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The publications archived in this Georgia Southern Commons collection are produced by the faculty of the Department of Mathematical Sciences.
Faculty Research in Georgia Southern Commons
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Submissions from 2015
A Generalized Class of Kumaraswamy Lindley Distribution with Applications to Lifetime Data, Broderick O. Oluyede, Tiantian Yang, and Bernard Omolo
A New Class of Generalized Power Lindley Distribution with Applications to Lifetime Data, Marvis Pararai, Gayan Warahena-Liyanage, and Broderick O. Oluyede
Kumaraswamy Lindley-Poisson Distribution: Theory and Applications, Mavis Pararai, Broderick O. Oluyede, and Gayan Warahena-Liyanage
Extended Lindley Poisson Distribution, Mavis Pararai, Gayan Warahena-Liyanage, and Broderick O. Oluyede
Theoretical Properties of the Weighted Generalized Gamma Distribution and Related Distributions, Hewa A. Priyadarshani and Broderick O. Oluyede
The Minimal Number of Subtrees of a Tree, Andrew V. Sills and Hua Wang
Improved Complexity Analysis of Full Nesterov–Todd Step Feasible Interior-Point Method for Symmetric Optimization, G. Q. Wang, L. C. Kong, J. Y. Tao, and Goran Lesaja
Centroid, Leaf-Centroid, and Internal-Centroid, Hua Wang
Extremal Trees of the Eccentric Connectivity Index, Hua Wang
Colored Patterns and Their Packing Densities, Hua Wang and Matthew R. Just
Subtrees, BC-Subtrees of Generalized Bethe Trees and Related Questions, Hua Wang, Hongbo Liu, and Yu Yang
Colonel Blotto’s Combinatorial Decisions – A Resource Allocation Problem, Hua Wang and Toby Sanders
Arc Length Asymptotics for Multivariate Time Series, Tharanga D. Wickramarachchi, Colin Gallagher, and Robert Lund
Using Arc Length to Cluster Financial Time Series According to Risk, Tharanga D. Wickramarachchi and Ferebee Tunno
Labeling and Comparison of Isomeric Tree-Like Polyphenyl Systems, Tabitha Williford, Alex Collins, Shainaz Landge, and Hua Wang
Subtrees of Spiro and Polyphenyl Hexagonal Chains, Yu Yang, Hongbo Liu, Hua Wang, and Hongsun Fu
Enumeration of BC-Subtrees of trees, Yu Yang, Hongbo Liu, Hua Wang, and Scott Makeig
Existence of Solutions for a Variable Exponent System without PS Conditions, Li Yin, Yuan Liang, Qihu Zhang, and Chunshan Zhao
Ranking of Financial Ratios, Aimao Zhang and Scott N. Kersey
Existence of Strong Solutions of a P(X) -Laplacian Dirichlet Problem without the Ambrosetti-Rabinowitz Condition, Qihu Zhang and Chunshan Zhao
Restricted Sum Formula of Alternating Euler Sums, Jianqiang Zhao
New Families of Weighted Sum Formulas for Multiple Zeta Values, Yuan Zhao and Jianqiang Zhao
Maximum Entropy Regularized Group Collaborative Representation for Face Recognition, Zhong Zhao, Guocan Feng, Lifang Zhang, and Jiehua Zhu
Error Analysis of Reweighted l₁ Greedy Algorithm for Noisy Reconstruction, Jiehua Zhu, Xiezhang Li, Fangjun Arroyo, and Edward Arroyo
Error Analysis of Reweighted l1 Greedy Algorithm for Noisy Reconstruction, Jiehua Zhu, Xiezhang Li, Fangjun Arroyo, and Edward Arroyo
The Image of the Change: From the I Ching to the Evolution of Chaos, Yuting Zou
Submissions from 2014
The Convergence of Block Cyclic Projection with Underrelaxation Parameters for Compressed Sensing Based Tomography, Fangjun Arroyo, Edward Arroyo, Xiezhang Li, and Jiehua Zhu
Variations of Distance-Based Invariants of Trees, Marcus Bartlett, Elliot Krop, Colton Magnant, Fedelis Mutiso, and Hua Wang
Convergence of a Q-Learning Variant for Continuous States and Actions, Stephen W. Carden
Function Spaces and Contractive Extensions in Approach Theory: The Role of Regularity, Eva Colebunders, Frédéric D. Mynard, and William Trott
Boxes, Pans, and Cans: A Diohpantine Approach to Optimization, Vincent E. Coll Jr., Jeremy Davis, Martin Hall, Colton Magnant, James Stankewicz, and Hua Wang
Integer Solutions to Box Optimization Problems, Vincent E. Coll Jr., Jeremy Davis, Martin Hall, Colton Magnant, James Stankewicz, and Hua Wang
Dimensions of Fractals Generated by Bi-Lipschitz Maps, Qi-Rong Deng and Sze-Man Ngai
Structural Equation Modeling of Multivariate Gamma Density, Norou Diawara, Broderick O. Oluyede, and Robert A.R. King
Building a Better Bijection between Classes of Compositions, James D. Diffenderfer
Fejér and Suffridge Polynomials in the Delayed Feedback Control Theory, Dmitriy Dmitrishin, Anna Khamitova, Anatolii Korenovskyi, and Alexander M. Stokolos
Fejér Polynomials and Chaos, Dmitriy Dmitrishin, Anna Khamitova, and Alexander M. Stokolos
Cotorsion Pairs, Model Structures and Adjoints in Homotopy Categories, Edgar E. Enochs, Sergio Estrada, and Alina Iacob
Gorenstein Injective Projective and Flat (Pre)Covers, Edgar E. Enochs, Sergio Estrada, and Alina Iacob
Rainbow Generalizations of Ramsey Theory - A Dynamic Survey, Shinya Fujita, Colton Magnant, and Kenta Ozeki
Special Functions, Partial Differential Equations, and Harmonic Analysis: In Honor of Calixto P. Calderón, Constantine Georgakis, Alexander M. Stokolos, and Wilfredo Urbina
Multiply Chorded Cycles, Ronald Gould, Paul Horn, and Colton Magnant
Improved Upper Bounds for Gallai-Ramsey Numbers of Paths and Cycles, Martin Hall, Colton Magnant, Kenta Ozeki, and Masao Tsugaki
Note on Enomoto and Ota’s Conjecture for Short Paths in Large Graphs, Martin Hall, Colton Magnant, and Hua Wang
A Decomposition of Gallai Multigraphs, Alexander Halperin, Colton Magnant, and Kyle Pula
Note on Rainbow Connection in Oriented Graphs with Diameter 2, Rebecca Holliday, Colton Magnant, and Pouria Salehi Nowbandegani
Instructor's Guide with Full Solutions, Patricia B. Humphrey
Instructor's Guide with Full Solutions, Patricia B. Humphrey
Student Solutions Manual, Patricia B. Humphrey
Student Study Guide with Solutions Manual, Patricia B. Humphrey
Was Ist Eigentlich ein p-Wert?, Patricia B. Humphrey
Developing Consistency in the Terminology and Display of Bar Graphs and Histograms, Patricia B. Humphrey, Sharon E. Taylor, and Kathleen Cage Mittag
Discrete Fourier Restriction Associated with Schrödinger Equations, Yi Hu and Xiaochun Li
Gorenstein Injective Covers and Envelopes over Noetherian Rings, Alina Iacob and Edgar E. Enochs
Epistasis in Predator-Prey Relationships, Iuliia Inozemtseva and James P. Braselton
An Overview of Phase I Analysis for Process Improvement and Monitoring, Allison L. Jones-Farmer, William H. Woodall, Stefan H. Steiner, and Charles W. Champ
Boundary Theory on the Hata Tree, Ka-Sing Lau and Sze-Man Ngai
On the Boundary Blow-Up Solutions of p(x)-Laplacian Equations with Gradient Terms, Yuan Liang, Qihu Zhang, and Chunshan Zhao
Fast Inverse Distance Weighting-Based Spatiotemporal Interpolation: A Web-Based Application of Interpolating Daily Fine Particulate Matter PM2.5 in the Contiguous U.S. Using Parallel Programming and k-d Tree, Lixin Li, Travis Losser, Charles Yorke, and Reinhard E. Piltner
Odd Fibbinary Numbers and the Golden Ratio, Linus Lindroos, Andrew Sills, and Hua Wang
Existence of Positive Solutions for p(x)-Laplacian Equations with a Singular Nonlinear Term, Jingjing Liu, Qihu Zhang, and Chunshan Zhao
A Spatiotemporal Interpolation Method Using Radial Basis Functions for Geospatiotemporal Big Data, Travis Losser, Lixin Li, and Reinhard E. Piltner
Quantitative Reasoning Learning Progression: The Matrix, Robert L. Mayes, Jennifer H. Forrester, Jennifer D. Schuttlefield Christus, Franziska Peterson, and Rachel Walker
A Youtube Calculus Workbook (Part 2), Frédéric D. Mynard
Determinants of Incidence and Hessian Matrices Arising from the Vector Space Lattice, Saeed Nasseh, Alexandra Seceleanu, and Junzo Watanabe
Theoretical Properties of the Weighted Feller-Pareto Distributions, Oluseyi Odubote and Broderick O. Oluyede
A New Class of Generalized Dagum Distribution with Applications to Income and Lifetime Data, Broderick O. Oluyede, Shujiao Huang, and Mavis Pararai
Generalizations of the Inverse Weibull and Related Distributions with Applications, Broderick O. Oluyede and Tao Yang
Weighted Dagum and Related Distribution, Broderick O. Oluyede and Yuan Ye
A New Class of Generalized Inverse Weibull Distribution with Applications, Mavis Pararai, Gayan Warahena-Liyanage, and Broderick O. Oluyede
Weighted Inverse Weibull Distribution: Statistical Properties and Applications, Valeriia Sherina and Broderick O. Oluyede
Extremal Values of Ratios: Distance Problems vs. Subtree Problems in Trees II, Laszlo A. Szekely and Hua Wang
Synthetic Lethality as a Promising Approach for Targeted Cancer Prevention, Wei Tu, Hua Wang, and Guang Peng
Indistinguishable Trees and Graphs, Stephan G. Wagner and Hua Wang
Functions on Adjacent Vertex Degrees of Trees with Given Degree Sequence, Hua Wang
The Distances between Internal Vertices and Leaves of a Tree, Hua Wang
Generalization of Fibonacci Sequences: Combinatorial Identities and Tilings, Hua Wang and Joshua Klingel
Discretization of Fractional Order Differentiator over Paley-Wiener Space, Yan Wu
Multiscale Geometric Modeling of Macromolecules I: Cartesian Representation, Kelin Xia, Xin Feng, Zhan Chen, Yiying Tong, and Guo-Wei Wei
Localized Quantum States, Francois Ziegler
Symplectic Mackey Theory, Francois Ziegler
Submissions from 2013
Greedy Trees, Subtrees and Antichains, Eric Ould Dadah Andriantiana, Stephan G. Wagner, and Hua Wang
Numerical Studies of the Generalized l₁ Greedy Algorithm for Sparse Signals, Fangjun Arroyo, Edward Arroyo, Xiezhang Li, and Jiehua Zhu
On the Scientific Work of Konstantin Ilyich Oskolkov, Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, and Brett D. Wick
Comparing the Effects of Interactive and Noninteractive Complementary Nutrients on Growth in a Chemostat, James P. Braselton, Martha L. Abell, and Lorraine Braselton
Comparing the Effects of Interactive and Noninteractive Complementary Nutrients on Growth in a Chemostat, James P. Braselton, Martha L. Abell, and Lorraine Braselton
Rock-Paper-Scissors in the Chemostat, James P. Braselton, Martha L. Abell, and Lorraine Braselton
Rock-Paper-Scissors in the Chemostat, James P. Braselton, Martha L. Abell, and Lorraine Braselton
Energy Flux Streamlines versus Acoustic Rays for Modeling Interaction with Rigid Boundaries: Near Field of Sound from a Circular Loudspeaker, Cleon Dean and James P. Braselton
Recent Advances in Harmonic Analysis and Applications: In Honor of Konstantin Oskolkov, Laura De Carli, Dmitriy Bilyk, Alexander Petukhov, Alexander M. Stokolos, and Brett D. Wick
Separation Conditions for Iterated Function Systems with Overlaps, Qi-Rong Deng, Ka-Sing Lau, and Sze-Man Ngai
Modified Network Flow Algorithm in Modeling Financial Distribution, Nathan Dunn, Mary Elizabeth Edwards, Rui Sun, and Hua Wang
Teaching Online on a Budget, Michelle Everson, Patricia B. Humphrey, Dick Jardine, Dave Rausch, Sue Schou, and Gunnar Stefansson
Pancyclicity of 4-Connected {Claw, Generalized Bull}-Free Graphs, Michael Ferrara, Silke Gehrke, Ronald Gould, Colton Magnant, and Jeffrey Powell
Conditions for Families of Disjoint K-Connected Subgraphs in a Graph, Michael Ferrara, Colton Magnant, and Paul Wenger
Disconnected Colors in Generalized Gallai-Colorings, Shinya Fujita, András Gyárfás, Colton Magnant, and Ákos Seress
Forbidden Rainbow Subgraphs that Force Large Highly Connected Monochromatic Subgraphs, Shinya Fujita and Colton Magnant
Nonlinear Schrödinger Equations for Bose-Einstein Condensates, Luigi Galati and Shijun Zheng
Exponential Kleisli Monoids as Eilenberg-Moore Algebras, Dirk Hofmann, Frédéric Mynard, and Gavin J. Seal
Exponentiated Kumaraswamy-Dagum Distribution with Applications to Income and Lifetime Data, Shujiao Huang and Broderick O. Oluyede
