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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 2000
Derivation of Integral Equations Useful in the Performance Evaluation of Various Control Charts, Charles W. Champ, Steven E. Rigdon, and Kenneth Adam Scharnagl
Visualization of the Energy Flow in and Around a Fluid Loaded Elastic Sphere, Cleon Dean and James P. Braselton
Comparison between the Convergence Rates of the Chebyshev Method and the Related (2,2)-Step Methods, Xiezhang Li
Linear Prediction for Bandpass Signals Based On Nonuniform Past Samples, Dale H. Mugler, Yan Wu, and S. Clary
On Some Length Biased Inequalities for Reliability Measures, Broderick O. Oluyede
Stochastic Inequalities for Availability and Reliability Measures, Broderick O. Oluyede
Submissions from 1999
Visualization of Symmetric and Antisymmetric Lamb Waves Via the Elastodynamic Poynting Vector, James P. Braselton and Cleon Dean
Randomly Walking Through Wall Street, James P. Braselton, John Rafter, Patricia B. Humphrey, and Martha L. Abell
Poynting vector fields in a perpendicularly ensonified fluid loaded elastic cylinder, Cleon Dean and James P. Braselton
Interior-Point Methods and Modern Optimization Codes, Goran Lesaja
Submissions from 1998
A Georgia Initiative: Calculus, The TI-92, Distance Learning and Support via The Internet, Sharon Barrs and Cindy Gonzalez
Poisson EWMA Control Charts, Connie M. Borror, Charles W. Champ, and Steven E. Rigdon
Monitoring Variability Using the Run Sum Chart, Charles W. Champ and Steve E. Rigdon
Visualization of a surface wave in an elastic medium via the complex Poynting vector, Cleon Dean and James P. Braselton
Visualization of the energy flux in an ensonified fluid-loaded elastic sphere, Cleon Dean and James P. Braselton
Random Vector Clustering Using Fuzzy C-Means, Richard J. Hathaway, G. Wesley Rogers, and James C. Bezdek
An Adaptive Chebyshev SIM Based on Perturbation Theory, Xiezhang Li
Two Non-Parametric Models for Fusing Heterogeneous Fuzzy Data, Witold Pedrycz, James C. Bezdek, Richard J. Hathaway, and G. Wesley Rogers
Submissions from 1997
Equivalence Between Different Formulations of the Linear Complementarity Problem, Mihai Anitescu, Goran Lesaja, and Florian A. Potra
A New Geometric Interpretation of the Elastodynamic Poynting Vector, James P. Braselton and Cleon E. Dean
An Analysis of the Run Sum Control Chart, Charles W. Champ and Steven E. Rigdon
Signal Probabilities of Runs Rules Supplementing a Shewhart Control Chart, Charles W. Champ and William H. Woodall
Fusing Heterogeneous Fuzzy Data for Clustering, Richard J. Hathaway, G. Wesley Rogers, James C. Bezdek, and Witold Pedrycz
An Infeasible-Interior-Point Predictor-Corrector Algorithm for the P*-Geometric LCP, Goran Lesaja, Mihai Anitescu, and Florian A. Potra
A Uniform Error Bound for the Overrelaxation Methods, Xiezhang Li
Assessment of Multivariate Process Control Techniques, Robert L. Mason, Charles W. Champ, Nola D. Tracy, Siebrand J. Wierda, and John C. Young
Probability Limits for Shewhart Phase I X-Charts, P. B. Newton and Charles W. Champ
An Analysis of the Run Sum X Chart When No Standards Are Given, H. S. Ross, Charles W. Champ, and Steven E. Rigdon
Submissions from 1996
Advancing the Study of Differential Equations with Technology, Martha L. Abell and James P. Braselton
Application of Multivariate Phase I Control Charts to Unreplicated Multivariate 2m Factorial and Fractional Factorial Designs, Charles W. Champ and H. T. Fuller
Submissions from 1995
Modernizing Differential Equations, James P. Braselton and Martha L. Abell
Analysis of the Shewhart S-Chart with Runs Rules When No Standards Are Given, T. E. Burroughs, Steven E. Rigdon, and Charles W. Champ
Some Closed Form Expressions for the Sine and Cosine, Charles W. Champ and L. F. Lynde
A Comparison of Two Phase One Control Charts, Shou-Peng Chou and Charles W. Champ
Evaluating the Run Length Distribution of a Generalized Control Charting Procedure Using a Markov Chain Approach, P. J. Falbe and Charles W. Champ
The Convergence Rate of the Chebyshev SIM Under a Perturbation of a Complex Line-Segment Spectrum, Xiezhang Li
The Performance of Control Charts for Monitoring Process Variation, Cynthia A. Lowry, Charles W. Champ, and William H. Woodall
The Linear Discriminant Analysis Technique and an Application to Market Assessment, J. L. Radley and Charles W. Champ
Submissions from 1994
Study of Average Run Length for Supplementary Runs Rules in the Presents Autocorrelation, Layth C. Alwan, Charles W. Champ, and Hazem D. Maragah
A CUSUM Quality Control Chart Under 100% Sampling, Charles W. Champ, D. K. Blatterman, and Steven E. Rigdon
Adjusting the S-Chart for Detecting Both Increases and Decreases in the Standard Deviation, Charles W. Champ and Cynthia A. Lowry
Design Strategies for Individual and Moving Range Control Charts, Steve E. Rigdon, Emma N. Cruthis, and Charles W. Champ
Submissions from 1993
An Analysis of Shewhart Quality Control Charts to Monitor Both the Mean and Variability, Keith Jacob Barrs and Charles W. Champ
Topics in Applied Mathematics with Mathematica, James P. Braselton, Martha L. Abell, and John W. Davenport
Implementing Calculus as Formal Laboratory Courses using Mathematica, James P. Braselton, John W. Davenport, and Arthur G. Sparks
Technology in the Mathematics Curriculum at Georgia Southern University, James P. Braselton, John W. Davenport, and Arthur G. Sparks
An Analysis of Shewhart Charts with Runs Rules When No Standards Are Given, T. E. Burroughs, Steven E. Rigdon, and Charles W. Champ
Subsets of Rn Which Become Dense in any Compact Group, Francois Ziegler
Submissions from 1992
Giving Meaning to the Circular Membrane Problem with Mathematica, Martha L. Abell and James P. Braselton
A Shewhart Control Chart Under 100% Inspection for Markov Dependent Attribute Data, D. K. Blatterman and Charles W. Champ
An Exponentially Weighted Moving Average Control Chart for Poisson Data, Connie M. Borror, Steven E. Rigdon, and Charles W. Champ
Steady-State Run Length Analysis of a Shewhart Quality Control Chart With Supplementary Runs Rules, Charles W. Champ
Shewhart Quality Control Charts with Supplementary Runs Rules When No Standards Are Given, Charles W. Champ and T. E. Burroughs
Monitoring an Autocorrelated Process, C. A. Krieger, Charles W. Champ, and Layth C. Alwan
An Adaptive Method for Solving Nonsymmetric Linear Systems Involving Applications of SCPACK, Xiezhang Li
A Multivariate Exponentially Weighted Moving Average Control Chart, Cynthia A. Lowry, William H. Woodall, Charles W. Champ, and Steven E. Rigdon
On the Kostant convexity theorem, Francois Ziegler
Submissions from 1991
Integrating a Computer Algebra System into a Calculus Sequence: Differential and Integral Calculus, James P. Braselton
Mathematica: Beyond Calculus, James P. Braselton and Martha L. Abell
Integrating Technology into the Mathematics Curriculum, James P. Braselton, Arthur G. Sparks, and John W. Davenport
Submissions from 1990
A Note on the SOR and USSOR Iterative Methods Applied to P-Cylic Matrices, Xiezhang Li and Richard Varga
