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Polynomial Optimization, Moments, and Applications (Springer Optimization and Its Applications #206)
by Michal Kočvara Bernard Mourrain Cordian RienerPolynomial optimization is a fascinating field of study that has revolutionized the way we approach nonlinear problems described by polynomial constraints. The applications of this field range from production planning processes to transportation, energy consumption, and resource control.This introductory book explores the latest research developments in polynomial optimization, presenting the results of cutting-edge interdisciplinary work conducted by the European network POEMA. For the past four years, experts from various fields, including algebraists, geometers, computer scientists, and industrial actors, have collaborated in this network to create new methods that go beyond traditional paradigms of mathematical optimization. By exploiting new advances in algebra and convex geometry, these innovative approaches have resulted in significant scientific and technological advancements. This book aims to make these exciting developments accessible to a wider audience by gathering high-quality chapters on these hot topics.Aimed at both aspiring and established researchers, as well as industry professionals, this book will be an invaluable resource for anyone interested in polynomial optimization and its potential for real-world applications.
Polynomial Rings and Affine Algebraic Geometry: PRAAG 2018, Tokyo, Japan, February 12−16 (Springer Proceedings in Mathematics & Statistics #319)
by Gene Freudenburg Shigeru Kuroda Nobuharu OnodaThis proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The topics covered include group actions and linearization, automorphism groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture, classification of curves and surfaces, real forms of complex varieties, and questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.
Polynomials and the mod 2 Steenrod Algebra: Representations of GL (London Mathematical Society Lecture Note Series #442)
by Grant Walker Reginald M. W. WoodThis is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups. Algebraic and combinatorial treatment of Steenrod algebra. Accessible to those without a background in topology. Largely self-contained with detailed proofs.
Polynomials and the mod 2 Steenrod Algebra: The Peterson Hit Problem (London Mathematical Society Lecture Note Series #441)
by Grant Walker Reginald M. W. WoodThis is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Polynomials, Dynamics, and Choice: The Price We Pay for Symmetry
by Scott CrassWorking out solutions to polynomial equations is a mathematical problem that dates from antiquity. Galois developed a theory in which the obstacle to solving a polynomial equation is an associated collection of symmetries. Obtaining a root requires "breaking" that symmetry. When the degree of an equation is at least five, Galois Theory established that there is no formula for the solutions like those found in lower degree cases. However, this negative result doesn't mean that the practice of equation-solving ends. In a recent breakthrough, Doyle and McMullen devised a solution to the fifth-degree equation that uses geometry, algebra, and dynamics to exploit icosahedral symmetry.Polynomials, Dynamics, and Choice: The Price We Pay for Symmetry is organized in two parts, the first of which develops an account of polynomial symmetry that relies on considerations of algebra and geometry. The second explores beyond polynomials to spaces consisting of choices ranging from mundane decisions to evolutionary algorithms that search for optimal outcomes. The two algorithms in Part I provide frameworks that capture structural issues that can arise in deliberative settings. While decision-making has been approached in mathematical terms, the novelty here is in the use of equation-solving algorithms to illuminate such problems.Features Treats the topic—familiar to many—of solving polynomial equations in a way that’s dramatically different from what they saw in school Accessible to a general audience with limited mathematical background Abundant diagrams and graphics.
Popular Lectures on Mathematical Logic
by Hao WangA noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic: set theory, model theory, recursion theory and constructivism, and proof theory.Topics include the place of problems in the development of theories of logic and logic's relation to computer science. Specific attention is given to Gödel's incompleteness theorems, predicate logic and its decision and reduction problems, constructibility and Cantor's continuum hypothesis, proof theory and Hilbert's program, hierarchies and unification, proof of the four-color problem, the Diophantine problem, the tautology problem, and many other subjects. Three helpful Appendixes conclude the text.
Population 10 Billion
by Danny DorlingBefore May 2011 the top demographics experts of the United Nations had suggested that world population would peak at 9.1 billion in 2100, and then fall to 8.5 billion people by 2150. In contrast, the 2011 revision suggested that 9.1 billion would be achieved much earlier, maybe by 2050 or before, and by 2100 there would be 10.1 billion of us. What's more, they implied that global human population might still be slightly rising in our total numbers a century from now. So what shall we do? Are there too many people on the planet? Is this the end of life as we know it?Distinguished geographer Professor Danny Dorling thinks we should not worry so much and that, whatever impending doom may be around the corner, we will deal with it when it comes. In a series of fascinating chapters he charts the rise of the human race from its origins to its end-point of population 10 billion. Thus he shows that while it took until about 1988 to reach 5 billion we reached 6 billion by 2000, 7 billion eleven years later and will reach 8 billion by 2025. By recording how we got here, Dorling is able to show us the key issues that we face in the coming decades: how we will deal with scarcity of resources; how our cities will grow and become more female; why the change that we should really prepare for is the population decline that will occur after 10 billion.Population 10 Billion is a major work by one of the world's leading geographers and will change the way you think about the future. Packed full of counter-intuitive ideas and observations, this book is a tool kit to prepare for the future and to help us ask the right questions
Population 10 Billion
by Professor Danny DorlingBefore May 2011 the top demographics experts of the United Nations had suggested that world population would peak at 9.1 billion in 2100, and then fall to 8.5 billion people by 2150. In contrast, the 2011 revision suggested that 9.1 billion would be achieved much earlier, maybe by 2050 or before, and by 2100 there would be 10.1 billion of us. What's more, they implied that global human population might still be slightly rising in our total numbers a century from now. So what shall we do? Are there too many people on the planet? Is this the end of life as we know it?Distinguished geographer Professor Danny Dorling thinks we should not worry so much and that, whatever impending doom may be around the corner, we will deal with it when it comes. In a series of fascinating chapters he charts the rise of the human race from its origins to its end-point of population 10 billion. Thus he shows that while it took until about 1988 to reach 5 billion we reached 6 billion by 2000, 7 billion eleven years later and will reach 8 billion by 2025. By recording how we got here, Dorling is able to show us the key issues that we face in the coming decades: how we will deal with scarcity of resources; how our cities will grow and become more female; why the change that we should really prepare for is the population decline that will occur after 10 billion.Population 10 Billion is a major work by one of the world's leading geographers and will change the way you think about the future. Packed full of counter-intuitive ideas and observations, this book is a tool kit to prepare for the future and to help us ask the right questions
Population Ageing from a Lifecourse Perspective: Critical and International Approaches (Ageing and the Lifecourse)
by Edited by Kathrin Komp and Stina JohanssonPopulations around the globe are ageing rapidly. This demographic shift affects families, market structures and social provisions. This timely volume, part of the Ageing and the Lifecourse series, argues that the lifecourse perspective helps us understand the causes and effects of population ageing. The lifecourse perspective suggests that individuals’ experiences at an early age can influence their decisions and behaviour at a later age. This much-needed volume combines insights from different disciplines and real-life experiences to describe the theories and practices behind this idea. It therefore caters to the needs of scholars, practitioners and policy makers in a range of areas including sociology and political science.
Population Ageing - A Threat to the Welfare State?: The Case of Sweden
by Tommy BengtssonThis book is the first to take a comprehensive view of the challenges that population ageing present in the near future taking Sweden as the case. Can the increasing number of retirees per worker be stopped by immigration or increasing fertility or will we need to increase pension age instead? Cost for the social-care system is readily increasing; even more is the costs for health care. Can the galloping costs be funded by an increase in taxes or do we need to make reforms, similar to the ones already made in the pension system, which has been used as a model for many other countries. The fact that it is difficult to make health care dependent on personal contributions, as is the case of the pension system, funding of health care is a true test of solidarity across generations. The book ends with a discussion on whether the demographic challenge to the welfare system is also a threat to the welfare state as such.
Population Aging and Age-Friendly Transport in China (Population, Regional Development and Transport)
by Pengjun Zhao Jinxin XieThis book is the first book that investigates aging and its impacts on transport system in China. Using various data, this book covers, but is not limited to, the development of population aging, the changes of travel demand, the features of travel behavior of China’s elderly, progress and prospect of age-friendly transport in China. The book has international academic novelty in three points. Firstly, it discovers the long-term supply-demand relationship between population aging and transport infrastructure development. Secondly, it finds the changes and factors in travel behavior of the elderly people. Thirdly, it discusses the advantages or disadvantages of age-friendly transport policy. The findings in the book provide fresh evidences for the challenges posed by aging to transport and enhance readers’ existing knowledge of the elderly people’s travel behavior and the related determinants. These findings are helpful for planners and politicians to make age-friendly transport policies and useful for investors and enterprises to supply proper transport services to the elderly people. This book is of great interest to scholars and practitioners interested in transport development, transport policy, social transition, sustainable mobility, urban planning, urban governance and is relevant to China and other developing countries.
Population Aging and Housing Diversity in Poland: The Importance of Aging in the Right Place (International Perspectives on Aging #44)
by Greta E. GarnissThis book provides new and original insight on the senior living housing needs in Poland. It focuses on housing needs of the 60-74 age group that are generally more mobile and not in need of services offered in care homes. The book not only shows that seniors prefer to live independently as long as possible, but also touches upon their primary conditions for this, such as properties near goods, services and social networks, in modern buildings that have common amenities that meet their needs as they age. The book also discusses the transformation of economic, social and cultural changes leading to the creation of a new housing options for younger seniors living in many cities in Poland. With the book concluding that there is need for more diverse housing choice for senior living than is currently available, it provides an interesting read for academics, professionals and local, regional and national social service agencies that work with seniors.
Population Aging, Fertility and Social Security
by Akira YakitaThis book provides a comprehensive, theory-based analysis of current issues in population economics. It addresses the most important problems caused by demographic changes using the popular overlapping generations growth model by Samuelson and Diamond. Taking into account families' fertility decisions, it examines not only the demographic changes due to longer life expectancy but also the effects of social security policy on demography and labor supply/individual retirement behaviors. Conducting all analyses in a dynamic general equilibrium setting, the book offers a valuable theoretical reference guide in the field of population economics.
Population and Development Issues
by Yves CharbitOne of the major challenges facing the world today is the interaction between demographic changes and development. Rather than the usual view that the population itself is the main problem, Population and Development Issues argues that it is just one factor among many others, such as poverty, illiteracy, poor health, unemployment, the condition of women and climate change.This book analyzes the relationships between the key demographic variables (fertility, morbidity and mortality, migration, etc.) and major development issues, notably education, employment, health, gender, social and geographical inequalities and climate concerns. Bringing together contributions from specialists across every field, it presents empirical data simply and clearly alongside theoretical reflections.
Population and Health in Developing Countries
by Maryse GaimardThis book provides an overview of the health of developing nations in the early twenty-first century. The basic assumption is that the health of a population is not independent of broader demographic trends, and does follow the health transition model. The coverage is broad, ranging from health transition in developing countries, to the health of women, to an analysis of morbidity. Population health is an essential component of human and social development. As both a means and an end of development, health lies at the heart of underdevelopment, and ranks first on the list of international priorities. The WHO slogan 'Health for all in 2000' reflects the spirit of a more general movement in favor of health promotion throughout the world. But the developing world is far from reaching this aim. The health of populations has improved in developing regions but there are still deep inequalities, and serious problems remain, especially in Sub-Saharan Africa. After reviewing the core concepts of population health, the book examines health transition in developing countries, a process that has resulted in a double burden of diseases. A discussion of mortality in developing countries serves to highlight the high rates of child mortality in these regions. The book devotes a full chapter to women's health, and its chapter-length analysis of morbidity highlights the double burden weighing down developing populations and concludes with an analysis of health systems in developing countries.
Population and Society
by Dudley L. Poston Leon F. BouvierPopulation and Society: An Introduction to Demography is an ideal text for undergraduate, as well as graduate, students taking their first course in demography. It is sociologically oriented, although economics, political science, geography, history, and the other social sciences are also used to inform the materials. Although the emphasis is on demography, the book recognizes that, at the individual level, population change is related to private decisions, especially in relation to fertility, but also to mortality and migration. The text thus considers in some detail the role of individuals in population decision making. At the level of countries, and even the world, changes in population size have an important effect on the environmental and related challenges facing all of the world's inhabitants. Therefore, attention is paid to the broad implications of population growth and change.
Population and Strategies for National Sustainable Development: Population and Strategies for National Sustainable Development (Health and Population Set)
by Gayl D Ness Meghan V GolayFirst Published in 2009. Routledge is an imprint of Taylor & Francis, an informa company.
Population and Sustainable Development in India
by Aalok Ranjan ChaurasiaThis book addresses central issues related to population and sustainable development in India, the second most populous country in the world. Using the latest available source of data in the context of the United Nations 2030 Sustainable Development Agenda, it analyzes the current state of development in India in terms of economic growth, social inclusion, and environmental protection, especially focusing on the role of population. The respective chapters explore various aspects, but mainly focus on promoting greater sustainability in terms of population growth, child survival, and economic growth. As such, the book will be of interest to students, researchers, and policymakers in the fields of population studies, economics, and international development.
Population and the Political Imagination: Census, Register and Citizenship in India
by R.B. BhagatThis book identifies population as a central issue of polity and examines its links to ideas of state and citizenship. It explores the relationship between the state, citizenship and polity by reexamining processes related to census enumeration, population and citizen registers, and the politics of classificatory governmentality. Religion, ethnicity, caste and political class play a key role in determining community identities and the relationship between an individual and the state. Contextualizing the arguments and controversies around the Citizenship (Amendment) Act 2019 (CAA 2019) and the National Register of Citizens (NRC), the book examines the processes of inclusion or exclusion of minorities and migrants as citizens in India. It focusses on the classification of irregular and refugee migration since independence in India, especially in the state of Assam. The book highlights how political imagination, as a theoretical framework, shapes the processes and strategies for enumeration and classification and thereby the idea of citizenship. Underlining the relationship between instruments of government, political mobilization and the resurgence of communal polarization, it also offers suggestions for alternative constructions of citizenship and an inclusive state. This book will be useful for students and researchers of population studies, population geography, migration studies, sociology, political science, social anthropology, law and journalism. It will also be of interest to policy makers, journalists, as well as NGOs and CSOs.
Population and the Social Problem (Routledge Library Editions: Demography #15)
by J. SwinburneOriginally published in 1924 and inevitably a product of the time in which it was published, the author assumes that people exercise their powers of reproduction near to capacity. The book views this pressure on population as a social problem, the fundamental cause of human and social challenges. Solutions such as a tax on children, public education and a laissez faire economic order are all suggested.
Population-Based Survey Experiments
by Diana C. MutzPopulation-based survey experiments have become an invaluable tool for social scientists struggling to generalize laboratory-based results, and for survey researchers besieged by uncertainties about causality. Thanks to technological advances in recent years, experiments can now be administered to random samples of the population to which a theory applies. Yet until now, there was no self-contained resource for social scientists seeking a concise and accessible overview of this methodology, its strengths and weaknesses, and the unique challenges it poses for implementation and analysis.Drawing on examples from across the social sciences, this book covers everything you need to know to plan, implement, and analyze the results of population-based survey experiments. But it is more than just a "how to" manual. This lively book challenges conventional wisdom about internal and external validity, showing why strong causal claims need not come at the expense of external validity, and how it is now possible to execute experiments remotely using large-scale population samples.Designed for social scientists across the disciplines, Population-Based Survey Experiments provides the first complete introduction to this methodology.Offers the most comprehensive treatment of the subjectFeatures a wealth of examples and practical adviceReexamines issues of internal and external validityCan be used in conjunction with downloadable data from ExperimentCentral.org for design and analysis exercises in the classroom
Population Change and Impacts in Asia and the Pacific (New Frontiers in Regional Science: Asian Perspectives #30)
by Jacques Poot Matthew RoskrugeThis volume brings together a range of contributions that provide contemporary regional science perspectives on population change and its socio-economic consequences in the Asia-Pacific region. This region accounts for close to two-thirds of the world’s population and is highly diverse in terms of key demographic indicators such as population size, growth, composition and distribution. The authors provide quantitative assessments, either descriptively or by means of modelling, of important demographic issues affecting this part of the world.The topics addressed include: broad demographic trends across the Asia-Pacific region and its sub-regions; assessment of population decline, urbanization and spatial distribution using cases from China, Colombia, Japan and Australia; migration and economic impacts in Australasia, Chile and Timor Leste; and the impacts of declining or low fertility and population ageing in China, India, Thailand, and across Asia.Given its scope, the book will appeal to all readers seeking to understand population change and impacts across the Asia-Pacific region, with a specific focus on sub-regional differences and dynamics.
Population Change and Public Policy (Applied Demography Series #11)
by Billystrom Jivetti Md. Nazrul HoqueThis book provides a solid empirical portrait based on the complexities of demographic components of population change. It describes recent innovations, trends, challenges and solutions to population change and public policy issues, such as but not limited to immigration, gender discrimination in the labor market, student housing, teen pregnancy programs, smoking and alcohol consumption, and environment and self-rated health. As such it provides an interesting platform for academics, researchers, policy makers, and students to explore experiences and research findings on special topics in applied demography and how those inform the field of population studies and public policy.
Population Change in Europe, the Middle-East and North Africa: Beyond the Demographic Divide (International Population Studies)
by Koenraad Matthijs Karel Neels Christiane Timmerman Jacques HaersCurrent demographic trends raise new questions, challenges and controversies. Comparing demographic trends in Europe and the NAME-region (North Africa and the Middle East), this book demonstrates how population change interacts with changing economic landscapes, social distinctions and political realities. A variety of drivers contribute to demographic change in the various regions and countries considered, such as family policies, economic realities, the impact of educational differentials and the attitudes towards marriage. On the macro-level the new trends are restructuring the age composition of populations and are reshaping the life courses of individuals and families. In turn, the impact demographic forces have on the organisation of labour markets, on fiscal policies, on the care of the elderly, on migration flows and on political changes can be quite radical. The volume provides food for thought for those who are looking for a nuanced perspective on the background and future perspectives of demographic developments in Europe, for a discussion of recent demographic and political realities in the NAME countries, and for those who analyse the effects of contrasting demographic regimes on migration flows to and migration politics in Europe. Chapter 1 of this book is freely available as a downloadable Open Access PDF at http://www.tandfebooks.com/page/openaccess. It has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives 3.0 license.
Population Change in the United States
by Steve H. Murdock Michael E. Cline Mary Zey Deborah Perez P. Wilner JeantyThis new volume maps the complex interplay of demographic and socioeconomic changes in the United States, where rapid aging and ethnic diversification are merely the most salient of the many issues with major long-term implications. Drawing on The United States Census Bureau's post-2010 detailed projections, as well as a wealth of data distilled from authoritative sources, the authors tackle many of the urgent policy questions raised by America's changing population. The book explores the ways economic markets are adapting to an older and more diverse customer base, how the projected demographic change will impact public service demand, the growing economic disparities between asset-rich baby boomers and youth struggling for economic security, and how the projected demographic patterns will change the fiscal, economic, education, health, and housing sectors and alter the social structures and processes impacting American households and the diverse array of America's future population. A thorough survey of major demographic patterns in the USA up to 2050 is followed by an assessment of how these will affect socioeconomic, public service, fiscal, economic, and social structures and mechanisms, down to the size and composition of households. The analysis then considers possible variations of outcome predicated on alternative dynamic patterns between demographics and socioeconomics. Cutting through the politics and communal anxieties with hard, cutting-edge data, this study will be a primary source for all those who must use its contents to guide their decisions.