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The Bochner-Martinelli Integral and Its Applications
The Bochner-Martinelli integral representation for holomorphic functions or'sev eral complex variables (which has already become classical) appeared in the works of Martinelli and Bochner at the beginning of the 1940's. It was the first essen tially multidimensional representation in which the integration takes place over the whole boundary of the domain. This integral representation has a universal 1 kernel (not depending on the form of the domain), like the Cauchy kernel in e . However, in en when n > 1, the Bochner-Martinelli kernel is harmonic, but not holomorphic. For a long time, this circumstance prevented the wide application of the Bochner-Martinelli integral in multidimensional com...
Chernobyl
As the debate about the environmental cost of nuclear power and the issue of nuclear safety continues, a comprehensive assessment of the Chernobyl accident, its long-term environmental consequences and solutions to the problems found, is timely. Although many books have been published which discuss the accident itself and the immediate emergency response in great detail, none have dealt primarily with the environmental issues involved. The authors provide a detailed review of the long-term environmental consequences, in a wide range of ecosystems, many of which are only now becoming apparent. They also highlight responses and counter-measures to combat the environmental consequences and discuss health, social, psychological and economic impacts on the human population as well as the long-term effects on biota.
Numerical Methods for the Solution of Ill-Posed Problems
Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.
Methods for Solving Operator Equations
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Theory of Linear Ill-Posed Problems and its Applications
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the book considers ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been made in the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.
Handbook of Theoretical Atomic Physics
The aim of this book is to present highly accurate and extensive theoretical Atomic data and to give a survey of selected calculational methods for atomic physics, used to obtain these data. The book presents the results of calculations of cross sections and probabilities of a broad variety of atomic processes with participation of photons and electrons, namely on photoabsorption, electron scattering and accompanying effects. Included are data for photoabsorption and electron scattering cross-sections and probabilities of vacancy decay formed for a large number of atoms and ions. Attention is also given to photoionization and vacancy decay in endohedrals and to positron-atom scattering. The ...
Computation of Atomic and Molecular Processes
This book presents numerical methods for solving a wide range of problems associated with the structure of atoms and simplest molecules, and their interaction with electromagnetic radiation, electrons, and other particles. It introduces the ATOM-M software package, presenting a unified software suite, written in Fortran, for carrying out precise atomic and molecular numeric calculations. The book shows how to apply these numerical methods to obtain many different characteristics of atoms, molecules, and the various processes within which they interact. In an entirely self-sufficient approach, it teaches the reader how to use the codes provided to build atomic and molecular systems from the g...
Photonic, Electronic And Atomic Collisions - Proceedings Of The Xxiv International Conference
This volume contains contributions covering a wide range of subjects in the area of photonic, electronic and atomic collisions. These include the collisions of heavy particles and electrons with atoms, molecules and clusters; the coherent control of reaction dynamics using lasers and electromagnetic fields with molecules, clusters and liquids; recent experimental progress in the synthesis of antihydrogen; the interaction of solar winds with cometary atmospheres, and the physical interpretation of reactions in biological systems./a
The Proteins Pt 5
The Proteins, Third Edition, Volume V discusses the unifying concepts of protein chemistry. This volume contains three chapters that cover specific protein classes, namely, glycoproteins and cyclopeptides. Chapter 1 deals first with the purification and characterization of the N- and O-linked glycosidic groups of glycoproteins. This chapter then describes the oligosaccharide catabolism and the roles of lysosomal hydrolases, and of functions of glycoproteins as mediated by their oligosaccharide groups. Chapter 2 begins with a detailed review of ultraviolet and visible spectroscopic techniques along with their basic principles, as well as theoretical calculations of peptide spectra. This chapt...
Polarization Bremsstrahlung
This book introduces and reviews both theory and applications of polarizational bremsstrahlung, i.e. the electromagnetic radiation emitted during collisions of charged particles with structured, thus polarizable targets, such as atoms, molecules and clusters. The subject, following the first experimental evidence a few decades ago, has gained importance through a number of modern applications. Thus, the study of several radiative mechanisms is expected to lead to the design of novel light sources, operating in various parts of the electromagnetic spectrum. Conversely, the analysis of the spectral and angular distribution of the photon emission constitutes a new tool for extracting informatio...
