Advances in Mathematics Research. Volume 24

Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT027000




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In Chapter One, Ming Ming Chiu deliberates on the way statistical discourse analysis can be used to overcome certain modeling problems by presenting a study on social metacognitive actions. Next, Chapter Two by Oscar João Abdounur explores the correlation between ratio and theoretical music, especially from the 14th through the 16th centuries in Europe. In Chapter Three, Thomas Z. Fahidy provides a review of several textbook literature cases which maintain the significance of choosing testing methods. Following this, Chapter Four by A.V. Kalinin, M.I. Sumin, and A.A. Tyukhtina evaluate issues of final observation for the system of Maxwell equations in the quasi-stationary magnetic approximation. Additionally, they present possible algorithm applications. In Chapter Five, R. Campoamor-Stursberg applies a systematic method to five-dimensional Lie algebras in order to address the problem of nonlinear systems. Chapter Six by Mohamed Sallak, Ayyoub Imakhlaf, and Yunhui Hu suggest the importance of imprecise theories versus the classical probability theory. Lastly, Chapter Seven by Yilun Shang presents a review on current knowledge of groupies in varied random graph models. (Imprint: Nova)


Chapter 1. Statistical Discourse Analysis: an Alternative to Sequential Analysis for Modeling Actions by Individuals within Groups
Ming Ming Chiu (Chair Professor of Analytics and Diversity, The Education University of Hong Kong, Hong Kong)

Chapter 2. Theories of Ratio in Competition in Theoretical Music in the Late Middle Ages
Oscar João Abdounur (Max Planck Institut für Wissenschaftsgeschichte, Berlin, Germany and others)

Chapter 3. On the Method-Dependence of Goodness-Of-Fit Tests for the Normal Distribution: Technical Illustrations
Thomas Z. Fahidy (Department of Chemical Engineering, University of Waterloo, Waterloo, Ontario, Canada)

Chapter 4. Methods of Dual Regularization for Solving Inverse Problems of Quasi-Stationary Electromagnetic Fields Theory
A.V. Kalinin, M.I. Sumin, and A.A. Tyukhtina (Institute of Informational Technology, Mathematics and Mechanics and Institute of Economics and Entrepreneurship, N.I. Lobachevsky Nizhnii Novgorod State University, Nizhnii Novgorod, Russia)

Chapter 5. Reduction of Representations and Vessiot–Guldberg–Lie Algebras of First-Order Systems of Differential Equations
R. Campoamor-Stursberg (Instituto de Matem´atica Interdisciplinar and Depto. de Geometría y Topología, Universidad Complutense, Madrid, Spain)

Chapter 6. Reliability Assessment under Aleatory and Epistemic Uncertainty
Mohamed Sallak, Ayyoub Imakhlaf, and Yunhui Hu (Sorbonnes Universités, Université de Technologie de Compiègne, Heudiasyc Laboratory, Compiègne, France)

Chapter 7. Groupies of Random Graphs: A Brief Survey
Yilun Shang (School of Mathematical Sciences, Tongji University, Shanghai, China)


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