: 448: 430: 413: 395: 300: 1000: 961: 932: 705: 674: 642: 619: 581: 522: 495: 460: 425: 390: 178: 131: 73: 770: 713: 552: 221: 112: 952:
Fiala, F. (1973). "Linear Optimization (W. Allen Spivey and Robert M. Thrall)".
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to MBA Students. He retired from Rice University as professor emeritus in 1984.
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Seiford, Lawrence M.; Thrall, Robert M. (1990). "Recent developments in DEA".
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Fellows of the Institute for Operations Research and the Management Sciences
808: 662: 586: 569: 274: 201: 212:. His research accomplishments during that period include the celebrated 205: 146: 94: 261:) for a one-year term in 1969–1970. He was elected to the 2002 class of 701: 965: 277:, and other collaborators, he wrote a number of important papers on 239:
For two years, from 1940 to 1942, he was a visiting scholar at the
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Institute for Operations Research and the Management Sciences
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Institute for Operations Research and the Management Sciences
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Institute for Operations Research and the Management Sciences
185:. From 1937 to 1969 he was a professor of mathematics at the 414:"Apolarity of trilinear forms and pencils of bilinear forms" 535: 165:(1914–2006) was an American mathematician and a pioneer of 547:; Thrall, R. M. (1953). "The double description method". 200:
At the beginning of his career, Thrall's research was in
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Thrall, Robert M.; Tornheim, Leonard (1 January 1970).
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by Emil Artin, Cecil J. Nesbitt and Robert M. Thrall"
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and in 1937 with MA and PhD in mathematics from the
911: 563: 822: 820: 725: 700: 511:"On the projective structure of a modular lattice" 371: 488:Transactions of the American Mathematical Society 484:"Some generalization of quasi-Frobenius algebras" 1025: 612:Proceedings of the American Mathematical Society 515:Proceedings of the American Mathematical Society 817: 608:"A partition theorem for Euclidean $ n$ -space" 228:of a given shape (with J. Sutherland Frame and 1069:University of Illinois Urbana-Champaign alumni 993:Bulletin of the American Mathematical Society 632: 453:Bulletin of the American Mathematical Society 418:Bulletin of the American Mathematical Society 383:Bulletin of the American Mathematical Society 724:Spivey, W. Allen; Thrall, Robert M. (1970). 661: 1004: 989:"Book Review: Vector spaces and matrices" 936: 846: 844: 842: 840: 623: 585: 526: 499: 464: 429: 394: 945: 732:. New York: Holt, Rinehart and Winston. 667:European Journal of Operational Research 570:"The Hook Graphs of the Symmetric Group" 287: 606:; Thrall, R. M.; Wesler, Oscar (1958). 1026: 986: 837: 508: 481: 446: 411: 298: 177:Thrall graduated in 1935 with BA from 125:Metabelian groups and trilinear forms 951: 1049:21st-century American mathematicians 1044:20th-century American mathematicians 549:Contributions to the theory of games 255:The Institute of Management Sciences 13: 14: 1095: 625:10.1090/S0002-9939-1958-0097025-0 528:10.1090/S0002-9939-1951-0041104-4 501:10.1090/S0002-9947-1948-0026048-0 224:, or equivalently the number of 1006:10.1090/S0002-9904-1958-10177-9 938:10.1090/S0002-9904-1945-08398-0 574:Canadian Journal of Mathematics 466:10.1090/S0002-9904-1941-07447-1 431:10.1090/S0002-9904-1938-06841-3 396:10.1090/S0002-9904-1938-06768-7 301:"A note on numbers of the form 1079:University of Michigan faculty 980: 905: 880: 862: 828:"Robert McDowell Thrall Ph.D." 802: 1: 813:Mathematics Genealogy Project 796: 449:"A note on a theorem by Witt" 919:Rings with minimum condition 874:Institute for Advanced Study 710:Rings with Minimum Condition 708:; Thrall, Robert M. (1944), 679:10.1016/0377-2217(92)90178-C 647:10.1016/0304-4076(90)90045-U 241:Institute for Advanced Study 172: 7: 292: 10: 1100: 889:Fellows: Alphabetical List 772:Vector Spaces and Matrices 760:: CS1 maint: postscript ( 447:Thrall, Robert M. (1941). 299:Thrall, Robert M. (1938). 218:irreducible representation 279:data envelopment analysis 156: 142: 130: 118: 104: 90: 83: 69: 59: 43: 28: 21: 987:Nering, Evar D. (1958). 694: 568:; Thrall, R. M. (1954). 216:for the dimension of an 1074:Rice University faculty 1064:Illinois College alumni 775:. Courier Corporation. 635:Journal of Econometrics 226:standard Young tableaux 1059:Operations researchers 809:Robert McDowell Thrall 587:10.4153/CJM-1954-030-1 509:Thrall, R. M. (1951). 482:Thrall, R. M. (1948). 412:Thrall, R. M. (1938). 373: 187:University of Michigan 183:University of Illinois 163:Robert McDowell Thrall 109:University of Michigan 78:University of Illinois 16:American mathematician 925:Bull. Amer. Math. Soc 374: 288:Selected publications 210:representation theory 1054:American algebraists 750:; xii+530 p.; illus. 305: 913:Schilling, O. F. G. 728:Linear optimization 167:operations research 99:operations research 852:"Robert M. Thrall" 566:Robinson, G. de B. 369: 249:, as successor to 246:Management Science 214:hooklength formula 151:Gerald L. Thompson 39:September 23, 1914 870:"Robert M Thrall" 831:Houston Chronicle 782:978-0-486-62667-3 706:Nesbitt, Cecil J. 271:William W. Cooper 251:C. West Churchman 230:G. de B. Robinson 195:decision analysis 160: 159: 143:Doctoral students 137:Henry Roy Brahana 85:Scientific career 1091: 1019: 1018: 1008: 984: 978: 977: 949: 943: 942: 940: 909: 903: 902: 901: 900: 884: 878: 877: 866: 860: 859: 848: 835: 834: 833:. 30 April 2006. 824: 815: 806: 792: 786: 765: 759: 751: 731: 720: 690: 663:Banker, Rajiv D. 658: 629: 627: 599: 589: 560: 532: 530: 505: 503: 478: 468: 443: 433: 408: 398: 378: 376: 375: 370: 368: 367: 349: 348: 333: 332: 317: 316: 179:Illinois College 132:Doctoral advisor 74:Illinois College 50: 38: 36: 23:Robert M. Thrall 19: 18: 1099: 1098: 1094: 1093: 1092: 1090: 1089: 1088: 1024: 1023: 1022: 985: 981: 966:10.1137/1015119 950: 946: 910: 906: 898: 896: 886: 885: 881: 868: 867: 863: 850: 849: 838: 826: 825: 818: 807: 803: 799: 787: 783: 753: 752: 740: 697: 545:Thompson, G. L. 424:(10): 678–684. 363: 359: 344: 340: 328: 324: 312: 308: 306: 303: 302: 295: 290: 222:symmetric group 175: 149: 113:Rice University 111: 97: 76: 70:Alma mater 55: 52: 48: 34: 32: 24: 17: 12: 11: 5: 1097: 1087: 1086: 1081: 1076: 1071: 1066: 1061: 1056: 1051: 1046: 1041: 1036: 1021: 1020: 979: 960:(4): 807–809. 944: 904: 879: 861: 836: 816: 800: 798: 795: 794: 793: 791:. Wiley. 1957. 781: 766: 738: 721: 696: 693: 692: 691: 659: 630: 604:Samelson, Hans 600: 564:Frame, J. S.; 561: 537:Motzkin, T. S. 533: 506: 479: 459:(4): 303–309. 444: 409: 389:(6): 404–408. 366: 362: 358: 355: 352: 347: 343: 339: 336: 331: 327: 323: 320: 315: 311: 294: 291: 289: 286: 234:Richard Brauer 174: 171: 158: 157: 154: 153: 144: 140: 139: 134: 128: 127: 122: 116: 115: 106: 102: 101: 92: 88: 87: 81: 80: 71: 67: 66: 61: 57: 56: 53: 51:(aged 91) 47:April 11, 2006 45: 41: 40: 30: 26: 25: 22: 15: 9: 6: 4: 3: 2: 1096: 1085: 1082: 1080: 1077: 1075: 1072: 1070: 1067: 1065: 1062: 1060: 1057: 1055: 1052: 1050: 1047: 1045: 1042: 1040: 1037: 1035: 1032: 1031: 1029: 1016: 1012: 1007: 1002: 998: 994: 990: 983: 975: 971: 967: 963: 959: 955: 948: 939: 934: 930: 926: 922: 920: 914: 908: 895: 891: 890: 883: 875: 871: 865: 857: 853: 847: 845: 843: 841: 832: 829: 823: 821: 814: 810: 805: 801: 790: 784: 778: 774: 773: 767: 763: 757: 749: 745: 741: 735: 730: 729: 722: 719: 715: 711: 707: 703: 699: 698: 688: 684: 680: 676: 672: 668: 664: 660: 656: 652: 648: 644: 641:(1–2): 7–38. 640: 636: 631: 626: 621: 617: 613: 609: 605: 601: 597: 593: 588: 583: 579: 575: 571: 567: 562: 558: 554: 550: 546: 542: 538: 534: 529: 524: 520: 516: 512: 507: 502: 497: 493: 489: 485: 480: 476: 472: 467: 462: 458: 454: 450: 445: 441: 437: 432: 427: 423: 419: 415: 410: 406: 402: 397: 392: 388: 384: 380: 364: 360: 356: 353: 350: 345: 341: 337: 334: 329: 325: 321: 318: 313: 309: 297: 296: 285: 282: 280: 276: 272: 268: 264: 260: 256: 252: 248: 247: 242: 237: 235: 231: 227: 223: 219: 215: 211: 207: 203: 198: 196: 192: 188: 184: 180: 170: 168: 164: 155: 152: 148: 145: 141: 138: 135: 133: 129: 126: 123: 121: 117: 114: 110: 107: 103: 100: 96: 93: 89: 86: 82: 79: 75: 72: 68: 65: 62: 58: 46: 42: 31: 27: 20: 999:(2): 73–77. 996: 992: 982: 957: 953: 947: 928: 924: 918: 907: 897:, retrieved 888: 882: 873: 864: 855: 830: 804: 788: 771: 727: 709: 673:(1): 74–84. 670: 666: 638: 634: 615: 611: 577: 573: 548: 518: 514: 491: 487: 456: 452: 421: 417: 386: 382: 283: 275:Rajiv Banker 257:(TIMS) (now 245: 238: 202:group theory 199: 190: 176: 162: 161: 124: 105:Institutions 84: 54:Philadelphia 49:(2006-04-11) 1039:2006 deaths 1034:1914 births 954:SIAM Review 931:: 510–512. 917:"Review of 789:1st edition 702:Artin, Emil 580:: 316–324. 206:ring theory 147:Walter Feit 95:mathematics 60:Nationality 1028:Categories 899:2019-10-09 797:References 739:0030841739 618:(5): 805. 541:Raiffa, H. 35:1914-09-23 1015:0002-9904 974:0036-1445 756:cite book 687:0377-2217 655:0304-4076 596:0008-414X 475:0002-9904 440:0002-9904 405:0002-9904 357:β 354:α 338:β 322:α 173:Biography 915:(1945). 748:70125474 293:Articles 64:American 811:at the 718:0010543 557:0060202 521:: 146. 494:: 173. 269:. With 265:of the 263:Fellows 259:INFORMS 1013:  972:  779:  746:  736:  716:  685:  653:  594:  555:  473:  438:  403:  208:, and 120:Thesis 91:Fields 695:Books 220:of a 1011:ISSN 970:ISSN 777:ISBN 762:link 744:LCCN 734:ISBN 683:ISSN 651:ISSN 592:ISSN 471:ISSN 436:ISSN 401:ISSN 236:). 191:i.e. 44:Died 29:Born 1001:doi 962:doi 933:doi 675:doi 643:doi 620:doi 582:doi 523:doi 496:doi 461:doi 426:doi 391:doi 1030:: 1009:. 997:64 995:. 991:. 968:. 958:15 956:. 929:51 927:. 923:. 892:, 872:. 854:. 839:^ 819:^ 758:}} 754:{{ 742:. 714:MR 704:; 681:. 671:62 669:. 649:. 639:46 637:. 614:. 610:. 590:. 576:. 572:. 553:MR 543:; 539:; 517:. 513:. 492:64 490:. 486:. 469:. 457:47 455:. 451:. 434:. 422:44 420:. 416:. 399:. 387:44 385:. 381:. 273:, 204:, 169:. 1017:. 1003:: 976:. 964:: 941:. 935:: 876:. 858:. 785:. 764:) 689:. 677:: 657:. 645:: 628:. 622:: 616:9 598:. 584:: 578:6 559:. 531:. 525:: 519:2 504:. 498:: 477:. 463:: 442:. 428:: 407:. 393:: 379:" 365:2 361:d 351:+ 346:2 342:c 335:+ 330:2 326:b 319:+ 314:2 310:a 37:) 33:(

Index

American
Illinois College
University of Illinois
mathematics
operations research
University of Michigan
Rice University
Thesis
Doctoral advisor
Henry Roy Brahana
Walter Feit
Gerald L. Thompson
operations research
Illinois College
University of Illinois
University of Michigan
decision analysis
group theory
ring theory
representation theory
hooklength formula
irreducible representation
symmetric group
standard Young tableaux
G. de B. Robinson
Richard Brauer
Institute for Advanced Study
Management Science
C. West Churchman
The Institute of Management Sciences

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