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Positive Aging and Precarity: Theory, Policy, and Social Reality within a Comparative German Context (International Perspectives on Aging #21)
by Irina Catrinel CrăciunThis book explores positive aging through the lens of precarity, aiming to ground positive aging theories in current social contexts. In recent years, research on aging has been branded by growing disagreements between supporters of the successful aging model and critical gerontologists who highlight the widening inequalities, disadvantages and precarity that characterize old age. This book comes to fill a gap in knowledge by offering an alternative view on positive aging, informed by precarity and its impact on projections concerning aging.The first part of the book places aging in broader theoretical and empirical context, exploring the complex links between views on aging, successful aging theories, policy and social reality. The second part uses results from a qualitative research conducted in Germany to illustrate the dissonance between successful aging ideals and both negative and positive views on aging as well as aging preparation strategies inspired by precarity. Findings from this section provide a solid starting point for comparisons with countries that are both similar and different from Germany in terms of welfare regimes and aging policies. The final part of the book discusses the psychological implications of these findings within and beyond the German case study and outlines potential solutions for practice. This book provides health psychologists, gerontologists, sociologists, social workers, health professionals as well as students and aging individuals themselves with better understanding of the meaning of aging in precarious times and builds confidence about aging well despite precarity.
Positive Definite Matrices (Princeton Series in Applied Mathematics #24)
by Rajendra BhatiaThis book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, quantum information theory, and geometry. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia carefully develops general techniques that have wide applications in the study of such matrices. Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry--all built around the central theme of positive definite matrices. He discusses positive and completely positive linear maps, and presents major theorems with simple and direct proofs. He examines matrix means and their applications, and shows how to use positive definite functions to derive operator inequalities that he and others proved in recent years. He guides the reader through the differential geometry of the manifold of positive definite matrices, and explains recent work on the geometric mean of several matrices. Positive Definite Matrices is an informative and useful reference book for mathematicians and other researchers and practitioners. The numerous exercises and notes at the end of each chapter also make it the ideal textbook for graduate-level courses.
Positive Linear Maps of Operator Algebras
by Erling StørmerThis volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining the properties and structures of positive linear maps of operator algebras into the bounded operators on a Hilbert space, he guides readers through proofs of the Stinespring theorem and its applications to inequalities for positive maps. The text examines the maps' positivity properties, as well as their associated linear functionals together with their density operators. It features special sections on extremal positive maps and Choi matrices. In sum, this is a vital publication that covers a full spectrum of matters relating to positive linear maps, of which a large proportion is relevant and applicable to today's quantum information theory. The latter sections of the book present the material in finite dimensions, while the text as a whole appeals to a wider and more general readership by keeping the mathematics as elementary as possible throughout.
Positive Trigonometric Polynomials and Signal Processing Applications
by Bogdan DumitrescuPositive Trigonometric Polynomials and Signal Processing Applications has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The presentation starts by giving the main results for univariate polynomials, which are later extended and generalized for multivariate polynomials. The applications part is organized as a collection of related problems that use systematically the theoretical results. All the problems are brought to a semidefinite programming form, ready to be solved with algorithms freely available, like those from the library SeDuMi.
Positivity and its Applications: Positivity X, 8-12 July 2019, Pretoria, South Africa (Trends in Mathematics)
by Eder Kikianty Mokhwetha Mabula Miek Messerschmidt Jan Harm van der Walt Marten WortelThis proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and Banach lattices and operators on such spaces, abstract stochastic processes in an ordered setting, the theory and applications of positive semi-groups to partial differential equations, Hilbert geometries, positivity in Banach algebras and, in particular, operator algebras, as well as applications to mathematical economics and financial mathematics. The contributions in this book reflect the variety of topics discussed at the conference. They will be of interest to researchers in functional analysis, operator theory, measure and integration theory, operator algebras, and economics. Positivity X was dedicated to the memory of our late colleague and friend, Coenraad Labuschagne. His untimely death in 2018 came as an enormous shock to the Positivity community. He was a prominent figure in the Positivity community and was at the forefront of the recent development of abstract stochastic processes in a vector lattice context.
Positivity and Noncommutative Analysis: Festschrift in Honour of Ben de Pagter on the Occasion of his 65th Birthday (Trends in Mathematics)
by Jan Van Neerven Gerard Buskes Marcel De Jeu Peter Dodds Anton Schep Fedor Sukochev Anthony WicksteadCapturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday. It will be of interest to researchers in positivity, noncommutative analysis, and related fields. Contributions by Shavkat Ayupov, Amine Ben Amor, Karim Boulabiar, Qingying Bu, Gerard Buskes, Martijn Caspers, Jurie Conradie, Garth Dales, Marcel de Jeu, Peter Dodds, Theresa Dodds, Julio Flores, Jochen Glück, Jacobus Grobler, Wolter Groenevelt, Markus Haase, Klaas Pieter Hart, Francisco Hernández, Jamel Jaber, Rien Kaashoek, Turabay Kalandarov, Anke Kalauch, Arkady Kitover, Erik Koelink, Karimbergen Kudaybergenov, Louis Labuschagne, Yongjin Li, Nick Lindemulder, Emiel Lorist, Qi Lü, Miek Messerschmidt, Susumu Okada, Mehmet Orhon, Denis Potapov, Werner Ricker, Stephan Roberts, Pablo Román, Anton Schep, Claud Steyn, Fedor Sukochev, James Sweeney, Guido Sweers, Pedro Tradacete, Jan Harm van der Walt, Onno van Gaans, Jan van Neerven, Arnoud van Rooij, Freek van Schagen, Dominic Vella, Mark Veraar, Anthony Wickstead, Marten Wortel, Ivan Yaroslavtsev, and Dmitriy Zanin.
Positivity in Arakelov Geometry over Adelic Curves: Hilbert-Samuel Formula and Equidistribution Theorem (Progress in Mathematics #355)
by Huayi Chen Atsushi MoriwakiThis monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution theorem in the context of adelic curves. Connections with several classical topics in Arakelov geometry and Diophantine geometry are highlighted, such as the arithmetic Hilbert-Samuel formula, positivity of line bundles, equidistribution of small subvarieties, and theorems resembling the Bogomolov conjecture. Detailed proofs and explanations are provided to ensure the text is accessible to both graduate students and experienced researchers.
Possibility Theory for the Design of Information Fusion Systems (Information Fusion and Data Science)
by Basel Solaiman Éloi BosséThis practical guidebook describes the basic concepts, the mathematical developments, and the engineering methodologies for exploiting possibility theory for the computer-based design of an information fusion system where the goal is decision support for industries in smart ICT (information and communications technologies). This exploitation of possibility theory improves upon probability theory, complements Dempster-Shafer theory, and fills an important gap in this era of Big Data and Internet of Things.The book discusses fundamental possibilistic concepts: distribution, necessity measure, possibility measure, joint distribution, conditioning, distances, similarity measures, possibilistic decisions, fuzzy sets, fuzzy measures and integrals, and finally, the interrelated theories of uncertainty..uncertainty. These topics form an essential tour of the mathematical tools needed for the latter chapters of the book. These chapters present applications related to decision-making and pattern recognition schemes, and finally, a concluding chapter on the use of possibility theory in the overall challenging design of an information fusion system. This book will appeal to researchers and professionals in the field of information fusion and analytics, information and knowledge processing, smart ICT, and decision support systems.
The Possible and the Actual: Readings in the Metaphysics of Modality
by Michael J. LouxThis well-chosen collection of fifteen important essays in the fields of philosophical logic and metaphysics addresses questions relating to the nature and status of possible worlds.
Post-cosmopolitan Cities
by Caroline Humphrey Vera SkvirskajaExamining the way people imagine and interact in their cities, this book explores the post-cosmopolitan city. The contributors consider the effects of migration, national, and religious revivals (with their new aesthetic sensibilities), the dispositions of marginalized economic actors, and globalized tourism on urban sociality. The case studies here share the situation of having been incorporated in previous political regimes (imperial, colonial, socialist) that one way or another created their own kind of cosmopolitanism, and now these cities are experiencing the aftermath of these regimes while being exposed to new national politics and migratory flows of people.
Post-Katrina Recovery of the Housing Market Along the Mississippi Gulf Coast
by Kevin F. Mccarthy Mark HansonIn summer 2006, the Commission on Recovery, Rebuilding, and Renewal asked the RAND Gulf States Policy Institute to describe the state of the pre-Hurricane Katrina housing markets in Mississippi's three coastal counties, to estimate the damage the storm did to their housing markets, to describe the status of the recovery effort, and to identify problems that might inhibit it. This report publishes the findings.
Post-Optimal Analysis in Linear Semi-Infinite Optimization
by Miguel A. Goberna Marco A. LópezPost-Optimal Analysis in Linear Semi-Infinite Optimization examines the following topics in regards to linear semi-infinite optimization: modeling uncertainty, qualitative stability analysis, quantitative stability analysis and sensitivity analysis. Linear semi-infinite optimization (LSIO) deals with linear optimization problems where the dimension of the decision space or the number of constraints is infinite. The authors compare the post-optimal analysis with alternative approaches to uncertain LSIO problems and provide readers with criteria to choose the best way to model a given uncertain LSIO problem depending on the nature and quality of the data along with the available software. This work also contains open problems which readers will find intriguing a challenging. Post-Optimal Analysis in Linear Semi-Infinite Optimization is aimed toward researchers, graduate and post-graduate students of mathematics interested in optimization, parametric optimization and related topics.
Post-Shrinkage Strategies in Statistical and Machine Learning for High Dimensional Data
by Syed Ejaz Ahmed Feryaal Ahmed Bahadir YüzbaşıThis book presents some post-estimation and predictions strategies for the host of useful statistical models with applications in data science. It combines statistical learning and machine learning techniques in a unique and optimal way. It is well-known that machine learning methods are subject to many issues relating to bias, and consequently the mean squared error and prediction error may explode. For this reason, we suggest shrinkage strategies to control the bias by combining a submodel selected by a penalized method with a model with many features. Further, the suggested shrinkage methodology can be successfully implemented for high dimensional data analysis. Many researchers in statistics and medical sciences work with big data. They need to analyse this data through statistical modelling. Estimating the model parameters accurately is an important part of the data analysis. This book may be a repository for developing improve estimation strategies for statisticians. This book will help researchers and practitioners for their teaching and advanced research, and is an excellent textbook for advanced undergraduate and graduate courses involving shrinkage, statistical, and machine learning. The book succinctly reveals the bias inherited in machine learning method and successfully provides tools, tricks and tips to deal with the bias issue. Expertly sheds light on the fundamental reasoning for model selection and post estimation using shrinkage and related strategies. This presentation is fundamental, because shrinkage and other methods appropriate for model selection and estimation problems and there is a growing interest in this area to fill the gap between competitive strategies. Application of these strategies to real life data set from many walks of life. Analytical results are fully corroborated by numerical work and numerous worked examples are included in each chapter with numerous graphs for data visualization. The presentation and style of the book clearly makes it accessible to a broad audience. It offers rich, concise expositions of each strategy and clearly describes how to use each estimation strategy for the problem at hand. This book emphasizes that statistics/statisticians can play a dominant role in solving Big Data problems, and will put them on the precipice of scientific discovery. The book contributes novel methodologies for HDDA and will open a door for continued research in this hot area. The practical impact of the proposed work stems from wide applications. The developed computational packages will aid in analyzing a broad range of applications in many walks of life.
The Postcolonial Age of Migration
by Ranabir SamaddarThis book critically examines the question of migration that appears at the intersection of global neo-liberal transformation, postcolonial politics, and economy. It analyses the specific ways in which colonial relations are produced and reproduced in global migratory flows and their consequences for labour, human rights, and social justice. The postcolonial age of migration not only indicates a geopolitical and geo-economic division of the globe between countries of the North and those of the South marked by massive and mixed population flows from the latter to the former, but also the production of these relations within and among the countries of the North. The book discusses issues such as transborder flows among countries of the South; migratory movements of the internally displaced; growing statelessness leading to forced migration; border violence; refugees of partitions; customary and local practices of care and protection; population policies and migration management (both emigration and immigration); the protracted nature of displacement; labour flows and immigrant labour; and the relationships between globalisation, nationalism, citizenship, and migration in postcolonial regions. It also traces colonial and postcolonial histories of migration and justice to bear on the present understanding of local experiences of migration as well as global social transformations while highlighting the limits of the fundamental tenets of humanitarianism (protection, assistance, security, responsibility), which impact the political and economic rights of vast sections of moving populations. Topical and an important intervention in contemporary global migration and refugee studies, the book offers new sources, interpretations, and analyses in understanding postcolonial migration. It will be useful to scholars and researchers of migration studies, refugee studies, border studies, political studies, political sociology, international relations, human rights and law, human geography, international politics, and political economy. It will also interest policymakers, legal practitioners, nongovernmental organisations, and activists.
Potential Game Theory
by Quang Duy Lã Yong Huat Chew Boon-Hee SoongThis book offers a thorough examination of potential game theory and its applications in radio resource management for wireless communications systems and networking. The book addresses two major research goals: how to identify a given game as a potential game, and how to design the utility functions and the potential functions with certain special properties in order to formulate a potential game. After proposing a unifying mathematical framework for the identification of potential games, the text surveys existing applications of this technique within wireless communications and networking problems found in OFDMA 3G/4G/WiFi networks, as well as next-generation systems such as cognitive radios and dynamic spectrum access networks. Professionals interested in understanding the theoretical aspect of this specialized field will find Potential Game Theory a valuable resource, as will advanced-level engineering students. It paves the way for extensive and rigorous research exploration on a topic whose capacity for practical applications is vast but not yet fully exploited.
Potential Method in Mathematical Theories of Multi-Porosity Media (Interdisciplinary Applied Mathematics #51)
by Merab SvanadzeThis monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green’s formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models.Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.
The Potential of Fields in Einstein's Theory of Gravitation
by Zafar AhsanThis book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic space–time by translating all the tensorial relations concerning the Lanczos potential into the language of tetrad formalisms and using the Newman–Penrose and Geroch–Held–Penrose formalisms. In addition, the book obtains the Lanczos potential for perfect fluid space–time, and applies the results to cosmological models of the universe. In closing, it highlights other methods, apart from tetrad formalisms, for finding the Lanczos potential, as well as further applications of the Newman–Penrose formalism. Given its scope, the book will be of interest to pure mathematicians, theoretical physicists and cosmologists, and will provide common ground for communication among these scientific communities.
Potential Theory
by Lester L. HelmsPotential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops methods for constructing solutions of Laplace's equation on a region with prescribed values on the boundary of the region. The latter half of the book addresses more advanced material aimed at those with the background of a senior undergraduate or beginning graduate course in real analysis. Starting with solutions of the Dirichlet problem subject to mixed boundary conditions on the simplest of regions, methods of morphing such solutions onto solutions of Poisson's equation on more general regions are developed using diffeomorphisms and the Perron-Wiener-Brelot method, culminating in application to Brownian motion. In this new edition, many exercises have been added to reconnect the subject matter to the physical sciences. This book will undoubtedly be useful to graduate students and researchers in mathematics, physics and engineering.
Potential Theory on Sierpiński Carpets: With Applications to Uniformization (Lecture Notes in Mathematics #2268)
by Dimitrios NtalampekosThis self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpiński carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs.
Poverty and Quality of Life in the Digital Era: Interdisciplinary Discussions and Solutions (SpringerBriefs in Well-Being and Quality of Life Research)
by Nikolaos E. MyridisThis book proposes new solutions to the problem of poverty, and begins with providing analyses. It bases most of the analyses and solutions in the context of the digital era. The book also follows, in addition to a scientific distribution, a spatial-geographical one: analyses of countries of the European Union as well as South Africa, while it referring to two main variables, television and art, as agents of poverty alleviation. The book places particular focus on how poverty is understood in the framework of Industry 4.0. It introduces a new expanded Multidimensional Poverty Index with more than 20 dimensions; moreover, it provides a mathematically based solution for the disposal of perishable food. Finally, it does not disregard the crucial aspect of the issue of poverty: that of education planning. This book is of interest to specialists in poverty research, from students to professionals and from professors to activists, without excluding engineers.
Poverty and Shared Prosperity 2018: Piecing Together the Poverty Puzzle (Poverty and Shared Prosperity)
by World BankThe World Bank Group has two overarching goals: End extreme poverty by 2030 and promote shared prosperity by boosting the incomes of the bottom 40 percent of the population in each economy. As this year’s Poverty and Shared Prosperity report documents, the world continues to make progress toward these goals. In 2015, approximately one-tenth of the world’s population lived in extreme poverty, and the incomes of the bottom 40 percent rose in 77 percent of economies studied. But success cannot be taken for granted. Poverty remains high in Sub- Saharan Africa, as well as in fragile and conflict-affected states. At the same time, most of the world’s poor now live in middle-income countries, which tend to have higher national poverty lines. This year’s report tracks poverty comparisons at two higher poverty thresholds—$3.20 and $5.50 per day—which are typical of standards in lower- and upper-middle-income countries. In addition, the report introduces a societal poverty line based on each economy’s median income or consumption. Poverty and Shared Prosperity 2018: Piecing Together the Poverty Puzzle also recognizes that poverty is not only about income and consumption—and it introduces a multidimensional poverty measure that adds other factors, such as access to education, electricity, drinking water, and sanitation. It also explores how inequality within households could affect the global profile of the poor. All these additional pieces enrich our understanding of the poverty puzzle, bringing us closer to solving it. For more information, please visit worldbank.org/PSP
Poverty and Social Exclusion: New Methods of Analysis (Routledge Advances in Social Economics #3)
by Gianni Betti Achille LemmiPoverty and inequality remain at the top of the global economic agenda, and the methodology of measuring poverty continues to be a key area of research. This new book, from a leading international group of scholars, offers an up to date and innovative survey of new methods for estimating poverty at the local level, as well as the most recent multidimensional methods of the dynamics of poverty. It is argued here that measures of poverty and inequality are most useful to policy-makers and researchers when they are finely disaggregated into small geographic units. Poverty and Social Exclusion: New Methods of Analysis is the first attempt to compile the most recent research results on local estimates of multidimensional deprivation. The methods offered here take both traditional and multidimensional approaches, with a focus on using the methodology for the construction of time-related measures of deprivation at the individual and aggregated levels. In analysis of persistence over time, the book also explores whether the level of deprivation is defined in terms of relative inequality in society, or in relation to some supposedly absolute standard. This book is of particular importance as the continuing international economic and financial crisis has led to the impoverishment of segments of population as a result of unemployment, bankruptcy, and difficulties in obtaining credit. The volume will therefore be of interest to all those working on economic, econometric and statistical methods and empirical analyses in the areas of poverty, social exclusion and income inequality.
Power Analysis of Trials with Multilevel Data (Chapman & Hall/CRC Interdisciplinary Statistics)
by Mirjam Moerbeek Steven TeerenstraPower Analysis of Trials with Multilevel Data is a valuable reference for anyone who wants to perform power calculations on trials with hierarchical data. It provides a thorough overview of power analysis, familiarizing you with terminology and notation, outlining the key concepts of statistical power and power analysis, and covering all common hierarchical designs.
Power and Responsibility: Interdisciplinary Perspectives for the 21st Century in Honor of Manfred J. Holler
by Martin A. Leroch Florian RuppWritten by leading scholars from various disciplines, this book presents current research on topics such as public choice, game theory, and political economy. It features contributions on fundamental, methodological, and empirical issues around the concepts of power and responsibility that strive to bridge the gap between different disciplinary approaches. The contributions fall into roughly four sub-disciplines: voting and voting power, public economics and politics, economics and philosophy, as well as labor economics.On the occasion of his 75th birthday, this book is written in honor of Manfred J. Holler, an economist by training and profession whose work as a guiding light has helped advance our understanding of the interdisciplinary connections of concepts of power and responsibility. He has written many articles and books on game theory, and worked extensively on questions of labor economics, politics, and philosophy.
Power-Based Study of Boundary Layer Ingestion for Aircraft Application (SpringerBriefs in Applied Sciences and Technology)
by Peijian LvThis book presents research on Boundary Layer Ingestion (BLI). BLI is an aircraft-engine integration technique that aims at integrating the aircraft and the propulsion system such that the overall aircraft fuel consumption can be reduced. In this research, theoretical analysis suggests that the minimization of total power consumption should be used as a design criterion for aircraft utilizing BLI rather than focusing on the minimization of drag. Numerical simulations are performed, and the simulation results are processed using the PBM to support the theoretical analysis. Furthermore, an experimental study is carried out with a focus on the power conversion processes involved for a propulsor operating in the wake. Stereoscopic PIV is employed in order to visualize the flow and understand the physics. The so-called Power-based Method is used to quantify the power conversion mechanisms. The results prove that the dominant mechanism responsible for the efficiency enhancement is due to the utilization of body wake energy by the wake ingesting propeller. In short, the importance of wake energy flow rate in understanding the BLI phenomenon is highlighted. This book will be useful for researchers in the field of aircraft propulsion, aircraft aerodynamics, and airframe propulsion integration.