Functional Analysis Methods for Reliability Models

The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engineering and biology. This text shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential equations. The book is divided into three parts. The first considers linear theory and the second deals with quasilinear equations and existence problems for nonlinear equations, giving some general asymptotic results. Part III is devoted to frequency domain methods in the study of nonlinear equations. The entire text analyses n-dimensional rather than scalar equations, giving greater generality and wider applicability and facilitating generalizations to infinite-dimensional spaces. The book is generally self-contained and assumes only a basic knowledge of analysis. The many exercises illustrate the development of the theory and its applications, making this book accessible to res

John Barnes's collection of essays covers a variety of topics in sociology and anthropology, including lineage systems, social networks, colonialism, underlying assumptions of social science, and the significance of time in social analysis. Together they identify the author's particular view of social science: he is primarily interested in 'what really happens'. Rather than revamp articles written with a distinctive set of assumptions to bring them into line with current intellectual fashion, Professor Barnes has chosen to let them stand as they are, products of identifiable theoretical stance and modes of exposition. But introductory notes to each chapter set out the context in which the piece was originally written and draw attention to later publications and events that bear on it. An introduction discusses in detail the author's view of social science as the construction of models rather than a search for social laws, while the final chapter presents a model of the modelling proces

The success of the first edition of Generalized Linear Models led to the updated Second Edition, which continues to provide a definitive unified, treatment of methods for the analysis of diverse types

In the past few decades, methods of linear algebra have become central to economic analysis, replacing older tools such as the calculus. David Gale has provided the first complete and lucid treatment

Nicely produced text for graduate students, derived from a course on the "fundamentals of functional analysis" given at the University of Copenhagen in 1982/83, and intended to provide review of "what

The second edition of this book provides a conceptual understanding of analysis of variance. It outlines methods for analysing variance that are used to study the effect of one or more nominal variabl

There has been a surge of interest in methods of analysing data that typically arise from surveys of various kinds of experiments in which the number of people, animals, places or objects occupying various categories are counted. Such observations are known variously as category counts, contingency tables, or cross-tabulated or cross-classified categorical data. In this textbook, first published in 1984, Dr Fingleton describes some techniques centred on the log-linear model from the perspective of the social, behavioural and environmental scientist. His aim is to provide a route from conceptual appreciation to the practicalities of fitting models to data, and he therefore gives some consideration to appropriate computer software. The emphasis throughout is on data analysis and interpretation. Recently developed methods are clearly explained and mathematics has been kept to a minimum.

Hage and Harary present a comprehensive introduction to the use of graph theory in social and cultural anthropology. Using a wide range of empirical examples, the authors illustrate how graph theory can provide a language for expressing in a more exact fashion concepts and notions that can only be imperfectly rendered verbally. They show how graphs, digraphs and networks, together with their associated matrices and duality laws, facilitate the study of such diverse topics as mediation and power in exchange systems, reachability in social networks, efficiency in cognitive schemata, logic in kinship relations, and productivity in subsistence modes. The interaction between graphs and groups provides further means for the analysis of transformations in myths and permutations in symbolic systems. The totality of these structural models aids in the collection as well as the interpretation of field data. The presentation is clear, precise and readily accessible to the nonmathematical reader.

Provides--in an organized and compact source--a comprehensive guide to the principles of sampling design and statistical analysis methods. Reviews the principles of inference, sampling and statistical

Linear algebra and the study of matrix algorithms have become fundamental to the development of statistical models. Using a vector-space approach, this book provides an understanding of the major conc

The Good Building Book reimagines design and construction for optimal performance and value while minimising environmental impacts. Accessible yet thorough, this book provides provocative and empowering insights and critical analysis for building users and clients, architects, engineers, builders, developers, homeowners, and students of the built environment. It bridges the gap between theory and practice, offering practical rules of thumb and design strategies for a changing climate. From approaches to strategic design and principles of good details for building elements, The Good Building Book weaves together budget, quality and functionality. Drawing from extensive experience, award-winning architect Jon Broome and design engineer Nick Grant celebrate undervalued ideas that have stood the test of time. Organised as thought-provoking essays and illustrated throughout with helpful diagrams and vivid photographs, this solution-focused book guides readers through project development for

This volume discusses protocols for key laboratory techniques used to study Duchenne and Becker muscular dystrophies. The chapters in this book cover a wide array of topics such as biochemical assays, quantification of dystrophin and related proteins, and measurements of muscle physiology. The chapters also cover methods of DMD sequence analysis; processing and isolation of cells from muscle tissue; culture and study of patient-derived cells; and work with animal models of DMD. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Comprehensive and authoritative, Duchenne Muscular Dystrophy: Methods and Protocols is a valuable resource that will contribute to the standardization of practices in the study of dystrophin and dystrophin-related diseas

This volume covers the latest techniques used to study single nucleotide polymorphisms (SNP) genotyping, such as Sanger sequencing, qPCR, Nanopore sequencing, and PACE. The chapters in this book cover topics such as SNP nomenclature, databases, and significance of SNPs in various fields; PCR-based techniques like HRM and CD-PCR; isothermal amplification methodologies; high-throughput methods like FCS-based SNP genotyping; and guidance of data analysis, emphasizing the importance of quality control, statistical analysis, and visualization. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Cutting-edge and thorough, Genotyping: Methods and Protocols is a valuable resource for both new and experienced researchers who want to gain a deeper underst

This second edition volume brings together some of the best experts in the field of modern metabolomics to discuss the latest various techniques used to study specific metabolite classes, and metabolomics in bacterial and mammalian systems. The chapters in this book cover topics such as handling big data for metabolite identification and quantification, as well as building pathways for comparison with other omes, Isotopic Ratio Outlier Analysis (IROA) for quantitative analysis; cholesterol and derivatives in ocular tissues using LC-MS/MS methods; microbial metabolites analysis by mass spectrometry; the metabolomic study of tissues in different diseases; and NMR analysis in livestock metabolomics. It also includes several chapters on the emerging area of spatial metabolomics. Written in the highly successful Methods in Molecular Biology series format, the chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily repro

This 5th edition of this popular graduate textbook, presents a balanced and comprehensive treatment of both time and frequency domain methods with accompanying theory. It includes numerous examples using nontrivial data illustrate solutions to problems such as discovering natural and anthropogenic climate change, evaluating pain perception experiments using functional magnetic resonance imaging, and monitoring a nuclear test ban treaty. The R package 'astsa' has had major updates and the text will reflect those updates. In general, the graphics have been improved. New topics include random number generation, modeling and fitting predator-prey interactions, more emphasis on structural models, testing for linearity, discussion of EM algorithm is more extensive, Bayesian analysis of state space models and MCMC is more extensive (including new scripts in astsa), particle methods are introduced, stochastic volatility coverage is expanded, changepoint detection is introduced (new topic).The

This second edition guides readers through experimental and computational techniques on the study of tissue morphogenesis, with a specific focus on techniques to image, manipulate, model and analyze tissue morphogenesis. Chapters focus on imagining analysis of tissue morphogenesis, culture models of tissue morphogenesis, manipulating cells and tissues in vivo, novel model systems to investigate issue morphogenesis and computational models. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and key tips on troubleshooting and avoiding known pitfalls. Authoritative and practical, Tissue Morphogenesis: Methods and Protocols serves as a primary resource for both fundamental and practical understanding of the techniques used to uncover the basis of tissue morphogenesis.

Separation Process Engineering, Fifth Edition is a thorough update of the leading textbook for undergraduate chemical engineering core courses in separation methods or in mass transfer and separations. Phillip K. Wankat's proven approach combines quantitative rigor with a tutorial presentation guided by educational principles and the needs of today's learners. Wankat covers all industrially important purification methods in detail, including newer separation methods largely absent from older texts. Since distillation remains central to most process industries, Wankat thoroughly addresses flash distillation, batch and continuous distillation, multicomponent distillation, extractive and azeotropic distillation, and other techniques, adding valuable new coverage of column flash and cyclic distillation. Readers will also find detailed coverage of other traditional separation methods, including liquid-liquid extraction, absorption, and stripping. The Fifth Edition contains an entirely new c

Corpus linguistics continues to be a vibrant methodology applied across highly diverse fields of research in the language sciences. With the current steep rise in corpus sizes, computational power, statistical literacy and multi-purpose software tools, and inspired by neighbouring disciplines, approaches have diversified to an extent that calls for an intensification of the accompanying critical debate. Bringing together a team of leading experts, this book follows a unique design, comparing advanced methods and approaches current in corpus linguistics, to stimulate reflective evaluation and discussion. Each chapter explores the strengths and weaknesses of different datasets and techniques, presenting a case study and allowing readers to gauge methodological options in practice. Contributions also provide suggestions for further reading, and data and analysis scripts are included in an online appendix. This is an important and timely volume, and will be essential reading for any lingui

Attitudes towards spoken, signed, and written language are of significant interest to researchers in sociolinguistics, applied linguistics, communication studies, and social psychology. This is the first interdisciplinary guide to traditional and cutting-edge methods for the investigation of language attitudes. Written by experts in the field, it provides an introduction to attitude theory, helps readers choose an appropriate method, and guides through research planning and design, data collection, and analysis. The chapters include step-by-step instructions to illustrate and facilitate the use of the different methods as well as case studies from a wide range of linguistic contexts. The book also goes beyond individual methods, offering guidance on how to research attitudes in multilingual communities and in signing communities, based on historical data, with the help of priming, and by means of mixed-methods approaches.

In light of growing discourse on 'frugal innovation', this book offers novel approaches to innovation based on extensive empirical research. The study complements a decade of scholarly attention on frugal innovation by taking a research-based approach to innovation in resource-scarce and complex institutional contexts. The findings suggest that concepts such as frugal, reverse, jugaad, social, grassroots and inclusive innovation in fact represent heterogeneous assemblies of innovation for social, environmental and economic value. The conceptual framework invites attention to more plural sources and elements in the study of models of innovation to inspire further research in the fields of strategy, innovation, entrepreneurship, economic sociology and development studies. The design framework offers models, metrics and competencies for practitioners and policymakers to identify, evaluate and design frugal innovations. The comprehensive view of frugal innovation demonstrates how firms can

The Genetic Analysis of Complex Disease provides a comprehensive introduction to the various strategies, designs, and methods of analysis for the study of human complex genetic disease. Chapt

Discover a comprehensive set of tools and techniques for analyzing the impact of uncertainty on large-scale engineered systems. Providing accessible yet rigorous coverage, it showcases the theory through detailed case studies drawn from electric power application problems, including the impact of integration of renewable-based power generation in bulk power systems, the impact of corrupted measurement and communication devices in microgrid closed-loop controls, and the impact of components failures on the reliability of power supply systems. The case studies also serve as a guide on how to tackle similar problems that appear in other engineering application domains, including automotive and aerospace engineering. This is essential reading for academic researchers and graduate students in power systems engineering, and dynamic systems and control engineering.

Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research.

Become proficient in deriving insights from time-series data and analyzing a model's performanceKey Features: Explore popular and modern machine learning methods including the latest online and deep learning algorithmsLearn to increase the accuracy of your predictions by matching the right model with the right problemMaster time-series via real-world case studies on operations management, digital marketing, finance, and healthcareBook Description: Machine learning has emerged as a powerful tool to understand hidden complexities in time-series datasets, which frequently need to be analyzed in areas as diverse as healthcare, economics, digital marketing, and social sciences. These datasets are essential for forecasting and predicting outcomes or for detecting anomalies to support informed decision making.This book covers Python basics for time-series and builds your understanding of traditional autoregressive models as well as modern non-parametric models. You will become confident with

Seismic hazard and risk analyses underpin the loadings prescribed by engineering design codes, the decisions by asset owners to retrofit structures, the pricing of insurance policies, and many other activities. This is a comprehensive overview of the principles and procedures behind seismic hazard and risk analysis. It enables readers to understand best practises and future research directions. Early chapters cover the essential elements and concepts of seismic hazard and risk analysis, while later chapters shift focus to more advanced topics. Each chapter includes worked examples and problem sets for which full solutions are provided online. Appendices provide relevant background in probability and statistics. Computer codes are also available online to help replicate specific calculations and demonstrate the implementation of various methods. This is a valuable reference for upper level students and practitioners in civil engineering, and earth scientists interested in engineering se

Turbulence and the associated turbulent transport of scalar and vector fields is a classical physics problem that has dazzled scientists for over a century, yet many fundamental questions remain. Igor Rogachevskii, in this concise book, systematically applies various analytical methods to the turbulent transfer of temperature, particles and magnetic field. Introducing key concepts in turbulent transport including essential physics principles and statistical tools, this interdisciplinary book is suitable for a range of readers such as theoretical physicists, astrophysicists, geophysicists, plasma physicists, and researchers in fluid mechanics and related topics in engineering. With an overview to various analytical methods such as mean-field approach, dimensional analysis, multi-scale approach, quasi-linear approach, spectral tau approach, path-integral approach and analysis based on budget equations, it is also an accessible reference tool for advanced graduates, PhD students and resea

This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will all

Zika Virus Impact, Diagnosis, Control, and Models: Volume 2: The Neuroscience of Zika examines diagnosis, vaccines, and potential therapy methods for Zika virus syndrome. This book also details the ne

Macroevolutionary inference has historically been treated as a two-step process, involving the inference of a tree, and then inference of a macroevolutionary model using that tree. Newer models blend the two steps. These methods make more complete use of fossils than the previous generation of Bayesian phylogenetic models. They also involve many more parameters than prior models, including parameters about which empiricists may have little intuition. In this Element, we set forth a framework for fitting complex, hierarchical models. The authors ultimately fit and use a joint tree and diversification model to estimate a dated phylogeny of the Cincta (Echinodermata), a morphologically distinct group of Cambrian echinoderms that lack the fivefold radial symmetry characteristic of extant members of the phylum. Although the phylogeny of cinctans remains poorly supported in places, this Element shows how models of character change and diversification contribute to understanding patterns of p

This textbook bypasses the need for advanced mathematics by providing in-text computer code, allowing students to explore Bayesian data analysis without the calculus background normally considered a prerequisite for this material. Now, students can use the best methods without needing advanced mathematical techniques. This approach goes beyond “frequentist” concepts of p-values and null hypothesis testing, using the full power of modern probability theory to solve real-world problems. The book offers a fully self-contained course, which demonstrates analysis techniques throughout with worked examples crafted specifically for students in the behavioral and neural sciences. The book presents two general algorithms that help students solve the measurement and model selection (also called “hypothesis testing”) problems most frequently encountered in real-world applications.

This textbook bypasses the need for advanced mathematics by providing in-text computer code, allowing students to explore Bayesian data analysis without the calculus background normally considered a prerequisite for this material. Now, students can use the best methods without needing advanced mathematical techniques. This approach goes beyond “frequentist” concepts of p-values and null hypothesis testing, using the full power of modern probability theory to solve real-world problems. The book offers a fully self-contained course, which demonstrates analysis techniques throughout with worked examples crafted specifically for students in the behavioral and neural sciences. The book presents two general algorithms that help students solve the measurement and model selection (also called “hypothesis testing”) problems most frequently encountered in real-world applications.

An introduction to the theory and engineering practice that underpins the component design and analysis of radial flow turbocompressors. Drawing upon an extensive theoretical background and years of practical experience, the authors provide descriptions of applications, concepts, component design, analysis tools, performance maps, flow stability, and structural integrity, with illustrative examples. Features wide coverage of all types of radial compressor over many applications unified by the consistent use of dimensional analysis. Discusses the methods needed to analyse the performance, flow, and mechanical integrity that underpin the design of efficient centrifugal compressors with good flow range and stability. Includes explanation of the design of all radial compressor components, including inlet guide vanes, impellers, diffusers, volutes, return channels, de-swirl vanes and side-streams. Suitable as a reference for advanced students of turbomachinery, and a perfect tool for practi

Network thinking and network analysis are rapidly expanding features of ecological research. Network analysis of ecological systems include representations and modelling of the interactions in an ecosystem, in which species or factors are joined by pairwise connections. This book provides an overview of ecological network analysis including generating processes, the relationship between structure and dynamic function, and statistics and models for these networks. Starting with a general introduction to the composition of networks and their characteristics, it includes details on such topics as measures of network complexity, applications of spectral graph theory, how best to include indirect species interactions, and multilayer, multiplex and multilevel networks. Graduate students and researchers who want to develop and understand ecological networks in their research will find this volume inspiring and helpful. Detailed guidance to those already working in network ecology but looking

Network thinking and network analysis are rapidly expanding features of ecological research. Network analysis of ecological systems include representations and modelling of the interactions in an ecosystem, in which species or factors are joined by pairwise connections. This book provides an overview of ecological network analysis including generating processes, the relationship between structure and dynamic function, and statistics and models for these networks. Starting with a general introduction to the composition of networks and their characteristics, it includes details on such topics as measures of network complexity, applications of spectral graph theory, how best to include indirect species interactions, and multilayer, multiplex and multilevel networks. Graduate students and researchers who want to develop and understand ecological networks in their research will find this volume inspiring and helpful. Detailed guidance to those already working in network ecology but looking

Business Research Methods, 14e, contains stand-alone chapters that reflect research industry practices using real examples from all areas of business. In collaborations with over two dozen industry researchers, Schindler writes a real-world research methods book that distinguishes between big data analytics and small data with an emphasis on decision making. She eloquently covers ethical issues and their solutions, and has added more coverage of process models, sampling how-to, and data preparation.Conscious of the different learning styles of students, Schindler provides appropriate cues for both visual and verbal learners through the use of in-text exhibits, bolded key terms, conceptual photos throughout and research though-leader quotes in PowerPoints for each chapter. She also used various interim GreenBook Research Industry Trends (GRIT) reports to guide the research for this revision. The latest GRIT Report is based on the largest study of research suppliers and users ever conduc