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Discrete Mathematics and Combinatorics Commons™
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Articles 1321 - 1323 of 1323
Full-Text Articles in Discrete Mathematics and Combinatorics
The Eigenvalue Set Of A Class Of Equimodular Matrices, Gerald L. Bradley
The Eigenvalue Set Of A Class Of Equimodular Matrices, Gerald L. Bradley
CMC Faculty Publications and Research
The paper is divided into four sections, the first of which is basically introductory and contains definitions, notational conventions, and well-known results. The second section contains a fundamental theorem on multilinear polynomials which forms the crux of all our mail results, and the final two sections are devoted to discussions of the combinatorial and boundary properties of Y(A), respectively.
Anti-Associative Systems, Dick R. Rogers
Anti-Associative Systems, Dick R. Rogers
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
A set of elements with a binary operation is called a system, or, more explicitly, a mathematical system. [2] The following discussion will involve systems with only one operation. This operation will be denoted by "⋅" and will sometimes be referred to as a product.
Pfaffian Differential Expressions And Equations, K. Raman Unni
Pfaffian Differential Expressions And Equations, K. Raman Unni
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
It is needless to point out the necessity and the importance of the study of Pfaffian differential expressions and equations. While it is interesting to consider from the pure mathematical point of view, their applications in many branches of applied mathematics are well known. To mention a few, one may observe that they arise in connection with line integrals (example, determination of work). They provide a more rational formulation of the foundations of thermodynamics as developed by the Greek mathematician Caratheodory. They also arise in the problem of determining the orthogonal trajectories. In many branches of engineering and other physical …