Multiple Forcing


Book Description

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.




Fast Track to Forcing


Book Description

For those who wonder if the forcing theory is beyond their means: no. Directions to research in forcing are given.




Proper and Improper Forcing


Book Description

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the fifth publication in the Perspectives in Logic series, studies set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning and avoiding the metamathematical considerations. No prior knowledge of forcing is required. The book will enable a researcher interested in an independence result of the appropriate kind to have much of the work done for them, thereby allowing them to quote general results.




Space Division Multiple Access for Wireless Local Area Networks


Book Description

This volume proposes novel transmission techniques that achieve multi-path mitigation, through orthogonal frequency-domain processing, in combination with a high bandwidth efficiency, through space division multiple access. It also pays special attention to the real-world problems encountered when integrating core detection algorithms into a complete system.




European Glacial Landscapes


Book Description

European Glacial Landscapes: The Holocene presents the current state of knowledge on glacial landscapes of Europe and nearby areas over the Holocene to deduce the influence of atmospheric and oceanic currents and the insolation forcing variability and volcanic activity on Holocene paleoclimates, the existence of asynchronies in the timing of occurrence of glacier expansion and shrinkage during the Holocene, time lags between the identification of oceanic and atmospheric changes and those occurring in glacial extension during the Holocene, the role of Holocene glaciers on the climate of Europe, and on sea level variability, and the delimitation of landscapes that need special protection. Students, academics and researchers in Geography, Geology, Environmental Sciences, Physics and Earth Science departments will find this book provides novel findings of all the major European Regions in a single publication, with updated information about Holocene glacial geomorphology and paleo-climatology and clear figures that model the landscapes covered. Provides a synthesis and summary of glacial processes in Europe over the Holocene period Features research from experts in palaeo-climatology, palaeo-oceanography and palaeo-glaciology Includes access to a companion website with an interactive map, photos of glacial features, and geospatial data related to European Glacial Landscapes




Improve Your Chess Calculation


Book Description

Calculation is key to winning chess games. Converting your chess knowledge into concrete moves requires calculation and precise visualization. The bad news: calculation is hard work. You cannot rely on feeling or intuition – you will have to turn on your brainpower. The good news: you can improve your calculation skills by training. Set up a position on a chessboard and try to solve exercises without moving the pieces! Grandmaster Ramesh RB is the perfect coach to awaken your chess brain and feed you precisely the right exercises. ‘After only a month of intensive training with Ramesh, I could sense a seismic shift in both the precision of my calculation as well as my general level of sharpness,’ says GM Daniel Naroditsky. GM Ramesh is one of the world’s most successful coaches. He has trained many of India’s top talents at all stages of their development on their journey to become International Masters and Grandmasters. Ramesh understands what mistakes players can make while calculating. He knows that the best move in a specific position may be the opposite of what your intuition is urging you to play. And he serves you the exercises to correct these misconceptions and start finding the right solutions. Every chess player will benefit from the hundreds of exercises in this book. Coach Ramesh will take your calculation skills from a club player’s level to grandmaster level.




Mathematical Geoenergy


Book Description

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.




Orbital Forcing and Cyclic Sequences


Book Description

Classically orbital cycles have been recognized in pelagic and lacustrine sequences characterized by quiet sedimentation, not disturbed by tectonics. Hoiwever, there is now increasing recognition that orbital cycles do influence climate and oceanography in general terms. There is also increasing acceptance of the possibility at least that the effect should be felt over large parts of the Earth's surface and that orbital cycles may well leave signs in other sedimentary environments that are commonly considered to be dominated by tectonics and eustasy. Containing thirty-one papers from a symposium held at the International Sedimentological Congress in Nottingham in 1990, this volume spans a range of topics from the astronomical theory behind orbital forcing, to field studies dealing with a broad range of sedimentary environments, and to modelling and simulation. State-of-the-art research papers. International expert authorship. The latest research in the highly topical subject of orbital forcing.




Inverse Problems and Zero Forcing for Graphs


Book Description

This book provides an introduction to the inverse eigenvalue problem for graphs (IEP-$G$) and the related area of zero forcing, propagation, and throttling. The IEP-$G$ grew from the intersection of linear algebra and combinatorics and has given rise to both a rich set of deep problems in that area as well as a breadth of “ancillary” problems in related areas. The IEP-$G$ asks a fundamental mathematical question expressed in terms of linear algebra and graph theory, but the significance of such questions goes beyond these two areas, as particular instances of the IEP-$G$ also appear as major research problems in other fields of mathematics, sciences and engineering. One approach to the IEP-$G$ is through rank minimization, a relevant problem in itself and with a large number of applications. During the past 10 years, important developments on the rank minimization problem, particularly in relation to zero forcing, have led to significant advances in the IEP-$G$. The monograph serves as an entry point and valuable resource that will stimulate future developments in this active and mathematically diverse research area.




Engineering Turbulence Modelling and Experiments - 2


Book Description

Today understanding turbulence is one of the key issues in tackling flow problems in engineering. Powerful computers and numerical methods are now available for solving flow equations, but the simulation of turbulence effects, which are nearly always important in practice, are still at an early stage of development. Successful simulation of turbulence requires the understanding of the complex physical phenomena involved and suitable models for describing the turbulence momentum, heat and mass transfer. The 89 papers, including 5 invited papers, in this volume present and discuss new developments in the area of turbulence modelling and measurements, with particular emphasis on engineering-related problems. The high standard of the contributions on the developing and testing of turbulent models attests to the world-wide interest this domain is currently attracting from researchers.