Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.
In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems.
The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time.
- computable bounds of approximation errors
- checking algorithms
- iteration processes
- finite element methods
- elliptic type problems
- nonlinear variational problems
- variational inequalities

Effective technologies and tools for e-collaboration are central to the development and evolution of modern work and educational landscapes. Studies on the design, implementation, and evaluation of e-collaboration applications help individuals and businesses in their pursuit of effective tools for increasingly virtual modes of communication. Advancing Collaborative Knowledge Environments: New Trends in E-Collaboration discusses the latest findings in knowledge-intensive, collaborative environments, focusing on frameworks and solutions for improving collaboration online. Uniting research on the effectiveness of instant messaging, the role of presence and awareness in real-time collaboration, and other key concepts, this reference is useful for those interested in frameworks for new collaboration technologies, as well as existing users of new technologies and applications.

The series, Contemporary Perspectives on Data Mining, is composed of blind refereed scholarly research methods and applications of data mining. This series will be targeted both at the academic community, as well as the business practitioner. Data mining seeks to discover knowledge from vast amounts of data with the use of statistical and mathematical techniques. The knowledge is extracted form this data by examining the patterns of the data, whether they be associations of groups or things, predictions, sequential relationships between time order events or natural groups. Data mining applications are seen in finance (banking, brokerage, insurance), marketing (customer relationships, retailing, logistics, travel), as well as in manufacturing, health care, fraud detection, home-land security, and law enforcement.

In order to be useful and transfer adequate knowledge skills to the learner, a multimedia program design needs to have a sound pedagogical base. Technology-Assisted Problem Solving for Engineering Education: Interactive Multimedia Applications explores best practices in assisting students in understanding engineering concepts through interactive and virtual environments. A critical mass of leading international findings, this advanced publication delivers quality research using learning and consultancy for developing tactics to decipher dilemmas within the field.

This book presents a comprehensive study of multivariate time series with linear state space structure. The emphasis is put on both the clarity of the theoretical concepts and on efficient algorithms for implementing the theory. In particular, it investigates the relationship between VARMA and state space models, including canonical forms. It also highlights the relationship between Wiener-Kolmogorov and Kalman filtering both with an infinite and a finite sample. The strength of the book also lies in the numerous algorithms included for state space models that take advantage of the recursive nature of the models. Many of these algorithms can be made robust, fast, reliable and efficient. The book is accompanied by a MATLAB package called SSMMATLAB and a webpage presenting implemented algorithms with many examples and case studies. Though it lays a solid theoretical foundation, the book also focuses on practical application, and includes exercises in each chapter. It is intended for researchers and students working with linear state space models, and who are familiar with linear algebra and possess some knowledge of statistics.

This volume of selected and peer-reviewed contributions on the latest developments in time series analysis and forecasting updates the reader on topics such as analysis of irregularly sampled time series, multi-scale analysis of univariate and multivariate time series, linear and non-linear time series models, advanced time series forecasting methods, applications in time series analysis and forecasting, advanced methods and online learning in time series and high-dimensional and complex/big data time series. The contributions were originally presented at the International Work-Conference on Time Series, ITISE 2016, held in Granada, Spain, June 27-29, 2016. The series of ITISE conferences provides a forum for scientists, engineers, educators and students to discuss the latest ideas and implementations in the foundations, theory, models and applications in the field of time series analysis and forecasting. It focuses on interdisciplinary and multidisciplinary research encompassing the disciplines of computer science, mathematics, statistics and econometrics.

The first wave of Overwatch cinematics captured the imagination of millions of fans around the world. After the game released in 2016, Blizzard Entertainment embarked on a new mission to take cinematic storytelling to the next level. From the intense, action-packed rush of "Shooting Star" to the somber, noble ethos of "Honor and Glory," the creative team wanted to highlight a different side of the game's beloved heroes. In pursuit of their objectives, the crew added new artists in the mix, devised novel methods for making movies, and ventured into formats they hadn't tried before, such as in-game cinematics and stop-motion animation. Covering all the official Overwatch cinematics made from 2017-2020, including the Overwatch 2 announcement trailer, The Cinematic Art of Overwatch: Volume II showcases hundreds of pieces of never-before-seen artwork and documents the epic creative journey that Blizzard took to bring these films to life.

This book presents the latest research on the statistical analysis of functional, high-dimensional and other complex data, addressing methodological and computational aspects, as well as real-world applications. It covers topics like classification, confidence bands, density estimation, depth, diagnostic tests, dimension reduction, estimation on manifolds, high- and infinite-dimensional statistics, inference on functional data, networks, operatorial statistics, prediction, regression, robustness, sequential learning, small-ball probability, smoothing, spatial data, testing, and topological object data analysis, and includes applications in automobile engineering, criminology, drawing recognition, economics, environmetrics, medicine, mobile phone data, spectrometrics and urban environments. The book gathers selected, refereed contributions presented at the Fifth International Workshop on Functional and Operatorial Statistics (IWFOS) in Brno, Czech Republic. The workshop was originally to be held on June 24-26, 2020, but had to be postponed as a consequence of the COVID-19 pandemic. Initiated by the Working Group on Functional and Operatorial Statistics at the University of Toulouse in 2008, the IWFOS workshops provide a forum to discuss the latest trends and advances in functional statistics and related fields, and foster the exchange of ideas and international collaboration in the field.

Growth curve models in longitudinal studies are widely used to model population size, body height, biomass, fungal growth, and other variables in the biological sciences, but these statistical methods for modeling growth curves and analyzing longitudinal data also extend to general statistics, economics, public health, demographics, epidemiology, SQC, sociology, nano-biotechnology, fluid mechanics, and other applied areas. There is no one-size-fits-all approach to growth measurement. The selected papers in this volume build on presentations from the GCM workshop held at the Indian Statistical Institute, Giridih, on March 28-29, 2016. They represent recent trends in GCM research on different subject areas, both theoretical and applied. This book includes tools and possibilities for further work through new techniques and modification of existing ones. The volume includes original studies, theoretical findings and case studies from a wide range of applied work, and these contributions have been externally refereed to the high quality standards of leading journals in the field.

The purpose of this book is to thoroughly prepare the reader for applied research in clustering. Cluster analysis comprises a class of statistical techniques for classifying multivariate data into groups or clusters based on their similar features. Clustering is nowadays widely used in several domains of research, such as social sciences, psychology, and marketing, highlighting its multidisciplinary nature. This book provides an accessible and comprehensive introduction to clustering and offers practical guidelines for applying clustering tools by carefully chosen real-life datasets and extensive data analyses. The procedures addressed in this book include traditional hard clustering methods and up-to-date developments in soft clustering. Attention is paid to practical examples and applications through the open source statistical software R. Commented R code and output for conducting, step by step, complete cluster analyses are available. The book is intended for researchers interested in applying clustering methods. Basic notions on theoretical issues and on R are provided so that professionals as well as novices with little or no background in the subject will benefit from the book.

"By guiding teachers and their students through the workings of Excel, this book ultimately leads to high-ordered decision making about data management and interpretation?a compelling reality of the 21^st century."
Nancy Tanner Edwards, Professor of Education
Missouri Western State College
St. Joseph, MO

  Make Microsoft Excel™ work for you?in the classroom and at your desk!

Using Excel in the Classroom is the essential how-to for teachers at all grade levels, filled with specific, classroom-tested templates, and techniques that teachers need most!

Create, Explore, and ... Color with The Official Minecraft Coloring Book! Based on Minecraft, the best-selling video game of all time, this action-packed coloring book lets kids color their way through nearly 50 epic pages of original art inspired by the expansive, wondrous, and never-ending world of Minecraft.

This book covers the key advances in computerized facial beauty analysis, with an emphasis on data-driven research and the results of quantitative experiments. It takes a big step toward practical facial beauty analysis, proposes more reliable and stable facial features for beauty analysis and designs new models, methods, algorithms and schemes while implementing a facial beauty analysis and beautification system. This book also tests some previous putative rules and models for facial beauty analysis by using computationally efficient mathematical models and algorithms, especially large scale database-based and repeatable experiments.The first section of this book provides an overview of facial beauty analysis. The base of facial beauty analysis, i.e., facial beauty features, is presented in part two. Part three describes hypotheses on facial beauty, while part four defines data-driven facial beauty analysis models. This book concludes with the authors explaining how to implement their new facial beauty analysis system.This book is designed for researchers, professionals and post graduate students working in the field of facial beauty analysis, computer vision, human-machine interface, pattern recognition and biometrics. Those involved in interdisciplinary fields with also find the contents useful. The ideas, means and conclusions for beauty analysis are valuable for researchers and the system design and implementation can be used as models for practitioners and engineers.

Service Design is an eminently practical guide to designing services that work for people. It offers powerful insights, methods, and case studies to help you design, implement, and measure multichannel service experiences with greater impact for customers, businesses, and society.

Computing is transforming how we interact with music. New theories and new technologies have emerged that present fresh challenges and novel perspectives for researchers and practitioners in music and human-computer interaction (HCI). In this collection, the interdisciplinary field of music interaction is considered from multiple viewpoints: designers, interaction researchers, performers, composers, audiences, teachers and learners, dancers and gamers. The book comprises both original research in music interaction and reflections from leading researchers and practitioners in the field. It explores a breadth of HCI perspectives and methodologies: from universal approaches to situated research within particular cultural and aesthetic contexts. Likewise, it is musically diverse, from experimental to popular, classical to folk, including tango, laptop orchestras, composition and free improvisation.

The typesetting system TeX, invented by Donald Knuth, is thirty-two years old in 2010. For this anniversary, a commemorative book has been prepared containing example papers by Knuth and the Stanford graduate students who helped develop TeX. These papers all were selected from the TeX Users Group's TUGboat journal archive.

This handbook serves as a comprehensive, systematic reference to the major mathematical models used in radio engineering and communications, and presents computer simulation algorithms to help the reader estimate parameters of radio systems. It provides the technical details necessary to design and analyze radar, communication, radio navigation, radio control, electronic intelligence and electronic warfare systems. Mathcad routines, cited in the handbook, should help the reader to optimize radar system performance analysis, and can be used to create custom-made software that better answers specific needs.

This uniquely accessible book helps readers use CABology to solve real-world business problems and drive real competitive advantage. It provides reliable, concise information on the real benefits, usage and operationalization aspects of utilizing the "Trio Wave" of cloud, analytic and big data. Anyone who thinks that the game changing technology is slow paced needs to think again. This book opens readers' eyes to the fact that the dynamics of global technology and business are changing. Moreover, it argues that businesses must transform themselves in alignment with the Trio Wave if they want to survive and excel in the future. CABology focuses on the art and science of optimizing the business goals to deliver true value and benefits to the customer through cloud, analytic and big data. It offers business of all sizes a structured and comprehensive way of discovering the real benefits, usage and operationalization aspects of utilizing the Trio Wave.

This book explores the ways in which the broad range of technologies that make up the smart city infrastructure can be harnessed to incorporate more playfulness into the day-to-day activities that take place within smart cities, making them not only more efficient but also more enjoyable for the people who live and work within their confines. The book addresses various topics that will be of interest to playable cities stakeholders, including the human-computer interaction and game designer communities, computer scientists researching sensor and actuator technology in public spaces, urban designers, and (hopefully) urban policymakers. This is a follow-up to another book on Playable Cities edited by Anton Nijholt and published in 2017 in the same book series, Gaming Media and Social Effects.

This book features research contributions from The Abel Symposium on Statistical Analysis for High Dimensional Data, held in Nyvagar, Lofoten, Norway, in May 2014. The focus of the symposium was on statistical and machine learning methodologies specifically developed for inference in "big data" situations, with particular reference to genomic applications. The contributors, who are among the most prominent researchers on the theory of statistics for high dimensional inference, present new theories and methods, as well as challenging applications and computational solutions. Specific themes include, among others, variable selection and screening, penalised regression, sparsity, thresholding, low dimensional structures, computational challenges, non-convex situations, learning graphical models, sparse covariance and precision matrices, semi- and non-parametric formulations, multiple testing, classification, factor models, clustering, and preselection. Highlighting cutting-edge research and casting light on future research directions, the contributions will benefit graduate students and researchers in computational biology, statistics and the machine learning community.