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Articles 61 - 73 of 73
Full-Text Articles in Physical Sciences and Mathematics
Dynamics Of Systems Driven By An External Force, Xue Liu
Dynamics Of Systems Driven By An External Force, Xue Liu
Theses and Dissertations
In this dissertation, we study the complicated dynamics of two classes of systems: Anosov systems driven by an external force and partially hyperbolic systems driven by an external force. For smooth Anosov systems driven by an external force, we first study the random specification property, which is on the approximation of an N−spaced arbitrary long finite random orbit segments within given precision by a random periodic point. We prove that if such system is topological mixing on fibers, then it has the random specification property. Furthermore, we prove that the homeomorphism induced by such a system on the space of …
Computing The Rank Of Braids, Justin Meiners
Computing The Rank Of Braids, Justin Meiners
Theses and Dissertations
We describe a method for computing rank (and determining quasipositivity) in the free group using dynamic programming. The algorithm is adapted to computing upper bounds on the rank for braids. We test our method on a table of knots by identifying quasipositive knots and calculating the ribbon genus. We consider the possibility that rank is not theoretically computable and prove some partial results that would classify its computational complexity. We then present a method for effectively brute force searching band presentations of small rank and conjugate length.
Going For Gold: Point Of Care Bio-Diagnostics And Gold Nanoparticles Treating Disease, Trevor M. Godfrey
Going For Gold: Point Of Care Bio-Diagnostics And Gold Nanoparticles Treating Disease, Trevor M. Godfrey
Theses and Dissertations
Correct diagnosis of disease is essential in the effort to save and improve lives. Point of care (POC) diagnostics are in-vitro tests that assist in patient diagnosis and can be used at the location of patient care. POC diagnostics are easy to use and provide near-instant readouts allowing medical providers and patients to make rapid decisions about treatment. Increased access to POC testing is especially beneficial to low-income and low resource areas that cannot afford expensive lab testing. The World Health Organization (WHO) has outlined at least 113 diseases for which POC diagnostics are needed. Because of this, developing effective, …
The Dns Bake Sale: Advertising Dns Cookie Support For Ddos Protection, Jacob Davis
The Dns Bake Sale: Advertising Dns Cookie Support For Ddos Protection, Jacob Davis
Theses and Dissertations
The Domain Name System (DNS) has been frequently abused for Distributed Denial of Service (DDoS) attacks and cache poisoning because it relies on the User Datagram Protocol (UDP). Since UDP is connection-less, it is trivial for an attacker to spoof the source of a DNS query or response. DNS Cookies, a protocol standardized in 2016, add pseudo-random values to DNS packets to provide identity management and prevent spoofing attacks. This work finds that 30% of popular authoritative servers and open recursive resolvers fully support cookies and that 10% of recursive clients send cookies. Despite this, DNS cookie use is rarely …
Multilattice Tilings And Coverings, Joshua Randall Linnell
Multilattice Tilings And Coverings, Joshua Randall Linnell
Theses and Dissertations
Let L be a discrete subgroup of \mathbb{R}^n under addition. Let D be a finite set of points including the origin. These two sets will define a multilattice of \mathbb{R}^n. We explore how to generate a periodic covering of the space \mathbb{R}^n based on L and $D$. Additionally, we explore the problem of covering when we restrict ourselves to covering \mathbb{R}^n using only dilations of the right regular simplex in our covering. We show that using a set D= {0,d} to define our multilattice the minimum covering density is 5-\sqrt{13}. Furthermore, we show that when we allow for an arbitrary …
Improving Artistic Workflows For Fluid Simulation Through Adaptive And Editable Fluid Simulation Techniques, Sean A. Flynn
Improving Artistic Workflows For Fluid Simulation Through Adaptive And Editable Fluid Simulation Techniques, Sean A. Flynn
Theses and Dissertations
As the fidelity of computer generated imagery has increased, the need to digitally create convincing natural phenomena like fluids has become fundamental to the entertainment production industry. Because fluids are complex, the underlying physics must be computationally simulated. However, because a strictly physics-based approach is both computationally expensive and difficult to control, it does not lend itself well to the way artists and directors like to work. Directors require control to achieve their specific artistic vision. Furthermore, artistic workflows rely on quick iteration and the ability to apply changes late in the production process. In this dissertation we present novel …
Fourier Decompositions Of Graphs With Symmetries And Equitable Partitions, Darren Scott Lund
Fourier Decompositions Of Graphs With Symmetries And Equitable Partitions, Darren Scott Lund
Theses and Dissertations
We show that equitable partitions, which are generalizations of graph symmetries, and Fourier transforms are fundamentally related. For a partition of a graph's vertices we define a Fourier similarity transform of the graph's adjacency matrix built from the matrices used to carryout discrete Fourier transformations. We show that the matrix (graph) decomposes into a number of smaller matrices (graphs) under this transformation if and only if the partition is an equitable partition. To extend this result to directed graphs we define two new types of equitable partitions, equitable receiving and equitable transmitting partitions, and show that if a partition of …
Terwilliger Algebras For Several Finite Groups, Nicholas Lee Bastian
Terwilliger Algebras For Several Finite Groups, Nicholas Lee Bastian
Theses and Dissertations
In this thesis, we will explore the structure of Terwilliger algebras over several different types of finite groups. We will begin by discussing what a Schur ring is, as well as providing many different results and examples of them. Following our discussion on Schur rings, we will move onto discussing association schemes as well as their properties. In particular, we will show every Schur ring gives rise to an association scheme. We will then define a Terwilliger algebra for any finite set, as well as discuss basic properties that hold for all Terwilliger algebras. After specializing to the case of …
Mean Square Displacement For A Discrete Centroid Model Of Cell Motion And A Mathematical Analysis Of Focal Adhesion Lifetimes And Their Effect On Cell Motility, Mary Ellen Furner Rosen
Mean Square Displacement For A Discrete Centroid Model Of Cell Motion And A Mathematical Analysis Of Focal Adhesion Lifetimes And Their Effect On Cell Motility, Mary Ellen Furner Rosen
Theses and Dissertations
One of the characteristics that distinguishes living things from non-living things is motility. On the cellular level, the motility or non-motility of different types of cells can be life building, life-saving or life-threatening. A thorough study of cell motion is needed to help understand the underlying mechanisms that enhance or prohibit cell motion. We introduce a discrete centroid model of cell motion in the context of a generalized random walk. We find an approximation for the theoretical mean square displacement (MSD) that uses a subset of the state space to estimate the MSD for the entire space. We give some …
Mean Square Displacement For A Discrete Centroid Model Of Cell Motion And A Mathematical Analysis Of Focal Adhesion Lifetimes And Their Effect On Cell Motility, Mary Ellen Furner Rosen
Mean Square Displacement For A Discrete Centroid Model Of Cell Motion And A Mathematical Analysis Of Focal Adhesion Lifetimes And Their Effect On Cell Motility, Mary Ellen Furner Rosen
Theses and Dissertations
One of the characteristics that distinguishes living things from non-living things is motility. On the cellular level, the motility or non-motility of different types of cells can be life building, life-saving or life-threatening. A thorough study of cell motion is needed to help understand the underlying mechanisms that enhance or prohibit cell motion. We introduce a discrete centroid model of cell motion in the context of a generalized random walk. We find an approximation for the theoretical mean square displacement (MSD) that uses a subset of the state space to estimate the MSD for the entire space. We give some …
Sp2 Bonded Carbon For Soft X-Ray Detector Windows, Joseph T. Rowley
Sp2 Bonded Carbon For Soft X-Ray Detector Windows, Joseph T. Rowley
Theses and Dissertations
Energy Dispersive X-Ray Spectroscopy (EDS) is a technique used to analyze materials to determine their elemental makeup. This technique is used extensively in the semiconductor industry, metallurgical industry, biology, chemistry, materials science, and other fields. EDS detectors are often attached to scanning electron microscopes (SEM) or transmission electron microscopes (TEM) and are actively cooled by liquid nitrogen or Peltier devices. A thin membrane, or window, is fitted to the front of the detector which allows for an airtight seal as well as transmission of x-rays. The challenge for these windows is maximizing the transmission of x-rays while maintaining mechanical integrity. …
The "What"-"Where" Network: A Tool For One-Shot Image Recognition And Localization, Daniel Hurlburt
The "What"-"Where" Network: A Tool For One-Shot Image Recognition And Localization, Daniel Hurlburt
Theses and Dissertations
One common shortcoming of modern computer vision is the inability of most models to generalize to new classes—one/few shot image recognition. We propose a new problem formulation for this task and present a network architecture and training methodology to solve this task. Further, we provide insights into how careful focus on how not just the data, but the way data presented to the model can have significant impact on performance. Using these method, we achieve high accuracy in few-shot image recognition tasks.
The Nabataean Façade Monuments Of Petra, Jordan: An Assessment Of The Façade Monuments And Their Geological Environment., Josie M. Newbold
The Nabataean Façade Monuments Of Petra, Jordan: An Assessment Of The Façade Monuments And Their Geological Environment., Josie M. Newbold
Theses and Dissertations
The Nabataean people controlled the Petra region of modern-day Jordan from sometime before 300 BCE until the Roman Annexation of the Nabataean kingdom in 106 CE. The Nabataeans are known for the monumental façades carved into the sandstone cliffs surrounding their capital city. The first survey of the façade monuments was undertaken by Brünnow and Domaszewski in 1904. They created a typology that has only been slightly modified by subsequent authors including Judith McKenzie (1990). This typology does not account for all of the variations in façade types in Petra, thus creating a need for a new typology proposed in …