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Counting Certain Quadratic Partitions Of Zero Modulo A Prime Number, Wang Xiao, Aihua Li

Department of Mathematics Faculty Scholarship and Creative Works

Consider an odd prime number p Ξ 2 (mod 3). In this paper, the number of certain type of partitions of zero in ℤ/pℤ is calculated using a combination of elementary combinatorics and number theory. The focus is on the three-part partitions of 0 in ℤ/pℤ with all three parts chosen from the set of non-zero quadratic residues mod p. Such partitions are divided into two types. Those with exactly two of the three parts identical are classified as type I. The type II partitions are those with all three parts being distinct. The number of partitions of each type …

On The Mandelbrot Set For I**2 = ±1 And Imaginary Higgs Fields, Jonathan Blackledge

Articles

We consider the consequence of breaking with a fundamental result in complex analysisby lettingi2=±1wherei=√−1is the basic unit of all imaginary numbers. An analysis of theMandelbrot set for this case shows that a demarcation between a Fractal and a Euclidean object ispossible based oni2=−1andi2= +1, respectively. Further, we consider the transient behaviourassociated with the two cases to produce a range of non-standard sets in which a Fractal geometricstructure is transformed into a Euclidean object. In the case of the Mandelbrot set, the Euclideanobject is a square whose properties are investigate. Coupled with the associated Julia sets and othercomplex plane mappings, this …

A New Definition, A Generalisation And An Approximation For A Fractional Derivative With Applications To Stochastic Time Series Modeling, Jonathan Blackledge

Articles

A brief review of fractional differentiation, frac-tional integration and differo-integral operators is given basedon the properties of the Fourier transform. This is undertakento provide the reader with a quick-guide and a short back-ground to the fractional calculus and includes a brief discussionon some of the principal characteristics of fractional differo-integral operators. The paper then presents a new definitionfor a fractional differo-integral based on the properties ofthe sign function and explores some related results. Usingthe properties of the Dirac delta function, a generalisation isdeveloped in order to quantify the issue as to whether there isan upper bound to the number of …

Carbon Futures Trading And Short-Term Price Prediction:An Analysis Using The Fractal Market Hypothesis And Evolutionary Computing, Marc Lamphiere, Jonathan Blackledge, Derek Kearney

Articles

This paper presents trend prediction results based on backtesting of the European UnionEmissions Trading Scheme futures market. This is based on the Intercontinental Exchange from 2005to 2019. An alternative trend prediction strategy is taken that is predicated on an application of theFractal Market Hypothesis (FMH) in order to develop an indicator that is predictive of short termfuture behaviour. To achieve this, we consider that a change in the polarity of the Lyapunov-to-Volatility Ratio precedes an associated change in the trend of the European Union Allowances (EUAs)price signal. The application of the FMH in this case is demonstrated to provide a …

The Discrete Fourier Transform - A Practical Approach, David Dorran

Articles

These notes on the Discrete Fourier Transform include numerous practical examples that make use of audio signals.

Thoughts On The Future Of Higher Education In The Uk: A Personal View With A Historical Context, Jonathan Blackledge

Articles

Before the effect of the COVID-19 Pandemic, there had been continued debate about the future of Higher Education (HE) in the UK. It is now accepted that the effect of the pandemic will have a long-lasting effect on HE in the UK and elsewhere. This paper addresses the changes that are currently taking place, based on a strategy that aims to develop a future knowledge-based economy, following the UK governments 2019 landmark review of HE. It explores the underlying parallels between the current situation and certain historical events that catalysed the development of a new approach to HE in the …

Modeling And Analyzing Parasitic Parameters In High Frequency Converters, Mohamad Saleh Sanjari Nia

Doctoral Dissertations

"This research focuses on electromagnetic interference (EMI) / electromagnetic compatibility (EMC) design and analysis in power electronics systems. To limit the EMI under the standards, different methods and strategies are investigated. Parasitic parameters of high frequency (HF) transformer are analyzed using a novel analytical method, finite element method (FEM), and experimental measurements for different structures and windings arrangements. Also, the magnetic field, electric field, electric displacement, and electric potential distribution are simulated and analyzed. Moreover, a high voltage system is considered and analyzed to improve the EMC. The EMI propagation paths are analyzed. The EMI noise level of the system …

Complete Experiments On Multi-Photon Ionizations Of Ultra-Cold And Polarized Atoms, Bishnu Prasad Acharya

Doctoral Dissertations

“Fundamental atomic processes such as collision-induced ionization are of relevance in many scientific fields. Describing these reactions can still pose a substantial challenge due to the well-known “few-body problem”, which entails that there is no analytical solution of the equations of motion for systems of more the 2 mutually interacting particle. Novel experimental tools and advancements in theorical methods enable to obtain detailed information on atomic dynamics providing insight into both, the phase as well as the amplitude of the quantum-mechanical wave functions of the particles. In this project, we developed experimental techniques studying multi-photon ionization of lithium in femto-second …

Security Against Data Falsification Attacks In Smart City Applications, Venkata Praveen Kumar Madhavarapu

Doctoral Dissertations

Smart city applications like smart grid, smart transportation, healthcare deal with very important data collected from IoT devices. False reporting of data consumption from device failures or by organized adversaries may have drastic consequences on the quality of operations. To deal with this, we propose a coarse grained and a fine grained anomaly based security event detection technique that uses indicators such as deviation and directional change in the time series of the proposed anomaly detection metrics to detect different attacks. We also built a trust scoring metric to filter out the malicious devices. Another challenging problem is injection of …

Critical Behavior In Evolutionary And Population Dynamics, Stephen Walter Ordway

Doctoral Dissertations

“This study is an exploration of phase transition behavior in evolutionary and population dynamics, and techniques for predicting population changes, across the disciplines of physics, biology, and computer science. Under the looming threat of climate change, it is imperative to understand the dynamics of populations under environmental stress and to identify early warning signals of population decline. These issues are explored here in (1) a computational model of evolutionary dynamics, (2) an experimental system of decaying populations under environmental stress, and (3) a machine learning approach to predict population changes based on environmental factors. Through the lens of critical phase …

Novel Synthetic Methods And Applications Of Porous Materials: Aerogel Foams, Metallic Aerogels, Amorphous And Graphitic Carbon Aerogels, Rushi Soni

Doctoral Dissertations

"We report novel methods for the synthesis of porous materials such as polymeric aerogel foams, pure metallic aerogels, amorphous and graphitic carbon aerogels, and their applications. I. Polyurethane based aerogel foams were synthesized with an aliphatic triisocyanate and ethylene glycol through a pressurized (7 bar) sol-gel method. The foam-like structure is prepared without any chemical foaming agents or templates, resulting in less expensive, more efficient, readily adaptable, and environmentally friendly process. Those materials exhibited lower thermal conductivity (by 25%) and higher oil adsorption capacity (by 36% w/w) than their corresponding aerogels. II. Monolithic, pure metallic Co(0) aerogels were synthesized from …

Projectile Generator Design For Underground Coal Mine Seal Testing, Ethan Allan Steward

Masters Theses

"Underground coal mines have several dangers, one of the most hazardous of which is the possibility of an explosion caused by the ignition of methane gas. To reduce ventilation costs, coal mines have the option to close off abandoned areas that are no longer active with structural seals to keep an explosion from propagating into working areas of the mine. Though seals have been designed to resist the overpressure, none have been evaluated for their resistance to the impact of heavy objects. Underground explosions produce high velocity gasses that, traveling through mine openings, may propel objects in the mine at …

The 3d Printing Of Dielectric Elastomer Films Assisted By Electrostatic Force, Yuhao Wang, Yanfen Zhou, Wenyue Li, Zhanxu Liu, Bangzi Zhou, Shipeng Wen, Liang Jiang, Shaojuan Che, Jianwei Ma, Tony Betts, Stephen Jerrams, Fenglei Zhou

Articles

ompared with traditional methods for preparing dielectric elastomer (DE) films, electrohydrodynamic (EHD) 3D printing displays many advantages, notably full automation, computer control and flexible design. It also confers high printing resolution, high preparation efficiency with minimal probability of nozzle clogging. In this article, EHD 3D printing was employed to fabricate silicone rubber (SR) based DE films. In order to increase their dielectric constant, high dielectric copper phthalocyanine (CuPc) particles were added into the SR ink. Optimal printing conditions were determined by analyzing the effects of printing voltage and ink properties on the formation of liquid cone and the printed line …

Incoherent Radar Imaging For Breast Cancer Detection And Experimental Validation Against 3d Multimodal Breast Phantoms, Antonio Cuccaro, Angela Dell'aversano, Giuseppe Ruvio, Jacinta Browne, Raffaele Solimene

Articles

: In this paper we consider radar approaches for breast cancer detection. The aim is to give a brief review of the main features of incoherent methods, based on beam-forming and Multiple SIgnal Classification (MUSIC) algorithms, that we have recently developed, and to compare them with classical coherent beam-forming. Those methods have the remarkable advantage of not requiring antenna characterization/compensation, which can be problematic in view of the close (to the breast) proximity set-up usually employed in breast imaging. Moreover, we proceed to an experimental validation of one of the incoherent methods, i.e., the I-MUSIC, using the multimodal breast phantom …

Development And Testing Of A Dual‐Wavelength Sensitive Photopolymer Layer For Applications In Stacking Of Hoe Lense, Sanjay Keshri, Brian Rogers, Kevin Murphy, Kevin Reynolds, Izabela Naydenova, Suzanne Martin

Articles

Diffractive optical elements (DOEs) have been in development for many years and are an exciting technology with the capability to re‐direct light, using diffraction rather than refraction. Holographic Optical Elements (HOEs) are a subset of diffractive optical elements for which the pho‐ tonic structure is created holographically, i.e., by recording a specific interference pattern in a suit‐ able, photosensitive optical material. Volume HOEs are of particular interest for some applications because of their very high diffraction efficiency and single diffracted order; however, high disper‐ sion and angular wavelength selectivity still present significant challenges. This paper explores a method for producing …

In Depth Characterisation Of The Biomolecular Coronas Of Polymer Coated Inorganic Nanoparticles With Differential Centrifugal Sedimentation, André Perez-Potti, Hender Lopez, Beatriz Pelaz, Abuelmagd Abdelmonem, Mahmoud G. Soliman, Ingmar Schoen, Philip M. Kelly, Kenneth A. Dawson, Wolfgang J. Parak, Zeljka Krpetic, Marco P. Monopoli

Articles

Advances in nanofabrication methods have enabled the tailoring of new strategies towards the controlled production of nanoparticles with attractive applications in healthcare. In many cases, their characterisation remains a big challenge, particularly for small-sized functional nanoparticles of 5 nm diameter or smaller, where current particle sizing techniques struggle to provide the required sensitivity and accuracy. There is a clear need for the development of new reliable characterisation approaches for the physico-chemical characterisation of nanoparticles with significant accuracy, particularly for the analysis of the particles in the presence of complex biological fluids. Herein, we show that the Differential Centrifugal Sedimentation can …

Using Dialogue To Contextualize Culture, Ecosystem Services, And Cultural Ecosystem Services, Karen Allen, Celia Castellano, Sophia Pessagno

Open Access Fund Publications

We propose an alternative methodology for engaging with multifaceted cultural ecosystem services (CES) in the Global South. We explore the use of dialogue as a tool for understanding CES in situ, while developing shared action steps toward CES conservation among stakeholders. We held six dialogue workshops in the rural Central Pacific region of Costa Rica that were designed to foster understanding of shared community values for ecosystem services and associated conservation challenges. In two of the workshops, we employed model-based reasoning through which we used maps as boundary negotiating objects to nurture dialogue on CES values, observations, and concerns. In …

Beyond Charge Transfer: The Impact Of Auger Recombination And Fret On Pl Quenching In An Rgo-Qds System, Anton Babaev, Anastasiia Sokolova, Kevin Berwick, Alexander Baranov, Anatoly Fedorov, Aleksandr P. Litvin

Articles

PL intensity quenching and the PL lifetime reduction of fluorophores located close to gra‐ phene derivatives are generally explained by charge and energy transfer processes. Analyzing the PL from PbS QDs in rGO/QD systems, we observed a substantial reduction in average PL lifetimes with an increase in rGO content that cannot be interpreted solely by these two processes. To explain the PL lifetime dependence on the rGO/QD component ratio, we propose a model based on the Auger recombination of excitations involving excess holes left in the QDs after the charge transfer process. To validate the model, we conducted additional experiments …

Common Data Set, 2020-2021, Planning, Research, And Policy Analysis

Common Data Set (2001-present)

Common Data Set 2020-2021 for Illinois State University

Disease And Data In Society: How The Pandemic Expanded Data Collection And Surveillance Systems, Alan Butler, Enid Zhou

American University Law Review

The COVID-19 pandemic1 is a global tragedy of historic proportions, and its impacts on our families, communities, and social structures will be felt for many years to come. From the significant to the mundane, COVID-19 has changed many aspects of daily life. One of the less obvious but more long-lasting changes may well be the expansion of data collection and surveillance systems adopted both in response to, and as a result of, the pandemic.

Tracing The Invisible: Information Fiduciaries And The Pandemic, Anne L. Washington, Lauren Rhue

American University Law Review

Predictive data technology designed to contain the COVID-19 pandemic was not as successful as promised. Data-centric solutions to providing testing and tracing did little to limit the virus’s spread in part because they served only the most visible parts of society. This Article argues for more robust solutions to protect individuals’ privacy—whether those individuals are currently visible or invisible to pandemic technology—if pandemic technology is to provide the universal coverage necessary for a public health emergency, such as the COVID- 19 pandemic. First, we contend that current pandemic data technology operates under rigid technical and social assumptions that thwart participation …

The Invisible Ban: Negligent Disparate Impact, Kenneth R. Davis

American University Law Review

Title VII provides two primary anti-discrimination theories: disparate treatment and disparate impact. Disparate-treatment law prohibits intentional employment discrimination against a member of a protected class. Disparate impact law imposes strict liability on employers for using facially neutral employment practices that have a disproportionately adverse effect on a protected class.

This Article proposes following the structure of tort law as a template for the law of employment discrimination. A comparison of Title VII to tort law reveals that an analogy to negligent torts is absent from Title VII. The very language of Title VII provides the means to rectify this deficiency …

Reconstructing Patent Eligibility, Talha Syed

American University Law Review

Patent law’s doctrine of ineligible subject matter is widely agreed to be in a bad state of repair. Even those welcoming the Supreme Court’s return to express subject-matter bars have been left disoriented by the Court’s pronouncements in this area. Which subject matter is ineligible, why it is ineligible, and how it might become eligible have all remained enshrouded in mystery.

The nub of the problem, this Article contends, is two-fold. First, from its nineteenth-century origins to the present, courts grappling with ineligibility doctrine have remained in the grip of a series of “physicalist” misconceptions of the object of patent …

User Guide For Dust Modeling Using Cmaq 5.3.1 And Wrf 4.2.1, Zachary D. Lawless, Ariel S. Cable, Cameron B. Van Dyke, Bradley R. Adams

Faculty Publications

Researchers at Brigham Young University (BYU) have developed a software framework for modeling dust emission and transport using the Community Multiscale Air Quality (CMAQ) modeling system in conjunction with the Weather Research and Forecasting (WRF) model and other utility programs. This framework uses meteorological data, land use data, and soil properties to predict dust concentrations for a specified area. This User Guide describes the start-to-finish process required to install and utilize relevant software to calculate and visualize dust concentrations. Note that the examples and figures provided in the guide are specific to Utah in the western United States, where this …

Optimal Bidding Strategy For Physical Market Participants With Virtual Bidding Capability In Day-Ahead Electricity Markets, Hossein Mehdipourpicha, Rui Bo

Electrical and Computer Engineering Faculty Research & Creative Works

Virtual bidding provides a mechanism for financial players to participate in wholesale day-ahead (DA) electricity markets. The price difference between DA and real-time (RT) markets creates financial arbitrage opportunities for financial players. Physical market participants (MP), referred to as participants with physical assets, can also take advantage of virtual bidding but in a different way, which is to further amplify the value of their physical assets. Therefore, this work proposes a model for such physical MPs to maximize the profits. This model employs a bi-level optimization approach, where the upper-level subproblem maximizes the total profit from both physical generations and …

Accessing The Effect Of Renewables On The Wholesale Power Market, Mohammad Nure Alam

Research outputs 2014 to 2021

© 2021, Econjournals. All rights reserved. The purpose of this paper is to examine how rising wind energy generation (in MWh) impact the wholesale power market’s volatility (in SEK) across four bidding regions in Sweden. Prior investigations show that though the increase in electricity production from wind energy lowers the average day-ahead electricity wholesale prices, however, uncertainty and volatility of market price could rise due to wind energy’s intermittent nature. This study results show that Swedish power market experiences higher price volatility in long-run frequency when the generation of wind electricity increases. The reason for this high and volatile electricity …

An Investigation Of Students Algebraic Proficiency From A Structure Sense Perspective, Al Jupri, Ririn Sispiyati, Kin Eng Chin

Research outputs 2014 to 2021

Structure sense can be interpreted as an intuitive ability towards symbolic expressions, including skills to perceive, to interpret, and to manipulate symbols in different roles. This ability shows student algebraic proficiency in dealing with various symbolic expressions and is considered important to be mastered by secondary school students for advanced study or professional work. This study, therefore, aims to investigate students algebraic proficiency in terms of structure sense. To reach this aim, we set up a qualitative case study with the following three steps. First, after conducting a literature study, we designed structure sense tasks according to structure sense characteristics …

Hybrid Mamdani Fuzzy Rules And Convolutional Neural Networks For Analysis And Identification Of Animal Images, Hind R. Mohammed, Zahir M. Hussain

Research outputs 2014 to 2021

Accurate, fast, and automatic detection and classification of animal images is challenging, but it is much needed for many real-life applications. This paper presents a hybrid model of Mamdani Type-2 fuzzy rules and convolutional neural networks (CNNs) applied to identify and distinguish various animals using different datasets consisting of about 27,307 images. The proposed system utilizes fuzzy rules to detect the image and then apply the CNN model for the object’s predicate category. The CNN model was trained and tested based on more than 21,846 pictures of animals. The experiments’ results of the proposed method offered high speed and efficiency, …

Draft Final Solid Media Management Program Plan, Pioneer Technical Services, Inc.

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Undergraduate Catalog, Georgia Southern University

Undergraduate & Graduate Catalogs

No abstract provided.