A selection of faculty publications from the Department of Mathematics and Statistics, College of Sciences, Old Dominion University.

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Submissions from 2017

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Simulation Study on JLEIC High Energy Bunched Electron Cooling, H. Zhang, Y. Roblin, Y. Zhang, Ya. Derbenev, S. Benson, R. Li, J. Chen, H. Huang, and L. Luo

Submissions from 2016

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Evaluation of Ray-Path Integrals in Geometrical Optics, John A. Adam and Michael Pohrivchak

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Global Strong Solutions of the Full Navier-Stokes and Q-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions, Cecilia Cavaterra, Elisabetta Rocca, Hao Wu, and Xiang Xu

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Impairment of Continuous Insulin Delivery Therapy and Analysis from Graeco-Latin Square Design Model, Norou Diawara, Ayodeji Demuren, and Eric Gyuricsko

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Sawtooth Profile in Smectic a Liquid Crystals, Carlos J. Garcia-Cervera, Tiziana Giorgi, and Sookyung Joo

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Exploring New Models for Seatbelt Use in Survey Data, Mark K. Ledbetter, Norou Diawara, and Bryan E. Porter

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The Martian Surface Radiation Environment- A Comparison of Models and MSL/RAD Measurements, Daniel Matthiä, Bent Ehresmann, Henning Lohf, Jan Köhler, Cary Zeitlin, Jan Appel, and John W. Wilson

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Development of the Electron Cooling Simulation Program for JLEIC, H. Zhang, J. Chen, R. Li, Y. Zhang, H. Huang, and L. Luo

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A Dynamic Model of the Choice of Technology in Economic Development, Haiwen Zhou and Ruhai Zhou

Submissions from 2015

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Performance of Dental Hygiene Students in Mass Fatality Training and Radiographic Imaging of Dental Remains, Tara L. Newcomb, Ann M. Bruhn, Loreta H. Ulmer, and Norou Diawara

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The Use of Immersive Visualization for the Control of Dental Anxiety During Oral Debridement, Carmelo Padrino-Barrios, Gayle B. McCombs, Norou Diawara, and Gianluca De Leo

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Liver Perilipin 5 Expression Worsens Hepatosteatosis But Not Insulin Resistance in High Fat-Fed Mice, Michelle B. Trevino, David Mazur-Hart, Yui Machida, Timothy King, Joseph Nadler, Elena V. Galkina, Arjun Poddar, Sucharita Dutta, and Yumi Imai

Submissions from 2014

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Mate Choice and the Evolutionary Stability of a Fixed Threshold in a Sequential Search Strategy, Raymond Cheng, Steven M. Seubert, and Daniel D. Wiegmann

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Lattice-Boltzmann Simulations of the Thermally Driven 2D Square Cavity at High Rayleigh Numbers, Dario Contrino, Pierre Lallemand, Pietro Asinari, and Li-Shi Luo

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Testing Longitudinal Data by Logarithmic Quantiles, Manfred Denker and Lucia Tabacu

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The Bivariate Erlang and Its Application in Modeling Recurrence Times of Kidney Dialysis Data, Norou Diawara, S.H. Sathish Indika, Melva Grant, and Edgard M. Maboudou-Tchao

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Rheological Signatures in Limit Cycle Behaviour of Dilute, Active, Polar Liquid Crystalline Polymers in Steady Shear, M. Gregory Forest, Panon Phuworawong, Qi Wang, and Ruhai Zhou

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Length Effects of a Built-in Flapping Flat Plate on the Flow Over a Traveling Wavy Foil, Nansheng Liu, Yan Peng, and Xiyun Lu

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Scalar Wave Scattering By Two-Layer Radial Inhomogeneities, Umaporn Nuntaplook and John Adam

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Modelling Cholera in Periodic Environments, Drew Posny and Jin Wang

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A Bivariate Distribution with Conditional Gamma and its Multivariate Form, Sumen Sen, Rajan Lamichhane, and Norou Diawara

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Network-Based Assessments of Percolation-Induced Current Distributions in Sheared Rod Macromolecular Dispersions, Feng Shi, Simi Wang, M. Gregory Forest, Peter J. Mucha, and Ruhai Zhou

Submissions from 2013

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Duality of the Weak Parallelogram Laws on Banach Spaces, Raymond Cheng and Charles B. Harris

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Mesoscopic Methods in Engineering and Science, Jos Derksen, Dmitry Eskin, Li-Shi Luo, and Manfred Krafczyk

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NEXT-Peak: A Normal-Exponential Two-Peak Model for Peak-Calling in ChIP-seq Data, Nak-Kyeong Kim, Rasika V. Jayatillake, and John L. Spouge

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Evaluation of a Novel Rapid Diagnostic Test for Schistosoma haematobium Based on the Detection of Human Immunoglobulins Bound to Filtered Schistosoma haematobium Eggs, Johnathan M. Sheele, Jimmy H. Kihara, Sarah Baddorf, Jonathan Byrne, and Bhaskara Ravi

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Lattice Boltzmann Simulations of Thermal Convective Flows in Two Dimensions, Jia Wang, Donghai Wang, Pierre Lallemand, and Li-Shi Luo

Submissions from 2012

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A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing, by Benjamin Wardhaugh. Princeton University Press: Princeton, 2012 (Book Review), John A. Adam

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Alternatives to Mixture Model Analysis of Correlated Binomial Data, N. Rao Chaganty, Roy Sabo, and Yihao Deng

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On the Global Stability of a Generalized Cholera Epidemiological Model, Yuanji Cheng, Jin Wang, and Xiuxiang Yang

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Protein Folding by 'Levels of Separation': A Hypothesis, Lesley H. Greene and Terri M. Grant

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Numerical Methods for Fluid-Structure Interaction - A Review, Gene Hou, Jin Wang, and Anita Layton

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Wavelet Collocation Method and Multilevel Augmentation Method for Hammerstein Equations, Hideaki Kaneko, Khomsan Neamprem, and Boriboon Novaprateep

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Probability of Identification: A Statistical Model for the Validation of Qualitative Botanical Identification Methods, Robert A. LaBudde and James M. Harnly

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Flow Over a Traveling Wavy Foil With a Passively Flapping Flat Plate, Nansheng Liu, Yan Peng, Youwen Liang, and Xiyun Lu

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A Generalized Cholera Model and Epidemic-Endemic Analysis, Jin Wang and Shu Liao

Submissions from 2011

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Putting the X in Biology: A Review of the Mathematics of Life, John Adam

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Analysis of Biological Features Associated with Meiotic Recombination Hot and Cold Spots in Saccharomyces cerevisiae, Loren Hansen, Nak-Kyeong Kim, Leonardo Mariño-Ramírez, and David Landsman

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Uniform l1 Behavior of a Time Discretization Method for a Volterra Integrodifferential Equation With Convex Kernel; Stability, Charles B. Harris and Richard D. Noren

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Stability Analysis and Application of a Mathematical Cholera Model, Shu Liao and Jim Wang

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Numerics of the Lattice Boltzmann Method: Effects of Collision Models on the Lattice Boltzmann Simulations, Li-Shi Luo, Wei Liao, Xingwang Chen, Yan Peng, and Wei Zhang

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Estimating the Reproductive Numbers for the 2008-2009 Cholera Outbreaks in Zimbabwe, Zindoga Mukandavire, Shu Liao, Jin Wang, Holly Gaff, David L. Smith, and J. Glenn Morris Jr.

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Acceleration Techniques by Post-processing of Numerical Solutions of the Hammerstein Equation, Khomsan Neamprem and Hideaki Kaneko

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Weighted Scores Method for Regression Models with Dependent Data, Aristidis K. Nikoloulopoulos, Harry Joe, and N. Rao Chaganty

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On Weighted Distributions and Mean Advantage Over Inferiors Functions, Broderick O. Oluyede and Norou Diawara

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Use of SARIMA Models to Assess Data-Poor Fisheries: A Case Study With A Sciaenid Fishery Off Portugal, Nuno Prista, Norou Diawara, Maria J. Costa, and Cynthia M. Jones

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Mesoscopic Methods in Engineering and Science, Chuguang Zheng, Jiding Lu, Zhaoli Guo, Li-Shi Luo, and Manfred Krafczyk

Submissions from 2010

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Probability Models for Blackjack Poker, Charlie H. Cooke

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The Joint Distribution of Bivariate Exponential Under Linearly Related Model, Norou Diawara and Kumer Pial Das

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Mesoscopic Methods in Engineering and Science, Alfons Hoekstra, Li-Shi Luo, and Manfred Krafczyk

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Effects of Multitemperature Nonequilibrium on Compressible Homogeneous Turbulence, Wei Liao, Yan Peng, and Li-Shi Luo

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Linear Dependency for the Difference in Exponential Regression, Indika Sathish and Norou Diawara

Submissions from 2009

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A Two-Population Insurgency in Colombia: Quasi-Predator-Prey Models - A Trend Towards Simplicity, John A. Adam, John A. Sokolowski, and Catherine M. Banks

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Gas-Kinetic Schemes for Direct Numerical Simulations of Compressible Homogeneous Turbulence, Wei Liao, Yan Peng, and Li-Shi Luo

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Multiple Imputation to Correct for Measurement Error in Admixture Estimates in Genetic Structured Association Testing, Miguel A. Padilla, Jamin Divers, Laura K. Vaughan, David B. Allison, and Hemant K. Tiwari

Submissions from 2008

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Professor Gopal Kanji's Retirement as Editor of Journal of Applied Statistics, M. C. Agrawal, Steven B. Caudill, S. Chakraborti, Norman Draper, Ian Dryden, Joe Gani, Steven G. Gilmour, Z. Govindarajulu, David J. Hand, and Dayanand Naik

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Lipschitz Continuity of the Best Approximation Operator in Vector-Valued Chebyshev Approximation, Martin Bartelt and John Swetits

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Dedication to Pierre Lallemand on the Occasion of His Retirement, Dominque d'Humieres, Manfred Krafczyk, Li-Shi Luo, and Robert Rubinstein

Submissions from 2007

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Lipschitz Continuity and Gateaux Differentiability of the Best Approximation Operator in Vector-Valued Chebyshev Approximation, Martin Bartelt and John Swetits

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Microscopic-Macroscopic Simulations of Rigid-Rod Polymer Hydrodynamics: Heterogeneity and Rheochaos, M. Gregory Forest, Ruhai Zhou, and Qi Wang

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Factors Affecting Website Reconstruction From the Web Infrastructure, Frank McCown, Norou Diawara, and Michael L. Nelson

Submissions from 2006

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A System Equivalence Related to Dulac's Extension of Bendixson's Negative Theorem for Planar Dynamical Systems, Charlie H. Cooke

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On the Existence of Strong Solutions to Autonomous Differential Equations with Minimal Regularity, Charlie H. Cooke

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Monodomain Dynamics for Rigid Rod and Platelet Suspensions in Strongly Coupled Coplanar Linear Flow and Magnetic Fields. II. Kinetic theory, M. Gregory Forest, Sarthok Sircar, Qi Wang, and Ruhai Zhou

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A Simplified Model for Growth Factor Induced Healing of Wounds, F. J. Vermolen, E. van Baaren, and J. A. Adam

Submissions from 2005

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Flowers of Ice- Beauty, Symmetry, and Complexity: A Review of The Snowflake: Winter's Secret Beauty, John A. Adam

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Bounds on Element Order in Rings Z(m) With Divisors of Zero, C. H. Cooke

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Kinetic Structure Simulations of Nematic Polymers in Plane Couette Cells. II: In-plane structure transitions, M. Gregory Forest, Ruhai Zhou, and Qi Wang

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A Comparison of Esomeprazole and Lansoprazole for Control of Intragastric pH in Patients With Symptoms of Gastro-Oesophageal Reflux Disease, D. A. Johnson, T. Stacy, M. Ryan, T. Wootton, J. Willia, K. Hornbuckle, W. Brooks, and M. Doviak

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Symptoms of Gastro-Oesophageal Reflux Disease and the Severity of Obstructive Sleep Apnoea Syndrome Are Not Related in Sleep Disorders Center Patients, H.-N. Kim, R. D. Vorona, M. P. Winn, M. Doviak, D. A. Johnson, and J. Catesby Ware

Submissions from 2004

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Astronaut EVA Exposure Estimates from CAD Model Spacesuit Geometry, Giovanni De Angelis, Brooke M. Anderson, William Atwell, John E. Nealy, Gary D. Qualls, and John W. Wilson

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Wishartness and Independence of Matrix Quadratic Forms for Kronecker Product Covariance Structures, Akhil K. Vaish and N. Rao Chaganty

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Computational Protein Biomarker Prediction: A Case Study for Prostate Cancer, Michael Wagner, Dayanand N. Naik, Alex Pothen, Srinivas Kasukurti, Raghu Ram Devineni, Bao-Ling Adam, O. John Semmes, and George L. Wright Jr.

Submissions from 2003

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Protocols for Disease Classification from Mass Spectrometry Data, Michael Wagner, Dayanand Naik, and Alex Pothen

Submissions from 2002

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Healing Times for Circular Wounds on Plane and Spherical Bone Surfaces, J. A. Adam

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The Effect of Surface Curvature on Wound Healing in Bone, J. A. Adam

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Like a Bridge Over Colored Water: A Mathematical Review of The Rainbow Bridge: Rainbows in Art, Myth, and Science, John A. Adam

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Lunar Lava Tube Radiation Safety Analysis, Giovanni De Angelis, J. W. Wilson, M. S. Clowdsley, J. E. Nealy, D. H. Humes, and J. M. Clem

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Implementation of Gy-Eq for Deterministic Effects Limitation in Shield Design, John W. Wilson, Myung-Hee Y. Kim, Giovanni De Angelis, Francis A. Cucinotta, Nobuaki Yoshizawa, and Francis F. Badavi

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Advances in Space Radiation Shielding Codes, John W. Wilson, Ram K. Tripathi, Garry D. Qualls, Francis A. Cucinotta, Richard E. Prael, John W. Norbury, John H. Heinbockel, John Tweed, and Giovanni De Angelis

Submissions from 2001

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The Range of the Iterated Matrix Adjoint Operator, Tze-Jang Chen, Jenn-Tsann Lin, and C. H. Cooke

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Slope Control in Western Boundary Currents, Sang-Ki Lee, J. L. Pelegri, and John Kroll

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Nested Balanced Incomplete Block Designs, J. P. Morgan, D. A. Preece, and D. H. Rees

Submissions from 1999

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A Simplified Model of Wound Healing (With Particular Reference to the Critical Size Defect), J. A. Adam

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A Simplified Model of Wound Healing - II: The Critical Size Defect in Two Dimensions, J. S. Arnold and John A. Adam

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Polynomial Construction of Complex Hadamard Matrices with Cyclic Core, C. H. Cooke and I. Heng

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Algorithms for the Numerical Solution of a Finite-Part Integral Equation, J. Tweed, R. St. John, and M. H. Dunn

Submissions from 1998

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(A Note on)(2) the Shape of the Erythrocyte, J. A. Adam

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Characterization of Generalized Haar Spaces, M. Bartelt and W. Li

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The Adjoint Alternative for Matrix Operators, C. H. Cooke

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Steady Incompressible Magnetohydrodynamic Flow Near a Point of Reattachment, J. M. Dorrepaal and S. Moosavizadeh

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Uniform Lipschitz Continuity of Best l(p)-approximations by Polyhedral Sets, Martina Finzel and Wu Li

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Error Correcting Codes Associated with Complex Hadamard Matrices, I. Heng and C. H. Cooke

Submissions from 1997

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Corrigendum to “Post-Surgical Passive Response of Local Environment to Primary Tumor Removal”: Mathl. Comput. Modelling, vol. 25, no. 6, pp. 7–17, 1997, J. A. Adam and C. Bellomo

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Post-Surgical Passive Response of Local Environment to Primary Tumor Removal, J. A. Adam and C. Bellomo

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Scattering from Stellar Acoustic-Gravity Potentials: II. Phase Shifts via the First Born Approximation, J. A. Adam and I. McKaig

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Limiting Spheroid Size as a Function of Growth Factor Source Location, J. A. Adam and K. Y. Ward

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Hoffman’s Error Bounds and Uniform Lipschitz Continuity of Best l(p) -Approximations, H. Berens, M. Finzel, W. Li, and Y. Xu

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An Invariance Property of Common Statistical Tests, N. Rao Chaganty and A. K. Vaish

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The Hadamard Matroid and an Anomaly in Its Single Element Extensions, C. H. Cooke