Numerically represent

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  • The learning activities described in this guide demonstrate how the mathematical processes help students develop mathematical understanding. Opportunities to solve problems, to reason mathematically, to reflect on new ideas, and so on, make mathematics meaningful for students.

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  • The analysis model of a structure includes nodes (joints), elements and boundary conditions. Finite elements are used in data entry, representing members of the structure for numerical analysis, and nodes define the locations of such members. Boundary conditions represent the status of connections between the structure and neighboring structures such as foundations. A structural analysis refers to mathematical simulations of a numerical analysis model of a structure.

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  • The mitigation of earthquake-related hazards represents a key role in the modern society. The mitigation of such kind of hazards spans from detailed studies on seismicity, evaluation of site effects, and seismo-induced landslides, tsunamis as well as and the design and analysis of structures to resist such actions. The study of earthquakes ties together science, technology and expertise in infrastructure and engineering in an effort to minimize human and material losses when they inevitably occur.

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  • Mathematics in Action: Algebraic, Graphical, and Trigonometric Problem Solving, Fourth Edition, is intended to help college mathematics students gain mathematical literacy in the real world and simultaneously help them build a solid foundation for future study in mathematics and other disciplines. Our team of fourteen faculty, primarily from the State University of New York and the City University of New York systems, used the AMATYC Crossroads standards to develop this threebook series to serve a very large population of college students at the pre-precalculus level.

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  • This research monograph concerns the design and analysis of discrete-time approximations for stochastic differential equations (SDEs) driven by Wiener processes and Poisson processes or Poisson jump measures. In financial and actuarial modeling and other areas of application, such jump diffusions are often used to describe the dynamics of various state variables. In finance these may represent, for instance, asset prices, credit ratings, stock indices, interest rates, exchange rates or commodity prices.

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  • This book will interest researchers, scientists, engineers and graduate students in many disciplines, who make use of mathematical modeling and computer simulation. Although it represents only a small sample of the research activity on numerical simulations, the book will certainly serve as a valuable tool for researchers interested in getting involved in this multidisciplinary field. It will be useful to encourage further experimental and theoretical researches in the above mentioned areas of numerical simulation...

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  • Air pollution does not only damage the air; it also damages environments on Earth’s surface and their inhabitants. Plants and animals are harmed by air pollution. Sometimes it is the pollutants themselves that cause damage. Other times pollutants combine and change the resources that plants and animals depend upon such as water, soil, and nutrients. The impacts of air pollution are diverse and numerous. Air pollution can have serious consequences for the health of human beings, and also severely affects natural ecosystems.

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  • The present volume, compiled in honor of an outstanding historian of science, physicist and exceptional human being, Sam Schweber, is unique in assembling a broad spectrum of positions on the history of science by some of its leading representatives. Readers will find it illuminating to learn how prominent authors judge the current status and the future perspectives of their field. Students will find this volume helpful as a guide in a fragmented field that continues to be dominated by idiosyncratic expertise and still lacks a methodical canon.

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  • The use of open source softwares helps users learn the internal structure of numerical models. However, open source softwares usually require linking to auxiliary programs for data preprocessing, postprocessing, and visualization. The users also have to understand the problem thoroughly, and may at times modify the source code so that the model could better represent the natural mechanisms.

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  • A set of the same kind of data processed by a computer is called a "data type." In the program design stage, the way data should be represented and programmed into a computer must be examined carefully, so that the most appropriate data type can be chosen. A data type that is represented and programmed is called a "data structure."

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  • Construction of bounds on the elastic moduli of isotropic multicomponent materials which involve three-point correlation parameters. We use numerical methods to study several representative material models. Construction of three-point correlation bounds on the effective elastic shear modulus of composite materials and applications of the bounds are given to some composites.

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  • am sincerely appreciative of the many public and private institutions that have provided resource material from which I was able to shape this text. In this regard, I am particularly indebted to the Federal Aviation Administration for their numerous publications. Faculty and students at University Aviation Association institutions who have reviewed material in the previous four editions have significantly shaped this book. To them I owe a special thanks because they represent the true constituency of any textbook author....

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  • Functional magnetic resonance imaging (fMRI) represents one of the most advanced and enlightening functional imaging techniques that has ever been developed. The past ten years (1990–2000) of scientific research has been designated the decade of the brain and has led to numerous technological developments and the establishment of fundamental clinical protocols to understand brain functions. The next decade, the beginning of the 21st century, will continue the great momentum of brain research.

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  • .Advance Praise for Pricing, Risk, and Performance Measurement in Practice “The book represents a fresh and innovative departure from ‘traditional’ approaches to modelling of securities data. Subsequently, it also presents much more flexible ways to analyze and process the data. Even if you are not involved with re-architecting an organization’s master data handling, there are numerous ideas, principles, and nuggets that make it a worthwhile read.” –Dr.

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  • Beginning Database Design, Second Edition provides short, easy-to-read explanations of how to get database design right the first time. This book offers numerous examples to help you avoid the many pitfalls that entrap new and not-so-new database designers. Through the help of use cases and class diagrams modeled in the UML, you’ll learn to discover and represent the details and scope of any design problem you choose to attack.

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  • Lifetime-Oriented Structural Design Concepts- P1: At the beginning of 1996, the Cooperative Research Center SFB 398 financially supported by the German Science Foundation (DFG) was started at Ruhr-University Bochum (RUB). A scientists group representing the fields of structural engineering, structural mechanics, soil mechanics, material science, and numerical mathematics introduced a research program on “lifetimeoriented design concepts on the basis of damage and deterioration aspects”.

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  • For many students a College Algebra course represents the first opportunity to discover the beauty and practical power of mathematics. Thus instructors are faced with the challenge of teaching the concepts and skills of algebra while at the same time imparting a sense of its utility in the real world. In this edition, as in the previous four editions, our aim is to provide instructors and students with tools they can use to meet this challenge. The emphasis is on understanding concepts. Certainly all instructors are committed to encouraging conceptual understanding.

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  • en the space limitations, the added material supplements, expands, and reinforces the ana-lytical methods that were, and continue to be, the main focus of this book. The analytical methods are the foundation of electromagnetics and provide understanding and physical interpretation of electromagnetic phenomena and interactions. Although numerical and computational methods have, especially in the last four decades, played a key role in the solution of complex elec-tromagnetic problems, they are highly dependent on fundamental principles.

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  • MD PRMA ON CODE-TIME-SLOTS This chapter is concerned with MD PRMA on perfect-collision code-time-slot channels. The simple and abstract channel model used, representative for a blocking-limited system, allows one to consider an arbitrary number of code-slots E per time-slot, without having to worry about the spreading factor required to meet a certain packet erasure performance.

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  • Lifetime-Oriented Structural Design Concepts- P2: At the beginning of 1996, the Cooperative Research Center SFB 398 financially supported by the German Science Foundation (DFG) was started at Ruhr-University Bochum (RUB). A scientists group representing the fields of structural engineering, structural mechanics, soil mechanics, material science, and numerical mathematics introduced a research program on “lifetimeoriented design concepts on the basis of damage and deterioration aspects”.

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