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Quick ViewThis book focuses on hierarchical organizational structures. Secondly, the authors perform modeling in the context of solving control problems. Next, the conditions of corrupting a major task of control consisting of ensuring sustainable development of modeled hierarchical organizations are reviewed. Here, the authors proceed from the original concept of sustainable management (Ougolnitsky, 2002, 2005, 2010,…
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Quick ViewThis book is intended for readers who have had a course in theory of functions, isodifferential calculus and it can also be used for a senior undergraduate course. Chapter One deals with the infinite sets. We introduce the main operations on the sets. They are considered as the one-to-one correspondences, the denumerable sets and the…
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Quick ViewThis book is dedicated to the study of algebraic characteristics of some structures of matroid type. The notions of pseudo-matroids generated by mappings of matroids, G-mappings of binary matroids and semi-matroids are introduced. Some results on general matroid theory and an algorithmic solution for exponential complexity of problems with enumeration of all non-isomorphic binary matroids…
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Quick ViewThe signals from digital electrical engineering are modeled by discrete time and real time functions, whose values are binary n-tuples and which are also called signals. The asynchronous circuits, representing the devices that work with such signals, are modeled by Boolean autonomous deterministic regular asynchronous systems, shortly by asynchronous flows. The attribute ‘Boolean’ vaguely refers…
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Quick ViewIt is a well-known fact that iterative methods have been studied concerning problems where mathematicians cannot find a solution in a closed form. There exist methods with different behaviors when they are applied to different functions and methods with higher order of convergence, methods with great zones of convergence, methods which do not require the…
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Quick ViewThe book begins with four introductory chapters devoted to Boolean algebraic functions and Binary Decision Diagrams. The rest of the book is based on original results obtained by the author from 1994 to 2014 and reflected, in particular, in English-language conference and journal publications (ISLPD, ICCAD, ED&TC, ISQED, DATE, ACM transactions, etc.), and also in…
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Quick ViewThe purpose of this book is to analyze the interdisciplinary aspects of mathematics and geometry in reference to nature, art, and architecture. In Chapter 1, we introduce symmetry and its different meanings. Symmetry is a notion, which has been applied in the arts and architecture to find harmony and beauty. It joins aesthetics and practice,…
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Quick ViewThis research consists of two parts. The first part focuses on the development of the proposition that “if there exists a type of function, then there exists a functional with the same type” based on the proposition of the Inheritance and Generalizability properties of the function in a functional. This study presents the abstract convex,…
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Quick ViewThe study of iterative methods began several years ago in order to find the solutions of problems where mathematicians cannot find a solution in closed form. In this way, different studies related to different methods with different behaviors have been presented over the last decades. Convergence conditions have become one of the most studied topics…
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We utilize statistics when we evaluate TV program ratings, predict voting outcomes, prepare stock, predict the amount of sales, and evaluate the effectiveness of medical treatment. We want to predict the results not on the basis of personal experience or images, but on the basis of corresponding data. The accuracy of the prediction depends on…
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We utilize statistics in our daily life: when we evaluate TV program ratings, predict voting results, prepare stocks, make sales predictions, and when we evaluate the effectiveness of medical treatments, to name a few. We predict the results not on the basis of personal experience, but on the basis of data. However, the accuracy of…
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This monograph is, as far as the author has gathered, the second of its kind (the first one was published by Nova in 2017 with coauthors Hamedani and Maadooliat) which presents various characterizations of a wide variety of continuous distributions. These two monographs could also be used as sources to prevent reinventing and duplicating the…
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Quick ViewThis book provides new research in finite fields. Chapter One presents some techniques that rely on a combination of results from graph theory, finite fields, matrix theory, and finite geometry to researchers working in the area of preserver problems. It also gives a brief presentation of this research field to other mathematicians. Chapter Two contains…
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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 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 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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