Advances in Mathematics Research. Volume 19


Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT000000

“Advances in Mathematics Research” presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed include the complexities of math skills development; construction of an NP problem with an exponential lower bound; misconceptions and misunderstandings (M&M) of exploratory factor analysis; exploratory structural equation modeling; quantum information measures and molecular phase equilibria; a mathematical model and optimization of rectangular mufflers hybridized with one-channel splitters by SA method; worst-case analysis versus average-case analysis for combinatorial optimization problems; mathematical and statistical applied methods; and quantum cryptography within several sequential attacks in BB84 protocol.
(Imprint: Nova)



Table of Contents


Chapter 1 – The Complexities of Math Skills Development (pp. 1-22)
Robert Perna and Ashlee R. Loughan (Neurobehavioral Associates, Augusta, GA)

Chapter 2 – Construction of an NP Problem with an Exponential Lower Bound (pp. 23-34)
Roman V. Yampolskiy (Computer Engineering and Computer Science, University of Louisville)

Chapter 3 – Misconceptions and Misunderstandings (M&M) of Exploratory Factor Analysis: Some Clarifications (pp. 35-46)
Eddie T. C. Lam, PhD and Anita N. Lee, DPE (Department of Health and Human Performance, Cleveland State University, OH, USA, and others)

Chapter 4 – Exploratory Structural Equation Modeling: A New Trend of Factor Analysis (pp. 47-52)
Anita N. Lee, DPE and Eddie T. C. Lam, PhD (Department of Health and Physical Education, Eastern Connecticut State University, CT, USA, and other)

Chapter 5 – Quantum Information Measures and Molecular Phase Equilibria (pp. 53-86)
Roman F. Nalewajski (Department of Theoretical Chemistry, Jagiellonian University, Cracow, Poland)

Chapter 6 – A Mathematical Model and Optimization of Rectangular Mufflers Hybridized with One-Channel Splitters by SA Method (pp. 87-102)
Min-Chie Chiu (Department of Mechanical and Automation Engineering, Chung Chou University of Science and Technology, Taiwan, R.O.C.)

Chapter 7 – Worst-Case Analysis versus Average-Case Analysis for Combinatorial Optimization Problems (pp. 103-118)
Nodari Vakhania (Facultad de Ciencias, UAEMor, Mexico)

Chapter 8 – Mathematical and Statistical Applied Methods: Studying the Relationship between Climatic Variables and Cotton Production (pp. 119-148)
Zakaria M. Sawan (Cotton Research Institute, Agricultural Research Center, Ministry of Agriculture & Land Reclamation, Giza, Egypt)

Chapter 9 – Quantum Cryptography within Several Sequential Attacks in BB84 Protocol (pp. 149-176)
Mustapha Dehmani, Hamid Ez-Zahraouy and Abdelilah Benyoussef (Laboratory of Magnetism and High Energy Physics (URAC 12), Physics Department, Faculty of Sciences, University Mohammed V Rabat, Morocco)


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