This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types.
This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types.
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fifth publication in the Lecture Notes in Logic series, the authors give an insightful introduction to the fascinating subject of the model theory of fields, concentrating on its connections to stability theory. In the first two chapters David Marker gives an overview of the model theory of algebraically closed, real closed and differential fields. In the third chapter Anand Pillay gives a proof that there are 2א non-isomorphic countable differential closed fields. Finally, Margit Messmer gives a survey of the model theory of separably closed fields of characteristic p > 0.
This book has two chapters. The first is a modern or contemporary account of stability theory. A focus is on the local (formula-by-formula) theory, treated a little differently from in the author's book Geometric Stability Theory. There is also a survey of general and geometric stability theory, as well as applications to combinatorics (stable regularity lemma) using pseudofinite methods.The second is an introduction to 'continuous logic' or 'continuous model theory,' drawing on the main texts and papers, but with an independent point of view. This chapter includes some historical background, including some other formalisms for continuous logic and a discussion of hyperimaginaries in classical first order logic.These chapters are based around notes, written by students, from a couple of advanced graduate courses in the University of Notre Dame, in Autumn 2018, and Spring 2021.
Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.
This book asks fundamental questions about the extent to which India is participating in the global shift towards knowledge-based forms of competitiveness. It charts Indian performance and progress using a unique framework benchmarked against fourteen other countries. In the course of the analysis, critical areas for improvement are identified, and the book provides detailed and objective insights for policy-makers and researchers to facilitate change and institutional reform in India. Readers will derive a comprehensive understanding of India’s performance and prospects as it emerges as a serious global economic player. A particular feature of the work is the development of an original knowledge footprint concept that measures the extent and impact of knowledge development and diffusion domestic and internationally.The views expressed in this book are the author’s.
It is becoming increasingly common for psychiatrists to be among the first responders when disaster strikes. More than 800 psychiatrists are believed to have responded to the 9/11 attacks. The first clinical manual on the best practices for helping those affected by disaster, Disaster Psychiatry: Readiness, Evaluation, and Treatment offers an explicit and practical discussion of the evidence base for recommendations for psychiatric evaluation and interventions for disaster survivors. Disaster is defined by the World Health Organization as a severe disruption, ecological and psychosocial, that greatly exceeds a community's capacity to cope. This manual takes an "all-hazards" approach to disasters and has application to natural occurrences such as earthquakes and hurricanes; accidental technological events such as airplane crashes; and willful human acts such as terrorism. The field of disaster psychiatry is more important than ever, in response to disasters such as the Deepwater Horizon oil spill in the Gulf of Mexico and the 2010 earthquake in Haiti. Today, disaster psychiatry encompasses a wide spectrum of clinical interests, ranging from public health preparations and early psychological interventions to psychiatric consultation to surgical units and psychotherapeutic interventions to alleviate stress in children and families after school shootings, hurricanes, or civil conflict. Although disaster mental health is still a young field, research is gradually yielding methods for accurately identifying valid relationships among preexisting risk factors, postdisaster mental health problems, and effective interventions. With its practical approach to readiness, response, and intervention and its focus on evidence-based recommendations for psychiatric evaluation and interventions, Disaster Psychiatry: Readiness, Evaluation, and Treatment is an invaluable manual for educator and student alike. The manual draws on a variety of sources, including the peer-reviewed scientific literature, the clinical wisdom imparted by front-line psychiatrists and other mental health professionals, and the experiences of those who have organized disaster mental health services, including the American Psychiatric Association and Disaster Psychiatry Outreach. Each chapter provides clear and concise information and in-depth review, followed by helpful study questions and answers. This book has been developed to give professionals the knowledge they need to respond swiftly and appropriately when disaster strikes.
Given how frequently the pharmacy and healthcare industries evolve, it's critical to comprehend the laws and regulations that govern the sector. This book aims to provide a comprehensive overview of the intricate network of Indian laws, statutes, and regulations that control the practice of pharmacy. The discipline of pharmacy is governed by an extensive set of laws, guidelines, and moral principles that are essential to safeguarding the public's health and guaranteeing the responsible, efficient, and safe practice of the profession. These rules, laws, and principles are fundamental to the pharmacy industry. Each section delves deeply into the intricate legal framework that oversees the pharmacy sector, covering everything from the fundamental guidelines provided by the Pharmacy Act of 1948 to the particulars of manufacturing, marketing, and shipping medications as outlined by the Drugs and Cosmetics Act of 1940. The book gives readers a tour of regulatory organisations, demonstrating their functions and methods, such as the National Pharmaceutical Pricing Authority and the Pharmacy Council of India. Students will gain knowledge of the legal definitions and classifications of pharmaceuticals and medications, as well as the responsibilities and duties of chemists and the ethical dilemmas that arise in the practice of their profession. This book provides a thorough grasp of the moral and legal principles that underpin the pharmaceutical industry. It addresses a wide range of topics, such as drug production and distribution, consumer protection, and clinical research.
This book focusses on the different types of immunotherapeutics that are currently being used and developed for the treatment of melanoma. In recent years, immunotherapy has revolutionized the treatment of metastatic melanoma and other types of cancer. Discussing treatment options for melanoma and the success of immunotherapy along with the challenges of immunotherapy, this book covers epidemiology, susceptibility genes, and treatment recommendations from Society for Immunotherapy of Cancer, as well as immune based therapies such as aldesleukin, Intron-A, Sylatron, Yervoy, Opdivo, Keytruda, Imlygic, DC vaccines and adoptive cell therapy. The detailed information included on the key immune cells involved in anti-tumor immune response and immune-inhibitory mechanisms in tumor microenvironment will aid the understanding of tumor immunology. Both academic as well as industry-based researchers, developing novel anti-cancer therapies, will also benefit from the details of promising molecular targets and immunotherapeutic strategies under investigation. With 132 illustrations including synopsis tables for important information, over 1200 references (majority of which are openly accessible) and details of more than 150 ongoing clinical trials, this book is a valuable source of information for health care providers as well as cancer biologists interested in learning about melanoma and the significant advances made by immunotherapy.
While the caste system has been formally abolished under the Indian Constitution, according to official statistics, every eighteen minutes a crime is committed in India on a dalit-untouchable. The Persistence of Caste uses the shocking case of Khairlanji, the brutal murder of four members of a dalit family in 2006, to explode the myth that caste no longer matters. In this exposé, Anand Teltumbde locates the crime within the political economy of post-Independence India and across the global Indian diaspora. This book demonstrates how caste has shown amazing resilience - surviving feudalism, capitalist industrialization and a republican constitution - to still be alive and well today, despite all denial, under neoliberal globalization. This insightful new analysis not only provides a fascinating introduction to the issue of caste in a globalized world, but also sharpens our understanding of caste dynamics as they really exist.
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