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In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications. Product forcing, iterated forcing and proper forcing have proved powerful tools when studying the foundations of mathematics, for instance in consistency proofs. The book is based on graduate courses though some results are also included, making the book attractive to set theorists and logicians.
Issues in Technology Theory, Research, and Application: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Ocean Technology. The editors have built Issues in Technology Theory, Research, and Application: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Ocean Technology in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Technology Theory, Research, and Application: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Nonlinear Structures & Systems, Volume 1: Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022, the first volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Experimental Nonlinear Dynamics Jointed Structures: Identification, Mechanics, Dynamics Nonlinear Damping Nonlinear Modeling and Simulation Nonlinear Reduced-Order Modeling Nonlinearity and System Identification
Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for
A rigorous mathematical problem-solving framework for analyzing the Earth’s energy resources GeoEnergy encompasses the range of energy technologies and sources that interact with the geological subsurface. Fossil fuel availability studies have historically lacked concise modeling, tending instead toward heuristics and overly-complex processes. Mathematical GeoEnergy: Oil Discovery, Depletion and Renewal details leading-edge research based on a mathematically-oriented approach to geoenergy analysis. Volume highlights include: Applies a formal mathematical framework to oil discovery, depletion, and analysis Employs first-order applied physics modeling, decreasing computational resource requirements Illustrates model interpolation and extrapolation to fill out missing or indeterminate data Covers both stochastic and deterministic mathematical processes for historical analysis and prediction Emphasizes the importance of up-to-date data, accessed through the companion website Demonstrates the advantages of mathematical modeling over conventional heuristic and empirical approaches Accurately analyzes the past and predicts the future of geoenergy depletion and renewal using models derived from observed production data Intuitive mathematical models and readily available algorithms make Mathematical GeoEnergy: Oil Discovery, Depletion and Renewal an insightful and invaluable resource for scientists and engineers using robust statistical and analytical tools applicable to oil discovery, reservoir sizing, dispersion, production models, reserve growth, and more.
Polar Ice and Global Warming in Cryosphere Regions is based on recent and past climate variabilities data gathered through satellites and spatial-temporal analysis to explain the role of global warming on cryosphere regions such as high-latitude Himalaya, Arctic and Antarctic regions, and the surrounding Southern Ocean and Arctic Ocean. Through several case studies the book describes the atmospheric processes and their interactions with high-latitude regions toward a better understanding of climate variability. Understanding cryosphere regions helps readers develop plausible models for disaster risk management and policy on different polar events. Features Presents a thorough review on climate variability over the Southern Ocean and Antarctica, and the impact of climate variability and global warming on cryosphere regions Explains how the inferred climatological environmental conditions using natural archives may shed light on climate scenarios in cryosphere regions Includes case studies on globally connected geoscientific phenomena in the Himalayan, Arctic, and Antarctic regions Discusses the use of natural archives to explain the current climate scenario in the cryosphere regions Intended for researchers, academics, and graduate students following oceanography, meteorology, or environmental studies, and those working on projects related to climate change in governmental organizations, institutions, and global NGOs, this book outlines ways in which readers can initiate plans and policies to help mitigate the effects of global warming in these regions.
Aircraft affect global climate through emissions of greenhouse gases and their precursors and by altering cirrus cloudiness. Changes in operations and design of future aircraft may be necessary to meet goals for limiting climate change. One method for reducing climate impacts involves designing aircraft to fly at altitudes where the impacts of NOx emissions are less severe and persistent contrail formation is less likely. By considering these altitude effects and additionally applying climate mitigation technologies, impacts can be reduced by 45-70% with simultaneous savings in total operating costs. Uncertainty is assessed, demonstrating that relative climate impact savings can be expected despite large scientific uncertainties. Strategies for improving climate performance of existing aircraft are also explored, revealing potential climate impact savings of 20-40%, traded for a 2% increase in total operating costs and reduced maximum range.
At the heart of process-relational theology in the tradition of Alfred North Whitehead (1861-1947) and Charles Hartshorne (1897-2000) is the rejection of coercive omnipotence and the embrace of divine persuasion as the patient and uncontrolling means by which God works with a truly self-creative world. According to Whitehead, Plato's conviction that God is a persuasive agency and not a coercive agency constitutes "one of the greatest intellectual discoveries in the history of religion." According to Hartshorne, omnipotence is a "theological mistake." What is behind these claims? Why do process-relational philosophers and theologians reject divine omnipotence? How have they justified a commitment to divine persuasion, and what kind of theoretical and practical implications are involved? Featuring contributions from key process-relational thinkers, this book situates a shift "from force to persuasion" across multiple thresholds of discourse, from philosophy and theology to spirituality and politics to pluralism, axiology, and apocalypse. It aims to reawaken attention to the operations of divine persuasion as ever-loving and inherently noncoercive, but always at risk in an open and relational universe.
This book provides a thorough investigation of the application of chaos theory and fractal analysis to computer vision. The field of chaos theory has been studied in dynamical physical systems, and has been very successful in providing computational models for very complex problems ranging from weather systems to neural pathway signal propagation. Computer vision researchers have derived motivation for their algorithms from biology and physics for many years as witnessed by the optical flow algorithm, the oscillator model underlying graphical cuts and of course neural networks. These algorithms are very helpful for a broad range of computer vision problems like motion segmentation, texture analysis and change detection. The contents of this book include chapters in biological vision systems, foundations of chaos and fractals, behavior of images and image sequences in phase space, mathematical measures for analyzing phase space, applications to pre-attentive vision and applications to post-attentive vision. This book is intended for graduate students, upper division undergraduates, researchers and practitioners in image processing and computer vision. The readers will develop a solid understanding of the concepts of chaos theory and their application to computer vision. Readers will be introduced to a new way of thinking about computer vision problems from the perspective of complex dynamical systems. This new approach will provide them a deeper understanding of the various phenomena present in complex image scenes.