Knowledge (XXG)

Lloyd Dines

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and chair of the mathematics department. After his retirement in 1945, Dines held visiting professorships at the University of Saskatchewan,
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Lloyd L. Dines (1885–1964), The Department of Mathematics and Statistics - College of Arts and Science, University of Saskatchewan
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The highest common factor of a system of polynomials in one variable, with an application to implicit functions
78: 50: 70: 54: 34: 774: 769: 658: 66: 488: 41:) was an American-Canadian mathematician, known for his pioneering work on linear inequalities. 686: 214:"Concerning a suggested and discarded generalization of the Weierstrass factorization theorem" 732: 714: 676: 666: 623: 588: 549: 514: 470: 435: 400: 365: 330: 295: 260: 225: 190: 155: 120: 38: 637: 602: 563: 528: 484: 449: 414: 379: 344: 309: 274: 239: 204: 169: 134: 721: 633: 598: 559: 524: 480: 445: 410: 375: 340: 305: 270: 235: 200: 165: 130: 662: 681: 646: 405: 388: 370: 353: 335: 318: 265: 248: 195: 178: 763: 94: 58: 628: 611: 593: 572: 554: 537: 519: 502: 492: 475: 440: 423: 300: 283: 230: 213: 160: 143: 125: 458: 389:"A theorem on orthogonal functions with an application to integral inequalities" 17: 747: 690: 671: 86: 144:"Complete existential theory of Sheffer's postulates for Boolean algebras" 108: 249:"A theorem on the factorization of polynomials of a certain type" 83:
invited speaker at the International Congress of Mathematicians
424:"Linear inequalities and some related properties of functions" 109:"Concerning two recent theorems on implicit functions" 65:. In 1911 he became an instructor of mathematics at 503:"On the supporting-plane property of a convex body" 49:Dines received B.A. in 1906 and M.A. in 1907 from 710: 708: 800:Academic staff of the University of Saskatchewan 179:"Projective transformations in function space" 89:. From 1934 to 1945 he was a professor at the 73:. From 1915 to 1934 he was a professor at the 69:and then became an associate professor at the 8: 319:"On sets of functions of a general variable" 612:"On linear combinations of quadratic forms" 459:"Convex extension and linear inequalities" 680: 670: 627: 592: 553: 518: 474: 439: 404: 369: 334: 299: 284:"Linear inequalities in general analysis" 264: 229: 194: 159: 124: 704: 501:Moskovitz, David; Dines, L. L. (1940). 815:Fellows of the Royal Society of Canada 7: 780:20th-century American mathematicians 538:"On the mapping of quadratic forms" 354:"A theorem on orthogonal sequences" 805:Carnegie Mellon University faculty 25: 810:People from Shelbyville, Missouri 406:10.1090/s0002-9947-1928-1501436-9 371:10.1090/s0002-9947-1928-1501437-0 336:10.1090/s0002-9947-1927-1501398-3 266:10.1090/s0002-9947-1924-1501262-7 196:10.1090/s0002-9947-1919-1501115-2 91:Carnegie Institute of Technology 77:. In 1928 he was elected to the 629:10.1090/s0002-9904-1943-07925-6 594:10.1090/s0002-9904-1942-07707-x 555:10.1090/s0002-9904-1941-07494-x 520:10.1090/s0002-9904-1940-07242-8 476:10.1090/s0002-9904-1936-06299-3 441:10.1090/s0002-9904-1930-04956-3 301:10.1090/s0002-9904-1927-04461-5 231:10.1090/s0002-9904-1924-03889-0 161:10.1090/s0002-9904-1915-02595-4 126:10.1090/s0002-9904-1913-02397-8 97:, and Northwestern University. 27:American-Canadian mathematician 790:Northwestern University alumni 1: 752:Mathematics Genealogy Project 647:"On a theorem of von Neumann" 795:University of Chicago alumni 733:Lloyd Lyne Dines, p. 69 of 645:Dines, LL (November 1947). 53:and Ph.D. in 1911 from the 831: 75:University of Saskatchewan 651:Proc Natl Acad Sci U S A 610:Dines, Lloyd L. (1943). 571:Dines, Lloyd L. (1942). 536:Dines, Lloyd L. (1941). 387:Dines, Lloyd L. (1928). 317:Dines, Lloyd L. (1927). 247:Dines, Lloyd L. (1924). 107:Dines, Lloyd L. (1913). 785:Canadian mathematicians 79:Royal Society of Canada 51:Northwestern University 672:10.1073/pnas.33.11.329 499:with David Moskovitz: 393:Trans. Amer. Math. Soc 358:Trans. Amer. Math. Soc 323:Trans. Amer. Math. Soc 253:Trans. Amer. Math. Soc 183:Trans. Amer. Math. Soc 37:– 17 January 1964, in 737:, U. of Chicago, 1910 616:Bull. Amer. Math. Soc 581:Bull. Amer. Math. Soc 542:Bull. Amer. Math. Soc 507:Bull. Amer. Math. Soc 463:Bull. Amer. Math. Soc 457:Dines, L. L. (1936). 428:Bull. Amer. Math. Soc 422:Dines, L. L. (1930). 352:Dines, L. L. (1928). 288:Bull. Amer. Math. Soc 282:Dines, L. L. (1927). 218:Bull. Amer. Math. Soc 212:Dines, L. L. (1924). 177:Dines, L. L. (1919). 148:Bull. Amer. Math. Soc 142:Dines, L. L. (1915). 113:Bull. Amer. Math. Soc 101:Selected publications 71:University of Arizona 55:University of Chicago 35:Shelbyville, Missouri 81:. In 1932 he was an 45:Education and career 663:1947PNAS...33..329D 573:"On the mapping of 67:Columbia University 33:(29 March 1885, in 720:2012-11-27 at the 16:(Redirected from 822: 754: 748:Lloyd Lyne Dines 745: 739: 730: 724: 712: 694: 684: 674: 641: 631: 606: 596: 577:quadratic forms" 567: 557: 532: 522: 496: 478: 453: 443: 418: 408: 383: 373: 348: 338: 313: 303: 278: 268: 243: 233: 224:(5–6): 233–236. 208: 198: 173: 163: 138: 128: 39:Quincy, Illinois 31:Lloyd Lyne Dines 21: 18:Lloyd Lyne Dines 830: 829: 825: 824: 823: 821: 820: 819: 760: 759: 758: 757: 746: 742: 735:Annual Register 731: 727: 722:Wayback Machine 713: 706: 701: 644: 609: 570: 535: 500: 456: 421: 386: 351: 316: 281: 246: 211: 176: 141: 106: 103: 47: 28: 23: 22: 15: 12: 11: 5: 828: 826: 818: 817: 812: 807: 802: 797: 792: 787: 782: 777: 772: 762: 761: 756: 755: 740: 725: 703: 702: 700: 697: 696: 695: 657:(11): 329–31. 642: 622:(6): 388–393. 607: 587:(6): 467–471. 568: 548:(6): 494–498. 533: 513:(6): 482–489. 497: 469:(6): 353–365. 454: 434:(6): 393–405. 419: 399:(2): 425–438. 384: 364:(2): 439–446. 349: 329:(2): 463–470. 314: 294:(6): 695–700. 279: 244: 209: 174: 154:(4): 183–188. 139: 119:(9): 462–467. 102: 99: 46: 43: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 827: 816: 813: 811: 808: 806: 803: 801: 798: 796: 793: 791: 788: 786: 783: 781: 778: 776: 773: 771: 768: 767: 765: 753: 749: 744: 741: 738: 736: 729: 726: 723: 719: 716: 711: 709: 705: 698: 692: 688: 683: 678: 673: 668: 664: 660: 656: 652: 648: 643: 639: 635: 630: 625: 621: 617: 613: 608: 604: 600: 595: 590: 586: 582: 578: 576: 569: 565: 561: 556: 551: 547: 543: 539: 534: 530: 526: 521: 516: 512: 508: 504: 498: 494: 490: 486: 482: 477: 472: 468: 464: 460: 455: 451: 447: 442: 437: 433: 429: 425: 420: 416: 412: 407: 402: 398: 394: 390: 385: 381: 377: 372: 367: 363: 359: 355: 350: 346: 342: 337: 332: 328: 324: 320: 315: 311: 307: 302: 297: 293: 289: 285: 280: 276: 272: 267: 262: 258: 254: 250: 245: 241: 237: 232: 227: 223: 219: 215: 210: 206: 202: 197: 192: 188: 184: 180: 175: 171: 167: 162: 157: 153: 149: 145: 140: 136: 132: 127: 122: 118: 114: 110: 105: 104: 100: 98: 96: 95:Smith College 92: 88: 84: 80: 76: 72: 68: 64: 60: 59:Gilbert Bliss 56: 52: 44: 42: 40: 36: 32: 19: 743: 734: 728: 654: 650: 619: 615: 584: 580: 574: 545: 541: 510: 506: 466: 462: 431: 427: 396: 392: 361: 357: 326: 322: 291: 287: 256: 252: 221: 217: 186: 182: 151: 147: 116: 112: 62: 61:with thesis 48: 30: 29: 775:1964 deaths 770:1885 births 764:Categories 699:References 259:: 17–24. 189:: 45–65. 718:Archived 691:16588759 493:44594799 750:at the 682:1079066 659:Bibcode 638:0008068 603:0006141 564:0004216 529:0002008 485:1563300 450:1561956 415:1501436 380:1501437 345:1501398 310:1561451 275:1501262 240:1560882 205:1501115 170:1559609 135:1559394 689:  679:  636:  601:  562:  527:  491:  483:  448:  413:  378:  343:  308:  273:  238:  203:  168:  133:  87:Zürich 57:under 489:S2CID 687:PMID 677:PMC 667:doi 624:doi 589:doi 550:doi 515:doi 471:doi 436:doi 401:doi 366:doi 331:doi 296:doi 261:doi 226:doi 191:doi 156:doi 121:doi 85:in 766:: 707:^ 685:. 675:. 665:. 655:33 653:. 649:. 634:MR 632:. 620:49 618:. 614:. 599:MR 597:. 585:48 583:. 579:. 560:MR 558:. 546:47 544:. 540:. 525:MR 523:. 511:46 509:. 505:. 487:. 481:MR 479:. 467:42 465:. 461:. 446:MR 444:. 432:36 430:. 426:. 411:MR 409:. 397:30 395:. 391:. 376:MR 374:. 362:30 360:. 356:. 341:MR 339:. 327:29 325:. 321:. 306:MR 304:. 292:33 290:. 286:. 271:MR 269:. 257:26 255:. 251:. 236:MR 234:. 222:30 220:. 216:. 201:MR 199:. 187:20 185:. 181:. 166:MR 164:. 152:21 150:. 146:. 131:MR 129:. 117:19 115:. 111:. 693:. 669:: 661:: 640:. 626:: 605:. 591:: 575:n 566:. 552:: 531:. 517:: 495:. 473:: 452:. 438:: 417:. 403:: 382:. 368:: 347:. 333:: 312:. 298:: 277:. 263:: 242:. 228:: 207:. 193:: 172:. 158:: 137:. 123:: 20:)

Index

Lloyd Lyne Dines
Shelbyville, Missouri
Quincy, Illinois
Northwestern University
University of Chicago
Gilbert Bliss
Columbia University
University of Arizona
University of Saskatchewan
Royal Society of Canada
invited speaker at the International Congress of Mathematicians
Zürich
Carnegie Institute of Technology
Smith College
"Concerning two recent theorems on implicit functions"
doi
10.1090/s0002-9904-1913-02397-8
MR
1559394
"Complete existential theory of Sheffer's postulates for Boolean algebras"
doi
10.1090/s0002-9904-1915-02595-4
MR
1559609
"Projective transformations in function space"
doi
10.1090/s0002-9947-1919-1501115-2
MR
1501115
"Concerning a suggested and discarded generalization of the Weierstrass factorization theorem"

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