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Natürliche Differenzierung im Arithmetikunterricht: Angebot und Nutzung von Lernangeboten in heterogenen Grundschulklassen (Mathematikdidaktik im Fokus)

by Silke Friedrich

In der aktuellen mathematikdidaktischen Diskussion wird das Konzept der natürlichen Differenzierung als eine adäquate Möglichkeit angesehen, mit heterogenen Lerngruppen umzugehen. Natürliche Differenzierung ermöglicht Lernenden das gemeinsame Arbeiten an einem Lerngegenstand auf unterschiedlichen Schwierigkeitsniveaus. Die Studie wurde im Mathematikunterricht dritter Klassen am Beispiel des Lernangebots „Kombi-Gleichungen“ durchgeführt. Dabei wurde empirisch untersucht, ob Lernende einer heterogenen Lerngruppe ein natürlich differenzierendes arithmetisches Lernangebot tatsächlich ihrem individuellen Lernpotenzial entsprechend nutzen.

The Navier-Stokes Equations: Theory and Numerical Methods (Lecture Notes in Pure and Applied Mathematics)

by Rodolfo Salvi

"Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."

Navier-Stokes Equations

by Grzegorz Łukaszewicz Piotr Kalita

This volume is devoted to the study of the Navier-Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier-Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier-Stokes equations. Incompressible Navier-Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier-Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.

Navier-Stokes-Fourier Equations

by Radyadour Kh. Zeytounian

This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.

The Navier-Stokes Problem in the 21st Century

by Pierre Gilles Lemarie-Rieusset

Praise for the first edition “The author is an outstanding expert in harmonic analysis who has made important contributions. The book contains rigorous proofs of a number of the latest results in the field. I strongly recommend the book to postgraduate students and researchers working on challenging problems of harmonic analysis and mathematical theory of Navier-Stokes equations." —Gregory Seregin, St Hildas College, Oxford University “"This is a great book on the mathematical aspects of the fundamental equations of hydrodynamics, the incompressible Navier-Stokes equations. It covers many important topics and recent results and gives the reader a very good idea about where the theory stands at present.” —Vladimir Sverak, University of Minnesota The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier–Stokes Problem in the 21st Century, Second Edition continues to provide a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics, now revised to include fresh examples, theorems, results, and references that have become relevant since the first edition published in 2016.

Navier–Stokes Equations on R3 × [0, T]

by Frank Stenger Don Tucker Gerd Baumann

In this monograph, leading researchers in the world ofnumerical analysis, partial differential equations, and hard computationalproblems study the properties of solutions of the Navier-Stokes partial differential equations on (x, y, z,t) ∈ â,, 3 × [0, T]. Initially converting the PDE to asystem of integral equations, the authors then describe spaces A of analytic functions that housesolutions of this equation, and show that these spaces of analytic functionsare dense in the spaces S of rapidlydecreasing and infinitely differentiable functions. This method benefits fromthe following advantages: The functions of S are nearly always conceptual rather than explicit Initial and boundary conditions of solutions of PDE are usually drawn from the applied sciences, and as such, they are nearly always piece-wise analytic, and in this case, the solutions have the same properties When methods of approximation are applied to functions of A they converge at an exponential rate, whereas methods of approximation applied to the functions of S converge only at a polynomial rate Enables sharper bounds on the solution enabling easier existence proofs, and a more accurate and more efficient method of solution, including accurate error bounds Following the proofs of denseness, the authors prove theexistence of a solution of the integral equations in the space of functions A ∩ â,, 3 × [0, T], and provide an explicit novelalgorithm based on Sinc approximation and Picard-like iteration for computingthe solution. Additionally, the authors include appendices that provide acustom Mathematica program for computing solutions based on the explicitalgorithmic approximation procedure, and which supply explicit illustrations ofthese computed solutions.

Navigating Circular Supply Chains: Optimizing Performance Measurement Through Fuzzy Methods and Quality Techniques (SpringerBriefs in Operations Management)

by Ramin Rostamkhani Thurasamy Ramayah

This book focuses on four key issues that are crucial to achieving productivity and sustainability in the circular supply chain management industry. These key topics are the elements of circular supply chain management, statistical techniques such as the design of experiments and statistical process control, well-known fuzzy techniques in the performance measurement analysis of circular supply chains, and the indicators of managing productivity and sustainability before and after implementing the model. Presenting a creative combination of fuzzy and statistical techniques on performance measurement in circular supply chain management, this book would be of interest to experts and technical managers who are responsible for implementing productivity and sustainability models within the organization as well as academics.

Navigating Molecular Networks (SpringerBriefs in Materials)

by N. Sukumar

This book delves into the foundational principles governing the treatment of molecular networks and "chemical space"—the comprehensive domain encompassing all physically achievable molecules—from the perspectives of vector space, graph theory, and data science. It explores similarity kernels, network measures, spectral graph theory, and random matrix theory, weaving intriguing connections between these diverse subjects. Notably, it emphasizes the visualization of molecular networks. The exploration continues by delving into contemporary generative deep learning models, increasingly pivotal in the pursuit of new materials possessing specific properties, showcasing some of the most compelling advancements in this field. Concluding with a discussion on the meanings of discovery, creativity, and the role of artificial intelligence (AI) therein.Its primary audience comprises senior undergraduate and graduate students specializing in physics, chemistry, and materials science. Additionally, it caters to those interested in the potential transformation of material discovery through computational, network, AI, and machine learning (ML) methodologies.

Navigating Strategic Decisions: The Power of Sound Analysis and Forecasting

by John E. Triantis

Based on four decades of experience and research, Navigating Strategic Decisions: The Power of Sound Analysis and Forecasting explains how to improve the decision-making process in your organization through the use of better long-term forecasts and decision support. Filled with time-tested methodologies and models, it provides you with the tools to establish the organization, processes, methods, and techniques required for analyzing and forecasting strategic decisions.Describing how to foster the conditions required for forecasts to materialize, this book will help you rank project valuations and select higher value creation projects. It also teaches you how to: Assess the commercial feasibility of large projects Apply sanity checks to forecasts and assess their resource implications Benchmark best-in-class strategic forecasting organizations, processes, and practices Identify project risks and manage project uncertainty Analyze forecasting models and scenarios to determine controllable levers Pinpoint factors needed to ensure that forecasted future states materialize as expected This book provides you with the benefit of the author’s decades of hands-on experience. In this book, John Triantis shares valuable insights on strategic planning, new product development, portfolio management, and business development groups. Describing how to provide world-class support to your corporate, market, and other planning functions, the book provides you with the tools to consistently make improved decisions that are based on hard data, balanced evaluations, well considered scenarios, and sound forecasts.

Navigating the: Between the Edges of Empire (Palgrave Politics of Identity and Citizenship Series)

by Emma Hill

What happens when migration takes place between sites defined by different types of ‘colonial difference’? This book asks this question in the context of Somali migration to Scotland, which it maps over a century of colonial relations, independence movements, and the reorganisation of the (post)colonial Somali and British states. Framing both Somalia and Scotland as sites of marginality in the matrices of colonial power, it tracks through a combination of archival material and contemporary testimonies the operation, development and divergence of (the) colonial(ity of) power in shaping Somali migration and citizenship experiences in Scotland. However, whilst the book has a grounded and localised focus, it makes the argument that Somali-Scottish migration cases present the urgent need for a holistic approach to the operation of coloniality, which not only emanates from the so-called ‘centre’ of Empire, but also at and between its edges.

Navigating the Technological Tide: Proceedings of the International Conference on Business and Technology (ICBT2024), Volume 3 (Lecture Notes in Networks and Systems #1082)

by Allam Hamdan Bahaaeddin Alareeni

In an era defined by technological breakthroughs such as AI, blockchain, and IoT, this book offers a fresh and practical approach to Business Model Innovation (BMI). It delves into how technological advancements drive new business models and enhance operational efficiency, providing actionable insights and real-world examples for business leaders, strategists, operations managers, entrepreneurs, and students in business and technology disciplines. Encouraging diverse research methods, including theoretical, empirical, and multimethod studies, it welcomes manuscripts with clear managerial or policy implications. Aimed at students, scholars, researchers, professionals, executives, government agencies, and policymakers, this book equips readers with tools to succeed in today's dynamic business environment and supports multidisciplinary research to advance innovation management practices.

Navigating the Technological Tide: Proceedings of the International Conference on Business and Technology (ICBT2024), Volume 2 (Lecture Notes in Networks and Systems #1081)

by Allam Hamdan Bahaaeddin Alareeni

In an era defined by technological breakthroughs such as AI, blockchain, and IoT, this book offers a fresh and practical approach to Business Model Innovation (BMI). It delves into how technological advancements drive new business models and enhance operational efficiency, providing actionable insights and real-world examples for business leaders, strategists, operations managers, entrepreneurs, and students in business and technology disciplines. Encouraging diverse research methods, including theoretical, empirical, and multimethod studies, it welcomes manuscripts with clear managerial or policy implications. Aimed at students, scholars, researchers, professionals, executives, government agencies, and policymakers, this book equips readers with tools to succeed in today's dynamic business environment and supports multidisciplinary research to advance innovation management practices.

Navigating the Technological Tide: Proceedings of the International Conference on Business and Technology (ICBT2024), Volume 4 (Lecture Notes in Networks and Systems #1083)

by Allam Hamdan Bahaaeddin Alareeni

In an era defined by technological breakthroughs such as AI, blockchain, and IoT, this book offers a fresh and practical approach to Business Model Innovation (BMI). It delves into how technological advancements drive new business models and enhance operational efficiency, providing actionable insights and real-world examples for business leaders, strategists, operations managers, entrepreneurs, and students in business and technology disciplines. Encouraging diverse research methods, including theoretical, empirical, and multimethod studies, it welcomes manuscripts with clear managerial or policy implications. Aimed at students, scholars, researchers, professionals, executives, government agencies, and policymakers, this book equips readers with tools to succeed in today's dynamic business environment and supports multidisciplinary research to advance innovation management practices.

Navigating the Technological Tide: Proceedings of the International Conference on Business and Technology (ICBT2024), Volume 1 (Lecture Notes in Networks and Systems #1080)

by Allam Hamdan Bahaaeddin Alareeni

In an era defined by technological breakthroughs such as AI, blockchain, and IoT, this book offers a fresh and practical approach to Business Model Innovation (BMI). It delves into how technological advancements drive new business models and enhance operational efficiency, providing actionable insights and real-world examples for business leaders, strategists, operations managers, entrepreneurs, and students in business and technology disciplines. Encouraging diverse research methods, including theoretical, empirical, and multimethod studies, it welcomes manuscripts with clear managerial or policy implications. Aimed at students, scholars, researchers, professionals, executives, government agencies, and policymakers, this book equips readers with tools to succeed in today's dynamic business environment and supports multidisciplinary research to advance innovation management practices.

Navigating Time and Space in Population Studies

by Emily R Merchant Glenn D Deane Kenneth M Sylvester Myron P Gutmann

Navigating Time and Space in Population Studies presents innovative approaches to long-standing questions about the diffusion of population and demographic behavior across space and over time. This collection utilizes newly-available historical data along with spatially and temporally explicit analytical methods to evaluate and refine core demographic theories and to pose new questions about mortality and fertility transitions, migration, urbanization, and social inequality. It adds a spatial dimension to the analysis of temporal processes and a temporal element to spatial processes. Chapters cover a broad range of geographical settings, including the United States, Europe, Latin America, and the Islamic world, and span time periods from the eighteenth to twentieth century. Contributors from a variety of disciplines reveal the complexity of factors involved in population processes that spread across space and unfold over time, and demonstrate a rich set of tools with which to explore, analyze, and test the spatial and temporal dynamics of these phenomena. The theories, methods, and substantive findings presented here provide new lenses through which to view time and space in population studies, offering useful models and valuable insights to demographers and other social scientists exploring both historical and contemporary questions about population dynamics anywhere in the world.

NBER Macroeconomics Annual 2017: Volume 32 (National Bureau of Economic Research Macroeconomics Annual #32)

by The University of Chicago Press

Volume 32 of the NBER Macroeconomics Annual features six theoretical and empirical studies of important issues in contemporary macroeconomics, and a keynote address by former IMF chief economist Olivier Blanchard. In one study, SeHyoun Ahn, Greg Kaplan, Benjamin Moll, Thomas Winberry, and Christian Wolf examine the dynamics of consumption expenditures in non-representative-agent macroeconomic models. In another, John Cochrane asks which macro models most naturally explain the post-financial-crisis macroeconomic environment, which is characterized by the co-existence of low and nonvolatile inflation rates, near-zero short-term interest rates, and an explosion in monetary aggregates. Manuel Adelino, Antoinette Schoar, and Felipe Severino examine the causes of the lending boom that precipitated the recent U.S. financial crisis and Great Recession. Steven Durlauf and Ananth Seshadri investigate whether increases in income inequality cause lower levels of economic mobility and opportunity. Charles Manski explores the formation of expectations, considering the efficacy of directly measuring beliefs through surveys as an alternative to making the assumption of rational expectations. In the final research paper, Efraim Benmelech and Nittai Bergman analyze the sharp declines in debt issuance and the evaporation of market liquidity that coincide with most financial crises. Blanchard’s keynote address discusses which distortions are central to understanding short-run macroeconomic fluctuations.

Near Extensions and Alignment of Data in R^n: Whitney extensions of near isometries, shortest paths, equidistribution, clustering and non-rigid alignment of data in Euclidean space

by Steven B. Damelin

Near Extensions and Alignment of Data in Rn Comprehensive resource illustrating the mathematical richness of Whitney Extension Problems, enabling readers to develop new insights, tools, and mathematical techniques Near Extensions and Alignment of Data in Rn demonstrates a range of hitherto unknown connections between current research problems in engineering, mathematics, and data science, exploring the mathematical richness of near Whitney Extension Problems, and presenting a new nexus of applied, pure and computational harmonic analysis, approximation theory, data science, and real algebraic geometry. For example, the book uncovers connections between near Whitney Extension Problems and the problem of alignment of data in Euclidean space, an area of considerable interest in computer vision. Written by a highly qualified author, Near Extensions and Alignment of Data in Rn includes information on: Areas of mathematics and statistics, such as harmonic analysis, functional analysis, and approximation theory, that have driven significant advances in the field Development of algorithms to enable the processing and analysis of huge amounts of data and data sets Why and how the mathematical underpinning of many current data science tools needs to be better developed to be useful New insights, potential tools, and mathematical techniques to solve problems in Whitney extensions, signal processing, shortest paths, clustering, computer vision, optimal transport, manifold learning, minimal energy, and equidistribution Providing comprehensive coverage of several subjects, Near Extensions and Alignment of Data in Rn is an essential resource for mathematicians, applied mathematicians, and engineers working on problems related to data science, signal processing, computer vision, manifold learning, and optimal transport.

Nearly Pseudo-Kähler Manifolds and Related Special Holonomies (Lecture Notes in Mathematics #2201)

by Lars Schäfer

Developing and providing an overview of recent results on nearly Kähler geometry on pseudo-Riemannian manifolds, this monograph emphasizes the differences with the classical Riemannian geometry setting. The focal objects of the text are related to special holonomy and Killing spinors and have applications in high energy physics, such as supergravity and string theory. Before starting into the field, a self-contained introduction to the subject is given, aimed at students with a solid background in differential geometry. The book will therefore be accessible to masters and Ph.D. students who are beginning work on nearly Kähler geometry in pseudo-Riemannian signature, and also to non-experts interested in gaining an overview of the subject. Moreover, a number of results and techniques are provided which will be helpful for differential geometers as well as for high energy physicists interested in the mathematical background of the geometric objects they need.

Necessary Conditions: Teaching Secondary Math with Academic Safety, Quality Tasks, and Effective Facilitation

by Geoff Krall

During his years working as an instructional coach for a national network of schools, Geoff Krall had the chance to witness several inspirational moments when math class comes alive for middle or high school students--when it is challenging but also fun, creative, and interactive. In Necessary Conditions: Teaching Secondary Math with Academic Safety, Quality Tasks, and Effective Facilitation, Krall documents the essential ingredients that produce these sorts of moments on a regular basis and for all students. They are Academic Safety, Quality Tasks, and Effective Facilitation. Academic Safety: Krall implements equitable classroom experiences that help fight stigmas associated with race and gender in schools. This allows students to feel socially and emotionally secure while nurturing their identities as mathematicians and increasing engagement during classroom discussionsQuality Tasks: Teachers can adapt or create dynamic, student-centered lessons that break down math into small, manageable sections, removing the frustrations felt by students who aren't considered math peopleEffective Facilitation: This book shows how to incorporate teaching moves and math routines designed for engagement, persistence, and interactivity. Teachers can allow students to explore safely while maintaining consistent classroom expectationsMy work as a math instructional coach for a network of schools has afforded me the unique opportunity to visit exceptional teachers across the country, documenting their tasks, teaching moves, and academically safe learning environments. You'll experience dispatches from these effective classrooms in which we'll observe how teachers attend to all three elements that make up the ecosystem. -- Geoff Krall from his book, Necessary Conditions

Necessary Conditions for an Extremum

by B.N. Pshenichnyi

This book presents a theory of necessary conditions for an extremum, including formal conditions for an extremum and computational methods. It states the general results of the theory and shows how these results can be particularized to specific problems.

Negation in Early English: Grammatical and Functional Change

by Phillip W. Wallage

Informed by detailed analysis of data from large-scale diachronic corpora, this book is a comprehensive account of changes to the expression of negation in English. Its methodological approach brings together up-to-date techniques from corpus linguistics and minimalist syntactic analysis to identify and characterise a series of interrelated changes affecting negation during the period 800–1700. Phillip Wallage uses cutting-edge statistical techniques and large-scale corpora to model changes in English negation over a period of nine hundred years. These models provide crucial empirical evidence which reveals the specific processes of syntactic and functional change affecting early English negation, and identifies diachronic relationships between these processes.

Negative Binomial Regression

by Joseph M. Hilbe

This second edition of Hilbe's Negative Binomial Regression is a substantial enhancement to the popular first edition. The only text devoted entirely to the negative binomial model and its many variations, nearly every model discussed in the literature is addressed. The theoretical and distributional background of each model is discussed, together with examples of their construction, application, interpretation and evaluation. Complete Stata and R codes are provided throughout the text, with additional code (plus SAS), derivations and data provided on the book's website. Written for the practising researcher, the text begins with an examination of risk and rate ratios, and of the estimating algorithms used to model count data. The book then gives an in-depth analysis of Poisson regression and an evaluation of the meaning and nature of overdispersion, followed by a comprehensive analysis of the negative binomial distribution and of its parameterizations into various models for evaluating count data.

Negative Interest Rates and Financial Stability: Lessons in Systemic Risk (Routledge International Studies in Money and Banking)

by Karol Rogowicz Małgorzata Iwanicz-Drozdowska

This book sheds new light on a recently introduced monetary tool – negative interest rates policy (NIRP). It provides in-depth insight into this phenomenon, conducted by the central banks in several economies, for example, the Eurozone, Switzerland and Japan, and its possible impact on systemic risk. Although it has been introduced as a temporary policy instrument, it may remain widely used for a longer period and by a greater range of central banks than initially expected, thus the book explores its effects and implications on the banking sector and financial markets, with a particular focus on potentially adverse consequences. There is a strong accent on the uniqueness of negative policy rates in the context of financial stability concerns. The authors assess whether NIRP has any – or in principle a stronger – impact on systemic risk than conventional monetary policy. The book is targeted at presenting and evaluating the initial experiences of NIRP policy during normal, i.e. pre-COVID, times, rather than in periods in which pre-established macroeconomic relations are rapidly disrupted or, specifically, when the source of the disruption is not purely economic in nature, unlike in systemic crisis. The authors adopt both theoretical and practical approaches to explore the key issues and outline the policy implications for both monetary and macroprudential authorities, with respect to negative interest rate policy, thus the book will provide a useful guide for policymakers, academics, advanced students and researchers of financial economics and international finance.

Negotiating the Life Course

by Janeen Baxter Ann Evans

Pathways through the life course have changed considerably in recent decades. Many of our assumptions about leaving home, starting new relationships and having children have been turned upside down. It is now almost as common to have children prior to marriage as afterwards, and certainly much more common to live together before marrying than to marry without first living together. Women are more likely to remain in the labour force after having children and many families struggle with problems of work-family balance at some stage in their lives, particularly when they have young children. But how much has really changed? Is there really more diversity in how individuals transition through these life course stages, or just variations at the margin with most people following a standard work and family life course? This volume makes use of rich longitudinal data from a unique Australian project to examine these issues. Drawing on broader theories of social change and demographic transitions in an international context, each chapter provides a detailed empirical assessment of the ways in which Australian adults negotiate their work and family lives. In doing so, the volume provides important insight into the ways in which recent demographic, social and economic changes both challenge and reproduce gender divisions.

The Negro Baseball Leagues: Tales of Umpiring Legendary Players, Breaking Barriers, and Making American History

by Byron Motley Bob Motley

Celebrating the 100th Anniversary of the Negro Leagues with updates and additions throughout! The Kansas City Monarchs, the Chicago American Giants, the St. Louis Stars, the Birmingham Black Barons, the Homestead Grays, and the Indianapolis Clowns; for over fifty years, they were the Yankees, Cardinals, and Red Sox of black baseball in America. And for over a decade beginning in the late 1940s, umpire Bob Motley called balls and strikes for many of their games, working alongside such legends as Satchel Paige, Hank Aaron, Ernie Banks, and Willie Mays. Today, Motley is the only living arbiter from the Negro Leagues. His personal account of the Negro Leagues is a revealing, humorous, and unforgettable memoir celebrating a long-lost league and a remarkable group of baseball players. In this brand new 100-year anniversary edition of Ruling Over Monarchs, Giants, and Stars, Motley and his son Byron share the characters, adventures, and challenges faced by these amazing men as they enthusiastically embraced America&’s pastime and made it their own. Filled with stories of talented heroes, small miracles, and downright fun, this unique memoir is a must-read for any baseball fan.

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