Digital Commons Network^™

Tau-Function Formulation For Bright, Dark Soliton And Breather Solutions To The Massive Thirring Model, Junchao Chen, Bao-Feng Feng

School of Mathematical & Statistical Sciences Faculty Publications

In the present paper, we are concerned with the link between the Kadomtsev–Petviashvili–Toda (KP–Toda) hierarchy and the massive Thirring (MT) model. First, we bilinearize the MT model under both the vanishing and nonvanishing boundary conditions. Starting from a set of bilinear equations of two-component KP–Toda hierarchy, we derive multibright solution to the MT model. Then, considering a set of bilinear equations of the single-component KP–Toda hierarchy, multidark soliton and multibreather solutions to the MT model are constructed by imposing constraints on the parameters in two types of tau function, respectively. The dynamics and properties of one- and two-soliton for bright, …

Probabilistic Solutions Of Fractional Differential And Partial Differential Equations And Their Monte Carlo Simulations, Tamer Oraby, Erwin Suazo, Harrinson Arrubla

School of Mathematical & Statistical Sciences Faculty Publications

The work in this paper is four-fold. Firstly, we introduce an alternative approach to solve fractional ordinary differential equations as an expected value of a random time process. Using the latter, we present an interesting numerical approach based on Monte Carlo integration to simulate solutions of fractional ordinary and partial differential equations. Thirdly, we show that this approach allows us to find the fundamental solutions for fractional partial differential equations (PDEs), in which the fractional derivative in time is in the Caputo sense and the fractional in space one is in the Riesz–Feller sense. Lastly, using Riccati equation, we …

Long-Time Asymptotics Of A Complex Cubic Camassa-Holm Equation, Hongyi Zhang, Yufeng Zhang, Zhijun Qiao

School of Mathematical & Statistical Sciences Faculty Publications

n this paper, we study the Cauchy problem of the following complex cubic Camassa-Holm (ccCH) equation mt=bux+12[m(|u|2−|ux|2)]x−12m(uu¯x−uxu¯),m=u−uxx,

where b is an arbitrary real constant. %By applying ∂¯-steepest descent method, l Long-time asymptotics of the equation is obtained through the ∂¯-steepest descent method. Firstly, based on the spectral analysis of the Lax pair and scattering matrix, the solution of the equation is able to be constructed %can be expressed by %the solution of via solving the corresponding Riemann-Hilbert problem (RHP). Then, we present %obtain different long time asymptotic expansions of the solution u(y,t) in different space-time solitonic regions of ξ=y/t. The …

Borsuk–Ulam Type Theorems For G-Spaces With Applications To Tucker Type Lemmas, Oleg R. Musin, Alexey Yu. Volovikov

School of Mathematical & Statistical Sciences Faculty Publications

In this paper we consider several generalizations of the Borsuk–Ulam theorem for G-spaces and apply these results to Tucker type lemmas for G-simplicial complexes and PL-manifolds.

Quantization Dimension For Inhomogeneous Bi-Lipschitz Ifs, Amit Priyadarshi, Mrinal Kanti Roychowdhury, Manuj Verma

School of Mathematical & Statistical Sciences Faculty Publications

Let ν be a Borel probability measure on a d-dimensional Euclidean space Rd, d≥1, with a compact support, and let (p0,p1,p2,…,pN) be a probability vector with pj>0 for 1≤j≤N. Let {Sj:1≤j≤N} be a set of contractive mappings on Rd. Then, a Borel probability measure μ on Rd such that μ=∑Nj=1pjμ∘S−1j+p0ν is called an inhomogeneous measure, also known as a condensation measure on Rd. For a given r∈(0,+∞), the quantization dimension of order r, if it exists, denoted by Dr(μ), of a Borel probability measure μ on Rd represents the speed at which the nth quantization error of order r …

Resurgence Of Habiro Elements, Samuel Crew, Ankush Goswami, Robert Osburn

School of Mathematical & Statistical Sciences Faculty Publications

We prove resurgence properties for the Borel transform of elements in the Habiro ring which satisfy a general type of strange identity. As an application, we provide evidence for (and against) conjectures in quantum topology due to Costin and Garoufalidis.

Classification On Boundary-Equilibria And Singular Continuums Of Continuous Piecewise Linear Systems, Hebai Chen, Zhaosheng Feng, Hao Yang, Linfeng Zhou

School of Mathematical & Statistical Sciences Faculty Publications

In this paper, we show that any switching hypersurface of n -dimensional continuous piecewise linear systems is an (n−1) -dimensional hyperplane. For two-dimensional continuous piecewise linear systems, we present local phase portraits and indices near the boundary equilibria (i.e. equilibria at the switching line) and singular continuum (i.e. continuum of nonisolated equilibria) between two parallel switching lines. The index of singular continuum is defined. Then we show that boundary-equilibria and singular continuums can appear with many parallel switching lines.

Quantization For A Set Of Discrete Distributions On The Set Of Natural Numbers, Juan Gomez, Haily Martinez, Mrinal Kanti Roychowdhury, Alexis Salazar, Daniel J. Vallez

School of Mathematical & Statistical Sciences Faculty Publications

The quantization scheme in probability theory deals with finding a best approximation of a given probability distribution by a probability distribution that is supported on finitely many points. In this paper, first we state and prove a theorem, and then give a conjecture. We verify the conjecture by a few examples. Assuming that the conjecture is true, for a set of discrete distributions on the set of natural numbers we have calculated the optimal sets of n-means and the nth quantization errors for all positive integers n. In addition, the quantization dimension is also calculated.

Note On Illuminating Constant Width Bodies, Alexey Glazyrin

School of Mathematical & Statistical Sciences Faculty Publications

Recently, Arman, Bondarenko, and Prymak constructed a constant width body in R n whose illumination number is exponential in n. In this note, we improve their bound by generalizing the construction. In particular, we construct a constant width body in R n whose illumination number is at least (τ + o(1))n, where τ ≈ 1.047.

Constrained Quantization For Probability Distributions, Megha Pandey, Mrinal Kanti Roychowdhury

School of Mathematical & Statistical Sciences Faculty Publications

In this paper, for a Borel probability measure P on a Euclidean space Rk, we extend the definitions of nth unconstrained quantization error, unconstrained quantization dimension, and unconstrained quantization coefficient, which traditionally in the literature known as nth quantization error, quantization dimension, and quantization coefficient, to the definitions of nth constrained quantization error, constrained quantization dimension, and constrained quantization coefficient. The work in this paper extends the theory of quantization and opens a new area of research. In unconstrained quantization, the elements in an optimal set are the conditional expectations in their own Voronoi regions, and it is not true …

Equity In Focus : Investigating Gender Disparities In Glioblastoma Via Propensity Score Matching, Solomon Eshun

School of Mathematical & Statistical Sciences Faculty Publications

Gender disparities in health outcomes have garnered significant attention, prompting investigations into their underlying causes. Glioblastoma (GBM), a devastating and highly aggressive form of brain tumor, serves as a case for such inquiries. Despite the mounting evidence on gender disparities in GBM outcomes, investigations specific at the molecular level remain scarce and often limited by confounding biases in observational studies. In this study, I aimed to investigate the gender-related differences in GBM outcomes using propensity score matching (PSM) to control for potential confounding variables. The data used was accessed from the Cancer Genome Atlas (TCGA), encompassing factors such as gender, …

University Of Richmond Magazine - Summer 2023

University of Richmond Magazine

The University of Richmond's Alumni Magazine was first published as The Alumni Bulletin in 1936 and continues to this day as the University of Richmond Magazine.

Theming, Service Performance, And Downstream Effects Of Subjective Leisure Experiences, Brian J. Hill, Patti Freeman, Gary Ellis, Emily Catalan

Faculty Publications

We examined determinants (i.e., theming and service performance) and results (proclivity to recommend, enjoyment, perceived value of time spent) of structured leisure experiences. Structured leisure experiences were measured in terms of intensity of engagement (focus on unfolding narrative), absorption (focus on sensory stimuli), and immersion (focus on performance) during participation. Experience measures (n=310) reported by 168 young adults upon exiting a variety of leisure, recreation, and hospitality venues supported the research hypotheses.

Perinatal Through 5-Years-Old Referral List, And Full Referral Flow Process For The Professional Psychology Clinic And Associated Clinics, Lauren V. Cruz

Graduate School of Professional Psychology: Doctoral Papers and Masters Projects

Referrals are an important and underacknowledged component of ethical clinical practice. While clinical care is understandably the core focus for most organizations, effective and efficient referrals can aide in improving client outcomes through successful connections to services, effective use of conjunctive services, and increased trust in mental health and healthcare systems/providers. In addition, improvements in the referral process can serve to decrease undue burden on providers and organizations. This document aims to review the literature on the need for and use of referrals, as well as elements of successful referrals, to inform the development of a referral self-assessment and flow …

Cognitive Assessment Of Latinx/E Bilinguals In The United States: A Fictitious Case Study, Vanessa Magro

Graduate School of Professional Psychology: Doctoral Papers and Masters Projects

Despite a growing body of literature and best-practice guidelines and considerations, assessment providers working with Latinx/e populations are left with numerous questions about how to translate these ideas into practice. This paper is meant to begin to answer some of these questions for Spanish-speaking providers administering cognitive tests to bilingual Latinx/e clients in the United States. The basis for these answers is a comprehensive literature review and my experience providing culturally-responsive assessment services to a bilingual Latinx/e population in the United States. A fictitious case study is included so that providers can get a concrete idea of how to bring …

Final Report: Conceptualizing Ethics, Authenticity, And Efficacy Of Simulations In Teacher Education, Carrie Wilkerson Lee, Liza Bondurant, Bima Sapkota, Heather Howell, Yvonne Lai

School of Mathematical & Statistical Sciences Faculty Publications

This working group was a continuation of working groups in 2019 and 2021 that initially aimed to focus on equity in simulations of practice in mathematics teacher education. We began by discussing our conceptualizations of simulations and equity. Next, we reflected on the lack of work that currently exists at the intersection of simulations and equity as well as our limited collective expertise in this space. We proposed the following areas of potential research: Access, Design, Affective Domains, Teaching Practices, Assessment, Critical Conversations. Attendees self-selected into focus groups and met to discuss their current work and how future work could …

Leukocytoclastic Vasculitis In A Patient With Crohn Disease: A Case Report., Mark Daniele Bugada, Vamsi K Emani

Ambulatory and Primary Care Articles

Leukocytoclastic vasculitis (LCV) is an idiopathic small vessel vasculitis. Leukocytoclastic vasculitis can be found in a spectrum of diseases and is noted as a rare extraintestinal manifestation of Crohn disease. This case report examines a 55-year-old man with a previous diagnosis of Crohn disease who was admitted after 5 days with a persistent rash. A biopsy confirmed LCV, and the patient followed up with dermatology for outpatient treatment. This study adds to the sparse medical literature on LCV cases relating to Crohn disease.

Managers’ Use Of Humor On Public Earnings Conference Calls, Andrew C. Call, Rachel W> Flam, Joshua A. Lee, Nathan Y. Sharp

Faculty Publications

Despite the prevalence and importance of humor in interpersonal communication, the disclosure literature is silent on the use of humor in the context of corporate communication. Using a sophisticated machine learning algorithm, we identify managers’ successful uses of humor during public earnings conference calls. When managers use humor on an earnings call, stock market returns and analyst forecast revisions following the call are more positive, primarily because of a muted response to negative earnings news. Consistent with managers’ successful use of humor being a favorable signal of future firm performance, we find no evidence of a return reversal over the …

The Pure Language Project, Dan Belnap, Michael Mackay

Faculty Publications

In the summer of 1835, Joseph Smith and his associates purchased four mummies and some papyri scrolls from Michael Chandler.1 That summer Joseph would participate in a project that would produce a fascinating set of texts, referred to today as the Egyptian Language Documents (ELD), used and compiled mostly in Kirtland, but also consulted and expanded in Nauvoo.2 These documents, which include three incomplete variants of what was called an “alphabet” as well as an incomplete “grammar,” integrated a series of characters with explanations.

Current Issues Faced By Controllers, Anthony C. Bucaro, T. Jeffrey Wilks, Christopher Yust

Faculty Publications

We conduct a series of semi-structured interviews with controllers and chief accounting officers from large public and private companies—over half are Fortune 500—to identify the current issues faced by the controllership function. We map these issues into the Institute of Management Accountants (IMA®) Management Accounting Competencies and highlight recent research that addresses these issues and where there are gaps. Our findings suggest three IMA competencies that weigh heavily on controllers’ minds: (1) collaboration, teamwork, and relationship management; (2) information systems and technology; and (3) talent management. Finally, we describe how the insights from controllers suggest important improvements to accounting curriculum …

The Pacifican January 2023, University Of The Pacific

All Issues - Student Newspaper, The Pacifican, Pacific Weekly

No abstract provided.

In California And Europe, A New Dawn For Corporate Climate Disclosure, Magali Delmas, Michael B. Gerrard, Eric Orts

Faculty Scholarship

The Securities and Exchange Commission (SEC) is expected to finalize a new rule this month to cover required corporate climate disclosures by public-reporting companies. But the bigger news is that California Gov. Gavin Newsom (D) has announced that he will soon sign into law two climate change disclosure bills passed by the state Legislature.

Aerostructural Predictions Combining Fenics And A Viscous Vortex Particle Method, Ryan Anderson, Andrew Ning, Ru Xiang, Sebastiaan P. C. Van Schie, Mark Sperry, Darshan Sarojini, David Kamensky, John T. Hwang

Faculty Publications

Electric Vertical Takeoff and Landing (eVTOL) aircraft experience complex, unsteady aerodynamic interactions between rotors, wings, and fuselage that can make design difficult. We introduce a new framework for predicting aerostructural interactions. Specifically, we demonstrate the coupling of a finite element solver with Reissner-Mindlin shell theory for computing deflections and a viscous vortex particle for capturing wakes. We perform convergence studies of the aerodynamics and the coupled aerostructural model. Finally, we share some preliminary results of the dynamic aeroelastic response of Uber’s eCRM-002 main wing, and share some qualitative observations.

Beulahland: A Novel, Emily Ann Marie Nelson

Graduate Student Theses, Dissertations, & Professional Papers

Beulahland follows Esther and Beulah Baxter, a pair of orphaned sisters traveling across the American west with their evangelist uncle in 1994. Raised on the seedy motivational speaking circuit of small towns and youth groups, Esther is determined to free Beulah from this nomadic way of life under from the neglectful care of their uncle August, a fame-chasing bodybuilder who wants to bring the world to God through his demonstrations of physical strength. This plan is put on hold when Beulah falls ill during a routine performance in the wildfire-wracked town of Orchard, Washington, and almost dies; her near-death experience …

Asked For Another Mountain, Nichole Lynn Moore

Graduate Student Theses, Dissertations, & Professional Papers

No abstract provided.

The Sabbath In The Old Testament, Dana M. Pike

Faculty Publications

The scriptures consistently depict the significance of sacred space and sacred time in the lives of the Lord’s covenant people. Sacred time is still experienced today, as in the past, through commemorations and celebrations on specific days that are dedicated to God and thus regarded as holy. These days punctuate the passing of ordinary or common time and are intended to help bring focus and clarity to relationships with the divine.

Perceptual Ratings Of Pronunciation For L2 Learners Of English As A Function Of Task Type, Word Position, And Listener Expertise, Shawn L. Nissen, Rachel Kemmey, K. James Hartshorn

Faculty Publications

Abstract Second language (L2) learners of English must learn to pro-duce English phonemes, words, and sentences. These L2learners make many errors when learning English; they may change the place or manner of articulation, insert vowels, or delete consonants. Obstruent sounds, such as fricatives, affricates, and stops, can be especially difficult for L2 learners. This study analyzed native English speakers’ perception of the quality of obstruents produced by native Mandarin Chinese and Korean speakers. Target words containing obstruents had been produced in three different tasks: in a carrier phrase, in a paragraph, and in a spontaneous speechsample. Obstruents were produced in …

Gvsu Undergraduate And Graduate Catalog, 2023-2024, Grand Valley State University

Course Catalogs, 1963 - Current

Grand Valley State University 2023-2024 undergraduate and graduate course catalog. Course catalogs are published annually to provide students with information and guidance for enrollment.

Undammed: A Narrative, Mark Abram Schoenfeld

Graduate Student Theses, Dissertations, & Professional Papers

Having left behind the religious faith of his youth, the narrator charts out a new belief system rooted in learning the manifold stories that make up a place and its people. More and more, the narrator feels drawn to the river, which forces him to confront the impact his city and the seven reservoirs above it have had on the waterway.

The Effects Of Brand Relationships On Justice Perceptions In Service Recovery, Cid Gonçalves Filho, Kip Kiefer, Marc Fetscherin, Alexander Blandina, Marcelo Nacif Rocha, Plínio Rafael Reis Monteiro

Faculty Publications

Purpose: This paper explores how brand relationship quality (BRQ) influences consumers’ perceived sense of justice in the context of service recovery situations.

Design/methodology/approach: We conducted a survey of 368 consumers who experienced an automotive service recovery.

Findings: Stronger BRQ led to higher levels of perceived justice (distributive, procedural, and interactional), which in turn led to higher customer satisfaction of complaint handling. Ultimately, higher customer satisfaction led to lower complaining, lower retaliation, and higher purchase intention. Our alternative model tested the effects of BRQ sub-dimensions on justice perception. Interestingly, trust produced a “love-is-blind” effect, while intimacy revealed a “love-becomes-hate” effect.

Originality: …