316:
for engineering applications. Impressed with its innovations, a reviewer wrote, "common sense, ingenuity and originality in applying first principles are still competitive with other creative forms of the intellect." The methods of
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587:
183:(1909 – October 29, 1996) was an American physicist, known for his contributions to electrical transmission theory and to the development of
1593:
901:
336:
76:
1578:
351:'s Monie A. Ferst Award for 1984 in recognition of his ability as a teacher and communicator. He was elected to the 2002 class of
978:
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340:
88:
1588:
329:
1573:
994:
239:
92:
1264:
1046:
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344:
286:
106:
1511:
1224:
629:
271:
96:
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259:
134:
328:
Duffin would remain at
Carnegie Mellon until his retirement in 1988. Duffin was also a consultant to
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put forward a conjecture in metric diophantine approximation which was resolved in 2020 by
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255:
66:
1599:
Fellows of the
Institute for Operations Research and the Management Sciences
692:
1323:
1240:
1200:
1160:
1152:
639:
247:
732:(2010) "The Bott-Duffin Synthesis of Electrical Circuits", pages 33–40 in
873:
275:
756:(1941-06-01). "Khinchin's problem in metric Diophantine approximation".
679:
1311:
1248:
1104:
951:
369:
313:
309:
267:
251:
164:
634:
886:
1395:
929:"Richard James Duffin | American Academy of Arts and Sciences"
825:
736:, P. Robert Kotiuga editor, CRM Proceedings and Lecture Notes #50,
348:
262:. He wrote a letter of recommendation to Princeton University for
212:
204:
124:
352:
1001:
Institute for
Operations Research and the Management Sciences
902:"Richard Duffin, 87, Researcher In Many Areas of Mathematics"
718:
Institute for
Operations Research and the Management Sciences
357:
Institute for
Operations Research and the Management Sciences
266:, later a Nobel laureate. In 1949, Duffin and his student
1604:
Members of the United States
National Academy of Sciences
372:) "Impedance synthesis without the use of transformers",
216:
967:
Profiles in
Operations Research: Pioneers and Innovators
734:
806:
250:. His wartime work was devoted to the development of
1045:
871:. By R. J. Duffin, E. L. Peterson and C. Zener".
807:Koukoulopoulos, Dimitris; Maynard, James (2020).
426:Transactions of the American Mathematical Society
258:. In 1946, he became professor of mathematics at
1555:
536:Proceedings of the American Mathematical Society
863:
748:
382:
965:Assad, Arjang A.; Gass, Saul I., eds. (2011).
1031:
869:Geometric Programming—Theory and Applications
588:Bulletin of the American Mathematical Society
495:"An analysis of the Wang algebra of networks"
229:Galvanomagnetic and Thermomagnetic Phenomena
272:generalized method of synthesising networks
1038:
1024:
659:
657:
655:
583:"Some problems of mathematics and science"
459:"Exponential decays in nonlinear networks"
418:
77:University of Illinois at Urbana-Champaign
964:
824:
600:
548:
510:
474:
438:
400:
343:in 1974. He was joint winner of the 1982
383:Duffin, R. J.; Schaeffer, A. C. (1952).
362:
278:which were required in earlier methods.
893:
652:
385:"A class of nonharmonic Fourier series"
215:in 1932. He stayed at Illinois for his
194:
1584:Grainger College of Engineering alumni
1556:
946:. 1973–1974 (1973/1974): 69–72. 1973.
580:
528:
492:
456:
1609:John von Neumann Theory Prize winners
1019:
899:
709:
707:
705:
663:
341:American Academy of Arts and Sciences
900:Dicke, William (November 10, 1996).
809:"On the Duffin-Schaeffer conjecture"
531:"The reciprocal of a Fourier series"
942:"New Members Elected May 8, 1974".
308:by introducing a generalization of
13:
1594:Carnegie Mellon University faculty
969:. New York, NY: Springer. p.
702:
14:
1620:
550:10.1090/s0002-9939-1962-0145259-x
512:10.1090/s0002-9947-1959-0109161-6
476:10.1090/s0002-9939-1956-0083366-8
440:10.1090/s0002-9947-1953-0056573-x
402:10.1090/s0002-9947-1952-0047179-6
330:Westinghouse Electric Corporation
86:Work on electrical network theory
1579:20th-century American physicists
419:Bott, R.; Duffin, R. J. (1953).
238:and Illinois before joining the
987:
958:
935:
664:C.I.J (1984). "Sigma Xi News".
602:10.1090/s0002-9904-1974-13618-9
565:1967: (with Elmor Peterson and
921:
857:
800:
742:
723:
686:
227:, producing a thesis entitled
1:
1047:John von Neumann Theory Prize
770:10.1215/S0012-7094-41-00818-9
738:American Mathematical Society
697:Mathematics Genealogy Project
645:
381:1952: (with A. C. Schaeffer)
345:John von Neumann Theory Prize
107:John von Neumann Theory Prize
421:"On the algebra of networks"
337:National Academy of Sciences
304:which developed a branch of
300:and Elmor Peterson to write
7:
843:10.4007/annals.2020.192.1.5
835:10.4007/annals.2020.192.1.5
618:
335:Duffin was inducted to the
296:In 1967 Duffin joined with
93:Duffin–Schaeffer conjecture
10:
1625:
996:Fellows: Alphabetical List
375:Journal of Applied Physics
321:are sometimes adapted for
260:Carnegie Mellon University
211:, where he was elected to
135:Carnegie Mellon University
1589:Purdue University faculty
1292:
1053:
758:Duke Mathematical Journal
174:
160:
144:
130:
120:
113:
102:
82:
72:
62:
43:
28:
21:
306:mathematical programming
55:Pittsburgh, Pennsylvania
1574:Scientists from Chicago
291:Dimitris Koukoulopoulos
219:, which was advised by
187:and other areas within
1536:Christos Papadimitriou
1376:Arthur F. Veinott, Jr.
1281:R. Tyrrell Rockafellar
944:Records of the Academy
625:Frame (linear algebra)
581:Duffin, R. J. (1974).
529:Duffin, R. J. (1962).
499:Trans. Amer. Math. Soc
493:Duffin, R. J. (1959).
457:Duffin, R. J. (1956).
389:Trans. Amer. Math. Soc
209:University of Illinois
1456:Jean Bernard Lasserre
813:Annals of Mathematics
575:John Wiley & Sons
571:Geometric Programming
463:Proc. Amer. Math. Soc
417:1953: (with R. Bott)
363:Selected publications
319:geometric programming
302:Geometric Programming
264:John Forbes Nash, Jr.
185:geometric programming
97:Bott–Duffin synthesis
281:In 1941, Duffin and
195:Education and career
181:Richard James Duffin
1368:Alexander Schrijver
1344:J. Michael Harrison
867:(1968). "Review of
339:in 1972 and to the
323:convex optimization
234:Duffin lectured at
189:operations research
1540:Mihalis Yannakakis
1500:Dimitris Bertsimas
1320:Donald L. Iglehart
1304:Manfred W. Padberg
931:. 9 February 2023.
907:The New York Times
667:American Scientist
240:Carnegie Institute
199:Duffin obtained a
16:American physicist
1551:
1550:
1544:
1532:
1524:
1520:Alexander Shapiro
1516:
1508:
1496:
1488:Dimitri Bertsekas
1484:
1472:
1460:
1448:
1440:
1432:
1420:
1416:Gérard Cornuéjols
1412:
1400:
1388:
1380:
1372:
1356:
1348:
1340:
1332:Arkadi Nemirovski
1328:
1316:
1308:
1285:
1277:
1269:
1261:
1257:Peter C. Fishburn
1253:
1245:
1237:
1229:
1217:
1209:Richard E. Barlow
1205:
1197:
1189:
1181:
1173:
1165:
1157:
1149:
1141:
1137:Richard J. Duffin
1133:William W. Cooper
1125:
1117:
1101:
1093:
1081:
1073:
1065:
980:978-1-441-96280-5
714:Richard J. Duffin
630:Parallel addition
567:Clarence M. Zener
236:Purdue University
221:Harold Mott-Smith
178:
177:
161:Doctoral students
151:Harold Mott-Smith
139:Purdue University
115:Scientific career
36:Chicago, Illinois
1616:
1542:
1530:
1522:
1514:
1506:
1494:
1482:
1470:
1468:Ruth J. Williams
1464:Martin I. Reiman
1458:
1446:
1438:
1430:
1424:George Nemhauser
1418:
1410:
1398:
1386:
1378:
1370:
1360:Martin Grötschel
1354:
1346:
1338:
1326:
1314:
1306:
1300:Ellis L. Johnson
1283:
1275:
1267:
1259:
1251:
1243:
1235:
1227:
1215:
1203:
1195:
1187:
1185:Herbert A. Simon
1179:
1171:
1163:
1155:
1147:
1139:
1123:
1115:
1113:Albert W. Tucker
1099:
1091:
1089:Carlton E. Lemke
1079:
1071:
1063:
1040:
1033:
1026:
1017:
1016:
1010:
1009:
1008:
1007:
991:
985:
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962:
956:
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939:
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919:
918:
916:
914:
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891:
890:
861:
855:
854:
828:
804:
798:
797:
754:Schaeffer, A. C.
746:
740:
727:
721:
711:
700:
690:
684:
683:
661:
614:
604:
595:(6): 1053–1070.
562:
552:
524:
514:
488:
478:
469:(6): 1094–1106.
452:
442:
414:
404:
347:, and winner of
244:Washington, D.C.
146:Doctoral advisor
50:
47:October 29, 1996
19:
18:
1624:
1623:
1619:
1618:
1617:
1615:
1614:
1613:
1554:
1553:
1552:
1547:
1492:John Tsitsiklis
1476:Donald Goldfarb
1436:Michel Balinski
1428:Laurence Wolsey
1336:Michael J. Todd
1288:
1221:Alan J. Hoffman
1193:Harry Markowitz
1129:Abraham Charnes
1097:David Blackwell
1077:Felix Pollaczek
1069:Richard Bellman
1049:
1044:
1014:
1013:
1005:
1003:
993:
992:
988:
981:
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941:
940:
936:
927:
926:
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910:
898:
894:
887:10.1137/1010047
865:Ben–Israel, Adi
862:
858:
805:
801:
747:
743:
730:John H. Hubbard
728:
724:
712:
703:
691:
687:
662:
653:
648:
621:
365:
283:A. C. Schaeffer
197:
169:Hans Weinberger
167:
153:
137:
95:
91:
87:
73:Alma mater
58:
52:
48:
39:
33:
24:
17:
12:
11:
5:
1622:
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1533:
1528:Vijay Vazirani
1525:
1517:
1509:
1497:
1485:
1473:
1461:
1449:
1444:Nimrod Megiddo
1441:
1433:
1421:
1413:
1408:Peter W. Glynn
1404:Søren Asmussen
1401:
1392:Yurii Nesterov
1389:
1381:
1373:
1357:
1349:
1341:
1329:
1317:
1309:
1296:
1294:
1290:
1289:
1287:
1286:
1278:
1273:Fred W. Glover
1270:
1262:
1254:
1246:
1238:
1230:
1218:
1213:Frank Proschan
1206:
1198:
1190:
1182:
1174:
1166:
1158:
1150:
1142:
1126:
1118:
1109:Harold W. Kuhn
1102:
1094:
1082:
1074:
1066:
1061:George Dantzig
1057:
1055:
1051:
1050:
1043:
1042:
1035:
1028:
1020:
1012:
1011:
986:
979:
957:
934:
920:
892:
881:(2): 235–236.
856:
799:
764:(2): 243–255.
741:
722:
701:
693:Richard Duffin
685:
650:
649:
647:
644:
643:
642:
637:
632:
627:
620:
617:
616:
615:
577:
563:
543:(6): 965–970.
525:
489:
453:
415:
395:(2): 341–366.
379:
364:
361:
298:Clarence Zener
256:mine detectors
254:equipment and
196:
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172:
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148:
142:
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100:
99:
84:
83:Known for
80:
79:
74:
70:
69:
64:
60:
59:
53:
51:(aged 87)
45:
41:
40:
34:
30:
26:
25:
23:Richard Duffin
22:
15:
9:
6:
4:
3:
2:
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1559:
1541:
1537:
1534:
1529:
1526:
1521:
1518:
1513:
1510:
1505:
1504:Jong-Shi Pang
1501:
1498:
1493:
1489:
1486:
1481:
1480:Jorge Nocedal
1477:
1474:
1469:
1465:
1462:
1457:
1453:
1452:Vašek Chvátal
1450:
1445:
1442:
1437:
1434:
1429:
1425:
1422:
1417:
1414:
1409:
1405:
1402:
1397:
1393:
1390:
1385:
1382:
1377:
1374:
1369:
1365:
1364:László Lovász
1361:
1358:
1353:
1352:Robert Aumann
1350:
1345:
1342:
1337:
1333:
1330:
1325:
1321:
1318:
1313:
1310:
1305:
1301:
1298:
1297:
1295:
1291:
1282:
1279:
1274:
1271:
1266:
1265:Peter Whittle
1263:
1258:
1255:
1250:
1247:
1242:
1239:
1234:
1233:Robert Herman
1231:
1226:
1222:
1219:
1214:
1210:
1207:
1202:
1199:
1194:
1191:
1186:
1183:
1178:
1177:Samuel Karlin
1175:
1170:
1169:Kenneth Arrow
1167:
1162:
1159:
1154:
1151:
1146:
1145:Herbert Scarf
1143:
1138:
1134:
1130:
1127:
1122:
1121:Lloyd Shapley
1119:
1114:
1110:
1106:
1103:
1098:
1095:
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1086:
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1059:
1058:
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1041:
1036:
1034:
1029:
1027:
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1021:
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1002:
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976:
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968:
961:
953:
949:
945:
938:
930:
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903:
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875:
870:
866:
860:
852:
848:
844:
840:
836:
832:
827:
822:
818:
814:
810:
803:
795:
791:
787:
783:
779:
775:
771:
767:
763:
759:
755:
751:
750:Duffin, R. J.
745:
739:
735:
731:
726:
719:
715:
710:
708:
706:
698:
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681:
677:
673:
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584:
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333:
331:
326:
324:
320:
315:
311:
307:
303:
299:
294:
292:
288:
287:James Maynard
284:
279:
277:
273:
269:
265:
261:
257:
253:
249:
245:
241:
237:
232:
230:
226:
225:David Bourgin
222:
218:
214:
210:
206:
202:
192:
190:
186:
182:
173:
170:
166:
163:
159:
156:
155:David Bourgin
152:
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136:
133:
129:
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119:
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90:
85:
81:
78:
75:
71:
68:
65:
61:
56:
46:
42:
37:
31:
27:
20:
1512:Adrian Lewis
1324:Cyrus Derman
1293:2000–present
1241:Lajos Takacs
1225:Philip Wolfe
1201:Richard Karp
1161:Jack Edmonds
1153:Ralph Gomory
1085:John F. Nash
1004:, retrieved
995:
989:
966:
960:
943:
937:
923:
911:. Retrieved
905:
895:
878:
872:
868:
859:
816:
812:
802:
761:
757:
749:
744:
733:
725:
688:
671:
665:
640:Wang algebra
592:
586:
570:
540:
534:
502:
498:
466:
462:
430:
424:
392:
388:
373:
368:1949: (with
334:
327:
301:
295:
280:
276:transformers
270:developed a
252:navigational
248:World War II
233:
228:
198:
180:
179:
131:Institutions
114:
49:(1996-10-29)
1569:1996 deaths
1564:1909 births
1384:Frank Kelly
874:SIAM Review
505:: 114–131.
314:posynomials
310:polynomials
89:DKP algebra
63:Nationality
1558:Categories
1312:Ward Whitt
1249:Egon Balas
1105:David Gale
1006:2019-10-09
826:1907.04593
819:(1): 251.
794:0025.11002
778:67.0145.03
674:(2): 124.
646:References
433:: 99–109.
370:Raoul Bott
268:Raoul Bott
165:Raoul Bott
1054:1975–1999
913:March 30,
851:195874052
786:122007220
720:(INFORMS)
716:from the
635:Signomial
1396:Yinyu Ye
680:27852522
619:See also
349:Sigma Xi
274:without
231:(1935).
213:Sigma Xi
67:American
952:3785536
695:at the
611:0359436
559:0145259
521:0109161
485:0083366
449:0056573
411:0047179
378:20:816.
355:of the
353:Fellows
246:during
207:at the
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