Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 46 for “"geometric analysis"”.
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Quantum Resource Distributions: Geometric Analysis and Computational Classification
… suggest that quantum contextuality and the geometric structure of state space may play fundamental roles. In this thesis, we investigate the distribution, robustness, and interplay of quantum resources—particularly genuine multipartite non-locality, entanglement, and quantum magic—within the …
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Metrology automation and geometric analysis for additive manufacturing
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2024-05-01
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New progress towards three open conjectures in geometric analysis
… R⁴. Finally, in Chapter Three, I do an in-depth analysis of the nodal set results of Logonov-Malinnikova. I give explicit bounds for the eigenvalue exponent in terms of dimension, and make a slight improvement on their methodology.
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A geometric analysis of model reduction of linear systems
… the model reduction problem in terms of the geometric concepts of linear system theory. By appropriate selection of reducing subspaces, useful lower-order system models can be achieved. The reducing subspaces can be chosen as parts of a system which are "most" and "least" controllable or …
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Material and Geometric Analysis of Structures Subjected to Large Deformation
The two major focuses of this dissertation are: (1) Studying the structural behaviors of hyper-elastic membranes subjected to extremely large deformation. These membranes are used in a reconfigurable tooling system (RTS) which was under development during the course of this study. (2) Establishing …
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Topics in geometric analysis with applications to partial differential equations
… used to study problems which bridge between analysis and geometry. Such an undertaking is particularly useful in situations in which the geometry is variable, such as: -- the theory of minimal surfaces, in differential geometry -- shape analysis and optimization-- engineering modeling -- …
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Data Reduction for Diverse Optical Observers through Fundamental Dynamic and Geometric Analysis
… imagery. By approaching this problem with analysis of the fundamental dynamic equations and geometry at play, we can gain a deeper understanding into the behavior of both stars and space objects viewed through optical sensors. This type of analysis has the potential to enable data …
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Re-evaluating the tectonic model for the Arbuckle Mountains, Oklahoma by spatial and geometric analysis of stratigraphic and structural trends
Understanding the spatial distribution and geometric relations between stratigraphy and structural features can allow for a more accurate tectonic timeline to be considered for not only the Arbuckle Mountains but for the assembly of modern North America. The Arbuckle Mountains in south central …
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Probabilistic and geometric aspects of classical and non-commutative lp-type spaces in high dimensions
… contributions to the field of asymptotic geometric analysis and high-dimensional probability. It is divided into two chapters: Chapter 1 explains some of the necessary theoretical background. In Section 1.1 it first gives a very concise history of asymptotic geometric analysis in general …
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An Analytical Model for Fusion First-Wall Temperature Calculations (Conduction)
A primary analytical thermal analysis model is presented which allows for calculation of temperatures in fusion reactor first walls. The model utilizes input quantities based on plasma physics calculations and couples a two-and-one-half-dimensional geometric analysis with a one-dimensional heat …
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Non-collapsing on Hypersurfaces of Prescribed Curvature
… recently received a great deal of attention in geometric analysis. The area of study conducted in this thesis is motivated by this technique which is based on the application of the maximum principle to a two-point function that is defined on manifolds or relies on some global information of …
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Non-collapsing on Hypersurfaces of Prescribed Curvature
… recently received a great deal of attention in geometric analysis. The area of study conducted in this thesis is motivated by this technique which is based on the application of the maximum principle to a two-point function that is defined on manifolds or relies on some global information of …
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Liouville Properties and Dimensionality Bounds for Harmonic and Caloric Functions
… thesis, we study several Liouville properties in geometric analysis. First, we prove a Hamilton type and a Souplet-Zhang type gradient estimates which imply a strong Liouville theorem for ancient f-caloric functions with certain growth assumption on smooth metric measure spaces. Second, we …
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Kinematics of detachment folding, Appalachian Valley and Ridge, West Virginia
… within two vertically stacked thrust sheets. Geometric analysis of a first-order fold in the upper, Silurian-Devonian sheet indicates it is a detachment fold with a detachment depth of up to four kilometers. The estimated detachment depth indicates involvement of the underlying, thrusted …
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Numerical modeling and ray tracing of SPatIal Frequency modulation for Imaging
This thesis presents the first full geometric and physical optics characterization of aberrations and the performance of a simple system that implements SPatIal Frequency modulation for Imaging (SPIFI). SPIFI utilizes a chirped frequency mask that modulates the intensity of light along a single axis …
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Blind transmembrane puncture access : design and development of a novel laparoscopic trocar and blade retraction mechanism
… chosen mechanism concept is developed through geometric analysis. A cost-effective flexure-based mechanism is proposed as an improvement, and flexure mechanics analysis is performed. Flexure samples were manufactured and tested to validate theoretical work and fabrication technique. Prototypes …
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Real-time monitoring of a multiple retrogressive landslide
… attributed to the casing contacting the IPIs. A geometric analysis was developed to verify that the unexpected movement could have been caused by the casing contacting the IPIs. The geometric analysis included observation of the shear induced deformation profile of the slope inclinometer casing, …
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On Stability and Evolution of Solutions in General Relativity
… in terms of variational techniques borrowed from geometric analysis. These equations yield the evolution equations for the Cauchy problems of both general relativity and low energy string theory. We then proceed to investigate the evolutionary linear stability of Schwarzschild-like solutions in …
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