Mathematics: Recent submissions
Now showing items 41-45 of 45
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Optimization Problems Arising in Stability Analysis of Discrete Time Recurrent Neural Networks
(North Dakota State University, 2016)We consider the method of Reduction of Dissipativity Domain to prove global Lyapunov stability of Discrete Time Recurrent Neural Networks. The standard and advanced criteria for Absolute Stability of these essentially ... -
Modeling Swap and Geophysical Analysis using Barndorff-Nielson and Shephard Model
(North Dakota State University, 2015)Video summarizing Ph.D. dissertation for a non-specialist audience. -
Colorings of Zero-Divisor Graphs of Commutative Rings
(North Dakota State University, 2015)We will focus on Beck’s conjecture that the chromatic number of a zero-divisor graph of a ring R is equal to the clique number of the ring R. We begin by calculating the chromatic number of the zero-divisor graphs for some ... -
Homological Dimensions with Respect to a Semidualizing Complex
(North Dakota State University, 2015)See Dissertation Document for Full Abstract (Mathematical Symbols Included) -
Resolutions and Semidualizing Modules
(North Dakota State University, 2014)Projective and injective modules are of key importance in algebra, in part because of their useful homological properties. The notion of C-projective and C-injective modules generalizes these constructions. In particular, ...