Mathematics and Statistics Faculty and Staff Publications

Mathematics and Statistics Faculty and Staff Publications

 
The research interests of the Department of Mathematics and Statistics encompass core areas of analysis, computational mathematics, geometry and topology, mathematical biology, mathematical physics, nonlinear systems, and probability and statistics. The Department of Mathematics & Statistics has been granted an NSF-MCTP award from May 2012 - April 2016, with support for activities at the undergraduate, graduate, and postdoctoral level.

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Articles

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Caustics and virtual cathodes in electron beams, Evangelos A. Coutsias

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Effects of thermal spread on the space charge limit of an electron beam, Evangelos A. Coutsias

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Delay-induced destabilization of entrainment of nerve impulses on ephaptically coupled nerve fibers, Evangelos A. Coutsias, Mohit H. Adhikari, and John K. McIver

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Dynamical properties of forced shear layers in an annular geometry, Evangelos A. Coutsias, Keith Bergeron, J.P. Lynov, and A.H. Nielsen

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Algorithmic dimensionality reduction for molecular structure analysis, Evangelos A. Coutsias, W. Michael Brown, Shawn Martin, Sara N. Pollock, and Jean-Paul Watson

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A reduced-order partial differential equation model for dynamics of the flow in athermosyphon, Evangelos A. Coutsias, Elisabeth A. Burroughs, and L. Romero

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AN EFFICIENT SPECTRAL METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS WITH RATIONAL FUNCTION COEFFICIENTS, Evangelos A. Coutsias, THOMAS HAGSTROM, and DAVID TORRES

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Long-time behavior of Ginzburg-Landau systems far from equilibrium, Evangelos A. Coutsias and B. A. Huberman

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The Approximate Functional Formula for the Theta Function and Diophantine Gauss Sums, Evangelos A. Coutsias and N.D. Kazarinoff

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The FALC-Loop web server for protein loop modeling, Evangelos A. Coutsias, Juns Ko, Dongseon Lee, Hahnbeom Park, Julian Lee, and Chaok Seok

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Topology of cyclo-octane energy landscape, Evangelos A. Coutsias, Shawn Martin, Aidan Thompson, and Jean-Paul Watson

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Acoustic-wave nonlinearity in stimulated Brillouin scattering, Evangelos A. Coutsias and Bruce S. Masson

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Non relativistic Kapitza-Dirac scattering, Evangelos A. Coutsias and J.K. McIver

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Invertibility of current density from near-field electromagnetic data, Evangelos A. Coutsias and Daniel Sheltraw

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Space charge limit instabilities in electron beams, Evangelos A. Coutsias and D.J. Sullivan

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PSEUDOSPECTRAL SOLUTION OF THE TWO-DIMENSIONAL NAVIER{STOKES EQUATIONS IN A DISK, Evangelos A. Coutsias and David J. Torres

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An introduction to Dezert-Smarandache Theory (DSmT), Jean Dezert and Florentin Smarandache

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Optimized preparation of quantum states by conditional measurements, G. Harel, G. Kurizki, Evangelos A. Coutsias, and J. K. McIver

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Estimating norms of commutators, Terry A. Loring and Freddy Vides

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A New Form of Matter — Unmatter, Composed of Particles and Anti-Particles, Florentin Smarandache

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Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set, Florentin Smarandache

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= Florentin’s Lexicon = Experimental paradoxist Linguistics, Florentin Smarandache

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Introducing a Theory of Neutrosophic Evolution: Degrees of Evolution, Indeterminacy, and Involution, Florentin Smarandache

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NeutroAlgebra is a Generalization of Partial Algebra, Florentin Smarandache

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Neutrosophic Diagram and Classes of Neutrosophic Paradoxes or to the Outer-Limits of Science, Florentin Smarandache

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Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set, q-Rung Orthopair Fuzzy Set, Spherical Fuzzy Set, and n-HyperSpherical Fuzzy Set, while Neutrosophication is a Generalization of Regret Theory, Grey System Theory, and Three-Ways Decision (revisited), Florentin Smarandache

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Neutrosophy, A New Branch of Philosophy, Florentin Smarandache

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n-Valued Refined Neutrosophic Logic and Its Applications to Physics, Florentin Smarandache

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Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes, Florentin Smarandache

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Superluminal Physics and Instantaneous Physics as New Trends in Research, Florentin Smarandache

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There Is No Speed Barrier in the Universe and One Can Construct any Speed, Florentin Smarandache

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Unmatter Plasma Discovered, Florentin Smarandache

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A Hybrid Plithogenic Decision-Making Approach with Quality Function Deployment for Selecting Supply Chain Sustainability Metrics, Florentin Smarandache, Mohamed Abdel-Basset, Rehab Mohamed, and Abd El-Nasser H. Zaied

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Some studies on algebraic integers in Q(i,√3) by using coset diagram, Florentin Smarandache, Saima Anis, Seok-Zun Song, and Young Bae Jun

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A Harmless Wireless Quantum Alternative to Cell Phones Based on Quantum Noise, Florentin Smarandache, Robert Neil Boyd, and Victor Christianto

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A Review of Major Role of Vitamin D3 in Human Immune System and its Possible Use for Novel Corona Virus Treatment, Florentin Smarandache and Victor Christianto

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A Review on how an Ancient Forgiveness Way Called Ho’oponopono Can Boost Human Health and Immune System, Florentin Smarandache and Victor Christianto

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How to Balance Intuitive and Analytical Functions of Brain: A Neutrosophic Way of Scientific Discovery Process, Florentin Smarandache, Victor Christianto, and Robert Neil Boyd

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Wireless Technologies (4G, 5G) Are Very Harmful to Human Health and Environment: A Preliminary Review, Florentin Smarandache, Victor Christianto, and Robert Neil Boyd

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Remark on Lehnert’s Revised Quantum Electrodynamics (RQED) as an Alternative to Francesco Celani’s et al. Maxwell-Clifford equations: With an Outline of Chiral Cosmology model and its role to CMNS, Florentin Smarandache, Victor Christianto, and Yunita Umniyati

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Towards Gross-Pitaevskiian Description of Solar System & Galaxies, Florentin Smarandache, Victor Christianto, and Yunita Umniyati

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Towards Realism Interpretation of Wave Mechanics based on Maxwell Equations in Quaternion Space and some implications, including Smarandache’s Hypothesis, Florentin Smarandache, Victor Christianto, and Yunita Umniyati

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METODE DE CALCUL ÎN ANALIZA MATEMATICĂ, Florentin Smarandache and C. Dumitrescu

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Unmatter Entities inside Nuclei, Predicted by the Brightsen Nucleon Cluster Model, Florentin Smarandache and Dmitri Rabounski

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CARDINAL FUNCTIONS AND INTEGRAL FUNCTIONS, Florentin Smarandache, Mircea SELARIU, and Marian NITU

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AN APPROACH TO DETERMINING CUSTOMER SATISFACTION IN TRADITIONAL SERBIAN RESTAURANTS, Florentin Smarandache, Dragisa Stanujkic, Darjan Karabasevic, Edmundas Kazimieras Zavadskas, and F. Cavallaro

Books

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Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps, W. B. Vasantha Kandasamy and Florentin Smarandache

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255 Compiled and Solved Problems in Geometry and Trigonometry, Florentin Smarandache

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Absolute Theory of Relativity & Parameterized Special Theory of Relativity & Noninertial Multirelativity, Florentin Smarandache

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Advances of Standard and Nonstandard Neutrosophic Theories, Florentin Smarandache