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National 5 Maths: Practice Papers for SQA Exams

by Mike Smith

Practise for your SQA exams with three specially-commissioned Hodder Gibson Practice Exam Papers.- Practise with model papers written and checked by experienced markers and examiners- Get extra advice with specially-written study-skills guidance sections- Gain vital extra marks and avoid common mistakes with examiner tips

National 5 Maths with Answers, Second Edition

by David Alcorn

Exam Board: SQALevel: National 5Subject: MathematicsFirst Teaching: September 2017First Exam: Summer 2018National 5 Maths Second Edition offers updated, rearranged and complete coverage of the SQA syllabus for the examination of the same name from 2017/18 onwards. - Provides thorough preparation for the exam, as revised for the updated syllabus.- Covers all the topics necessary for the revised examination.- Offers a suggested approach through all five sections (Number, Algebra, Geometry, Trigonometry and Statistics), flexibly structured so that teachers and students are also free to select alternative routes to suit individual needs.- Organised content makes it easy to plan, manage and monitor progress.- Each chapter consists of:>Worked Examples with explanatory notes showing how skills are applied >Practice Exercises that are graded to build confidence >Key Points that summarise key points and skills>Review Exercise that provides the opportunity to consolidate topics introduced in the chapter- Includes Revision Exercises, for non-calculator and calculator papers, provide opportunities to consolidate skills acquired during the course.- Exam Practice provides further questions in preparation for the extended examination(s) of the revised syllabus.

National Reflections on the Netherlands Didactics of Mathematics: Teaching and Learning in the Context of Realistic Mathematics Education (ICME-13 Monographs)

by Marja Van den Heuvel-Panhuizen

This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education.Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.

National Subcommissions of ICMI and their Role in the Reform of Mathematics Education (International Studies in the History of Mathematics and its Teaching)

by Alexander Karp

ICMI (or IMUK) was founded in 1908 and initiated the establishment of national subcommissions to launch national activities in response to the IMUK agenda and to promote the reform proposals within each member country.While ICMI’s activities were thoroughly studied, the activities of the national subcommissions are studied only very marginally. In the meantime, their work has been of major importance – both because of their role in exploring and documenting the development of mathematics education at the beginning of the 20th century, and because of the changes and new ideas which they brought to their countries. Importantly, even if some results of their activities were analyzed within their countries in the corresponding languages, almost nothing is known internationally. This book is planned to deepen our knowledge on at least some of the national subcommissions. The book will interest both researchers and others interested in mathematics education and its development.

Native American Mathematics

by Michael P. Closs

There is no question that native cultures in the New World exhibit many forms of mathematical development. This Native American mathematics can best be described by considering the nature of the concepts found in a variety of individual New World cultures. Unlike modern mathematics in which numbers and concepts are expressed in a universal mathematical notation, the numbers and concepts found in native cultures occur and are expressed in many distinctive ways. Native American Mathematics, edited by Michael P. Closs, is the first book to focus on mathematical development indigenous to the New World.<P><P>Spanning time from the prehistoric to the present, the thirteen essays in this volume attest to the variety of mathematical development present in the Americas. The data are drawn from cultures as diverse as the Ojibway, the Inuit (Eskimo), and the Nootka in the north; the Chumash of Southern California; the Aztec and the Maya in Mesoamerica; and the Inca and Jibaro of South America. Among the strengths of this collection are this diversity and the multidisciplinary approaches employed to extract different kinds of information. The distinguished contributors include mathematicians, linguists, psychologists, anthropologists, and archaeologists.

Natur und Zahl: Die Mathematisierbarkeit der Welt

by Bernulf Kanitscheider

Die Mathematik hat sich seit dem Entstehen der modernen Naturwissenschaft im 16. Jh. als das entscheidende Erkenntnisinstrument erwiesen, so dass die Mathematisierung der Theorien eines Faches als Kriterium seiner Reife betrachtet wurde. Dennoch ist der Grund für diesen unerwarteten Anwendungserfolg immer dunkel geblieben. Warum lässt sich die materielle Natur mit dem geistigen Werkzeug der Zahlen und geometrischen Formen so perfekt erfassen? Diese Frage ist eng verknüpft mit dem ontologischen Status abstrakter Objekte: Wo sind sie beheimatet, in den Dingen als Strukturen, im Hintergrund als Ideen, oder sind sie nur Fiktionen? Die Hypothese dieses Buches folgt einer Idee von P.A.M. Dirac, der vermutete, dass die Natur eine innere mathematische Qualität besitzt.

Natural Computing for Simulation-Based Optimization and Beyond (SpringerBriefs in Operations Research)

by Silja Meyer-Nieberg Nadiia Leopold Tobias Uhlig

This SpringerBrief bridges the gap between the areas of simulation studies on the one hand, and optimization with natural computing on the other. Since natural computing methods have been applied with great success in several application areas, a review concerning potential benefits and pitfalls for simulation studies is merited. The brief presents such an overview and combines it with an introduction to natural computing and selected major approaches, as well as with a concise treatment of general simulation-based optimization. As such, it is the first review which covers both the methodological background and recent application cases. The brief is intended to serve two purposes: First, it can be used to gain more information concerning natural computing, its major dialects, and their usage for simulation studies. It also covers the areas of multi-objective optimization and neuroevolution. While the latter is only seldom mentioned in connection with simulation studies, it is a powerful potential technique. Second, the reader is provided with an overview of several areas of simulation-based optimization which range from logistic problems to engineering tasks. Additionally, the brief focuses on the usage of surrogate and meta-models. The brief presents recent application examples.

Natural Deduction, Hybrid Systems and Modal Logics

by Andrzej Indrzejczak

This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.

Natural Element Method for the Simulation of Structures and Processes (Wiley-iste Ser.)

by Francisco Chinesta Serge Cescotto Elias Cueto Philippe Lorong

Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. Before the emergence of computational science (also called scientific computing) as a "third way" besides theoretical and experimental sciences, computational mechanics was widely considered to be a sub-discipline of applied mechanics. It is now considered to be a sub-discipline within computational science. This book presents a recent state of the art on the foundations and applications of the meshless natural element method in computational mechanics, including structural mechanics and material forming processes involving solids and Newtonian and non-Newtonian fluids.

Natural Language Processing and Chinese Computing: 8th CCF International Conference, NLPCC 2019, Dunhuang, China, October 9–14, 2019, Proceedings, Part II (Lecture Notes in Computer Science #11839)

by Jie Tang Min-Yen Kan Dongyan Zhao Sujian Li Hongying Zan

This two-volume set of LNAI 11838 and LNAI 11839 constitutes the refereed proceedings of the 8th CCF Conference on Natural Language Processing and Chinese Computing, NLPCC 2019, held in Dunhuang, China, in October 2019. The 85 full papers and 56 short papers presented were carefully reviewed and selected from 492 submissions. They are organized in the following topical sections: Conversational Bot/QA/IR; Knowledge graph/IE; Machine Learning for NLP; Machine Translation; NLP Applications; NLP for Social Network; NLP Fundamentals; Text Mining; Short Papers; Explainable AI Workshop; Student Workshop: Evaluation Workshop.

Natural Language Processing and Chinese Computing: 8th CCF International Conference, NLPCC 2019, Dunhuang, China, October 9–14, 2019, Proceedings, Part I (Lecture Notes in Computer Science #11838)

by Jie Tang Min-Yen Kan Dongyan Zhao Sujian Li Hongying Zan

This two-volume set of LNAI 11838 and LNAI 11839 constitutes the refereed proceedings of the 8th CCF Conference on Natural Language Processing and Chinese Computing, NLPCC 2019, held in Dunhuang, China, in October 2019. The 85 full papers and 56 short papers presented were carefully reviewed and selected from 492 submissions. They are organized in the following topical sections: Conversational Bot/QA/IR; Knowledge graph/IE; Machine Learning for NLP; Machine Translation; NLP Applications; NLP for Social Network; NLP Fundamentals; Text Mining; Short Papers; Explainable AI Workshop; Student Workshop: Evaluation Workshop.

Natural Language Processing with TensorFlow: The definitive NLP book to implement the most sought-after machine learning models and tasks, 2nd Edition

by Thushan Ganegedara Andrei Lopatenko

From introductory NLP tasks to Transformer models, this new edition teaches you to utilize powerful TensorFlow APIs to implement end-to-end NLP solutions driven by performant ML (Machine Learning) modelsKey FeaturesLearn to solve common NLP problems effectively with TensorFlow 2.xImplement end-to-end data pipelines guided by the underlying ML model architectureUse advanced LSTM techniques for complex data transformations, custom models and metricsBook DescriptionLearning how to solve natural language processing (NLP) problems is an important skill to master due to the explosive growth of data combined with the demand for machine learning solutions in production. Natural Language Processing with TensorFlow, Second Edition, will teach you how to solve common real-world NLP problems with a variety of deep learning model architectures. The book starts by getting readers familiar with NLP and the basics of TensorFlow. Then, it gradually teaches you different facets of TensorFlow 2.x. In the following chapters, you then learn how to generate powerful word vectors, classify text, generate new text, and generate image captions, among other exciting use-cases of real-world NLP. TensorFlow has evolved to be an ecosystem that supports a machine learning workflow through ingesting and transforming data, building models, monitoring, and productionization. We will then read text directly from files and perform the required transformations through a TensorFlow data pipeline. We will also see how to use a versatile visualization tool known as TensorBoard to visualize our models. By the end of this NLP book, you will be comfortable with using TensorFlow to build deep learning models with many different architectures, and efficiently ingest data using TensorFlow Additionally, you'll be able to confidently use TensorFlow throughout your machine learning workflow.What you will learnLearn core concepts of NLP and techniques with TensorFlowUse state-of-the-art Transformers and how they are used to solve NLP tasksPerform sentence classification and text generation using CNNs and RNNsUtilize advanced models for machine translation and image caption generationBuild end-to-end data pipelines in TensorFlowLearn interesting facts and practices related to the task at handCreate word representations of large amounts of data for deep learningWho this book is forThis book is for Python developers and programmers with a strong interest in deep learning, who want to learn how to leverage TensorFlow to simplify NLP tasks.Fundamental Python skills are assumed, as well as basic knowledge of machine learning and undergraduate-level calculus and linear algebra. No previous natural language processing experience required.

The Natural Law of Cycles: Governing the Mobile Symmetries of Animals and Machines

by James H. Bunn

The Natural Law of Cycles assembles scientific work from different disciplines to show how research on angular momentum and rotational symmetry can be used to develop a law of energy cycles as a local and global influence. Angular momentum regulates small-scale rotational cycles such as the swimming of fish in water, the running of animals on land, and the flight of birds in air. Also, it regulates large-scale rotation cycles such as global currents of wind and water.James H. Bunn introduces concepts of symmetry, balance, and angular momentum, showing how together they shape the mobile symmetries of animals. Chapter 1 studies the configurations of animals as they move in a head-first direction. Chapter 2 shows how sea animals follow currents and tides generated by the rotational cycles of the earth. In chapter 3, Bunn explores the biomechanical pace of walking as a partial cycle of rotating limbs. On a large scale, angular momentum governs balanced shifts in plate tectonics.Chapter 4 begins with an examination of rotational wind patterns in terms of the counter-balancing forces of angular momentum. The author shows how these winds augment the flights of birds during migrations. A final chapter centres on the conservation of energy as the most basic principle of science. Bunn argues that in the nineteenth century the unity of nature was seen in the emergent concept of energy, not matter, as the source of power, including the movements of animals and machines. In each chapter Bunn features environmental writers who celebrate mobile symmetries. This book will interest students, naturalists, and advocates of the environmental movement.

Natural Resource Pricing and Rents: An Economic Analysis (Contributions to Economics)

by Andrey Vavilov Georgy Trofimov

This book examines the economics of natural resource markets and pricing, as well as the field of natural resource economics in general. It presents the key contributions to this field of research, including the pioneering works and contemporary studies. The book highlights the basic principles and ideas underlying theoretical models of resource pricing. The models considered in the book underline the fundamental determinants of resource prices and the economic nature of rents for non-renewable and renewable resources. Besides the classical theory of exhaustible resource economics, the book includes several issues that are of high importance for global economic growth, such as the transition to alternative energy and the economics of climate change. The authors also consider the issues of commodity pricing and a resource cartel’s activity that are relevant to the world oil market.The book provides analytical solutions illustrated with numerical examples. It allows an intuitive understanding of the subject and the model inferences through graphical illustrations and an informal introduction. It, therefore, is a must-read for everybody interested in a better understanding of resource prices, resource markets, and resource economics.

Natural Resources as Capital (The\mit Press Ser.)

by Larry Karp

An introduction to the concepts and tools of natural resource economics, including dynamic models, market failures, and institutional remedies.This introduction to natural resource economics treats resources as a type of capital; their management is an investment problem requiring forward-looking behavior within a dynamic setting. Market failures are widespread, often associated with incomplete or nonexistent property rights, complicated by policy failures. The book covers standard resource economics topics, including both the Hotelling model for nonrenewable resources and models for renewable resources. The book also includes some topics in environmental economics that overlap with natural resource economics, including climate change.The text emphasizes skills and intuition needed to think about dynamic models and institutional remedies in the presence of both market and policy failures. It presents the nuts and bolts of resource economics as applied to nonrenewable resources, including the two-period model, stock-dependent costs, and resource scarcity. The chapters on renewable resources cover such topics as property rights as an alternative to regulation, the growth function, steady states, and maximum sustainable yield, using fisheries as a concrete setting. Other, less standard, topics covered include microeconomic issues such as arbitrage and the use of discounting; policy problems including the “Green Paradox”; foundations for policy analysis when market failures are important; and taxation. Appendixes offer reviews of the relevant mathematics. The book is suitable for use by upper-level undergraduates or, with the appendixes, masters-level courses.

Naturalizing Logico-Mathematical Knowledge: Approaches from Philosophy, Psychology and Cognitive Science (Routledge Studies in the Philosophy of Mathematics and Physics)

by Sorin Bangu

This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science? The question about this distinctive kind of knowledge is rooted in Plato’s dialogues, and virtually all major philosophers have expressed interest in it. The essays in this collection tackle this important philosophical query from the perspective of the modern sciences of cognition, namely cognitive psychology and neuroscience. Naturalizing Logico-Mathematical Knowledge contributes to consolidating a new, emerging direction in the philosophy of mathematics, which, while keeping the traditional concerns of this sub-discipline in sight, aims to engage with them in a scientifically-informed manner. A subsequent aim is to signal the philosophers’ willingness to enter into a fruitful dialogue with the community of cognitive scientists and psychologists by examining their methods and interpretive strategies.

The Nature and Power of Mathematics

by Donald M. Davis

This captivating book explains some of mathematics' most fascinating ideas to nonspecialists. It explores items of philosophical and historical interest, discusses the often-surprising applicability of mathematics, and reveals the subject's intrinsic beauty. Author Donald M. Davis focuses on three main areas: non-Euclidean geometry, a basis for relativity theory; number theory, a major component of cryptography; and fractals, the key elements of computer-generated art. He also discusses related topics, such as the relevance of Greek mathematics to Kepler's laws of planetary motion, and the theoretical work that led to the development of computers.Only a background in basic algebra and geometry is necessary to appreciate this volume, which features exercises that further develop some of its important concepts. Graded according to difficulty, these exercises are designed to improve readers' skills in logic, and to enable them to experience mathematics at increasingly advanced levels.Supplementary materials at the end of each chapter include intriguing examples of the subjects' applications, as well as biographical sketches of Archimedes, Einstein, Newton, and other luminaries of mathematics.

Nature-Inspired Computing: Physics and Chemistry-Based Algorithms

by Hojjat Adeli Nazmul H. Siddique

Nature-Inspired Computing: Physics and Chemistry-Based Algorithms provides a comprehensive introduction to the methodologies and algorithms in nature-inspired computing, with an emphasis on applications to real-life engineering problems. The research interest for Nature-inspired Computing has grown considerably exploring different phenomena observed in nature and basic principles of physics, chemistry, and biology. The discipline has reached a mature stage and the field has been well-established. This endeavour is another attempt at investigation into various computational schemes inspired from nature, which are presented in this book with the development of a suitable framework and industrial applications. Designed for senior undergraduates, postgraduates, research students, and professionals, the book is written at a comprehensible level for students who have some basic knowledge of calculus and differential equations, and some exposure to optimization theory. Due to the focus on search and optimization, the book is also appropriate for electrical, control, civil, industrial and manufacturing engineering, business, and economics students, as well as those in computer and information sciences. With the mathematical and programming references and applications in each chapter, the book is self-contained, and can also serve as a reference for researchers and scientists in the fields of system science, natural computing, and optimization.

Nature-Inspired Computing and Optimization

by Srikanta Patnaik Xin-She Yang Kazumi Nakamatsu

The book provides readers with a snapshot of the state of the art in the field of nature-inspired computing and its application in optimization. The approach is mainly practice-oriented: each bio-inspired technique or algorithm is introduced together with one of its possible applications. Applications cover a wide range of real-world optimization problems: from feature selection and image enhancement to scheduling and dynamic resource management, from wireless sensor networks and wiring network diagnosis to sports training planning and gene expression, from topology control and morphological filters to nutritional meal design and antenna array design. There are a few theoretical chapters comparing different existing techniques, exploring the advantages of nature-inspired computing over other methods, and investigating the mixing time of genetic algorithms. The book also introduces a wide range of algorithms, including the ant colony optimization, the bat algorithm, genetic algorithms, the collision-based optimization algorithm, the flower pollination algorithm, multi-agent systems and particle swarm optimization. This timely book is intended as a practice-oriented reference guide for students, researchers and professionals.

Nature-Inspired Computing for Smart Application Design (Springer Tracts in Nature-Inspired Computing)

by Santosh Kumar Das Thanh-Phong Dao Thinagaran Perumal

This book focuses primarily on the nature-inspired approach for designing smart applications. It includes several implementation paradigms such as design and path planning of wireless network, security mechanism and implementation for dynamic as well as static nodes, learning method of cloud computing, data exploration and management, data analysis and optimization, decision taking in conflicting environment, etc. The book fundamentally highlights the recent research advancements in the field of engineering and science.

Nature-Inspired Metaheuristic Algorithms for Engineering Optimization Applications (Springer Tracts in Nature-Inspired Computing)

by Serdar Carbas Abdurrahim Toktas Deniz Ustun

This book engages in an ongoing topic, such as the implementation of nature-inspired metaheuristic algorithms, with a main concentration on optimization problems in different fields of engineering optimization applications. The chapters of the book provide concise overviews of various nature-inspired metaheuristic algorithms, defining their profits in obtaining the optimal solutions of tiresome engineering design problems that cannot be efficiently resolved via conventional mathematical-based techniques. Thus, the chapters report on advanced studies on the applications of not only the traditional, but also the contemporary certain nature-inspired metaheuristic algorithms to specific engineering optimization problems with single and multi-objectives. Harmony search, artificial bee colony, teaching learning-based optimization, electrostatic discharge, grasshopper, backtracking search, and interactive search are just some of the methods exhibited and consulted step by step in application contexts. The book is a perfect guide for graduate students, researchers, academicians, and professionals willing to use metaheuristic algorithms in engineering optimization applications.

Nature Inspired Optimisation for Delivery Problems: From Theory to the Real World (Natural Computing Series)

by Neil Urquhart

This book explains classic routing and transportation problems and solutions, before offering insights based on successful real-world solutions. The chapters in Part I introduce and explain the traveling salesperson problem (TSP), vehicle routing problems (VRPs), and multi-objective problems, with an emphasis on heuristic approaches and software engineering aspects. In turn, Part II demonstrates how to exploit geospatial data, routing algorithms, and visualization. In Part III, the above techniques and insights are combined in real-world success stories from domains such as food delivery in rural areas, postal delivery, workforce routing, and urban logistics.The book offers a valuable supporting text for advanced undergraduate and graduate courses and projects in Computer Science, Engineering, Operations Research, and Mathematics. It is accompanied by a repository of source code, allowing readers to try out the algorithms and techniques discussed.

Nature-Inspired Optimization Algorithms

by Vasuki A

Nature-Inspired Optimization Algorithms, a comprehensive work on the most popular optimization algorithms based on nature, starts with an overview of optimization going from the classical to the latest swarm intelligence algorithm. Nature has a rich abundance of flora and fauna that inspired the development of optimization techniques, providing us with simple solutions to complex problems in an effective and adaptive manner. The study of the intelligent survival strategies of animals, birds, and insects in a hostile and ever-changing environment has led to the development of techniques emulating their behavior. This book is a lucid description of fifteen important existing optimization algorithms based on swarm intelligence and superior in performance. It is a valuable resource for engineers, researchers, faculty, and students who are devising optimum solutions to any type of problem ranging from computer science to economics and covering diverse areas that require maximizing output and minimizing resources. This is the crux of all optimization algorithms. Features: Detailed description of the algorithms along with pseudocode and flowchart Easy translation to program code that is also readily available in Mathworks website for some of the algorithms Simple examples demonstrating the optimization strategies are provided to enhance understanding Standard applications and benchmark datasets for testing and validating the algorithms are included This book is a reference for undergraduate and post-graduate students. It will be useful to faculty members teaching optimization. It is also a comprehensive guide for researchers who are looking for optimizing resources in attaining the best solution to a problem. The nature-inspired optimization algorithms are unconventional, and this makes them more efficient than their traditional counterparts.

Nature Inspired Optimization for Electrical Power System (Algorithms for Intelligent Systems)

by Jagdish Chand Bansal Manjaree Pandit Hari Mohan Dubey

This book presents a wide range of optimization methods and their applications to various electrical power system problems such as economical load dispatch, demand supply management in microgrids, levelized energy pricing, load frequency control and congestion management, and reactive power management in radial distribution systems. Problems related to electrical power systems are often highly complex due to the massive dimensions, nonlinearity, non-convexity and discontinuity associated with objective functions. These systems also have a large number of equality and inequality constraints, which give rise to optimization problems that are difficult to solve using classical numerical methods. In this regard, nature inspired optimization algorithms offer an effective alternative, due to their ease of use, population-based parallel search mechanism, non-dependence on the nature of the problem, and ability to accommodate non-differentiable, non-convex problems. The analytical model of nature inspired techniques mimics the natural behaviors and intelligence of life forms. These techniques are mainly based on evolution, swarm intelligence, ecology, human intelligence and physical science.

Nature Inspired Optimization Techniques for Image Processing Applications (Intelligent Systems Reference Library #150)

by Jude Hemanth Valentina Emilia Balas

This book provides a platform for exploring nature-inspired optimization techniques in the context of imaging applications. Optimization has become part and parcel of all computational vision applications, and since the amount of data used in these applications is vast, the need for optimization techniques has increased exponentially. These accuracy and complexity are a major area of concern when it comes to practical applications. However, these optimization techniques have not yet been fully explored in the context of imaging applications. By presenting interdisciplinary concepts, ranging from optimization to image processing, the book appeals to a broad readership, while also encouraging budding engineers to pursue and employ innovative nature-inspired techniques for image processing applications.

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