Linear algebra: selected problems

Linear Algebra—Selected Problems is a unique book for senior undergraduate and graduate students to fast review basic materials in Linear Algebra. Vector spaces are presented first, and linear transformations are reviewed secondly. Matrices and Linear systems are presented. Determinants and Basic geometry are presented in the last two chapters. The solutions for proposed excises are listed for readers to references.

Modelling the torsional interaction of wire and polyester fibre ropes used for offshore moorings

Oil rig mooring lines have traditionally consisted of chain and wire rope. As production has moved into deeper water it has proved advantageous to incorporate sections of fibre rope into the mooring lines. However, this has highlighted torsional interaction problems that can occur when ropes of different types are joined together. This paper describes a method by which the torsional properties of ropes can be modelled and can then be used to calculate the rotation and torque for two ropes connected in series. The method uses numerical representations of the torsional characteristics of both the ropes, and equates the torque generated in each rope under load to determine the rotation at the connection point. Data from rope torsional characterization tests have been analysed to derive constants used in the numerical model. Constants are presented for: a six-strand wire rope; a torque-balanced fibre rope; and a fibre rope that has been designed to be torque-matched to stranded wire rope. The calculation method has been verified by comparing predicted rotations with measured test values. Worked examples are given for a six-strand wire rope connected, firstly, to a torque-balanced fibre rope that offers little rotational restraint, and, secondly, to a fibre rope whose torsional properties are matched to that of the wire rope.

A practical comparison of blinded methods for sample size reviews in survival data clinical trials.

This paper presents practical approaches to the problem of sample size re-estimation in the case of clinical trials with survival data when proportional hazards can be assumed. When data are readily available at the time of the review, on a full range of survival experiences across the recruited patients, it is shown that, as expected, performing a blinded re-estimation procedure is straightforward and can help to maintain the trial's pre-specified error rates. Two alternative methods for dealing with the situation where limited survival experiences are available at the time of the sample size review are then presented and compared. In this instance, extrapolation is required in order to undertake the sample size re-estimation. Worked examples, together with results from a simulation study are described. It is concluded that, as in the standard case, use of either extrapolation approach successfully protects the trial error rates. Copyright © 2012 John Wiley & Sons, Ltd.

The statistical downscaling model-decision centric (SDSM-DC): conceptual basis and applications

Regional climate downscaling has arrived at an important juncture. Some in the research community favour continued refinement and evaluation of downscaling techniques within a broader framework of uncertainty characterisation and reduction. Others are calling for smarter use of downscaling tools, accepting that conventional, scenario-led strategies for adaptation planning have limited utility in practice. This paper sets out the rationale and new functionality of the Decision Centric (DC) version of the Statistical DownScaling Model (SDSM-DC). This tool enables synthesis of plausible daily weather series, exotic variables (such as tidal surge), and climate change scenarios guided, not determined, by climate model output. Two worked examples are presented. The first shows how SDSM-DC can be used to reconstruct and in-fill missing records based on calibrated predictor-predictand relationships. Daily temperature and precipitation series from sites in Africa, Asia and North America are deliberately degraded to show that SDSM-DC can reconstitute lost data. The second demonstrates the application of the new scenario generator for stress testing a specific adaptation decision. SDSM-DC is used to generate daily precipitation scenarios to simulate winter flooding in the Boyne catchment, Ireland. This sensitivity analysis reveals the conditions under which existing precautionary allowances for climate change might be insufficient. We conclude by discussing the wider implications of the proposed approach and research opportunities presented by the new tool.

Do-it-yourself textbook review report card (Checklist)

It is argued that teachers will encounter many changes in teaching approaches and possibly in teaching materials resulting from the development and implementation of the national curriculum. With the new national curriculum, there will be new textbooks which will be 'new' as textbooks, but not necessarily new in mathematical content or instructional approaches. Two critical questions for these textbooks (or any textbooks) are: How good are these textbooks, as textbooks? How well do these textbooks fit whatever the 'new' curriculum is? Other questions to consider are: Is the content 'new' and/or substantial? Is the material 'fair' and representative? Elements of a good textbook are discussed including that it should have good design and provide good definitions, worked examples and counter-examples.

A novel quantitative method for analyzing the distributions of nanoparticles between different tissue and intracellular compartments

The penetration, translocation, and distribution of ultrafine and nanoparticles in tissues and cells are challenging issues in aerosol research. This article describes a set of novel quantitative microscopic methods for evaluating particle distributions within sectional images of tissues and cells by addressing the following questions: (1) is the observed distribution of particles between spatial compartments random? (2) Which compartments are preferentially targeted by particles? and (3) Does the observed particle distribution shift between different experimental groups? Each of these questions can be addressed by testing an appropriate null hypothesis. The methods all require observed particle distributions to be estimated by counting the number of particles associated with each defined compartment. For studying preferential labeling of compartments, the size of each of the compartments must also be estimated by counting the number of points of a randomly superimposed test grid that hit the different compartments. The latter provides information about the particle distribution that would be expected if the particles were randomly distributed, that is, the expected number of particles. From these data, we can calculate a relative deposition index (RDI) by dividing the observed number of particles by the expected number of particles. The RDI indicates whether the observed number of particles corresponds to that predicted solely by compartment size (for which RDI = 1). Within one group, the observed and expected particle distributions are compared by chi-squared analysis. The total chi-squared value indicates whether an observed distribution is random. If not, the partial chi-squared values help to identify those compartments that are preferential targets of the particles (RDI > 1). Particle distributions between different groups can be compared in a similar way by contingency table analysis. We first describe the preconditions and the way to implement these methods, then provide three worked examples, and finally discuss the advantages, pitfalls, and limitations of this method.

Operations management

Operations Management is a modern success story that plays an essential role in the success of any organisation. Andrew Greasley provides a clear and accessible introduction to this large area of study, focusing on all the key areas of operations in both manufacturing and service industries. Example boxes provide international, real–life details of operations concepts Worked Examples – step–by–step guides to the procedure to solve quantitative problems End–of–Chapter exercises covering topics for discussion and examples to help develop practical skills Further Reading and Web links – an extra resource to assist students in locating further additional materials Lecturers who adopt this text will find supporting resources on the companion website, including powerpoint slides for each chapter, suggested solutions for case studies and end of chapter exercises, and a multiple–choice test bank.

Casebook on contract law

The law of contract can be a complex and technical subject, rvt the new edition of Jill Poole's Casebook on Contract provides a clear and well-structured exposition of the principles and rules through a comprehensive selection of case law, addressing all aspects encountered on undergraduate courses. Opening with a chapter of valuable advice and guidance on how to successfully develop and improve the essential skills of case-reading, featuring two worked examples, the coverage in this sixth edition expands to incorporate all recent significant decisions and judgments made by the House of Lords and Court of Appeal such as, Director General of Fair Trading v First National Bank plc, Farley v Skinner, Royal Bank of Scotland v Etridge and UCB Corporate Services v Williams. Interesting recent decisions in relation to battle of forms, terms, exemption clauses and misrepresentation are also included. Extracts have been chosen from a wide range of historical and contemporary cases to illustrate the reasoning processes of the court, why decisions are made and how legal principles are developed - enabling cases to be analysed and discussed independently while, taken as a whole, the chapters provide a sound understanding of the modern law of contract. The section on damages for breach of contract has been expanded to reassess Ruxley Electronics and Construction Ltd v Forsyth in the light of Farley v Skinner, the future of Addis v Gramophone Co Ltd is considered in the light of Johnson v Unisys Ltd and Attorney General v Blake is examined in the light of the decision in Esso Petroleum Co Ltd v Niad Ltd. Succinct author comment focuses the reader on the key elements within the extracts, while thought-provoking questions are posed throughout to develop more in-depth analysis. The logical and clear organization of topics has been further improved to more accurately echo the order adopted within the author's popular textbook and closer crossreferencing to this text has been incorporated to highlight where more detailed discussion of issues arising from the caselaw can be explored. As a result, this new edition can be used both as a traditional casebook and as a companion volume to Poole's Textbook on Contract. This edition is also supported by a new companion web site that offers the benefits of essential updating of key materials, sample questions, lists for key further reading sources and relevant web links, additional relevant cases and materials and guidance on successful exam technique. As with previous editions, Casebook on Contract is an invaluable primary source and an essential study aid for all those following elements of contract law as part of the LLB and CPE, as well as for students from related disciplines such as Accounting and Business.

Essential mathematics:a refresher course for business and social studies

Many students starting courses in business, accounting and similar areas want to update their mathematical skills, and are seeking a suitable text; this book addresses their needs. Written in an informal style, emphasising understanding and application of techniques rather than formal proofs, it covers all the mathematics needed by entrants to BTEC, undergraduate, MBA and related professional courses. Plentiful worked examples and exercises with solutions make the book a practical self-study aid for those wishing to revise before starting their course.

Operations management

Operations management deals with the management of the creation of goods and the delivery of services to the customer. It plays an essential role in the success of any organization. In this book, Andrew Greasley provides a clear and accessible introduction to this important area of study, focusing on all key areas of operations in both manufacturing and service industries. Operations Management, Second Edition covers the main areas of operations strategy, the design of the operations system and the management of operations over time. Yet, its concise nature of the text means students are not overwhelmed by the amount of material presented. This new edition also features: New content in such areas such as the quality gap model, enterprise systems and business process management. Expanded case studies, to include more global and European cases and longer cases at the end of each chapter. Greater clarity in chapter material organization. Worked Examples providing a step–by–step guide to the procedure to solve quantitative problems. Visual redesign in full colour. More support material for students and lecturers, including an interactive WileyPLUS course. All lecturers can access supporting resources on the companion website at www.wiley.com/college/greasley including an Instructor’s Manual with suggested solutions for all case study questions and end of chapter exercises, a Test Bank and PowerPoint slides for each chapter. Students will find multiple–choice test quizzes, web–links and an online glossary. Operations Management is essential reading for all students studying operations management, whether on undergraduate, postgraduate or continuing professional development courses.

FASTtrack applied pharmaceutical practice

This revision guide takes the student pharmacist or pharmacy technician through the main stages involved in pharmaceutical dispensing. It gives bullet points of basic information on applied pharmacy practice followed by questions and answers. This reference text accompanies the compulsory dispensing courses found in all undergraduate MPharm programmes and equivalent technical training courses. Changes for the new edition include: * Information on revisions to the community pharmacy contract. * Additional content on new advanced community pharmacy services. * Revised worked examples and student questions. * Updated prescription labelling information, including the use of new cautionary and warning labels. * Updated references and bibliography.

Operations management

Operations Management, 3rd Edition provides a clear and accessible introduction to this important area of study, focusing on all key areas of operations in both manufacturing and service industries. Features: Focuses on the subject from a European perspective. Deals with the management of the creation of goods and the delivery of services to the customer. Covers the main areas of operations strategy, the design of operations system and the management of operations over time. Incorporates more strategic and international commentary. Includes a strategy link section consisting of a paragraph relating each chapter topic to operations strategy. Includes more end of chapter and quantitative exercises. Cases have been updated throughout and now include: Service including public sector, international, a mix of mini–cases and a longer case for each chapter. Accompanied by a comprehensive package of online learning support materials including: A robust testbank featuring 1500 questions, PowerPoint slides and a comprehensive instructor's manual An interactive e–Book is included with every new copy of this text, featuring a wealth of embedded media, including: Animated worked examples, simulations, virtual tours, videos, flashcards and practice quizzes.

Project financing 8th edition

The eighth edition is a fundamental and essential update to the seventh edition published in 2000. This new edition examines a comprehensive range of existing and newer topics that are relevant to project financing in 2012 and explores current trends in the project finance and leasing industries. Contributors are experienced academics and practitioners. Since the first edition was published, the financial markets have undergone tremendous upheavals and many new structures and instruments have been created to meet the financing needs of business. This edition considers the wider world of project finance, applicable to such diverse situations as venture capital and leveraged buyouts, and using new approaches such as Islamic finance techniques. The eighth edition is an essential and over-due update to the previous edition published in 2000. The eighth edition updates a comprehensive review of financial and related topics which are relevant to project financing in 2012 and explores current trends in financial modelling of a project, risk management and the private finance initiatives. This is a comprehensive and practical book full of advice and tips for successful project financing, including leasing, offering a clear, easy to understand guide to a complex area with examples. The topic coverage is well organized and complete moving from the fundamentals to the more complex issues. There is an extensive glossary to support readers. Finally the use of 12 practitioner case studies brings many of these complex issues to life. This is the new edition of the clear, easy-to-understand industry-standard text on project financing. With a good overview of a broad area and using principles of project financing to explain complex structures, this book includes lots of examples and case studies (including Eurotunnel, Dabhol, multiple Paiton deals and other recent deals along with subsequent developments) to show the concepts in use, examine outcomes and to ensure you understand important issues such as effective project structuring and financing, financial modelling for project valuation, and risk management. Substantially updated and expanded to provide the latest developments in all aspects of project financing. An important manual reference, this book is a must-have for every project financier's desk. The text unites the domain of project financing with a wealth of project management techniques, supported by diagrams and charts and other pictorial features, where appropriate. All these supporting features facilitate a better understanding of the accompanying text for the reader. In many chapters there are diagrams to clarify the specific transaction structure discussed in the accompanying text. These diagrams enable the reader to get a very clear idea of the transaction structure, which is particularly useful where it is complex or unusual. There are also a number of checklists to assist stakeholders in the project and resource management of complex project financings. The new financial modelling chapters allow exploration of some of the pitfalls project models encounter, challenging the accurate replication of the project cash flows for stakeholders to evaluate. In the later new risk management chapters, worked examples are included to illustrate the techniques in practice. The new public private partnership/private finance initiatives chapter introduces readers to this new approach to public projects. References are made to useful websites throughout the text. Cases are included at the end of the main text to encourage examination of real-life examples of project financing in practice and also highlight specific issues of current interest. The book will be helpful to project finance sponsors, lawyers, host governments, bankers and providers of capital

FASTtrack applied pharmaceutical practice

This revision guide takes the student pharmacist or pharmacy technician through the main stages involved in pharmaceutical dispensing. It gives bullet points of basic information on applied pharmacy practice followed by questions and answers. This reference text accompanies the compulsory dispensing courses found in all undergraduate MPharm programmes and equivalent technical training courses. Changes for the new edition include: * Information on revisions to the community pharmacy contract. * Additional content on new advanced community pharmacy services. * Revised worked examples and student questions. * Updated prescription labelling information, including the use of new cautionary and warning labels. * Updated references and bibliography.

FASTtrack Pharmaceutical Compounding and Dispensing

FASTtrack: Pharmaceutical Compounding and Dispensing focuses on what you really need to know in order to pass exams. Concise, bulleted information, key points, tips and an all-important self-assessment section which includes MCQs, case studies, sample essay questions and worked examples. Based on the successful textbook, Pharmaceutical Compounding and Dispensing, this FASTtrack book has been designed to assist the student compounder in understanding the key dosage forms encountered within extemporaneous dispensing. For this new second edition all the references to modern texts (for example, the BNF) have been updated, as well as labelling to reflect changes since the publication of the first edition. Some worked examples have been changed owing to the availability of pharmaceutical ingredients. Free access to online videos demonstrating various dispensing procedures is included. Are your exams coming up? Are you drowning in textbooks and lecture notes and wondering where to begin? Take the FASTtrack route to successful study for your examinations. FASTtrack provides the ultimate lecture notes and is a must-have for all pharmacy students wanting to study and test themselves for forthcoming exams.