Methods of Randomization in Experimental Design

Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and

Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as Serre's long exact sequence, Quillen's theorems A and B, Grothendieck's smooth/proper base change formulas, and the construction of the Kan–Quillen model structure on simplicial sets - and develops an alternative to a significant part of Lurie's definitive reference Higher Topos Theory, with new constructions and proofs, in particular, the Yoneda Lemma and Kan extensions. The strong emphasis on homotopical algebra provides clear insights into classical constructions such as calculus of fractions, homotopy limits and derived functors. For graduate students and researchers from neighbouring fields, this book is a user-friendly guide to advanced tools

Health-centred research has changed hugely over the last ten years, from the importance of computing software to the NHS becoming more involved in research. The expectations of grant-awarding bodies, ethics committees and publishers have evolved and increased in many senses. This new edition is designed for trainee clinicians, not only those preparing for membership of the Royal College of Obstetricians and Gynaecologists (MRCOG) but also higher degree candidates and aspiring clinical academics. Chapter authors with extensive expertise make the path to embarking on research direct, straightforward and most importantly, fun and interesting, particularly aiming to support those who trained clinically and are now undertaking a research project or beginning an academic career. There remains no single book with so much relevant information gathered in a single, succinct volume. This edition now covers the wide spectrum of modern research methods for all specialities, with five supplementary

This Companion offers a concise and engaging introduction to the Hebrew Bible or Old Testament. Providing an up-to-date 'snapshot' of scholarship, it includes essays, specially commissioned for this volume, by twenty-three leading scholars. The volume examines a range of topics, including the historical and religious contexts for the contents of the biblical canon, and critical approaches and methods, as well as newer topics such as the Hebrew Bible in Islam, Western art and literature, and contemporary politics. This Companion is an excellent resource for students at university and graduate level, as well as for laypeople and scholars in other fields who would like to gain an understanding of the current state of the academic discussion. The book does not presume prior knowledge, nor does it engage in highly technical discussions, but it does go into greater detail than a typical introductory textbook.

This work by Sir James Frazer (1854–1941) is widely considered to be one of the most important early texts in the fields of psychology and anthropology. At the same time, by applying modern methods of comparative ethnography to the classical world, and revealing the superstition and irrationality beneath the surface of the classical culture which had for so long been a model for Western civilisation, it was extremely controversial. Frazer was greatly influenced by E. B. Tylor's Primitive Culture (also reissued in this series), and by the work of the biblical scholar William Robertson Smith, to whom the first edition is dedicated. The twelve-volume third edition, reissued here, was greatly revised and enlarged, and published between 1911 and 1915; the two-volume first edition (1890) is also available in this series. Volume 1 (1911) explores the belief that kings could harness Nature.

This work by Sir James Frazer (1854–1941) is widely considered to be one of the most important early texts in the fields of psychology and anthropology. At the same time, by applying modern methods of comparative ethnography to the classical world, and revealing the superstition and irrationality beneath the surface of the classical culture which had for so long been a model for Western civilisation, it was extremely controversial. Frazer was greatly influenced by E. B. Tylor's Primitive Culture (also reissued in this series), and by the work of the biblical scholar William Robertson Smith, to whom the first edition is dedicated. The twelve-volume third edition, reissued here, was greatly revised and enlarged, and published between 1911 and 1915; the two-volume first edition (1890) is also available in this series. Volume 12 (1915) provides a bibliography and general index to the entire third edition.

This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht–Fraïssé game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko Väänänen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications.

The rational expectations revolution and other developments in economics (notably game theory) have fundamentally altered the application of optimal control theory to economic forecasting and planning. In particular, they have shown that economic systems cannot be modelled simplistically on physical systems. However, as the authors of this volume show, these developments have greatly enhanced our understanding of how an economy functions, and now make it possible for optimal control theory to be applied much more effectively to economic modelling and planning. This book is divided into two parts. The first presents the orthodox framework but extends it to allow for multiplicative uncertainty, risk and non-linearities in the econometric model. The second part looks explicitly at the question of expectations. It provides methods by which forward-looking expectations can be treated jointly with the determination of economic policy. It also examines game-theoretic considerations - where, f

Gastric adenocarcinoma is the second most common cancer worldwide. It is usually diagnosed at a late stage and prognosis is poor; even with modern diagnostic and treatment methods the 5-year survival is only 10%. Improvements in overall patient survival can only be achieved by earlier diagnosis and by tailored therapeutic strategies based on tumor type, location and stage at presentation. This volume provides a state-of-the-art, integrated diagnostic and therapeutic approach to patient management. The role of the upper GI series, endoscopy, endoscopic ultrasound, MDCT, MRI, and PET/CT in the diagnosis, staging and follow-up of patients with gastric cancer is emphasized. The relative strengths and limitations of these diagnostic examinations will be presented in context with the most recent epidemiologic, pathologic, and therapeutic concepts regarding this tumor. With expert contributions from members of an international multidisciplinary team, this is an invaluable guide to the diagnos

Space-time coding is a technique that promises greatly improved performance in wireless networks by using multiple antennas at the transmitter and receiver. Space-Time Block Coding for Wireless Communications, first published in 2003, is an introduction to the theory of this technology. The authors develop the topic using a unified framework and cover a variety of topics ranging from information theory to performance analysis and space-time coding methods for both flat and frequency-selective fading multiple-antenna channels. The authors concentrate on key principles rather than specific practical applications, and present the material in a concise and accessible manner. Their treatment reviews the fundamental aspects of multiple-input, multiple-output communication theory, and guides the reader through a number of topics at the forefront of research and development. The book includes homework exercises and is aimed at graduate students and researchers working on wireless communication

Space-time coding is a technique that promises greatly improved performance in wireless networks by using multiple antennas at the transmitter and receiver. Space-Time Block Coding for Wireless Communications, first published in 2003, is an introduction to the theory of this technology. The authors develop the topic using a unified framework and cover a variety of topics ranging from information theory to performance analysis and space-time coding methods for both flat and frequency-selective fading multiple-antenna channels. The authors concentrate on key principles rather than specific practical applications, and present the material in a concise and accessible manner. Their treatment reviews the fundamental aspects of multiple-input, multiple-output communication theory, and guides the reader through a number of topics at the forefront of research and development. The book includes homework exercises and is aimed at graduate students and researchers working on wireless communication

The rational expectations revolution and other developments in economics (notably game theory) have fundamentally altered the application of optimal control theory to economic forecasting and planning. In particular, they have shown that economic systems cannot be modelled simplistically on physical systems. However, as the authors of this volume show, these developments have greatly enhanced our understanding of how an economy functions, and now make it possible for optimal control theory to be applied much more effectively to economic modelling and planning. This book is divided into two parts. The first presents the orthodox framework but extends it to allow for multiplicative uncertainty, risk and non-linearities in the econometric model. The second part looks explicitly at the question of expectations. It provides methods by which forward-looking expectations can be treated jointly with the determination of economic policy. It also examines game-theoretic considerations - where, f

THE SERIES: INTELLIGENT BIOMEDICAL DATA ANALYSISBy focusing on the methods and tools for intelligent data analysis, this series aims to narrow the increasing gap between data gathering and data comprehension. Emphasis is also given to the problems resulting from automated data collection in modern hospitals, such as analysis of computer-based patient records, data warehousing tools, intelligent alarming, effective and efficient monitoring. In medicine, overcoming this gap is crucial since medical decision making needs to be supported by arguments based on existing medical knowledge as well as information, regularities and trends extracted from big data sets.

A beautifully illustrated history of the many inventive, poetic, and alluring ways in which color swatches have been selected and stagedThe need to categorize and communicate color has mobilized practitioners and scholars for centuries. Color Charts describes the many different methods and ingenious devices developed since the fifteenth century by doctors, naturalists, dyers, and painters to catalog fragments of colors. With the advent of industrial society, manufacturers and merchants developed some of the most beautiful and varied tools ever designed to present all the available colors.Thanks to them, society has discovered the abundance of color embodied in a plethora of materials: cuts of fabric, leather, paper, and rubber; slats of wood and linoleum; delicate skeins of silk; careful deposits of paint and pastels; fragments of lipstick; and arrangements of flower petals. These samples shape a visual culture and a chromatic vocabulary and instill a deep desire for color. Anne Varich

To celebrate a heritage rich in unique, exuberant, and iconic design from Christian Lacroix stationery and gift, the house reintroduces some of the most beloved artwork on our most popular gift items. With over 750 pieces, the Christian Lacroix Heritage Collection Love Who You Want Set of 2 Shaped Puzzle Set features intermingling contemporary and haute couture designs of the house. Christian Lacroix puzzles are packaged in a gorgeous sturdy box with shiny spot varnish detail, perfect for gifting and storage.•Over 750 pieces, Random Cut•Spot UV on Box | Double-Sided Insert Sheet•Set of 2 Shaped Puzzles | Shrink-wrapped Box•Gold Die-Cut Foil Sticker•Box Size: 11. x 8. x 2", 292 x 203 x 51 mm

Powered by Plants explores the world of plants and how their properties are increasingly helping to shape the cutting edge of human technology and design.Following on from the incredible Invented by Animals and Built by Animals, Powered by Plants introduces us to the wondrous plants whose ingenious features have inspired innovations in human technology.Plants exhibit an incredible range of diversity in their shape, structures and how they interact with other living things and their environment. Some of this great diversity is being increasingly studied and copied, inspiring innovation in science, design, engineering, and technology.This book guides readers through a startling collection of fascinating vegetation, from towering cottonwood trees with wind power potential to slippery, meat-eating assassins of the plant world and the fast-growing aquatic plant which helps propel ships farther using less energy. Learn surprising applications and spin-offs of both exotic species including th

We discuss whole-child development, learning, and thriving through a dynamic systems theory lens that focuses on the United States and includes an analysis of historical challenges in the American public education system, including inequitable resources, opportunities, and outcomes. To transform US education systems, developmental and learning scientists, educators, policymakers, parents, and communities must apply the knowledge they have today to 1. challenge the assumptions and goals that drove the design of the current US education system, 2. articulate a revised, comprehensive definition of whole-child development, learning, and thriving that accepts rather than simplifies how human beings develop, 3. create a profound paradigm shift in how the purpose of education is described in the context of social, cultural, and political forces, including the impacts of race, privilege, and bias and 4. describe a new dynamic 'language' for measurement of both the academic competencies and the

Deliberative democrats seek to link political choices more closely to the deliberations of common citizens, rather than consigning them to speak only in the desiccated language of checks on a ballot. Sober thinkers from Plato to today, however, have argued that if we want to make good decisions we cannot entrust them to the deliberations of common citizens. Critics argue that deliberative democracy is wildly unworkable in practice. Deliberative Democracy between Theory and Practice cuts across this debate by clarifying the structure of a deliberative democratic system, and goes on to re-evaluate the main empirical challenges to deliberative democracy in light of this new frame. It simultaneously reclaims the wider theory of deliberative democracy and meets the empirical critics squarely on terms that advance, rather than evade, the debate. Doing so has important implications for institutional design, the normative theory of democracy, and priorities for future research and practice.

This concise collection of the most important international law instruments is an essential resource for all students of international law. In addition to standard instruments such as the UN Charter, human rights documents and the UN Convention on the Law of the Sea, the volume also features topics not usually included in similar collections, such as international labour instruments, the work of the G20, and bilateral and unilateral instruments. Taking a global approach, the collection incorporates American, African and Asian instruments alongside UN, EU and other international documents, to reflect the diverse nature of international law courses. The two-colour design aids student navigation through the materials, and lengthier documents such as UNCLOS and the ICC statute are presented in shortened form, making the volume concise and clear. An ideal companion for students of international law, the book is also valuable for students of international human rights law, international rela

Deliberative democrats seek to link political choices more closely to the deliberations of common citizens, rather than consigning them to speak only in the desiccated language of checks on a ballot. Sober thinkers from Plato to today, however, have argued that if we want to make good decisions we cannot entrust them to the deliberations of common citizens. Critics argue that deliberative democracy is wildly unworkable in practice. Deliberative Democracy between Theory and Practice cuts across this debate by clarifying the structure of a deliberative democratic system, and goes on to re-evaluate the main empirical challenges to deliberative democracy in light of this new frame. It simultaneously reclaims the wider theory of deliberative democracy and meets the empirical critics squarely on terms that advance, rather than evade, the debate. Doing so has important implications for institutional design, the normative theory of democracy, and priorities for future research and practice.

In the past three decades, images of undocumented immigrants pouring across the southern border have driven the immigration debate and policies have been implemented in response to those images. The Oklahoma City bombings and the tragic events of September 11, both of questionable relevance to immigration policy have provided further impetus to implement strategies that are anti-immigration in design and effect. This book discusses the major immigration policy areas - undocumented workers, the immigration selection system, deportation of aggravated felons, national security and immigration policy, and the integration of new Americans - and the author suggests his own proposals on how to address the policy challenges from a perspective that encourages us to consider the moral consequences of our decisions. The author also reviews some of the policies that have been put forth and ignored and suggests new policies that would be good for the country economically and socially.

Graduate students and researchers in astrophysics and cosmology need a solid understanding of a wide range of physical processes. This clear and authoritative book has been designed to help them to develop the necessary toolkit of theory. The book is modular in design, allowing the reader to pick and choose a selection of chapters, if necessary. It can be used alone, or in conjunction with the accompanying two volumes (covering stars and stellar systems, and galaxies and cosmology, respectively). After reviewing the basics of dynamics, electromagnetic theory, and statistical physics, the book carefully develops a solid understanding of radiative processes, spectra, fluid mechanics, plasma physics and MHD, dynamics of gravitating systems, general relativity, nuclear physics, and other key concepts. Throughout, the reader's understanding is developed and tested with problems and helpful hints. This welcome volume provides graduate students with an indispensable introduction to and refere

A thorough understanding of the form, function, and design of animals is essential to any working biologist's knowledge. In the author's view, however, this fast-growing field of study can be made much more exciting and accessible with a hands-on, practical approach. This is the view of A Practical Guide to Vertebrate Mechanics. This text, first published in 1999, can be considered an engineering book for biologists. The emphasis is on vertebrates, and each topic begins with a discussion of the underlying principles, followed immediately by practical experiments and laboratory exercises. It begins with a refresher on scaling and measurement, followed by three chapters on the mechanical properties of materials. This leads the discussion to animal materials, which serves to illustrate principles of structure and load, lubrication, physiology, metabolism, and stamina. Finally, the book puts the systems in motion, discussing terrestrial locomotion, flight, and swimming. A Practical Guide t

A thorough understanding of the form, function, and design of animals is essential to any working biologist's knowledge. In the author's view, however, this fast-growing field of study can be made much more exciting and accessible with a hands-on, practical approach. This is the view of A Practical Guide to Vertebrate Mechanics. This text, first published in 1999, can be considered an engineering book for biologists. The emphasis is on vertebrates, and each topic begins with a discussion of the underlying principles, followed immediately by practical experiments and laboratory exercises. It begins with a refresher on scaling and measurement, followed by three chapters on the mechanical properties of materials. This leads the discussion to animal materials, which serves to illustrate principles of structure and load, lubrication, physiology, metabolism, and stamina. Finally, the book puts the systems in motion, discussing terrestrial locomotion, flight, and swimming. A Practical Guide t

This ground-breaking book distills the experience of the author in dealing with problems in industry that can be solved by using the SELECT Perspective. A pragmatic component-based approach for the development of enterprise systems, the SELECT Perspective comprises a unique blend of techniques, architecture, and process. Enterprise software development presents challenges of sheer scale and complexity that continue to accelerate at a terrific pace. Businesses are becoming increasingly adaptive and are calling for software that is more and more flexible. Component technology holds the promise of solving these problems, but there are some complications. For example, many organizations continue to struggle with the challenge of integrating their legacy systems with the newer technology. The approach in this book offers a streamlined set of modeling techniques based on the Unified Modeling Language (UML); uses a serviced-based architecture that provides an overall design philosophy for reu

The SBD Dauntless and Zero-sen are two of the most recognizable and iconic aircraft of World War 2 and this illustrated study describes the fighting capabilities of both aircraft when engaged in aerial combat. The SBD Dauntless dive-bomber was a key cog in the US Navy's aerial arsenal throughout the Pacific War. Although a product of aviation design in the mid to late 1930s, the type soldiered on even as more advanced aircraft were appearing from American factories as the war progressed. Despite its classification as a dive-bomber and rather dated appearance, the SBD Dauntless could more than handle its own against the feared A6M Zero-sen -- a regular opponent, especially during the first 18 months of the campaign in the Pacific. The SBD was credited with 138 victories in aerial combat (principally in 1942), 107 of which were fighters and the rest bombers. Seven SBD units claimed five or more aerial victories, with future ace Lt(jg) John Leppla of VS-2 being credited with four victorie

As it becomes ever more expensive to purchase land for conservation purposes, it is becoming increasingly important both to manage existing sites properly, and to create new habitats. This comprehensive volume provides a pragmatic, habitat by habitat guide to conservation management, in which the prescriptions and methods are based upon sound science coupled with practical experience. For each habitat, the book guides the reader through the options and solutions, shows the problems to look out for, and gives good and bad examples of habitat management in the past. This will be a must for all practising ecologists, land managers, wardens, landscape architects and conservationists, and will provide a valuable reference for students of ecology, conservation and environmental science.

Equipped with the largest guns and heaviest armour and with the greatest displacement of any ship ever built, the Yamato proved to be a formidable opponent to the US Pacific Fleet in the Second World War. The book contains a full description of the design and construction of the battleship including wartime modifications, and a career history followed by a substantial pictorial section with rare onboard views of Yamato and her sister ship Musashi, a comprehensive portfolio of more than 1,020 perspective line artworks, 350 colour 3D views, and 30 photographs. The wreck of Musashi has been recently discovered to great excitement in Japan, renewing interest in these iconic warships.Janusz Skulski's anatomies of three renowned ships of the 20th century Japanese navy are among the most comprehensive of the Anatomy series with hundreds of meticulously researched drawings of the ships. Since their first publication he has continued to research the ships and has now produce a more definitive a

Skateparks are not only areas for sporting activity; for young people in particular, they fulfil various social functions beyond sport. David Andreu (with the help and advice of celebrity skateboarder Luka Melloni) has compiled a selection of international skateparks with a special spirit - spaces designed and built by technical teams and practising sportsmen and women. This beautiful volume reviews the most important work of the top designers of recent years, those who are leading the way in the design and conceptualisation of these special spaces.The book is a useful tool for architects, designers, landscapers, builders, urban planners and of course for all skateboarders around the world who want to keep up to date with the skateparks, ramps and pumptracks that have recently been built for their use and enjoyment.

Offering a new perspective, this textbook demystifies the operation of electric machines by providing an integrated understanding of electromagnetic fields, electric circuits, numerical analysis, and computer programming. It presents fundamental concepts in a rigorous manner, emphasising underlying physical modelling assumptions and limitations, and provides detailed explanations of how to implement the finite element method to explore these concepts using Python. It includes explanations of the conversion of concepts into algorithms, and algorithms into code, and examples building in complexity, from simple linear-motion electromagnets to rotating machines. Over 100 theoretical and computational end-of-chapter exercises test understanding, with solutions for instructors and downloadable Python code available online. Ideal for graduates and senior undergraduates studying electric machines, electric machine design and control, and power electronic converters and power systems engineerin

Adopting a balanced mix of theory, algorithms and practical design issues, this comprehensive volume explores cutting-edge applications in adaptive wireless communications and the implications these techniques have for future wireless network performance. Presenting practical concerns in the context of different strands from information theory, parameter estimation theory, array processing and wireless communication, the authors present a complete picture of the field. Topics covered include advanced multiple-antenna adaptive processing, ad hoc networking, MIMO, MAC protocols, space-time coding, cellular networks and cognitive radio, with the significance and effects of both internal and external interference a recurrent theme throughout. A broad, self-contained technical introduction to all the necessary mathematics, statistics, estimation theory and information theory is included, and topics are accompanied by a range of engaging end-of-chapter problems. With solutions available onli

Combinatorics is an area of mathematics involving an impressive breadth of ideas, and it encompasses topics ranging from codes and circuit design to algorithmic complexity and algebraic graph theory. In a highly distinguished career Béla Bollobás has made, and continues to make, many significant contributions to combinatorics, and this volume reflects the wide range of topics on which his work has had a major influence. It arises from a conference organized to mark his 60th birthday and the thirty-one articles contained here are of the highest calibre. That so many excellent mathematicians have contributed is testament to the very high regard in which Béla Bollobás is held. Students and researchers across combinatorics and related fields will find that this volume provides a wealth of insight to the state of the art.

There is a wide variety of optical instruments where the human eye forms an integral part of the overall system. This book provides a detailed description of the visual ergonomics of such instruments. The book begins with a section on image formation and basic optical components. The various optical instruments that can be adequately described using geometrical optics are then discussed, followed by a section on diffraction and interference, and the instruments based on these effects. There are separate sections devoted to ophthalmic instruments and aberration theory, with a final section covering visual ergonomics in depth. Containing many problems and solutions, this book will be of great use to undergraduate and graduate students of optometry, optical design, optical engineering, and visual science, and to professionals working in these and related fields.

This book is an undergraduate textbook for students of electrical and electronic engineering. It is written at an intermediate level, with second year students particularly in mind, and discusses analogue circuits used in various fields. Basic electronics has been omitted so that appropriate emphasis can be given to the design of the most popular and useful circuits. The contents of chapters 3, 5, 7 and 8 are not covered together by any other single textbook available on the market. Each chapter also contains a significant number of worked examples and several carefully chosen problems at various levels of difficulty. Each topic has been carefully selected, and the author concentrates on the practical details and applications of the material he covers. Both students and practising engineers alike will therefore find this book extremely useful and informative.

This book is an undergraduate textbook for students of electrical and electronic engineering. It is written at an intermediate level, with second year students particularly in mind, and discusses analogue circuits used in various fields. Basic electronics has been omitted so that appropriate emphasis can be given to the design of the most popular and useful circuits. The contents of chapters 3, 5, 7 and 8 are not covered together by any other single textbook available on the market. Each chapter also contains a significant number of worked examples and several carefully chosen problems at various levels of difficulty. Each topic has been carefully selected, and the author concentrates on the practical details and applications of the material he covers. Both students and practising engineers alike will therefore find this book extremely useful and informative.

This book is the result of discoveries made by Nivison beginning in 1979, It uses critically (without superseding) his monographs from 1983 through 2002, combined with his discoveries through 2008. Its main thrust is to show that the methods and results of the PRC “Three Dynasties Project” are invalid, and that recovering chronology before 841 BCE can be solved only by using the supposedly spurious Jinben Zhushu Jinian (“Modern Text” Bamboo Annals), combined with hypothesis that reign lengths of record were normally the years after completion of mourning for the preceding king. Part One presents resulting exact dates form the beginning of Xia, confirmed by discoveries in astronomy by D. W. Pankenier and Kevin Pang. Part Two criticizes the Three-years Dynasties Project and argues for the post-mourning hypothesis and the high antiquity of the three-years mourning institution. In Part Three, applying a discovery by E. L. Shaughnessy, the author reconstructs the first 303 bamboo strips of

How can the classical Karnatik music of South India illuminate performers' and researchers' understanding of the art music of seventeenth-century Italy, and specifically Monteverdi's operas? Both art forms attach great value to the skill of vocal ornamentation, and by exploring the singer's practice moving between them, this Element reveals how intercultural approaches can enable the reconsideration of the history of Western music from a global perspective. Using methods from historical and comparative musicology, theory and practice-based research, Charulatha Mani analyses vocal ornamentation and technique and arrives at an innovative approach to studying musics from the past. Musical practice, the author argues, is an enactment of hybridity and the artistic product of plurality. Specifically, in early modern Europe the fluid movement of musicians from the East paved the way to a plurality of musical cultures. This finding holds deep implications for diversity in and decolonisation of

The concern of these studies is with how the exercise of critical methods can be reconciled with the assumption that the Hebrew Bible is a Christian book. With Andrew of St Victor this concern is expressed as a robust, human and historical interest. William Fulke, influenced by Renaissance linguistic science, asserted that the quality of a translation from Hebrew into English is determined entirely by scholarly competence and integrity. Gregory Martin accepted the idea of an English translation with the greatest reluctance; he even rejected Fulke's demand for a return to the 'original' languages of Hebrew and Greek, and translated from the Latin Vulgate. McKane thus reviews the shifts in the Church's understanding of the nature and authority of its scriptures, particularly the Old Testament, and shows how the beginnings of the critical scholarship of modern times is connected with, and has grown out of, that change in understanding.

The concern of these studies is with how the exercise of critical methods can be reconciled with the assumption that the Hebrew Bible is a Christian book. With Andrew of St Victor this concern is expressed as a robust, human and historical interest. William Fulke, influenced by Renaissance linguistic science, asserted that the quality of a translation from Hebrew into English is determined entirely by scholarly competence and integrity. Gregory Martin accepted the idea of an English translation with the greatest reluctance; he even rejected Fulke's demand for a return to the 'original' languages of Hebrew and Greek, and translated from the Latin Vulgate. McKane thus reviews the shifts in the Church's understanding of the nature and authority of its scriptures, particularly the Old Testament, and shows how the beginnings of the critical scholarship of modern times is connected with, and has grown out of, that change in understanding.