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Beyond its identification with the second law of thermodynamics, entropy is a formidable tool for describing systems in their relationship with their environment. This book proposes to go through some of these situations where the formulation of entropy, and more precisely, the production of entropy in out-of-equilibrium processes, makes it possible to forge an approach to the behavior of very different systems. Whether for dimensioning structures; influencing parameter variability; or optimizing power, efficiency, or waste heat reduction, simulations based on entropy production offer a tool that is both compact and reliable. In the case of systems marked by complexity, it appears to be the only way. In that sense, realistic optimization can be carried out, integrating within the same framework both the system and all the constraints and boundary conditions that define it. Simulations based on entropy give the researcher a powerful analytical framework that crosses the disciplines of physics and links them together.
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All of us like to think that our actions and reactions are a result of logical thought processes, but the fact is that suggestion influences our thinking a great deal more than logic. Consciously or unconsciously, our feelings about almost everything are largely molded by ready-made opinions and attitudes fostered by our mass methods of communication. Self-hypnosis is a highly suggestible state wherein the individual can direct suggestions to himself. It is a powerful tool in any therapeutic process, and highly motivated subjects can parallel the success of hetero-hypnosis through their own efforts. Self-hypnosis can be used as a palliative agent and can even afford lasting results in many areas of the organism. Self-hypnosis can alleviate distressing symptoms, substitute strong responses for weak responses, help overcome bad habits, create good habits and help one's power of concentration. The total personality is eventually changed to the point where it can function adequately in an increasingly difficult environment.
In 1900, David Hilbert asked whether each locally euclidean topological group admits a Lie group structure. This was the fifth of his famous 23 questions which foreshadowed much of the mathematical creativity of the twentieth century. It required half a century of effort by several generations of eminent mathematicians until it was settled in the affirmative. These efforts resulted over time in the Peter-Weyl Theorem, the Pontryagin-van Kampen Duality Theorem for locally compact abelian groups, and finally the solution of Hilbert 5 and the structure theory of locally compact groups, through the combined work of Andrew Gleason, Kenkichi Iwasawa, Deane Montgomery, and Leon Zippin. For a presentation of Hilbert 5 see the 2014 book “Hilbert’s Fifth Problem and Related Topics” by the winner of a 2006 Fields Medal and 2014 Breakthrough Prize in Mathematics, Terence Tao.It is not possible to describe briefly the richness of the topological group theory and the many directions taken since Hilbert 5. The 900 page reference book in 2013 “The Structure of Compact Groups” by Karl H. Hofmann and Sidney A. Morris, deals with one aspect of compact group theory. There are several books on profinite groups including those written by John S. Wilson (1998) and by Luis Ribes and Pavel Zalesskii (2012). The 2007 book “The Lie Theory of Connected Pro-Lie Groups” by Karl Hofmann and Sidney A. Morris, demonstrates how powerful Lie Theory is in exposing the structure of infinite-dimensional Lie groups.The study of free topological groups initiated by A.A. Markov, M.I. Graev and S. Kakutani, has resulted in a wealth of interesting results, in particular those of A.V. Arkhangelʹskiĭ and many of his former students who developed this topic and its relations with topology. The book “Topological Groups and Related Structures” by Alexander Arkhangelʹskii and Mikhail Tkachenko has a diverse content including much material on free topological groups. Compactness conditions in topological groups, especially pseudocompactness as exemplified in the many papers of W.W. Comfort, has been another direction which has proved very fruitful to the present day.
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Islam in the Post-Secular Society: Religion, Secularity and the Antagonism of Recalcitrant Faith critically examines the unique challenges facing Muslims in Europe and North America. From the philosophical perspective of the Frankfurt School’s critical theory, this book attempts not only to diagnose the current problems stemming from a marginalization of Islam in the secular West, but also to offer a proposal for a Habermasian discourse between the religious and the secular. By highlighting historical examples of Islamic and western rapprochement, and rejecting the ‘clash of civilization’ thesis, the author attempts to find a ‘common language’ between the religious and the secular, which can serve as a vehicle for a future reconciliation.
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This book is about the pattern of settlement and ecology of the Nuaulu, a group of sedentary swidden cultivators and hunters of southcentral Seram (Eastern Indonesia). It has three inter-related aims: to describe and account for nuaulu settlement; to outline and exemplify a suitable method of assessing the fine inter-action of cultural and ecological variables in small scale communities; and to explore the usefulness of a generative form of analysis in this respect.