Mathematical research summaries. Volume 1

Description

Contents Preface Part I Researcher Biographical Sketches Chapter 1 Dr. 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# Research Summary Chapter 19 Particle Swarm Optimization with Re-Initialization Strategies for Continuous Global Optimization# Research Summary Chapter 20 Particle Swarm Global Optimization of Orbital Maneuvers# Research Summary Chapter 21 Float-Encoded Genetic Algorithm Used for the Inversion Processing of Well-Logging Data# Research Summary Chapter 22 The Particle Collision Algorithm: A Metropolis Optimization Method# Research Summary Chapter 23 Classifier-Assisted Frameworks for Computationally Expensive Optimization Problems# Research Summary Chapter 24 Cutting Box Strategy: An Algorithmic Framework for Improving Metaheuristics for Continuous Global Optimization# Research Summary Chapter 25 RLS Wiener Smoother from Randomly Delayed Observations in Linear Discrete-Time Systems# Research Summary Chapter 26 A Non-Standard Practical Variational Approach via Fractional Calculus to the Optimal Control of Fractional Stochastic Systems Driven by White Noises# Research Summary Chapter 27 Representation of the Shoe-Last Bottom Based on Computer Algorithms and Laser Metrology# Research Summary Chapter 28 Role of Metrology on Current Food Safety Issues in China# Research Summary Chapter 29 Symmetric Random Vectors for which the Joint Quantum Operators Span a Lie Algebra# Research Summary Chapter 30 Pseudo Regularity in Commutative Banach Algebras# Research Summary Chapter 31 Dynamics of Viscous Barotropic Fluid on a Rotating Sphere# Research Summary Chapter 32 An Efficient Numerical Method for the Solution of Nonlinear Diffusion Equations on a Sphere # Research Summary Chapter 33 A Mathematical Modeling Approach to the Slug Flow Problem in Oil Production# Research Summary Chapter 34 Native Statistics for Natural Sciences# Research Summary Chapter 35 Deterministic and Random Evolution# Research Summary Chapter 36 Foundations of Iso-Differential Calculus. Volume 1# Research Summary Chapter 37 Introduction to Geometry and Relativity# Research Summary Chapter 38 An Overview on Theories and Methods of Self-organization# Research Summary Chapter 39 An Ant Colony Optimization-Based Approach of Feature Selection for Efficient Classification of Very Small Datasets by Mining Patterns# Research Summary Chapter 40 Self-organization and Task Allocation: An Application to Ant Algorithms# Research Summary Chapter 41 The Generalized Particle Swarm Optimization Algorithm with Application Examples# Research Summary Chapter 42 Weights And Structure Determination of Artificial Neuronets# Research Summary Chapter 43 Low-Dimensional Structures Embedded in Human Locomotion: Data Analysis and Modeling# Research Summary Chapter 44 Self-organization in Motion of a Set of Living Individuals# Research Summary Chapter 45 A Cellular Automata Method for Species Migration Process in a Heterogeneous Environment# Research Summary Chapter 46 Robust Self-Adaptive Kalman Filter with the R and Q Adaptations against Sensor/Actuator Failures# Research Summary Chapter 47 Regular Approximation of the Stochastic Pushdown Calculus# Research Summary Chapter 48 Lyapunov Stability of Non-Autonomous Dynamical Systems# Research Summary Chapter 49 Applications of Graph Theory in Architectural Analysis: Past, Present and Future Research# Research Summary Chapter 50 Miesian Intersections: Comparing and Evaluating Graph Theory Approaches to Architectural Spatial Analysis# Research Summary Chapter 51 The Algebraic Structure of Graphs# Research Summary Chapter 52 The Combination of Graph Theory and Unsupervised Learning Applied to Social Data Mining# Research Summary Chapter 53 About Organizing and Structuring the Contents of Mathematical Subjects Using Graph Theory# Research Summary Chapter 54 A Modularity Based Filtering Approach for Network Immunization# Research Summary Chapter 55 Particle of Life: Mathematical Abstraction or Reality?# Research Summary Chapter 56 Local Fractional Derivatives# Research Summary Chapter 57 Fractional Variational Embedding and Lagrangian Formulations of Dissipative Partial Differential Equations# Research Summary Chapter 58 A Class of Fractional Optimal Control Problems and Fractional Pontryagin's Systems. Variational Integrator and Existence of Continuous/Discrete Noether's Theorems# Research Summary Chapter 59 Fractal Traps and Fractional Dynamics# Research Summary Chapter 60 Numerical Approximations to Fractional Problems of the Calculus of Variations and Optimal Control# Research Summary Chapter 61 Selected Topics of Invariant Measures in Polish Groups# Research Summary Chapter 62 Foundations of Iso-Differential Calculus. Volume 2# Research Summary Chapter 63 Hypergraphs and Designs# Research Summary Chapter 64 Analysis of the Caputo Derivative and Pseudo State Representation with the Infinite State Approach# Research Summary Chapter 65 Stability of a Class of Fractional Cauchy Problem# Research Summary Chapter 66 Numerical Solution of Fractional Order Differential Equations Via Matrix-Based Methods# Research Summary Chapter 67 On Analytical Methods for Differential Equations with Local Fractional Derivative Operators# Research Summary Chapter 68 Extended Borel Transform and Fractional Calculus# Research Summary Chapter 69 Introduction to Stability Theory of Linear Fractional Difference Equations# Research Summary Chapter 70 Using The Hankel Operator to Initialize Fractional-Order Systems# Research Summary Chapter 71 Fractional Reaction-Transport Equations Arising From Evanescent Continuous Time Random Walks# Research Summary Chapter 72 Exponential Integrators For Fractional Differential Equations# Research Summary Chapter 73 Non-Fragile Tuning of Fractional-Order PD Controllers for Integrating and Double Integrating Time-Delay Systems# Research Summary Chapter 74 On Discrete, Finite-Dimensional Approximation of Linear, Infinite Dimensional Systems# Research Summary Chapter 75 Advanced Fractional Differential and Integral Equations# Research Summary Chapter 76 The Heuristic Power of the Non Integer Differential Operator in Physics: From Chaos to Emergence, Auto-Organisations and Holistic Rules# Research Summary Chapter 77 Dynamics of Fractional Order Chaotic System# Research Summary Chapter 78 Pressure Control of CNG Engines by Non-Integer Order Controllers: A New Trend in Application of Fractional Calculus to Automotive Systems# Research Summary Chapter 79 Linear Integer Order System Control by Fractional PI-State Feedback# Research Summary Chapter 80 From the Formal Concept Analysis to the Numerical Simulation of the Thermal Diffusion Phenomena in a Finite Medium# Research Summary Chapter 81 Temperature Control of a Diffusive Medium Using the CRONE Approach# Research Summary Chapter 82 Adaptive Second-Order Fractional Sliding Mode Control with Application to Water Tanks Level Control# Research Summary Chapter 83 Features of Fractional Operators Involving Fractional Derivatives and Their Applications to the Problems of Mechanics of Solids# Research Summary Chapter 84 Theory of Diffusive Stresses Based on the Fractional Advection-Diffusion Equation# Research Summary Chapter 85 Modelling Drug Effect Using Fractional Calculus# Research Summary Chapter 86 Fuzzy Fractional PID Controllers: Analysis, Synthesis and Implementation# Research Summary Chapter 87 Foundations of Iso-Differential Calculus. Volume 3: Ordinary Iso-Differential Equations# Research Summary Chapter 88 The Atomic Structure and Law# Research Summary 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# Research Summary Chapter 90 Foundations of Iso-Differential Calculus. Volume 4: Iso-Dynamic Equations# Research Summary Chapter 91 A Proposed Cloud Computing Business Framework# Research Summary Chapter 92 The Complexities of Math Skills Development# Research Summary Chapter 93 Construction of an NP Problem with an Exponential Lower Bound# Research Summary Chapter 94 Misconceptions and Misunderstandings (M&M) of Exploratory Factor Analysis: Some Clarifications# Research Summary Chapter 95 Exploratory Structural Equation Modeling: A New Trend of Factor Analysis# Research Summary Chapter 96 Quantum Information Measures and Molecular Phase Equilibria# Research Summary Chapter 97 A Mathematical Model and Optimization of Rectangular Mufflers Hybridized with One-channel Splitters by SA Method# Research Summary Chapter 98 Worst-case Analysis versus Average-case Analysis for Combinatorial Optimization Problems# Research Summary Chapter 99 Mathematical and Statistical Applied Methods: Studying the Relationship between Climatic Variables and Cotton Production# Research Summary Chapter 100 Quantum Cryptography within Several Sequential Attacks in BB84 Protocol# Research Summary Chapter 101 Foundations of Iso-Differential Calculus. Volume 5: Iso-Stochastic Differential Equations# Research Summary Chapter 102 Computational Recipes of Linear and Non-Linear Singular Integral Equations and Relativistic Mechanics in Engineering and Applied Science. Volume I# Research Summary Chapter 103 Computational Recipes of Linear and Non-Linear Singular Integral Equations and Relativistic Mechanics in Engineering and Applied Science. Volume II# Research Summary Chapter 104 The Lax-Milgram Theorem and Some Applications to Partial Differential Equations# Research Summary Chapter 105 Coupled PDEs and Control Systems Arising in Climate Dynamics: Ocean-Atmosphere Interactions and Tropical Instability Waves# Research Summary Chapter 106 Integration of PDE with the Help of Analysis over Octonions and Cayley-Dickson Algebras# Research Summary 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*,# Research Summary Chapter 108 Using Mathematical Tessellation to Model Spherical Particle Packing Structures# Research Summary Chapter 109 Further Results on Fractional Calculus for Non-differentiable Functions Applications to Z-Transform and Generalized Functions# Research Summary Chapter 110 Low Earth Orbit Satellite Constellations for Local Telecommunication and Monitoring Services# Research Summary Chapter 111 Algorithm for Autonomously Calibrating Reference Flat of Interferometer and Residual Influence of Linear Shift with Two-Flat Method# Research Summary Chapter 112 Dealing with Non-Significant Interactions Statuses between Treatments by a Suggested Statistical Approach# Research Summary Chapter 113 Stochastic Simultaneous Perturbation As Powerful Method For State And Parameter Estimation In High Dimensional Systems# Research Summary Chapter 114 Bounded Trajectories of Unstable Piecewise Linear Systems And Its Applications# Research Summary Chapter 115 Mathematical Modeling For Predicting Battery Lifetime Through Electrical Models# Research Summary Chapter 116 Mathematical Modeling of the Lithium-Ion Battery Lifetime Using System Identification Theory# Research Summary Chapter 117 Nonlinear Evolution Equations and Soliton Solutions# Research Summary Chapter 118 The Determinants of Capital Structure Choice for Chinese Listed Companies Based on Structural Equation Modeling Approach# Research Summary Chapter 119 An Examination of Predictors and Outcomes Related to School Climate Using Latent Class Analysis# Research Summary Chapter 120 Assessing Mediation in Simple and Complex Models# Research Summary Chapter 121 Symmetric Boolean Functions# Research Summary Chapter 122 Boolean Functions: All-Optical Implementation Using Quantum-Dot Semiconductor Optical Amplifiers in Mach-Zehnder Interferometer# Research Summary Chapter 123 Selective Harvesting and Time Delay in a Predator-Prey Model with Infectious Preys# Research Summary Chapter 124 Analysis of an Age-Structured SEIL Model with Demographics Process and Lost of Sight Individuals# Research Summary Chapter 125 Realizations of sl(3, ) In Terms Of Chebyshev Polynomials and Orthogonal Systems of Functions. Symmetry Breaking and Variational Symmetries# Research Summary Chapter 126 Solitary Waves in the Nonlinear Dirac Equation at the Continuum Limit: Stability and Dynamics# Research Summary Chapter 127 Modeling of Corruption in Hierarchical Organizations# Research Summary Chapter 128 Binary Periodic Signals and Flows# Research Summary Chapter 129 Pseudo-Matroids and Cuts of Matroids# Research Summary Chapter 130 Foundations of Iso-Differential Calculus. Volume 6: Theory of Iso-Functions of a Real Iso-Variable# Research Summary Chapter 131 Calculating Characterization of Monopsonic Degree in the Recycled Solid Waste Market in Metropolitan Regions of Brazil# Research Summary Chapter 132 Estimation of Derivatives, from Economy to Environment: A Study of the Management of Eutrophication of a Fresh Water Basin’s Data# Research Summary Chapter 133 Modeling Environmental Phenomena and Medical Classification of Patients: Case Studies# Research Summary Chapter 134 Analysis of Effect of Environmental Discharge and Awareness Programs on Japanese Encephalitis Spread Using Mathematical Modeling and Simulation# Research Summary Chapter 135 Estimation and Comparison of the Likelihood Ratios of Binary Diagnostic Tests# Research Summary Chapter 136 Health Planning Information Acquired from Unstructured Data about Diabetes Mellitus# Research Summary Chapter 137 Applying Fuzzy Model to Map Vulnerability Areas of Trypanosoma Cruzi Transmission# Research Summary Chapter 138 Usage of Automatic Theorem Proving in the Recognition of Brain Emotions Activations# Research Summary Chapter 139 Radiology Information System with Knowledge Reasoning# Research Summary Chapter 140 Design of Routes for Waste Collection: Centro Habana’s Case Study# Research Summary Chapter 141 Comparison Methods of Digital Elevation Model Correction, in the Subwatershed V Aniversario, Cuyaguateje Basin Cuba# Research Summary Chapter 142 An Integer Optimization Model for Waste Collection Frequency Problem# Research Summary Chapter 143 Evolving an Intelligent Framework for Decision-Making Process in E-Health Systems# Research Summary Chapter 144 Heart Diseases Prediction Using Data from Health Assurance Systems# Research Summary Chapter 145 Iterative Algorithms I# Research Summary Chapter 146 Iterative Algorithms II# Research Summary Chapter 147 Chaos Theory and Financial Statements# Research Summary Chapter 148 Applying Chaos Theory to Work: The Chaos Theory of Careers# Research Summary Chapter 149 Application of Chaos Theory to Ventricular Wall Biomechanics# Research Summary Chapter 150 Complexity and Synchronization in the Process of Biochemical Substance Exchange in a Diffusively Coupled Ring of Cells# Research Summary Chapter 151 Unveiling the Escape Mechanism of Orbits in Hamiltonian Systems with Multiple EXIT Channels# Research Summary Chapter 152 Mathematical Modeling of Intracellular Processes# Research Summary Chapter 153 Improving the Efficiency of Bezier Basis Function in Object Surface Modeling# Research Summary Chapter 154 Performance Evaluation of Two-Dimensional Linear Discriminant Analysis for Images# Research Summary Chapter 155 From Pseudoholomorphic Functions to the Associated Real Manifold# Research Summary Chapter 156 Numerical and Analytical Methods for Bond Pricing in Short Rate Convergence Models of Interest Rates*,# Research Summary 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# Research Summary Blank Page