Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).
Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).
This book offers a broad survey of all information made public - from 1993 until today - on keystream sequence generators based on irregular decimation, which are referred to as shrinking generators. Starting with an overview of cryptography, it describes each type of generator - shrinking, self-shrinking, modified self-shrinking, generalized self-shrinking and the DECIM algorithm - with examples and references. Further, the book discusses several attacks on these generators and applications. It concludes by demonstrating how the output sequences can be modeled by means of different families of one-dimensional cellular automata, rendering the generators vulnerable to attacks. Intended for researchers and graduate students, the book will hopefully inspire them to search for more details on this family of generators and to address the open problems in this field.
Translation as a Cognitive Activity provides an overarching account of translation as a cognitive activity, from the pioneering use of think-aloud protocols as a sole technique used to investigate the translation process in the mid-1980s to the latest developments in the field. This book focuses on the main aspects of translation as a cognitive activity, including detailed descriptions of translation process research as well as research on translation competence and its acquisition. Providing thorough information into ways of studying translation as a cognitive activity by means of systematic references to empirical-experimental investigations, this innovative textbook promotes knowledge about the cognitive study of translation to related fields. With detailed explanations about models related to the functioning of the translation process and translation competence as well as an updated account of methods and instruments used in empirical-experimental research in translation, this is the ideal resource for students and translator trainers as well as novice and experienced translators.
Studies on L2 writing tasks with child learners have broken through several barriers in the past few years. Although long considered a solitary task, writing is now regularly done in collaborative pairs and groups as well. New and more comprehensive writing and feedback strategies have been implemented and task repetition has made its way from oral into writing tasks. Finally, research analyses of linguistic outcomes have been complemented by measures of task motivation. Drawing on knowledge from the fields of psychology, education and SLA, this book includes a comprehensive and interdisciplinary analysis of this body of research. It pinpoints the specificity of writing tasks for child L2 learners, identifies the research gaps that pave the way for future research, and offers a guide for teachers who wish to implement writing tasks with young language learners. In sum, this book demonstrates that child L2 writing constitutes a new field of inquiry and attempts to give child L2 writers a room of their own.
In-depth analysis of the potential powers and necessary limits of the mutual assistance function at the national administrative level. Includes recommendations for the strengthening and effectiveness of mutual assistance procedures, considers the growing role of multilateral treaties, and envisions the possibility of an international fiscal court.
The pioneering guide on the design, processing, and testing of antimicrobial plastic materials and coatings The manifestation of harmful microbes in plastic materials used in medical devices and drugs, water purification systems, hospital equipment, textiles, and food packaging pose alarming health threats to consumers by exposing them to many serious infectious diseases. As a result, high demand for intensifying efforts in the R&D of antimicrobial polymers has placed heavy reliance on both academia and industry to find viable solutions for producing safer plastic materials. To assist researchers and students in this endeavor, Antimicrobial Polymers explores coupling contaminant-deterring biocides and plastics—focusing particular attention on natural biocides and the nanofabrication of biocides. Each chapter is devoted to addressing a key technology employed to impart antimicrobial behavior to polymers, including chemical modification of the polymers themselves. A host of relevant topics, such as regulatory matters, human safety, and environmental risks are covered to help lend depth to the book's vital subject matter. In addition, Antimicrobial Polymers: Discusses the design, processing, and testing of antimicrobial plastic materials Covers interdisciplinary areas of chemistry and microbiology Includes applications in food packaging, medical devices, nanotechnology, and coatings Details regulations from the U.S. (FDA and EPA) and EU as well as human safety and environmental concerns Achieving cleaner and more effective methods for improving the infection-fighting properties of versatile and necessary plastic materials is a goal that stretches across many scientific fields. Antimicrobial Polymers combines all of this information into one volume, exposing readers to preventive strategies that harbor vast potential for making exposure to polymeric products and surfaces a far less risky undertaking in the future.
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