- Table View
- List View
Rigid Geometry of Curves and Their Jacobians
by Werner LütkebohmertThis book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
Rigidity and Symmetry
by Robert Connelly Asia Ivić Weiss Walter WhiteleyThis book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists.
Rigor in the 6–12 Math and Science Classroom: A Teacher Toolkit
by Barbara R. Blackburn Abbigail ArmstrongLearn how to incorporate rigorous activities in your math or science classroom and help students reach higher levels of learning. Expert educators and consultants Barbara R. Blackburn and Abbigail Armstrong offer a practical framework for understanding rigor and provide specialized examples for middle and high school math and science teachers. Topics covered include: Creating a rigorous environment High expectations Support and scaffolding Demonstration of learning Assessing student progress Collaborating with colleagues The book comes with classroom-ready tools, offered in the book and as free eResources on our website at www.routledge.com/9781138302716.
Rigor in the K–5 Math and Science Classroom: A Teacher Toolkit
by Barbara R. Blackburn Abbigail ArmstrongLearn how to incorporate rigorous activities in your math or science classroom and help students reach higher levels of learning. Expert educators and consultants Barbara R. Blackburn and Abbigail Armstrong offer a practical framework for understanding rigor and provide specialized examples for elementary math and science teachers. Topics covered include: Creating a rigorous environment High expectations Support and scaffolding Demonstration of learning Assessing student progress Collaborating with colleagues The book comes with classroom-ready tools, offered in the book and as free eResources on our website at www.routledge.com/9780367343194.
Rigorous State-Based Methods: 7th International Conference, ABZ 2020, Ulm, Germany, May 27–29, 2020, Proceedings (Lecture Notes in Computer Science #12071)
by Alexander Raschke Dominique Méry Frank HoudekThis book constitutes the refereed proceedings of the 7th International Conference on Rigorous State-Based Methods, ABZ 2020, which was due to be held in Ulm, Germany, in May 2020. The conference was cancelled due to the COVID-19 pandemic. The 12 full papers and 9 short papers were carefully reviewed and selected from 61 submissions. They are presented in this volume together with 2 invited papers, 6 PhD-Symposium-contributions, as well as the case study and 6 accepted papers outlining solutions to it. The papers are organized in the following sections: keynotes and invited papers; regular research articles; short articles; articles contributing to the case study; short articles of the PhD-symposium (work in progress).
Rigorous State-Based Methods: 8th International Conference, ABZ 2021, Ulm, Germany, June 9–11, 2021, Proceedings (Lecture Notes in Computer Science #12709)
by Alexander Raschke Dominique MéryThis book constitutes the proceedings of the 8th International Conference on Rigorous State-Based Methods, ABZ 2021, which was planned to take place in Ulm, Germany, during June 6-11, 2021. The conference changed to an online format due to the COVID-19 pandemic. The 6 full and 8 short papers included in this volume were carefully reviewed and selected from 18 submissions. The proceedings also include 3 PhD symposium contributions. They deal with state-based and machine-based formal methods, mainly Abstract State Machines (ASM), Alloy, B, TLA+, VDM, and Z.
Rigorous State-Based Methods: 9th International Conference, ABZ 2023, Nancy, France, May 30–June 2, 2023, Proceedings (Lecture Notes in Computer Science #14010)
by Philippe Palanque Uwe Glässer Dominique Méry Jose Creissac CamposThis book constitutes the refereed proceedings of the 9th International Conference on Rigorous State-Based Methods, ABZ 2023, held in Nancy, France, in May 2023. The 12 full and 7 short papers included in this volume were carefully reviewed and selected from 47 submissions. The proceedings also include 4 PhD symposium contributions. They deal with state-based and machine-based formal methods, mainly Abstract State Machines (ASM), Alloy, B, TLA+, VDM, and Z.
Ring Theory And Algebraic Geometry
by Angel Granja Jose Angel Hermida Alain VerschorenFocuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.
Rings and Homology (Dover Books on Mathematics)
by James P. JansThis concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas. After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.
Rings of Continuous Function
by Charles E. AullThis book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and involvement with category theory, presented in the special session on Rings of Continuous Functions held in 1982 in Cincinnati, Ohio.
Rings, Extensions, and Cohomology: Proceedings Of The Conference On The Occasion Of The Retirement Of Daniel Zelinsky (Lecture Notes In Pure And Applied Mathematics Ser.)
by Andy R. Magid"Presenting the proceedings of a conference held recently at Northwestern University, Evanston, Illinois, on the occasion of the retirement of noted mathematician Daniel Zelinsky, this novel reference provides up-to-date coverage of topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology."
Rings, Groups, and Algebras
by X. H. Cao; S. X. Liu; K. P. Shum; C. C. Yang"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."
Rings, Hopf Algebras, and Brauer Groups
by Stefaan Caenepeel; Alain Verschoren"Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "
Rings, Modules, Algebras, and Abelian Groups (Lecture Notes in Pure and Applied Mathematics)
by Evan Houston Luigi Salce Alberta FacchiniRings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological
Rings, Modules, and Closure Operations (Springer Monographs in Mathematics)
by Jesse ElliottThis book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
Rising Threats in Expert Applications and Solutions: Proceedings of FICR-TEAS 2022 (Lecture Notes in Networks and Systems #434)
by Vijay Singh Rathore Subhash Chander Sharma Joao Manuel R. S. Tavares Catarina Moreira B. SurendiranThe book presents high-quality, peer-reviewed papers from the FICR International Conference on Rising Threats in Expert Applications and Solutions 2022 organized by IIS (Deemed to be University), Jaipur, Rajasthan, India, during January 7–8, 2022. The volume is a collection of innovative ideas from researchers, scientists, academicians, industry professionals, and students. The book covers a variety of topics, such as expert applications and artificial intelligence/machine learning; advance web technologies such as IoT, big data, cloud computing in expert applications; information and cyber security threats and solutions, multimedia applications in forensics, security and intelligence; advancements in app development; management practices for expert applications; and social and ethical aspects in expert applications through applied sciences.
Risk Analysis in Engineering and Economics
by Bilal M. AyyubRisk 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
Risk Analysis in Engineering: Techniques, Tools, and Trends
by Mohammad ModarresBased on the author's 20 years of teaching, Risk Analysis in Engineering: Techniques, Tools, and Trends presents an engineering approach to probabilistic risk analysis (PRA). It emphasizes methods for comprehensive PRA studies, including techniques for risk management. The author assumes little or no prior knowledge of risk analysis on the p
Risk Analysis in Finance and Insurance
by Alexander MelnikovRisk Analysis in Finance and Insurance, Second Edition presents an accessible yet comprehensive introduction to the main concepts and methods that transform risk management into a quantitative science. Taking into account the interdisciplinary nature of risk analysis, the author discusses many important ideas from mathematics, finance, and actuaria
Risk Analysis of Complex and Uncertain Systems
by Louis Anthony Cox Jr.In Risk Analysis of Complex and Uncertain Systems acknowledged risk authority Tony Cox shows all risk practitioners how Quantitative Risk Assessment (QRA) can be used to improve risk management decisions and policies. It develops and illustrates QRA methods for complex and uncertain biological, engineering, and social systems - systems that have behaviors that are just too complex to be modeled accurately in detail with high confidence - and shows how they can be applied to applications including assessing and managing risks from chemical carcinogens, antibiotic resistance, mad cow disease, terrorist attacks, and accidental or deliberate failures in telecommunications network infrastructure. This book was written for a broad range of practitioners, including decision risk analysts, operations researchers and management scientists, quantitative policy analysts, economists, health and safety risk assessors, engineers, and modelers.
Risk Assessment and Decision Analysis with Bayesian Networks
by Norman Fenton Martin NeilSince the first edition of this book published, Bayesian networks have become even more important for applications in a vast array of fields. This second edition includes new material on influence diagrams, learning from data, value of information, cybersecurity, debunking bad statistics, and much more. Focusing on practical real-world problem-solving and model building, as opposed to algorithms and theory, it explains how to incorporate knowledge with data to develop and use (Bayesian) causal models of risk that provide more powerful insights and better decision making than is possible from purely data-driven solutions. Features Provides all tools necessary to build and run realistic Bayesian network models Supplies extensive example models based on real risk assessment problems in a wide range of application domains provided; for example, finance, safety, systems reliability, law, forensics, cybersecurity and more Introduces all necessary mathematics, probability, and statistics as needed Establishes the basics of probability, risk, and building and using Bayesian network models, before going into the detailed applications A dedicated website contains exercises and worked solutions for all chapters along with numerous other resources. The AgenaRisk software contains a model library with executable versions of all of the models in the book. Lecture slides are freely available to accredited academic teachers adopting the book on their course.
Risk Assessment and Decision Making in Business and Industry: A Practical Guide, Second Edition
by Glenn KollerBuilding upon the technical and organizational groundwork presented in the first edition, Risk Assessment and Decision Making in Business and Industry: A Practical Guide, Second Edition addresses the many aspects of risk/uncertainty (R/U) process implementation. This comprehensive volume covers four broad aspects of R/U: general concepts, i
Risk Assessment of Dams (Springer Tracts in Civil Engineering)
by Aytaç Güven Alper AydemirThis book offers a timely report on methods for risk assessment procedures for dams, with a special emphasis on dams with small storage dimensions. It starts by introducing all important definitions relating to dams, dam safety, such as the most common failure modes, and risks. In turn, it describes in detail the most important evaluation procedures for various failure modes such as piping, flood, earthquake and stability are described in this chapter. Consequence assessment procedures, together with the different steps of the risk evaluation process, are analyzed, providing a guide on how to identify the appropriate failure mode for the examined dam and setting up the appropriate safety plan. The book introduces the most common methods for predicting peak breach discharge, analyzing some relevant case studies. Upon comparing the findings obtained with the different methods, the book concludes with some general suggestions and ideas for future developments. This book fills an important gap between theoretical works and real-life problems being investigating in practical research studies on dam safety and risk management. It provides readers with the necessary knowledge on risk analysis and shows how to apply this in practice to carry out dam safety studies. It offers practical guidelines to set up risk assessment procedures for different failure modes and predicting failure parameters such as failure time, peak breach discharge and breach width.
Risk Assessment with Time to Event Models (Environmental and Ecological Risk Assessment)
by Michael C. Newman Mark Crane Peter F. Chapman John FenlonHow can environmental regulators use information on 48-hour toxicity tests to predict the effects of a few minutes of pollution? Or, at the other extreme, what is the relevance of 96-hour toxicity data for organisms that may have been exposed to a pollutant for six months or more? Time to event methods are the key to answering these types of questi
Risk Assessment: Theory, Methods, and Applications (Statistics in Practice)
by Marvin Rausand Stein HaugenIntroduces risk assessment with key theories, proven methods, and state-of-the-art applications Risk Assessment: Theory, Methods, and Applications remains one of the few textbooks to address current risk analysis and risk assessment with an emphasis on the possibility of sudden, major accidents across various areas of practice—from machinery and manufacturing processes to nuclear power plants and transportation systems. Updated to align with ISO 31000 and other amended standards, this all-new 2nd Edition discusses the main ideas and techniques for assessing risk today. The book begins with an introduction of risk analysis, assessment, and management, and includes a new section on the history of risk analysis. It covers hazards and threats, how to measure and evaluate risk, and risk management. It also adds new sections on risk governance and risk-informed decision making; combining accident theories and criteria for evaluating data sources; and subjective probabilities. The risk assessment process is covered, as are how to establish context; planning and preparing; and identification, analysis, and evaluation of risk. Risk Assessment also offers new coverage of safe job analysis and semi-quantitative methods, and it discusses barrier management and HRA methods for offshore application. Finally, it looks at dynamic risk analysis, security and life-cycle use of risk. Serves as a practical and modern guide to the current applications of risk analysis and assessment, supports key standards, and supplements legislation related to risk analysis Updated and revised to align with ISO 31000 Risk Management and other new standards and includes new chapters on security, dynamic risk analysis, as well as life-cycle use of risk analysis Provides in-depth coverage on hazard identification, methodologically outlining the steps for use of checklists, conducting preliminary hazard analysis, and job safety analysis Presents new coverage on the history of risk analysis, criteria for evaluating data sources, risk-informed decision making, subjective probabilities, semi-quantitative methods, and barrier management Contains more applications and examples, new and revised problems throughout, and detailed appendices that outline key terms and acronyms Supplemented with a book companion website containing Solutions to problems, presentation material and an Instructor Manual Risk Assessment: Theory, Methods, and Applications, Second Edition is ideal for courses on risk analysis/risk assessment and systems engineering at the upper-undergraduate and graduate levels. It is also an excellent reference and resource for engineers, researchers, consultants, and practitioners who carry out risk assessment techniques in their everyday work.