A wide variety of processes occur on multiple scales, either naturally or as a consequence of measurement. This book contains methodology for the analysis of data that arise from such multiscale processes. The book brings together a number of recent developments and makes them accessible to a wider audience. Taking a Bayesian approach allows for full accounting of uncertainty, and also addresses the delicate issue of uncertainty at multiple scales. The Bayesian approach also facilitates the use of knowledge from prior experience or data, and these methods can handle different amounts of prior knowledge at different scales, as often occurs in practice.

The book is aimed at statisticians, applied mathematicians, and engineers working on problems dealing with multiscale processes in time and/or space, such as in engineering, finance, and environmetrics. The book will also be of interest to those working on multiscale computation research. The main prerequisites are knowledge of Bayesian statistics and basic Markov chain Monte Carlo methods. A number of real-world examples are thoroughly analyzed in order to demonstrate the methods and to assist the readers in applying these methods to their own work. To further assist readers, the authors are making source code (for R) available for many of the basic methods discussed herein.

Recent advances in the field of fracture of engineering materials and structures have increasingly indicated its multidisciplinary nature. This area of research now involves scientists and engineers who work in materials science, applied mathematics and mechanics, and also computer scientists. The present volume, which contains the Proceedings of the Joint FEFG/lCF International Conference on Fracture of Engineering Materials and Structures held in Singapore from the 6th to 8th of August 1991, is a testimony of this multidisciplinary nature. This International Conference was the Second Symposium of the Far East Fracture Group (FEFG) and thus provided a unique opportunity for researchers and engineers in the Far East region to exchange and acquire knowledge of new advances and applications in fracture. The Conference was also the Inter-Quadrennial International Conference on Fracture (ICF) for 1991 and thus appealed to researchers in the international arena who wished to take advantage of this meeting to present their findings. The Conference has brought together over 130 participants from more than 24 countries, and they represented government and industrial research laboratories as well as academic institutions. It has thus achieved its objective of bringing together scientists and engineers with different backgrounds and perspectives but with . a common interest in new developments in the fracture of engineering materials and structures. This volume contains 4 keynote papers, 4 invited papers and 130 contributed papers.

Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear deformation theories provide accurate solutions compared to the classical theory.
Equations governing shear deformation theories are typically more complicated than those of the classical theory. Hence it is desirable to have exact relationships between solutions of the classical theory and shear deformation theories so that whenever classical theory solutions are available, the corresponding solutions of shear deformation theories can be readily obtained. Such relationships not only furnish benchmark solutions of shear deformation theories but also provide insight into the significance of shear deformation on the response. The relationships for beams and plates have been developed by many authors over the last several years. The goal of this monograph is to bring together these relationships for beams and plates in a single volume.
The book is divided into two parts. Following the introduction, Part 1 consists of Chapters 2 to 5 dealing with beams, and Part 2 consists of Chapters 6 to 13 covering plates. Problems are included at the end of each chapter to use, extend, and develop new relationships.

This highly useful book contains methodology for the analysis of data that arise from multiscale processes. It brings together a number of recent developments and makes them accessible to a wider audience. Taking a Bayesian approach allows for full accounting of uncertainty, and also addresses the delicate issue of uncertainty at multiple scales. These methods can handle different amounts of prior knowledge at different scales, as often occurs in practice.

This book introduces readers to Bayesian optimization, highlighting advances in the field and showcasing its successful applications to computer experiments. R code is available as online supplementary material for most included examples, so that readers can better comprehend and reproduce methods. Compact and accessible, the volume is broken down into four chapters. Chapter 1 introduces the reader to the topic of computer experiments; it includes a variety of examples across many industries. Chapter 2 focuses on the task of surrogate model building and contains a mix of several different surrogate models that are used in the computer modeling and machine learning communities. Chapter 3 introduces the core concepts of Bayesian optimization and discusses unconstrained optimization. Chapter 4 moves on to constrained optimization, and showcases some of the most novel methods found in the field. This will be a useful companion to researchers and practitioners working with computer experiments and computer modeling. Additionally, readers with a background in machine learning but minimal background in computer experiments will find this book an interesting case study of the applicability of Bayesian optimization outside the realm of machine learning.

The fragmentary plays of Euripides are a body of texts still regularly increasing in number and extent. They are of very great interest in themselves, apart from the significant aid they give to the fuller appreciation of the surviving complete plays. This two-volume edition brings together for the first time for English readers the more substantial and important of the plays, about fifteen in all. Each play is introduced by a summary bibliography and an appreciative essay which analyses the mythic background and plot: reconstructs the play as far as the fragmentary text and secondary evidence allow; and discusses themes, characterisation, staging, date, reflections of the story in art and other dramatisations. For each play the fragmentary texts are presented as conveniently and succinctly as possible, together with a brief critical apparatus of sources and readings. An English translation stands on the facing page. The text and translation of each play are followed by a short, primarily interpretative commentary. Text with facing translation, commentary and notes.

Ion is generally regarded as one of Euripides' most attractive plays. A skilfully organised plot, charming characters, exciting situations and thought-provoking themes make it an excellent introduction to the study of Greek drama generally and of Euripides in particular. The introduction deals with Euripides' adaptation of the myth of Ion, his treatment of the theme of autochthony and his attitude to the seemingly licentious behaviour of Apollo. There is also a discussion of the play's date, its structure, form and language. The commentary is designed to encourage students to read the play in a responsive way and to pay attention to matters of form, language and dramatic technique. Greek text with facing-page English translation, introduction and commentary.

The fragmentary plays of Euripides are a body of texts still regularly increasing in number and extent. They are of very great interest in themselves, apart from the significant aid they give to the fuller appreciation of the surviving complete plays. This two-volume edition brings together for the first time for English readers the more substantial and important of the plays, about fifteen in all. Each play is introduced by a summary bibliography and an appreciative essay which analyses the mythic background and plot: reconstructs the play as far as the fragmentary text and secondary evidence allow; and discusses themes, characterisation, staging, date, reflections of the story in art and other dramatisations. For each play the fragmentary texts are presented as conveniently and succinctly as possible, together with a brief critical apparatus of sources and readings. An English translation stands on the facing page. The text and translation of each play are followed by a short, primarily interpretative commentary. Text with facing translation, commentary and notes.

With its savage indictment of the horrors of war as they affect women and children on the losing side, Euripides Troades has been one of the most regularly read, performed and adapted of Greek tragedies. It was first produced in 415 BC just after the Athenians slaughter of the male population of Melos and at the point where they were sending out the ambitious Sicilian expedition. It therefore has major contemporary political significance. Like Aeschylus Eumenides, it was performed as the third play in a thematically linked trilogy and, though the other two plays survive only in fragments, important inferences can be drawn about our interpretation of the surviving play and Euripides use of the trilogy form. Lee s edition, first published in the famous red Macmillan series in 1976, is the most recent scholarly edition in English. The detailed commentary discusses text, language, interpretation and metre; there is a full introduction and for this paperback edition Lee has added an up-to-date bibliography.