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Lines of Inquiry in Mathematical Modelling Research in Education (ICME-13 Monographs)
by Gloria Ann Stillman Jill P. BrownThis open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the “balancing act” between developing students’ modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators
Linguistic and Cultural Influences on Learning Mathematics (Psychology of Education and Instruction Series)
by Jose P. Mestre Rodney R. CockingThe combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.
Linux Yourself: Concept and Programming
by Sunil K. SinghNumerous people still believe that learning and acquiring expertise in Linux is not easy, that only a professional can understand how a Linux system works. Nowadays, Linux has gained much popularity both at home and at the workplace. Linux Yourself: Concept and Programming aims to help and guide people of all ages by offering a deep insight into the concept of Linux, its usage, programming, administration, and several other connected topics in an easy approach. This book can also be used as a textbook for undergraduate/postgraduate engineering students and others who have a passion to gain expertise in the field of computer science/information technology as a Linux developer or administrator. The word "Yourself" in the title refers to the fact that the content of this book is designed to give a good foundation to understand the Linux concept and to guide yourself as a good Linux professional in various platforms. There are no prerequisites to understand the contents from this book, and a person with basic knowledge of C programming language will be able to grasp the concept with ease. With this mindset, all the topics are presented in such a way that it should be simple, clear, and straightforward with many examples and figures. Linux is distinguished by its own power and flexibility, along with open-source accessibility and community as compared to other operating systems, such as Windows and macOS. It is the author’s sincere view that readers of all levels will find this book worthwhile and will be able to learn or sharpen their skills. KEY FEATURES Provides a deep conceptual learning and expertise in programming skill for any user about Linux, UNIX, and their features. Elaborates GUI and CUI including Linux commands, various shells, and the vi editor Details file management and file systems to understand Linux system architecture easily Promotes hands-on practices of regular expressions and advanced filters, such as sed and awk through many helpful examples Describes an insight view of shell scripting, process, thread, system calls, signal, inter-process communication, X Window System, and many more aspects to understand the system programming in the Linux environment Gives a detailed description of Linux administration by elaborating LILO, GRUB, RPM-based package, and program installation and compilation that can be very helpful in managing the Linux system in a very efficient way Reports some famous Linux distributions to understand the similarity among all popular available Linux and other features as case studies
Linux with Operating System Concepts
by Richard FoxA True Textbook for an Introductory Course, System Administration Course, or a Combination Course Linux with Operating System Concepts merges conceptual operating system (OS) and Unix/Linux topics into one cohesive textbook for undergraduate students. The book can be used for a one- or two-semester course on Linux or Unix. It is complete with revie
Linux with Operating System Concepts
by Richard FoxA True Textbook for an Introductory Course, System Administration Course, or a Combination Course Linux with Operating System Concepts, Second Edition merges conceptual operating system (OS) and Unix/Linux topics into one cohesive textbook for undergraduate students. The book can be used for a one- or two-semester course on Linux or Unix. It is complete with review sections, problems, definitions, concepts and relevant introductory material, such as binary and Boolean logic, OS kernels and the role of the CPU and memory hierarchy. Details for Introductory and Advanced Users The book covers Linux from both the user and system administrator positions. From a user perspective, it emphasizes command-line interaction. From a system administrator perspective, the text reinforces shell scripting with examples of administration scripts that support the automation of administrator tasks. Thorough Coverage of Concepts and Linux Commands The author incorporates OS concepts not found in most Linux/Unix textbooks, including kernels, file systems, storage devices, virtual memory and process management. He also introduces computer science topics, such as computer networks and TCP/IP, binary numbers and Boolean logic, encryption and the GNU’s C compiler. In addition, the text discusses disaster recovery planning, booting and Internet servers. New in this Edition The book has been updated to systemd Linux and the newer services like Cockpit, NetworkManager, firewalld and journald. This edition explores Linux beyond CentOS/Red Hat by adding detail on Debian distributions. Content across most topics has been updated and improved.
Linux: The Textbook, Second Edition
by Syed Mansoor Sarwar Robert M KoretskyLinux: The Textbook, Second Edition provides comprehensive coverage of the contemporary use of the Linux operating system for every level of student or practitioner, from beginners to advanced users. The text clearly illustrates system-specific commands and features using Debian-family Debian, Ubuntu, and Linux Mint, and RHEL-family CentOS, and stresses universal commands and features that are critical to all Linux distributions. The second edition of the book includes extensive updates and new chapters on system administration for desktop, stand-alone PCs, and server-class computers; API for system programming, including thread programming with pthreads; virtualization methodologies; and an extensive tutorial on systemd service management. Brand new online content on the CRC Press website includes an instructor’s workbook, test bank, and In-Chapter exercise solutions, as well as full downloadable chapters on Python Version 3.5 programming, ZFS, TC shell programming, advanced system programming, and more. An author-hosted GitHub website also features updates, further references, and errata. Features New or updated coverage of file system, sorting, regular expressions, directory and file searching, file compression and encryption, shell scripting, system programming, client-server–based network programming, thread programming with pthreads, and system administration Extensive in-text pedagogy, including chapter objectives, student projects, and basic and advanced student exercises for every chapter Expansive electronic downloads offer advanced content on Python, ZFS, TC shell scripting, advanced system programming, internetworking with Linux TCP/IP, and many more topics, all featured on the CRC Press website Downloadable test bank, work book, and solutions available for instructors on the CRC Press website Author-maintained GitHub repository provides other resources, such as live links to further references, updates, and errata
Liouville-Riemann-Roch Theorems on Abelian Coverings (Lecture Notes in Mathematics #2245)
by Minh Kha Peter KuchmentThis book is devoted to computing the index of elliptic PDEs on non-compact Riemannian manifolds in the presence of local singularities and zeros, as well as polynomial growth at infinity. The classical Riemann–Roch theorem and its generalizations to elliptic equations on bounded domains and compact manifolds, due to Maz’ya, Plameneskii, Nadirashvilli, Gromov and Shubin, account for the contribution to the index due to a divisor of zeros and singularities. On the other hand, the Liouville theorems of Avellaneda, Lin, Li, Moser, Struwe, Kuchment and Pinchover provide the index of periodic elliptic equations on abelian coverings of compact manifolds with polynomial growth at infinity, i.e. in the presence of a "divisor" at infinity.A natural question is whether one can combine the Riemann–Roch and Liouville type results. This monograph shows that this can indeed be done, however the answers are more intricate than one might initially expect. Namely, the interaction between the finite divisor and the point at infinity is non-trivial.The text is targeted towards researchers in PDEs, geometric analysis, and mathematical physics.
Lipschitz Functions (Lecture Notes in Mathematics #2241)
by Ştefan Cobzaş Radu Miculescu Adriana NicolaeThe aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces.The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.
Liquid Assets
by Jill BobergMost writings linking demographic trends to water availability often look only at population-growth effects, treating water supplies as static and population as increasing, inexorably leading to a water-availability crisis. This report's more holistic view of the interaction between demographics and water resources considers more demographic and local water-availability variables. It focuses on conditions in developing countries, where these factors intersect with the fewest socioeconomic resources to mediate.
Literary Heterogenesis: Diagrammatic Dynamics. The Interplay Between the Virtual and the Actual (Lecture Notes in Morphogenesis)
by Noëlle BattThis book advances a new interdisciplinary approach that engages with the concepts of science and literature through the mediation of philosophy (with a focus on the ideas of Gilbert Simondon and Gilles Deleuze). It investigates in innovative ways the multifaceted dimensions of creation, of genesis, considered here in artistic and mathematical terms as “heterogenesis”. The dialogic interaction among the three domains generates a renewed analysis of poems selected in the work of particularly inventive poets, both French and American—Emily Dickinson, e.e. cummings and Francis Ponge—as well as the artwork of Pierre Soulages, Anna-Eva Bergman and Cy Twombly. Literary Heterogenesis. Diagrammatic Dynamics. The Interplay of the Virtual and the Actual will interest specialists of mathematics, physics, literary theory and criticism, philosophy, and epistemology. It will also attract any curious mind drawn to the bridging of disciplines and the concepts of the two cultures.
Literature After Euclid: The Geometric Imagination in the Long Scottish Enlightenment
by Matthew WickmanLiterature After Euclid tells the story of the creative adaptation of geometry in Scotland during and after the long eighteenth century. It argues that diverse attempts in literature and philosophy to explain or even emulate the geometric achievements of Isaac Newton and others resulted in innovations that modify our understanding of descriptive and bardic poetry, the aesthetics of the picturesque, and the historical novel. Matthew Wickman's analyses of these innovations in the work of Walter Scott, Robert Burns, James Thomson, David Hume, Thomas Reid, and other literati change how we perceive the Scottish Enlightenment and the later, modernist ethos that purportedly relegated the "classical" Enlightenment to the dustbin of history. Indeed, the Scottish Enlightenment's geometric imagination changes how we see literary history itself.
Liutex and Third Generation of Vortex Definition and Identification: An Invited Workshop from Chaos 2020
by Chaoqun Liu Yiqian WangThis book collects papers presented in the Invited Workshop, “Liutex and Third Generation of Vortex Definition and Identification for Turbulence,” from CHAOS2020, June 9-12, 2020, which was held online as a virtual conference. Liutex is a new physical quantity introduced by Prof. Chaoqun Liu of the University of Texas at Arlington. It is a vector and could give a unique and accurate mathematical definition for fluid rotation or vortex. The papers in this volume include some Liutex theories and many applications in hydrodynamics, aerodynamics and thermal dynamics including turbine machinery. As vortex exists everywhere in the universe, a mathematical definition of vortex or Liutex will play a critical role in scientific research. There is almost no place without vortex in fluid dynamics. As a projection, the Liutex theory will play an important role on the investigations of the vortex dynamics in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, etc. and to the researches of the generation, sustenance, modelling and controlling of turbulence.
Live Long and Prosper
by World BankAging is a challenge which countries in East Asia and Pacific (EAP) regions are grappling with or will soon confront. It raises many questions for policymakers ranging from potential macroeconomic impacts, to fiscal challenges of supporting pension, health and long-term care systems, and labor market implications as countries seek to promote productive aging. The urgency of the aging challenge varies across the region, but it will confront all EAP countries in time and early preparation is essential to avoid the missteps of other regions. Live Long and Prosper discusses the societal and public policy challenges and reform options for EAP countries as they address aging. It aims to strike a balance between aging optimists and pessimists. On the one hand, the impacts of aging on growth, labor markets and public spending are not the unavoidable catastrophe often feared. However, minimizing the downside risks of aging and ensuring healthy and productive aging will require proactive public policy, political leadership, and new mindsets across society. The report reviews the evidence on demographic transition in EAP and its potential macroeconomic impact. It addresses the current policy environment including pensions and social security, health, and long-term care and labor markets to assess the risks of 'business as usual'. It also suggests policy directions to promote healthy and productive aging in EAP, and emphasizes that aging is not just about older people, but requires policy and behavioral change across the life cycle.
Lives in Motion: The Transnational Making of Population between Morocco and Italy (Palgrave Studies in Mediating Kinship, Representation, and Difference)
by Francesca DecimoThis book focuses on global mobility and the worldwide articulation of family life, understood as dimensions of social change that come off from the private sphere of individuals and reverberate to the point of transforming the composition of national populations. Delving into the interrelation of migration and life courses, the volume investigates how individual mobility paths are intertwined with family matters and the way population movements are embedded in a myriad of intimate and household affairs. The inquiry is based on qualitative data and specifically focused on the migratory flow between Morocco and Italy through an exploration that encompasses a range of interrelated issues such as: transnational marriages, intimacy, love, daily domestic life, the formation of second generations and citizenship. Providing an exhaustive analysis of such phenomena, the book portrays cultural diversity in a nuanced manner and, in so doing, contributes to de-politicize widely stigmatized traits of migrant families.
Living Culturally Responsive Mathematics Education With/in Indigenous Communities
by Cynthia Nicol Jo-Ann Archibald Q'Um Q'Um Xii Florence Glanfield A. J. Sandy DawsonLiving Culturally Responsive Mathematics Education with/in Indigenous Communities explores challenges and possibilities across international contexts, involving Indigenous and non-Indigenous scholars, teachers and Elders responding to calls for improved education for all Indigenous students. Authors from Australia, New Zealand, United States, Micronesia, and Canada explore the nature of culturally responsive mathematics education. Chapters highlight the importance of relationships with communities and the land, each engaging critically with ideas of culturally responsive education, exploring what this stance might mean and how it is lived in local contexts within global conversations. Education researchers and teacher educators will find a living pathway where scholars, educators, youth and community members critically take-up culturally responsive teachings and the possibilities and challenges that arise along the journey.
Living Longer and Healthier at Older Ages: A Longitudinal Analysis of Chinese Oldest Old’s Health and Its Determinants (Advances in Studies of Aging and Health #3)
by Li ZhangThis book analyzes data from eight waves (1998, 2000, 2002, 2005, 2008, 2011-12, 2014 and 2018) of the Chinese Longitudinal Healthy Longevity Surveys (CLHLS) to explore how health status of the Chinese oldest old has changed over time and across birth cohorts. It also intends to investigate how period and birth cohorts have played a role in the associations between Chinese oldest old’s health and a variety of demographic, socioeconomic, and lifestyle factors. The book applies the age-period-cohort (APC) approach and constructs cross-classified random-effects models (CCREMs) to carry out the analyses. The oldest old’s health is measured by self-rated health (SRH), chronic diseases, cognitive function and subjective wellbeing which is indicated by positive and negative feeling scores. The results show that Chinese oldest old’s health status has changed over time and across birth cohorts. Significant period and cohort effects are shown when linking Chinese oldest old’s health to various demographic, socioeconomic and health lifestyle covariates. In general, period effects surpass the cohort effects. Particularly, the oldest old’s subjective wellbeing is more likely to be influenced by period than cohort effects. Period changes caused by social events, such as economic hardship and natural disasters, have left strong imprints on Chinese oldest old’s mental than physical health status. Based on these findings, the book highlights some important policy implications and points out future research directions to improve the current study. It provides an interesting read for researchers in gerontology and public health studies. It is also of interest to general audience, including practitioners in health care and policy makers who are interested in old age care and healthy aging policies.
Living Standards Analytics
by Jonathan Haughton Dominique HaughtonThe purpose of this book is to introduce, discuss, illustrate, and evaluate the colorful palette of analytical techniques that can be applied to the analysis of household survey data, with an emphasis on the innovations of the past decade or so. Most of the chapters begin by introducing a methodological or policy problem, to motivate the subsequent discussion of relevant methods. They then summarize the relevant techniques, and draw on examples - many of them from the authors' own work - and aim to convey a sense of the potential, but also the strengths and weaknesses, of those techniques. This book is meant for graduate students in statistics, economics, policy analysis, and social sciences, especially, but certainly not exclusively, those interested in the challenges of economic development in the Third World. Additionally, the book will be useful to academics and practitioners who work closely with survey data. This is a book that can serve as a reference work, to be taken down from the shelf and perused from time to time.
Living on Thin Ice: The Gwich'in Natives of Alaska
by Steven C. DineroThe Gwich'in Natives of Arctic Village, Alaska, have experienced intense social and economic changes for more than a century. In the late 20th century, new transportation and communication technologies introduced radically new value systems; while some of these changes may be seen as socially beneficial, others suggest a weakening of what was once a strong and vibrant Native community. Using quantitative and qualitative data gathered since the turn of the millennium, this volume offers an interdisciplinary evaluation of the developments that have occurred in the community over the past several decades.
Lobbying, Political Uncertainty and Policy Outcomes
by Sebastian KoehlerThis book analyses interest group communication strategies in parliamentary political systems, and considers how political uncertainty, which emerges from the political process, shapes interest group communication strategies. It develops a formal model of lobbying in a bicameral legislature with strong party discipline, and discusses why interest groups choose public or private communication channels to influence political bargaining. The book tests its hypothesis in different policy contexts, including lobbying on major legislation in the field of labour and social policy.
Local Cohomology
by M. P. Brodmann R. Y. SharpThis second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum–Hartshorne Vanishing Theorem, Grothendieck's Finiteness Theorem and Faltings' Annihilator Theorem, local duality and canonical modules, the Fulton–Hansen Connectedness Theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. The book is designed for graduate students who have some experience of basic commutative algebra and homological algebra and also experts in commutative algebra and algebraic geometry. Over 300 exercises are interspersed among the text; these range in difficulty from routine to challenging, and hints are provided for some of the more difficult ones.
Local Cohomology and Its Applications (Lecture Notes in Pure and Applied Mathematics)
by Gennady LyubeznikThis volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics.
Local Features in Natural Images via Singularity Theory
by James Damon Peter Giblin Gareth HaslingerThis monograph considers a basic problem in the computer analysis of natural images, which are images of scenes involving multiple objects that are obtained by a camera lens or a viewer's eye. The goal is to detect geometric features of objects in the image and to separate regions of the objects with distinct visual properties. When the scene is illuminated by a single principal light source, we further include the visual clues resulting from the interaction of the geometric features of objects, the shade/shadow regions on the objects, and the "apparent contours". We do so by a mathematical analysis using a repertoire of methods in singularity theory. This is applied for generic light directions of both the "stable configurations" for these interactions, whose features remain unchanged under small viewer movement, and the generic changes which occur under changes of view directions. These may then be used to differentiate between objects and determine their shapes and positions.
Local Fiscal Effects of Illegal Immigration: Report of a Workshop
by Committee on National StatisticsInformation on the Local Fiscal Effects of Illegal Immigration
Local Homotopy Theory
by John F. JardineThis monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory. Beginning with an introduction to the homotopy theory of simplicial sets and topos theory, the book covers core topics such as the unstable homotopy theory of simplicial presheaves and sheaves, localized theories, cocycles, descent theory, non-abelian cohomology, stacks, and local stable homotopy theory. A detailed treatment of the formalism of the subject is interwoven with explanations of the motivation, development, and nuances of ideas and results. The coherence of the abstract theory is elucidated through the use of widely applicable tools, such as Barr's theorem on Boolean localization, model structures on the category of simplicial presheaves on a site, and cocycle categories. A wealth of concrete examples convey the vitality and importance of the subject in topology, number theory, algebraic geometry, and algebraic K-theory. Assuming basic knowledge of algebraic geometry and homotopy theory, Local Homotopy Theory will appeal to researchers and advanced graduate students seeking to understand and advance the applications of homotopy theory in multiple areas of mathematics and the mathematical sciences.
Local Minimization, Variational Evolution and Γ-Convergence
by Andrea BraidesThis book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variational evolution. It explores the links between Gamma-limits, quasistatic evolution, gradient flows and stable points, raising new questions and proposing new techniques. These include the definition of effective energies that maintain the pattern of local minima, the introduction of notions of convergence of energies compatible with stable points, the computation of homogenized motions at critical time-scales through the definition of minimizing movement along a sequence of energies, the use of scaled energies to study long-term behavior or backward motion for variational evolutions. The notions explored in the book are linked to existing findings for gradient flows, energetic solutions and local minimizers, for which some generalizations are also proposed.