Lloyd Dines
{{short description|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.[http://artsandscience.usask.ca/math/department/people.php Lloyd L. Dines (1885–1964), The Department of Mathematics and Statistics - College of Arts and Science, University of Saskatchewan] {{webarchive|url=https://web.archive.org/web/20121127140501/http://artsandscience.usask.ca/math/department/people.php |date=2012-11-27 }}
Education and career
Dines received B.A. in 1906 and M.A. in 1907 from Northwestern University[https://books.google.com/books?id=SCoXAAAAYAAJ&pg=PA69 Lloyd Lyne Dines, p. 69 of Annual Register, U. of Chicago, 1910] and Ph.D. in 1911 from the 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.{{MathGenealogy|id=5897|title=Lloyd Lyne Dines}} In 1911 he became an instructor of mathematics at 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.
Selected publications
- {{cite journal|title=Concerning two recent theorems on implicit functions|journal=Bull. Amer. Math. Soc.|year=1913|volume=19|pages=462–467|mr=1559394|doi=10.1090/s0002-9904-1913-02397-8|url=https://zenodo.org/record/1431545|doi-access=free|last1=Dines|first1=Lloyd L.|issue=9}}
- {{cite journal|title=Complete existential theory of Sheffer's postulates for Boolean algebras|journal=Bull. Amer. Math. Soc.|year=1915|volume=21|pages=183–188|mr=1559609|doi=10.1090/s0002-9904-1915-02595-4|doi-access=free|last1=Dines|first1=L. L.|issue=4}}
- {{cite journal|title=Projective transformations in function space|journal=Trans. Amer. Math. Soc.|year=1919|volume=20|pages=45–65|mr=1501115|doi=10.1090/s0002-9947-1919-1501115-2|doi-access=free|last1=Dines|first1=L. L.}}
- {{cite journal|title=Concerning a suggested and discarded generalization of the Weierstrass factorization theorem|journal=Bull. Amer. Math. Soc.|year=1924|volume=30|pages=233–236|mr=1560882|doi=10.1090/s0002-9904-1924-03889-0|doi-access=free|last1=Dines|first1=L. L.|issue=5–6}}
- {{cite journal|title=A theorem on the factorization of polynomials of a certain type|journal=Trans. Amer. Math. Soc.|year=1924|volume=26|pages=17–24|mr=1501262|doi=10.1090/s0002-9947-1924-1501262-7|doi-access=free|last1=Dines|first1=Lloyd L.}}
- {{cite journal|title=Linear inequalities in general analysis|journal=Bull. Amer. Math. Soc.|year=1927|volume=33|pages=695–700|mr=1561451|doi=10.1090/s0002-9904-1927-04461-5|doi-access=free|last1=Dines|first1=L. L.|issue=6}}
- {{cite journal|title=On sets of functions of a general variable|journal=Trans. Amer. Math. Soc.|year=1927|volume=29|pages=463–470|mr=1501398|doi=10.1090/s0002-9947-1927-1501398-3|doi-access=free|last1=Dines|first1=Lloyd L.|issue=2}}
- {{cite journal|title=A theorem on orthogonal sequences|journal=Trans. Amer. Math. Soc.|year=1928|volume=30|pages=439–446|mr=1501437|doi=10.1090/s0002-9947-1928-1501437-0|doi-access=free|last1=Dines|first1=L. L.|issue=2}}
- {{cite journal|title=A theorem on orthogonal functions with an application to integral inequalities|journal=Trans. Amer. Math. Soc.|year=1928|volume=30|pages=425–438|mr=1501436|doi=10.1090/s0002-9947-1928-1501436-9|doi-access=free|last1=Dines|first1=Lloyd L.|issue=2}}
- {{cite journal|title=Linear inequalities and some related properties of functions|journal=Bull. Amer. Math. Soc.|year=1930|volume=36|pages=393–405|mr=1561956|doi=10.1090/s0002-9904-1930-04956-3|doi-access=free|last1=Dines|first1=L. L.|issue=6}}
- {{cite journal|title=Convex extension and linear inequalities|journal=Bull. Amer. Math. Soc.|year=1936|volume=42|pages=353–365|mr=1563300|doi=10.1090/s0002-9904-1936-06299-3|last1=Dines|first1=L. L.|issue=6|s2cid=44594799 |url=http://projecteuclid.org/euclid.bams/1183498913|doi-access=free}}
- with David Moskovitz: {{cite journal|title=On the supporting-plane property of a convex body|journal=Bull. Amer. Math. Soc.|year=1940|volume=46|pages=482–489|mr=0002008|doi=10.1090/s0002-9904-1940-07242-8|doi-access=free|last1=Moskovitz|first1=David|last2=Dines|first2=L. L.|issue=6}}
- {{cite journal|title=On the mapping of quadratic forms|journal=Bull. Amer. Math. Soc.|year=1941|volume=47|pages=494–498|mr=0004216|doi=10.1090/s0002-9904-1941-07494-x|doi-access=free|last1=Dines|first1=Lloyd L.|issue=6}}
- {{cite journal|title=On the mapping of n quadratic forms|journal=Bull. Amer. Math. Soc.|year=1942|volume=48|pages=467–471|mr=0006141|doi=10.1090/s0002-9904-1942-07707-x|doi-access=free|last1=Dines|first1=Lloyd L.|issue=6}}
- {{cite journal|title=On linear combinations of quadratic forms|journal=Bull. Amer. Math. Soc.|year=1943|volume=49|pages=388–393|mr=0008068|doi=10.1090/s0002-9904-1943-07925-6|doi-access=free|last1=Dines|first1=Lloyd L.|issue=6}}
- {{cite journal|title=On a theorem of von Neumann|journal=Proc Natl Acad Sci U S A|date=November 1947|volume=33|issue=11|pages=329–31|pmc=1079066|pmid=16588759|doi=10.1073/pnas.33.11.329 | last1 = Dines | first1 = LL|bibcode=1947PNAS...33..329D|doi-access=free}}
References
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Category:20th-century American mathematicians
Category:Canadian mathematicians
Category:Northwestern University alumni
Category:University of Chicago alumni
Category:Academic staff of the University of Saskatchewan
Category:Carnegie Mellon University faculty