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This book summarizes important outcomes of a quarter century of developments in advanced mathematical approaches and their implementations for deconvolution. The analysis of electron and relaxation time spectra obtained from the results of appropriate physical experiments fulfilled on real samples of bulk amorphous/crystalline semiconductors and insulators as well as on nanostructured materials and devices are…

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Over the past two decades, it has been recognized that advanced image processing techniques provide valuable information to physicians for the diagnosis, image guided therapy and surgery, and monitoring of human diseases. Convex Optimization: Theory, Methods and Applications introduces novel and sophisticated mathematical problems which encourage the development of advanced optimization and computing methods, especially…

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This book offers a multidisciplinary approach to systems theory, investigating its general principles, mathematical models, and applications in health sciences. It describes how leaders in the field have made a transition from equations and models to dilemmas faced in the real world. This book is meant to simplify our understanding of disparate hierarchical and complex…

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This book is an important and innovative addition to textbooks in game theory. It provides a detailed discourse on the extension of two of the world’s most prominent cooperative game solutions – the seminal Shapley value in games with transferrable payoffs and the classic Nash bargaining scheme in games with nontransferrable payoffs – to a…

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This is a modified version of Module 10 of the Centre for Mathematical and Statistical Sciences (CMSS). CMSS modules are notes prepared on various topics with many examples from reallife situations and exercises so that the subject matter becomes interesting to students. These modules are used for undergraduate level courses and graduate level training in…

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In this collection, the authors begin by introducing a methodology for examining continuoustime OrnsteinUhlenbech family processes defined by stochastic differential equations (SDEs). Additionally, a study is presented introducing the mathematics of mixed effect parameters in univariate and bivariate SDEs and describing how such a model can be used to aid our understanding of growth processes…

The Fibonacci Numbers and Integer Structure: Foundations for a Modern Quadrivium
Science and Technology, Mathematics and Statistics, Special Topics, Mathematics Research Developments$195.00Quick ViewIn the study of integers over many centuries, simple but very useful data have often been overlooked or at least sparingly used. The development of modular rings provides a means to shed light on such data. A modular ring is effectively an array of integers which can be uniquely identified by columns and rows with…

Fuzzy Modeling and Control: Methods, Applications and Research
Science and Technology, Mathematics and Statistics, Mathematical Modeling, Mathematics Research Developments$95.00Quick ViewFuzzy Modeling and Control: Methods, Applications and Research opens by recommending a new fuzzy RANSAC algorithm based on the reinforcement learning concept to improve modeling performance under the outlier noise. The authors also propose a novel methodology for online modeling of multivariable Hammerstein evolving fuzzy models with minimum realization in state space from experimental data.…

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In this book, the authors report the results obtained by the application of wavelet analysis to two physics experiments: the motion of variable mass pendulum and the motion of variable length pendulum. These two motions, which furnish non stationary signals for their motions, are analyzed by means of a comparative Fourier Transform and Wavelet Transform.…

Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume I
Science and Technology, Mathematics and Statistics, Mathematical Modeling, Mathematics Research Developments$230.00Quick ViewThis book is dedicated to the approximation of solutions of nonlinear equations using iterative methods. The study about convergence matter of iterative methods is usually based on two categories: semilocal and local convergence analysis. The semilocal convergence category is, based on the information around an initial point, to provide criteria ensuring the convergence of the…

Statistics
Science and Technology, Mathematics and Statistics, General Statistics, Mathematics Research Developments$230.00Quick ViewWe utilize statistics in our daily lives when we evaluate TV program ratings, predict voting outcomes, prepare stock, predict the amounts of sales, and evaluate the effectiveness of medical treatment. We predict the result not on the basis of personal experience, but on the basis of data. However, the accuracy of the prediction depends on…

The Analytic Hierarchy Process: Advances in Research and Applications
Mathematics and Statistics, Probability and Mathematical Statistics, Mathematics Research Developments$160.00Quick ViewIn this collection, the authors investigate a variety of hazards that drilling operations may be exposed to. Some may be location dependent and some may be activitydependent and each can pose a different level of risk. The key elements of the framework to assess risk are: a hierarchy of major contributors to risk in two…

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This book encompasses recent developments of variational calculus for time scales. It is intended for use in the field of variational calculus and dynamic calculus for time scales. It is also suitable for graduate courses in the above fields. This book contains eight chapters, and these chapters are pedagogically organized. This book is specially designed…

Evolution Equations: Almost Periodicity and Beyond (In Memory of Professor V.V. Zhikov)
Science and Technology, Mathematics and Statistics, Special Topics, Mathematics Research Developments$230.00Quick ViewThis volume of Advances in Evolution Equations is dedicated to the memory of Professor Vasilii Vasilievich Zhikov, an outstanding Russian mathematician. Zhikov’s scientific interest ranged from almost periodic differential equations and topological dynamics to spectral theory of elliptic operators, qualitative theory of parabolic equations, calculus of variations, homogenization, and hydrodynamics, to name a few. Many…

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This book is dedicated to the approximation of solutions of nonlinear equations using iterative methods. The study about convergence matter of iterative methods is usually based on two categories: semilocal and local convergence analysis. The semilocal convergence category is, based on the information around an initial point, to provide criteria ensuring the convergence of the…

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The opening chapter of this book aims to present and analyze the application of the simulated annealing algorithm in solving parameter optimization problems of various manufacturing processes. The main specifications of the studied optimization problems are analyzed, and the tuning of the simulated annealing algorithmspecific parameters in solving process optimization problems is also discussed. Genetic…

Quaternion Matrix Computations
Mathematics and Statistics, Computational and Graphical Statistics, Mathematics Research Developments$160.00Quick ViewIn this monograph, the authors describe stateoftheart real structurepreserving algorithms for quaternion matrix computations, especially the LU, the Cholesky, the QR and the singular value decomposition of quaternion matrices, direct and iterative methods for solving quaternion linear systems, generalized least squares problems, and quaternion right eigenvalue problems. Formulas of the methods are derived, and numerical…

Single Variable Integral and Differential Calculus in a Nutshell with Elements of Critical Thinking
$195.00Quick ViewThis book presents a variety of calculus problems concerning different levels of difficulty with technically correct solutions and methodological steps that look also correct, but that have obviously wrong results (like 0 = 1). Those errors are aimed to be resolved by applying critical thinking (i.e., reasonable, reflective, responsible, and skillful thinking). This book is…

Independent Component Analysis (ICA): Algorithms, Applications and Ambiguities
Mathematics and Statistics, Computational and Graphical Statistics, Computer Science, Technology and Applications$230.00Quick ViewModern treatment of data requires powerful tools that allow the possible valuable contents of that data to be thoroughly understood and exploited. From the plethora of techniques proposed to achieve those objectives, the independent component analysis (ICA) has emerged as a flexible and efficient approach to model and characterize arbitrary data densities. Considering adequate data…

The Life and Times of the World’s Most Famous Mathematicians
Mathematics and Statistics, General Mathematics, Distinguished Men and Women of Science, Medicine and the Arts, Mathematics Research Developments$195.00Quick ViewArithmetic, math, algebra, geometry, trigonometry, calculus and statistics are all part of the modern world, yet so few of us know where these fields of study originated. In this book, the lives and discoveries of various mathematicians will be explored and examined, so as to provide some insight into various mathematical functions and operations.

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This book reviews new research and analyzes emerging concepts in evolution equations. Chapter One discusses the evolution equation of Lietype for finite deformations, and its timediscrete integration. Chapter Two presents a review of recent results on group analysis of nonlinear evolution equations in one spatial variable. Chapter Three addresses the problem of exponential stabilization of…
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