The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 3rd edition, again numerous corrections and improvements have been made and the text has been updated. Content Lattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes. Readership Graduate Students in Mathematics and Computer Science Mathematicians and Computer Scientists About the Author Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany
In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. With several new exercises.
The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory.Das Ziel der Codierungstheorie ist der Entwurf eines effektiven Transformierungssystems für Informationen. Die mathematische Behandlung führt zu bestimmten endlichen Strukturen: fehlerkorrigierende Codes. Überraschenderweise stellt sich heraus, daß Zusammenhänge, die für den Entwurf solcher Codes interessant sind, eng mit Problemen, die zuvor und unabhängig davon in der Reinen Mathematik studiert wurden, verwandt sind. Dieses Buch handelt von einem Beispiel für eine solche Verwandtschaft: die von Codes und Gittern. Gitter werden in der Zahlentheorie und in der Zahlengeometrie studiert. Viele Probleme in bezug auf Codes haben ihr Gegenstück in Gittern und Kugelpackungen.
This volume focuses on the modeling of cognition, and brings together contributions from psychologists and researchers in the field of cognitive science. The shared platform of this work is to advocate a dynamical systems approach to cognition. Several aspects of this approach are considered here: chaos theory, artificial intelligence and Alife models, catastrophe theory and, most importantly, self-organization theory or synergetics. The application of nonlinear systems theory to cognitive science in general, and to cognitive psychology in particular, is a growing field that has gained further momentum thanks to new contributions from the science of robotics. The recent development in cognitive science towards an account of embodiment, together with the general approach of complexity theory and dynamics, will have a major impact on our psychological understanding of reasoning, thinking and behavior.
At the dawn of the information age, a proper understanding of information and how it relates to matter and energy is of utmost importance for the survival of civilisation. Yet, attempts to reconcile information concepts underlying science and technology with those en vogue in social science, humanities, and arts are rather rare. This book offers a new approach, departing from fragmented information concepts.Many academics refrain from undergoing unifications, as most undertakings are reductionistic. This book contends that it is the noble task of an as-yet-to-be-developed science of information to go one step in the direction of a unified theory of information without falling back into neither reduction nor anthropomorphisation.To be able to succeed in an ambitious task like this, the book advocates the application of complex systems theory and its philosophical underpinnings. Information needs to be interpreted in terms of self-organisation to do justice to the richness of its manifestations. The way the book does so will provide the reader with a deep insight into a basic feature of our world.The following are discussed in the volume: A Science of Information; A New Way of Thinking; Praxio-Onto-Epistemology; Evolutionary Systems Design; Evolutionary Systems Ontology; Evolutionary Systems Methodology; Capurro's Information Concept Trilemma; A Multi-Stage Model of Evolutionary Types of Information: Pattern Formation, Code-Making, and Constituting Sense; A Triple-C Model of Systemic Functions of Information: Cognising, Communicating, and Co-Operating; Nine Categories of Information Capabilities: Reflectivity (physical), Psyche (biotic), Consciousness (human); Connectivity (physical), Signalability (biotic), Languageability (human); Cohesiveness (physical), Coherency (biotic), Communitarity (human); Nine Categories of Information: Response (physical), Flexible Response (biotic), Reflexion (human); Correspondences (physical), Signals (biotic), Symbolic Acts (human); Assemblage (physical), Assignment (biotic), Association (human); A Unified Theory of Information for, about, and by means of the Information Society.
Modern diagnostic imaging and operative approaches have witnessed significant improvements in our times. Computerassisted methods are in use in all microsurgical fields. Neuronavigation, novel stereotactic methods, endoscopic procedures, magnetic resonance imaging, ultrasound and the progress in pre- and intraoperative epilepsy diagnostics must be mentioned in particular in this connection. However, the insights of neuroanatomy and neurophysiology have not become obsolete thereby, on the contrary: such knowledge is imperative and a prerequisite for all neurosurgeons, nowadays more than ever before. Otherwise, excellent modern approaches are liable to fall into discredit if microanatomical aspects are neglected. The goal of this book is two-fold: first, to guide the resident towards a fruitful application of anatomical basics in visualizing and operative techniques. Second, to draw attention to as many anatomical norm variants as possible to forestall complications during surgery. Standard methods, such as the pterional approach, often confront the surgeon with a range of anatomical variants.
• Hundreds of photos--many of them rare--of Tiger tanks and their crews • Color illustrations by Jean Restayn focus on markings, camouflage, and insignia • Inventories and timelines for each unit In this follow-up to Tigers in Combat I (0-8117-3171-5), Wolfgang Schneider turns his attention to the Tiger tanks of the Waffen-SS and the Wehrmacht's "named" units, such as the Großdeutschland Division, Company Hummel, and Tiger Group Meyer. Based on combat diaries, the text tells the history of each unit, but most of the book is devoted to photos of the tanks and the men who manned them. It offers as unique and comprehensive a look at these lethal machines as is possible decades after World War II.
Highly recommended. . . . This is an important book in putting the burgeoning field of sociodynamics on a solid footing."—Journal of Artificial Societies and Social Simulation This text deals with general modelling concepts in the social sciences, their applications, and their mathematical methods. The author's well-organized approach offers a clear, coherent introduction to terminology, approaches, and goals in modelling. Appropriate for advanced undergraduates and graduate students, it requires a solid background in algebra and calculus. The three-part treatment begins by addressing general modelling concepts, the second part provides applications, and the third discusses mathematical method. Topics include population dynamics, group interaction, political transitions, evolutionary economics, and urbanization. Guiding students through a series of practical applications that illustrate the methods' potential scope, the text concludes with a detailed look at mathematical methods.
The author describes in his unique style the anatomical variants of the brain and skull. This atlas is a continuation of his last work on "Neuronavigation and Neuroanatomy". Most anatomical reference volumes show a large number of common and rare variations. This atlas concentrates on well known and little known variants which are especially important for the clinicians, in particular the neurosurgeons and the radiologists. The variants have been grouped after areas of trepanation. The author presents also a number of so far unknown variants gathered from his personal theoretical and clinical experience of 50 years. Exact knowledge of anatomical variations which the surgeon may encounter helps to plan operations and to avoid unexpected complications. Variants of no clinical relevance, even rather common ones, have not been included.
In this book, first published in 1987, Wolfgang Mieder follows the intriguing trail of some of the best known pieces of folk literature, tracing them from their roots to modern uses in advertising, journalism, politics, cartoons, and poetry. He reveals both the remarkable adaptability of these tales and how each variation reflects cultural and historical changes. Fairy tales, legends, folk songs, riddles, nursery rhymes, and proverbs are passed from generation to generation, changing both in form and meaning with each use. This book will be of interest to students of literature.
From the Preface In the story of punishment, the institutions described in this monograph hold a significant place, yet their role in shaping the history of prisons has not hitherto been explored by any American or English historian of institutions. In vain do we look for even a mention of them in works like George Ives' A History of Penal Methods or in the older pioneer writings of E. C. and F. H. Wines. With one or two exceptions, even the many textbooks of criminology published in the United States in the last two decades ignore them. This is understandable when we consider that except for brief and cursory references in rather inaccessible Continental works of the eighteenth century, the "rediscovery" of the Amsterdam houses of correction did not occur until 1898, when Robert von Hippel published his splendid article about them in the Zeitschrift für die gesamte Strafrechtswissenschaft. Hippel established once for all the contribution of the Dutch municipalities of the late sixteenth and early seventeenth centuries to the rise of correctional imprisonment. It is largely to Hippel's study, which came to the author's notice nearly twenty years ago, that he owes an abiding interest in the history of punishment. Many scholars abroad were equally inspired by it, and a number of monographic studies of local German penal institutions by Hippel's own students at Göttingen resulted from it. Hallema's excellent researches into the history of the Dutch houses of correction might never have been made without the stimulus of Hippel's investigations. Were it not for the wealth of new data uncovered in the last forty years and the absence of any adequate description of the Amsterdam houses of correction in the English language, this monograph might appear to be a mere threshing of old straw. The reasons just offered are believed sufficient justification, however, for writing their story anew. It has been a pleasant PREFACE task even though the author has been unable to do full justice to it. Perhaps everyone who attempts to seize a portion of the pulsating life of a past era feels the same disappointment. Nevertheless, this monograph is presented in the hope that it will prove of interest to penologists at least and will demonstrate that the history of punishment is well worth exploration. T.S. Philadelphia, April 1944
An abridged and translated edition of two of Wolfgang Ernst’s major works, representing the ambitious claim of a comprehensive knowledge-oriented analysis of media tempor(e)alities.
In the twenty-first century the basic questions of ethics are no longer the abstract terms of ethical theory, but the concrete and burning issues related to the influence of life sciences, the impact of a globalized economy, and the consequences of present decisions for the future of humankind. Ethics: The Fundamental Questions of Our Lives analyzes twenty ethical issues that address education and culture, labor and economy, the environment and sustainability, democracy and cosmopolitanism, peace and war, and life and death. Each chapter describes a concrete example showing the relevance of the fundamental ethical question, then provides an explanation of how one can think through possible responses and reactions. Huber emphasizes the connections between personal, professional, and institutional ethics and demonstrates how human relationships lie at the center of our ethical lives. His aim is to articulate a theology of what he calls "responsible freedom" that transcends individualistic self-realization and includes communal obligations.
The Pentecostal Manifestos series aims to speak for and to a rising, outward-looking generation of Pentecostal scholarship. Written by both established and newly emerging scholars, the various "manifesto" volumes are to be creative statements, marked by rigorous theological scholarship, reflecting a distinctly Pentecostal engagement with wider themes and concerns in Christian thought today. --
In a wide arc from the Paleolithic to the present day, this book explores the changing structure of human experience and its impact on the dynamics of cultures, civilizations, and political ideas. The main thesis is a paradigm shift: the structure of human experience is not a universal constant but changes over time. Looking at the entire range of human history, there are a total of nine transformations, beginning with conscious perception and imagination in the Paleolithic and ending, for the time being, in modern times with the discovery of the unconscious. In between, this book explores six more transformations that took place in different regions and at different times, which include a sense of order, self-reflection, the eye of reason, spiritual experience, as well as the experience of creativity and of consciousness. As such, The History of Experience presents both a cross-cultural and comparative theory of experience and cultural dynamics, and an exploration of rich materials from East and West. This book is of great use to upper-level undergraduates, postgraduates, and scholars interested in the relationship between history, human experience, culture, and political order.
Our studies of aesthetics and knowledge have long tended to privilege the visual - at the expense, Wolfgang Ernst argues, of the aural. 'Sonic Time Machines' aims to correct that, presenting a striking new approach to theorising sound that investigates its split existence: as a temporal effect in a techno-cultural context and as a source of knowledge and information. Ernst creates a new term for the concept at the heart of the book, "sonicity," a flexible and powerful term that allows him to consider sound with all its many physical, philosophical, and cultural valences.
Social Media is fast becoming a key area of linguistic research. This highly accessible guidebook leads students through the process of undertaking research in order to explore the language that people use when they communicate on social media sites. This textbook provides: An introduction to the linguistic frameworks currently used to analyse language found in social media contexts An outline of the practical steps and ethical guidelines entailed when gathering linguistic data from social media sites and platforms A range of illustrative case studies, which cover different approaches, linguistic topics, digital platforms, and national contexts Each chapter begins with a clear summary of the topics covered and also suggests sources for further reading to supplement the initial discussion and case studies. Written with an international outlook, Researching Language and Social Media is an essential book for undergraduate and postgraduate students of Linguistics, Media Studies and Communication Studies.
Western rationalism-nature, of course, and genesis-was Max Weber's dominant historical interest. It was the grand theme of his two world historical studies, Economy and Society and The Economic Ethics of the World Religions. His studies of the relationships among economy, polity, law, and religion are lasting scholarly achievements. In this book Wolfgang Schluchter presents the most systematic analysis and elaboration ever attempted of Weber's sociology as a developmental history of the West.
Opening to Omnilateralism After a century of western-inspired multi-lateralism, its much criticised 75-years old stronghold, the UN, needs a new narrative: omni-lateralism. The right vehicle is omnibus - for and by all -, firstly, to widen the way for input of more ideas and good practices of non-Western origin, and secondly, to include non-state actors as legitimate stakeholders in global governance. Some trends already signal an opening towards omnilateralism: enhancing global governance in the COP by adding Eastern understanding of cycles in nature to protect the environment (e.g. in circular economies) and a wider appreciation of ‘holism’ beyond the rather linear individualistic thinking of Western societies; also accountable groups of civil society - more trusted than officials driven by narrow national interest - increasingly enrich deliberations about climate change and other global problems that need global solutions. These require East-West and North-South cooperation as currently obvious in the urgent cross-border exchanges among experts to combat the pandemic and save lives and livelihood worldwide. Globalisation has elevated millions out of poverty. However, narrow-minded politicians still claim national ‘sovereignty’ and parochial interests against global solutions for the common good while the Westphalian ‘nation’ is becoming a historic aberration. Almost all governments nowadays claim democracy, but respect for its principles is falling. Democracy must adapt to each level of governance, from local, national, regional to global. More direct democracy may suit the directly informed local stage. The higher the stage and the wider the impact, the more expertise and responsibility with all stakeholders is needed to reach the common global good, i.e. omnilaterally.
Since about 1915 integration theory has consisted of two separate branches: the abstract theory required by probabilists and the theory, preferred by analysts, that combines integration and topology. As long as the underlying topological space is reasonably nice (e.g., locally compact with countable basis) the abstract theory and the topological theory yield the same results, but for more compli cated spaces the topological theory gives stronger results than those provided by the abstract theory. The possibility of resolving this split fascinated us, and it was one of the reasons for writing this book. The unification of the abstract theory and the topological theory is achieved by using new definitions in the abstract theory. The integral in this book is de fined in such a way that it coincides in the case of Radon measures on Hausdorff spaces with the usual definition in the literature. As a consequence, our integral can differ in the classical case. Our integral, however, is more inclusive. It was defined in the book "C. Constantinescu and K. Weber (in collaboration with A.
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.