Continuing the (neo-)classical tradition of von Thünen, Launhardt, Weber, Palander, and Lösch this book offers a fresh approach to the location of industries and other economic activities, of market areas, spatial price distribution, locational specialization, urban and transportation systems, and spatial interaction in general. It uses elementary economic reasoning supported by simple mathematical models, some classical, some new. The mathematical methods are presented in numbered Mathematical Notes. The author has been active in this field since 1950.
This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.
The common theme in the essays of this book is the emergence and sur vival of spatial structures. How are economic structures created in an otherwise homogeneous environment? The answer must be sought through an analysis of economic forces that operate in the two dimensional contin uum of space. Ultimately these forces emanate from the fundamental fact that spatial concentration is needed to reap increasing returns to scale. i. e. to gather the fruits of the division of labour. Adam Smith's dictum: "The division of labour is limited by the size of the market" poses a fundamental question to spatial economic analysis: just how do markets operate when extended over distances? Although these essays were written at different times they all relate to the problem of economic structures generated in spatial markets. They approach the phenomena of spatial order from different angles, but it is hoped in a connected and logically consistent way. We thank the editors and publishers of the Annals of Regional Science for permission to reprint parts of the articles "On the Shape and Size of Market Areas" and "Population Growth and Dispersal" to be published this year. It is our pleasure to thank Mrs. I. Strohlein for drawing several figures and Dr. H. Mittermeier for compiling the index. Last not least we are grateful to Mrs. B. Schwarzwalder for her patient job of typing and retyping this manuscript.
Economic theory is growing not only in depth but in the breadth of its application as well. This study encroaches in part on a field normally considered as the domain of Sociology. But the methods applied here are those of mathematical economics. It has not been my ambition to make this as general and as mathe matically demanding as possible. On the contrary, I wanted to present as simple an argument as possible throughout. I wish to thank Brown University for granting me a Sabbatical leave in the Fall of 1977-78 in the course of which I wrote the first draft of this monograph. I am also grateful to the late Professor Jacob Marschak and to Professor Arthur Geoffrion for sponsoring me as a Visiting Scholar of the Western Management Science Institute, Graduate School of Management, UCLA for the months of November and December 1977. The Western Management Science Institute proved to be an ideal environment for writing: protective and stimulating at the same time. I have benefitted specifically from comments received as a result of presenting Chapters IV and V in the Marschak Colloquium on December 2, 1977, in particular by Professors Intri11igator and Spiro. My greatest indebtedness is to Jacob Marschak to whom I owe my awareness of and interest in the economic theory of organizations. He was my teacher, my director and supervisor, and my fatherly friend since 1950. It is thus entirely fitting that this work should be dedicated to his memory.
Experts in operations research and developers of software application systems have been treading separate paths for many years. It is urgently necessary to reset this course so that the demanding requirements of variousCIM concepts can be realized. This is specially relevant for computer-based stock management. Both authors, with a number of years of practical experience behind them, have written this book with this objective in mind. The book shows how modern inventory control can be rationally structured with the help of OR. Two aspects are given importance:1) the necessary mathematical derivations are completely explained in detail so that the reader will be able to optimally handle a given situation with the help of the methods learned in this book, and 2) aside from the models, strong emphasis is given on numerical methods. Suitable algorithms are thoroughly explained for the more important cases.
Solid-solution equilibria of marine evaporites are important in a wide range of science and technology. However, the data had not yet been summarized in a form that is at the same time comprehensive and permits to understand how the quinary seawater system builds up from its bounding systems. Thus the goal of the present volume is at the same time scientific and educational. The understanding of solid-solution equilibria of the various systems with respect to dissolution, precipitation and transformation of solids, their application to the evolution of brines, and a fast access to data is a necessary requirement for any modelling, especially in Geoscience. Another goal is to show the avail ability of data. Unfortunately, though solubility data are numereous there are substantial gaps, especially with respect to high temperatures. But also up to about 100 0 C data are missing for some of the systems so that they cannot be described entirely. Based on the present volume further work on the solubili ties of the minerals of marine evaporites may be promoted. The data have been viewed and collected over several years by the first author. The second author entered the preparation of the volume when it was realized that besides graphics and tables a fast access to data was required. Although both authors are responsible for the whole volume, responsibility is weighted somewhat differently for the various parts.
Dynamic Programming is the analysis of multistage decision in the sequential mode. It is now widely recognized as a tool of great versatility and power, and is applied to an increasing extent in all phases of economic analysis, operations research, technology, and also in mathematical theory itself. In economics and operations research its impact may someday rival that of linear programming. The importance of this field is made apparent through a growing number of publications. Foremost among these is the pioneering work of Bellman. It was he who originated the basic ideas, formulated the principle of optimality, recognized its power, coined the terminology, and developed many of the present applications. Since then mathe maticians, statisticians, operations researchers, and economists have come in, laying more rigorous foundations [KARLIN, BLACKWELL], and developing in depth such application as to the control of stochastic processes [HoWARD, JEWELL]. The field of inventory control has almost split off as an independent branch of Dynamic Programming on which a great deal of effort has been expended [ARRoW, KARLIN, SCARF], [WIDTIN] , [WAGNER]. Dynamic Programming is also playing an in creasing role in modem mathematical control theory [BELLMAN, Adap tive Control Processes (1961)]. Some of the most exciting work is going on in adaptive programming which is closely related to sequential statistical analysis, particularly in its Bayesian form. In this monograph the reader is introduced to the basic ideas of Dynamic Programming.
The studies described here were carried out in the Neuroregul ation Group, Department of Physiology, University of Leiden, the Netherlands. Over the last decade, this group, in close collaboration with the Department of Neurosurgery of the Academic Hospital of Leiden, has studied the development of the central nervous system from a neuroanatomical as well as a clinical perspective. During this period, the expression of several morphore gulators in the developing rat spinal cord was extensively investigated. Parallel studies focused on the development of the spinal cord fiber systems, which was studied by means of the intrauterine use of neuronal tracers. The main goal of these studies was to extend our knowledge about the (normal) generation of the spinal cord and to contribute to the under standing of clinical problems related to regeneration and degeneration in the mammalian central nervous system. The studies on morphoregulators, in particular, appeared to benefit two different scientific areas. Firstly, the correlation between morphoregulator expression patterns and known anatomy contributed to our knowledge about spinal cord development. Secondly, the correlation between morpho regulator expression patterns and known developmental processes may help to understand their precise function(s). This volume of Advances in Anatomy, Embryology and Cell Biology presents these particular studies on the development of the rat spinal cord performed over the last decade. As well as integrating the results of the tracer studies, this volume also provides an update on the development of the rat spinal cord.
LIPIDAT is a convenient compilation of thermodynamic data and bibliographic information on lipids. Over 11,000 records in 15 information fields are provided. The book presents tabulations of all known mesomorphic and polymorphic phase transition types, temperatures, and enthalpies for synthetic and biologically derived lipids in dry, partially hydrated, and fully hydrated states. It also includes the effect of pH, protein, drugs, salt, and metal ion concentration on these thermodynamic values. Methods used in making the measurements and the experimental conditions are reported. Bibliographic information includes a complete literature reference and list of authors. The book will be an indispensable reference for biophysicists, chemical engineers, pharmaceutical and cosmetic researchers, dermatologists, nutritionists, biochemists, physiologists, food scientists, and fats and oils chemists.
This open access book discusses advances in semantic interoperability for materials modelling, aiming at integrating data obtained from different methods and sources into common frameworks, and facilitating the development of platforms where simulation services in computational molecular engineering can be provided as well as coupled and linked to each other in a standardized and reliable way. The Virtual Materials Marketplace (VIMMP), which is open to all service providers and clients, provides a framework for offering and accessing such services, assisting the uptake of novel modelling and simulation approaches by SMEs, consultants, and industrial R&D end users. Semantic assets presented include the EngMeta metadata schema for research data infrastructures in simulation-based engineering and the collection of ontologies from VIMMP, including the ontology for simulation, modelling, and optimization (OSMO) and the VIMMP software ontology (VISO).
Did Mrs Bach write some of our greatest musical works? It's not often that one of the world's greatest composers is accused of plagiarising his wife's work, but an Australian musical expert has cast doubt on whether Johann Sebastian Bach wrote all his own material. Conductor Martin Jarvis believes Bach's cello suites were composed by the German musician's second wife, Anna Magdalena Bach (1701-60). He takes us on an intriguing journey of speculation and discovery to uncover the truth and rewrite some musical wrongs. When ABC 'AM' broke the story, it was wired all around the world and created a sensation in music circles. Category: MUSIC / BIOGRAPHY
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