SQL Built-In Functions And Stored Procedures

This book argues that there is no single best institutional arrangement for organizing modern societies. Therefore, the market should not be considered the "ideal and universal" arrangement for coordinating economic activity. Instead, the editors argue, the economic institutions of capitalism exhibit a large variety of objectives and tools that complement each other and cannot work in isolation. The various chapters of the book explore challenging issues in the analysis of differing institutional arrangements for coordinating economic activity, asking what logics and functions they follow and why they emerge, mature and persist in the forms they do. They conclude that any institutional arrangement has its strengths and weaknesses and that such institutions evolve according to a logic specific to each society. They also note that institutions continuously respond to changing circumstances, and are not static entities.

This book argues that there is no single best institutional arrangement for organizing modern societies. Therefore, the market should not be considered the "ideal and universal" arrangement for coordinating economic activity. Instead, the editors argue, the economic institutions of capitalism exhibit a large variety of objectives and tools that complement each other and cannot work in isolation. The various chapters of the book explore challenging issues in the analysis of differing institutional arrangements for coordinating economic activity, asking what logics and functions they follow and why they emerge, mature and persist in the forms they do. They conclude that any institutional arrangement has its strengths and weaknesses and that such institutions evolve according to a logic specific to each society. They also note that institutions continuously respond to changing circumstances, and are not static entities.

Pollution is ubiquitous in Greek tragedy: matricidal Orestes seeks purification at Apollo's shrine in Delphi; carrion from Polyneices' unburied corpse fills the altars of Thebes; delirious Phaedra suffers from a 'pollution of the mind'. This book undertakes the first detailed analysis of the important role which pollution and its counterparts - purity and purification - play in tragedy. It argues that pollution is central in the negotiation of tragic crises, fulfilling a diverse array of functions by virtue of its qualities and associations, from making sense of adversity to configuring civic identity in the encounter of self and other. While primarily a literary study providing close readings of several key plays, the book also provides important new perspectives on pollution. It will appeal to a broad range of scholars and students not only in classics and literary studies, but also in the study of religions and anthropology.

The histories of Queen Anne's Bounty, created in 1704, and the Ecclesiastical Commissioners, established in 1836, run so closely together, and their functions, until their amalgamation in 1948 as the Church Commissioners, were so similar, that it would be impossible to study them separately. In this account of their foundation and growth, which was originally published in 1964, Dr Best shows how much they had to do with the great changes in the administration and political relations of the Church of England, which transformed the Church from the virtually medieval institution it was in the early eighteenth century, to the recognizably modern one it had become by the end of the nineteenth. Although Dr Best's book is primarily a study of two ecclesiastical bodies and of the Church reform movement, it is also an important and unusual contribution to English social and political history.

This study examines the variation between children in early language development, focusing on their acquisition of the auxiliary verb. Learning auxiliary verbs and the syntactic and pragmatic functions with which they are associated is an essential component in the child's language development from an early stage. At the same time, children vary extensively in the age and stage at which auxiliaries emerge and also in the style and rate at which subsequent development takes place. Some aspects of this variation have been linked with the quality of interaction with the child's conversation partners, others with a tendency to acquire language holistically through unanalysed 'chunks'. Using data drawn both from the Bristol Longitudinal Study of Language Development and from independent case studies conducted in Wales, Dr Richards points to a number of important areas of variation between children, for example in sequence of syntactic development and in the relationship between pragmatic an

Continued fractions, studied since Ancient Greece, only became a powerful tool in the eighteenth century, in the hands of the great mathematician Euler. This book tells how Euler introduced the idea of orthogonal polynomials and combined the two subjects, and how Brouncker's formula of 1655 can be derived from Euler's efforts in Special Functions and Orthogonal Polynomials. The most interesting applications of this work are discussed, including the great Markoff's Theorem on the Lagrange spectrum, Abel's Theorem on integration in finite terms, Chebyshev's Theory of Orthogonal Polynomials, and very recent advances in Orthogonal Polynomials on the unit circle. As continued fractions become more important again, in part due to their use in finding algorithms in approximation theory, this timely book revives the approach of Wallis, Brouncker and Euler and illustrates the continuing significance of their influence. A translation of Euler's famous paper 'Continued Fractions, Observation' is

The ten years since the first edition of Operative Obstetrics have witnessed considerable changes in obstetric practice. There has been a continued increase in the rate of cesarean delivery, and the use of minimally-invasive surgery has rapidly gained popularity. Social changes affecting practice have also been significant, prompting a re-evaluation of the appropriateness of certain types of operations during pregnancy. This fully-updated edition includes chapters on cesarean delivery, birth injury, ectopic pregnancy, and common surgical complications. It features a new discussion of surgical procedures performed by non-physicians and an updated treatment of fetal surgery. The text also considers complicated and controversial subjects such as cervical insufficiency, pregnancy termination, instrumental delivery, and shoulder dystocia. Each of the four sections includes an in-depth analysis of the important ethical and legal issues underlying practice for the area in question. An expande

This book provides a synthesis of the theory of decision making and its practical application in decision analysis. Part 1 provides a detailed guide to the principles of decision theory. The authors introduce the literature on key ideas such as value theory, subjective probability theory and utility theory, and assess how these ideas, developed for individual decision makers, may apply to decision-making within organisations. Part 2 deals with the various strategies and techniques employed in decision analysis, and the application of decision theory in particular, documented cases. The authors also appraise the validity and usefulness of these procedures of decision synthesis. The book will be of interest to students and teachers of the theory and practice of decision analysis, and to psychologists, economists and operations researchers in universities and business schools; it will also be invaluable as a handbook to these and to professional managers in business and government, and to

Bruges was undoubtedly one of the most important cities in medieval Europe. Bringing together specialists from both archaeology and history, this 'total' history presents an integrated view of the city's history from its very beginnings, tracing its astonishing expansion through to its subsequent decline in the sixteenth century. The authors' analysis of its commercial growth, industrial production, socio-political changes, and cultural creativity is grounded in an understanding of the city's structure, its landscape and its built environment. More than just a biography of a city, this book places Bruges within a wider network of urban and rural development and its history in a comparative framework, thereby offering new insights into the nature of a metropolis.

Sir Victor Horsley (1857–1916) was a brilliant and pioneering neurosurgeon who also shaped the direction of clinical medicine through his work with the British Medical Association, Medical Defence Union, and General Medical Council. Before the nervous system could be imaged, Horsley operated successfully on the brain and spinal cord, and performed palliative procedures on patients dying from brain tumours. Nevertheless, he became a social pariah due to his support for nationalised health insurance, child welfare and women's rights, amongst other causes. In this fascinating biography, leading neurologist Dr Michael J. Aminoff places Horsley's life and work in the context of the society in which he lived and explores his influence on the development of neurosurgery and social policies still in effect. The many underlying themes to the book include the interplay of science and politics, and the responsibility of physicians to themselves and for the welfare of society.

Through an investigation of the violence that marked the partition of British India in 1947, this book analyses questions of history and memory, the nationalisation of populations and their pasts, and the ways in which violent events are remembered (or forgotten) in order to ensure the unity of the collective subject - community or nation. Stressing the continuous entanglement of 'event' and 'interpretation', the author emphasises both the enormity of the violence of 1947 and its shifting meanings and contours. The book provides a sustained critique of the procedures of history-writing and nationalist myth-making on the question of violence, and examines how local forms of sociality are constituted and reconstituted, by the experience and representation of violent events. It concludes with a comment on the different kinds of political community that may still be imagined even in the wake of Partition and events like it.

The societies that developed in the eastern Mediterranean during the Bronze Age produced the most prolific and diverse range of stone vessel traditions known at any time or anywhere in the world. Stone vessels are therefore a key class of artefact in the early history of this region. As a form of archaeological evidence, they offer important analytical advantages over other artefact types - virtual indestructibility, a wide range of functions and values, huge variety in manufacturing traditions, as well as the subtractive character of stone and its rich potential for geological provenancing. In this 2007 book, Andrew Bevan considers individual stone vessel industries in great detail. He also offers a highly comparative and value-led perspective on production, consumption and exchange logics throughout the eastern Mediterranean over a period of two millennia during the Bronze Age (ca.3000–1200 BC).

The societies that developed in the eastern Mediterranean during the Bronze Age produced the most prolific and diverse range of stone vessel traditions known at any time or anywhere in the world. Stone vessels are therefore a key class of artefact in the early history of this region. As a form of archaeological evidence, they offer important analytical advantages over other artefact types - virtual indestructibility, a wide range of functions and values, huge variety in manufacturing traditions, as well as the subtractive character of stone and its rich potential for geological provenancing. In this 2007 book, Andrew Bevan considers individual stone vessel industries in great detail. He also offers a highly comparative and value-led perspective on production, consumption and exchange logics throughout the eastern Mediterranean over a period of two millennia during the Bronze Age (ca.3000–1200 BC).

Ultrasonic guided waves in solid media have become a critically important subject in nondestructive testing and structural health monitoring, as new faster, more sensitive, and more economical ways of looking at materials and structures have become possible. This book will lead to fresh creative ideas for use in new inspection procedures. Although the mathematics is sometimes sophisticated, the book can also be read by managers without detailed understanding of the concepts as it can be read from a 'black box' point of view. Overall, the material presented on wave mechanics - in particular, guided wave mechanics - establishes a framework for the creative data collection and signal processing needed to solve many problems using ultrasonic nondestructive evaluation and structural health monitoring. The book can be used as a reference in ultrasonic nondestructive evaluation by professionals and as a textbook for seniors and graduate students. This work extends the coverage of Rose's earli

John William Strutt, third Baron Rayleigh (1842–1919), was an English physicist best known as the co-discoverer of the element argon, for which he received the Nobel Prize in Physics in 1904. Rayleigh graduated from Trinity College, Cambridge, in 1865 and after conducting private research was appointed Cavendish Professor of Experimental Physics in 1879, a post which he held until 1884. These highly influential volumes, first published between 1877 and 1878, contain Rayleigh's classic account of acoustic theory. Bringing together contemporary research and his own experiments, Rayleigh clearly describes the origins and transmission of sound waves through different media. This textbook was considered the standard work on the subject for many years and provided the foundations of modern acoustic theory. Volume 2 discusses theories of aerial vibrations, with discussions of experimental procedures of aerial vibrations in tubes and rectangular chambers, and the theory of resonators.

Classifications are central to archaeology. Yet the theoretical literature on the subject, both in archaeology and the philosophy of science, bears very little relationship to what actually occurs in practice. This problem has long interested William Adams, a field archaeologist, and Ernest Adams, a philosopher of science, who describe their book as an ethnography of archaeological classification. It is a study of the various ways in which field archaeologists set about making and using classifications to meet a variety of practical needs. The authors first discuss how humans form concepts. They then describe and analyse in detail a specific example of an archaeological classification, and go on to consider what theoretical generalizations can be derived from the study of actual in-use classifications. Throughout the book, they stress the importance of having a clearly defined purpose and practical procedures when developing and applying classifications.

This 1979 volume of the Handbook of Phycological Methods was the first compilation of biochemical and physiological procedures selected specifically for the experimental phycologist. Algae present unique problems to the researcher because of their diverse structure and composition, which differ significantly from those of other commonly used organisms. The book contains practical examples of processes such as photosynthesis, respiration and the transport and accumulation of ions presented by contributors who have applied these these techniques to algae. The methods are described in sufficient detail so that they may be used by technicians, graduate and undergraduate students, and non-specialists. Beginners and experts alike will appreciate the continuing value of this book.

The arguments used to justify the deposition of Richard II in 1399 created new forms of political discussion which developed alongside new expectations of kingship itself and which shaped political action and debate for centuries to come. This interdisciplinary study analyses the political language and literature of the early Lancastrian period, particularly the reigns of Henry IV (1399–1413) and Henry V (1413–22). Lancastrian authors such as Thomas Hoccleve and the authors of the anonymous works Richard the Redeless, Mum and the Sothsegger and Crowned King made creative use of languages and idioms which were in the process of escaping from the control of their royal masters. In a study that has far-reaching implications for both literary and political history, Jenni Nuttall presents a fresh understanding of how political language functions in the late medieval period.

Skin colour is perhaps the most decisive and abused physical characteristic of humankind. This book presents a multidisciplinary overview of how and why human populations vary so markedly in their skin colour. The biological aspects of the pigment cell and its production of melanin are reviewed. The functions of melanin in the skin, brain, eye and ear are considered, and the common clinical abnormalities of pigmentation, such as albinism, are described and illustrated. Detailed reflectance data from worldwide surveys of skin colour are also presented. The historical and contemporary background of the phenomenon is explored in relation to the so-called 'colour problem' in society. Finally, the possible evolutionary forces which shape human pigmentation are assessed. This fascinating account will be of interest to graduate students and researchers of biological anthropology, anatomy, physiology and dermatology, as well as medical practitioners.

Skin colour is perhaps the most decisive and abused physical characteristic of humankind. This book presents a multidisciplinary overview of how and why human populations vary so markedly in their skin colour. The biological aspects of the pigment cell and its production of melanin are reviewed. The functions of melanin in the skin, brain, eye and ear are considered, and the common clinical abnormalities of pigmentation, such as albinism, are described and illustrated. Detailed reflectance data from worldwide surveys of skin colour are also presented. The historical and contemporary background of the phenomenon is explored in relation to the so-called 'colour problem' in society. Finally, the possible evolutionary forces which shape human pigmentation are assessed. This fascinating account will be of interest to graduate students and researchers of biological anthropology, anatomy, physiology and dermatology, as well as medical practitioners.

This text closely examines ideas, analysis, and implementation details of data structures as a specialised topic in applied algorithms. It looks at efficient ways to realise query and update operations on sets of numbers, intervals, or strings by various data structures, including: search trees; structures for sets of intervals or piece-wise constant functions; orthogonal range search structures; heaps; union-find structures; dynamization and persistence of structures; structures for strings; and hash tables. Instead of relegating data structures to trivial material used to illustrate object-oriented programming methodology, this is the first volume to show data structures as a crucial algorithmic topic. Numerous code examples in C and more than 500 references make Advanced Data Structures an indispensable text.

This text closely examines ideas, analysis, and implementation details of data structures as a specialised topic in applied algorithms. It looks at efficient ways to realise query and update operations on sets of numbers, intervals, or strings by various data structures, including: search trees; structures for sets of intervals or piece-wise constant functions; orthogonal range search structures; heaps; union-find structures; dynamization and persistence of structures; structures for strings; and hash tables. Instead of relegating data structures to trivial material used to illustrate object-oriented programming methodology, this is the first volume to show data structures as a crucial algorithmic topic. Numerous code examples in C and more than 500 references make Advanced Data Structures an indispensable text.

This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.

In this book, a distinguished team of authors explores the way space, place, architecture, and ritual interact to construct sacred experience in the historical cultures of the eastern Mediterranean. Essays address fundamental issues and features that enable buildings to perform as spiritually transformative spaces in ancient Greek, Roman, Jewish, early Christian, and Byzantine civilizations. Collectively they demonstrate the multiple ways in which works of architecture and their settings were active agents in the ritual process. Architecture did not merely host events; rather, it magnified and elevated them, interacting with rituals facilitating the construction of ceremony. This book examines comparatively the ways in which ideas and situations generated by the interaction of place, built environment, ritual action, and memory contributed to the cultural formulation of the sacred experience in different religious faiths.

This is a ground-breaking history of the British monarchy in the First World War and of the social and cultural functions of monarchism in the British war effort. Heather Jones examines how the conflict changed British cultural attitudes to the monarchy, arguing that the conflict ultimately helped to consolidate the crown's sacralised status. She looks at how the monarchy engaged with war recruitment, bereavement, gender norms, as well as at its political and military powers and its relationship with Ireland and the empire. She considers the role that monarchism played in military culture and examines royal visits to the front, as well as the monarchy's role in home front morale and in interwar war commemoration. Her findings suggest that the rise of republicanism in wartime Britain has been overestimated and that war commemoration was central to the monarchy's revered interwar status up to the abdication crisis.

Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.

This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied

This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied

Knowledge of risk models and the assessment of risk is a fundamental part of the training of actuaries and all who are involved in financial, pensions and insurance mathematics. This book provides students and others with a firm foundation in a wide range of statistical and probabilistic methods for the modelling of risk, including short-term risk modelling, model-based pricing, risk-sharing, ruin theory and credibility. It covers much of the international syllabuses for professional actuarial examinations in risk models, but goes into further depth, with worked examples, exercises and detailed case studies. The authors also use the statistical package R to demonstrate how simple code and functions can be used profitably in an actuarial context. The authors' engaging and pragmatic approach, balancing rigour and intuition and developed over many years of teaching the subject, makes this book ideal for self-study or for students taking courses in risk modelling.

A comprehensive update of the leading algorithms text, with new material on matchings in bipartite graphs, online algorithms, machine learning, and other topics. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. It covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers, with self-contained chapters and algorithms in pseudocode. Since the publication of the first edition, Introduction to Algorithms has become the leading algorithms text in universities worldwide as well as the standard reference for professionals. This fourth edition has been updated throughout. New for the fourth edition New chapters on matchings in bipartite graphs, online algorithms, and machine learningNew material on topics including solving recurrence equations, hash tables, potential functions, and suffix arrays140 new exerc

The book assesses the policy actions of select Asian governments (China, India, Hong Kong, South Korea, Singapore and Thailand) to address critical health system functions from a policy design perspective. The findings show that all governments in the region have made tremendous strides in focussing their attention on the core issues and, especially, the interactions among them. However, there is still insufficient appreciation of the usefulness of public hospitals and their efficient management. Similarly, some governments have not made sufficient efforts to establish an effective regulatory framework which is especially vital in systems with a large share of private providers and payers. A well-run public hospital system and an effective framework for regulating private providers are essential tools to support the governance, financing, and payment reforms underway in the six health systems studied in this book.

In this primer to the many-body theory of condensed-matter systems, the authors introduce the subject to the non-specialist in a broad, concise, and up-to-date manner. A wide range of topics are covered including the second quantization of operators, coherent states, quantum-mechanical Green's functions, linear response theory, and Feynman diagrammatic perturbation theory. Material is also incorporated from quantum optics, low-dimensional systems such as graphene, and localized excitations in systems with boundaries as in nanoscale materials. Over 100 problems are included at the end of chapters, which are used both to consolidate concepts and to introduce new material. This book is suitable as a teaching tool for graduate courses and is ideal for non-specialist students and researchers working in physics, materials science, chemistry, or applied mathematics who want to use the tools of many-body theory.

This book discusses how citizens can participate more effectively in sustainability science and environmental policy debates. It discusses designs for participatory procedures, and experiences of their application to issues of global change. While the focus is on citizen participation, the involvement of specific stakeholders - including water managers and venture capitalists - is also addressed. The book describes how focus group methods were combined with the interactive use of computer models into new forms of participation, tested with six hundred citizens. The results are discussed in relation to other important topics, including greenhouse gas and water management. By combining this with an examination of issues of interactive governance and developing country participation, the book provides state-of-the-art, practical insights for students, researchers and policy makers alike.

This book discusses how citizens can participate more effectively in sustainability science and environmental policy debates. It discusses designs for participatory procedures, and experiences of their application to issues of global change. While the focus is on citizen participation, the involvement of specific stakeholders - including water managers and venture capitalists - is also addressed. The book describes how focus group methods were combined with the interactive use of computer models into new forms of participation, tested with six hundred citizens. The results are discussed in relation to other important topics, including greenhouse gas and water management. By combining this with an examination of issues of interactive governance and developing country participation, the book provides state-of-the-art, practical insights for students, researchers and policy makers alike.

A multitude of processes in hydrology and environmental engineering are either random or entail random components which are characterized by random variables. These variables are described by frequency distributions. This book provides an overview of different systems of frequency distributions, their properties, and applications to the fields of water resources and environmental engineering. A variety of systems are covered, including the Pearson system, Burr system, and systems commonly applied in economics, such as the D'Addario, Dagum, Stoppa, and Esteban systems. The latter chapters focus on the Singh system and the frequency distributions deduced from Bessel functions, maximum entropy theory, and the transformations of random variables. The final chapter introduces the genetic theory of frequency distributions. Using real-world data, this book provides a valuable reference for researchers, graduate students, and professionals interested in frequency analysis.

A multitude of processes in hydrology and environmental engineering are either random or entail random components which are characterized by random variables. These variables are described by frequency distributions. This book provides an overview of different systems of frequency distributions, their properties, and applications to the fields of water resources and environmental engineering. A variety of systems are covered, including the Pearson system, Burr system, and systems commonly applied in economics, such as the D'Addario, Dagum, Stoppa, and Esteban systems. The latter chapters focus on the Singh system and the frequency distributions deduced from Bessel functions, maximum entropy theory, and the transformations of random variables. The final chapter introduces the genetic theory of frequency distributions. Using real-world data, this book provides a valuable reference for researchers, graduate students, and professionals interested in frequency analysis.

This book explores the implications of recent insights in modern neuroscience for the church's view of spiritual formation. Science suggests that functions of the brain and body in collaboration with social experience, rather than a disembodied soul, provide physical basis for the mental capacities, interpersonal relations, and religious experiences of human beings. The realization that human beings are wholly physical, but with unique mental, relational and spiritual capacities, challenges traditional views of Christian life as defined by the care of souls, a view that leads to inwardness and individuality. Psychology and neuroscience suggest the importance of developmental openness, attachment, imitation and stories as tools in spiritual formation. Accordingly, the idea that care of embodied persons should be fundamentally social and communal sets new priorities for encouraging spiritual growth and building congregations.

This book explores the implications of recent insights in modern neuroscience for the church's view of spiritual formation. Science suggests that functions of the brain and body in collaboration with social experience, rather than a disembodied soul, provide physical basis for the mental capacities, interpersonal relations, and religious experiences of human beings. The realization that human beings are wholly physical, but with unique mental, relational and spiritual capacities, challenges traditional views of Christian life as defined by the care of souls, a view that leads to inwardness and individuality. Psychology and neuroscience suggest the importance of developmental openness, attachment, imitation and stories as tools in spiritual formation. Accordingly, the idea that care of embodied persons should be fundamentally social and communal sets new priorities for encouraging spiritual growth and building congregations.

First published in 1986, this book contains an in-depth treatment on distillation tray hydrodynamics and efficiency, with an emphasis on sieve and valve trays. As distillation lies at the heart of the petroleum and chemical industries, so at the heart of most distillation columns are the trays used to effect the separation. Topics covered by the author include froth, foam and spray, dispersion height, pressure drop, flooding and weeping. Procedures for predicting tray efficiency are outlined including the effects of entrainment, weeping and flow maldistribution. Methods for multicomponent efficiency are also covered with examples. Although distillation tray hydrodynamics is probably one of the most well-researched areas of chemical engineering, few books cover the subject other than on an elementary level. The present volume will be used by graduate students and research workers in chemical engineering, and by chemical and process engineers in industry concerned with distillation and a

The central role of mathematical modeling in modern evolutionary theory has raised a concern as to why and how abstract formulae can say anything about empirical phenomena of evolution. This Element introduces existing philosophical approaches to this problem and proposes a new account according to which evolutionary models are based on causal, and not just mathematical, assumptions. The novel account features causal models both as the Humean 'uniform nature' underlying evolutionary induction and as the organizing framework that integrates mathematical and empirical assumptions into a cohesive network of beliefs that functions together to achieve epistemic goals of evolutionary biology.