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In recent years, there has been an upsurge of interest in using techniques drawn from probability to tackle problems in analysis. These applications arise in subjects such as potential theory, harmonic analysis, singular integrals, and the study of analytic functions. This book presents a modern survey of these methods at the level of a beginning Ph.D. student. Highlights of this book include the construction of the Martin boundary, probabilistic proofs of the boundary Harnack principle, Dahlberg's theorem, a probabilistic proof of Riesz' theorem on the Hilbert transform, and Makarov's theorems on the support of harmonic measure. The author assumes that a reader has some background in basic real analysis, but the book includes proofs of all the results from probability theory and advanced analysis required. Each chapter concludes with exercises ranging from the routine to the difficult. In addition, there are included discussions of open problems and further avenues of research.
Polymer composites represent materials of great and of continuously growing importance. Their potential for application appears to be limitless. They have been the subject of numerous studies both at academic and industrial levels. Much progress has been made in the incisive formulation of composites; sophisticated methods of property evaluation have been developed in the past decade and many, largely empirical solutions have been proposed to resolve the problem of their long-term performance under typical conditions of use (i. e. the use of silane or titane coupling agents to enhance adhesion within composite materials). Assuredly one of the most essential factors in the performance of these systems is the condition of the interface and interphase among the constituents of a given system. It has become clear that it is the interface/interphase, and the interactions which take place in this part of a system, which determine to a significant degree the initial properties of the material. In order to achieve leadership in the formulation and application of polymer composites, it is evident that in depth understanding of interfacial and interphase phenomena becomes a prerequisite.
This publication tells the story of the Gordon Research Conferences (GRC), a series of scientific meetings that play a major role in advancing new theories and developing applications. Firsthand accounts from 80 of the world's leading scientists offer a unique lens through which to view and understand the wide range of disciplines and fields that make up today's scientific endeavor. Also included in the book is a time line, as well as essays that provide historical perspective on the development of the GRC organization.
The report covers the state of the art of metal-removal operations for titanium and its alloys. It describes the methods currently employed for conventional machining, grinding, electrolytic, and chemical machining processes. The precautions which should be taken to avoid troubles resulting from the characteristics typical of titanium are pointed out. Ten machining, two grinding, two cutting, and two unconventional metal-removal operations are discussed separately. In other sections, the mechanics of chip-forming processes, the response to machining variables, costs, and precautions desirable from the standpoint of safety are discussed.
Since the first symposium on Recent Advances in Adhesion, held September, 1971 in Washington, D. C. , this Division of the American Chemical Society has continuously sponsored several symposia on adhesion and adhesives. The chemists have gradually realized the importance of adhesion in various fields of science and technology. During these years, the science of adhesion has steadily grown along with progress in surface science and fracture mechanics. Moreover, new adhesives have been invented and applied in actual structures, for example, structural and aerospace adhesives. In response to socio-economic demands, new forms of adhesives have been introduced to combat the problems of pollution ...
The report covers the state of the art of adhesive bonding of titanium and its alloys and is oriented toward the interests of the designer and the manufacturing engineer. In it are described typical joint designs, surface preparation procedures, types of adhesives used for bonding, environmental factors as they influence choice among available adhesives, processing techniques, representative applications of adhesive bonding, and available test results on adhesive-bonded titanium alloys. (Author).