Generalizes the Le cycles and numbers to the case of hyper surfaces inside arbitrary analytic spaces. This book defines the Le-Vogel cycles and numbers, and prove that the Le-Vogel numbers control Thom's $a_f$ condition. It describes the relationship between the Euler characteristic of the Milnor fibre and the Le-Vogel numbers.
This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface. The Lê cycles and their multiplicities - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The Lê numbers control many topological and geometric properties of such non-isolated hypersurface singularities. This book is intended for graduate students and researchers interested in complex analytic singularities.
The new edition of INTERMEDIATE ALGEBRA, 9e, International Edition is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. The new edition has been thoroughly updated with a new interior design and other pedagogical features that make the text both easier to read and easier to use. Known for its clear writing and an engaging, accessible approach that makes algebra relevant, INTERMEDIATE ALGEBRA, 9e, International Edition helps students to develop problem-solving skills and strategies that they can use in their everyday lives. The new edition welcomes two new co-authors Rosemary Karr and Marilyn Massey who along with David Gustafson have developed a learning plan to help students succeed in Intermediate Algebra and transition to the next level in their coursework.The authors have developed an acute awareness of students' approach to homework and present a learning plan keyed to new Learning Objectives and supported by a comprehensive range of exercise sets that reinforces the material that students have learned setting the stage for their success.
Generalizes the Le cycles and numbers to the case of hyper surfaces inside arbitrary analytic spaces. This book defines the Le-Vogel cycles and numbers, and prove that the Le-Vogel numbers control Thom's $a_f$ condition. It describes the relationship between the Euler characteristic of the Milnor fibre and the Le-Vogel numbers.
The BBC's Jazz Book of the Year for 2008. Few jazz musicians have had the lasting influence or attracted as much scholarly study as John Coltrane. Yet, despite dozens of books, hundreds of articles, and his own recorded legacy, the "facts" about Coltrane's life and work have never been definitely established. Well-known Coltrane biographer and jazz educator Lewis Porter has assembled an international team of scholars to write The John Coltrane Reference, an indispensable guide to the life and music of John Coltrane. The John Coltrane Reference features a a day-by-day chronology, which extends from 1926-1967, detailing Coltrane's early years and every live performance given by Coltrane as either a sideman or leader, and a discography offering full session information from the first year of recordings, 1946, to the last, 1967. The appendices list every film and television appearance, as well as every recorded interview. Richly illustrated with over 250 album covers and photos from the collection of Yasuhiro Fujioka, The John Coltrane Reference will find a place in every major library supporting a jazz studies program, as well as John Coltrane enthusiasts.
This title is the second volume in a four volume series on the cemeteries of Jackson and Sandy Ridge Townships in Union County, North Carolina. It contains information on 144 cemeteries and 27,524 graves.
A biography of one of Canada's greatest artists, lavishly illustrated and based on years of research by a leading historian. David Milne (1882-1952) is recognized as one of the most innovative and original artists of his generation.
This preeminent book in the field of Neurology has been extensively updated and expanded by 70 leading authorities, providing a single, encyclopedic summary the scientific advances and new clinical practices that can be immediately considered for your patients. It brings together nearly the entire spectrum of motor disorders and Neurology into one convenient resource to aid in a comprehensive evaluation, diagnosis, distinction, and treatment of various disorders. Additionally, by using the perspectives of different subspecialties, the book also provides a comprehensive yet concise account of any disorder with motor manifestations. This new edition now includes the following content and features: Edited by David S. Younger, MD, a highly respected practitioner and researcher, with scholarly chapters by leaders in the field and more international authors than other texts. Up-to-date articles on highly changing subjects related to Neurogenetics. Chapters on Neurorehabilitation – coverage not usually found in other neurological textbooks. Advances in Alzheimer Disease, Parkinson Disease, Amyotophic Lateral Sclerosis. Both adult and pediatric topics in one book. High quality figures of neuroimaging and neuropathology.
Contrary to popular mythology, the designs of favorable products and successful systems do not appear suddenly, or magically. This second edition of Engineering Design demonstrates that symbolic representation and related problem-solving methods, offer significant opportunities to clarify and articulate concepts of design to lay a better framework for design research and design education. Artificial Intelligence (AI) provides a substantial body of material concerned with understanding and modeling cognitive processes. This book adopts the vocabulary and a paradigm of AI to enhance the presentation and explanation of design. It includes concepts from AI because of their explanatory power and their utility as possible ingredients of practical design activity. This second edition has been enriched by the inclusion of recent work on design reasoning, computational design, AI in design, and design cognition, with pointers to a wide cross section of the current literature.
This major new study uses vivid accounts of encounters between Chinese and Japanese people living at the margins of empire to elucidate Sino-Japanese relations in the nineteenth and early twentieth centuries. Each chapter explores mobility in East Asia through the histories of often ignored categories of people, including trafficked children, peddlers, 'abducted' women and a female pirate. These stories reveal the shared experiences of the border populations of Japan and China and show how they fundamentally shaped the territorial boundaries that defined Japan's imperial world and continue to inform present-day views of China. From Meiji-era treaty ports to the Taiwan Strait, South China, and French Indochina, the movements of people in marginal locations not only destabilized the state's policing of geographical borders and social boundaries, but also stimulated fantasies of furthering imperial power.
In the tradition of The First Urban Christians by Wayne Meeks, this book explores the relationship between the earliest Christians and the city environment. Experts in classics, early Christianity, and human geography analyze the growth, development, and self-understanding of the early Christian movement in urban settings. The book's contributors first look at how the urban physical, cultural, and social environments of the ancient Mediterranean basin affected the ways in which early Christianity progressed. They then turn to how the earliest Christians thought and theologized in their engagement with cities. With a rich variety of expertise and scholarship, The Urban World and the First Christians is an important contribution to the understanding of early Christianity.
Echinoderms are now considered as a biological and geological model that underlies researches of primary importance. The extent of the contributions made by the International Echinoderm Conferences to various fields of research is attested by the scope covered by presentation at the international conferences. These proceedings contain the complete papers or abstracts of all the presentations and posters presented at the eighth International Echinoderm Conference, held in Dijon, France in September, 1994. Coverage includes: general; extinct classes; crinoids; asteroids; ophiuroids; holothuroids; and echinoids.
A compilation of 45 African-American cemeteries in Jackson and Sandy Ridge Townships in Union Co., NC, with eight surrounding townships, in North and South Carolina.
This book presents an overview of Shiga toxin-producing E. coli (STEC), with in-depth coverage of key areas such as recent Shiga toxin-related poisonings in Europe and the US, the structure, production, and mechanism of action of Shiga toxin, and current methods of detection. The globalization of food production has introduced new risk factors and intensified existing hazards, complicating the assurance of food safety. Foodborne illness outbreaks, such as those related to STEC, are becoming more common and more dangerous. The threat that these bacterial toxins pose to the food supply is magnified by the frequent occurrence and severity of Shiga toxin-caused disease. As a result, STEC and their toxins remain a primary concern in food safety. This review serves as a key resource for scientists in the field and public health and regulatory officials charged with maintaining food safety. This book also looks to the future of treatment of Shiga toxin-associated disease, specifically the translation of lab bench science into clinical therapeutic strategies.
Exploring the chromosomal imbalance (aneuploidy) theory of cancer, this volume describes how cancer is initiated and why progression takes years to decades. It clarifies why cancer cells often become drug resistant, provides objective, quantitative measures for detecting cancer and monitoring its progression, and suggests non-toxic strategies of cancer therapy and prevention. The book posits that the autocatalyzed progression of aneuploidy is carcinogenesis. The clarity and unifying simplicity of the theory of chromosomal imbalance has the potential to fundamentally alter the course of cancer research, prevention, diagnosis and treatment.
This volume introduces the study of 144 cemeteries in Jackson and Sandy Ridge Townships, Union Co., NC, and the surrounding areas. Over 27,524 graves are included.
Utilizing research on networked struggles in both the 18th-century Atlantic world and our modern day, Resistance, Space and Political Identities: The Making of Counter-Global Networks challenges existing understandings of the relations between space, politics, and resistance to develop an innovative account of networked forms of resistance and political activity. Explores counter-global struggles in both the past and present—including both the 18th-century Atlantic world and contemporary forms of resistance Examines the productive geographies of contestation Foregrounds the solidarities and geographies of connection between different place-based struggles and argues that such solidarities are essential to produce more plural forms of globalization
This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface. The Lê cycles and their multiplicities - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The Lê numbers control many topological and geometric properties of such non-isolated hypersurface singularities. This book is intended for graduate students and researchers interested in complex analytic singularities.
Overview Part I. Algebraic Preliminaries: Gap Sheaves and Vogel Cycles: Introduction Gap sheaves Gap cycles and Vogel cycles The Le-Iomdine-Vogel formulas Summary of Part I Part II. Le Cycles and Hypersurface Singularities: Introduction Definitions and basic properties Elementary examples A handle decomposition of the Milnor fibre Generalized Le-Iomdine formulas Le numbers and hyperplane arrangements Thom's $a_f$ condition Aligned singularities Suspending singularities Constancy of the Milnor fibrations Another characterization of the Le cycles Part III. Isolated Critical Points of Functions on Singular Spaces: Introduction Critical avatars The relative polar curve The link between the algebraic and topological points of view The special case of perverse sheaves Thom's $a_f$ condition Continuous families of constructible complexes Part IV. Non-Isolated Critical Points of Functions on Singular Spaces: Introduction Le-Vogel cycles Le-Iomdine formulas and Thom's condition Le-Vogel cycles and the Euler characteristic Appendix A. Analytic cycles and intersections Appendix B. The derived category Appendix C. Privileged neighborhoods and lifting Milnor fibrations References Index.
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