Encyclopedia of Mathematics Research (3 Volume Set)


Joshua D. Mathias (Editor)
Sophia I. Cleaves (Editor)

Series: Mathematics Research Developments
BISAC: MAT000000

This book discusses current research developments in the field of mathematics. Topics presented include exceptional groups, symmetric spaces and applications; LIE group analysis; graph groupoids and corresponding representations; fuzzy logic in molecular computing; closed-loop optimal fuzzy reasoning; nozzle design optimization; a branch-and-price algorithm for the stochastic generalized assignment problem; parametric dual regularization in a linear-convex mathematical programming and fast multilevel algorithms for diverse application in computational biology and bioinformatics. (Imprint: Nova)



Table of Contents


Application of Symmetry Analysis to Description of Ordered Structures in Crystals
(Wieslawa Sikora, Lucjan Pytlik, AGH University of Science and Technology, Kraków, Poland)

Higher Algebraic K – Theory of G – Representations for the Actions of Finite and Algebraic Groups G
(Aderemi Kuku, Department of Mathematics and Computer Science, Grambling State University, Grambling, LA)

Liberal Nationalism, Citizenship and Integration
(Sune Loegaard, Centre for the Study of Equality and Multiculturalism, University of Copenhagen)

The Consideration of Rape as Torture and as Genocide: Some Implications for Group Theory
(Daniela De Vito, Roehampton University, London, United Kingdom)

Group Work – Not One, But a Great Many Processes: Understanding Group Work Dynamics
(Eva Hammar Chiriac, Department of Behavioral Sciences and Learning, Linköping University, Linköping, Linköping, Sweden)
6,708 words

The Continuous Shearlet Transform in Higher Dimensions: Variations of a Theme
(Stephan Dahlke, Gabriele Steidl, Gerd Teschke, Philipps-University at Marburg, Marburg, Germany, and others)

Exceptional Groups, Symmetric Spaces and Applications
(Sergio L. Cacciatori, B.L. Cerchiai, Dipartimento di Fisica e Matematica,
Universita dell ‘Insubria Milano, Como, Italy, and others)

A Survey of Some Results in the LIE Group Analysis
(Phillip Yam, Dept. of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong)

Graph Groupoids and Corresponding Representations
(Ilwoo Cho, Saint Ambrose University, Davenport, Iowa, U.S.A.)

The Group Aspect in the Physical Interpretation of General Relativity Theory
(Salvatore Antoci, Dipartimento di Fisica “A. Volta” and CNR, Pavia, Italy and Dierck Ekkehard Liebscher,Astrophysikalisches Institut Potsdam, Potsdam, Deutschland)

Long Time Behaviour of the Wiener Process on a Path Group2
(Remi Leandre, Institut de Mathematiques, Universite de Bourgogne, Dijon, France)

Fuzzy Logic in Molecular Computing
(Pier Luigi Gentili, Dipartimento di Chimica, Univ. di Perugia, Perugia, Italy)

The Application of Fuzzy Logic Principles to Developmental Psychology
(Marijn van Dijk, Paul van Geert, Open University of the Netherlands, The Netherlands)

Fuzzy Logic, Vagueness and Uncertainty
(Gaetano Licata, Dipartimento Fieri di Filsofia, Univ. di Palermo, Palermo)

Fuzzy Decision Support System and its Applications in Supply Chain Management
(Ying Xie, Business School, Univ. of Greenwich, Maritime Campus, London, UK)

Application of Fuzzy Logic for Automated Interpretation of Mass Spectra
(Timothy R. McJunkin, Industrial Technology, Jill R. Scott, Chemical Sciences, Idaho National Laboratory, Idaho Falls, ID)

Fuzzy Indices of Ecological Conditions: Review of Techniques and Applications
(Agnese Marchini, Dipartimento di Ecologia del Territorio, Univ. di Pavia, Italy)

A Method for Fuzzy Logic Optimization and Its Application in Placement of Biomass Power Plants
(P. Reche-Lopez, N. Ruiz-Reyes, S. Garcia-Galan, Univ. of Jaen, Dept. of Telecommunication Engineering, EPS Linares, Jaen, Spain, Francisco Jurado, Univ. of Jaen, Dept. of Electrical Engineering, EPS Linares (Jaen), Spain)

Managing Energy Data Using Fuzzy-Sets in Decision Making
(Fausto Cavallaro, Dept. S.E.G.e S – Technological Section, Univ. of Molise, Via De Sanctis, Campobasso, Italy)

Fuzzy Inference System for the Hydrological Expectation’s Modeling in Colombian Electricity Market
(Santiago Medina, Julian Moreno, Univ. Nacional de Colombia, Medellin)

Fuzzy Logic Applied in Multidimensional Model of Postoperative Pain Derived from Patient-Controlled Analgesia
(Jiann-Shing Shieh, Dept. of Mechanical Engineering, Yuan Ze Univ., Taiwan, Chung-Yi Dai, Dept. of Anesthesiology, College of Medicine, National Taiwan Univ., Taipei, Taiwan, Yeong-Ray Wen, Dept. of Anesthesiology, Shin Kong Wu Ho-Su Memorial Hospital, Taipei, Taiwan, Tzu-Yu Lin, Dept. of Anesthesiology, Far Eastern Memorial Hospital, Taiwan, Jen-Yin Chen, Dept. of Anesthesiology, Chi-Mei Medical Center, Tainan, Taiwan, et al.)

Decentralized Design of A Fuzzy Multi-Objective Power System Stabilizer via Linear Matrix Inequalities
(M. Soliman, Electrical Power and Machines Dept., Benha Univ., Shubra, Egypt, A.-L. Elshafei, Electrical Power and Machines Dept., Cairo Univ., Giza, Egypt, F. Bendary, Electrical Power and Machines Dept., Benha Univ., Shubra, Egypt, W. Mansour, Electrical Power and Machines Dept., Benha Univ., Shubra, Egypt)

Closed-loop Optimal Fuzzy Reasoning and Its Robustness Analysis
(Zhang Lei, School of Electrical Engineering and Automation, Hebei Univ. of Technology, China, Zhang Kun, School of Information Engineering, Hebei Univ. of Technology, China)

Applying Fuzzy Logic in Dynamic Buffer Tuning to Enhance the Success of Pervasive Medical Consultations
(Wilfred W.K. Lin, Jackei H.K. Wong, ChenYe Zhu, Allan K.Y. Wong, Dept. of Computing, Hong Kong Polytechnic Univ. Hong Kong SAR, Tharam S. Dillon, Digital Ecosystems and Business Intelligence Institute, Curtin Univ. of Technology, Perth, Western Australia)

Fuzzy Logic in Evaluating the Impacts of MVAR Supports on ATC in a Deregulated Electricity Market
(S. Shahnawaz Ahmed, Azhar B. Khairuddin, Dept. of Electrical and Electronic Engineering, Bangladesh Univ. of Engineering and Technology (BUET), Dhaka, Bangladesh, Faculty of Electrical Engineering, Univ. Teknologi Malaysia, Johor, Malaysia)

FL Application to Param. Extraction FET (Fuzzy Logic Applications to Parameter Extraction of FET Compact Models)
(R. Picos and E. Garcia-Moreno, Grup de Tecnologia Electronica, Univ. Illes Balears, Spain; Benjamin Iniguez, Universitat Rovira i Virgili, Tarragona, Spain)

Fuzzy Logic Data Mining Based on Mass Assignment Theory
(Dong Xie, School of Engineering Advanced Technology, Massey Univ., North Shore Main Centre, Auckland, New Zealand, Jim F. Baldwin, Dept. of Engineering Mathematics, Faculty of Engineering, Univ. of Bristol, Bristol, UK)

Manufacturing in Shape Optimization of Structural Components
(Kuang-Hua Chang, School of Aerospace and Mechanical Engineering, The Univ. of Oklahoma, Norman, OK, Mangesh Edke, School of Aerospace and Mechanical Engineering, The Univ. of Oklahoma, Norman, OK)

Computational Analysis of Reaction Specificity and Characterization of A Titanium(IV)-Porphyrin Reagent for Determining Hydrogen Peroxide
(Kiyoko Takamura and Takatoshi Matsumoto, K. Takamura Tokyo University of Pharmacy and Life Sciences, Tokyo, Japan, T. Matsumoto, Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Katahira, Sendai, Japan)

Elements of Nozzle Design Optimization
(Vladislav M. Galkin, Institute of Geology and the Oil & Gas Industries, Tomsk Polytechnic Univ., Tomsk, Russia, Yuri S. Volkov, Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia)
<a href=”https://novapublishers.com/wp-content/uploads/2019/10/978-1-61324-228-5_ch30.pdf” target=”_blank” rel=”noopener”>Free Download Available</a>

The Application of a Composed Multi-Item Production/Inventory Planning Technique: A Case Study
(B.N. Khoury, Industrial and System Engineering, Univ. of Florida, RO ConsultingEng, Inc., School of Engineering and Architecture, Lebanese American Univ.)

Meta-Heuristics Applied to the Optimal Design of Water Distribution Systems
(R. Banos, C. Gil, Dpt. Computer Architecture and Electronics, Univ. of Almeria, Almeria, Spain, J. Reca, J. Martinez, Dpt. Rural Engineering, Univ. of Almeria, Almeria, Spain)

Computationally Efficient Approximation Schemes for Functional Optimization
(Angelo Alessandri 1, Giorgio Gnecco,2,3,Marcello Sanguineti, Department of Production Engineering, Thermoenergetics, and Mathematical Models (DIPTEM)University of Genoa, Genova, Italy 2 Department of Mathematics (DIMA)University of Genoa Via Dodecaneso Genova, Italy 3 Department of Communications, Computer and System
Sciences (DIST) University of Genoa, Genova, Italy)

A Branch-and-Price Algorithm for the Stochastic Generalized Assignment Problem
(David Morton, Jonathan F. Bard and Young Min Wang, Department of Mechanical Engineering, University of Texas)

Nature Inspired and Classic Metaheuristic Algorithms for Global Unconstrained Optimization Problems
(Yannis Marinakis, Technical Univ. of Crete, Dept. of Production Engineering and Management, Decision Support Systems Laboratory, Chania, Greece, Magdalene Marinaki, Technical Univ. of Crete, Dept. of Production Engineering and Management, Industrial Systems Control Laboratory, Chania, Greece)

Parametric Dual Regularization in a Linear-Convex Mathematical Programming
(M.I. Sumin, Mathematical Dept., Nizhnii Novgorod State Univ., Nizhnii Novgorod, Russia)

Fast Multilevel Algorithms for Linear Ordering Problems
(Ilya Safro, Dorit Ron, Achi Brandt, The Weizmann Institute of Science, Rehovot, Israel)

Combinatorial Optimization for Diverse Applications in Computational Biology and Bioinformatics
(Tran Trang, Laboratoire d’Informatique, Univ. de Nice Sophia Antipolis, Sophia Antipolis Cedex, France, Centre Integre de Bioinformatique – Faculte de Medecine, Univ. de Lille, Lille Cedex, France, Hoang Ngoc Minh, Centre Integre de Bioinformatique – Faculte de Medecine, Univ. de Lille, Lille Cedex, France)

Theoretical Aspects and Applications of Variational Sensitivity Analysis in the Physical and Material Space
(Daniel Materna and Franz-Joseph Barthold, Numerical Methods and Information Processing, Dortmund, Germany)

Computational Optimization from an Independent Perspective
(B.N. Khoury, Industrial and Systems Engineering, Univ. of Florida, Gainesville, FL, RO ConsultEng, Brookhaven, NY)


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