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Quick ViewThis book provides new research on Chaos Theory. Chapter One begins with a discussion on the applications of Chaos Theory to financial statements. Chapter Two describes how the Chaos Theory of Careers developed out of discontent with previous career development theories and how fundamental concepts such as non-linearity, emergence, systems thinking, attraction, unplanned change, could…
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Quick ViewThis book focuses on the theory and applications of quaternions. Chapter One collects some old problems on lattice orders and directed partial orders on complex numbers and quaternions, and summarizes recent development in answering those questions. Chapter Two discusses spin 1 particles with anomalous magnetic moments in the external uniform electric field. Chapter Three examines…
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Quick ViewThis book provides new research on the advances in nonlinear dynamics. Chapter One studies compactons in carbon nanotube arrays. Chapter Two reviews the elastic and plastic type behaviors in the Fractal Theory of Motion at nanoscale. Chapter Three analyzes a particular model of tumor progression, assuming that the invasive cells, the connective tissue and the…
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Quick ViewThis books provides new research on the theories and applications of complex systems. Chapter One reviews the process algebra approach to quantum electrodynamics. Chapter Two describes a specific aspect of complex systems and the fact that they may consist of established subsystems or components that originate from converging industries. Chapter Three examines the development of…
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Quick ViewThis book presents an introduction to the theory of nonlinear integral equations on time scales. Many population discrete models such as the logistic model, the Ricker model, the Beverton-Holt model, Leslie-Gower competition model and others can be investigated using nonlinear integral equations on the set of the natural numbers. This book contains different analytical and…
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Quick Viewhis book is concerned with fostering theoretical issues on stochastic programming and discussing how it can solve real life problems. The book presents applications which solve the optimization of concrete problems in electricity markets, market equilibria, resource markets and environments. Each chapter presents a survey on the main results concerned with its contents, and discusses…
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Quick ViewThis book provides new research on the dynamics, algorithms and synchronization of chaotic systems. Chapter One introduces some nonlinear techniques for the synchronization of a class of chaotic oscillator under the framework of observer design from control theory. Chapter Two discusses in detail the application of a novel multi-domain spectral collocation approach for finding solutions…
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Quick ViewThis book provides new research on principal component analysis (PCA). Chapter One introduces typical PCA applications of transcriptomic, proteomic and metabolomic data. Chapter Two studies the factor analysis of an outcome measurement survey for science, technology and society. Chapter Three examines the application of PCA to performance enhancement of hyperspectral radiative transfer computations. (Imprint: Novinka)
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Quick ViewFixed point theory is a growing and exciting branch of mathematics with a variety of wide applications in biological and mathematical sciences, proposing newer applications in discrete dynamics and super fractals. The present endeavor is to report the latest trend in metric fixed point theory, emphasizing newer applications in numerical analysis, discrete dynamics and fractal…
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Quick ViewOne of the central questions in the qualitative theory of difference and differential equations is to find the conditions of existence and asymptotic behavior of bounded solutions. For equations with almost periodic coefficients, the problem goes back to Favard and Perron. A remarkable theory has been developed in harmonic analysis with outstanding contributions by Loomis,…
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Quick ViewThis book provides a sound understanding for creating new knowledge, which takes three main forms: Exploratory research, which structures and identifies new problems; constructive research, which develops solutions to a problem; and empirical research, which tests the feasibility of a solution using empirical evidence. This book encompasses both qualitative and quantitative research and analysis. The…
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Quick ViewA nonlinear system is a set of nonlinear equations, which may be algebraic, ordinary differential, partial differential, fractional, integral or a combination of these. Especially, nowadays, the term “dynamical system” is used as a synonym of nonlinear systems where the nonlinear equations represent the evolution of a solution over time. So, the notion of dynamical…
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Quick ViewThe main goal of this book is to present coherent mathematical models to describe an economic growth and related economic issues. The book is a continuation of the author’s previous book Mathematical Dynamics of Economic Markets, which presented mathematical models of economic forces acting on the markets. In his previous book, the author described a…
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Quick ViewThis book begins by presenting a method for Interval Analysis based on simple statistical tools applied on a space of Gaussian variables in Chapter One. Chapter Two describes how using interval analysis the main part of optimization techniques will allow to partially solve global optimization problems. Chapter Three covers the applications of interval computations in…
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Quick ViewChapter One addresses the importance of weighted linear regression in fitting straight lines. In Chapter Two, the authors cover the homocedastic condition, i.e. variance of y’s independent of x, errors of y’s accumulative, the heterocedastic case, i.e. variance or standard deviation proportional to x values, respectively, and orthogonal regression (error in both axes). The chapter…
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Quick ViewChapter One presents a study on application of Monte Carlo simulation in reliability assessment of composite electric power systems. Chapter Two develops a PK/PD model to evaluate, by Monte Carlo simulation as a data maximization strategy, the antiviral activity of two stavudine formulations: conventional stavudine and stavudine-gold nanoparticles (stavudine-AuNPs). In Chapter Three, the magnetic properties…
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Quick ViewSampling techniques have been widely used in almost all areas of life. The method of drawing a sample is very important for estimation of population characteristics. In this book we have made an attempt to discuss popular sampling designs and estimation methods that can be used for estimation of population characteristics. This book presents two…
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Quick ViewMarco Bianucci and Silvia Merlino begin Chapter One by focusing on the Ocean-Atmosphere system in an effort to show how to get a Generalized Fokker Planck Equation by describing the statistics of a point of interest within the large, complex system. Next, Mikhail Moklyachuk and Maria Sidei examine results of an investigation in which the…
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Quick ViewIn the first chapter, Sergey A. Sakulin, PhD and Alexander N. Alfimtsev, PhD discuss fuzzy integral, a powerful metaoperator, and its applications. In the second chapter, Bruno G. Botelho and Adriana S. Franca discuss the concept of data fusion and how it might be applied in different areas of food analysis to improve the information…
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Quick View“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 using mathematical tessellation to model spherical particle packing structures; further results on fractional calculus for non-differentiable functions applications to z-transform and…
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Quick View“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. Chapter One summarizes the phase/current generalized measures of the entropy/information content in complex quantum states of molecular systems. Chapter Two reviews the current knowledge…
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Quick View“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 modern works in the field of mathematical modeling of intracellular processes; the improvement of Bezier basis function efficiency in object surface…
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