Introduction to Abelian Model Structures and Gorenstein Homological Dimensions PDF Download
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Author: Marco A. P. Bullones
Publisher: CRC Press
ISBN: 149872535X
Category : Mathematics
Languages : en
Pages : 370
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Book Description
Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics. The book shows how to obtain new model structures in homological algebra by constructing a pair of compatible complete cotorsion pairs related to a specific homological dimension and then applying the Hovey Correspondence to generate an abelian model structure. The first part of the book introduces the definitions and notations of the universal constructions most often used in category theory. The next part presents a proof of the Eklof and Trlifaj theorem in Grothedieck categories and covers M. Hovey’s work that connects the theories of cotorsion pairs and model categories. The final two parts study the relationship between model structures and classical and Gorenstein homological dimensions and explore special types of Grothendieck categories known as Gorenstein categories. As self-contained as possible, this book presents new results in relative homological algebra and model category theory. The author also re-proves some established results using different arguments or from a pedagogical point of view. In addition, he proves folklore results that are difficult to locate in the literature.
Author: Marco A. P. Bullones
Publisher: CRC Press
ISBN: 149872535X
Category : Mathematics
Languages : en
Pages : 370
Get Book Here
Book Description
Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics. The book shows how to obtain new model structures in homological algebra by constructing a pair of compatible complete cotorsion pairs related to a specific homological dimension and then applying the Hovey Correspondence to generate an abelian model structure. The first part of the book introduces the definitions and notations of the universal constructions most often used in category theory. The next part presents a proof of the Eklof and Trlifaj theorem in Grothedieck categories and covers M. Hovey’s work that connects the theories of cotorsion pairs and model categories. The final two parts study the relationship between model structures and classical and Gorenstein homological dimensions and explore special types of Grothendieck categories known as Gorenstein categories. As self-contained as possible, this book presents new results in relative homological algebra and model category theory. The author also re-proves some established results using different arguments or from a pedagogical point of view. In addition, he proves folklore results that are difficult to locate in the literature.
Author: Thomas G. Muth
Publisher: Springer Science & Business Media
ISBN: 3540271260
Category : Technology & Engineering
Languages : en
Pages : 291
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Book Description
Designed to make life easier for most network designers, whether they are a manager with technical background, work with standardization, the architecture of implementers’ solutions to standards, product design (constructing the software and hardware parts of operator networks), system testing, and for operators responsible for the configuration and maintenance of a network. Develops modeling as a basic principle for producing specifications turns design from being document driven to model-driven. In the context of this book, however, the only model type that is discussed is the information model that describes the purpose, structure, and behavior of a network. Presents an added-value modeling language that called AMLn (Abstract Modeling Language, network view), which is the first and, so far, the only attempt to create a modeling language for network systems.
Author: T. M. Charlton
Publisher: Elsevier
ISBN: 1483138119
Category : Technology & Engineering
Languages : en
Pages : 125
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Book Description
Model Analysis of Plane Structures deals with simple techniques of analysis plane structures with the aid of scale models. Model analysis of the kind considered herein is a means of replacing the numerical work of formal structural analysis by mechanical operations. It utilizes the same assumptions as formal analysis and offers nothing more in the end-product, but the user gains unique insight into structural behavior. The book begins with a discussion of early approaches to systematic model analysis and the limitations and accuracy of model analysis. This is followed by separate chapters on the approach to flexural similarity, which consists essentially of determining directly the conditions for the properties of deformation of two geometrically similar structures to be similar; the theory of indirect model analysis; and models of frame networks. The final two chapters deal with the use of models for indirect analysis and direct analysis, respectively; these conclude with sample problems to enable readers to test their understanding of the subject matter.
Author: Hans-Dieter Höltje
Publisher: John Wiley & Sons
ISBN: 3527614761
Category : Science
Languages : en
Pages : 206
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Book Description
Written by experienced experts in molecular modeling, this books describes the basics to the extent that is necessary if one wants to be able to reliably judge the results from molecular modeling calculations. Its main objective is the description of the various pitfalls to be avoided. Without unnecessary overhead it leads the reader from simple calculations on small molecules to the modeling of proteins and other relevant biomolecules. A textbook for beginners as well as an invaluable reference for all those dealing with molecular modeling in their daily work!
Author: Paulraj Ponniah
Publisher: John Wiley & Sons
ISBN: 0470141018
Category : Computers
Languages : en
Pages : 460
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Book Description
The purpose of this book is to provide a practical approach for IT professionals to acquire the necessary knowledge and expertise in data modeling to function effectively. It begins with an overview of basic data modeling concepts, introduces the methods and techniques, provides a comprehensive case study to present the details of the data model components, covers the implementation of the data model with emphasis on quality components, and concludes with a presentation of a realistic approach to data modeling. It clearly describes how a generic data model is created to represent truly the enterprise information requirements.
Author: Insu Paek
Publisher: Routledge
ISBN: 1351008153
Category : Psychology
Languages : en
Pages : 281
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Book Description
Item response theory (IRT) is widely used in education and psychology and is expanding its applications to other social science areas, medical research, and business as well. Using R for Item Response Theory Model Applications is a practical guide for students, instructors, practitioners, and applied researchers who want to learn how to properly use R IRT packages to perform IRT model calibrations with their own data. This book provides practical line-by-line descriptions of how to use R IRT packages for various IRT models. The scope and coverage of the modeling in the book covers almost all models used in practice and in popular research, including: dichotomous response modeling polytomous response modeling mixed format data modeling concurrent multiple group modeling fixed item parameter calibration modelling with latent regression to include person-level covariate(s) simple structure, or between-item, multidimensional modeling cross-loading, or within-item, multidimensional modeling high-dimensional modeling bifactor modeling testlet modeling two-tier modeling For beginners, this book provides a straightforward guide to learn how to use R for IRT applications. For more intermediate learners of IRT or users of R, this book will serve as a great time-saving tool for learning how to create the proper syntax, fit the various models, evaluate the models, and interpret the output using popular R IRT packages.
Author: Robert Wrembel
Publisher: IGI Global
ISBN: 1599043645
Category : Computers
Languages : en
Pages : 361
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Book Description
Data warehouses and online analytical processing (OLAP) are emerging key technologies for enterprise decision support systems. They provide sophisticated technologies from data integration, data collection and retrieval, query optimization, and data analysis to advanced user interfaces. New research and technological achievements in the area of data warehousing are implemented in commercial database management systems, and organizations are developing data warehouse systems into their information system infrastructures. Data Warehouses and OLAP: Concepts, Architectures and Solutions covers a wide range of technical, technological, and research issues. It provides theoretical frameworks, presents challenges and their possible solutions, and examines the latest empirical research findings in the area. It is a resource of possible solutions and technologies that can be applied when designing, implementing, and deploying a data warehouse, and assists in the dissemination of knowledge in this field.
Author: Fazilah Hassan
Publisher: Springer Nature
ISBN: 981997240X
Category : Computers
Languages : en
Pages : 518
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Book Description
This book constitutes the refereed proceedings of the 22nd Asia Simulation Conference on Methods and Applications for Modeling and Simulation of Complex Systems, AsiaSim 2023, held in Langkawi, Malaysia, during October 25–26, 2023. The 77 full papers included in this book were carefully reviewed and selected from 164 submissions. They were organized in topical sections as follows: Modelling and Simulation, Artificial intelligence, Industry 4.0, Digital Twins Modelling, Simulation and Gaming, Simulation for Engineering, Simulation for Sustainable Development, Simulation in Social Sciences.
Author: M. G. Rodd
Publisher: Elsevier
ISBN: 1483146898
Category : Technology & Engineering
Languages : en
Pages : 159
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Book Description
Artificial Intelligence in Real-Time Control documents the proceedings of the IFAC Workshop held in Clyne Castle, Swansea, UK, 21-23 September 1988. It includes two keynote addresses that discussed architectural issues for expert systems in real-time control; the problem of representing knowledge and reasoning; and the problems encountered in obtaining such information. Other papers contained in these proceedings are representative of the major research bodies active throughout the world in the application of AI techniques in real-time control, although it was inevitable that a Europe-based conference would highlight the work of the European groups. While AI is clearly still in the process of establishing itself, it is undoubtedly a major new area of engineering endeavor. Practical experience is still relatively limited, and many of the results discussed at this event were obtained through simulation or, in a few cases, from reduced practical experience. The importance, though, lies in the fact that many countries are pouring extensive resources into the attempt to control difficult processes by using AI techniques. The wide cross section of interest was demonstrated by the fact that many diverse industries were represented at the workshop—ranging from power-systems control to telecommunications, and into the steel industry.
Author: Ne-Zheng Sun
Publisher: Springer
ISBN: 1493923234
Category : Mathematics
Languages : en
Pages : 638
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Book Description
This three-part book provides a comprehensive and systematic introduction to these challenging topics such as model calibration, parameter estimation, reliability assessment, and data collection design. Part 1 covers the classical inverse problem for parameter estimation in both deterministic and statistical frameworks, Part 2 is dedicated to system identification, hyperparameter estimation, and model dimension reduction, and Part 3 considers how to collect data and construct reliable models for prediction and decision-making. For the first time, topics such as multiscale inversion, stochastic field parameterization, level set method, machine learning, global sensitivity analysis, data assimilation, model uncertainty quantification, robust design, and goal-oriented modeling, are systematically described and summarized in a single book from the perspective of model inversion, and elucidated with numerical examples from environmental and water resources modeling. Readers of this book will not only learn basic concepts and methods for simple parameter estimation, but also get familiar with advanced methods for modeling complex systems. Algorithms for mathematical tools used in this book, such as numerical optimization, automatic differentiation, adaptive parameterization, hierarchical Bayesian, metamodeling, Markov chain Monte Carlo, are covered in details. This book can be used as a reference for graduate and upper level undergraduate students majoring in environmental engineering, hydrology, and geosciences. It also serves as an essential reference book for professionals such as petroleum engineers, mining engineers, chemists, mechanical engineers, biologists, biology and medical engineering, applied mathematicians, and others who perform mathematical modeling.
