Physics of Stochastic Processes

How Randomness Acts in Time

Author: Reinhard Mahnke,Jevgenijs Kaupuzs,Ihor Lubashevsky

Publisher: John Wiley & Sons

ISBN: 3527626107

Category: Science

Page: 447

View: 7242

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Based on lectures given by one of the authors with many years of experience in teaching stochastic processes, this textbook is unique in combining basic mathematical and physical theory with numerous simple and sophisticated examples as well as detailed calculations. In addition, applications from different fields are included so as to strengthen the background learned in the first part of the book. With its exercises at the end of each chapter (and solutions only available to lecturers) this book will benefit students and researchers at different educational levels. Solutions manual available for lecturers on www.wiley-vch.de
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Physics of the Human Mind

Author: Ihor Lubashevsky

Publisher: Springer

ISBN: 3319517066

Category: Science

Page: 380

View: 4015

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This book tackles the challenging question which mathematical formalisms and possibly new physical notions should be developed for quantitatively describing human cognition and behavior, in addition to the ones already developed in the physical and cognitive sciences. Indeed, physics is widely used in modeling social systems, where, in particular, new branches of science such as sociophysics and econophysics have arisen. However, many if not most characteristic features of humans like willingness, emotions, memory, future prediction, and moral norms, to name but a few, are not yet properly reflected in the paradigms of physical thought and theory. The choice of a relevant formalism for modeling mental phenomena requires the comprehension of the general philosophical questions related to the mind-body problem. Plausible answers to these questions are investigated and reviewed, notions and concepts to be used or to be taken into account are developed and some challenging questions are posed as open problems. This text addresses theoretical physicists and neuroscientists modeling any systems and processes where human factors play a crucial role, philosophers interested in applying philosophical concepts to the construction of mathematical models, and the mathematically oriented psychologists and sociologists, whose research is fundamentally related to modeling mental processes.
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God and Randomness

Author: Thomas R. McFaul,Al Brunsting

Publisher: Wipf and Stock Publishers

ISBN: 1532638981

Category: Religion

Page: 200

View: 6160

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Most of us have experienced the impact of randomness in our lives not only as individuals but in our interactions with others as well. In God and Randomness, which is a sequel to our 2014 publication God Is Here to Stay: Science, Evolution, and Belief in God, we describe the connection between randomness and God and how this connection has permeated our universe from the start. We cover several areas that include personal stories, the micro and macro sources of world events, the origins of our cosmos and solar system, the emergence of human mindfulness and choice, major episodes of the twentieth century, the future, and the quest for fairness. In the course of examining these topics, we identify how current scientific research is consistent with our speculation of how God influences our lives in the presence of all this randomness. We conclude that the random events affecting us may originate in other dimensions that are inaccessible to us and that God is actively at work in the chaos and randomness that pervades our lives and our world.
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Phenomenology of Space and Time

The Forces of the Cosmos and the Ontopoietic Genesis of Life: Book One

Author: Anna-Teresa Tymieniecka

Publisher: Springer Science & Business

ISBN: 3319020153

Category: Philosophy

Page: 508

View: 5417

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This book celebrates the investigative power of phenomenology to explore the phenomenological sense of space and time in conjunction with the phenomenology of intentionality, the invisible, the sacred, and the mystical. It examines the course of life through its ontopoietic genesis, opening the cosmic sphere to logos. The work also explores, on the one hand, the intellectual drive to locate our cosmic position in the universe and, on the other, the pull toward the infinite. It intertwines science and its grounding principles with imagination in order to make sense of the infinite. This work is the first of a two-part work that contains papers presented at the 62nd International Congress of Phenomenology, The Forces of the Cosmos and the Ontopoietic Genesis of Life, held in Paris, France, August 2012. It features the work of scholars in such diverse disciplines as biology, anthropology, pedagogy, and psychology who philosophically investigate the cosmic origins of beingness. Coverage in this first part includes: Toward a New Enlightenment: Metaphysics as Philosophy of Life, Transformation in Phenomenology: Husserl and Tymieniecka, Biologically Organized Quantum Vacuum and the Cosmic Origin of Cellular Life, Plotinus "Enneads" and Self-Creation, The Creative Potential of Humor, Transcendental Morphology – A Phenomenological Interpretation of Human and Non-Human Cosmos, and Cognition and Emotion: From Dichotomy to Ambiguity. ​
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Mathematical Models of Information and Stochastic Systems

Author: Philipp Kornreich

Publisher: CRC Press

ISBN: 1351835041

Category: Mathematics

Page: 376

View: 4964

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From ancient soothsayers and astrologists to today’s pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge. Mathematical Models of Information and Stochastic Systems shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. It explains how this known quantity of information is used to derive a system’s probabilistic properties. After an introduction, the book presents several basic principles that are employed in the remainder of the text to develop useful examples of probability theory. It examines both discrete and continuous distribution functions and random variables, followed by a chapter on the average values, correlations, and covariances of functions of variables as well as the probabilistic mathematical model of quantum mechanics. The author then explores the concepts of randomness and entropy and derives various discrete probabilities and continuous probability density functions from what is known about a particular stochastic system. The final chapters discuss information of discrete and continuous systems, time-dependent stochastic processes, data analysis, and chaotic systems and fractals. By building a range of probability distributions based on prior knowledge of the problem, this classroom-tested text illustrates how to predict the behavior of diverse systems. A solutions manual is available for qualifying instructors.
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Basic Principles and Applications of Probability Theory

Author: Valeriy Skorokhod

Publisher: Springer Science & Business Media

ISBN: 9783540546863

Category: Mathematics

Page: 282

View: 8933

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The book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of probability and its applications, preparing them for more advanced and specialized works.
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