Mathematics Faculty Articles

 

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Submissions from 2015

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Investigating the Role of the Host Multidrug Resistance Associated Protein Transporter Family in Burkholderia cepacia Complex Pathogenicity Using a Caenorhabditis elegans Infection Model, Pietro Tedesco, Marco Visone, Ermenegilda Parrilli, Maria Luisa Tutino, Elena Perrin, Isabel Maida, Renato Fani, Francesco Ballestriero, Radleigh Santos, Clemencia Pinilla, Elia Di Schiavi, George Tegos, and Donatella de Pascale

Submissions from 2014

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TP_k Completion of Patterns with One Unspecified Entry, V. Akin, C. R. Johnson, and Shahla Nasserasr

A Normal Variation of the Horn Problem: The Rank 1 Case, Lei Cao and Hugo J. Woerdeman

Evaluation of Florida Physicians’ Knowledge and Attitudes Toward Accessing the State Prescription Drug Monitoring Program as a Prescribing Tool, Jennifer A. Gershman, Jason Gershman, Andrea D. Fass, and Ioana Popovici

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Identification of Tetrapeptides from a Mixture Based Positional Scanning Library That Can Restore nM Full Agonist Function of the L106P, I69T, I102S, A219V, C271Y, and C271R Human Melanocortin-4 Polymorphic Receptors (hMC4Rs), Erica M. Haslach, Huisuo Huang, Marvin Dirain, Ginamarie Debevec, Phaedra Geer, Radleigh Santos, Marc Giulianotti, Clemencia Pinilla, Jon R. Appel, Skye R. Doering, Michael A. Walters, Richard A. Houghten, and Carrie Haskell-Luevano

The Connection between Variational Equations and Solutions of Second Order Nonlocal Integral Boundary Value Problems, Alfredo F. Janson, Bibi T. Juman, and Jeffrey W. Lyons

On a Question of Pollák and Volkov Regarding Hereditarily Finitely Based Identities, Edmond W. H. Lee

On Certain Cross Varieties of Aperiodic Monoids with Commuting Idempotents, Edmond W. H. Lee

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The Smallest Monoid that Generates a Non-Cross Variety, Edmond W. H. Lee and Wen Ting Zhang

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Cytokine Production but Lack of Proliferation in Peripheral Blood Mononuclear Cells from Chronic Chagas' Disease Cardiomyopathy Patients in Response to T. cruzi Ribosomal P Proteins, Silvia A. Longhi, Augusto Atienza, Graciela Perez Prados, Alcinette Buying, Virginia Balouz, Carlos A. Buscaglia, Radleigh Santos, Laura M. Tasso, Ricardo Bonato, Pablo Chiale, Clemencia Pinilla, Valeria A. Judkowski, and Karina A. Gomez

Disconjugacy, Differences, and Differentiation for Solutions of Nonlocal Boundary Value Problems for nth Order Difference Equations, Jeffrey W. Lyons

On Differentiation of Solutions of Boundary Value Problems for Second Order Dynamic Equations on a Time Scale, Jeffrey W. Lyons

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Existence of a Positive Solution for a Right Focal Dynamic Boundary Value Problem, Jeffrey W. Lyons and Jeffrey T. Neugebauer

Complete Solution to the TP2 Completion Problem, Shahla Nasserasr and Charles R. Johnson

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Inequalities of Generalized Matrix Functions via Tensor Products, Vehbi Emrah Paksoy, Ramazan Turkmen, and Fuzhen Zhang

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Improvement of IFNg ELISPOT Performance Following Overnight Resting of Frozen PBMC Samples Confirmed Through Rigorous Statistical Analysis, Radleigh Santos, Alcinette Bunying, Nazila Sabri, John Yu, Anthony Gringeri, James Bender, Sylvia Janetzki, Clemencia Pinilla, and Valeria A. Judkowski

Submissions from 2013

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Minimum Number of Distinct Eigenvalues of Graphs, Bahman Ahmadi, Fatehmeh Alinaghipour, Michael S. Cavers, Shaun Fallat, Karen Meagher, and Shahla Nasserasr

Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting, Jing Chen, Jicai Huang, Shigui Ruan, and Jihua Wang

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On the Null Space Structure Associated with Trees and Cycles, Shaun M. Fallat and Shahla Nasserasr

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Identification of beryllium-dependent peptides recognized by CD4+ T cells in chronic beryllium disease, Michael T. Falta, Clemencia Pinilla, Douglas G. Mack, Alex N. Tinega, Francis Crawford, Marc Giulianotti, Radleigh Santos, Gina M. Clayton, Yuxiao Wang, Xuewu Zhang, Lisa A. Maier, Philippa Marrack, John W. Kappler, and Andrew P. Fontenot

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Complex Dynamics in Predator-prey Models with Nonmonotonic Functional Response and Seasonal Harvesting, Jicai Huang, Jing Chen, Yijun Gong, and Weipeng Zhang

Multiple Bifurcations in a Predator-Prey System of Holling and Lesile Type with Constant-Yield Prey Harvesting, Jicai Huang, Yijun Gong, and Jing Chen

Almost Cross Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee

Finite Basis Problem for Semigroups of Order Five or Less: Generalization and Revisitation, Edmond W. H. Lee

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Finite Basis Problem for the Direct Product of Some J-Trivial Monoid with Groups of Finite Exponent, Edmond W. H. Lee

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Finitely Based Monoids Obtained From Non-Finitely Based Semigroups, Edmond W. H. Lee

Rapid Scanning Structure–Activity Relationships in Combinatorial Data Sets: Identification of Activity Switches, Jose L. Medina-Franco, Bruce S. Edwards, Clemencia Pinilla, Jon R. Appel, Marc Giulianotti, Radleigh Santos, Austin B. Yongye, Larry A. Sklar, and Richard A. Houghten

Selective Agonists and Antagonists of Formylpeptide Receptors: Duplex Flow Cytometry and Mixture-based Positional Scanning Libraries, Clemencia Pinilla, Bruce S. Edwards, Jon R. Appel, Tina Yates-Gibbins, Marc Giulianotti, Jose L. Medina-Franco, Susan M. Young, Radleigh Santos, Larry A. Sklar, and Richard A. Houghten

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The Mathematics of a Successful Deconvolution: A Quantitative Assessment of Mixture-Based Combinatorial Libraries Screened Against Two Formylpeptide Receptors, Radleigh Santos, Jon R. Appel, Marc Giulianotti, Bruce S. Edwards, Larry A. Sklar, Richard A. Houghten, and Clemencia Pinilla

Conditional Probabilistic Analysis for Prediction of the Activity Landscape and Relative Compound Activities, Radleigh Santos, Marc Giulianotti, Richard A. Houghten, and Jose L. Medina-Franco

Scaffold Ranking and Positional Scanning Utilized in the Discovery of nAChR-Selective Compounds Suitable for Optimization Studies, Jinhua Wu, Yaohong Zhang, Laura E. Maida, Radleigh Santos, Greg Welmaker, Travis LaVoi, Adel Nefzi, Yongping Yu, Richard A. Houghten, Lawrence Toll, and Marc Giulianotti

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An Analytic Approach To a Permanent Conjecture, Fuzhen Zhang

Integral Majorization Polytopes, Fuzhen Zhang and Geir Dahl

Chaos Analysis and Control for a Class of SIR Epidemic Model with Seasonal Fluctuation, Yi Zhang, Qingling L. Zhang, Fuzhen Zhang, and Fenglan Bai

Submissions from 2012

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The Minimum Rank of Universal Adjacency Matrices, B. Ahmadi, F. Alinaghipour, Shaun M. Fallat, Yi-Zheng Fan, K. Meagher, and Shahla Nasserasr

Various Disconnectivities of Spaces and Projectabilities of L-Groups, Ricardo Enrique Carrera

A Novel Method for the Determination of Isokinetic Ratios and Its Application in the Synthesis of Two New Positional Scanning Libraries, Marc Giulianotti, Ginamarie Debevac, Radleigh Santos, Laura E. Maida, Wenteng Chen, Lili Ou, Yongping Yu, Colette T. Dooley, and Richard A. Houghten

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Totally Positive Shapes and TPk-completable Patterns, D. Hoff, C. R. Johnson, and Shahla Nasserasr

A Generalization of the Complex Autonne-Takagi Factorization To Quaternion Matrices, Roger A. Horn and Fuzhen Zhang

A Sufficient Condition for the Non-Finite Basis Property of Semigroups, Edmond W. H. Lee

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Maximal Specht Varieties of Monoids, Edmond W. H. Lee

Varieties Generated by 2-testable Monoids, Edmond W. H. Lee

Minimal Non-finitely Based Semigroups, Edmond W. H. Lee, Jian Rong Li, and Wen Ting Zhang

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Co-Adventurers in Discovery: Collaborative Research Between Undergraduate Students and Faculty, Rajeswari Murugan and Evan Haskell

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Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation, Iuliana Stanculescu, R. Ingram, N Mays, and C. C. Manica

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Some Inequalities of Majorization Type, Ramazan Turkman, Vehbi Emrah Paksoy, and Fuzhen Zhang

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Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics) by Albert W. Marshall, Ingram Olkin and Barry C. Arnold, 2nd edition, Springer (2011) xxvii+909 pp, Hardback, ISBN 978-0-387-40087-7; e-ISBN 978-0-387-68276-1, Fuzhen Zhang

Positivity of Matrices with Generalized Matrix Functions, Fuzhen Zhang

Submissions from 2011

Existence of a Positive Solution for a Right Focal Discrete Boundary Value Problem, D. R. Anderson, R. I. Avery, J. Henderson, X. Liu, and Jeffrey W. Lyons

Functorial Polar Functions, Ricardo Enrique Carrera

On Hull Classes of l-groups and Covering Classes of Spaces, Ricardo Enrique Carrera and Anthony W. Hager

On the Eigenvalues of Quaternion Matrices, F. O. Farid, Qing-Wen Wang, and Fuzhen Zhang

The Regular Topology on C(X), Wolf Iberkleid, Ramiro Lafuente-Rodriguez, and Warren William McGovern

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Conrad Frames, Wolf Iberkleid, Jorge Martinez, and Warren William McGovern

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GM-CSF Production Allows the Identification of Immunoprevalent Antigens Recognized by Human CD4+ T Cells Following Smallpox Vaccination, Valeria A. Judkowski, Alcinette Bunying, Feng Ge, Jon R. Appel, Kingyee Law, Atima Sharma, Claudia Raja-Gabaglia, Patricia Norori, Radleigh Santos, Marc Giulianotti, Mark K. Slifka, Daniel C. Douek, Barney S. Graham, and Clemencia Pinilla

Cross Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee

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Finite Basis Problem for 2-Testable Monoids, Edmond W. H. Lee

Minimal Non-finitely Based Monoids, Edmond W. H. Lee and Jian Rong Li

Limit Varieties Generated by Completely 0-Simple Semigroups, Edmond W. H. Lee and Mikhail V. Volkov

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Differentiation of Solutions of Nonlocal Boundary Value Problems with Respect to Boundary Data, Jeffrey W. Lyons

Characterization of a comprehensive flavor database, Karina Martinez-Mayorga, Terry L. Peppard, Austin B. Yongye, Radleigh Santos, Marc Giulianotti, and Jose L. Medina-Franco

Use and Implications of the Harmonic Mean Model on Mixtures for Basic Research and Drug Discovery, Radleigh Santos, Marc Giulianotti, Colette T. Dooley, Clemencia Pinilla, Jon R. Appel, and Richard A. Houghten

Theory of the NS-omega Model, Iuliana Stanculescu, William Layton, and Catalin Trenchea

On the Unitary Diagonalisation of a Special Class of Quaternion Matrices, Clive Cheong Took, Danilo P. Mandic, and Fuzhen Zhang

Contractive Matrices of Hua Type, Guanghui Xu, Changqing Xu, and Fuzhen Zhang

Consensus Models of Activity Landscapes with Multiple Chemical, Conformer, and Property Representations, Austin B. Yongye, Kendall Byler, Radleigh Santos, Karina Martinez-Mayorga, Gerald M. Maggiora, and Jose L. Medina-Franco

Submissions from 2010

Small Semigroups Generating Varieties with Continuum Many Subvarieties, Charles C. Edmunds, Edmond W. H. Lee, and Ken W.K. Lee

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Right Focal Boundary Value Problems for Difference Equations, Johnny Henderson, Xueyan Liu, Jeffrey W. Lyons, and Jeffrey T. Neugebauer

A Natural Equivalence for the Category of Coherent Frames, Wolf Iberkleid and Warren William McGovern

TP2=Bruhat, Charles R. Johnson and Shahla Nasserasr

Combinatorial Rees–Sushkevich Varieties That Are Cross, Finitely Generated, Or Small, Edmond W. H. Lee

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On a Semigroup Variety of György Pollák, Edmond W. H. Lee

Criteria and Schur Complements of H-matrices, Jianzhou Liu and Fuzhen Zhang

Structure–activity relationships of benzimidazole derivatives as antiparasitic agents: Dual activity-difference (DAD) maps, Jaime Perez-Villanueva, Radleigh Santos, Alicia Hernandez-Campos, Marc Giulianotti, Rafael Castillo, and Jose L. Medina-Franco

Towards a systematic characterization of the antiprotozoal activity landscape of benzimidazole derivatives, Jaime Perez-Villanueva, Radleigh Santos, Alicia Hernandez-Campos, Marc Giulianotti, Rafael Castillo, and Jose L. Medina-Franco

Numerical Analysis of Leray-Tikhonov Deconvolution Models of Fluid Motion, Iuliana Stanculescu and Carolina C. Manica

Robustness Analysis of Descriptor Systems with Parameter Uncertainties, Chunyu Yang, Qingling Zhang, Fuzhen Zhang, and Zheng Zhou

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Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefininte matrices, Fuzhen Zhang and Roger A. Horn

Submissions from 2009

A Generalization of the Jaffard-Ohm-Kaplansky Theorem, Wolf Iberkleid and Warren William McGovern

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Classes of Commutative Clean Rings, Wolf Iberkleid and Warren William McGovern

Finitely Generated Limit Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee

Hereditarily Finitely Based Monoids of Extensive Transformations, Edmond W. H. Lee

Lyndon's Groupoid Generates a Small Almost Cross Variety, Edmond W. H. Lee

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Characterization of Partial Derivatives with Respect to Boundary Conditions for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations, Jeffrey W. Lyons and Johnny Henderson

Boundary Data Smoothness for Solutions of Nonlocal Boundary Value Problems for Second Order Difference Equations, Jeffrey W. Lyons, E. Kim, B. Hopkins, and K. Speer

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Chebyshev Optimized Approximate Deconvolution Models of Turbulence, Iuliana Stanculescu and William Layton

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Revisiting Hua-Marcus-Bellman-Ando Inequalities on Contractive Matrices, Changqing Xu, Zhaodi Xu, and Fuzhen Zhang

Submissions from 2008

The Tensor Product of Frames, Abdelkrim Bourouihiya

Dual-Mixed Approximation Method for a Three-Field Model of a Nonlinear Generalized Stokes Problem, Vincent J. Ervin, Jason S. Howell, and Iuliana Stanculescu

On Taylor’s Formula for the Resolvent of a Complex Matrix, Matthew He and Paolo E. Ricci

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Boundary Data Smoothness for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations, Johnny Henderson, Britney Hopkins, Eugenie Kim, and Jeffrey W. Lyons

Some Conditions Related to the Exactness of Rees–Sushkevich Varieties, S. I. Kublanovsky, Edmond W. H. Lee, and Norman R. Reilly

Combinatorial Rees–Sushkevich Varieties Are Finitely Based, Edmond W. H. Lee

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On the Variety Generated by Some Monoid of Order Five, Edmond W. H. Lee

Centrality in Rees–Sushkevich Varieties, Edmond W. H. Lee and Norman R. Reilly

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Primitive Digraphs with Smallest Large Exponent, G. MacGillivray, Shahla Nasserasr, D. D. Olesky, and P. Van Den Driessche

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An Operator Equality Involving a Continuous Field of Operators and Its Norm Inequalities, Mohammad Sal Moslehian and Fuzhen Zhang

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Hua's Matrix Equality and Schur Complements, Chris Paige, George P. H. Styan, Bo-Ying Wang, and Fuzhen Zhang

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Mirror Principle for Flag Manifolds, Vehbi Emrah Paksoy

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Existence Theory of Abstract Approximate Deconvolution Models of Turbulence, Iuliana Stanculescu