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The Selected Models of the Mesostructure of Composites
This book presents the role of mesostructure on the properties of composite materials. A complex percolation model is developed for the material structure containing percolation clusters of phases and interior boundaries. Modeling of technological cracks and the percolation in the Sierpinski carpet are described. The interaction of mesoscopic interior boundaries of the material, including the fractal nature of interior boundaries, the oscillatory nature of it interaction and also the stochastic model of the interior boundaries’ interaction, the genesis, structure, and properties are discussed. One of part of the book introduces the percolation model of the long-range effect which is based on the notion on the multifractal clusters with transforming elements, and the theorem on the field interaction of multifractals is described. In addition small clusters, their characteristic properties and the criterion of stability are presented.
Systems, Decision and Control in Energy IV
The concept of "energy" includes methods for obtaining and using various types of energy for the needs of human society. Energy is one of the foundations for the development of modern society. The effectiveness of solving social, economic and technical problems, as well as the anthropogenic transformations of nature, is largely determined by energy production and the scale of energy production.Modern energy is not a separate industry, but it penetrates widely into other areas, in particular, chemical, transport, aerospace, construction, metallurgy, engineering, agriculture, etc. The energy sector is based on complex technical systems that are multicomponent, spatially distributed systems tha...
Alexander of Aphrodisias: On the Soul
Around 200 AD, the greatest defender and interpreter of Aristotle within his school, Alexander of Aphrodisias, composed his own book On the Soul, partly following the pattern of Aristotle's. In the first half, translated in this volume, he discusses the soul as the form of the body, and the idea of parts or powers that constitute the soul of living things, including the two lowest powers: nutrition and perception. In the second half, translated in Part II, he discusses perception, representation, desire, understanding and - a notion emphasised by the Stoics - the governing part of the soul. He takes the soul to consist of these powers, which supervene on the mixture of the body's elemental i...
Reviving the Ancient Faith
This pathbreaking book by Richard T. Hughes chronicles the history of Churches of Christ in America from their inception in the early nineteenth century to the 1990s, taking full account of the complexity of their origins, the mainstream of their heritage for almost two hundred years, and their voices of protest and dissent, especially in the twentieth century. From The Critics "Hughes...here provides the definitive history of the Churches of Christ from their beginnings in the Stone-Campbell movement of the early 19th century through the split with the Disciples of Christ at the turn of the century and all the way into the 1990s. Central to this richly detailed and highly readable narrative...
Functional Integration
The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic co...
Hill and Adamson's The Fishermen and Women of the Firth of Forth
Photographs taken at Newhaven.
Wadge Degrees and Projective Ordinals
The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Wadge Degrees and Projective Ordinals is the second of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes. Focusing on the subjects of 'Wadge Degrees and Pointclasses' (Part III) and 'Projective Ordinals' (Part IV), each of the two sections is preceded by an introductory survey putting the papers into present context. These four volumes will be a necessary part of the book collection of every set theorist.
Kinetic Boltzmann, Vlasov and Related Equations
Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory. This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. Reviews the whole field from the beginning to today Includes practical applications Provides classical and modern (semi-analytical) solutions
