American-Canadian mathematician
Lloyd Lyne Dines (29 March 1885, in Shelbyville, Missouri – 17 January 1964, in Quincy, Illinois ) was an American-Canadian mathematician, known for his pioneering work on linear inequalities.[ 1]
Education and career
Dines received B.A. in 1906 and M.A. in 1907 from Northwestern University [ 2] University of Chicago under Gilbert Bliss with thesis The highest common factor of a system of polynomials in one variable, with an application to implicit functions .[ 3] Columbia University and then became an associate professor at the University of Arizona . From 1915 to 1934 he was a professor at the University of Saskatchewan . In 1928 he was elected to the Royal Society of Canada . In 1932 he was an invited speaker at the International Congress of Mathematicians in Zürich . From 1934 to 1945 he was a professor at the Carnegie Institute of Technology and chair of the mathematics department. After his retirement in 1945, Dines held visiting professorships at the University of Saskatchewan, Smith College , and Northwestern University.[ 1]
Selected publications
Dines, Lloyd L. (1913). "Concerning two recent theorems on implicit functions" . Bull. Amer. Math. Soc . 19 (9): 462– 467. doi :10.1090/s0002-9904-1913-02397-8 MR 1559394 . Dines, L. L. (1915). "Complete existential theory of Sheffer's postulates for Boolean algebras" . Bull. Amer. Math. Soc . 21 (4): 183– 188. doi :10.1090/s0002-9904-1915-02595-4 MR 1559609 . Dines, L. L. (1919). "Projective transformations in function space" . Trans. Amer. Math. Soc . 20 : 45– 65. doi :10.1090/s0002-9947-1919-1501115-2 MR 1501115 . Dines, L. L. (1924). "Concerning a suggested and discarded generalization of the Weierstrass factorization theorem" . Bull. Amer. Math. Soc . 30 (5– 6): 233– 236. doi :10.1090/s0002-9904-1924-03889-0 MR 1560882 . Dines, Lloyd L. (1924). "A theorem on the factorization of polynomials of a certain type" . Trans. Amer. Math. Soc . 26 : 17– 24. doi :10.1090/s0002-9947-1924-1501262-7 MR 1501262 . Dines, L. L. (1927). "Linear inequalities in general analysis" . Bull. Amer. Math. Soc . 33 (6): 695– 700. doi :10.1090/s0002-9904-1927-04461-5 MR 1561451 . Dines, Lloyd L. (1927). "On sets of functions of a general variable" . Trans. Amer. Math. Soc . 29 (2): 463– 470. doi :10.1090/s0002-9947-1927-1501398-3 MR 1501398 . Dines, L. L. (1928). "A theorem on orthogonal sequences" . Trans. Amer. Math. Soc . 30 (2): 439– 446. doi :10.1090/s0002-9947-1928-1501437-0 MR 1501437 . Dines, Lloyd L. (1928). "A theorem on orthogonal functions with an application to integral inequalities" . Trans. Amer. Math. Soc . 30 (2): 425– 438. doi :10.1090/s0002-9947-1928-1501436-9 MR 1501436 . Dines, L. L. (1930). "Linear inequalities and some related properties of functions" . Bull. Amer. Math. Soc . 36 (6): 393– 405. doi :10.1090/s0002-9904-1930-04956-3 MR 1561956 . Dines, L. L. (1936). "Convex extension and linear inequalities" . Bull. Amer. Math. Soc . 42 (6): 353– 365. doi :10.1090/s0002-9904-1936-06299-3 MR 1563300 . S2CID 44594799 . with David Moskovitz: Moskovitz, David; Dines, L. L. (1940). "On the supporting-plane property of a convex body" . Bull. Amer. Math. Soc . 46 (6): 482– 489. doi :10.1090/s0002-9904-1940-07242-8 MR 0002008 .
Dines, Lloyd L. (1941). "On the mapping of quadratic forms" . Bull. Amer. Math. Soc . 47 (6): 494– 498. doi :10.1090/s0002-9904-1941-07494-x MR 0004216 . Dines, Lloyd L. (1942). "On the mapping of n quadratic forms" . Bull. Amer. Math. Soc . 48 (6): 467– 471. doi :10.1090/s0002-9904-1942-07707-x MR 0006141 . Dines, Lloyd L. (1943). "On linear combinations of quadratic forms" . Bull. Amer. Math. Soc . 49 (6): 388– 393. doi :10.1090/s0002-9904-1943-07925-6 MR 0008068 . Dines, LL (November 1947). "On a theorem of von Neumann" . Proc Natl Acad Sci U S A . 33 (11): 329– 31. Bibcode :1947PNAS...33..329D . doi :10.1073/pnas.33.11.329 PMC 1079066 PMID 16588759 .
References
