This book considers the one-factor copula model for credit portfolios that are used for pricing synthetic CDO structures as well as for risk management and measurement applications involving the generation of scenarios for the complete universe of risk factors and the inclusion of CDO structures in a portfolio context. For this objective, it is especially important to have a computationally fast model that can also be used in a scenario simulation framework. The well known Gaussian copula model is extended in various ways in order to improve its drawbacks of correlation smile and time inconsistency. Also the application of the large homogeneous cell assumption, that allows to differentiate between rating classes, makes the model convenient and powerful for practical applications. The Crash-NIG extension introduces an important regime-switching feature allowing the possibility of a market crash that is characterized by a high-correlation regime.
The University of Genoa - Ohio State University Joint Conference on New Trends in Systems Theory was held at the Badia di S. Andrea in Genoa on July 9-11, 1990. This Proceedings volume contains articles based on two of the three Plenary talks and most of the shorter presentations. The papers are arranged by author, and no attempt has been made to organize them by topic. We would like to thank the members of the Scientific Committee and of the Program Committee, the speakers and authors, and everyone who attended the conference. Approximately 120 researchers and students from all over the world visited Genoa for the meeting, representing a wide spectrum of areas in pure and applied control and systems theory. The success of the conference depended on their high level of scientific and engineering expertise, not to mention their enthusiasm. The Conference on New Trends in Systems Theory would not have been possible without the help of a great many institutions and people. We would like to thank the University of Genoa, particularly Professor Enrico Beltrametti, and the Ohio State University's Columbian Quincentenary Committee led by Professor Christian Zacher, for encouragement and financial assistance. The University of Genoa Mathematics Department and Communication, Computer and System Sciences Department supplied assistance and technical help. The staff of the Consorzio Genova Ricerche, particularly Ms. Piera Ponta and Ms. Camilla Marconi, worked diligently over many months and especially during the conference itself to insure a smooth and enjoyable meeting.
Advanced algebra in the service of contemporary mathematicalresearch-- a unique introduction. This volume takes an altogether new approach to advanced algebra.Its intriguing title, inspired by the term postmodernism, denotes adeparture from van der Waerden's Modern Algebra--a book that hasdominated the field for nearly seventy years. Post-Modern Algebraoffers a truly up-to-date alternative to the standard approach,explaining topics from an applications-based perspective ratherthan by abstract principles alone. The book broadens the field ofstudy to include algebraic structures and methods used in currentand emerging mathematical research, and describes the powerful yetsubtle techniques of universal algebra and category theory.Classical algebraic areas of groups, rings, fields, and vectorspaces are bolstered by such topics as ordered sets, monoids,monoid actions, quasigroups, loops, lattices, Boolean algebras,categories, and Heyting algebras. The text features: * A clear and concise treatment at an introductory level, tested inuniversity courses. * A wealth of exercises illustrating concepts and their practicalapplication. * Effective techniques for solving research problems in the realworld. * Flexibility of presentation, making it easy to tailor material tospecific needs. * Help with elementary proofs and algebraic notations for studentsof varying abilities. Post-Modern Algebra is an excellent primary or supplementary textfor graduate-level algebra courses. It is also an extremely usefulresource for professionals and researchers in many areas who musttackle abstract, linear, or universal algebra in the course oftheir work.
This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem. Further related topics and applications are treated in separate chapters and in the appendix.
The textbook gives a brief description of theoretical material on the studied sections of the course. There are given and analyzed numerous examples illustrating various types of tasks and methods for solving them. At the end of each chapter, there are given tasks for independent solution. All these tasks are provided with answers. The tutorial contains a lot of illustrations.The given textbook is intended to help the students of the training program 02.03.02 «Computer Science Informatics and Information Technologies» in studying the practical part of the course «Continuous Mathematics» in the first semester.
This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton's quaternions. Along the way, the authors carefully develop the necessary concepts and methods from abstract algebra: monoids, groups, rings, fields, and skew fields. Each chapter ends with an appendix discussing related topics from algebra and number theory, including recent developments reflecting the relevance of the material to current research. The present volume is intended for undergraduate courses in abstract algebra or elementary number theory. The inclusion of exercises with solutions also makes it suitable for self-study and accessible to anyone with an interest in modern algebra and number theory.
The monograph is the second part of the corresponding series of books. And it will be useful for scientists, designers, engineers whose activities are related to improving the technical, economic and operational indicators of non-traction rolling stock at various stages of its life cycle. In particular, the issue of the possibility and expediency of introducing various types of structural hierarchy of composite components in the construction of wagons. What can happen when creating new models of them or modernizing existing ones. To date, the traditional approach to creating a structure of freight wagons from steel has almost completely exhausted the potential for improving their technical, economic and operational indicators. At the same time, the experience of the development of composite materials and technologies for their creation in other branches of light and heavy engineering and instrument building indicates the prospect of deploying relevant research and development works on the use of such materials in railcar construction. The purpose of the monograph is to highlight the results obtained from the creation of conceptual solutions for the manufacture of component load-carrying systems of freight cars from composites. The book also presents the results of works of a theoretical and practical nature. In particular, it is given. Model of deformation of space-reinforced fibrous materials. Analysis of the temperature effect on the stress-strain state of the tank wagon composite boiler during steaming. Separate issues of creating conceptual solutions for the manufacture of component freight wagons from composites. Analysis of the strength of the composite module of the body of a coal wagon. The book can be used as a study guide for the preparation of bachelors, masters, doctors of philosophy and doctors of sciences in various specialties of transport mechanics. Including from specialties: railway transport, transport technologies, mechanical engineering, materials science and others.
This book discusses response feature technology and its applications to modeling, optimization, and computer-aided design of high-frequency structures including antenna and microwave components. By exploring the specific structure of the system outputs, feature-based approaches facilitate simulation-driven design procedures, both in terms of improving their computational efficiency and reliability. These benefits are associated with the weakly nonlinear relationship between feature point coordinates and design variables, which—in the context of optimization—leads to inherent regularization of the objective functions. The book provides an overview of the subject, a definition and extraction of characteristic points, and feature-based design problem reformulation. It also outlines a number of numerical algorithms developed to handle local, global, and multi-criterial design, surrogate modeling, as well as uncertainty quantification. The discussed frameworks are extensively illustrated using examples of real microwave and antenna structures, along with numerous design cases. Introductory material on simulation-driven design, numerical optimization, as well as behavioral and physics-based surrogate modeling is also included. The book will be useful for readers working in the area of high-frequency electronics, including microwave engineering, antenna design, microwave photonics, magnetism and especially those who utilize electromagnetic (EM) simulation models in their daily routines.
The present thesis investigates the usage of higher order accurate time integrators together with appropriate error estimators for small and finite dynamic (visco)plasticity. Therefore, a general (visco)plastic problem is defined which serves as a basis to create closed-form solution strategies. A classical access towards small and finite (visco)plasticity is integrated into this concept. This approach is based on the idea, that the balance of linear momentum is formulated in a weak sense and the material laws are included indirectly. Thus, separate time discretizations are implemented and an appropriate coupling between them is necessary. Limitations for the usage of time integrators are the consequence. In contrast, an alternative multifield formulation is derived, adapting the principle of Jourdain. The idea is to assume that the balance of energy - taking into account a pseudopotential representing dissipative effects – resembles a rate-type functional, whose stationarity condition leads to the equations describing small or finite dynamic (visco)plasticity. Accordingly, the material laws and the balance of linear momentum can be solved on the same level and only one single time discretization has to be performed. A greater freedom in the choice of time integrators is obtained and the application of higher order accurate schemes - such as Newmark’s method, fully implicit as well as diagonally implicit Runge-Kutta schemes, and continuous as well as discontinuous Galerkin methods - is facilitated. An analysis and a comparison of the classical and the multifield formulation is accomplished by means of distinct examples. In this context, a dynamic benchmark problem is developed, which allows to focus on the effect of different time integrators. For this investigation, a variety of time discretization error estimators are formulated, evaluated, and compared.
Van der Waals Ferroelectrics A comprehensive guide to a unique class of compounds with a variety of applications Since the discovery of graphene, there has been intensive interest in two-dimensional materials with similar electronic and industrial applications. The limitations on the usefulness of graphene itself, however, have powered the search for other materials with similar properties. One such class of materials, the phosphorous chalcogenides, has proven a particularly fruitful avenue for research, due to the favorable band gap and ferroelectric properties of these materials. Van der Waals Ferroelectrics provides, for the first time, a detailed overview of this highly relevant and sought-after class of materials, also known as transition metal chalcogenophosphates (TMCPs). Focusing on physical properties, the book explores the complex physics underlying these compounds as well as the unique characteristics that have driven their ever-increasing importance to the materials science community. Van der Waals Ferroelectrics readers will also find: Both computational and experimental perspectives on TCMP compounds In-depth discussion of the properties essential to the design and construction of devices like sensors, actuators, memory chips, and capacitors The first detailed review of the functional properties of TCMP compounds, such as ferrielectricity, electrostriction, and ionic conductivity Van der Waals Ferroelectrics is a useful reference for materials scientists, inorganic chemists, solid state chemists, solid state physicists, electrical engineers, and libraries supporting these professions.
This volume contains proceedings of the conference on Trends in Banach Spaces and Operator Theory, which was devoted to recent advances in theories of Banach spaces and linear operators. Included in the volume are 25 papers, some of which are expository, while others present new results. The articles address the following topics: history of the famous James' theorem on reflexivity, projective tensor products, construction of noncommutative $L p$-spaces via interpolation, Banach spaces with abundance of nontrivial operators, Banach spaces with small spaces of operators, convex geometry of Coxeter-invariant polyhedra, uniqueness of unconditional bases in quasi-Banach spaces, dynamics of cohyponormal operators, and Fourier algebras for locally compact groupoids. The book is suitable for graduate students and research mathematicians interested in Banach spaces and operator theory and their applications.
This monograph presents a time-dynamic model for multivariate claim counts in actuarial applications. Inspired by real-world claim arrivals, the model balances interesting stylized facts (such as dependence across the components, over-dispersion and the clustering of claims) with a high level of mathematical tractability (including estimation, sampling and convergence results for large portfolios) and can thus be applied in various contexts (such as risk management and pricing of (re-)insurance contracts). The authors provide a detailed analysis of the proposed probabilistic model, discussing its relation to the existing literature, its statistical properties, different estimation strategies as well as possible applications and extensions. Actuaries and researchers working in risk management and premium pricing will find this book particularly interesting. Graduate-level probability theory, stochastic analysis and statistics are required.
This is a book describing electronic structure theory and application within the framework of a methodology implemented in the computer code RSPt. In 1986, when the code that was to become RSPt was developed enough to be useful, it was one of the ?rst full-potential, all-electron, relativistic implem- tations of DFT (density functional theory). While RSPt was documented p- asitically in many publications describing the results of its application, it was many years before a publication explicitly describing aspects of the method appeared. In the meantime, several excellent all-electron, full-potential me- ods had been developed, published, and become available. So why a book about RSPt now? The code that became RSPt was initially developed as a personal research tool, rather than a collaborative e?ort or as a product. As such it required some knowledge of its inner workings to use, and as it was meant to be m- imally ?exible, the code required experience to be used e?ectively. These - tributes inhibited, but did not prevent, the spread of RSPt as a research tool. While applicable across the periodic table, the method is particularly useful in describing a wide range of materials, including heavier elements and c- pounds, and its ?exibility provides targeted accuracy and a convenient and accurate framework for implementing and assessing the e?ect of new models.
Quantum computers, though not yet available on the market, will revolutionize the future of information processing. Quantum computers for special purposes like quantum simulators are already within reach. The physics of ultracold atoms, ions and molecules offer unprecedented possibilities of control of quantum many body systems and novel possibilities of applications to quantum information processing and quantum metrology. Particularly fascinating is the possibility of using ultracold atoms in lattices to simulate condensed matter or even high energy physics. This book provides a complete and comprehensive overview of ultracold lattice gases as quantum simulators. It opens up an interdisciplinary field involving atomic, molecular and optical physics, quantum optics, quantum information, condensed matter and high energy physics. The book includes some introductory chapters on basic concepts and methods, and then focuses on the physics of spinor, dipolar, disordered, and frustrated lattice gases. It reviews in detail the physics of artificial lattice gauge fields with ultracold gases. The last part of the book covers simulators of quantum computers. After a brief course in quantum information theory, the implementations of quantum computation with ultracold gases are discussed, as well as our current understanding of condensed matter from a quantum information perspective.
In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience.
This book provides a comprehensive treatment of multilinear operator integral techniques. The exposition is structured to be suitable for a course on methods and applications of multilinear operator integrals and also as a research aid. The ideas and contributions to the field are surveyed and up-to-date results and methods are presented. Most practical constructions of multiple operator integrals are included along with fundamental technical results and major applications to smoothness properties of operator functions (Lipschitz and Hölder continuity, differentiability), approximation of operator functions, spectral shift functions, spectral flow in the setting of noncommutative geometry, quantum differentiability, and differentiability of noncommutative L^p-norms. Main ideas are demonstrated in simpler cases, while more involved, technical proofs are outlined and supplemented with references. Selected open problems in the field are also presented.
AnnaSznajder centers this ethnography of gendered creative practice in the lace-making community of Bobowa, Poland. Grounded in rural gender studies and feminist epistemology, Polish Lace Makers: Gender, Heritage, and Identity is a pivotal historical and modern account of the social and economic behaviors of entrepreneurial craftswomen tasked with preserving the originality and symbolic value of lace. Sznajder traces the evolving work strategies and occupational identities of this community from the early 19th nineteenth century up to the modern day, outlining the challenges of World War II, communist rule, and socialist Poland. The case studies included in this account are emulative of the larger struggle of female entrepreneurs to self-manage, innovate, create, and provide for themselves and their families. This book is recommended for scholars of anthropology, sociology, gender studies, and European studies.
This is a self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students. It is the first book dealing with the linear-algebraic approach to nonlinear control systems in such a detailed and extensive fashion. It provides a complementary approach to the more traditional differential geometry and deals more easily with several important characteristics of nonlinear systems.
Are you about to start the Foundation Programme? Do you know what to expect and how to thrive? The Hands-on Guide for Junior Doctors, Fourth Edition, is the ultimate, practical guide for junior doctors and medical students. It helps you tackle the emotional, intellectual and physical demands of being a new doctor and allays common insecurities to help you make the most of your time in clinical practice. This book tells you how to prepare for the daily rigours of hospital life, and will help you meet the required standard. It provides advice on getting started in placements, and helps you develop confidence, with tips on what to do as a junior member of the hospital team, and how to deal with common calls and emergencies. There is also an invaluable chapter on how to perform the practical procedures you’ll be assessed on. With the Foundation Programme such a demanding process, both physically and emotionally, this book also provides the kind of information you don’t get at medical school, for example, how to look after yourself throughout your training. Take the stress out of the Foundation Programme with The Hands-on Guide!
The dynamical projectors method proves to reduce a multicomponent problem to the simplest one-component problem with its solution determined by specific initial or boundary conditions. Its universality and application in many different physical problems make it particularly useful in hydrodynamics, electrodynamics, plasma physics, and boundary layer problems. A great variety of underlying mechanisms are included making this book useful for those working in wave theory, hydrodynamics, electromagnetism, and applications. "The authors developed a universal and elegant tool – dynamical projector method. Using this method for very complicated hydro-thermodynamic and electrodynamics problem settings, they were able to get a lot of interesting analytical results in areas where before often just numerical methods were applicable." —L. A. Bordag, University of Applied Sciences Zittau/Görlitz, Zittau, Germany "The book is intended for professionals working in various fields of linear and nonlinear mathematical physics, partial differential equations and theoretical physics. The book is written clearly, and in my opinion, its material will be useful and easy to understand for professionals and for students familiar with ordinary and partial differential equations." —Sergey Dobrokhotov, Russian Academy of Sciences, Moscow, Russia
Introduces the theory and application of modes, covering topics in universal algebra, category theory, and modal theory, and includes exercises to illustrate concepts.
What the struggle over the Indonesian rainforests can teach us about the social frictions that shape the world around us Rubbing two sticks together produces heat and light while one stick alone is just a stick. It is the friction that produces movement, action, and effect. Anthropologist Anna Lowenhaupt Tsing challenges the widespread view that globalization invariably signifies a clash of cultures, developing friction as a metaphor for the diverse and conflicting social interactions that make up our contemporary world. Tsing focuses on the rainforests of Indonesia, where in the 1980s and 1990s capitalist interests increasingly reshaped the landscape not so much through corporate design as through awkward chains of legal and illegal entrepreneurs that wrested the land from previous claimants, creating resources for distant markets. In response, environmental movements arose to defend the rainforests and the communities of people who live in them. Not confined to a village, province, or nation, the social drama of the Indonesian rainforests includes local and national environmentalists, international science, North American investors, advocates for Brazilian rubber tappers, United Nations funding agencies, mountaineers, village elders, and urban students—all drawn into unpredictable, messy misunderstandings, but misunderstandings that sometimes work out. Providing an invaluable portfolio of methods for the study of global interconnections, Friction shows how cultural differences are in the grip of worldly encounter and reveals how much is overlooked in contemporary theories of the global.
Solve kid-sized dilemmas and mysteries with the Science Solves It! series. These fun books for kids ages 5–8 blend clever stories with real-life science. Why did the dog turn green? Can you control a hiccup? Is that a UFO? Find the answers to these questions and more as kid characters dive into physical, life, and earth sciences. Rick is headed out west to his aunt and uncle’s dude ranch. He gets to ride a horse and see the local wildlife. But best of all, Rick and his cousins find a cool cave nearby. Maybe the cave holds the key to a century-old stagecoach robbery! Books in this perfect STEM series will help kids think like scientists and get ahead in the classroom. Activities and experiments are included in every book! (Level One; Science topic: Caves)
The Seventh Edition of Anatomy and Physiology of Farm Animals is a thoroughly updated and revised version of this classic text. Drawing on current science and terminology with a number of new illustrations throughout and a new chapter on poultry, the book maintains its reputation for clarity, balanced scope, and breadth of content. The Seventh Edition provides veterinary, animal science, agriculture, and veterinary technician students with a comprehensive yet clear reference to understanding the fundamentals of anatomy and physiology.
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