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The presentations archived in this Georgia Southern Commons collection are produced by the faculty of the Department of Mathematical Sciences.
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Submissions from 2015
A Formula for the Partition Function that "Counts", Andrew V. Sills and Yuriy Choliy
Fejer Polynomials and Non-Linear Dynamics, Alexander M. Stokolos
Vectorborne Diseases: a Generalized Scale Structured Network Stochastic Epidemic Dynamic Model, Divine Wanduku
A Small Branch Goes a Long Way: Subtrees and Distances, Hua Wang
Combinatorial Topics from a Distance Question, Hua Wang
Maximizing Distance in Trees, Hua Wang
Numbers and Patterns: Mathematics and Mathematical Sciences, Hua Wang
Optimization through Structural Information, Hua Wang
Parts and Subword Patterns in Integer Compositions, Hua Wang
Topological Indices of Trees, Hua Wang
Mathematical Model of Dynamic Protein Interactions Regulating Protein Stability of Tumor Suppressors, Hua Wang and Guang Peng
A New Approach to Measure the Risk of a Financial Time Series, Tharanga Wickramarachchi
Long Time Existence for Magnetic Nonlinear Schrödinger Equations, Shijun Zheng
Recent Progress on Global Regularity for Rotating BEC, Shijun Zheng
Symplectic Mackey Theory, François Ziegler
The Image of the Change: From the I Ching to the Evolution of Chaos, Yuting Zou
Submissions from 2014
Molecular Biosciences: Geometric Modeling in Biomolecular Systems, Jaydeep P. Bardhan and Zhan Chen
Tactile 3-D Demonstrations via Cube and Makerbot, James Braselton, Lila Roberts, and Jarrett Terry
Marginalized Transition Models and Reinforcement Learning, Stephen W. Carden
A Semiparametric Bayesian Approach to Destructive Weighted Poisson Cure Rate Model, Arpita Chatterjee and Narayanaswamy Balakrishnan
Multiscale Modeling and Computation of Biomolecular Solvation and Tumor Growth, Zhan Chen
Matrices and Graph Theory: Counting the Paths from A to B, William A. Coggins
Discrete Fourier Restriction Associated with Schrödinger Equations, Yi Hu and Xiaochun Li
Discrete Fourier Restriction Associated With Some Dispersive Equations on Torus, Yi Hu and Xiaochun Li
Gorenstein Injective Envelopes and Covers - Gorenstein Flat Preenvelopes, Alina Iacob
Tate-Betti and Tate-Bass Numbers, Alina Iacob, Edgar Enochs, Sergio Estrada, and Sinem Odabasi
Dual Bases Functions in Subspaces, Scott N. Kersey
Improved Full Newton-Step Infeasible Interior-Point Methods for LO and LCP, Goran Lesaja
Improved Full Newton-Step Infeasible Interior-Point Methods for Monotone Linear Complementarity Problems, Goran Lesaja
Interior-Point Methods for Linear Complementarity Problems, Goran Lesaja
A Spatiotemporal Interpolation Method Using Radial Basis Functions for Geospatiotemporal Big Data, Travis Losser, Lixin Li, and Reinhard E. Piltner
Eigenvalue Estimates of Laplacians Defined by Fractal Measures, Sze-Man Ngai
What Do Students Really Know Before Taking Calculus I?, Ha Nguyen and Joy W. Darley
Coordinate Algebra: From Patterns and Sequences to Functions, Ha Nguyen and S. Taylor
A Formula for the Partition Function that "Counts", Andrew V. Sills
A Formula for the Partition Function that "Counts", Andrew V. Sills
A Formula for the Partition Function that "Counts", Andrew V. Sills
Complex Analysis and Non-Linear Dynamics, Alexander M. Stokolos
Complex and Harmonic Analysis in Non-Linear Dynamics, Alexander M. Stokolos
Geometric Maximal Function in Harmonic Analysis, Alexander M. Stokolos
Connecting Lines and Dots: Applying Graph Theory, Hua Wang
Packing (Colored) Patterns in Permutations, Hua Wang
Questions and Applications in Chemical and Modern Graph Theory, Hua Wang
When Sparse Trees Are Dense and When Trees Are Indistinguishable, Hua Wang
Clustering Time Series in Terms of Volatility, Tharanga Wickramarachchi
Inference for Linear Regression with Autocorrelated Errors: Why Cochrane Orcutt Procedure Should Not Be Recommended, Tharanga Wickramarachchi
Measuring the Risk of Financial Time Series – A New Approach, Tharanga Wickramarachchi
Higher Level Generalizations of Multiple Zeta Values, Jianqiang Zhao
Smoothing Properties and Soliton Waves for Hamiltonian Systems, I: Schrödinger Equations with Magnetic Fields, Shijun Zheng
An Iterative Generalized l₁ Greedy Algorithm for CT Image Reconstruction, Jiehua Zhu
Iterative Algorithms for CT Image Reconstruction, Jiehua Zhu
Quantum Schubert Calculus I: The Classical Case, François Ziegler
Quantum States Localized on Lagrangian Submanifolds, François Ziegler
Submissions from 2013
Fitting a Piecewise Exponential Model for the Reliability of Repairable Systems Using Hierarchical Bayesian Approaches, Arpita Chatterjee
Physical Properties of Vanillin-tetraphenylporhyrin and Its Potential Applications in Photodynamic Therapy, William A. Coggins
Energy Flux Streamlines Versus Acoustic Rays for Modeling Interaction With Rigid Boundaries: Near Field of Sound From a Circular Loudspeaker, Cleon Dean and James Braselton
Gorenstein Injective Envelopes, Edgar Enochs and Alina Iacob
Effects of an Intensive New Faculty Workshop on Teaching, Delena Bell Gatch, Michelle Cawthorn, and Joy W. Darley
Effects on Teaching of an Intensive Summer New Faculty Workshop, Delena Bell Gatch, Michelle Cawthorn, and Joy W. Darley
Gorenstein Injective Covers and Envelopes, Alina Iacob
Gorenstein Injective Envelopes, Alina Iacob
Gorenstein Injective Envelopes and Covers, Alina Iacob
Gorenstein Injective Envelopes over Noetherian Rings, Alina Iacob
Dual Bases in Subspaces, Scott N. Kersey
Full NT-Step Feasible Interior-Point Methods for P*(κ)-Linear Complementarity Problems over Symmetric Cones, Goran Lesaja
Improved Full NT-Step Feasible Interior-Point Methods for P*(κ)-Linear Complementarity Problems over Symmetric Cones, Goran Lesaja
An Iterative Algorithm For Solving Underdetermined Linear Systems In Computed Tomography, Xiezhang Li
An Iterative Algorithm For Solving Underdetermined Linear Systems In Computed Tomography, Xiezhang Li
Iterative Algorithm for Medical Reconstruction in CT, Xiezhang Li
Laplace Operators Defined by Fractal Measures, Sze-Man Ngai
Are Word Problems “Problems” for Pre-Service K-8 Teachers?, Ha Nguyen, Joy W. Darley, and Sharon Taylor
Proximity of Weighted and Lindley Models with Estimation from Censored Samples, Broderick O. Oluyede and Mutiso Fedelis
Weighted Dagum-Weibull and Related Distributions with Applications to Lifetime Data, Broderick O. Oluyede and Benson Kimitei
Estimation of Weighted Generalized Beta Distribution of the Second Kind with Applications to United States Family Income Data, Broderick O. Oluyede, Yuan Ye, and Marvis Pararai
Constructing Harmonic and Biharmonic Functions for Plane Deformations in a Snake Segmentation Tool, Reinhard Piltner and Lixin Li
Solving AP Calculus Problems: A Hands-on Session, Marshall Ransom
Review of AP Calculus Exam Grading, Marshall R. Ransom
What Works for Me with STEM Students, Marshall R. Ransom
Rademacher's Infinite Partial Fractions Conjecture Is (Almost Certainly) False, Andrew V. Sills and Doron Zeilberger
Fourier Analysis and Nonlinear Dynamics, Alexander M. Stokolos
Harmonic Analysis and Nonlinear Dynamics, Alexander M. Stokolos
On Maximal Operators Associated to Bases of Some Convex Sets, Alexander M. Stokolos
The Power and Weakness of Trigonometric Sums, Alexander M. Stokolos
Analytic Graph Theory: Questions on Densities and Characterization, Hua Wang
Characterizing/Distinguishing Trees through Density, Hua Wang
Colonel Blotto’s Winning Ways, Hua Wang
Counting Ways and Ways of Counting, Hua Wang
Densities and Characterization of Graphs, Hua Wang
Density, Construction, Indistinguishable Graphs and Trees, Hua Wang
Distances vs. Substructures: "Ratio Test", Hua Wang
Enumeration and Construction: Dense, Sparse, and Indistinguishable Graphs, Hua Wang
Extremal Values of Ratios: Distances vs. Number of Subtrees in Trees, Hua Wang
Mathematical Model of Dynamic Protein Interactions Regulating Protein Stability in Tumor Suppression, Hua Wang
Seaweed Algebra and Meanders, Hua Wang
Theories and Applications of Graphs, Hua Wang
Winding Up and Down in Meanders, Hua Wang, Vincent Coll, and Colton Magnant
Inference for Linear Regression with Autocorrelation, Tharanga Wickramarachchi
On Nonlinear Schrödinger Equations with Magnetic Fields, Shijun Zheng
The Inner Beauty of Randomness, Shijun Zheng
A Generalized l₁ Greedy Algorithm for Image Reconstruction in Computed Tomography, Jiehua Zhu
