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Quick ViewDisease in the prey population increases the risk of prey outcomes in predation or to be harvested. In this book, an eco-epidemiological model consisting of predator-prey model with SIS disease in the prey population is proposed and analyzed. Furthermore, the authors discuss a mathematical S-E-I-L (Susceptible-Latently infected-Infected-Lost of sight) model for the spread of a…
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Quick ViewExponential distribution is one of the most-used distributions in the theory and practice of statistics. It has several important properties like being memoryless and having a constant hazard rate. The field of characterization is developed in different branches of statistics and applied probability. Ordered random variables are common in various applications in practice. In this…
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This monograph presents smooth, unified, and generalized fractional programming problems, particularly advanced duality models for discrete min-max fractional programming. In the current, interdisciplinary, computer-oriented research environment, these programs are among the most rapidly expanding research areas in terms of their multi-faceted applications including problems ranging from robotics to money market portfolio management. The other more…
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Quick ViewSymmetric Boolean functions have played an important role in many aspects of design automation for many years. This book summarizes developments and provides a collection of new tools and techniques that can be used to advance the study of Boolean functions. Moreover, Boolean functions provide the necessary framework for expressing the operation of logic gates,…
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Quick ViewThe idea of this book is to demonstrate the tendency of modern research in mathematical ecology using the optimal control theory and game-theoretic methods. The book introduces the modelling of environmental systems through conceptual game-theoretic models, showing the importance of the equilibrium behavior under resource extraction. Using discrete and continuous models of biological and physical…
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Quick ViewThis book studies the methods for solving non-linear, partial differential equations that have physical meaning, and soliton theory with applications. Specific descriptions on the formation mechanism of soliton solutions of non-linear, partial differential equations are given, and some methods for solving this kind of solution such as the Inverse Scattering Transform method, Backlund Transformation method,…
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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 ViewThis book aims to present models and methods for objective analysis associated with human health and environment protection. The content deals mainly with specific models based on statistics, operational research and mathematical logic, as well as the need for developing efficient software. Other books have approached the themes covered in this volume. However, they do…
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The 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…
For titles published prior to 2016, please click here.
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