School of Mathematical and Statistical Sciences Faculty Publications and Presentations

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

 

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Submissions from 2023

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Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation, Guangxiong Zhang, Peng Huang, Bao-Feng Feng, and Chengfa Wu

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Long-time asymptotics of a complex cubic Camassa-Holm equation, Hongyi Zhang, Yufeng Zhang, and Zhijun Qiao

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Multi-Symplectic Simulation on Soliton-Collision for Nonlinear Perturbed Schrödinger Equation, Peijun Zhang, Weipeng Hu, Zhen Wang, and Zhijun Qiao

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Figured Worlds of Women Mathematics Education Scholars, Lili Zhou, Ricki L. Geller-McKee, Brooke Max, Hyunyi Jung, Bima Sapkota, Jill Newton, and Lindsay M. Keazer

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Rogue peakon, well-posedness, ill-posedness and blow-up phenomenon for an integrable Camassa-Holm type equation, Mingxuan Zhu, Zhenteng Zeng, Zaihong Jiang, Baoqiang Xia, and Zhijun Qiao

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p-Adic Statistical Field Theory and Deep Belief Networks, Wilson A. Zuniga-Galindo

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p-Adic statistical field theory and convolutional deep Boltzmann machines, Wilson A. Zuniga-Galindo, Cuiyu He, and B. A. Zambrano-Luna

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Hierarchical Wilson–Cowan Models and Connection Matrices, Wilson A. Zuniga-Galindo and Brian A. Zambrano-Luna

Submissions from 2022

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Using a stochastic continuous-time Markov chain model to examine alternative timing and duration of the COVID-19 lockdown in Kuwait: what can be done now?, Mustafa Al-Zoughool, Tamer Oraby, Harri Vainio, Janvier Gasana, Joseph C. Longenecker, Walid Al Ali, Mohammad AlSeaidan, Susie Elsaadany, and Michael G. Tyshenko

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A GPU accelerated Genetic Algorithm for the Construction of Hadamard Matrices, Andras Balogh and Raven Ruiz

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Heat and mass transfer of a molten polymer conveying nanoparticles in a wire coating process with temperature-dependent fluid properties: Optimization using Response surface method, Mahanthesh Basavarajappa and Dambaru Bhatta

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Study of flow of Buongiorno nanofluid in a conical gap between a cone and a disk, Mahanthesh Basavarajappa and Dambaru Bhatta

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Study of Multilayer Flow of a Bi-Viscous Bingham Fluid Sandwiched Between Hybrid Nanofluid in a Vertical Slab with Nonlinear Boussinesq Approximation, Mahanthesh Basavarajappa, Shruthy Myson, and Kuppalapalle Vajravelu

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The Spectral Picture and Joint Spectral Radius of the Generalized Spherical Aluthge Transform, Chafiq Benhida, Raul E. Curto, Sang Hoon Lee, and Jasang Yoon

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Potential theory with multivariate kernels, Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin, Ryan Matzke, Josiah Park, and Oleksandr Vlasiuk

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Optimal measures for p-frame energies on spheres, Dmitriy Bilyk, Alexey Glazyrin, Ryan Matzke, Josiah Park, and Oleksandr Vlasiuk

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Alternative SIAR models for infectious diseases and applications in the study of non-compliance, Marcelo Bongarti, Luke Diego Galvan, Lawford Hatcher, Michael R. Lindstrom, Christian Parkinson, Chuntian Wang, and Andrea L. Bertozzi

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Evolution of Eigenvalues of a Geometric Operator Under Ricci Flow on a Riemannian Manifold, Paul Bracken

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Monotonicity properties of functionals under Ricci flow on manifolds without and with boundary, Paul Bracken

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Local Well-Posedness of the Cauchy Problem for a p -Adic Nagumo-Type Equation, L. F. Chacón-Cortés, C. A. Garcia-Bibiano, and Wilson A. Zuniga-Galindo

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Multi-scale Hybridized Topic Modeling: A Pipeline for Analyzing Unstructured Text Datasets via Topic Modeling, Keyi Cheng, Stefan Inzer, Adrian Leung, Xiaoxian Shen, Michael Perlmutter, Michael Lindstrom, Joyce Chew, Todd Presner, and Deanna Needell

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A simulation study of techno-economics and resilience of the solar PV irrigation system against grid outages, Hemal Chowdhury, Tamal Chowdhury, Md Salman Rahman, Hasan Masrur, and Tomonobu Senjyu

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Quantization for Infinite Affine Transformations, Dogan Comez and Mrinal Kanti Roychowdhury

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Canonical Sequences of Optimal Quantization for Condensation Measures, Doğan Çömez and Mrinal Kanti Roychowdhury

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Solution of the reconstruction-of-the-measure problem for canonical invariant subspaces, Raul E. Curto, Sang H. Lee, and Jasang Yoon

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Congruences for Consecutive Coefficients of Gaussian Polynomials with Crank Statistics, Dennis Eichhorn, Lydia Engle, and Brandt Kronholm

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Comparative analysis of all-terrain vehicles, motorcycle and automobile-related trauma in a rural border community of the USA, Haissam S. Elzaim, Kristina Vatcheva, Annelyn Torres-Reveron, Gregery Pequeno, and Monica Michelle Betancourt-Garcia

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The impact of COVID-19 on the format and nature of academic conferences in mathematics education, Johann Engelbrecht, Oh Nam Kwon, Marcelo C. Borba, Hyunkyoung Yoon, Younggon Bae, and Kyungwon Lee

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The Cartesian analytical solutions for the N-dimensional compressible Navier-Stokes equations with density-dependent viscosity, Engui Fan, Zhijun Qiao, and ManWai Yuen

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The Reduced Order Method for Solving the Linear Complementarity Problem with an M-Matrix, Xi-Ming Fang, Heng-Jun Zhao, and Zhijun Qiao

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Darboux transformation and solitonic solution to the coupled complex short pulse equation, Bao-Feng Feng and Liming Ling

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Ground state solution to the biharmonic equation, Zhaosheng Feng and Yu Su

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A comparison of statistical methods for modeling count data with an application to hospital length of stay, Gustavo Fernandez and Kristina Vatcheva

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Exploring the Effects of Differing Linguistic Accommodation Programs among Bilingual Latinx Students’ Mathematics Self-efficacy and Achievement, Luis M. Fernandez

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Number of bounded distance equivalence classes in hulls of repetitive Delone sets, Dirk Frettlöh, Alexey Garber, and Lorenzo Sadun

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Euclidean quantum field formulation of p-adic open string amplitudes, A. R. Fuquen-Tibatá, H. García-Compeán, and Wilson A. Zuniga-Galindo

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Frequentist and Bayesian analysis methods for case series data and application to early outpatient COVID-19 treatment case series, Eleftherios Gkioulekas, Peter A. McCullough, and Vladimir Zelenko

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Statistical Analysis Methods Applied to Early Outpatient COVID-19 Treatment Case Series Data, Eleftherios Gkioulekas, Peter A. McCullough, and Vladimir Zelenko

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OPTIMAL QUANTIZATION FOR MIXED DISTRIBUTIONS GENERATED BY TWO UNIFORM DISTRIBUTIONS, Ashley Gomez, Olga Lopez, and Mrinal Kanti Roychowdhury

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Logarithmic algorithms for fair division problems, Alexandr Grebennikov, Xenia Isaeva, Andrei V. Malyutin, Mikhail Mikhailov, and Oleg R. Musin

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Justice and the Mathematics Classroom: Realizing the Goals of the AMTE Standards for Preparing Teachers of Mathematics, Shandy Hauk, Marilyn Strutchens, Dorothy Y. White, Jennifer Bay-Williams, Jenq Jong Tsay, and Billy Jackson

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A mesh-free method using piecewise deep neural network for elliptic interface problems, Cuiyu He, Xiaozhe Hu, and Lin Mu

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Game between the third party payment service provider and bank in mobile payment market, Hui Jiang, Junhai Ma, and Zhaosheng Feng

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Political Corruption and Corporate Risk-Taking, Hinh Khieu, Nam H. Nguyen, Hieu V. Phan, and Jon A. Fulkerson

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Diederich-Fornæss index and global regularity in the ∂-Neumann problem: domains with comparable Levi eigenvalues, Bingyuan Liu and Emil J. Straube

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Optimized heat transport in Marangoni boundary layer flow of a magneto nanomaterial driven by an exponential interfacial temperature distribution, Joby Mackolil and Mahanthesh Basavarajappa

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Thermo-solutal Marangoni convective assisting/resisting flow of a nanofluid with radiative heat flux: A model with heat transfer optimization, Joby Mackolil and Mahanthesh Basavarajappa

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A Robust Bootstrap Control Chart for the Log-Logistic Percentiles, Zhuanzhuan Ma, Chanseok Park, and Min Wang

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Advanced thermodynamics analysis for sustainable residential sector: a case study of Turkish residential sector, Monirul Islam Miskat, Salman Rahman, Quddus Tushar, Shishir Barai, Nazia Hossain, Fazleh Rabbi, Nadia Sultana Nisha, and Sadiq Sait

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General rogue wave solutions to the discrete nonlinear Schrödinger equation, Yasuhiro Ohta and Bao-Feng Feng

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Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN, Paul Valsecchi Oliva, Yue Wu, Cuiyu He, and Hao Ni

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Navigating Mathematics Teacher Preparation During A Time of Crisis, Zareen G. Rahman, Rani Satyam, and Younggon Bae

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On three-dimensional rotating viscoelastic jets in the Giesekus model, Daniel N. Riahi and Saulo Orizaga

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Predicting the Outcomes of Internet-Based Cognitive Behavioral Therapy for Tinnitus: Applications of Artificial Neural Network and Support Vector Machine, Hansapani Rodrigo, Eldré W. Beukes, Gerhard Andersson, and Vinaya Manchaiah

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Quantization for a probability distribution generated by an infinite iterated function system, Lakshmi Roychowdhury and Mrinal Kanti Roychowdhury

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Quantization for a probability distribution generated by an infinite iterated function system, Lakshmi Roychowdhury and Mrinal Kanti Roychowdhury

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Optimal Quantization for Some Triadic Uniform Cantor Distributions with Exact Bounds, Mrinal Kanti Roychowdhury

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Affect graphing: leveraging graphical representations in the study of students’ affect in mathematics, V. Rani Satyam, Younggon Bae, John P. Smith III, and Mariana Levin

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Functional consequences of extended high frequency hearing impairment: Evidence from the speech, spatial, and qualities of hearing scale, Udit Saxena, Srikanta K. Mishra, Hansapani Rodrigo, and Moumita Choudhury

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An integrable semidiscretization of the modified Camassa-Holm equation with linear dispersion term, Han-Han Sheng, Guo-Fu Yu, and Bao-Feng Feng

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Ground state solutions for the fractional problems with dipole-type potential and critical exponent, Yu Su and Zhaosheng Feng

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Online list coloring for signed graphs, Melissa Tupper and Jacob A. White

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Networks of necessity: Simulating COVID-19 mitigation strategies for disabled people and their caregivers, Thomas E. Valles, Hannah Shoenhard, Joseph Zinski, Sarah Trick, Mason A. Porter, and Michael R. Lindstrom

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Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic–quintic Camassa–Holm type equation, Weifang Weng, Zhijun Qiao, and Zhenya Yan

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Brooks' theorem for 2-fold coloring, Jacob A. White

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Chromatic Quasisymmetric Class Functions of Linearized Combinatorial Hopf Monoids, Jacob A. White

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On Equivariant flag f-vectors for balanced relative simplicial complexes, Jacob A. White

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Multi-breather solutions to the Sasa-Satsuma equation, Chengfa Wu, Bo Wei, Changyan Shi, and Bao-Feng Feng

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General rogue wave solutions to the Sasa-Satsuma equation, Chengfa Wu, Guangxiong Zhang, Changyan Shi, and Bao-Feng Feng

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Impact of damping amplitude on chaos detection reliability of the improved 0–1 test for oversampled and noisy observations, Qintai Xiao, Yanan Liao, Wei Xu, Junchao Chen, and Hua Wang

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Global in time self-interacting Dirac fields in the de Sitter space, Karen Yagdjian

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Qualitative analysis for a two-component peakon system with cubic nonlinearity, Shaojie Yang and Zhijun Qiao

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Preferential stiffness and the crack-tip fields of an elastic porous solid based on the density-dependent moduli model, Hyun C. Yoon, S. M. Mallikarjunaiah, and Dambaru Bhatta

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Asymptotic Spreading for a Diffusive Chemostat System in Space-Time Periodic Environment, Shuo Zhang, Zhaosheng Feng, and Guo Lin

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Definite Condition of the Evolutionary (p)over-right-arrow(x)-Laplacian Equation, Huashui Zhan and Zhaosheng Feng

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Dynamical Analysis for a Malaria Transmission Model, Zhihong Zhao, Shaochun Li, and Zhaosheng Feng

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Bi-Dbar-Approach for a Coupled Shifted Nonlocal Dispersionless System, Junyi Zhu, Kaiwen Shao, and Zhijun Qiao

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Analytical properties for the fifth-order b-family Novikov model, Mingxuan Zhu, Zaihong Jiang, and Zhijun Qiao

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Multiple Periodic Vibrations of Auxetic Honeycomb Sandwich Plate with 1:2 Internal Resonance, Shaotao Zhu, Jing Li, Zhijun Qiao, and Ji Zhou

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Eigen’s paradox and the quasispecies model in a non-Archimedean framework, Wilson A. Zuniga-Galindo

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Non-Archimedean quantum mechanics via quantum groups, Wilson A. Zuniga-Galindo

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Non-Archimedean Statistical Field Theory, Wilson A. Zuniga-Galindo

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p-Adic analysis: A quick introduction, Wilson A. Zuniga-Galindo

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Ultrametric Diffusion, Rugged Energy Landscapes and Transition Networks, Wilson A. Zuniga-Galindo

Submissions from 2021

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Early ambulatory outpatient sequenced antiviral multidrug COVID-19 treatment (including for Delta or similar variants) for high-risk children and adolescents, Paul Elias Alexander, Howard C. Tenenbaum, Harvey Risch, Richard Urso, Craig M. Wax, Holly Jonely, Ramin Oskoui, Russell Gonnering, Roger G. Hodkinson, and Eleftherios Gkioulekas

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Local well-posedness and blow-up for a family of U(1)-invariant peakon equations, Stephen C. Anco, Huijun He, and Zhijun Qiao

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Energy on spheres and discreteness of minimizing measures, Dmitriy Bilyk, Alexey Glazyrin, Ryan Matzke, Josiah Park, and Oleksandr Vlasiuk

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Local Zeta Functions and Koba–Nielsen String Amplitudes, Miriam Bocardo-Gaspar, Hugo García-Compeán, Edgar Y. López, and Wilson A. Zúñiga-Galindo

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An Introduction to Generalized Entropy and Some Quantum Applications, Paul Bracken

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Behavior of entanglement entropy near periodic orbits in a hamiltonian dynamical system, Paul Bracken

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Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation, Aiyong Chen, Tongjie Deng, and Zhijun Qiao

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General bright and dark soliton solutions to the massive Thirring model via KP hierarchy reductions, Junchao Chen and Bao-Feng Feng

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Design of a stand-alone energy hybrid system for a makeshift health care center: A case study, Tamal Chowdhury, Hemal Chowdhury, Samiul Hasan, Md Salman Rahman, M. M. K. Bhuiya, and Piyal Chowdhury

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Estimation of the Healthcare Waste Generation During COVID-19 Pandemic in Bangladesh, Tamal Chowdhury, Hemal Chowdhury, Md Salman Rahman, Nazia Hossain, Ashfaq Ahmed, and Sadiq M. Sait

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Polynomial Embeddings of Unilateral Weighted shifts in 2-Variable Weighted Shifts, Raul E. Curto, Sang H. Lee, and Jasang Yoon

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An Algorithm to Compute CVTs for Finitely Generated Cantor Distributions, Carl P. Dettmann and Mrinal Kanti Roychowdhury

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Positive solutions for the fractional Schrödinger equations with logarithmic and critical non-linearities, Haining Fan, Zhaosheng Feng, and Xingjie Yan

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Latinx Students’ Mathematics Anxiety and Their Study Habits: Exploring Their Relationship at the Postsecondary Level, Luis M. Fernandez, Xiaohui Wang, Olga Ramirez, and Cristina Villalobos

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Combining assumptions and graphical network into gene expression data analysis, Demba Fofana, E. O. George, and Dale Brown

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Instructor Communication, or Academic Coaching, to Facilitate Student Engagement, Tracia M. Forman and Kristina Vatcheva