Digital Commons Network^™

(Si15-010) On Perturbations Of Gabor Frames, Jamkhongam Touthang

Applications and Applied Mathematics: An International Journal (AAM)

Stability plays a crucial role in frame theory and its applications. The present paper studies the interaction between Gabor frames and perturbations, presenting perturbation results related to small changes of the frame parameters and the window functions both in regular and irregular settings. Examples are provided for illustration. Additionally, the paper briefly discusses algorithms pertinent to Gabor frames under perturbations and highlights challenging areas in the field.

(Si15-121) Analyzing Seitr Tuberculosis Transmission Model Using Caputo–Fabrizio Fractional Derivative With Diverse Contact Rates, S. S. Sumaiya Banu, T. Gunasekar, S. Manikandan, Kamalendra Kumar, M. Suba

Applications and Applied Mathematics: An International Journal (AAM)

In the modern age, tuberculosis remains a pressing global health concern. Our study introduces and evaluates the SEITR pandemic TB transmission model, dividing the population into five compartments to explore distinct characteristics relevant to our investigation. Additionally, we delve into the application of fractional calculus. Through the Laplace transform method, we derive series solutions for all compartments, ensuring their existence and uniqueness. We also investigate the reproduction number of the tuberculosis epidemic model, examining how varying contact rates impact disease spread. We apply the predictor-corrector method for the Caputo-Fabrizio fractional derivative to verify the accuracy of our approach. This accurately …

(Si15-064) Permutation Pentanomials Over Finite Fields With Even Characteristic, Shalini Gupta, Sushil Kumar, Ashima .

Applications and Applied Mathematics: An International Journal (AAM)

Permutation polynomials over finite fields constitute an active area of research and play an important role in diverse domains, including finite geometry, combinatorial design, coding theory, and cryptography. The study of these polynomials has a long history, and many results have been obtained in recent years. This paper presents new classes of permutation pentanomials based on permutation over the unit circle of finite fields with even characteristic that contribute to the theoretical development of permutation polynomials.

(Si15-120) Exploring Fractional Difference Equations And Their Applications With Mahgoub-Transform, Tharmalingam Gunasekar, Periyasamy Udhayasankar, Prabakaran Raghavendran, Kamalendra Kumar

Applications and Applied Mathematics: An International Journal (AAM)

We discuss the introduction and study of the nabla discrete Mahgoub transform along with its defining properties. The transform of fractional sums and fractional differences are derived, demonstrating the applicability of the transform from the computational viewpoint. Employing the transform, fractional difference equations with initial value problems are solved, thereby enhancing the knowledge of their closed forms. As a side-effect of the Mahgoub-transforms, an attractive connection is established, showing that the discrete Mittag-Leffler function acts as the eigenfunction for the Caputo-type fractional difference operator nabla. These results strengthen the core basis for fractional calculus and herald industrial applications in various …

Extraterritoriality In Ai: Harmonizing The Digital Market Act And Us Antitrust Law, Daniel Goicouria

Vanderbilt Journal of Transnational Law

No abstract provided.

The Walking Moai Hypothesis: Archaeological Evidence, Experimental Validation, And Response To Critics, Carl P. Lipo, Terry L. Hunt

Anthropology Datasets

The transport of Rapa Nui's (Easter Island) monumental moai statues has been debated for over a century. Based on a systematic analysis of 962 moai, with a focus on 62 road statues, combined with 3D modeling and experimental trials, we demonstrate that these multi-ton megaliths were designed for transport vertically in a controlled "walking" motion facilitated by their carved shapes. Our evidence includes distinctive morphological features of road moai (wide, D-shaped bases and forward lean), archaeological road characteristics (4.5m wide, concave cross-sections), non-random breakage patterns, and successful experimental validation using a precisely-scaled 4.35 metric ton replica based on road …

Une Com Research And Scholarship Fall Forum October 2025, Une Com Research & Scholarship

Osteopathic Student Research Symposia

Program including abstracts from the University of New England College of Osteopathic Medicine’s 2025 Research and Scholarship Fall Forum.

Supplemental content: List of award winners.

Assessing Expected Cover Of Invasive Flora Species Near Corridor Features By Distance, Joshua G. Logan

Theses

Fragmentation of landscapes has been a growing topic of interest within scientific literature over the past several decades, as the way we as humans affect our planet becomes more apparent as the years go on. As humans, we have shaped the land and what it contains in immeasurable ways, erasing or forever altering entire natural ecosystems. Chief among the drivers altering these ecosystems is the fragmentation of landscapes, which can have all kinds of effects on natural ecosystems, from limiting nutrient transport to providing easier access for invasives to permeate throughout a landscape. Corridors are significant areas of interest regarding …

Melting Behavior Of Direct Reduced Iron Pellets With Different Carbon Content In Molten Steel And Molten Slag, Fabian Andres Calderon Hurtado, Joseph Govro, Arezoo Emdadi, Ronald J. O'Malley

Materials Science and Engineering Faculty Research & Creative Works

This study investigates the melting behavior of direct reduced iron (DRI) pellets in molten slag and steel baths, focusing on how the carbon content influences the melting rate through the stirring effects of gas evolution on heat transfer. A computational model using COMSOL Multiphysics 6.1 is developed to simulate the temperature profile at the pellet's core and the gas evolution resulting from the reaction between FeO and carbon within the pellet. The model is validated using experimental data from this study as well as literature on the DRI pellet–molten slag system. Results indicate that, despite the increased enthalpy demand associated …

Twenty-Fourth Annual International Advocate For Peace Award, Honoring Dr. Zafra Lerman, Zafra Lerman, Andrea K. Schneider, Felix Wu, Armando Gonzalez

Cardozo Journal of Conflict Resolution

On March 6, 2025, the Cardozo Journal of Conflict Resolution presented the twenty-fourth annual International Advocate for Peace Award to Dr. Zafra M. Lerman. The following is a transcript of the event.

Persistent Chemicals In Particulate Matter (Pm) Near A Hazardous Waste Thermal Treatment Facility, Chuqi Guo, Martine E. Mathieu-Campbell, Thomas Blanchard, Lavrent Khachatryan, Md Abdullah Al-Mamun, Qingzhao Yu, Myron Lard, Oluwafeyikemi Ogunmusi, Brenda Vallee, Wilma Subra, Iriel Edwards, David Malone, Slawo Lomnicki, Stephania A. Cormier, Jennifer Richmond-Bryant

School of Public Health Faculty Publications

Colfax, an overburdened community in central Louisiana, hosts the last commercially-operated open-burn/open-detonation (OB/OD) hazardous waste thermal treatment facility in the United States. Until December 2023 when their permit disallowed OB/OD, the facility processed military waste, fireworks, propellants, soils excavated from Superfund sites, and other hazardous materials. This community-engaged study measured ambient fine particulate matter (PM2.5), environmentally persistent free radicals (EPFRs), polychlorinated dibenzo-p-dioxins and dibenzofurans (PCDD/Fs), and metals using two high-volume PM2.5 samplers deployed 1.2 mi and 9.0 mi from the facility from April, 2022 through February, 2023. Elevated PM2.5 concentrations were recorded at both sites during spring and summer 2022. …

Assessing The Effectiveness Of Bridge Grate And Pipe Cattle Guard Designed To Mitigate Ocelot Road Mortality On Texas State Highway, Rupesh Maharjan, John H. Young Jr., Kevin W. Ryer, Md. Saydur Rahman, Richard J. Kline

School of Earth, Environmental, & Marine Sciences Faculty Publications

The mitigated and fenced section of State Highway 100, extending from Laguna Vista to Los Fresnos, includes five wildlife crossing structures and 16 modified cattle guards (also called wildlife guards) installed to mitigate ocelot road mortality. Bridge grate and pipe wildlife guards were deployed at vehicle entries, and we evaluated their effectiveness in preventing meso-carnivores and ungulates from entering the roadway through the fence gaps from April 2020 to 2024. Wildlife guards collectively were >82% effective in repelling ungulate attempts to enter the roadway, while only 16.64% of meso-carnivore attempts were repelled. The pipe wildlife guard (PWG) design repelled 86.79% …

Effect Of Different Implant Abutment Materials On Optical Properties Of Translucent Monolithic Zirconia Crowns, Nisha Patel, Geoffrey A. Thompson, Carl Drago, Mohamed Elshewy, David W. Berzins, Hongseok An

School of Dentistry Faculty Research and Publications

Purpose

The use of translucent monolithic zirconia crowns in implant dentistry raises concerns about the underlying abutment color affecting esthetic outcomes. While abutment effects are documented for traditional ceramics, data are limited for modern monolithic zirconia. The purpose of this investigation is to evaluate how abutment material and zirconia brand influence the final color of translucent monolithic zirconia crowns.

Materials and Methods

Eighty monolithic zirconia crowns (four brands; n = 20 each) were fabricated in shade A2 and cemented onto five abutment types: titanium (Ti), gold-hued Ti, pink-hued Ti, zirconia, and a natural dentin-shaded control. Crowns were placed on abutments …

Honors Faculty Research Talk Ml Tlachac, Ml Tlachac

Honors Programs

PowerPoint Slides of Honors Research Talk by ML Tlachac.

Mems 4110: Dbf Banner, Pachie Ackerman-Bennett, Joshua Paul Laue, Nazifa Younus

Mechanical Engineering Design Project Class

The DBFBanner is a project made for the WashU Design / Build / Fly club. After interviewing DBF club president Sarah Donner, we interpreted the club’s needs as: (1) a banner that could achieve vertical stability in flight; (2) the banner could deploy and release remotely; (3) the banner and associated components were as light as possible. We went through several design iterations, including mathematical and CAD models, mockups, prototypes, and testing apparatus. Many designs were considered, including designs based on linear motion and collapsible trusses. We arrived at a design that used a servo motor to rotate a 3D-printed …

Mems 4110: Precise Water Distribution System, Morelia R. Reyes-Perez, Jp Torack, Jakob Ayala

Mechanical Engineering Design Project Class

This project focuses on designing and prototyping an automatic precise watering system to support plant research conducted in the Washington University greenhouse. The customer, graduate student Christina Youngpeter, needs a reliable method for delivering accurately measured water volumes to individual plants as part of a study on hydration effects. Manual watering can be time consuming, our system will provide a programmable, repeatable, and low maintenance solution.

Mems 4110: The Egg Peeler, Susanna Yeh, Jessica Arnold, Peter Nesin, Finn Mcnamee

Mechanical Engineering Design Project Class

The purpose of this project is to assist the customer Neon Greens in accelerating their food preparation time by designing an egg peeler device. To have a better understanding of the customer needs and expectations, the design team participated in an interview with Neon Greens to address their vision and desires for this device. For the semester-long project, the team underwent various prototype stages, including the proof of concept, the initial prototype, and the final prototype. Our final design consists of a hopper that holds a batch of eggs on top and drops two eggs at a time, one on …

Mems 4110: Air Cannon Launcher Demo, Jackson Strauss, Avery Cohen, Wilson Gao, Jack Galloway

Mechanical Engineering Design Project Class

For our senior design class (MEMS 4110) at Washington University in St. Louis, we were tasked with creating a demonstration for the St. Louis Science Center that demonstrated an engineering principle or concept. The Science Center functions as a science-oriented museum and saw more than 600,000 visitors in 2024. For our demonstration, we wanted to showcase the principles of kinematic motion. Kinematic motion is study of the motion of objects without considering applied forces. Additionally, when the acceleration of an object is either zero or held constant, the trajectory path that the object follows can be described by a few …

Paraconsistent Logic And The Metaphysics Of The Incarnation: A Defense Of Jc Beall’S Contradictory Christology, Vincent Ray M. Daut

Loyola Papers

This article explores the application of paraconsistent logic to one of theology’s enduring challenges: the metaphysics of the Incarnation. The claim that Christ is both fully human and fully divine, as defined by the Council of Chalcedon, presents a significant ontological dilemma, as these two natures are inherently incompatible and mutually exclusive according to classical logic: on the one hand, human nature is defined by finitude, mutability, and moral fallibility, and divine nature is understood as infinite, immutable, and morally impeccable, on the other. Drawing on Jc Beall’s contradictory Christology, this article argues that paraconsistent logic provides a coherent framework …

Fall 2025: Antimatter

The Weldon Times

A student-run publication from the Schulich School of Law at Dalhousie University.

Co-Editors in Chief: Kimberly Gilson, Carleigh MacKenzie

Fcrh Honors Program: Fall 2025 Program Highlights, Fcrh Honors Program

FCRH Honors Program Newsletters and Reports

No abstract provided.

Analysis Of The Prevalence Of Dissociative Identity Disorder Using Neutrosophic Plithogenic Statistics, Verónica Elizabeth Saltos Paz, Tanya Elizabeth Borja Pante, Gloria Madaly Plasencia Álvarez, Milena Rodríguez Salcedo

Neutrosophic Sets and Systems

Dissociative Identity Disorder (DID) is one of the most enigmatic, intricate issues of contemporary psychiatry. It is challenging to assess how prevalent it is and what diagnosis means because dissociative identity disorder is a complicated disorder that manifests differently across populations. Yet when the disorder can be analyzed with statistically significant results from solid populations, critical advances in disorder awareness, treatment, and quality of life for those with IDD exist. Yet the literature does not provide such a statistical approach that will process uncertainty and vagueness based upon clinical observation of persons with DID. Therefore, this research attempts to apply …

Evaluating Community Satisfaction With Cultural Educational Projects Through Neutrosophic Plithogenic Iadov, Claudia Yadira Cuenca Macas, Jack Franck Jaramillo Herrera, Isaac Roger Martinez, Rudy Garcia Cobas, Nayade Caridad Reyes Palau

Neutrosophic Sets and Systems

This study addresses the gap of assessing the Kawymeno indigenous community's satisfaction with an interdisciplinary teaching project which was designed to enhance cultural identity for these children at risk of cultural loss due to other identity-possessing persons' facilitation. Preservation of cultural identity is important because with indigenous people and non-indigenous persons, for example, globalization might facilitate the loss of the ancestral tongue and age-old activities, thus, it's important to know whether such communities approve or not of such teaching endeavors. Relative to the international findings about intercultural education, very few studies exist that assess the phenomenon from a multicultural perspective …

Predictive Model Of School Dropout In Higher Education Through Learning Analytics With Neutrosophic Plithogenic Hypotheses, David Núñez, Purificación Galindo-Villardón

Neutrosophic Sets and Systems

Higher education dropout rates are an international problem, as many people abandon their studies, especially in the early years. This problem affects institutions, causing significant losses. In this context, it is essential to consider methods that allow for predicting dropout rates and taking rapid and effective measures. Objective: The main objective is to analyze prediction models using Learning Analytics, integrating neutrosophic plithogenic hypotheses, to identify early the risk of dropout in higher education. This provides institutions with useful tools to implement actions that help retain more students, considering uncertainty and complex interactions between academic and non-academic factors. Methodology: The method …

Write Free Or Die: Vol. 12, No. 01, Unh Writing Programs

Writing Program Newsletter

No abstract provided.

Aquinas And The Over-Hasty Conclusion, Charles Perkins

Faith and Philosophy: Journal of the Society of Christian Philosophers

No abstract provided.

Stem Integration In The Classroom: An Exploratory Case-Study On Teachers Defining Their Stem Identity And Role As A Stem Educator, Tawana Guillaume

Theses and Dissertations

The push for inclusion of science, technology, engineering, and mathematics (STEM) as a meta-discipline in K-12 education is recognition that the challenges faced by society require technology skills, interdisciplinary problem-solving, and an increased number of people entering STEM professions (Dare et al., 2014; English, 2016; Fan et al., 2021; Holstein & Keene, 2013; Roehrig et al., 2012, 2021; Sanders, 2008). The dissertation in practice explored STEM teacher identity and conceptions of STEM as a function of STEM professional experience outside of the field of education. The exploratory casestudy sought to identify the relationship between STEM career-based experiences – specifically the …

Improved Extraction And Detection Of Disinfection Byproducts, Impacts Of Wildland-Urban Interface Wildfires On Drinking Water, And Change In Disinfection Byproducts Over Time In Chlorinated Vs. Chloraminated Distribution Systems, Patrick Thomas Justen

Theses and Dissertations

Drinking water disinfection is critical to prevent the occurrence of waterborne pathogens in drinking water. However, disinfection causes the unintended formation of disinfection byproducts (DBPs) through the reaction of disinfectants (e.g., chlorine, chloramine) with natural organic matter (NOM), algal matter, or anthropogenic pollutants present in source waters. Exposure to DBPs is associated with increased bladder cancer, colorectal cancer, miscarriage, and birth defects. The U.S. EPA currently regulates eleven DBPs in drinking water—four trihalomethanes, five haloacetic acids, bromate, and chlorite. However, research shows that DBP related toxicity in drinking water is driven mainly by other, non-regulated DBPs, particularly iodinated DBPs and …

Coefficients Of The Characteristic Polynomial Of A Hypergraph And Their Combinatorial Properties, Utku Okur

Theses and Dissertations

We investigate the combinatorial properties of the characteristic polynomial $\phi_\mathcal{H}\ev{t}$ of a hypergraph $\mathcal{H}$, in particular, its coefficients. Due to a classical result of Jacobi, the generating function of closed walks at a vertex $u$ in a graph $G$ is determined by the rational function $\phi_{G-u}(t) / \phi_G(t)$. The connection between closed walks of $G$ and its characteristic polynomial has a known elegant proof via an application of Viennot's Heaps of Pieces framework, where cycles are taken as pieces and the concurrence relation is sharing a vertex. Here, we prove a bijection between heaps with a unique maximal piece containing …

Thesis: Comparing Functional And Effective Brain Connectivity Metrics For Eeg, Diksha Srishyla

Theses and Dissertations

Background:Brain connectivity measures have been used to study communication between brain regions using electroencephalography (EEG). Functional and effective connectivity estimate the synchronization and the flow of information between regions, respectively. However, findings from studies using different measures to investigate similar connections do not converge. To guide the selection of functional and effective connectivity measures in future studies, we systematically compared a set of measures in the context of resting state EEG. We examined four functional connectivity metrics (coherence (Coh), the imaginary part of coherence (imCoh), the corrected imaginary part of phase lagged value (ciPLV), the debiased weighted phase-locking index (dwPLI)) …