Probability and Bayesian Modeling is an introduction to probability and Bayesian thinking for undergraduate students with a calculus background. The first part of the book provides a broad view of probability including foundations, conditional probability, discrete and continuous distributions, and joint distributions. Statistical inference is presented completely from a Bayesian perspective. The text introduces inference and prediction for a single proportion and a single mean from Normal sampling. After fundamentals of Markov Chain Monte Carlo algorithms are introduced, Bayesian inference is described for hierarchical and regression models including logistic regression. The book presents several case studies motivated by some historical Bayesian studies and the authors’ research. This text reflects modern Bayesian statistical practice. Simulation is introduced in all the probability chapters and extensively used in the Bayesian material to simulate from the posterior and predictive distributions. One chapter describes the basic tenets of Metropolis and Gibbs sampling algorithms; however several chapters introduce the fundamentals of Bayesian inference for conjugate priors to deepen understanding. Strategies for constructing prior distributions are described in situations when one has substantial prior information and for cases where one has weak prior knowledge. One chapter introduces hierarchical Bayesian modeling as a practical way of combining data from different groups. There is an extensive discussion of Bayesian regression models including the construction of informative priors, inference about functions of the parameters of interest, prediction, and model selection. The text uses JAGS (Just Another Gibbs Sampler) as a general-purpose computational method for simulating from posterior distributions for a variety of Bayesian models. An R package ProbBayes is available containing all of the book datasets and special functions for illustrating concepts from the book. A complete solutions manual is available for instructors who adopt the book in the Additional Resources section.
An extensive text reference includes around an asteroid – a new and important topic Covers the most updated contents in spacecraft dynamics and control, both in theory and application Introduces the application to motion around asteroids – a new and important topic Written by a very experienced researcher in this area
This clear and self-contained review of the last four decades of research highlights in the hot field of nonlinear optical (NLO) crystals, particularly of borate-based ultraviolet and deep-ultraviolet NLO crystals, covers three major subjects: the structure-property relationship in borate crystals, the structural and optical characteristics of various promising borate crystals, and their fruitful applications in a wide range of scientific and technological fields. Edited by the discoverers and users of these optical borate crystals, this is a readily accessible reading for semiconductor, applied and solid state physicists, materials scientists, solid state chemists, manufacturers of optoelectronic devices, and those working in the optical industry.
This book examines the representation of women in relation to violence in Chinese crime films made on the mainland, and in Hong Kong and Taiwan. It introduces a new trajectory in the investigation of the cinematic representation of female figures in relation to gender issues by interweaving Western feminist and postfeminist critiques with traditional Chinese sociocultural discourse. An in-depth narrative identifies three major representations of women: the female victim, the female perpetrator of violence, and the female professional. Salience to contemporary society shows up in many ways, passive and active, all of which reinforce a sense of male dominance and patriarchal power. Analysis bridges the gap in the field of female representation in Chinese culture/Chinese film studies by systematically examining Chinese crime films as a genre in its own right. The depiction of female victimisation at the hands of men in the selected crime films consolidates the notion of women's vulnerability and inferiority as perceived in Chinese gender discourse. On the other hand, the representation of active female perpetrators of violence, and as professional working women, presents what may be seen as a postfeminist masquerade a cultural strategy that shows an ostensible impression of female empowerment albeit that it reinforces traditional gender hierarchies in the Chinese gender context. While graphic female victimisation is commonly presented, female perpetrators of violence and females in professional roles in crime films are shown to remain under the control of male authority, leading to the conclusion that Chinese crime films are produced in a context of heavy patriarchal power and misogyny.
Modeling and Inverse Problems in the Presence of Uncertainty collects recent research-including the authors' own substantial projects-on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation i
This is the first volume of a two-volume set on the names of China, focusing on the country's official titles throughout history. Using interdisciplinary approaches from fields such as history, geography, ethnic studies, linguistics, psychology and toponymy, this two-volume set examines the origin and evolution of China's names over more than 4,000 years of history. The first volume examines the official names of the country given by the rulers or government, including the names of the imperial dynasties, from the earliest Xia to the last Qing, and the title of the Republic of China, which symbolises a new era in national naming. The author examines the common features as well as the cultural contexts and historical traditions that underlie these diverse titles. The origins and meanings of national titles, their secondary connotations, evolving understandings and related implications are explored. The book also analyses the lifespan and spatial references of these national titles. This book will appeal to both academic and general readers interested in Chinese history, Chinese historical geography and Chinese toponymy.
To understand Taoism is to understand the roots of contemporary Chinese culture. This hugely significant new book from Hu Fuchen highlights the significance of Taoism in modern day China, and supplies detailed information covering all aspects of a philosophical and religious tradition which is followed by as many as 400 million people worldwide. Comprehensive and user-friendly, the author outlines the principle theories and categories of Taoism covering each aspect in great detail. Whether new to the subject or a follower, this essential book will enable you to better understand all aspects Taoism and appreciate its central role within a newly reformed China.
The three kingdoms will rise, who will fight, and see how I can achieve my own hegemony in this chaotic world. The world is filled with beauties, can it be settled by both sides?
The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems. The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.
Gives a theory $S$-modules for Morel and Voevodsky's category of algebraic spectra over an arbitrary field $k$. This work also defines universe change functors, as well as other important constructions analogous to those in topology, such as the twisted half-smash product.
The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions • Algebraic numbers • Algebraic geometry • Height functions • The abc-conjecture • Roth's theorem • Subspace theorems • Vojta's conjectures • L-functions.
The food plants of an area provide the material basis for the survival of its population, and furnish inspiring stimuli for cultural development. There are two parts in this book. Part 1 introduces the cultural aspects of Chinese food plants and the spread of Chinese culinary culture to the world. It also describes how the botanical and cultural information was acquired; what plants have been selected by the Chinese people for food; how these foodstuffs are produced, preserved, and prepared; and what the western societies can learn from Chinese practices. Part 2 provides the botanical identification of the plant kingdom for the esculents used in China as food and/or as beverage. The plants are illustrated with line drawings or composite photographic plates. This book is useful not only as a text for general reading, but also as a work reference. Naturally, it would be a useful addition to the general collection of any library.
Saturation nonlinearities are ubiquitous in engineering systems. In control systems, every physical actuator or sensor is subject to saturation owing to its maximum and minimum limits. A digital filter is subject to saturation if it is implemented in a finite word length format. Saturation nonlinearities are also purposely introduced into engineering systems such as control sys tems and neural network systems. Regardless of how saturation arises, the analysis and design of a system that contains saturation nonlinearities is an important problem. Not only is this problem theoretically challenging, but it is also practically imperative. This book intends to study control systems with actuator saturation in a systematic way. It will also present some related results on systems with state saturation or sensor saturation. Roughly speaking, there are two strategies for dealing with actuator sat uration. The first strategy is to neglect the saturation in the first stage of the control design process, and then to add some problem-specific schemes to deal with the adverse effects caused by saturation. These schemes, known as anti-windup schemes, are typically introduced using ad hoc modifications and extensive simulations. The basic idea behind these schemes is to intro duce additional feedbacks in such a way that the actuator stays properly within its limits. Most of these schemes lead to improved performance but poorly understood stability properties.
Presents a firm mathematical basis for the use of response-adaptive randomization procedures in practice The Theory of Response-Adaptive Randomization in Clinical Trials is the result of the authors' ten-year collaboration as well as their collaborations with other researchers in investigating the important questions regarding response-adaptive randomization in a rigorous mathematical framework. Response-adaptive allocation has a long history in biostatistics literature; however, largely due to the disastrous ECMO trial in the early 1980s, there is a general reluctance to use these procedures. This timely book represents a mathematically rigorous subdiscipline of experimental design involving randomization and answers fundamental questions, including: How does response-adaptive randomization affect power? Can standard inferential tests be applied following response-adaptive randomization? What is the effect of delayed response? Which procedure is most appropriate and how can "most appropriate" be quantified? How can heterogeneity of the patient population be incorporated? Can response-adaptive randomization be performed with more than two treatments or with continuous responses? The answers to these questions communicate a thorough understanding of the asymptotic properties of each procedure discussed, including asymptotic normality, consistency, and asymptotic variance of the induced allocation. Topical coverage includes: The relationship between power and response-adaptive randomization The general result for determining asymptotically best procedures Procedures based on urn models Procedures based on sequential estimation Implications for the practice of clinical trials Useful for graduate students in mathematics, statistics, and biostatistics as well as researchers and industrial and academic biostatisticians, this book offers a rigorous treatment of the subject in order to find the optimal procedure to use in practice.
The subject of the book is Diophantine approximation and Nevanlinna theory. This book proves not just some new results and directions but challenging open problems in Diophantine approximation and Nevanlinna theory. The authors’ newest research activities on these subjects over the past eight years are collected here. Some of the significant findings are the proof of Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, generalized abc-conjecture, and more.
Embedded Software Development: The Open-Source Approach delivers a practical introduction to embedded software development, with a focus on open-source components. This programmer-centric book is written in a way that enables even novice practitioners to grasp the development process as a whole. Incorporating real code fragments and explicit, real-world open-source operating system references (in particular, FreeRTOS) throughout, the text: Defines the role and purpose of embedded systems, describing their internal structure and interfacing with software development tools Examines the inner workings of the GNU compiler collection (GCC)-based software development system or, in other words, toolchain Presents software execution models that can be adopted profitably to model and express concurrency Addresses the basic nomenclature, models, and concepts related to task-based scheduling algorithms Shows how an open-source protocol stack can be integrated in an embedded system and interfaced with other software components Analyzes the main components of the FreeRTOS Application Programming Interface (API), detailing the implementation of key operating system concepts Discusses advanced topics such as formal verification, model checking, runtime checks, memory corruption, security, and dependability Embedded Software Development: The Open-Source Approach capitalizes on the authors’ extensive research on real-time operating systems and communications used in embedded applications, often carried out in strict cooperation with industry. Thus, the book serves as a springboard for further research.
This book is a short introduction to the engineering principles of harnessing the vast potential of microorganisms, and animal and plant cells in making biochemical products. It was written for scientists who have no background in engineering, and for engineers with minimal background in biology. The overall subject dealt with is process. But the coverage goes beyond the process of biomanufacturing in the bioreactor, and extends to the factory of cell’s biosynthetic machinery. Starting with an overview of biotechnology and organism, engineers are eased into biochemical reactions and life scientists are exposed to the technology of production using cells. Subsequent chapters allow engineers to be acquainted with biochemical pathways, while life scientist learn about stoichiometric and kinetic principles of reactions and cell growth. This leads to the coverage of reactors, oxygen transfer and scale up. Following three chapters on biomanufacturing of current and future importance, i.e. cell culture, stem cells and synthetic biology, the topic switches to product purification, first with a conceptual coverage of operations used in bioseparation, and then a more detailed analysis to provide a conceptual understanding of chromatography, the modern workhorse of bioseparation. Drawing on principles from engineering and life sciences, this book is for practitioners in biotechnology and bioengineering. The author has used the book for a course for advanced students in both engineering and life sciences. To this end, problems are provided at the end of each chapter.
The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory. Particular emphasis is placed on studying the relations between the different approaches. Readers are assumed to be familiar with probability theory and stochastic analysis, although the mathematical techniques used in the book are thoroughly exposed and some of the necessary prerequisites, such as classical white noise theory and fractional calculus, are recalled in the appendices. This book will be a valuable reference for graduate students and researchers in mathematics, biology, meteorology, physics, engineering and finance.
The Internet of Things (IoT) has attracted strong interest from both academia and industry. Unfortunately, it has also attracted the attention of hackers. Security and Privacy in Internet of Things (IoTs): Models, Algorithms, and Implementations brings together some of the top IoT security experts from around the world who contribute their knowledg
“Autumn wind, autumn rain, fill my heart with sorrow”—these were the last words of Qiu Jin (1875–1907), written before she was beheaded for plotting to overthrow the Qing empire. Eventually, she would be celebrated as a Republican martyr and China’s first feminist, her last words committed to memory by schoolchildren. Yet during her lifetime she was often seen as eccentric, even deviant; in her death, and still more in the forced abandonment of her remains, the authorities had wanted her to disappear into historical oblivion.Burying Autumn tells the story of the enduring friendship between Qiu Jin and her sworn-sisters Wu Zhiying and Xu Zihua, who braved political persecution to give her a proper burial. Formed amidst social upheaval, their bond found its most poignant expression in Wu and Xu’s mourning for Qiu. The archives of this friendship—letters, poems, biographical sketches, steles, and hand-copied sutra—vividly display how these women understood the concrete experiences of modernity, how they articulated those experiences through traditional art forms, and how their artworks transformed the cultural traditions they invoked even while maintaining deep cultural roots. In enabling Qiu Jin to acquire historical significance, their friendship fulfilled its ultimate socially transformative potential.
For a given meromorphic function I(z) and an arbitrary value a, Nevanlinna's value distribution theory, which can be derived from the well known Poisson-Jensen for mula, deals with relationships between the growth of the function and quantitative estimations of the roots of the equation: 1 (z) - a = O. In the 1920s as an application of the celebrated Nevanlinna's value distribution theory of meromorphic functions, R. Nevanlinna [188] himself proved that for two nonconstant meromorphic func tions I, 9 and five distinctive values ai (i = 1,2,3,4,5) in the extended plane, if 1 1- (ai) = g-l(ai) 1M (ignoring multiplicities) for i = 1,2,3,4,5, then 1 = g. Fur 1 thermore, if 1- (ai) = g-l(ai) CM (counting multiplicities) for i = 1,2,3 and 4, then 1 = L(g), where L denotes a suitable Mobius transformation. Then in the 19708, F. Gross and C. C. Yang started to study the similar but more general questions of two functions that share sets of values. For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.
Written by a well-known expert in fractional stochastic calculus, this book offers a comprehensive overview of Gaussian analysis, with particular emphasis on nonlinear Gaussian functionals. In addition, it covers some topics that are not frequently encountered in other treatments, such as Littlewood-Paley-Stein, etc. This coverage makes the book a valuable addition to the literature. Many results presented in this book were hitherto available only in the research literature in the form of research papers by the author and his co-authors.'Mathematical Reviews ClippingsAnalysis of functions on the finite dimensional Euclidean space with respect to the Lebesgue measure is fundamental in mathematics. The extension to infinite dimension is a great challenge due to the lack of Lebesgue measure on infinite dimensional space. Instead the most popular measure used in infinite dimensional space is the Gaussian measure, which has been unified under the terminology of 'abstract Wiener space'.Out of the large amount of work on this topic, this book presents some fundamental results plus recent progress. We shall present some results on the Gaussian space itself such as the Brunn-Minkowski inequality, Small ball estimates, large tail estimates. The majority part of this book is devoted to the analysis of nonlinear functions on the Gaussian space. Derivative, Sobolev spaces are introduced, while the famous Poincaré inequality, logarithmic inequality, hypercontractive inequality, Meyer's inequality, Littlewood-Paley-Stein-Meyer theory are given in details.This book includes some basic material that cannot be found elsewhere that the author believes should be an integral part of the subject. For example, the book includes some interesting and important inequalities, the Littlewood-Paley-Stein-Meyer theory, and the Hörmander theorem. The book also includes some recent progress achieved by the author and collaborators on density convergence, numerical solutions, local times.
This book offers the first comprehensive introduction to the inerter, its successful application in Formula One racing, and other state-of-the-art applications in vibration control. It presents fundamental analysis results and design methods for inerter-based vibration control systems. Providing comprehensive information on the inerter, a pioneering mechanical element invented by Prof. Malcolm C. Smith at Cambridge University in 2002, it will be of considerable interest to readers with a background in control theory, mechanical vibration or related subjects.
Revolving Star Passage Technique, Universe level of all living things. When he saw the beautiful CEO giving him a high reward for his live broadcast, he used his martial arts to step on the muddy water again. Rushing into the evil realm, chasing after his imperial sister and flirting with lolis ... In fact, the storm was getting bigger and bigger, until...
My life is not complete, I was born and my mother died.""In order to protect me, my grandmother died, my uncle died, and my father disappeared."It wasn't until the end that I realized it was all because.
This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry – as differential geometry in general – has an exciting intersection area with other fields of interest, like partial differential equations, global analysis, convex geometry and Riemann surfaces. The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions, like the solutions of two different affine Bernstein conjectures, due to Chern and Calabi, respectively. Moreover, a large subclass of hyperbolic affine spheres were classified in recent years, namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and new methods of proof.
This book highlights the novel photoelectric detection technique on derived attributes of targets. Photoelectric detection on derived attributes of targets is a new target detection and monitoring method. It is achieved by acquiring three types of attributes of the target, including those that reflect the essential features of parts of the target, those directly generated from the target, and those synthesized by the target features. The book introduces the classification of derived attributes of targets and describes typical detection methods. Emphases are put on laser detection of aerial moving targets, using derived attributes such as the disturbance of atmospheric wind fields, trailing vortexes, and the disturbance of atmospheric components. The authors also elaborate on visible light imaging detection using derived attributes such as retroreflection and the identification of target carriers. Besides, the synthetic attributes processing of integrated aerospace images is introduced for the detection of targets on the ground and sea surfaces. This book can be used as a good reference for researchers engaged in the fields of photoelectric detection, target detection and image processing, and as a reference book for senior undergraduates and postgraduates in relevant majors.
Statistical experimental design is currently used as a quality control technique to achieve product excellence at the lowest overall cost. It can also function as a powerful tool to optimize food products and/or processes, to accelerate food development cycles, reduce research costs, facilitate the transition of products from research and development to manufacturing and troubleshoot manufacturing problems. Food Product Design: A Computer-Aided Statistical Approach familiarizes readers with the methodology of statistical experimental design, and its application in food product design, with the aid of commonly available modern commercial software. Food Product Design presents basic concepts of food product design, then focuses on the most effective statistical techniques and corresponding computer applications for trial design, modeling, and experimental data analysis. The book presents very few theories about mathematics and statistics. Instead, it contains detailed descriptions of how to use popular computer software to solve the real mathematical and statistical problems that occur in product design. Even those with very limited knowledge of statistics and mathematics will find this a useful and highly practical book. Food Product Design: A Computer-Aided Statistical Approach will be a valuable tool for professional food engineers, technologists, scientists, and industrial personnel who want to update and expand their knowledge about computer-aided statistical methods in the field of food product design. Those involved in applied research at universities in food and agriculture, biological and chemical engineering, and statistics will also find it useful and informative.
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1965.
In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.
The Steiner tree problem is one of the most important combinatorial optimization problems. It has a long history that can be traced back to the famous mathematician Fermat (1601-1665). This book studies three significant breakthroughs on the Steiner tree problem that were achieved in the 1990s, and some important applications of Steiner tree problems in computer communication networks researched in the past fifteen years. It not only covers some of the most recent developments in Steiner tree problems, but also discusses various combinatorial optimization methods, thus providing a balance between theory and practice.
Analysis and Design of Nonlinear Control Systems" provides a comprehensive and up to date introduction to nonlinear control systems, including system analysis and major control design techniques. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. Scientists and engineers engaged in the field of Nonlinear Control Systems will find it an extremely useful handy reference book. Dr. Daizhan Cheng, a professor at Institute of Systems Science, Chinese Academy of Sciences, has been working on the control of nonlinear systems for over 30 years and is currently a Fellow of IEEE and a Fellow of IFAC, he is also the chairman of Technical Committee on Control Theory, Chinese Association of Automation.
This study in German offers profound insights into the life and thoughts of Wang Guowei (1877-1927). Like many intellectuals who strongly perceived the necessity of reforms in the waning years of the Late Qing dynasty, i.e. after the Opium wars, Wang sought to strengthen China's position against foreign, in particular Western, powers. Contrary to earlier approaches, which either advocated a close adherence to Confucian traditions or tried to adapt only elements of Western material culture, mainly industrial and military technology, Wang Guowei aimed at reviving traditional Chinese culture by analysing its source texts using a modern scientific approach (and thereby started the discipline of guoxue [national studies]) and simultaneously adapting compatible elements of Western immaterial culture. Thus, Wang became known as an authority on Chinese paleography as well as on German philosophy, especially Kantian epistomology.
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