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Author: Peter J. Morgan Publisher: Wipf and Stock Publishers ISBN: 153268620X Category : Religion Languages : en Pages : 182
Book Description
Everyone has experienced pain. No one is immune from loss and suffering. With all of the evil in this world, how can anyone rationally believe in a good and loving God? People who believe in God experience intense evil, yet they still retain their faith, claiming that God helps them in times of need. Still others claim that this same evil is proof that God does not exist; that if God were real, he would limit the suffering. If you have ever thought that it seems that things should be a certain way, that you are inclined toward believing, or not believing, in God because of the existence of evil, you are part of the conversation of the abductive problem of evil. This book does more than just explore what modern philosophers on both sides of the aisle have claimed about God and evil. It also illuminates an intricate world that is crafted for people having free will, for people who make moral choices. For it is within the realm of this intricate world that we may find the answers we seek.
Author: Peter J. Morgan Publisher: Wipf and Stock Publishers ISBN: 153268620X Category : Religion Languages : en Pages : 182
Book Description
Everyone has experienced pain. No one is immune from loss and suffering. With all of the evil in this world, how can anyone rationally believe in a good and loving God? People who believe in God experience intense evil, yet they still retain their faith, claiming that God helps them in times of need. Still others claim that this same evil is proof that God does not exist; that if God were real, he would limit the suffering. If you have ever thought that it seems that things should be a certain way, that you are inclined toward believing, or not believing, in God because of the existence of evil, you are part of the conversation of the abductive problem of evil. This book does more than just explore what modern philosophers on both sides of the aisle have claimed about God and evil. It also illuminates an intricate world that is crafted for people having free will, for people who make moral choices. For it is within the realm of this intricate world that we may find the answers we seek.
Author: Peter Morgan Publisher: ISBN: Category : Free will and determinism Languages : en Pages : 237
Book Description
Two important theistic defenses, the Free Will Defense and the Expanded Free Will Defense, provide valuable thought in defense of theism but are insufficient for addressing specific cases of intense evil, as the non-theistic evidential/abductive arguments from the problem of evil are want to do. However, theodical suggestions from systems of regularity, as a necessary part of living out a free will existence, provide a theistic defense that correlates with free will defenses and more fully accounts for the existence of good and intense evil. This Free System Corollary is derived from a starting point of two basic goods in human life: free will and free systems. After consideration of free will and free systems, theodical suggestions arise, naturally flowing from the evidence provided from free will and free systems. Through the application of the Free System Corollary to specific cases of intense evil, the argument is made that theism offers better potential explanations than naturalism for the amounts and kinds of evils in this world based on what is known of human reality.
Author: Mathukumalli Vidyasagar Publisher: Springer Nature ISBN: 3031018281 Category : Computers Languages : en Pages : 166
Book Description
This book introduces the so-called ""stable factorization approach"" to the synthesis of feedback controllers for linear control systems. The key to this approach is to view the multi-input, multi-output (MIMO) plant for which one wishes to design a controller as a matrix over the fraction field F associated with a commutative ring with identity, denoted by R, which also has no divisors of zero. In this setting, the set of single-input, single-output (SISO) stable control systems is precisely the ring R, while the set of stable MIMO control systems is the set of matrices whose elements all belong to R. The set of unstable, meaning not necessarily stable, control systems is then taken to be the field of fractions F associated with R in the SISO case, and the set of matrices with elements in F in the MIMO case. The central notion introduced in the book is that, in most situations of practical interest, every matrix P whose elements belong to F can be ""factored"" as a ""ratio"" of two matrices N,D whose elements belong to R, in such a way that N,D are coprime. In the familiar case where the ring R corresponds to the set of bounded-input, bounded-output (BIBO)-stable rational transfer functions, coprimeness is equivalent to two functions not having any common zeros in the closed right half-plane including infinity. However, the notion of coprimeness extends readily to discrete-time systems, distributed-parameter systems in both the continuous- as well as discrete-time domains, and to multi-dimensional systems. Thus the stable factorization approach enables one to capture all these situations within a common framework. The key result in the stable factorization approach is the parametrization of all controllers that stabilize a given plant. It is shown that the set of all stabilizing controllers can be parametrized by a single parameter R, whose elements all belong to R. Moreover, every transfer matrix in the closed-loop system is an affine function of the design parameter R. Thus problems of reliable stabilization, disturbance rejection, robust stabilization etc. can all be formulated in terms of choosing an appropriate R. This is a reprint of the book Control System Synthesis: A Factorization Approach originally published by M.I.T. Press in 1985. Table of Contents: Introduction / Proper Stable Rational Functions / Scalar Systems: An Introduction / Matrix Rings / Stabilization
Author: Anatole Katok Publisher: Cambridge University Press ISBN: 9780521575577 Category : Mathematics Languages : en Pages : 828
Book Description
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Author: Richard E. Meyer Publisher: Courier Corporation ISBN: 0486151409 Category : Science Languages : en Pages : 196
Book Description
Excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. Geared toward advanced undergraduate and graduate students of mathematics and science; prerequisites include calculus and vector analysis. 1971 edition.
Author: Gennaro Auletta Publisher: World Scientific ISBN: 9789810246143 Category : Science Languages : en Pages : 1030
Book Description
The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years.There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of ?Schr”dinger cats?; recent developments which allow, for the first time, the simultaneous measurement of complementary observables; quantum information processing, teleportation and computation.To accomplish this task, the book combines historical, systematic and thematic approaches.
Author: Azaria Paz Publisher: Academic Press ISBN: 1483268578 Category : Mathematics Languages : en Pages : 255
Book Description
Introduction to Probabilistic Automata deals with stochastic sequential machines, Markov chains, events, languages, acceptors, and applications. The book describes mathematical models of stochastic sequential machines (SSMs), stochastic input-output relations, and their representation by SSMs. The text also investigates decision problems and minimization-of-states problems arising from concepts of equivalence and coverings for SSMs. The book presents the theory of nonhomogeneous Markov chains and systems in mathematical terms, particularly in relation to asymptotic behavior, composition (direct sum or product), and decomposition. "Word functions," induced by Markov chains and valued Markov systems, involve characterization, equivalence, and representability by an underlying Markov chain or system. The text also discusses the closure properties of probabilistic languages, events and their relation to regular events, particularly with reference to definite, quasidefinite, and exclusive events. Probabilistic automata theory has applications in information theory, control, learning theory, pattern recognition, and time sharing in computer programming. Programmers, computer engineers, computer instructors, and students of computer science will find the collection highly valuable.
Author: Mathukumalli Vidyasagar Publisher: Morgan & Claypool Publishers ISBN: 1608456625 Category : Technology & Engineering Languages : en Pages : 186
Book Description
This book introduces the so-called "stable factorization approach" to the synthesis of feedback controllers for linear control systems. The key to this approach is to view the multi-input, multi-output (MIMO) plant for which one wishes to design a controller as a matrix over the fraction field F associated with a commutative ring with identity, denoted by R, which also has no divisors of zero. In this setting, the set of single-input, single-output (SISO) stable control systems is precisely the ring R, while the set of stable MIMO control systems is the set of matrices whose elements all belong to R. The set of unstable, meaning not necessarily stable, control systems is then taken to be the field of fractions F associated with R in the SISO case, and the set of matrices with elements in F in the MIMO case. The central notion introduced in the book is that, in most situations of practical interest, every matrix P whose elements belong to F can be "factored" as a "ratio" of two matrices N,D whose elements belong to R, in such a way that N,D are coprime. In the familiar case where the ring R corresponds to the set of bounded-input, bounded-output (BIBO)-stable rational transfer functions, coprimeness is equivalent to two functions not having any common zeros in the closed right half-plane including infinity. However, the notion of coprimeness extends readily to discrete-time systems, distributed-parameter systems in both the continuous- as well as discrete-time domains, and to multi-dimensional systems. Thus the stable factorization approach enables one to capture all these situations within a common framework. The key result in the stable factorization approach is the parametrization of all controllers that stabilize a given plant. It is shown that the set of all stabilizing controllers can be parametrized by a single parameter R, whose elements all belong to R. Moreover, every transfer matrix in the closed-loop system is an affine function of the design parameter R. Thus problems of reliable stabilization, disturbance rejection, robust stabilization etc. can all be formulated in terms of choosing an appropriate R. This is a reprint of the book Control System Synthesis: A Factorization Approach originally published by M.I.T. Press in 1985.
Author: Raj Patel Publisher: Verso Books ISBN: 1788732154 Category : Political Science Languages : en Pages : 293
Book Description
Nature, money, work, care, food, energy, and lives: these are the seven things that have made our world and will shape its future. In making these things cheap, modern commerce has transformed, governed, and devastated Earth. In A History of the World in Seven Cheap Things, Raj Patel and Jason W. Moore present a new approach to analyzing today's planetary emergencies. Bringing the latest ecological research together with histories of colonialism, indigenous struggles, slave revolts, and other rebellions and uprisings, Patel and Moore demonstrate that throughout history, crises have always prompted fresh strategies to make the world cheap and safe for capitalism. At a time of crisis in all seven cheap things, innovative and systemic thinking is urgently required. This book proposes a radical new way of understanding-and reclaiming-the planet in the turbulent twenty-first century.
Author: Peter J. Morgan
Author: Peter J. Morgan
Author: Peter Morgan
Author: Terence Tao
Author: Mathukumalli Vidyasagar
Author: Anatole Katok
Author: Richard E. Meyer
Author: Gennaro Auletta
Author: Azaria Paz
Author: Mathukumalli Vidyasagar
Author: Raj Patel