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| fm1 0: Introduction to Interactive Boundary Layer Theory Ian John Sobey, 2000 One of the major achievements in fluid mechanics in the last quarter of the twentieth century has been the development of an asymptotic description of perturbations to boundary layers known generally as 'triple deck theory'. These developments have had a major impact on our understanding of laminar fluid flow, particularly laminar separation. It is also true that the theory rests on three quarters of a century of development of boundary layer theory which involves analysis, experimentation and computation. All these parts go together, and to understand the triple deck it is necessary to understand which problems the triple deck resolves and which computational techniques have been applied. This book presents a unified account of the development of laminar boundary layer theory as a historical study together with a description of the application of the ideas of triple deck theory to flow past a plate, to separation from a cylinder and to flow in channels. The book is intended to provide a graduate level teaching resource as well as a mathematically oriented account for a general reader in applied mathematics, engineering, physics or scientific computation. |
| fm1 0: Topics in Quaternion Linear Algebra Leiba Rodman, 2014-08-24 Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used. |
| fm1 0: C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu, 2013-11-26 The conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudo-differential operators and N-body Schrödinger hamiltonians. Another topic is a new algebraic framework for the N-body problem allowing a simple and systematic treatment of large classes of many-channel hamiltonians. The monograph will be of interest to research mathematicians and mathematical physicists. The authors have made efforts to produce an essentially self-contained text, which makes it accessible to advanced students. Thus about one third of the book is devoted to the development of tools from functional analysis, in particular real interpolation theory for Banach spaces and functional calculus and Besov spaces associated with multi-parameter C0-groups. Certainly this monograph (containing a bibliography of 170 items) is a well-written contribution to this field which is suitable to stimulate further evolution of the theory. (Mathematical Reviews) |
| fm1 0: Risk Analysis in Engineering and Economics Bilal M. Ayyub, 2014-03-18 Risk Analysis in Engineering and Economics is required reading for decision making under conditions of uncertainty. The author describes the fundamental concepts, techniques, and applications of the subject in a style tailored to meet the needs of students and practitioners of engineering, science, economics, and finance. Drawing on his extensive e |
| fm1 0: Reliability Engineering Ilia Vonta, Mangey Ram, 2018-10-03 Reliability theory is a multidisciplinary science aimed at developing complex systems that are resistant to failures. Reliability engineering has emerged as a main field not only for scientists and researchers, but also for engineers and industrial managers. This book covers the recent developments in reliability engineering. It presents new theoretical issues that were not previously published, as well as the solutions of practical problems and case studies illustrating the applications methodology. This book is written by a number of leading scientists, analysts, mathematicians, statisticians, and engineers who have been working on the front end of reliability science and engineering. Reliability Engineering: Theory and Applications covers the recent developments in reliability engineering. It presents new theoretical issues that were not previously presented in the literature, as well as the solutions of important practical problems and case studies illustrating the applications methodology. Features Covers applications to reliability engineering practice Discusses current advances and developments Introduces current achievements in the field Considers and analyses case studies along with real world examples Presents numerous examples to illustrate the theoretical results |
| fm1 0: Monetary Unions Hubert Kempf, 2022-04-22 This textbook explains the notion of monetary union, highlighting the key concepts, procedures, and challenges involved. The book is organized in three parts. In the first part, the reader learns about monetary issues, like definitions and typology of monetary unions, rationale of monetary unions, monetary policy, monetary institutional matters. The second part is devoted to fiscal matters and the interplay between fiscal and monetary policies, such as deficits, transfers, public debt sustainability issues, fiscal policy, policy mix. The last part focuses on other distinct but related issues, necessary to complete the union: banking and fiscal unions, structural adjustments in a monetary union. It ends with a chapter on the fate of monetary unions: how they develop, mature and sometimes dissolve. The book addresses students at undergraduate and graduate level, interested in a better understanding of international macroeconomics and monetary unions, as well as policy-makers, practitioners and economists in central banks, ministries of economics, economic institutions and banks. |
| fm1 0: Computer Vision: Three-dimensional Reconstruction Techniques Andrea Fusiello, 2023-12-27 From facial recognition to self-driving cars, the applications of computer vision are vast and ever-expanding. Geometry plays a fundamental role in this discipline, providing the necessary mathematical framework to understand the underlying principles of how we perceive and interpret visual information in the world around us. This text explores the theories and computational techniques used to determine the geometric properties of solid objects through images. It covers the basic concepts and provides the necessary mathematical background for more advanced studies. The book is divided into clear and concise chapters covering a wide range of topics including image formation, camera models, feature detection and 3D reconstruction. Each chapter includes detailed explanations of the theory as well as practical examples to help the reader understand and apply the concepts presented. The book has been written with the intention of being used as a primary resource for students on university courses in computer vision, particularly final year undergraduate or postgraduate computer science or engineering courses. It is also useful for self-study and for those who, outside the academic field, find themselves applying computer vision to solve practical problems. The aim of the book is to strike a balance between the complexity of the theory and its practical applicability in terms of implementation. Rather than providing a comprehensive overview of the current state of the art, it offers a selection of specific methods with enough detail to enable the reader to implement them. |
| fm1 0: Proceedings of the 2015 Chinese Intelligent Systems Conference Yingmin Jia, Junping Du, Hongbo Li, Weicun Zhang, 2015-11-21 This book presents selected research papers from the 2015 Chinese Intelligent Systems Conference (CISC’15), held in Yangzhou, China. The topics covered include multi-agent systems, evolutionary computation, artificial intelligence, complex systems, computation intelligence and soft computing, intelligent control, advanced control technology, robotics and applications, intelligent information processing, iterative learning control, and machine learning. Engineers and researchers from academia, industry and the government can gain valuable insights into solutions combining ideas from multiple disciplines in the field of intelligent systems. |
| fm1 0: Local Analytic Geometry Theo de Jong, Gerhard Pfister, 2013-06-29 Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). As one often reads in prefaces of int- ductory books on algebraic geometry, it is not so easy to develop the basics of algebraic geometry without a proper knowledge of commutative algebra. On the other hand, the commutative algebra one needs is quite difficult to understand without the geometric motivation from which it has often developed. Local analytic geometry is concerned with germs of zero sets of analytic functions, that is, the study of such sets in the neighborhood of a point. It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. It would, therefore, appear to be a sensible idea to develop the two theories simultaneously. This, in fact, is not what we will do in this book, as the commutative algebra one needs in local analytic geometry is somewhat more difficult: one has to cope with convergence questions. The most prominent and important example is the substitution of division with remainder. Its substitution in local analytic geometry is called the Weierstraft Division Theorem. The above remarks motivated us to organize the first four chapters of this book as follows. In Chapter 1 we discuss the algebra we need. Here, we assume the reader attended courses on linear algebra and abstract algebra, including some Galois theory. |
| fm1 0: Life and Microgravity Spacelab (LMS) , 1998 Covers experiments performed in fields such as fluid physics, solidification of metals, alloys, and semiconductors, the growth of protein crystals, and animal, human, and plant life sciences onboard the Life and Microgravity Spacelab that flew on Space Shuttle Columbia (STS-78) from June 20 - July 7, 1996. |
| fm1 0: Electrical Machines Jacek F. Gieras, 2016-10-14 This book endeavors to break the stereotype that basic electrical machine courses are limited only to transformers, DC brush machines, induction machines, and wound-field synchronous machines. It is intended to serve as a textbook for basic courses on Electrical Machines covering the fundamentals of the electromechanical energy conversion, transformers, classical electrical machines, i.e., DC brush machines, induction machines, wound-field rotor synchronous machines and modern electrical machines, i.e., switched reluctance machines (SRM) and permanent magnet (PM) brushless machines. In addition to academic research and teaching, the author has worked for over 18 years in US high-technology corporative businesses providing solutions to problems such as design, simulation, manufacturing and laboratory testing of large variety of electrical machines for electric traction, energy generation, marine propulsion, and aerospace electric systems. |
| fm1 0: Open Channel Flow Roland Jeppson, 2010-11-09 A comprehensive treatment of open channel flow, Open Channel Flow: Numerical Methods and Computer Applications starts with basic principles and gradually advances to complete problems involving systems of channels with branches, controls, and outflows/ inflows that require the simultaneous solutions of systems of nonlinear algebraic equations coupled with differential equations. The book includes downloadable resources that contain a program that solves all types of simple open channel flow problems, the source programs described in the text, the executable elements of these programs, the TK-Solver and MathCad programs, and the equivalent MATLAB® scripts and functions. The book provides applied numerical methods in an appendix and also incorporates them as an integral component of the methodology in setting up and solving the governing equations. Packed with examples, the book includes problems at the end of each chapter that give readers experience in applying the principles and often expand upon the methodologies use in the text. The author uses Fortran as the software to supply the computer instruction but covers math software packages such as MathCad, TK-Solver, MATLAB, and spreadsheets so that readers can use the instruments with which they are the most familiar. He emphasizes the basic principles of conservation of mass, energy, and momentum, helping readers achieve true mastery of this important subject, rather than just learn routine techniques. With the enhanced understanding of the fundamental principles of fluid mechanics provided by this book, readers can then apply these principles to the solution of complex real-world problems. The book supplies the knowledge tools necessary to analyze and design economical and properly performing conveyance systems. Thus not only is the book useful for graduate students, but it also provides professional engineers the expertise and knowledge to design well performing and economical channel systems. |
| fm1 0: Electron Statistics In Quantum Confined Superlattices Kamakhya Prasad Ghatak, Arindam Biswas, 2023-03-14 The concepts of the Electron Statistics (ES) and the ES dependent electronic properties are basic pillars in semiconductor electronics and this first-of-its-kind book deals with the said concepts in doping superlattices (SLs), quantum well, quantum wire and quantum dot SLs, effective mass SLs, SLs with graded interfaces and Fibonacci SLs under different physical conditions respectively. The influences of intense radiation and strong electric fields under said concepts have been considered together with the heavily doped SLs in this context on the basis of newly formulated the electron energy spectra in all the cases. We have suggested experimental determinations of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length, Elastic Constants and the content of this book finds 25 different applications in the arena of nanoscience and nanotechnology.This book contains hundred open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers. It is written for post graduate students of various departments of different academic organizations, engineers and professionals in the fields of solid state electronics, materials science, solid state sciences, nano-science, nanotechnology and nano materials in general. |
| fm1 0: Fundamental Statistical Inference Marc S. Paolella, 2018-06-19 A hands-on approach to statistical inference that addresses the latest developments in this ever-growing field This clear and accessible book for beginning graduate students offers a practical and detailed approach to the field of statistical inference, providing complete derivations of results, discussions, and MATLAB programs for computation. It emphasizes details of the relevance of the material, intuition, and discussions with a view towards very modern statistical inference. In addition to classic subjects associated with mathematical statistics, topics include an intuitive presentation of the (single and double) bootstrap for confidence interval calculations, shrinkage estimation, tail (maximal moment) estimation, and a variety of methods of point estimation besides maximum likelihood, including use of characteristic functions, and indirect inference. Practical examples of all methods are given. Estimation issues associated with the discrete mixtures of normal distribution, and their solutions, are developed in detail. Much emphasis throughout is on non-Gaussian distributions, including details on working with the stable Paretian distribution and fast calculation of the noncentral Student's t. An entire chapter is dedicated to optimization, including development of Hessian-based methods, as well as heuristic/genetic algorithms that do not require continuity, with MATLAB codes provided. The book includes both theory and nontechnical discussions, along with a substantial reference to the literature, with an emphasis on alternative, more modern approaches. The recent literature on the misuse of hypothesis testing and p-values for model selection is discussed, and emphasis is given to alternative model selection methods, though hypothesis testing of distributional assumptions is covered in detail, notably for the normal distribution. Presented in three parts—Essential Concepts in Statistics; Further Fundamental Concepts in Statistics; and Additional Topics—Fundamental Statistical Inference: A Computational Approach offers comprehensive chapters on: Introducing Point and Interval Estimation; Goodness of Fit and Hypothesis Testing; Likelihood; Numerical Optimization; Methods of Point Estimation; Q-Q Plots and Distribution Testing; Unbiased Point Estimation and Bias Reduction; Analytic Interval Estimation; Inference in a Heavy-Tailed Context; The Method of Indirect Inference; and, as an appendix, A Review of Fundamental Concepts in Probability Theory, the latter to keep the book self-contained, and giving material on some advanced subjects such as saddlepoint approximations, expected shortfall in finance, calculation with the stable Paretian distribution, and convergence theorems and proofs. |
| fm1 0: Functional Identities Matej Brešar, Mikhail A. Chebotar, Wallace S. Martindale, 2007-08-08 A functional identity can be informally described as an identical relation involving arbitrary elements in an associative ring together with arbitrary (unknown) functions. The theory of functional identities is a relatively new one, and this is the first book on this subject. The book is accessible to a wide audience and touches on a variety of mathematical areas such as ring theory, algebra and operator theory. |
| fm1 0: Intelligent Information and Database Systems Ngoc Thanh Nguyen, Ford Lumban Gaol, Tzung-Pei Hong, Bogdan Trawiński, 2019-04-02 The two-volume set LNAI 11431 and 11432 constitutes the refereed proceedings of the 11th Asian Conference on Intelligent Information and Database Systems, ACIIDS 2019, held in Yogyakarta, Indonesia, in April 2019. The total of 124 full papers accepted for publication in these proceedings were carefully reviewed and selected from 309 submissions. The papers of the first volume are organized in the following topical sections: knowledge engineering and semantic web; text processing and information retrieval; machine learning and data mining; decision support and control systems; computer vision techniques; and databases and intelligent information systems. The papers of the second volume are divided into these topical sections: collective intelligence for service innovation, technology management, E-learning, and fuzzy intelligent systems; data structures modelling for knowledge representation; advanced data mining techniques and applications; intelligent information systems; intelligent methods and artificial intelligence for biomedical decision support systems; intelligent and contextual systems; intelligent systems and algorithms in information sciences; intelligent supply chains and e-commerce; sensor networks and Internet of Things; analysis of image, video, movements and brain intelligence in life sciences; and computer vision and intelligent systems. |
| fm1 0: Lie Theory and Special Functions Miller, 1968 Lie Theory and Special Functions |
| fm1 0: Centenary of the Borel Conjecture Marion Scheepers, Ondřej Zindulka, 2020-09-04 Borel's Conjecture entered the mathematics arena in 1919 as an innocuous remark about sets of real numbers in the context of a new covering property introduced by Émile Borel. In the 100 years since, this conjecture has led to a remarkably rich adventure of discovery in mathematics, producing independent results and the discovery of countable support iterated forcing, developments in infinitary game theory, deep connections with infinitary Ramsey Theory, and significant impact on the study of topological groups and topological covering properties. The papers in this volume present a broad introduction to the frontiers of research that has been spurred on by Borel's 1919 conjecture and identify fundamental unanswered research problems in the field. Philosophers of science and historians of mathematics can glean from this collection some of the typical trends in the discovery, innovation, and development of mathematical theories. |
| fm1 0: Matrix Analysis Framed Structures William Weaver, James M. Gere, 2012-12-06 Matrix analysis of structures is a vital subject to every structural analyst, whether working in aero-astro, civil, or mechanical engineering. It provides a comprehensive approach to the analysis of a wide variety of structural types, and therefore offers a major advantage over traditional metho~ which often differ for each type of structure. The matrix approach also provides an efficient means of describing various steps in the analysis and is easily programmed for digital computers. Use of matrices is natural when performing calculations with a digital computer, because matrices permit large groups of numbers to be manipulated in a simple and effective manner. This book, now in its third edition, was written for both college students and engineers in industry. It serves as a textbook for courses at either the senior or first-year graduate level, and it also provides a permanent reference for practicing engineers. The book explains both the theory and the practical implementation of matrix methods of structural analysis. Emphasis is placed on developing a physical understanding of the theory and the ability to use computer programs for performing structural calculations. |
| fm1 0: Computational Modeling for Fluid Flow and Interfacial Transport W. Shyy, 2013-10-22 Transport processes are often characterized by the simultaneous presence of multiple dependent variables, multiple length scales, body forces, free boundaries and strong non-linearities. The various computational elements important for the prediction of complex fluid flows and interfacial transport are presented in this volume. Practical applications, presented in the form of illustrations and examples are emphasized, as well as physical interpretation of the computed results. The book is intended as a reference for researchers and graduate students in mechanical, aerospace, chemical and materials engineering.Both macroscopic and microscopic (but still continuum) features are addressed. In order to lay down a good foundation to facilitate discussion of more advanced techniques, the book has been divided into three parts. Part I presents the basic concepts of finite difference schemes for solving parabolic, elliptic and hyperbolic partial differential equations. Part II deals with issues related to computational modeling for fluid flow and transport phenomena. Existing algorithms to solve the Navier-Stokes equations can be generally classified as density-based methods and pressure-based methods. In this book the pressure-based method is emphasized. Recent efforts to improve the performance of the pressure-based algorithm, both qualitatively and quantitatively, are treated, including formulation of the algorithm and its generalization to all flow speeds, choice of coordinate system and primary velocity variables, issues of grid layout, open boundary treatment and the role of global mass conservation, convection treatment and convergence. Practical engineering applications, including gas-turbine combustor flow, heat transfer and convection in high pressure discharge lamps, thermal management under microgravity, and flow through hydraulic turbines are also discussed.Part III addresses the transport processes involving interfacial dynamics. Specifically those influenced by phase change, gravity, and capillarity are emphasized, and both the macroscopic and morphological (microscopic) scales are presented. Basic concepts of interface, capillarity, and phase change processes are summarized to help clarify physical mechanisms, followed by a discussion of recent developments in computational modeling. Numerical solutions are also discussed to illustrate the salient features of practical engineering applications. Fundamental features of interfacial dynamics have also been illustrated in the form of case studies, to demonstrate the interplay between fluid and thermal transport of macroscopic scales and their interaction with interfacial transport. |
| fm1 0: An Introduction to Dynamical Systems D. K. Arrowsmith, C. M. Place, 1990-07-27 In recent years there has been an explosion of research centred on the appearance of so-called 'chaotic behaviour'. This book provides a largely self contained introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit this sort of behaviour. The early part of this book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms, Anosov automorphism, the horseshoe diffeomorphism and the logistic map and area preserving planar maps . The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. This book, which has a great number of worked examples and exercises, many with hints, and over 200 figures, will be a valuable first textbook to both senior undergraduates and postgraduate students in mathematics, physics, engineering, and other areas in which the notions of qualitative dynamics are employed. |
| fm1 0: 3D Reconstruction from Multiple Images Theo Moons, Luc van Gool, Maarten Vergauwen, 2009-10-23 The issue discusses methods to extract 3-dimensional (3D) models from plain images. In particular, the 3D information is obtained from images for which the camera parameters are unknown. The principles underlying such uncalibrated structure-from-motion methods are outlined. First, a short review of 3D acquisition technologies puts such methods in a wider context, and highlights their important advantages. Then, the actual theory behind this line of research is given. The authors have tried to keep the text maximally self-contained, therefore also avoiding to rely on an extensive knowledge of the projective concepts that usually appear in texts about self-calibration 3D methods. Rather, mathematical explanations that are more amenable to intuition are given. The explanation of the theory includes the stratification of reconstructions obtained from image pairs as well as metric reconstruction on the basis of more than 2 images combined with some additional knowledge about the cameras used. Readers who want to obtain more practical information about how to implement such uncalibrated structure-from-motion pipelines may be interested in two more Foundations and Trends issues written by the same authors. Together with this issue they can be read as a single tutorial on the subject. |
| fm1 0: Elastic Waves Vassily Babich, Aleksei Kiselev, 2018-04-09 Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness. |
| fm1 0: A Course in Mathematical and Statistical Ecology Anil Gore, S.A. Paranjpe, 2013-04-17 As the world enters the new millennium, mankind faces a series ofnew prob lems, many of them created by man himself. These include overpopulation, air and water pollution, global warming, accumulation of greenhouse gases, darnage to the ozone layer and loss of biodiversity. Perhaps these problems were around even earlier in an incipient stage, but they have now assumed global proportions and are uppermost in the minds of all. A natural con sequence is enhanced interest in sciences connected with these problems. Ecology is a field that is immensely useful in understanding many of them. In the seventies, nature conservation became a concern of wide sections of society, well beyond the small group of expert ecologists. Species extinc tion and depletion of biological resources were seen as major threats to human welfare. It was therefore natural for scientists from different disci plines to seek reasons behind these developments. We were no exceptions and when opportunity to interact with ecologists as statistreal consultants came, we found ourselves reading more and more of ecology and evolution ary biology. Several years ago we proposed starting of an elective one semester course on statistical ecology for graduate students of statistics of Pune University. |
| fm1 0: Himalayan Geology , 2007 |
| fm1 0: Integrated Tracking, Classification, and Sensor Management Mahendra Mallick, Vikram Krishnamurthy, Ba-Ngu Vo, 2012-12-03 A unique guide to the state of the art of tracking, classification, and sensor management This book addresses the tremendous progress made over the last few decades in algorithm development and mathematical analysis for filtering, multi-target multi-sensor tracking, sensor management and control, and target classification. It provides for the first time an integrated treatment of these advanced topics, complete with careful mathematical formulation, clear description of the theory, and real-world applications. Written by experts in the field, Integrated Tracking, Classification, and Sensor Management provides readers with easy access to key Bayesian modeling and filtering methods, multi-target tracking approaches, target classification procedures, and large scale sensor management problem-solving techniques. Features include: An accessible coverage of random finite set based multi-target filtering algorithms such as the Probability Hypothesis Density filters and multi-Bernoulli filters with focus on problem solving A succinct overview of the track-oriented MHT that comprehensively collates all significant developments in filtering and tracking A state-of-the-art algorithm for hybrid Bayesian network (BN) inference that is efficient and scalable for complex classification models New structural results in stochastic sensor scheduling and algorithms for dynamic sensor scheduling and management Coverage of the posterior Cramer-Rao lower bound (PCRLB) for target tracking and sensor management Insight into cutting-edge military and civilian applications, including intelligence, surveillance, and reconnaissance (ISR) With its emphasis on the latest research results, Integrated Tracking, Classification, and Sensor Management is an invaluable guide for researchers and practitioners in statistical signal processing, radar systems, operations research, and control theory. |
| fm1 0: Brain Theory Günther Palm, Ad. Aertsen, 2012-12-06 The present collection of papers forms the Proceedings of the First Meeting on Brain Theory, held October 1-4, 1984 at the International Centre for Theoretical Physics in Trieste, Italy. The Meeting was organized with the aim of bringing together brain theorists who are willing to put their own research in the perspective of the general development of neuroscience. Such a meeting was considered necessary since the explosion of experi mental work in neuroscience during the last decades has not been accompanied by an adequate development on the theoretical side. The intensity of the discussions during the Meeting is prob ably reflected best in the report of the organizers, reprinted here following the Preface. During the Meeting it was decided that a workshop of this kind should be repeated at regular intervals of approximately 2 years. The International Centre for Theoretical Physics in Trieste has kindly agreed to act as host for future meetings. The present Meeting was supported by grants from the In ternational Centre for Theoretical Physics and the International School for Advanced Studies in Trieste, IBM-Germany through the Stifterverband fur die Deutsche Wissenschaft and the Max Planck-Institute for Biological Cybernetics. |
| fm1 0: Linear Time-Invariant Systems, Behaviors and Modules Ulrich Oberst, Martin Scheicher, Ingrid Scheicher, 2020-06-27 This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is intended for readers who have completed the first two years of a university mathematics course. All further mathematical results required are proven in the book. |
| fm1 0: The Neuroethology of Predation and Escape Keith T. Sillar, Laurence D. Picton, William J. Heitler, 2016-05-02 THE NEUROETHOLOGY OF PREDATION AND ESCAPE To eat and not get eaten is key to animal survival, and the arms race between predators and prey has driven the evolution of many rapid and spectacular behaviours. This book explores the neural mechanisms controlling predation and escape, where specialisations in afferent pathways, central circuits, motor control and biomechanics can be traced through to natural animal behaviour. Each chapter provides an integrated and comparative review of case studies in neuroethology. Ranging from the classic studies on bat biosonar and insect counter-measures, through to fish-eating snails armed with powerful neurotoxins, the book covers a diverse and fascinating range of adaptations. Common principles of biological design and organization are highlighted throughout the text. The book is aimed at several audiences: for lecturers and students. This synthesis will help to underpin the curriculum in neuroscience and behavioural biology, especially for courses focusing on neuroethology for postgraduate students. The sections devoted to your area of specialism will give a flying start to your research reading, while the other chapters offer breadth and insights from comparative studies for academic researchers. The book will provide a valuable resource and an enjoyable read Above all, we hope this book will inspire the next generation of neuroethologists. |
| fm1 0: Handbook of Nuclear Physics Isao Tanihata, Hiroshi Toki, Toshitaka Kajino, 2023-09-04 This handbook is a comprehensive, systematic source of modern nuclear physics. It aims to summarize experimental and theoretical discoveries and an understanding of unstable nuclei and their exotic structures, which were opened up by the development of radioactive ion (RI) beam in the late 1980s. The handbook comprises three major parts. In the first part, the experiments and measured facts are well organized and reviewed. The second part summarizes recognized theories to explain the experimental facts introduced in the first part. Reflecting recent synergistic progress involving both experiment and theory, the chapters both parts are mutually related. The last part focuses on cosmo-nuclear physics—one of the mainstream subjects in modern nuclear physics. Those comprehensive topics are presented concisely. Supported by introductory reviews, all chapters are designed to present their topics in a manner accessible to readers at the graduate level. The book therefore serves as a valuable source for beginners as well, helping them to learn modern nuclear physics. |
| fm1 0: Observer-Based Fault Diagnosis and Fault-Tolerant Control for Switched Systems Dongsheng Du, Shengyuan Xu, Vincent Cocquempot, 2020-10-21 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. |
| fm1 0: Computational Signal Processing with Wavelets Anthony Teolis, 1998-05-15 Overview For over a decade now, wavelets have been and continue to be an evolving subject of intense interest. Their allure in signal processing is due to many factors, not the least of which is that they offer an intuitively satisfying view of signals as being composed of little pieces of wa'ues. Making this concept mathematically precise has resulted in a deep and sophisticated wavelet theory that has seemingly limitless applications. This book and its supplementary hands-on electronic: component are meant to appeal to both students and professionals. Mathematics and en gineering students at the undergraduate and graduate levels will benefit greatly from the introductory treatment of the subject. Professionals and advanced students will find the overcomplete approach to signal represen tation and processing of great value. In all cases the electronic component of the proposed work greatly enhances its appeal by providing interactive numerical illustrations. A main goal is to provide a bridge between the theory and practice of wavelet-based signal processing. Intended to give the reader a balanced look at the subject, this book emphasizes both theoretical and practical issues of wavelet processing. A great deal of exposition is given in the beginning chapters and is meant to give the reader a firm understanding of the basics of the discrete and continuous wavelet transforms and their relationship. Later chapters promote the idea that overcomplete systems of wavelets are a rich and largely unexplored area that have demonstrable benefits to offer in many applications. |
| fm1 0: Gödel's Theorems and Zermelo's Axioms Lorenz Halbeisen, Regula Krapf, 2025-06-11 This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical logic, including logical axioms, formal proofs and the basics of model theory. Building on this, in the second and third part of the book the authors present detailed proofs of Gödel’s classical completeness and incompleteness theorems. In particular, the book includes a full proof of Gödel’s second incompleteness theorem which states that it is impossible to prove the consistency of arithmetic within its axioms. The final part is dedicated to an introduction into modern axiomatic set theory based on Zermelo’s axioms, containing also a presentation of Gödel’s constructible universe of sets. A recurring theme in the whole book consists of standard and non-standard models of several theories, such as Peano arithmetic, Presburger arithmetic and the real numbers. In addition, the corrected, revised and extended second edition now provides detailed solutions to all exercises. The book addresses undergraduate mathematics students and is suitable for a one or two semester introductory course into logic and set theory. |
| fm1 0: Spatial Econometrics: Spatial Autoregressive Models Lung-fei Lee, 2023-10-16 This is the most recently developed book in Spatial Econometrics which cover important models and estimation methods. Its coverage is rather broad, and some of the topics covered have only been developed in the recent econometric literature in spatial econometrics.The book summarizes our devoted efforts on spatial econometrics that represent joint contributions with former PhD advisees from the Ohio State University in Columbus, Ohio, USA.The coverage is comprehensive and there are a total of sixteen chapters from basic statistics and statistical theory of linear-quadratic forms, law of large numbers (LLN) and central limit theory (CLT) on martingales to nonlinear spatial mixing and spatial near-epoch dependence theories, which can justify the statistic inferences for various spatial models and their estimation. New estimation and testing approaches in empirical likelihood and general empirical likelihood, and Bootstrapping are presented. Model selection is also discussed in this book. In addition to the popular spatial autoregressive models, there are chapters on multivariate SAR models, simultaneous SAR models, and panel dynamic spatial models. Recent econometric developments on intertemporal spatial models with rational expectations and flows data in trade theory will also be included. In terms of statistics, classical estimation, testing and inference are the main concerns, and we provide classical inference for the justification of Bayesian simulation approaches. |
| fm1 0: New Perspectives on Industrial Organization Victor J. Tremblay, Carol Horton Tremblay, 2012-07-20 This book covers the main topics that students need to learn in a course on Industrial Organization. It reviews the classic models and important empirical evidence related to the field. However, it will differ from prior textbooks in two ways. First, this book incorporates contributions from behavioral economics and neuroeconomics, providing the reader with a richer understanding of consumer preferences and the motivation for many of the business practices we see today. The book discusses how firms exploit consumers who are prone to making mistakes and who suffer from cognitive dissonance, attention lapses, and bounded rationality, for example and will help explain why firms invest in persuasive advertising, offer 30-day free trials, offer money-back guarantees, and engage in other observed phenomena that cannot be explained by the traditional approaches to industrial organization. A second difference is that this book achieves a balance between textbooks that emphasize formal modeling and those that emphasize the history of the field, empirical evidence, case studies, and policy analysis. This text puts more emphasis on the micro-foundations (i.e., consumer and producer theory), classic game theoretic models, and recent contributions from behavioral economics that are pertinent to industrial organization. Each topic will begin with a discussion of relevant theory and models and will also include a discussion of concrete examples, empirical evidence, and evidence from case studies. This will provide students with a deeper understanding of firm and consumer behavior, of the factors that influence market structure and economic performance, and of policy issues involving imperfectly competitive markets. The book is intended to be a textbook for graduate students, MBAs and upper-level undergraduates and will use examples, graphical analysis, algebra, and simple calculus to explain important ideas and theories in industrial organization. |
| fm1 0: Qualitative Theory of Differential Equations Zhifen Zhang, 1992 Subriemannian geometries, also known as Carnot-Caratheodory geometries, can be viewed as limits of Riemannian geometries. They also arise in physical phenomenon involving ``geometric phases'' or holonomy. Very roughly speaking, a subriemannian geometry consists of a manifold endowed with a distribution (meaning a $k$-plane field, or subbundle of the tangent bundle), called horizontal together with an inner product on that distribution. If $k=n$, the dimension of the manifold, we get the usual Riemannian geometry. Given a subriemannian geometry, we can define the distance between two points just as in the Riemannian case, except we are only allowed to travel along the horizontal lines between two points. The book is devoted to the study of subriemannian geometries, their geodesics, and their applications. It starts with the simplest nontrivial example of a subriemannian geometry: the two-dimensional isoperimetric problem reformulated as a problem of finding subriemannian geodesics. Among topics discussed in other chapters of the first part of the book the author mentions an elementary exposition of Gromov's surprising idea to use subriemannian geometry for proving a theorem in discrete group theory and Cartan's method of equivalence applied to the problem of understanding invariants (diffeomorphism types) of distributions. There is also a chapter devoted to open problems. The second part of the book is devoted to applications of subriemannian geometry. In particular, the author describes in detail the following four physical problems: Berry's phase in quantum mechanics, the problem of a falling cat righting herself, that of a microorganism swimming, and a phase problem arising in the $N$-body problem. He shows that all these problems can be studied using the same underlying type of subriemannian geometry: that of a principal bundle endowed with $G$-invariant metrics. Reading the book requires introductory knowledge of differential geometry, and it can serve as a good introduction to this new, exciting area of mathematics. This book provides an introduction to and a comprehensive study of the qualitative theory of ordinary differential equations. It begins with fundamental theorems on existence, uniqueness, and initial conditions, and discusses basic principles in dynamical systems and Poincare-Bendixson theory. The authors present a careful analysis of solutions near critical points of linear and nonlinear planar systems and discuss indices of planar critical points. A very thorough study of limit cycles is given, including many results on quadratic systems and recent developments in China. Other topics included are: the critical point at infinity, harmonic solutions for periodic differential equations, systems of ordinary differential equations on the torus, and structural stability for systems on two-dimensional manifolds. This books is accessible to graduate students and advanced undergraduates and is also of interest to researchers in this area. Exercises are included at the end of each chapter. |
| fm1 0: conformal repreesentation , |
| fm1 0: Minimum Action Curves in Degenerate Finsler Metrics Matthias Heymann, 2015-07-08 Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, criteria are developed under which there exists a minimum action curve leading from one given set to another. Then the properties of this curve are studied, and the non-existence of minimizers is established in some settings. Applied to a geometric reformulation of the quasipotential of Wentzell-Freidlin theory (a subfield of large deviation theory), these results can yield the existence and properties of maximum likelihood transition curves between two metastable states in a stochastic process with small noise. The book assumes only standard knowledge in graduate-level analysis; all higher-level mathematical concepts are introduced along the way. |
| fm1 0: High-Energy Atomic Physics Evgeny G. Drukarev, A.I. Mikhailov, 2016-07-29 This self-contained text introduces readers to the field of high-energy atomic physics - a new regime of photon-atom interactions in which the photon energies significantly exceed the atomic or molecular binding energies, and which opened up with the recent advent of new synchrotron sources. From a theoretical point of view, a small-parameter characteristic of the bound system emerged, making it possible to perform analytic perturbative calculations that can in turn serve as benchmarks for more powerful numerical computations. The first part of the book introduces readers to the foundations of this new regime and its theoretical treatment. In particular, the validity of the small-parameter perturbation expansion and of the lowest-order approximation is critically reviewed. The following chapters then apply these insights to various atomic processes, such as photoionization as a many-body problem, dominant mechanisms for the production of ions at higher energies, Compton scattering and ionization accompanied by creation of e-e+ pairs, and the photoionization of endohedral atoms (e.g. fullerene). Last but not least, the computationally challenging transitions in the electron shell during certain types of nuclear decays are investigated in detail. |
| fm1 0: Sammlung Eric Reissner, 1996 Applied Mechanics and Mathematics |
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