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The Role of Statistics in Business and Industry
by Gerald J. Hahn Necip DoganaksoyAn insightful guide to the use of statistics for solving key problems in modern-day business and industry This book has been awarded the Technometrics Ziegel Prize for the best book reviewed by the journal in 2010. Technometrics is a journal of statistics for the physical, chemical and engineering sciences, published jointly by the American Society for Quality and the American Statistical Association. Criteria for the award include that the book brings together in one volume a body of material previously only available in scattered research articles and having the potential to significantly improve practice in engineering and science. Highlighting the relevance of statistical methods in everyday applications, The Role of Statistics in Business and Industry bridges the gap between the tools of statistics and their use in today's business world. This one-of-a-kind resource encourages the proactive use of statistics in three well-organized and succinct parts: Setting the Stage provides an introduction to statistics, with a general overview of its uses in business and industry Manufactured Product Applications explains how statistical techniques assist in designing, building, improving, and ensuring the reliability of a wide variety of manufactured products such as appliances, plastic materials, aircraft engines, and locomotives Other Applications describe the role of statistics in pharmaceuticals, finance, and business services, as well as more specialized areas including the food, semiconductor, and communications industries This book is truly unique in that it first describes case studies and key business problems, and then shows how statistics is used to address them, while most literature on the topic does the reverse. This approach provides a comprehensive understanding of common issues and the most effective methods for their treatment. Each chapter concludes with general questions that allow the reader to test their understanding of the presented statistical concepts as well as technical questions that raise more complex issues. An extensive FTP site provides additional material, including solutions to some of the applications. With its accessible style and real-world examples, The Role of Statistics in Business and Industry is a valuable supplement for courses on applied statistics and statistical consulting at the upper-undergraduate and graduate levels. It is also an ideal resource for early-career statisticians and practitioners who would like to learn the value of applying statistics to their everyday work.
The Role of the History of Mathematics in the Teaching/Learning Process: A CIEAEM Sourcebook (Advances in Mathematics Education)
by Sixto Romero Sanchez Ana Serradó Bayés Peter Appelbaum Gilles AldonThis volume presents multiple perspectives on the uses of the history of mathematics for teaching and learning, including the value of historical topics in challenging mathematics tasks, for provoking teachers’ reflection on the nature of mathematics, curriculum development questions that mirror earlier pedagogical choices in the history of mathematics education, and the history of technological innovations in the teaching and learning of mathematics. An ethnomathematical perspective on the history of mathematics challenges readers to appreciate the role of mathematics in perpetuating consequences of colonialism. Histories of the textbook and its uses offer interesting insights into how technology has changed the fundamental role of curriculum materials and classroom pedagogies. History is explored as a source for the training of teachers, for good puzzles and problems, and for a broad understanding of mathematics education policy. Third in a series of sourcebooks from the International Commission for the Study and Improvement of Mathematics Teaching, this collection of cutting-edge research, stories from the field, and policy implications is a contemporary and global perspective on current possibilities for the history of mathematics for mathematics education. This latest volume integrates discussions regarding history of mathematics, history of mathematics education and history of technology for education that have taken place at the Commission's recent annual conferences.
Rosenbrock—Wanner–Type Methods: Theory and Applications (Mathematics Online First Collections)
by Tim Jax Andreas Bartel Matthias Ehrhardt Michael Günther Gerd SteinebachThis book discusses the development of the Rosenbrock—Wanner methods from the origins of the idea to current research with the stable and efficient numerical solution and differential-algebraic systems of equations, still in focus. The reader gets a comprehensive insight into the classical methods as well as into the development and properties of novel W-methods, two-step and exponential Rosenbrock methods. In addition, descriptive applications from the fields of water and hydrogen network simulation and visual computing are presented.
Rotating Machinery, Optical Methods & Scanning LDV Methods, Volume 6: Proceedings of the 39th IMAC, A Conference and Exposition on Structural Dynamics 2021 (Conference Proceedings of the Society for Experimental Mechanics Series)
by Dario Di Maio Javad BaqersadRotating Machinery, Optical Methods & Scanning LDV Methods, Volume 6: Proceedings of the 39th IMAC, A Conference and Exposition on Structural Dynamics, 2021, the sixth volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Health Monitoring, including papers on:Novel TechniquesOptical Methods,Scanning LDV MethodsPhotogrammetry & DICRotating Machinery
Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics #2214)
by Saeed ZakeriThis monograph examines rotation sets under the multiplication by d (mod 1) map and their relation to degree d polynomial maps of the complex plane. These sets are higher-degree analogs of the corresponding sets under the angle-doubling map of the circle, which played a key role in Douady and Hubbard's work on the quadratic family and the Mandelbrot set. Presenting the first systematic study of rotation sets, treating both rational and irrational cases in a unified fashion, the text includes several new results on their structure, their gap dynamics, maximal and minimal sets, rigidity, and continuous dependence on parameters. This abstract material is supplemented by concrete examples which explain how rotation sets arise in the dynamical plane of complex polynomial maps and how suitable parameter spaces of such polynomials provide a complete catalog of all such sets of a given degree. As a main illustration, the link between rotation sets of degree 3 and one-dimensional families of cubic polynomials with a persistent indifferent fixed point is outlined. The monograph will benefit graduate students as well as researchers in the area of holomorphic dynamics and related fields.
Rotation Transforms for Computer Graphics
by John VinceRotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners. The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa.
Rotations, Quaternions, and Double Groups
by Simon L. AltmannThis self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems.Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary.
Rough Draft Math: Rough Draft Math: Revising To Learn
by Amanda JansenMany students, especially as they get older, only share their thinking in math class when they’re sure they have the right answer. This means that some students hardly talk at all. Yet, talking and writing about in-process and unfinished ideas are vital to learning mathematics. How can we meet this challenge? Amanda (Mandy) Jansen and her collaborating teachers have developed a breakthrough approach: expand the idea of 'rough drafts' to the mathematics classroom. In Rough Draft Math, Mandy shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they talk to learn through problem-solving rather than talking only to perform right answers. In the process, a class of students becomes a community of mathematical thinkers, and teachers gain access into their students’ ideas and understandings. Inside you’ll find the following: an exploration of what the idea of revision could mean for math teaching and learning classroom vignettes to see rough draft math in action specific teaching techniques to encourage and practice rough draft thinking voices of teachers and students in rough draft classrooms Mandy’s reflections about her own teaching as a work in progress In Rough Draft Math, Mandy shows how to create a classroom culture in which your students will feel more comfortable expressing their partial understandings and in-process thinking, and then continually revising that thinking as they build deep, conceptual understanding of mathematics.
Rough Draft Math: Revising to Learn
by Amanda JansenTalking and writing about unfinished ideas is vital to learning mathematics, but most students only speak up when they think they have the right answer - especially middle school and high school students. Amanda Jansen and her collaborating teachers have developed a breakthrough approach to address this challenge. Rough Draft Math: Revising to Learn, Jansen shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they problem-solve rather than talking only to perform right answers. Creating a Community of Learners: As part of the rough draft framework, a class of students becomes an equitable and inclusive community of thinkers, one where students feel safe to engage in discourse while developing mathematical competency and confidence Practical Application of Innovative Ideas: This book includes specific teaching techniques and a range of classroom vignettes showing rough draft math in action within a student-centered teaching approach. Children can develop solutions at their own pace and share thought processes behind their conclusions Classroom Tested: Jansen has developed the concept of rough draft math in collaboration with a diverse group of dynamic and reflective teachers. Rough Draft Math' provides a blueprint for educators to allow free-thinking discussion while maintaining the mathematical learning goalsRough Draft Math, Jansen shows how to create an energetic classroom culture where students readily participate and share their evolving understanding while engaging in math talk, collaborative problem solving, and ongoing revision of ideas. '
Rough Fuzzy Image Analysis: Foundations and Methodologies (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)
by Sankar K. Pal James F. PetersFuzzy sets, near sets, and rough sets are useful and important stepping stones in a variety of approaches to image analysis. These three types of sets and their various hybridizations provide powerful frameworks for image analysis. Emphasizing the utility of fuzzy, near, and rough sets in image analysis, Rough Fuzzy Image Analysis: Foundations and
Rough Multiple Objective Decision Making
by Jiuping Xu Zhimiao TaoUnder intense scrutiny for the last few decades, Multiple Objective Decision Making (MODM) has been useful for dealing with the multiple-criteria decisions and planning problems associated with many important applications in fields including management science, engineering design, and transportation. Rough set theory has also proved to be an effect
Rough Sets
by Víctor Flores Fernando Gomide Andrzej Janusz Claudio Meneses Duoqian Miao Georg Peters Dominik Ślęzak Guoyin Wang Richard Weber Yiyu YaoVolume XII of the Transactions on Rough Sets (TRS) includes articles that are part of a special issue on Rough Set Structuring of Knowledge. These articles are extended versions of papers accepted for presentation at the Rough Set and Knowledge Technology Conference (RSKT 2008) organized in Chengdu, China, in May 2008. In fact, this conference did not take place because of the earthquake that dramatically hit the Chengdu province just before the event. The editors selected some papers accepted for RSKT 2008 and invited their authors to submit extended versions to this issue. The 11 submissions received after this invitation were sent to reviewers and, ?nally, 8 papers were accepted for publication in the special issue. The editors of the special issue are particularly grateful to all the authors of submitted papers, and to the editors of Transactions on Rough Sets, JamesF. Peters and Andrzej Skowron, who provided friendly and valuable assistance in the reviewing process. Special thanks are due to the following reviewers: Mohua Banerjee, Anna Gomolinsk a, Ryszard Janicki, Julia Johnson, Maneesh Joshi, Jusheng Mi, Sonajharia Minz, Sushmita Mitra, Tuan Trung Nguyen, Georg Pe- ters, Andrzej Skowron, Genlou Sun, Marcin Szczuka, Dominik Sl, ezak, Guoyin Wang, Hai Wang, Marcin Wolski, Haiyi Zhang, Yan Zhao, William Zhu. Their laudable e?orts made possible a careful selection and revision of submitted manuscripts. "
Rough Sets: International Joint Conference, IJCRS 2024, Halifax, NS, Canada, May 17–20, 2024, Proceedings, Part II (Lecture Notes in Computer Science #14840)
by Pawan Lingras Dominik Ślęzak Yan Zhang Chris Cornelis JingTao Yao Mengjun HuThis two-volume set LNAI 14839-14840 constitutes the refereed proceedings of the International Joint Conference on Rough Sets, IJCRS 2024, held in Halifax, NS, Canada, during May 17–20, 2024. The 43 full papers included in this book were carefully reviewed and selected from 56 submissions. They are organized in topical sections as follows: Part I: Rough Set Models and Foundations; Rule Induction and Machine Learning; Granular Computing; and Rough Set Applications. part II: Three-Way Decision and Rough Sets; Three-Way Decision in Data Analytics; Three-Way Decision in Broad Senses; Rental Market Data Mining; and Applications of Deep Learning and Soft Computing.
Rough Sets: International Joint Conference, IJCRS 2024, Halifax, NS, Canada, May 17–20, 2024, Proceedings, Part I (Lecture Notes in Computer Science #14839)
by Pawan Lingras Dominik Ślęzak Yan Zhang Chris Cornelis JingTao Yao Mengjun HuThis two-volume set LNAI 14839-14840 constitutes the refereed proceedings of the International Joint Conference on Rough Sets, IJCRS 2024, held in Halifax, NS, Canada, during May 17–20, 2024. The 43 full papers included in this book were carefully reviewed and selected from 56 submissions. They are organized in topical sections as follows: Part I: Rough Set Models and Foundations; Rule Induction and Machine Learning; Granular Computing; and Rough Set Applications. Part II: Three-Way Decision and Rough Sets; Three-Way Decision in Data Analytics; Three-Way Decision in Broad Senses; Rental Market Data Mining; and Applications of Deep Learning and Soft Computing.
Rough Sets: International Joint Conference, IJCRS 2018, Quy Nhon, Vietnam, August 20-24, 2018, Proceedings (Lecture Notes in Computer Science #11103)
by Hung Son Nguyen Quang-Thuy Ha Tianrui Li Małgorzata Przybyła-KasperekThis LNAI 1103 constitutes the proceedings of the International Joint Conference on Rough Sets, IJCRS 2018, held in Quy Nhon, Vietnam, in August 2018.The 40 full papers presented together with 5 short papers were carefully reviewed and selected from 61 submissions. The IJCRS conferences aim at bringing together experts from universities and research centers as well as the industry representing fields of research in which theoretical and applicational aspects of rough set theory already find or may potentially find usage.
Rough Sets
by Lech Polkowski Yiyu Yao Piotr Artiemjew Davide Ciucci Dun Liu Dominik Ślęzak Beata ZieloskoDecision trees and decision rule systems are widely used in different applications as algorithms for problem solving, as predictors, and as a way for knowledge representation. Reducts play key role in the problem of attribute (feature) selection. The aims of this book are (i) the consideration of the sets of decision trees, rules and reducts; (ii) study of relationships among these objects; (iii) design of algorithms for construction of trees, rules and reducts; and (iv) obtaining bounds on their complexity. Applications for supervised machine learning, discrete optimization, analysis of acyclic programs, fault diagnosis, and pattern recognition are considered also. This is a mixture of research monograph and lecture notes. It contains many unpublished results. However, proofs are carefully selected to be understandable for students. The results considered in this book can be useful for researchers in machine learning, data mining and knowledge discovery, especially for those who are working in rough set theory, test theory and logical analysis of data. The book can be used in the creation of courses for graduate students.
Rough Sets: International Joint Conference, IJCRS 2017, Olsztyn, Poland, July 3–7, 2017, Proceedings, Part I (Lecture Notes in Computer Science #10313)
by Beata Zielosko Dominik Ślęzak Dun Liu Davide Ciucci Piotr Artiemjew Yiyu Yao Lech PolkowskiDecision trees and decision rule systems are widely used in different applications as algorithms for problem solving, as predictors, and as a way for knowledge representation. Reducts play key role in the problem of attribute (feature) selection. The aims of this book are (i) the consideration of the sets of decision trees, rules and reducts; (ii) study of relationships among these objects; (iii) design of algorithms for construction of trees, rules and reducts; and (iv) obtaining bounds on their complexity. Applications for supervised machine learning, discrete optimization, analysis of acyclic programs, fault diagnosis, and pattern recognition are considered also. This is a mixture of research monograph and lecture notes. It contains many unpublished results. However, proofs are carefully selected to be understandable for students. The results considered in this book can be useful for researchers in machine learning, data mining and knowledge discovery, especially for those who are working in rough set theory, test theory and logical analysis of data. The book can be used in the creation of courses for graduate students.
Round Up: A Texas Counting Book
by Carol CraneVarious objects, animals, and people associated with the state of Texas are presented in short rhymes, with added commentary, and used to illustrate counting, multiplying, and adding.
Routing Algorithms in Networks-on-Chip
by Maurizio Palesi Masoud DaneshtalabThis book provides a single-source reference to routing algorithms for Networks-on-Chip (NoCs), as well as in-depth discussions of advanced solutions applied to current and next generation, many core NoC-based Systems-on-Chip (SoCs). After a basic introduction to the NoC design paradigm and architectures, routing algorithms for NoC architectures are presented and discussed at all abstraction levels, from the algorithmic level to actual implementation Coverage emphasizes the role played by the routing algorithm and is organized around key problems affecting current and next generation, many-core SoCs. A selection of routing algorithms is included, specifically designed to address key issues faced by designers in the ultra-deep sub-micron (UDSM) era, including performance improvement, power, energy, and thermal issues, fault tolerance and reliability.
The Routledge Handbook of African Demography
by Clifford O. Odimegwu Yemi AdewoyinThis handbook provides an authoritative and comprehensive overview of African population dynamics, variations, causes and consequences, demonstrating the real-world applications of research in policies and programmes.African demography has come of age. Over 50 years, the discipline has grown exponentially in the number of training and research institutions, specialist experts and academic output, all with an aim of addressing the enormous demographic challenges faced by the continent. The book draws on old and emerging analytical tools to explore the relationships between population dynamics and social, economic, cultural and political environments from African perspectives. Key topics include fertility, sexual behaviours, healthcare, ageing, mortality, migration, displacement, the causes and consequences of demographic changes and teaching and research developments in African demography.The Routledge Handbook of African Demography will be an essential resource for students and researchers of African demography, sociology, development and cultural studies.
Routledge Handbook of Asian Demography
by Zhongwei Zhao Adrian C. HayesHome to close to 60 per cent of the world’s population, Asia is the largest and by far the most populous continent. It is also extremely diverse, physically and culturally. Asian countries and regions have their own distinctive histories, cultural traditions, religious beliefs and political systems, and they have often pursued different routes to development. Asian populations also present a striking array of demographic characteristics and stages of demographic transition. This handbook is the first to provide a comprehensive study of population change across the whole of Asia. Comprising 28 chapters by more than 40 international experts this handbook examines demographic transitions on the continent, their considerable variations, their causes and consequences, and their relationships with a wide range of social, economic, political and cultural processes. Major topics covered include: population studies and sources of demographic data; historical demography; family planning and fertility decline; sex preferences; mortality changes; causes of death; HIV/AIDS; population distribution and migration; urbanization; marriage and family; human capital and labour force; population ageing; demographic dividends; political demography; population and environment; and Asia’s demographic future. This handbook provides an authoritative and comprehensive reference for researchers, policymakers, academics, students and anyone who is interested in population change in Asia and the world.
Routledge Handbook of Family Law and Policy
by John Eekelaar Rob GeorgeChanges in family structures, demographics, social attitudes and economic policies over the last sixty years have had a large impact on family lives and correspondingly on family law. This book provides global perspectives on the policy challenges facing family law and policy round the world. The chapters apply legal, sociological, demographic and social work research to explore the most significant issues that have been commanding the attention of family law policy-makers in recent years. Featuring contributions from a range of renowned global experts, the book draws on multiple jurisdictions and offers comparative analysis across a range of countries. The book addresses a range of issues including: the role of the state in supporting families and protecting the vulnerable children’s rights and parental authority sexual orientation and gender in family law the status of marriage and other forms of adult relationships divorce and separation and their consequences the relationship between civil law and the law of minority groups assisted conception movement of family members between jurisdictions This advanced level reference work will be essential reading for students, researchers and scholars of family law and social policy as well as policy makers in the field.
Routledge Handbook of Family Law and Policy, 2nd edition
by John Eekelaar Rob GeorgeChanges in family structures, demographics, social attitudes and economic policies over the last sixty years have had a large impact on family lives and correspondingly on family law. The second edition of this Handbook draws upon recent developments to provide a comprehensive and up-to-date global perspective on the policy challenges facing family law and policy round the world.The chapters apply legal, sociological, demographic and social work research to explore the most significant issues that have been commanding the attention of family law policy-makers in recent years. Featuring contributions from a range of renowned global experts, the book draws on multiple jurisdictions and offers comparative analysis across a range of countries. The book addresses a range of issues including the role of the state in supporting families and protecting the vulnerable, children’s rights and parental authority, sexual orientation, same-sex unions and gender in family law, the status of marriage and other forms of adult relationships. It also focuses on divorce and separation and their consequences, the relationship between civil law and the law of minority groups, refugees, migrants and movement of family members between jurisdictions along with assisted conception, surrogacy and adoption. This advanced level reference work will be essential reading for students, researchers and scholars of family law and social policy as well as policy makers in the field.
The Routledge Handbook of the Economics of Ageing (Routledge International Handbooks)
by David E. Bloom Alfonso Sousa-Poza Uwe SundeAgeing populations pose some of the foremost global challenges of this century. Drawing on an international pool of scholars, this cutting-edge Handbook surveys the micro, macro and institutional aspects of the economics of ageing. Structured in seven parts, the volume addresses a broad range of themes, including health economics, labour economics, pensions and social security, generational accounting, wealth inequality and regional perspectives. Each chapter combines a succinct overview of the state of current research with a sketch of a promising future research agenda. This Handbook will be an essential resource for advanced students, researchers and policymakers looking at the economics of ageing across the disciplines of economics, demography, public policy, public health and beyond.
Routledge International Handbook of Migration Studies: 2nd edition (Routledge International Handbooks)
by Steven J. Gold Stephanie J. NawynThis revised and expanded second edition of Routledge International Handbook of Migration Studies provides a comprehensive basis for understanding the complexity and patterns of international migration. Despite increased efforts to limit its size and consequences, migration has wide-ranging impacts upon social, environmental, economic, political and cultural life in countries of origin and settlement. Such transformations impact not only those who are migrating, but those who are left behind, as well as those who live in the areas where migrants settle. Featuring forty-six essays written by leading international and multidisciplinary scholars, this new edition showcases evolving research and theorizing around refugees and forced migrants, new migration paths through Central Asia and the Middle East, the condition of statelessness and South to South migration. New chapters also address immigrant labor and entrepreneurship, skilled migration, ethnic succession, contract labor and informal economies. Uniquely among texts in the subject area, the Handbook provides a six-chapter compendium of methodologies for studying international migration and its impacts. Written in a clear and direct style, this Handbook offers a contemporary integrated resource for students and scholars from the perspectives of social science, humanities, journalism and other disciplines.