The publications archived in this Digital Commons@Georgia Southern collection are produced by the faculty of the Department of Mathematical Sciences.

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Submissions from 2020

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Half Logistic Odd Weibull-Topp-Leone-G Family of Distributions: Model, Properties and Applications, Fastel Chipepa, Divine Wanduku, and Broderick O. Oluyede

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Inferring Grandiose Narcissism From Text: LIWC Versus Machine Learning, Andrew D. Cutler, Stephen W. Carden, Hannah L. Dorough, and Nicholas S. Holtzman

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A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications, Broderick O. Oluyede, Hameed Abiodun Jimoh, Divine Wanduku, and Boikanyo Makubate

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The Exponentiated Generalized Power Series Class of Distributions: Theory, Properties and Applications, Broderick O. Oluyede, Baitshephi Mashabe, Adeniyi F. Fagbamigbe, Boikanyo Makubate, and Divine Wanduku

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A nonlinear multi-population behavioral model to assess the roles of education campaigns, random supply of aids, and delayed ART treatment in HIV/AIDS epidemics, Divine Wanduku

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Lyapunov Functionals and Stochastic Stability Analyses for Highly Random Nonlinear Functional Epidemic Dynamical Systems with Multiple Distributed Delays, Divine Wanduku

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Modeling Highly Random Dynamical Infectious Systems, Divine Wanduku

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On the almost sure, and pth moment exponential convergence and stochastic exponential stabilities for nonlinear stochastic epidemic models, Divine Wanduku

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On the almost sure convergence of a stochastic process in a class of nonlinear multi-population behavioral models for HIV/AIDS with delayed ART treatment, Divine Wanduku

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The stationary distribution and stochastic persistence for a class of disease models: Case study- malaria, Divine Wanduku

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Modeling the Stochastic Dynamics of Influenza Epidemics with Vaccination Control, and the Maximum Likelihood Estimation of Model Parameters, Divine Wanduku, Charles C. Newman, Omotomilola Onaopemipo Jegede, and Broderick O. Oluyede

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Some asymptotic properties of SEIRS models withnonlinear incidence and random delays, Divine Wanduku and Broderick O. Oluyede

Submissions from 2019

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Cronbach’s Alpha Under Insufficient Effort Responding: An Analytic Approach, Stephen W. Carden, Trevor R. Camper, and Nicholas S. Holtzman

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Exploration Using Without-Replacement Sampling of Actions Is Sometimes Inferior, Stephen W. Carden and S. Dalton Walker

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The Formation of Thickveins (Tkv) Gradient in Drosophila Wing Disc: A Theoretical Study, Zhan Chen

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AP Patterning in the Drosophila Wing Disc I: A Basic Model, Zhan Chen and Yuting Zou

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Preparing Pre-Service Teachers to Present at a State Conference, Heidi Eisenreich

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The Gamma Logistic Erlang Truncated Exponential Distribution with Applications, Hameed Jimoh, Broderick O. Oluyede, Divine Wanduku, and Boikanyo Makubate

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Mathematical Modeling Opportunities Reported by Secondary Mathematics Preservice Teachers and Instructors, Hyunyi Jung, Eryn M. Stehr, and Jia He

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Physical and Virtual Manipulation Framework Conceptions of Undergraduate Pre-Service Teachers, Enrique Ortiz, Heidi A. Eisenreich, and Laura Tapp

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Definitions and Meaning for Future Teachers in Spatial Measurement: Length, Area, and Volume, Eryn M. Stehr and Jia He

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“Big Ideas” in Secondary Mathematics Education Programs, Eryn M. Stehr, Hyunyi Jung, and Jill Newton

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Supporting Prospective Teachers’ Development of Relevant and Authentic Mathematics Stories, Eryn M. Stehr and Lindsay M. Keazer

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The Stochastic Extinction and Stability Conditions for Nonlinear Malaria Epidemics, Divine Wanduku

Submissions from 2018

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On Almost Everywhere Divergence of Bochner-Riesz Means on Compact Lie Groups, Xianghong Chen and Dashan Fan

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A Multiscale Model for Heterogeneous Tumor Spheroid in Vitro, Zhan Chen and Yuting Zou

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Topological Properties of a Class of Self-Affine Tiles in R3, Guotai Deng, Chuntai Liu, and Sze-Man Ngai

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Deepening Place Value Understanding in K-2 Through Explanation and Justification, Andria Disney and Heidi Eisenreich

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Using School Choice to Connect to Mathematics Learning in a Statistics and Probability Course for K-8 Pre-service Teachers, Ha Nguyen and Heidi Eisenreich

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Fractions as Operators: Not Forgotten, Ha Nguyen, Heidi Eisenreich, Eryn M. Stehr, and Tuyin An

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Using Google Forms to Inform Teaching Practices, Ha Nguyen, Eryn M. Stehr, Heidi Eisenreich, and Tuyin An

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On Quantiles Estimation Based on Different Stratified Sampling With Optimal Allocation, Hani Samawi, Arpita Chatterjee, Jingjing Yin, and Haresh Rochani

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Developing Consistent Meanings for Mathematical Connections, Exploration, and Reasoning, Eryn M. Stehr

Essential Aspects of Mathematics as a Practice in Research and Undergraduate Instruction, Eryn M. Stehr and T. An

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Selecting, Sequencing, and Connecting: Using Technology to Support Area Measurement Through Tasks, Strategies, and Discussion, Eryn M. Stehr, Jia He, and Ha Nguyen

Messy Lessons: Using Technology and Productive Discussion for Length Measurement, Eryn M. Stehr and Ha Nguyen

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Threshold Conditions for a Family of Epidemic Dynamic Models for Malaria with Distributed Delays in a Non-Random Environment, Divine Wanduku

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Deepening K-8 Pre Service Teachers' Understanding of Mathematics and Mathematical Feedback, James C. Willingham, Heidi Eisenreich, Casey Hawthorne, and William W. Deleeuw

Submissions from 2017

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CAHOST: An Excel Workbook for Facilitating the Johnson-Neyman Technique for Two-Way Interactions in Multiple Regression, Stephen W. Carden, Nicholas S. Holtzman, and Michael J. Strube

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CAHOST Facilitating the Johnson-Neyman Technique for Two-Way Interactions in Multiple Regression, Stephen W. Carden, Nicholas Holtzman, and Michael Strube

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Small-sample Reinforcement Learning: Improved Policies Using Synthetic Data, Stephen W. Carden and James Livsey

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Proper Distance in Edge-Colored Hypercubes, Eddie Cheng, Colton Magnant, and Dhruv Medarametla

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A Zariski-Local Notion of F-Total Acyclicity for Complexes of Sheaves, Lars Winther Christensen, Sergio Estrada, and Alina Iacob

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Symplectic Meanders, Vincent E. Coll Jr., Matthew Hyatt, and Colton Magnant

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Differentiability of Lq-Spectrum and Multifractal Decomposition by Using Infinite Graph-Directed IFSs, Guotai Deng and Sze-Man Ngai

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An Exploratory Study on the Influence of Video Clips on Pre Service Teachers' Learning of Fractions, Heidi Eisenreich and Andria Disney

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Fractions: Not Always a Two-Way Street, Heidi Eisenreich, Ha Nguyen, and Joy Darley

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Totally Acyclic Complexes, Sergio Estrada, Xianhui Fu, and Alina Iacob

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Gorenstein Injective Sheaves, Sergio Estrada and Alina Iacob

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Gorenstein Projective Precovers, Sergio Estrada, Alina Iacob, and Katelyn A. Coggins

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Gorenstein Flat and Projective (Pre)Covers, Sergio Estrada, Alina Iacob, and Sinem Odabasi

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Non-Inferiority Test Based on Transformations for Non-Normal Distributions, Santu Ghosh, Arpita Chatterjee, and Samiran Ghosh

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Placing Specified Vertices at Precise Locations on a Hamiltonian Cycle, Ronald Gould, Colton Magnant, and Pouria Salehi Nowbandegani

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Nature of Mathematical Modeling Tasks for Secondary Mathematics Preservice Teachers, Jia He, Eryn M. Stehr, and Hyunyi Jung

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Parts and Subword Patterns in Compositions, Brian Hopkins, Mark Shattuck, Andrew V. Sills, Thotsaporn Thanatipanonda, and Hua Wang

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On Two Conjectures About the Proper Connection Number of Graphs, Fei Huang, Xueliang Li, Zhongmei Qin, Colton Magnant, and Kenta Ozeki

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Gorenstein Injective Envelopes and Covers Over Two Sided Noetherian Rings, Alina Iacob

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Conceptions of Modeling Reported by Instructors in Teacher Preparation Programs, Hyunyi Jung, Eryn M. Stehr, and Jia He

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Ghost Series and a Motivated Proof of the Andrews–Bressoud Identities, Shashank Kanade, James Lepowsky, Matthew C. Russell, and Andrew Sills

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Forbidden Properly Edge-Colored Subgraphs that Force Large Highly Connected Monochromatic Subgraphs, Robert Katic, Colton Magnant, and Pouria Salehi Nowbandegani

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Hodge Theory on Transversely Symplectic Foliations, Yi Lin

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Construction of a Full Row-Rank Matrix System for Multiple Scanning Directions in Computed Tomography, Xiezhang Li, James D. Diffenderfer, and Jiehua Zhu

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Co-Characterization of Symplectic and Contact Embeddings and Lagrangian Rigidity, Stefan Müller

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Geometric Aspects of Representation Theory for DG Algebras: Answering a Question of Vasconcelos, Saeed Nasseh and Sean Sather-Wagstaff

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Vanishing of Ext and Tor Over Fiber Products, Saeed Nasseh and Sean Sather-Wagstaff

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Structure of Irreducible Homomorphisms to/from Free Modules, Saeed Nasseh and Ryo Takahashi

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On Gorenstein Fiber Products and Applications, Saeed Nasseh, Ryo Takahashi, and Keller VandeBogert

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The Gamma-Generalized Inverse Weibull Distribution with Applications to Pricing and Lifetime Data, Broderick O. Oluyede, Boikanyo Makubate, Divine Wanduku, Ibrahim Elbatal, and Valeriia Sherina

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On Kernel Density Estimation Based on Different Stratified Sampling With Optimal Allocation, Hani M. Samawi, Arpita Chatterjee, Jingjing Yin, and Haresh Rochani

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More Efficient Logistic Analysis Using Moving Extreme Ranked Set Sampling, Hani M. Samawi, Haresh Rochani, Daniel F. Linder, and Arpita Chatterjee

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Complete Global Analysis of a Two-Scale Network SIRS Epidemic Dynamic Model with Distributed Delay and Random Perturbations, Divine Wanduku

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Global Analysis of a Stochastic Two-Scale Network Human Epidemic Dynamic Model with Varying Immunity Period, Divine Wanduku and G. S. Ladde

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On Algorithms for Enumerating Subtrees of Hexagonal and Phenylene Chains, Yu Yang, Hongbo Liu, Hua Wang, Ansheng Deng, and Colton Magnant

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Multiple Solutions With Constant Sign of a Dirichlet Problem for a Class of Elliptic Systems With Variable Exponent Growth, Li Yin, Jinghua Yao, Qihu Zhang, and Chunshan Zhao

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On Stratified Bivariate Ranked Set Sampling with Optimal Allocation for Naïve and Ratio Estimators, Lili Yu, Hani M. Samawi, Daniel Linder, Arpita Chatterjee, Yisong Huang, and Robert L. Vogel

Submissions from 2016

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Maximum Wiener Index of Trees With Given Segment Sequence, Eric Ould Dadah Andriantiana, Stephan G. Wagner, and Hua Wang

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Applying Linear Controls to Chaotic Continuous Dynamical Systems, James P. Braselton and Yan Wu

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Stabilizing the Lorenz Flows Using a Closed Loop Quotient Controller, James P. Braselton and Yan Wu

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Minimization and Eulerian Formulation of Differential Geometry Based Nonpolar Multiscale Solvation Models, Zhan Chen

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Note on Semi-Linkage with Almost Prescribed Lengths in Large Graphs, Emily C. Chizmar, Colton Magnant, and Pouria Salehi Nowbandegani

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Note on Vertex and Total Proper Connection Numbers, Emily C. Chizmar, Colton Magnant, and Pouria Salehi Nowbandegani

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A Formula for the Partition Function That "Counts", Yuriy Choliy and Andrew V. Sills

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Graph Linkedness With Prescribed Lengths, Vincent E. Coll Jr., Alexander Halperin, and Colton Magnant

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Dimensions of the Boundary of a Graph-Directed Self-Similar Set With Overlaps, Guotai Deng, Chuntai Liu, and Sze-Man Ngai

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Example of an Order 16 Non Symplectic Action on a K3 Surface, Jimmy J. Dillies

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Fast Cycles Detecting in Non-Linear Discrete Systems, Dmitriy Dmitrishin, Elena Franzheva, and Alexander M. Stokolos

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From Chaos to Order Through Mixing, Dmitriy Dmitrishin, I. M. Skrinnik, and Alexander M. Stokolos

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Mathematics Knowledge for Parenting (MKP): Workshops to Help Parents Make Sense of Mathematics, Heidi Eisenreich

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Parent Workshops Focused on Mathematics Knowledge for Parenting (MKP): Shifting Beliefs About Learning Mathematics, Heidi Eisenreich and Janet Andreasen

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Gorenstein Projective Resolvents, Edgar E. Enochs, Sergio Estrada, Alina Iacob, and Sinem Odabasi

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Minimum Degree and Even Cycle Lengths, Ralph J. Faudree, Ronald Gould, Michael S. Jacobson, and Colton Magnant

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Note on Superpatterns, Daniel Gray and Hua Wang

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Pre-Service Teachers Acceptance of Number Concepts Instruction in Base 8, Katie Harshman and Heidi Eisenreich

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Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition, Alina Iacob

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A Dual Basis for Discrete Polynomial Blending, Scott N. Kersey