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Bifurcation Portrait of a Hybrid Spiking Neuron Model
(North Dakota State University, 2012)
A bifurcation portrait classifies the behavior of a dynamical system and how it transitions between different behaviors. A hybrid dynamical system displays both continuous and discrete dynamics and may display nonsmooth ...
A New Generalization of Cohen-Kaplansky Domains
(North Dakota State University, 2015)
The goal of this thesis is to provide an new generalization of Cohen-Kaplansky domains,
stemming from questions related to valuation domains. Recall that a Cohen-Kaplansky domain is
an atomic integral domain that contains ...
Fatigue Analysis of Arteries Using Finite Element Method
(North Dakota State University, 2012)
In this thesis, the fatigue response of arteries to four specific physiological conditions representative of various morphological changes that artery undergo during its lifetime, was explored. Single layered nonlinear ...
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 ...
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, ...
Understanding Students’ Perceptions of Difficulty and the Effect Difficulty Has on Mathematical Anxiety
(North Dakota State University, 2018)
There exists a growing atmosphere surrounding mathematics that allows individuals to exclaim their belief they are deficient in math without any societal judgement. Compared to a state like being illiterate, we have reached ...
Hook Formula For Skew Shapes
(North Dakota State University, 2019)
The number of standard Young tableaux is given by the hook-length formula of Frame, Robinson, and Thrall. Recently, Naruse found a hook-length formula for the number of skew shaped standard Young tableaux. In a series of ...
High-Performance Simulations for Atmospheric Pressure Plasma Reactor
(North Dakota State University, 2012)
Plasma-assisted processing and deposition of materials is an important component of modern industrial applications, with plasma reactors sharing 30% to 40% of manufacturing steps in microelectronics production [1]. Development ...
Development of an Anti-Corrosion Thermally Sprayed Coating System for Oil and Gas Transmission Pipeline
(North Dakota State University, 2018)
Corrosion, a leading cause of failure in metallic transmission pipelines, significantly impacts the reliability and safety of metallic pipelines. To prevent and mitigate pipeline corrosion, various non-metallic coatings ...
Nonlinear Fatigue Damage Accumulation in Aircraft Engine Alloys Multiaxial Loading
(North Dakota State University, 2013)
Fatigue is considered to be one of the most frequent phenomena in the failure of many
machine parts. Most of the prior studies on fatigue have been limited to uniaxial loading cases
with a primary focus on constant ...