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Full-Text Articles in Physical Sciences and Mathematics

An Enticing Study Of Prime Numbers Of The Shape 𝑝 = 𝑥^2 + 𝑦^2, Xiaona Zhou Dec 2020

An Enticing Study Of Prime Numbers Of The Shape 𝑝 = 𝑥^2 + 𝑦^2, Xiaona Zhou

Publications and Research

We will study and prove important results on primes of the shape 𝑥2 + 𝑦2 using number theoretic techniques. Our analysis involves maps, actions over sets, fixed points and involutions. This presentation is readily accessible to an advanced undergraduate student and lay the groundwork for future studies.


New Approaches To Frequent And Incremental Frequent Pattern Mining, Mehmet Bicer Jun 2020

New Approaches To Frequent And Incremental Frequent Pattern Mining, Mehmet Bicer

All Dissertations, Theses, and Capstone Projects

Data Mining (DM) is a process for extracting interesting patterns from large volumes of data. It is one of the crucial steps in Knowledge Discovery in Databases (KDD). It involves various data mining methods that mainly fall into predictive and descriptive models. Descriptive models look for patterns, rules, relationships and associations within data. One of the descriptive methods is association rule analysis, which represents co-occurrence of items or events. Association rules are commonly used in market basket analysis. An association rule is in the form of X → Y and it shows that X and Y co-occur with a given level ...


At The Interface Of Algebra And Statistics, Tai-Danae Bradley Jun 2020

At The Interface Of Algebra And Statistics, Tai-Danae Bradley

All Dissertations, Theses, and Capstone Projects

This thesis takes inspiration from quantum physics to investigate mathematical structure that lies at the interface of algebra and statistics. The starting point is a passage from classical probability theory to quantum probability theory. The quantum version of a probability distribution is a density operator, the quantum version of marginalizing is an operation called the partial trace, and the quantum version of a marginal probability distribution is a reduced density operator. Every joint probability distribution on a finite set can be modeled as a rank one density operator. By applying the partial trace, we obtain reduced density operators whose diagonals ...


A Comparison Of Tribal Sovereignty, Self-Determination, And Environmental Justice At The Epa’S Onondaga Lake And Tar Creek Superfund Sites, Thomas Clark Jun 2020

A Comparison Of Tribal Sovereignty, Self-Determination, And Environmental Justice At The Epa’S Onondaga Lake And Tar Creek Superfund Sites, Thomas Clark

All Dissertations, Theses, and Capstone Projects

The Environmental Protection Agency’s Superfund program mandates that Native American tribes are afforded the same treatment as states in the implementation of environmental remediation projects; however, the degree of coordination and consultation between the EPA and sovereign tribal governments varies widely between sites. Two of the Superfund program’s highest profile sites with Native American interest, northeast Oklahoma’s Tar Creek and central New York’s Onondaga Lake, are characterized by such a disparity in tribal participation. While Oklahoma’s Quapaw Tribe would ultimately enter into a number of cooperative agreements with the EPA for direct control over remedial ...


Convexity And Curvature In Hierarchically Hyperbolic Spaces, Jacob Russell-Madonia Jun 2020

Convexity And Curvature In Hierarchically Hyperbolic Spaces, Jacob Russell-Madonia

All Dissertations, Theses, and Capstone Projects

Introduced by Behrstock, Hagen, and Sisto, hierarchically hyperbolic spaces axiomatized Masur and Minsky's powerful hierarchy machinery for the mapping class groups. The class of hierarchically hyperbolic spaces encompasses a number of important and seemingly distinct examples in geometric group theory including the mapping class group and Teichmueller space of a surface, virtually compact special groups, and the fundamental groups of 3-manifolds without Nil or Sol components. This generalization allows the geometry of all of these important examples to be studied simultaneously as well as providing a bridge for techniques from one area to be applied to another.

This thesis ...


Averages And Nonvanishing Of Central Values Of Triple Product L-Functions Via The Relative Trace Formula, Bin Guan Jun 2020

Averages And Nonvanishing Of Central Values Of Triple Product L-Functions Via The Relative Trace Formula, Bin Guan

All Dissertations, Theses, and Capstone Projects

Harris and Kudla (2004) proved a conjecture of Jacquet, that the central value of a triple product L-function does not vanish if and only if there exists a quaternion algebra over which a period integral of three corresponding automorphic forms does not vanish. Moreover, Gross and Kudla (1992) established an explicit identity relating central L-values and period integrals (which are finite sums in their case), when the cusp forms are of prime levels and weight 2. Böcherer, Schulze-Pillot (1996) and Watson (2002) generalized this identity to more general levels and weights, and Ichino (2008) proved an adelic period formula which ...


Symmetric Rigidity For Circle Endomorphisms With Bounded Geometry And Their Dual Maps, John Adamski Jun 2020

Symmetric Rigidity For Circle Endomorphisms With Bounded Geometry And Their Dual Maps, John Adamski

All Dissertations, Theses, and Capstone Projects

Let $f$ be a circle endomorphism of degree $d\geq2$ that generates a sequence of Markov partitions that either has bounded nearby geometry and bounded geometry, or else just has bounded geometry, with respect to normalized Lebesgue measure. We define the dual symbolic space $\S^*$ and the dual circle endomorphism $f^*=\tilde{h}\circ f\circ{h}^{-1}$, which is topologically conjugate to $f$. We describe some properties of the topological conjugacy $\tilde{h}$. We also describe an algorithm for generating arbitrary circle endomorphisms $f$ with bounded geometry that preserve Lebesgue measure and their corresponding dual circle endomorphisms $f^*$ as ...


Generalized Four-Dimensional Effective Hadronic Supersymmetry Based On Quantum Chromodynamics (Qcd), Enxi Yu Jun 2020

Generalized Four-Dimensional Effective Hadronic Supersymmetry Based On Quantum Chromodynamics (Qcd), Enxi Yu

All Dissertations, Theses, and Capstone Projects

New discovery in multiple laboratories around the globe has shown a supersymmetry between hadrons—baryons and mesons. In order to generalize the phenomenological hadronic supersymmetry, the spin-flavor SU(6) symmetry need an extension. This thesis present how we can extend SU(6) symmetry so that hadronic supersymmetry can be included. In the future, this extension can be also applied to pentaquark and tetraquark bags, for which there is an ongoing research in laboratories.


Proton Pumping Mechanism In Cytochrome C Oxidase, Xiuhong Cai Jun 2020

Proton Pumping Mechanism In Cytochrome C Oxidase, Xiuhong Cai

All Dissertations, Theses, and Capstone Projects

Cytochrome c Oxidase (CcO), is the terminal electron acceptor in the membrane bound aerobic respiratory chain. It reduces O2 to water. The energy released by this reaction is stored by pumping protons from the high pH, N-side of the membrane to the low pH, P-side. The generated proton gradient provides the motive force for synthesis of ATP by the ATP synthase.

Building a proton gradient across the membrane requires that proton transport must occur along controllable proton pathways to prevent proton leakage to the N-side. It has been suggested that CcO function requires proton transfer channels in both the ...


Small-X Qcd Calculations With A Biased Ensemble, Gary Kapilevich Jun 2020

Small-X Qcd Calculations With A Biased Ensemble, Gary Kapilevich

All Dissertations, Theses, and Capstone Projects

In this dissertation, I will argue that we can study functional fluctuations in unintegrated gluon distributions, in the MV model as well as JIMWLK, using reweighting techniques, which will allow me to calculate QCD observables with "biased ensembles". This technique will enable me to study rare functional configurations of the gluon distributions, that might have been selected for in, for example, the centrality criteria used by the ATLAS and ALICE collaborations. After a review of these techniques, as well as a review of QCD physics at high energy in general, I will use biased ensembles to compute observables in two ...


Generating Entanglement With The Dynamical Lamb Effect, Mirko Amico Jun 2020

Generating Entanglement With The Dynamical Lamb Effect, Mirko Amico

All Dissertations, Theses, and Capstone Projects

According to quantum field theory, the vacuum is filled with virtual particles which can be turned into real ones under the influence of external perturbations. Phenomena of this kind are commonly referred to as quantum vacuum phenomena. Several quantum vacuum phenomena related to the peculiar nature of the quantum vacuum have been predicted, some of which, such as the Lamb shift and the Casimir effect, have been experimentally found. Other examples of quantum vacuum phenomena include the Unruh effect, the dynamical Casimir effect and the dynamical Lamb effect. The dynamical Lamb effect was first predicted by considering the situation of ...


Translation Distance And Fibered 3-Manifolds, Alexander J. Stas Jun 2020

Translation Distance And Fibered 3-Manifolds, Alexander J. Stas

All Dissertations, Theses, and Capstone Projects

A 3-manifold is said to be fibered if it is homeomorphic to a surface bundle over the circle. For a cusped, hyperbolic, fibered 3-manifold M, we study an invariant of the mapping class of a surface homeomorphism called the translation distance in the arc complex and its relation with essential surfaces in M. We prove that the translation distance of the monodromy of M can be bounded above by the Euler characteristic of an essential surface. For one-cusped, hyperbolic, fibered 3-manifolds, the monodromy can also be bounded above by a linear function of the genus of an essential surface.

We ...


Quadratic Packing Polynomials On Sectors Of R2, Kaare S. Gjaldbaek Jun 2020

Quadratic Packing Polynomials On Sectors Of R2, Kaare S. Gjaldbaek

All Dissertations, Theses, and Capstone Projects

A result by Fueter-Pólya states that the only quadratic polynomials that bijectively map the integral lattice points of the first quadrant onto the non-negative integers are the two Cantor polynomials. We study the more general case of bijective mappings of quadratic polynomials from the lattice points of sectors defined as the convex hull of two rays emanating from the origin, one of which falls along the x-axis, the other being defined by some vector. The sector is considered rational or irrational according to whether this vector can be written with rational coordinates or not. We show that the existence of ...


Model Theory Of Groups And Monoids, Laura M. Lopez Cruz Jun 2020

Model Theory Of Groups And Monoids, Laura M. Lopez Cruz

All Dissertations, Theses, and Capstone Projects

We first show that arithmetic is bi-interpretable (with parameters) with the free monoid and with partially commutative monoids with trivial center. This bi-interpretability implies that these monoids have the QFA property and that finitely generated submonoids of these monoids are definable. Moreover, we show that any recursively enumerable language in a finite alphabet X with two or more generators is definable in the free monoid. We also show that for metabelian Baumslag-Solitar groups and for a family of metabelian restricted wreath products, the Diophantine Problem is decidable. That is, we provide an algorithm that decides whether or not a given ...


Emerging Technologies In Healthcare: Analysis Of Unos Data Through Machine Learning, Reyhan Merekar May 2020

Emerging Technologies In Healthcare: Analysis Of Unos Data Through Machine Learning, Reyhan Merekar

Student Theses

The healthcare industry is primed for a massive transformation in the coming decades due to emerging technologies such as Artificial Intelligence (AI) and Machine Learning. With a practical application to the UNOS (United Network of Organ Sharing) database, this Thesis seeks to investigate how Machine Learning and analytic methods may be used to predict one-year heart transplantation outcomes. This study also sought to improve on predictive performances from prior studies by analyzing both Donor and Recipient data. Models built with algorithms such as Stacking and Tree Boosting gave the highest performance, with AUC’s of 0.6810 and 0.6804 ...


The Distribution Of The Greatest Common Divisor Of Elements In Quadratic Integer Rings, Asimina S. Hamakiotes May 2020

The Distribution Of The Greatest Common Divisor Of Elements In Quadratic Integer Rings, Asimina S. Hamakiotes

Student Theses

For a pair of quadratic integers n and m chosen randomly, uniformly, and independently from the set of quadratic integers of norm x or less, we calculate the probability that the greatest common divisor of (n,m) is k. We also calculate the expected norm of the greatest common divisor (n,m) as x tends to infinity, with explicit error terms. We determine the probability and expected norm of the greatest common divisor for quadratic integer rings that are unique factorization domains. We also outline a method to determine the probability and expected norm of the greatest common divisor of ...


Uptake Of Co(Ii) Ions From Aqueous Solutions By Low-Cost Biopolymers And Their Hybrid, Mohamdia Nassar, Abel E. Navarro May 2020

Uptake Of Co(Ii) Ions From Aqueous Solutions By Low-Cost Biopolymers And Their Hybrid, Mohamdia Nassar, Abel E. Navarro

Publications and Research

Alginate hydrogel beads (AB), spent peppermint leaf (PM), and a hybrid adsorbent of these two materials (ABPM), were studied as potential adsorbents of Cobalt (II) ions from aqueous solutions in batch system at room temperature. Equilibrium parameters such as solution pH, mass of adsorbent and the presence of a crowding agent on the adsorption of Co(II) ions were investigated. The results indicate that Co(II) uptake is maximized at pH values higher than 5, with adsorbent doses in the range 120-200 mg. Co(II) adsorption followed the trend AB > ABPM > PM with adsorption percentages of 77%, 71% and 64 ...


An In-Depth Look At P-Adic Numbers, Xiaona Zhou May 2020

An In-Depth Look At P-Adic Numbers, Xiaona Zhou

Publications and Research

In this study, we consider $p$-adic numbers. We will also study the $p$-adic norm representation of real number, which is defined as $\mathbb{Q}_p = \{\sum_{j=m}^{\infty }a_j p^j: a_j \in \mathbb{D}_p, m\in\mathbb{Z}, a_m\neq 0\} \cup \{0\}$, where $p$ is a prime number. We explore properties of the $p$-adics by using examples. In particular, we will show that $\sqrt{6},i \in \mathbb{Q}_5$ and $\sqrt{2} \in \mathbb{Q}_7 $. $p$-adic numbers have a wide range of applicationsnin fields such as string theory, quantum mechanics ...


Decision Tree For Predicting The Party Of Legislators, Afsana Mimi May 2020

Decision Tree For Predicting The Party Of Legislators, Afsana Mimi

Publications and Research

The motivation of the project is to identify the legislators who voted frequently against their party in terms of their roll call votes using Office of Clerk U.S. House of Representatives Data Sets collected in 2018 and 2019. We construct a model to predict the parties of legislators based on their votes. The method we used is Decision Tree from Data Mining. Python was used to collect raw data from internet, SAS was used to clean data, and all other calculations and graphical presentations are performed using the R software.


Presence Of Electron Donor/Acceptor Radiographic Contrast Media In Unusual Photosynthesis Environment Of Fresh Plant Cells: Near-Infrared And X-Ray Characterization, Tetiana Soloviova, Subhendra Sarkar, Amina Shahbaz, Aldona Gjoni May 2020

Presence Of Electron Donor/Acceptor Radiographic Contrast Media In Unusual Photosynthesis Environment Of Fresh Plant Cells: Near-Infrared And X-Ray Characterization, Tetiana Soloviova, Subhendra Sarkar, Amina Shahbaz, Aldona Gjoni

Publications and Research

Photosynthesis is a chemical process through which light energy is used to convert inorganic material (water and carbon dioxide) into organic molecules. Anaerobic photosynthesis, also known as anoxygenic photosynthesis, is the process by which certain bacteria use light energy to create organic compounds but do not adequately involve oxygen. In this experiment we are trying to influence photosynthesis (light and dark reactions: PS-I and PS-II by electron rich gadolinium/iodine complexes like Eovist and Isovue. We also performed X-ray and NIR reflection spectroscopy (NIRS) to measure Gd difusivity and PS-I/II infrared response. The results for X-ray (45kvp and 5 ...


An Empirical Study On The Use And Misuse Of Java 8 Streams, Raffi T. Khatchadourian, Yiming Tang, Mehdi Bagherzadeh, Baishakhi Ray Apr 2020

An Empirical Study On The Use And Misuse Of Java 8 Streams, Raffi T. Khatchadourian, Yiming Tang, Mehdi Bagherzadeh, Baishakhi Ray

Publications and Research

Streaming APIs allow for big data processing of native data structures by providing MapReduce-like operations over these structures. However, unlike traditional big data systems, these data structures typically reside in shared memory accessed by multiple cores. Although popular, this emerging hybrid paradigm opens the door to possibly detrimental behavior, such as thread contention and bugs related to non-execution and non-determinism. This study explores the use and misuse of a popular streaming API, namely, Java 8 Streams. The focus is on how developers decide whether or not to run these operations sequentially or in parallel and bugs both specific and tangential ...


An Empirical Study On The Use And Misuse Of Java 8 Streams, Raffi T. Khatchadourian, Yiming Tang, Mehdi Bagherzadeh, Baishakhi Ray Apr 2020

An Empirical Study On The Use And Misuse Of Java 8 Streams, Raffi T. Khatchadourian, Yiming Tang, Mehdi Bagherzadeh, Baishakhi Ray

Publications and Research

Streaming APIs allow for big data processing of native data structures by providing MapReduce-like operations over these structures. However, unlike traditional big data systems, these data structures typically reside in shared memory accessed by multiple cores. Although popular, this emerging hybrid paradigm opens the door to possibly detrimental behavior, such as thread contention and bugs related to non-execution and non-determinism. This study explores the use and misuse of a popular streaming API, namely, Java 8 Streams. The focus is on how developers decide whether or not to run these operations sequentially or in parallel and bugs both specific and tangential ...


Estimating Population Immunity Without Serological Testing, Andrew Lesniewski Apr 2020

Estimating Population Immunity Without Serological Testing, Andrew Lesniewski

Publications and Research

We propose an approximate methodology for estimating the overall level of immunity against COVID-19 in a population that has been affected by the recent epidemic. The methodology relies on the currently available mortality data and utilizes the properties of the SIR model. We illustrate the application of the method by estimating the recent levels of immunity in 10 US states with highest case numbers of COVID-19.


A Study Of Cholera Transmission, Urmi Ghosh-Dastidar Apr 2020

A Study Of Cholera Transmission, Urmi Ghosh-Dastidar

Open Educational Resources

A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a practical problem such as cholera transmission using various mathematical tools. Students will learn to develop a differential equation model based on practical scenarios, analyze the model using mathematics as well as numerical simulation, and finally describe the results in words that are understandable by the people who are not specialists in this ...


Impact Of Meteorological Factors On The Covid-19 Transmission: A Multicity Study In China, Jiangtao Liu, Ji Zhou, Jinxi Yao, Xiuxia Zhang, Lanyu Li, Xiaocheng Xu, Xiaotao He, Bo Wang, Shihua Fu, Tingting Niu, Jun Yan, Yanjun Shi, Xiaowei Ren, Jingping Niu, Weihao Zhu, Sheng Li, Bin Luo, Kai Zhang Apr 2020

Impact Of Meteorological Factors On The Covid-19 Transmission: A Multicity Study In China, Jiangtao Liu, Ji Zhou, Jinxi Yao, Xiuxia Zhang, Lanyu Li, Xiaocheng Xu, Xiaotao He, Bo Wang, Shihua Fu, Tingting Niu, Jun Yan, Yanjun Shi, Xiaowei Ren, Jingping Niu, Weihao Zhu, Sheng Li, Bin Luo, Kai Zhang

Publications and Research

The purpose of the present study is to explore the associations between novel coronavirus disease 2019 (COVID- 19) case counts and meteorological factors in 30 provincial capital cities of China. We compiled a daily dataset including confirmed case counts, ambient temperature (AT), diurnal temperature range (DTR), absolute humidity (AH) and migration scale index (MSI) for each city during the period of January 20th to March 2nd, 2020. First, we explored the associations between COVID-19 confirmed case counts, meteorological factors, and MSI using non-linear regression. Then, we conducted a two-stage analysis for 17 cities with more than 50 confirmed cases. In ...


Does Applying Deep Learning In Financial Sentiment Analysis Lead To Better Classification Performance?, Tao Wang, Changhe Yuan, Cuiyuan Wang Apr 2020

Does Applying Deep Learning In Financial Sentiment Analysis Lead To Better Classification Performance?, Tao Wang, Changhe Yuan, Cuiyuan Wang

Publications and Research

Using a unique data set from Seeking Alpha, we compare the deep learning approach with traditional machine learning approaches in classifying financial text. We apply the long short-term memory (LSTM) as the deep learning method and Naive Bayes, SVM, Logistic Regression, XGBoost as the traditional machine learning approaches. The results suggest that the LSTM model outperforms the conventional machine learning methods on all metrics. Based on the tSNE graph, the success of the LSTM model is partially explained as the high-accuracy LSTM model distinguishes between positive and negative important sentiment words while those words are chosen based on SHAP values ...


Syllabus Ee330 Electromagnetics, Nicholas Madamopoulos Mar 2020

Syllabus Ee330 Electromagnetics, Nicholas Madamopoulos

Open Educational Resources

Concepts covered in the undergraduate electrical engineering class of electromagnetics


Hydrophilic Porphyrins Based Chemosensors For First Transition Series Metal Ions [Chemistry], Sunaina Singh Mar 2020

Hydrophilic Porphyrins Based Chemosensors For First Transition Series Metal Ions [Chemistry], Sunaina Singh

Open Educational Resources

General Chemistry is a two-semester course (General Chemistry I, SCC 201 and General Chemistry II, SCC 202) required for majors in Biology and Environmental Sciences.

This lab experiment, aligned to LaGuardia Community College’s Inquiry and Problem Solving Core Competency and Written Communication Ability was designed for General Chemistry I (SCC 201 Honors) course. Honors courses in LaGuardia emphasize critical thinking, analytical writing, and introduce students to research. This lab experiment provides an opportunity for students to engage in hands-on laboratory work, to develop laboratory skills, and to conduct research in the classroom by using two water soluble porphyrins to ...


Proceedings Of The Cuny Games Conference 6.0, Robert O. Duncan, Joseph Bisz, Christina Boyle, Kathleen Offenholley, Maura A. Smale, Carolyn Stallard, Deborah Sturm Feb 2020

Proceedings Of The Cuny Games Conference 6.0, Robert O. Duncan, Joseph Bisz, Christina Boyle, Kathleen Offenholley, Maura A. Smale, Carolyn Stallard, Deborah Sturm

Publications and Research

The CUNY Games Network is an organization dedicated to encouraging research, scholarship and teaching in the developing field of games-based learning. We connect educators from every campus and discipline at CUNY and beyond who are interested in digital and non-digital games, simulations, and other forms of interactive teaching and inquiry-based learning. These proceedings summarize the CUNY Games Conference 6.0, where scholars shared research findings at a three-day event to promote and discuss game-based pedagogy in higher education. Presenters could share findings in oral presentations, posters, demos, or play testing sessions. The conference also included workshops on how to modify ...


Polymers For Extrusion‐Based 3d Printing Of Pharmaceuticals: A Holistic Materials–Process Perspective, Mohammad A. Azad, Deborah Olawuni, Georgia Kimbell, Abu Zayed Badruddoza, Md. Shahadat Hossain, Tasnim Sultana Feb 2020

Polymers For Extrusion‐Based 3d Printing Of Pharmaceuticals: A Holistic Materials–Process Perspective, Mohammad A. Azad, Deborah Olawuni, Georgia Kimbell, Abu Zayed Badruddoza, Md. Shahadat Hossain, Tasnim Sultana

Publications and Research

Three dimensional (3D) printing as an advanced manufacturing technology is progressing to be established in the pharmaceutical industry to overcome the traditional manufacturing regime of ʹone size fits for allʹ. Using 3D printing, it is possible to design and develop complex dosage forms that can be suitable for tuning drug release. Polymers are the key materials that are necessary for 3D printing. Among all 3D printing processes, extrusion‐based (both fused deposition modeling (FDM) and pressure‐assisted microsyringe (PAM)) 3D printing is well researched for pharmaceutical manufacturing. It is important to understand which polymers are suitable for extrusion‐based 3D ...