Lloyd Dines
American-Canadian mathematician
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Mathematics
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(Suggest an Edit or Addition)According to Wikipedia, Lloyd Lyne Dines was an American-Canadian mathematician, known for his pioneering work on linear inequalities. Education and career Dines received B.A. in 1906 and M.A. in 1907 from Northwestern University 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. 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.
Lloyd Dines's Published Works
Published Works
- On the mapping of quadratic forms (1941) (124)
- Systems of Linear Inequalities (1919) (71)
- On Positive Solutions of a System of Linear Equations (34)
- On linear combinations of quadratic forms (1943) (31)
- On the mapping of $n$ quadratic forms (1942) (20)
- Convex extension and linear inequalities (1936) (11)
- Convexity in a linear space with an inner product (1939) (11)
- Note on Certain Associated Systems of Linear Equalities and Inequalities (5)
- Complete existential theory of Sheffer’s postulates for Boolean algebras (4)
- Definite Linear Dependence (1925) (4)
- Concerning Preferential Voting (1917) (3)
- Linear inequalities in general analysis (1927) (2)
- A theorem on orthogonal functions with an application to integral inequalities (1928) (2)
- On sets of functions of a general variable (1927) (2)
- Linear inequalities and some related properties of functions (1930) (2)
- A theorem on orthogonal sequences (1928) (2)
- THE DEVELOPMENT OF THE FUNCTION CONCEPT1 (1919) (1)
- Projective transformations in function space (1)
- Concerning two recent theorems on implicit functions (1913) (1)
- On Completely Signed Sets of Functions (1)
- On a Theorem of von Neumann. (1947) (1)
- A theorem on the factorization of polynomials of a certain type (1)
- Concerning a suggested and discarded generalization of the Weierstrass factorization theorem (0)
- On Certain Symmetric Sums of Determinants (1925) (0)
- Discussions: Evaluation of the Determinant | 1/(r + s - 1)! | (1923) (0)
- On the supporting-plane property of a convex body (1940) (0)
- Review: L. R. Shorter, Introduction to Vector Analysis (1932) (0)
- A Method of Investigating Numbers of the Forms 6 k ⋅s ± 1 (1909) (0)
- The Resultant of Two Power Series in Two Variables (1929) (0)
- BORDEEED FBEDHOLM DETERMINANTS . [ June , ON BORDERED FREDHOLM DETERMINANTS (0)
- A Primary Classification of Projective Transformations in Function Space (1922) (0)
- A Characteristic Property of Self-Projective Curves (1916) (0)
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