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On Hall Magnetohydrodynamics: X-Type Neutral Point And Parker Problem, Kyle Reger
On Hall Magnetohydrodynamics: X-Type Neutral Point And Parker Problem, Kyle Reger
Electronic Theses and Dissertations
The framework for the Hall magnetohydrodynamic (MHD) model for plasma physics is built up from kinetic theory and used to analytically solve problems of interest in the field. The Hall MHD model describes fast magnetic reconnection processes in space and laboratory plasmas. Specifically, the magnetic reconnection process at an X-type neutral point, where current sheets form and store enormous amounts of magnetic energy which is later released as magnetic storms when the sheets break up, is investigated. The phenomena of magnetic flux pile-up driving the merging of antiparallel magnetic fields at an ion stagnation-point flow in a thin current sheet, …
Autoregressive Models, Kelly Wade
Autoregressive Models, Kelly Wade
Electronic Theses and Dissertations
Consider a sequence of random variables which obeys a first order autoregressive model with unknown parameter alpha. Under suitable assumptions on the error structure of the model, the limiting distribution of the normalized least squares estimator of alpha is discussed. The choice of the normalizing constant depends on whether alpha is less than one, equals one, or is greater than one in absolute value. In particular, the limiting distribution is normal provided that the absolute value of alpha is less than one, but is a function of Brownian motion whenever the absolute value of alpha equals one. Some general remarks …
Convective Heat Transfer In Nanofluids, Steven Schraudner
Convective Heat Transfer In Nanofluids, Steven Schraudner
Electronic Theses and Dissertations
In recent years, the study of fluid flow with nanoparticles in base fluids has attracted the attention of several researchers due to its various applications to science and engineering problems. Recent investigations on convective heat transfer in nanofluids indicate that the suspended nanoparticles markedly change the transport properties and thereby the heat transfer characteristics. Convection in saturated porous media with nanofluids is also an area of growing interest. In this thesis, we study the effects of radiation on the heat and mass transfer characteristics of nanofluid flows over solid surfaces. In Chapter 2, an investigation is made into the effects …
Improving Student Learning In Undergraduate Mathematics, Gabrielle Rejniak
Improving Student Learning In Undergraduate Mathematics, Gabrielle Rejniak
Electronic Theses and Dissertations
The goal of this study was to investigate ways of improving student learning, par- ticularly conceptual understanding, in undergraduate mathematics courses. This study focused on two areas: course design and animation. The methods of study were the following: Assessing the improvement of student conceptual understanding as a result of team project-based learning, individual inquiry-based learning and the modi ed empo- rium model; and Assessing the impact of animated videos on student learning with the emphasis on concepts. For the first part of our study (impact of course design on student conceptual understanding) we began by comparing the following three groups …
Quantum Algorithms For: Quantum Phase Estimation, Approximation Of The Tutte Polynomial And Black-Box Structures, Hamad Ahmadi
Quantum Algorithms For: Quantum Phase Estimation, Approximation Of The Tutte Polynomial And Black-Box Structures, Hamad Ahmadi
Electronic Theses and Dissertations
In this dissertation, we investigate three different problems in the field of Quantum computation. First, we discuss the quantum complexity of evaluating the Tutte polynomial of a planar graph. Furthermore, we devise a new quantum algorithm for approximating the phase of a unitary matrix. Finally, we provide quantum tools that can be utilized to extract the structure of black-box modules and algebras. While quantum phase estimation (QPE) is at the core of many quantum algorithms known to date, its physical implementation (algorithms based on quantum Fourier transform (QFT) ) is highly constrained by the requirement of high-precision controlled phase shift …
Applications Of Compressive Sensing To Surveillance Problems, Christopher Huff
Applications Of Compressive Sensing To Surveillance Problems, Christopher Huff
Electronic Theses and Dissertations
In many surveillance scenarios, one concern that arises is how to construct an imager that is capable of capturing the scene with high fidelity. This could be problematic for two reasons: first, the optics and electronics in the camera may have difficulty in dealing with so much information; secondly, bandwidth constraints, may pose difficulty in transmitting information from the imager to the user efficiently for reconstruction or realization. In this thesis, we will discuss a mathematical framework that is capable of skirting the two aforementioned issues. This framework is rooted in a technique commonly referred to as compressive sensing. We …