In this book, expansions of functions in infinite series and infinite product and the asymptotic expansion of functions are discussed. This may be the best reference book on Special Functions.
The recent appearance of wavelets as a new computational tool in applied mathematics has given a new impetus to the field of numerical analysis of Fredholm integral equations. This book gives an account of the state of the art in the study of fast multiscale methods for solving these equations based on wavelets. The authors begin by introducing essential concepts and describing conventional numerical methods. They then develop fast algorithms and apply these to solving linear, nonlinear Fredholm integral equations of the second kind, ill-posed integral equations of the first kind and eigen-problems of compact integral operators. Theorems of functional analysis used throughout the book are summarised in the appendix. The book is an essential reference for practitioners wishing to use the new techniques. It may also be used as a text, with the first five chapters forming the basis of a one-semester course for advanced undergraduates or beginning graduates.
This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.
Control over Communication Networks Advanced and systematic examination of the design and analysis of networked control systems and multi-agent systems Control Over Communication Networks provides a systematic and nearly self-contained description of the analysis and design of networked control systems (NCSs) and multi-agent systems (MASs) over imperfect communication networks, with a primary focus on fading channels and delayed channels. The text characterizes the effect of communication channels on the stability and performance of NCSs, and further studies the joint impact of communication channels and network topology on the consensus of MASs. By integrating communication and control theory, the four highly-qualified authors present fundamental results concerning the stabilization of NCSs over power-constrained fading channels and Gaussian finite-state Markov channels, linear-quadratic optimal control of NCSs with random input gains, optimal state estimation with intermittent observations, consensus of MASs with communication delay and packet dropouts, and synchronization of delayed Vicsek models. Simulation results are given in each chapter to demonstrate the developed analysis and synthesis approaches. The references are comprehensive and up-to-date, enabling further study for readers. Topics covered in Control Over Communication Networks include: Basic foundational knowledge, including control theory, communication theory, and graph theory, to enable readers to understand more complex topics The stabilization, optimal control, and remote state estimation problems of linear systems over channels with fading, signal-to-noise constraints, or intermittent measurements Consensus problems of MASs over fading/delayed channels, with directed and undirected communication graphs Control Over Communication Networks provides a valuable unified platform for understanding the analysis and design of NCSs and MASs for researchers, control engineers working on control systems over communication networks, and mechanical engineers working on unmanned systems. Preliminary knowledge of linear system theory and matrix analysis is required.
Nature is an attractive source of therapeutic and preventive compounds, and with such chemical diversity found in millions of species of plants, over 60% of currently used anticancer agents are derived from natural sources. Cancer Inhibitors from Chinese Natural Medicines summarizes new advancements in the experimental and clinical research of a selection of promising cancer inhibitors. It focuses on the latest scientific investigations of 238 Chinese herbs and discusses important aspects, including the types of inhibitors in the herbs, level of potency, mechanisms, and the advances in modification and formulation. Formulations from nano-particulates and immunotoxins in cancer inhibitors are also included in this comprehensive resource.
She had given birth to a child on the first day of her transmigration.As someone who was pregnant before her marriage,And with all the scorn and abuse of the world,She became a complete and utter slut.And that damn stinky man ate himself dry and didn't show up,That night, she still vaguely remembered how he had taken and plundered her.Their bodies intertwined, their necks blazing hot, their breaths tempting ...F * ck, get the hell out here!
This book offers an intimate and personal look at what China's poverty alleviation has meant for individuals. The dramatic progress in reducing poverty in China over the past three decades is well known. According to the World Bank, more than 500 million people were lifted out of extreme poverty as China’s poverty rate fell from 88 percent in 1981 to 6.5 percent in 2012. Behind this statistic are the millions of families in rural China who have moved from extreme poverty to a more comfortable way of life in modern China. This is the story of four generations of one such family. Grandma Zhen and her eight children have faced the hardship of war, the great famine of 1958-1960, the Cultural Revolution of 1967-1977 and Opening-up and Reform. They have had to adjust to a rapidly changing culture that has affected all aspects of their lives, including marriage, the one-child policy, and education. Through incredible endurance and hard work, they have not only survived, but thrived. This book will be of value to anthropologists, developmental economists, sinophiles, and more.
Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and results of the process. The study of the interplay of growth and convection flow during the solidification has been an important subject in the broad fields of materials science, condensed matter physics, fluid physics, micro-gravity science, etc. The present book is concerned with the dynamics of free dendritic growth with convective flow in the melt. It systematically presents the results obtained in terms of a unified asymptotic approach in the framework of the interfacial wave (IFW) theory. In particular, the book explores the effect of the various types of convection flow on the selection and pattern formation of dendritic growth based on the global stability analysis.
This text is aimed at students and professionals working on random processes in various areas, including physics and finance. The material presents the theoretical framework which Melvin Lax taught at the City University of New York from 1985 to 2001.
This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV equation, the KP equation, the nonlinear Schrodinger equation, the Davey and Stewartson equations, the Boussinesq equations in geophysics, the Navier-Stokes equations and the boundary layer problems. In order to solve them, I have employed the grading technique, matrix differential operators, stable-range of nonlinear terms, moving frames, asymmetric assumptions, symmetry transformations, linearization techniques and special functions. The book is self-contained and requires only a minimal understanding of calculus and linear algebra, making it accessible to a broad audience in the fields of mathematics, the sciences and engineering. Readers may find the exact solutions and mathematical skills needed in their own research.
Providing a thorough introduction to the field of soft computing techniques, Intelligent Systems: Modeling, Optimization, and Control covers every major technique in artificial intelligence in a clear and practical style. This book highlights current research and applications, addresses issues encountered in the development of applied systems, and describes a wide range of intelligent systems techniques, including neural networks, fuzzy logic, evolutionary strategy, and genetic algorithms. The book demonstrates concepts through simulation examples and practical experimental results. Case studies are also presented from each field to facilitate understanding.
This clearly written, comprehensively indexed, and reader-friendly manual contains more than 350 monographs -- each describing the functions, indications, combinations, and applications of commonly used Chinese Materia Medica. Comprehensive monographs contain: details of main ingredients, taste and nature, channels entered, functions and indications, common dosage, precautions and contraindications. Unique tabular format lists provide "at-a-glance" accessibility. Summary tables in each chapter help you obtain quick overviews of the material covered. Unique coverage on toxicity and legal status. Comprehensive list of appendices and indices -- listings are by pinyin, pharmaceutical, and English names for easy reference.
Appendix 164 3. A 3. A. 1 Approximate Estimation of Fundamental Matrix from General Matrix 164 3. A. 2 Estimation of Affine Transformation 165 4 RECOVERY OF EPIPOLAR GEOMETRY FROM LINE SEGMENTS OR LINES 167 Line Segments or Straight Lines 168 4. 1 4. 2 Solving Motion Using Line Segments Between Two Views 173 4. 2. 1 Overlap of Two Corresponding Line Segments 173 Estimating Motion by Maximizing Overlap 175 4. 2. 2 Implementation Details 4. 2. 3 176 Reconstructing 3D Line Segments 4. 2. 4 179 4. 2. 5 Experimental Results 180 4. 2. 6 Discussions 192 4. 3 Determining Epipolar Geometry of Three Views 194 4. 3. 1 Trifocal Constraints for Point Matches 194 4. 3. 2 Trifocal Constraints for Line Correspondences 199 4. 3. 3 Linear Estimation of K, L, and M Using Points and Lines 200 4. 3. 4 Determining Camera Projection Matrices 201 4. 3. 5 Image Transfer 203 4. 4 Summary 204 5 REDEFINING STEREO, MOTION AND OBJECT RECOGNITION VIA EPIPOLAR GEOMETRY 205 5. 1 Conventional Approaches to Stereo, Motion and Object Recognition 205 5. 1. 1 Stereo 205 5. 1. 2 Motion 206 5. 1. 3 Object Recognition 207 5. 2 Correspondence in Stereo, Motion and Object Recognition as 1D Search 209 5. 2. 1 Stereo Matching 209 xi Contents 5. 2. 2 Motion Correspondence and Segmentation 209 5. 2. 3 3D Object Recognition and Localization 210 Disparity and Spatial Disparity Space 210 5.
The book provides general knowledge of automatic control engineering and its applications. Providing an overview of control theory and systems, the chapters introduce transfer functions, modeling of control systems, automatic control systems, block diagrams, and signal flow graphs. While control system analysis and design are accompanied by root-locus methods and frequency response analyses, distributed control systems, nonlinarity in control systems including Z-transformation are also presented. With straightforward demonstrations, examples, and multiple-choice questions, this book can be used as a reference textbook for electrical and electronics engineering, computer control engineering, automation engineering, mechatronics engineering, mechanics, robotics, AI control systems, hydraulics, process engineering, safety control engineering, aeronautical and aerospace engineering, auto-pilot system, decision-making system, and stock exchange, and will be suitable for majors, non-majors, and experts in the field of science and technology.
I actually transmigrated to the Wasteland and became the Celestial Emperor? Hehe, Nuwa, Loess, Yaochi, Changxi, Western Queen Mother, Sanxiao ... Aren't countless fairies all mine? I am Haotian? Haotian, who had been bullied by a saint and kicked under the table by a monkey? No, as the Celestial Emperor, I shall rule the world! Could it be that this world was ruled by a king? Could it be that this man was a king's subordinate?
This open access book focuses on the practical application of Adaptive Dynamic Programming (ADP) in chemotherapy drug delivery, taking into account clinical variables and real-time data. ADP's ability to adapt to changing conditions and make optimal decisions in complex and uncertain situations makes it a valuable tool in addressing pressing challenges in healthcare and other fields. As optimization technology evolves, we can expect to see even more sophisticated and powerful solutions emerge.
Andy Kirkpatrick and and Zhichang Xu offer a response to the argument that Chinese students’ academic writing in English is influenced by “culturally nuanced rhetorical baggage that is uniquely Chinese and hard to eradicate.” Noting that this argument draws from “an essentially monolingual and Anglo-centric view of writing,” they point out that the rapid growth in the use of English worldwide calls for “a radical reassessment of what English is in today’s world.” The result is a book that provides teachers of writing, and in particular those involved in the teaching of English academic writing to Chinese students, an introduction to key stages in the development of Chinese rhetoric, a wide-ranging field with a history of several thousand years. Understanding this important rhetorical tradition provides a strong foundation for assessing and responding to the writing of this growing group of students.
Electrolytes are indispensable components in electrochemistry and the fast-growing electrochemical energy storage markets. Research in electrolytes has witnessed exponential growth in recent years, accompanied by their applications in the most popular electrochemical cell ever invented, lithium-ion batteries (LIBs). In myriads of LIBs, electrolytes and their interphases determine how high the voltage of a battery is, how many times it can be charged/discharged, or how rapid the energy stored therein could be released. The conquest of further technical challenges around safety, life and cost-effectiveness of lithium-based or beyond-lithium batteries requires in-depth understanding of electrolytes and interphases. This will be the authoritative textbook for those entering the field. Chapters will establish the fundamental principles for the field, before moving onto important knowledge acquired in recent years. There will be special emphasis on linking these fundamentals to real-world problems encountered in devices, especially lithium-ion batteries. The book will be suitable for advanced undergraduate and postgraduate students in electrochemical energy storage, electrochemistry, materials science and engineering, as well as researchers new to the subject.
The revival of Calvinism in the nineteenth-century Netherlands entailed the neo-Calvinist movement. With Abraham Kuyper, Herman Bavinck became a brand name of neo-Calvinism. Nonetheless, not until the first decade of the twenty-first century was scholarly interest in Bavinck's work increasing. The conventional "two Bavincks" model used to read his work for much of the twentieth century argues that some contradictory and irreconcilable themes do exist in Bavinck's system, which makes Bavinck a self-contradictory thinker. This dualistic reading characterised most of Bavinck scholars in the second half of the twentieth century. Since James Eglinton's new reading of Bavinck's organic motif, the conventional model became untenable, and scholars are seeking for a reunited Herman Bavinck. Bavinck as a holistic theologian has become the industry standard of Bavinck studies. Ximian Xu aims on the one hand to maintain "one Bavinck", on the other hand, and more importantly, to fill in a notable gap in Bavinck scholarship – that is, no single work hitherto has focused on Bavinck's idea of theology as the wetenschap (science) of God. This study demonstrates that the idea of scientific (wetenschappelijke) theology furnishes the meta-paradigm and cardinal model that incorporates the fundamental characteristics and themes of Bavinck's dogmatic system. Moreover, it argues that Bavinck's scientific theology makes an attempt to engage with the other sciences. Given this, Bavinck's scientific theology is relevant today. That is, Bavinck's theological insights can be deployed to advance theology's engagement with the other sciences in contemporary secular universities.
The major intellectual interest throughout this book is to offer a study on China's legal legacy, through Liang Shu-ming's eyes. The book follows the formula of the parallel between Life and Mind (人生与人心), Physis and Nomos, and compares Liang Shu-ming's narrative with his own practical orientation and with the theories of other interlocutors. The book puts Liang Shu-ming into the social context of modern Chinese history, in particular, the context of the unprecedented crisis of meaning in the legal realm and the collapse of a transcendental source for Chinese cultural identity in the light of modernity. The evaluation provided by this narrative could be helpful in clarifying the deep structures and significance of the present Chinese legal system through historically exploring Liang Shu-ming's misgivings. The book is intended for academics of legal, history and cultural studies. The book is unique in that it is the first book to explore New Confucian's considerations on reconstruction of Chinese legal system in the modern era. It presents a comprehensive systematical comparison of Liang Shu-ming's narrative about constitutional government in China against other schools of thought.
Heaven Has Eyes is a comprehensive but concise history of Chinese law and justice from the imperial era to the post-Mao era. Never before has a single book treated the traditional Chinese law and judicial practices and their modern counterparts as a coherent history, addressing both criminal and civil justice. This book fills this void. Xiaoqun Xu addresses the evolution and function of law codes and judicial practices throughout China's long history, and examines the transition from traditional laws and practices to modern ones in the twentieth century. To the Chinese of the imperial era, justice was an alignment of heavenly reason (tianli), state law (guofa), and human relations (renqing). Such a conception did not change until the turn of the twentieth century, when Western-derived notions-natural rights, legal equality, the rule of law, judicial independence, and due process--came to replace the Confucian moral code of right and wrong. The legal-judicial reform agendas that emerged in the beginning of the twentieth century (and are still ongoing today) stemmed from this change in Chinese moral and legal thinking, but to materialize the said principles in everyday practices is a very different order of things, and the past century was fraught with legal dramas and tragedies. Heaven Has Eyes lays out how and why that is the case.
Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and beyond the usual syllabus, but introduces a variety of concepts and methods in modern mathematics as well.In each lecture, the concepts, theories and methods are taken as the core. The examples serve to explain and enrich their intentions and to indicate their applications. Besides, appropriate number of test questions is available for the readers' practice and testing purpose. Their detailed solutions are also conveniently provided.The examples are not very complicated so readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions originate from many countries all over the world. This book will serve as a useful textbook of mathematical Olympiad courses, a self-study lecture notes for students, or as a reference book for related teachers and researchers.
This book provides a fundamental physical picture of various phenomena occurring in organic monolayers, dealing with dielectric, elastic, and electronic properties. The dielectric properties are discussed in terms of orientational order parameters, which are used to interpret the dielectric spectrum observed through Maxwell displacement current measurement and optical second harmonic generation measurement. The elastic theory of organic monolayers is based on that of liquid crystals and emphasis is placed on the interfacial effect when discussing the electronic properties of organic monolayers. The discussion in the book mainly concerns the structure dependence (dipole moment) and thickness dependence (interfacial effect) for various phenomena occurring in organic monolayers.
Annotation Embedded vision systems such as smart cameras have been rapidly developed recently. Vision systems have become smaller and lighter, but their performance has improved. The algorithms in embedded vision systems have their specifications limited by frequency of CPU, memory size, and architecture. The goal of this e-book is to provide a an advanced reference work for engineers, researchers and scholars in the field of robotics, machine vision, and automation and to facilitate the exchange of their ideas, experiences and views on embedded vision system models. The effectiveness for all methods is emphasized in a practical sense for systems presented in this e-book.
Climbing robot is a challenging research topic that has gained much attention from researchers. Most of the robots reported in the literature are designed to climb on manmade structures, but seldom robots are designed for climbing natural environment such as trees. Trees and manmade structures are very different in nature. It brings different aspects of technical challenges to the robot design. In this book, you can find a collection of the cutting edge technologies in the field of tree-climbing robot and the ways that animals climb. It provides a valuable reference for robot designers to select appropriate climbing methods in designing tree-climbing robots for specific purposes. Based on the study, a novel bio-inspired tree-climbing robot with several breakthrough performances has been developed and presents in this book. It is capable of performing various actions that is impossible in the state-of-the-art tree-climbing robots, such as moving between trunk and branches. This book also proposes several approaches in autonomous tree-climbing, including the sensing methodology, cognition of the environment, path planning and motion planning on both known and unknown environment.
Shi-xu critiques universalism in discourse studies in terms of the cultural consequences of its current white, western standpoint and advocates a culturally pluralist approach, a theory and research methodology from an innovative position between Eastern and Western cultures. Practical research strategies are illustrated by examples drawn from culturally wide ranging discourses. This is a book to interest any scholar or student of discourse looking outside their own intellectual tradition.
This book focuses on the fault diagnosis observer design for the switched system. Model-based fault diagnosis and fault tolerant control are one of the most popular research directions in recent decades. It contains eight chapters. Every chapter is independent in the method of observer design, but all chapters are around the same topic. Besides, in each chapter, the model description and theoretical results are firstly provided, then some practical application examples are illustrated to prove the obtained results. The advanced theoretical methodologies will benefit researchers or engineers in the area of safety engineering and the arrangement of the structure will help the readers to understand the content easily.
In Crossing the Gate, Man Xu examines the lives of women in the Chinese province of Fujian during the Song dynasty. Tracking women's life experience across class lines, outside as well as inside the domestic realm, Xu challenges the accepted wisdom about women and gender roles in medieval China. She contextualizes women in a much broader physical space and social network, investigating the gaps between ideals and reality and examining women's own agency in gender construction. She argues that women's autonomy and mobility, conventionally attributed to Ming-Qing women of late imperial China, can be traced to the Song era. This thorough study of Song women's life experience connects women to the great political, economic, and social transitions of the time, and sheds light on the so-called "Song-Yuan-Ming transition" from the perspective of gender studies. By putting women at the center of analysis and by focusing on the local and the quotidian, Crossing the Gate offers a new and nuanced picture of the Song Confucian revival.
This reference and handbook describes static, kinematic and dynamic Global Positioning System (GPS) theory, algorithms and applications. It is primarily based on source-code descriptions of the KSGSoft program developed by the author at the GFZ in Potsdam. The theory and algorithms are revised and extended for a new development of a multiple functional GPS software. New concepts such as the unified GPS data processing method and ambiguity-ionospheric algorithm, as well as general ambiguity search criteria, are reported for the first time. Mathematically rigorous, the book begins with the basics of coordinate and time systems and satellite orbits, as well as GPS observables, and deals with topics such as physical influences, observation equations, adjustment and filtering, ambiguity resolution, data processing, kinematic positioning, and the determination of perturbed orbits.
This monograph develops a framework for time-optimal control problems, focusing on minimal and maximal time-optimal controls for linear-controlled evolution equations. Its use in optimal control provides a welcome update to Fattorini’s work on time-optimal and norm-optimal control problems. By discussing the best way of representing various control problems and equivalence among them, this systematic study gives readers the tools they need to solve practical problems in control. After introducing preliminaries in functional analysis, evolution equations, and controllability and observability estimates, the authors present their time-optimal control framework, which consists of four elements: a controlled system, a control constraint set, a starting set, and an ending set. From there, they use their framework to address areas of recent development in time-optimal control, including the existence of admissible controls and optimal controls, Pontryagin’s maximum principle for optimal controls, the equivalence of different optimal control problems, and bang-bang properties. This monograph will appeal to researchers and graduate students in time-optimal control theory, as well as related areas of controllability and dynamic programming. For ease of reference, the text itself is self-contained on the topic of time-optimal control. Frequent examples throughout clarify the applications of theorems and definitions, although experience with functional analysis and differential equations will be useful.
This book presents the dynamic modeling and attitude control of flexible spacecraft with time-varying parameters. The dynamic characteristics, vibration control methods and attitude stabilization methods for spacecraft are systematically studied in respects of the theoretical modeling, numerical simulation and the ground experiment. Three active control theories in complex mode space are presented for flexible space structures. Optimal slew strategies based on variable amplitudes input shaping methods and coupling control methods are proposed for stabilization of flexible spacecraft. The research provides an important way to solve the problem of high-precision attitude control of flexible spacecraft with time-varying parameters. This book is appropriate for the researchers who focus on the multi-body dynamics, attitude and vibration control of flexible spacecraft.
This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book.
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