Mathematical Research Summaries (with Biographical Sketches). Volume 1

Matthew A. Rowe (Editor)

Series: Mathematical Research Summaries
BISAC: MAT000000

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This new book provides research summaries from a number of different focuses in Mathematics, and compiles biographical sketches of top professionals in this important field. (Imprint: Nova)

Preface

Part I. Researcher Biographical Sketches

Chapter 1. Imre Ferenc Barna

Chapter 2. Rosamonde R. Cook

Chapter 3. Rudolf Eggers

Chapter 4. Snezhana Georgieva Gocheva-Ilieva

Chapter 5. James M. Honeycutt

Chapter 6. Iliycho Petkov Iliev

Chapter 7. Atanas Valev Ivanov

Chapter 8. Noelia Jiménez-Fanjul

Chapter 9. Carmen León-Mantero

Chapter 10. María José Madrid

Chapter 11. Alexander Maz-Machado

Chapter 12. Florian Meyer

Chapter 13. Ali Asghar Rastegari

Chapter 14. Marko Stamenic

Chapter 15. Yuriy S. Volkov

Chapter 16. Desislava Stoyanova Voynikova

Chapter 17. Irena Zizovic

Part II. Research Summaries

Chapter 18. Justification of the Courant-Friedrichs Conjecture for the Problem About Flow Around Wedge
(Alexander M. Blokhin and Dimitry L. Tkachev and Evgenia V. Mishchenko, PhD)

Chapter 19. Particle Swarm Optimization with Re-Initialization Strategies for Continuous Global Optimization
(D. D. Kennedy, H. Zhang, G. P. Rangaiah and A. Bonilla-Petriciolet)

Chapter 20. Particle Swarm Global Optimization of Orbital Maneuvers
(Mauro Pontani)

Chapter 21. Float-Encoded Genetic Algorithm Used for the Inversion Processing of Well-Logging Data
(Norbert P. Szabó and Mihály Dobróka)

Chapter 22. The Particle Collision Algorithm: A Metropolis Optimization Method
(Wagner F. Sacco anderson Alvarenga de Moura Meneses, Ana Carolina Rios-Coelho and Nélio Henderson)

Chapter 23. Classifier-Assisted Frameworks for Computationally Expensive Optimization Problems
(Yoel Tenne)

Chapter 24. Cutting Box Strategy: An Algorithmic Framework for Improving Metaheuristics for Continuous Global Optimization
(Wendel Melo, Marcia Fampa and Fernanda Raupp)

Chapter 25. RLS Wiener Smoother from Randomly Delayed Observations in Linear Discrete-Time Systems
(Seiichi Nakamori)

Chapter 26. A Non-Standard Practical Variational Approach via Fractional Calculus to the Optimal Control of Fractional Stochastic Systems Driven by White Noises
(Guy Jumarie)

Chapter 27. Representation of the Shoe-Last Bottom Based on Computer Algorithms and Laser Metrology
(J. Apolinar Muñoz-Rodríguez)

Chapter 28. Role of Metrology on Current Food Safety Issues in China
(Can Quan, Ting Huang and Hongmei Li)

Chapter 29. Symmetric Random Vectors for which the Joint Quantum Operators Span a Lie Algebra
(Aurel I. Stan)

Chapter 30. Pseudo Regularity in Commutative Banach Algebras
(J. C. Prajapati)

Chapter 31. Dynamics of Viscous Barotropic Fluid on a Rotating Sphere
(Yuri N. Skiba)

Chapter 32. An Efficient Numerical Method for the Solution of Nonlinear Diffusion Equations on a Sphere
(Yuri N. Skiba and Denis M. Filatov)

Chapter 33. A Mathematical Modeling Approach to the Slug Flow Problem in Oil Production
(Airam Sausen, Paulo Sérgio Sausen, Maurício de Campos and Leandro Kreuzberger)

Chapter 34. Native Statistics for Natural Sciences
(Nabil Semmar)

Chapter 35. Deterministic and Random Evolution
(Jens Lorenz)

Chapter 36. Foundations of Iso-Differential Calculus. Volume 1
(Svetlin Georgiev)

Chapter 37. Introduction to Geometry and Relativity
(David C. Mello)

Chapter 38. An Overview on Theories and Methods of Self-organization
(WenJun Zhang)

Chapter 39. An Ant Colony Optimization-Based Approach of Feature Selection for Efficient Classification of Very Small Datasets by Mining Patterns
(N. K. Sreeja and A. Sankar)

Chapter 40. Self-organization and Task Allocation: An Application to Ant Algorithms
(Jose B. Escario, Juan F. Jimenez and Jose M. Giron-Sierra)

Chapter 41. The Generalized Particle Swarm Optimization Algorithm with Application Examples
(Željko S. Kanović, Milan R. Rapaić, Zoran D. Jeličić, Milan J. Rackov, Mirna N. Kapetina and Jelena T. Atanacković-Jeličić)

Chapter 42. Weights And Structure Determination of Artificial Neuronets
(Yunong Zhang, Xiaotian Yu, Lin Xiao, Weibing Li and Zhengping Fan)

Chapter 43. Low-Dimensional Structures Embedded in Human Locomotion: Data Analysis and Modeling
(Shinya Aoi)

Chapter 44. Self-organization in Motion of a Set of Living Individuals
(Milovan Živanović and Ivan Stojković)

Chapter 45. A Cellular Automata Method for Species Migration Process in a Heterogeneous Environment
(WenJun Zhang, YanHong Qi and ZhiGuo Zhang)

Chapter 46. Robust Self-Adaptive Kalman Filter with the R and Q Adaptations against Sensor/Actuator Failures
(Chingiz Hajiyev and Halil Ersin Soken)

Chapter 47. Regular Approximation of the Stochastic Pushdown Calculus
(Marco Carpentieri)

Chapter 48. Lyapunov Stability of Non-Autonomous Dynamical Systems
(David N. Cheban)

Chapter 49. Applications of Graph Theory in Architectural Analysis: Past, Present and Future Research
(Michael J. Dawes and Michael J. Ostwald)

Chapter 50. Miesian Intersections: Comparing and Evaluating Graph Theory Approaches to Architectural Spatial Analysis
(Michael J. Ostwald and Michael J. Dawes)

Chapter 51. The Algebraic Structure of Graphs
(Antonios Kalampakas and Vassilios Tsiantos)

Chapter 52. The Combination of Graph Theory and Unsupervised Learning Applied to Social Data Mining
(Héctor D. Menéndez and José Luis Llorente)

Chapter 53. About Organizing and Structuring the Contents of Mathematical Subjects Using Graph Theory
(Angélica Martínez-Zarzuelo, Eugenio Roanes-Lozano and María José Fernández-Díaz)

Chapter 54. A Modularity Based Filtering Approach for Network Immunization
(Tetsuya Yoshida and Yuu Yamada)

Chapter 55. Particle of Life: Mathematical Abstraction or Reality?
(Michail Zak)

Chapter 56. Local Fractional Derivatives
(N. C. Dias and J. N. Prata)

Chapter 57. Fractional Variational Embedding and Lagrangian Formulations of Dissipative Partial Differential Equations
(Jacky Cresson)

Chapter 58. A Class of Fractional Optimal Control Problems and Fractional Pontryagin's Systems. Variational Integrator and Existence of Continuous/Discrete Noether's Theorems
(Loïc Bourdin)

Chapter 59. Fractal Traps and Fractional Dynamics
(Pierre Inizan)

Chapter 60. Numerical Approximations to Fractional Problems of the Calculus of Variations and Optimal Control
(Shakoor Pooseh, Ricardo Almeida and Delfim F. M. Torres)

Chapter 61. Selected Topics of Invariant Measures in Polish Groups
(Gogi Pantsulaia)

Chapter 62. Foundations of Iso-Differential Calculus. Volume 2
(Svetlin Georgiev)

Chapter 63. Hypergraphs and Designs
(Mario Gionfriddo, Lorenzo Milazzo and Vitaly Voloshin)

Chapter 64. Analysis of the Caputo Derivative and Pseudo State Representation with the Infinite State Approach
(Jean-Claude Trigeassou, Nezha Maamri and Alain Oustaloup)

Chapter 65. Stability of a Class of Fractional Cauchy Problem
(Rabha W. Ibrahim)

Chapter 66. Numerical Solution of Fractional Order Differential Equations Via Matrix-Based Methods
(Matthew Harker and Paul O’Leary)

Chapter 67. On Analytical Methods for Differential Equations with Local Fractional Derivative Operators
(Xiao-Jun Yang, Dumitru Baleanu and J. A. Tenreiro Machado)

Chapter 68. Extended Borel Transform and Fractional Calculus
(Akira Asada)

Chapter 69. Introduction to Stability Theory of Linear Fractional Difference Equations
(Jan Čermák and Tomáš Kisela)

Chapter 70. Using The Hankel Operator to Initialize Fractional-Order Systems
(Jay L. Adams, Robert J. Veillette and Tom T. Hartley)

Chapter 71. Fractional Reaction-Transport Equations Arising From Evanescent Continuous Time Random Walks
(E. Abad, S. B. Yuste and K. Lindenberg)

Chapter 72. Exponential Integrators For Fractional Differential Equations
(Roberto Garrappa and Marina Popolizio)

Chapter 73. Non-Fragile Tuning of Fractional-Order PD Controllers for Integrating and Double Integrating Time-Delay Systems
(MirSaleh Bahavarnia and Mohammad Saleh Tavazoei)

Chapter 74. On Discrete, Finite-Dimensional Approximation of Linear, Infinite Dimensional Systems
(Milan R. Rapaić, Tomislav B. Šekara and Mihailo P. Lazarević)

Chapter 75. Advanced Fractional Differential and Integral Equations
(Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata)

Chapter 76. The Heuristic Power of the Non Integer Differential Operator in Physics: From Chaos to Emergence, Auto-Organisations and Holistic Rules
(Alain Le Méhauté)

Chapter 77. Dynamics of Fractional Order Chaotic System
(Sachin Bhalekar)

Chapter 78. Pressure Control of CNG Engines by Non-Integer Order Controllers: A New Trend in Application of Fractional Calculus to Automotive Systems
(Paolo Lino and Guido Maione)

Chapter 79. Linear Integer Order System Control by Fractional PI-State Feedback
(Rachid Mansouri, Maamar Bettayeb, Chahira Boussalem and Ubaid M. Al-Saggaf)

Chapter 80. From the Formal Concept Analysis to the Numerical Simulation of the Thermal Diffusion Phenomena in a Finite Medium
(Riad Assaf, Roy Abi Zeid Daou, Xavier Moreau and Fady Christophy)

Chapter 81. Temperature Control of a Diffusive Medium Using the CRONE Approach
(Fady Christophy, Xavier Moreau, Roy Abi Zeid Daou and Riad Assaf)

Chapter 82. Adaptive Second-Order Fractional Sliding Mode Control with Application to Water Tanks Level Control
(Danial Senejohnny, Mohammadreza Faieghi and Hadi Delavari)

Chapter 83. Features of Fractional Operators Involving Fractional Derivatives and Their Applications to the Problems of Mechanics of Solids
(Yury A. Rossikhin and Marina V. Shitikova)

Chapter 84. Theory of Diffusive Stresses Based on the Fractional Advection-Diffusion Equation
(Yuriy Povstenko)

Chapter 85. Modelling Drug Effect Using Fractional Calculus
(Clara M. Ionescu)

Chapter 86. Fuzzy Fractional PID Controllers: Analysis, Synthesis and Implementation
(Ramiro S. Barbosa and Isabel S. Jesus)

Chapter 87. Foundations of Iso-Differential Calculus. Volume 3: Ordinary Iso-Differential Equations
(Svetlin Georgiev)

Chapter 88. The Atomic Structure and Law
(Kunming Xu)

Chapter 89. Computing Algorithms For Solutions of Problems in Applied Mathematics and their Standard Program Realization. Part 1: Deterministic Mathematics and Part 2: Stochastic Mathematics
(K. J. Kachiashvili, D. YU. Melikdzhanian and A. I. Prangishvili)

Chapter 90. Foundations of Iso-Differential Calculus. Volume 4: Iso-Dynamic Equations
(Svetlin Georgiev)

Chapter 91. A Proposed Cloud Computing Business Framework
(Victor Chang)

Chapter 92. The Complexities of Math Skills Development
(Robert Perna and Ashlee R. Loughan)

Chapter 93. Construction of an NP Problem with an Exponential Lower Bound
(Roman V. Yampolskiy)

Chapter 94. Misconceptions and Misunderstandings (M&M) of Exploratory Factor Analysis: Some Clarifications
(Eddie T. C. Lam, PhD and Anita N. Lee, DPE)

Chapter 95. Exploratory Structural Equation Modeling: A New Trend of Factor Analysis
(Anita N. Lee, DPE and Eddie T. C. Lam, PhD)

Chapter 96. Quantum Information Measures and Molecular Phase Equilibria
(Roman F. Nalewajski)

Chapter 97. A Mathematical Model and Optimization of Rectangular Mufflers Hybridized with One-channel Splitters by SA Method
(Min-Chie Chiu)

Chapter 98. Worst-case Analysis versus Average-case Analysis for Combinatorial Optimization Problems
(Nodari Vakhania)

Chapter 99. Mathematical and Statistical Applied Methods: Studying the Relationship between Climatic Variables and Cotton Production
(Zakaria M. Sawan)

Chapter 100. Quantum Cryptography within Several Sequential Attacks in BB84 Protocol
(Mustapha Dehmani, Hamid Ez-Zahraouy and Abdelilah Benyoussef)

Chapter 101. Foundations of Iso-Differential Calculus. Volume 5: Iso-Stochastic Differential Equations
(Svetlin Georgiev)

Chapter 102. Computational Recipes of Linear and Non-Linear Singular Integral Equations and Relativistic Mechanics in Engineering and Applied Science. Volume I
(Evangelos G. Ladopoulos)

Chapter 103. Computational Recipes of Linear and Non-Linear Singular Integral Equations and Relativistic Mechanics in Engineering and Applied Science. Volume II
(Evangelos G. Ladopoulos)

Chapter 104. The Lax-Milgram Theorem and Some Applications to Partial Differential Equations
(Paul Bracken)

Chapter 105. Coupled PDEs and Control Systems Arising in Climate Dynamics: Ocean-Atmosphere Interactions and Tropical Instability Waves
(Aziz Belmiloudi)

Chapter 106. Integration of PDE with the Help of Analysis over Octonions and Cayley-Dickson Algebras
(Sergey V. Ludkovsky)

Chapter 107. Mixed Boundary-Value Problem for Divergent Hyperbolic PDE: Existence and Properties of Solutions, Applications in Sequential Optimal Control with Pointwise in Time State Constraints
(V. S. Gavrilov and M. I. Sumin)

Chapter 108. Using Mathematical Tessellation to Model Spherical Particle Packing Structures
(Larysa Burtseva and Frank Werner)

Chapter 109. Further Results on Fractional Calculus for Non-differentiable Functions Applications to Z-Transform and Generalized Functions
(Jumarie Guy)

Chapter 110. Low Earth Orbit Satellite Constellations for Local Telecommunication and Monitoring Services
(Mauro Pontani)

Chapter 111. Algorithm for Autonomously Calibrating Reference Flat of Interferometer and Residual Influence of Linear Shift with Two-Flat Method
(Ikumatsu Fujimoto)

Chapter 112. Dealing with Non-Significant Interactions Statuses between Treatments by a Suggested Statistical Approach
(Zakaria M. Sawan)

Chapter 113. Stochastic Simultaneous Perturbation As Powerful Method For State And Parameter Estimation In High Dimensional Systems
(Hong Son Hoang and Remy Baraille)

Chapter 114. Bounded Trajectories of Unstable Piecewise Linear Systems And Its Applications
(L. J. Ontañón–García and E. Campos–Cantón)

Chapter 115. Mathematical Modeling For Predicting Battery Lifetime Through Electrical Models
(Cleber M. D. Porciuncula, Airam Sausen and Paulo Sérgio Sausen)

Chapter 116. Mathematical Modeling of the Lithium-Ion Battery Lifetime Using System Identification Theory
(Leugim Corteze Romio, Airam Sausen, Paulo Sérgio Sausen and Manuel Reimbold)

Chapter 117. Nonlinear Evolution Equations and Soliton Solutions
(Yucui Guo and Anjan Biswas)

Chapter 118. The Determinants of Capital Structure Choice for Chinese Listed Companies Based on Structural Equation Modeling Approach
(Xin-Dan Li, Xiang-Nan Feng, Bin Lu and Xin-Yuan Song)

Chapter 119. An Examination of Predictors and Outcomes Related to School Climate Using Latent Class Analysis
(Christine DiStefano, Elizabeth Leighton, Mihaela Ene and Diane M. Monrad)

Chapter 120. Assessing Mediation in Simple and Complex Models
(Thomas Ledermann and Siegfried Macho)

Chapter 121. Symmetric Boolean Functions
(Peter M. Maurer)

Chapter 122. Boolean Functions: All-Optical Implementation Using Quantum-Dot Semiconductor Optical Amplifiers in Mach-Zehnder Interferometer
(K. E. Zoiros, E. Dimitriadou and T. Houbavlis)

Chapter 123. Selective Harvesting and Time Delay in a Predator-Prey Model with Infectious Preys
(A. Tchuinté Tamen, A. Laohombe, J. J. Tewa and S. Bowong)

Chapter 124. Analysis of an Age-Structured SEIL Model with Demographics Process and Lost of Sight Individuals
(Demasse Djidjou, A. Mendy, Lam Mountaga and J. J. Tewa)

Chapter 125. Realizations of sl(3,R) In Terms Of Chebyshev Polynomials and Orthogonal Systems of Functions. Symmetry Breaking and Variational Symmetries
(R. Campoamor-Stursberg and E. Fernández Saiz)

Chapter 126. Solitary Waves in the Nonlinear Dirac Equation at the Continuum Limit: Stability and Dynamics
(Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Avadh Saxena, Fred Cooper and Franz Mertens)

Chapter 127. Modeling of Corruption in Hierarchical Organizations
(Olga I. Gorbaneva, Guennady A. Ougolnitsky and Anatoly B. Usov)

Chapter 128. Binary Periodic Signals and Flows
(Serban E. Vlad)

Chapter 129. Pseudo-Matroids and Cuts of Matroids
(Sergey A. Gizunov and V. N. Lyamin)

Chapter 130. Foundations of Iso-Differential Calculus. Volume 6: Theory of Iso-Functions of a Real Iso-Variable
(Svetlin Georgiev)

Chapter 131. Calculating Characterization of Monopsonic Degree in the Recycled Solid Waste Market in Metropolitan Regions of Brazil
(Rilton Gonçalo Bonfim Primo and José Félix García Rodríguez)

Chapter 132. Estimation of Derivatives, from Economy to Environment: A Study of the Management of Eutrophication of a Fresh Water Basin’s Data
(Sira M. Allende-Alonso, Dan C. Chen, Carlos N. Bouza, José M. Sautto-Vallejo and Agustín Santiago-Moreno)

Chapter 133. Modeling Environmental Phenomena and Medical Classification of Patients: Case Studies
(Carlos N. Bouza)

Chapter 134. Analysis of Effect of Environmental Discharge and Awareness Programs on Japanese Encephalitis Spread Using Mathematical Modeling and Simulation
(Nita H. Shah, Urmila Chaudhari, Jyoti Gupta and Bijal Yeolekar)

Chapter 135. Estimation and Comparison of the Likelihood Ratios of Binary Diagnostic Tests
(José Antonio Roldán-Nofuentes and Raid M. Amro)

Chapter 136. Health Planning Information Acquired from Unstructured Data about Diabetes Mellitus
(Rodrigo Santos Souza, Edilberto Strauss and Flávio Luis de Mello)

Chapter 137. Applying Fuzzy Model to Map Vulnerability Areas of Trypanosoma Cruzi Transmission
(Samanta Cristina das Chagas Xavier, Marcello Goulart Teixeira andré Luiz Rodrigues Roque, Ana Maria Jansen and Luiz Felipe Coutinho Ferreira da Silva)

Chapter 138. Usage of Automatic Theorem Proving in the Recognition of Brain Emotions Activations
(Flávio Luis de Mello and Edilberto Strauss)

Chapter 139. Radiology Information System with Knowledge Reasoning
(Sérgio Ricardo Pereira Soares, Edilberto Strauss and Flávio Luis de Mello)

Chapter 140. Design of Routes for Waste Collection: Centro Habana’s Case Study
(Joanna Campbell Amos and Sira Allende Alonso)

Chapter 141. Comparison Methods of Digital Elevation Model Correction, in the Subwatershed V Aniversario, Cuyaguateje Basin Cuba
(Yeleine Almoza Hernández, Abdiel Fernández Alvarez, Yasser Vázquez and Andrea Petroseli)

Chapter 142. An Integer Optimization Model for Waste Collection Frequency Problem
(Joanna Campbell Amos, Sira Allende Alonso1 and Marcos José Negreiros Gomes)

Chapter 143. Evolving an Intelligent Framework for Decision-Making Process in E-Health Systems
(Leonardo M. Gardini, Carina Oliveira, Reinaldo Braga, Ronaldo Ramos, Luiz O. M. Andrade and Mauro Oliveira)

Chapter 144. Heart Diseases Prediction Using Data from Health Assurance Systems
(Ronaldo Ramos, César Mattos, Amauri Júnior, Ajalmar Neto, Guilherme Barreto, Helio Mazza and Márcio Mota)

Chapter 145. Iterative Algorithms I
(Ioannis K. Argyros and Á. Alberto Magreñán)

Chapter 146. Iterative Algorithms II
(Ioannis K. Argyros and Á. Alberto Magreñán)

Chapter 147. Chaos Theory and Financial Statements
(Fernando Juárez)

Chapter 148. Applying Chaos Theory to Work: The Chaos Theory of Careers
(Robert Pryor)

Chapter 149. Application of Chaos Theory to Ventricular Wall Biomechanics
(Walter E. Legnani, PhD, Leandro J. Cymberknop, PhD and Ricardo L. Armentano, PhD)

Chapter 150. Complexity and Synchronization in the Process of Biochemical Substance Exchange in a Diffusively Coupled Ring of Cells
(D. T. Mihailović, G. Mimić and I. Arsenić)

Chapter 151. Unveiling the Escape Mechanism of Orbits in Hamiltonian Systems with Multiple EXIT Channels
(Euaggelos E. Zotos)

Chapter 152. Mathematical Modeling of Intracellular Processes
(P. M. Gotovtsev, Ya. E. Sergeeva, A. V. Komova, I. A. Konova, K. V. Gorin, G. U. Badranova, V. M. Pojidaev and R. G. Vasilov)

Chapter 153. Improving the Efficiency of Bezier Basis Function in Object Surface Modeling
(J. A. Muñoz-Rodríguez)

Chapter 154. Performance Evaluation of Two-Dimensional Linear Discriminant Analysis for Images
(Tetsuya Yoshida and Yuu Yamada)

Chapter 155. From Pseudoholomorphic Functions to the Associated Real Manifold
(Giampiero Esposito and Raju Roychowdhury)

Chapter 156. Numerical and Analytical Methods for Bond Pricing in Short Rate Convergence Models of Interest Rates
(Zuzana Bučková, Beáta Stehlíková and Daniel Ševčovič)

Chapter 157. Structural Transformations in the Relationships between Mathematics and Music up to the Renaissance and the Emergence of the Idea of Number as a Continuous Quantity
(Oscar João Abdounur)

Index

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