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Combinatorial Problems and Exercises
2nd Edition
L. Lovász
English
The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book.Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random walks on graphs and their relations to eigenvalues, expansion properties and electrical resistance. In various chapters the author found lines of thought that have been extended in a natural and significant way in recent years. About 60 new exercises (more counting sub-problems) have been added and several solutions have been simplified.
Theory of Convex Structures
1st Edition
Volume 50
M.L.J. van de Vel
English
Presented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is not restricted to the context of vector spaces. Classical concepts of order-convex sets (Birkhoff) and of geodesically convex sets (Menger) are directly inspired by intuition; they go back to the first half of this century. An axiomatic approach started to develop in the early Fifties. The author became attracted to it in the mid-Seventies, resulting in the present volume, in which graphs appear side-by-side with Banach spaces, classical geometry with matroids, and ordered sets with metric spaces. A wide variety of results has been included (ranging for instance from the area of partition calculus to that of continuous selection). The tools involved are borrowed from areas ranging from discrete mathematics to infinite-dimensional topology.Although addressed primarily to the researcher, parts of this monograph can be used as a basis for a well-balanced, one-semester graduate course.
Handbook on the Physics and Chemistry of Rare Earths
1st Edition
Volume 16
English
The first chapter focuses on one aspect of one of the most stimulating topics in the whole of lanthanide science: the dual valence state elements Ce, Pr and Tb (valences of 3 and 4) and Sm, Eu, Tm and Yb (valences of 2 and 3). The authors bring us up to date on the status of our knowledge of valence fluctuation and heavy fermion 4f systems as gleaned from neutron scattering experiments. The major topics include cerium-based valence fluctuation systems, cerium-based heavy fermion materials and ytterbium-based materials. The remaining quarter of the chapter deals with samarium-, europium- and thulium-based systems.The next chapter deals with the thermal conductivity of rare earth containing materials and is the first major review on this topic. A great deal of information can be obtained on the electrical and magnetic nature of these solids, because of the varied response of the thermal conductivity to long range magnetic order, spin glass behavior, heavy fermions and Kondo lattices, crystalline electric fields, and superconductivity in metallic systems. The thermal conductivity of insulators and semiconductors is also reviewed.The third and fourth chapters deal with special classes of materials rather than measuring techniques as found in the first two chapters and the last one of this volume. The authors discuss the chemistry, structure, electrical, magnetic and thermal behaviors, spectroscopic (vibrational, ultraviolet-visible and Mössbauer) properties, and luminescence of pyrochlores.The longest chapter in this book deals with the crystal structures of approximately 100 of the ˜225 known minerals. These minerals were grouped into five classes based on the types of anionic groups found in the various structures. Within each class the minerals are arranged by the sizes of the anionic groups (isolated groups, chains, sheets or plates, and three-dimensional frameworks). The chapter is well illustrated with drawings of the structures and anion coordination polyhedra around the rare earth ion.The last chapter is concerned with appearance potential spectroscopy (APS), which measures the probability for electronic excitation of a core level as a function of the incident electron energy. This is a technique which in the future may be accepted as a popular analytical tool for the material characterization of surfaces.
Topological Rings
1st Edition
Volume 178
S. Warner
English
This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included.The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.
Work with Display Units
1st Edition
Volume 92
H. Luczak + 2 more
English
The most significant articles from each of the fields represented at the conference on Work with Display Units 1992 are presented in this volume. Such topics are:• The newest occupational health research results, partially backed by extensive epidemiological studies, concerning radiation, eye fatigue, stressors and diseases of the musculoskeletal apparatus and the medical surveillance of workers with display units.• Ergonomic studies pertaining to design improvements.• Support of the human operator by intelligent user surfaces and interfaces, demonstrated by experimental results.• The latest developments in input devices including virtual reality as well as multi-media, multi-screen and multi-language human computer interaction.• Concepts of group work and organizational stress in combination with its psychophysical and psychophysiological evaluation, especially the problem of stress-strain regulation, adaptation and long-term effects on recovery and recreation.• Discussion of hypertext and hypermedia as well as applications of computer aided techniques for knowledge acquisition, knowledge structuring and knowledge use for decisions and working processes in different contexts.• New organizational concepts such as Chaos Theory and new methods of work design in industry such as Kansei Engineering.• Discussion of the International Standardization and EC regulations.
Foundations of Perceptual Theory
1st Edition
Volume 99
S.C. Masin
English
Historical analysis reveals that perceptual theories and models are doomed to relatively short lives. The most popular contemporary theories in perceptual science do not have as wide an acceptance among researchers as do some of those in other sciences. To understand these difficulties, the authors of the present volume explore the conceptual and philosophical foundations of perceptual science. Based on logical analyses of various problems, theories, and models, they offer a number of reasons for the current weakness of perceptual explanations. New theoretical approaches are also proposed. At the end of each chapter, dicussants contribute to the conclusions by critically examining the authors' ideas and analyses.
Adaptive User Interfaces
Principles and Practice
1st Edition
Volume 10
M. Schneider-Hufschmidt + 2 more
English
The area of intelligent and adaptive user interfaces has been of interest to the research community for a long time. Much effort has been spent in trying to find a stable theoretical base for adaptivity in human-computer interaction and to build prototypical systems showing features of adaptivity in real-life interfaces. To date research in this field has not led to a coherent view of problems, let alone solutions. A workshop was organized, which brought together a number of well-known researchers in the area of adaptive user interfaces with a view todevelop a coherent view of the results accomplished in the fieldorganize basic ideas which might lead to a more general methodology for adaptivity in order to overcome the problem of specialized, non-generalizable solutions, anddiscuss possible areas for future research in the field and to define criteria for the selection of the most promising directions of such research.The results of the workshop are presented in this volume. The authors have collected papers from the participants which describe both their research and their views on questions which were dealt with during the workshop. A state-of-the-art report and taxonomy for the field of adaptive interfaces and a discussion summary are also included in this volume.
Projective Differential Geometry of Submanifolds
1st Edition
Volume 49
M.A. Akivis + 1 more
English
In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations.Grad... students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables.
Handbook of Magnetic Materials
1st Edition
Volume 7
K.H.J. Buschow
English
Volume 7 of the Handbook of Magnetic Materials provides an overview of some of the most exciting topics in magnetism today.Firstly, a substantial step forward in the understanding of metallic magnetism has been reached by means of electronic band structure calculation. Progress in this area has been made not only due to the availability of high speed computing machines but also due to sophistication in the computational methodology. Two chapters are devoted to this subject, one of which is devoted to the elements and the other dealing primarily with 4f and 5f systems, including examples of the large group of intermetallic compounds. In both chapters the authors have concentrated on explaining the physics behind these band calculations. The chapters are written in a manner understandable to scientists having no experience with band calculations.Thin film technology has become a key issue in high density magnetic and magneto-optical recording and will be dealt with in future volumes of the Handbook. The present volume introduces the field with a chapter on the magnetism of ultrathin transition metal films, describing the richness in novel magnetic phenomens that has been encountered in the past few years in these materials. Of equal interest are the novel magnetic phenomena observed when magnetic moments are incorporated in a semiconducting matrix. A comprehensive description of these materials is found in the chapter on diluted magnetic semiconductors. A separate chapter is devoted to the progress made in the field of heavy fermions and valence fluctuations, emphasis being placed on the important results obtained by means of neutron scattering. A detailed review of the progress made in the field of rare earth based intermetallic compounds in combination with 3d transition metals completes this multifaceted volume.
Quantum Control and Measurement
1st Edition
H. Ezawa + 1 more
English
This book presents the latest results in the most fundamental field of quantum state preparation and control. At this unique conference researchers, both from the academic and industrial world, presented their work. A variety of crucial experiments under controlled, novel conditions, and theoretical checks from novel points of view are reported. Highlighted are new schemes for quantum interference, single particle behaviour, gravitational waves, electron holography and semiconductor microlasers. Containing all the recent results available in the field, this volume points the direction for further experimental and theoretical work in the foundations of physics.

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