Search results for ""Exponential""

An accessible Precalculus text with concepts, examples, and problemsThe sixth edition of Functions Modeling Change: A Preparation for Calculus helps students establish a foundation for studying Calculus. The text covers key Precalculus topics, examples, and problems. Chapters examine linear, quadratic, logarithmic, exponential, polynomial, and rational functions. They also explore trigonometry and trigonometric Identities, plus vectors and matrices. The end of each chapter offers details on how students can strengthen their knowledge about the topics covered.

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The discovery of toll-like receptors (TLRs) spurred the field of innate immunity into a renaissance after many years of neglect. Since then, TLR research has grown at an exponential rate. Taking an integrated methodological approach, Signaling by Toll-Like Receptors offers a comprehensive review of important techniques in molecular biology, cell biology, biochemistry, genetics, and immunology and their critical application to the study of toll-like receptor structure, biological function, and the intracellular signaling triggered by these receptors.

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Makers never had it so good! Tools available to makers are getting increasingly sophisticated and specific, more accessible, and less expensive. Makers can also add the "big tools" to their toolboxes--those typically only available at their local makerspaces. As making becomes more prolific, makerspaces are experiencing exponential growth across the U.S. Learn about these tools and the makerspaces where you can learn to use them: CNC machines Laser cutters Plasma torches 3D printers woodworking tools In addition, this issue covers new microcontroller platforms, and projects like a beer-delivering robot and submarine simulator.

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The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as convolution and Fourier transform. The book is simultaneously an account of some of these ideas, techniques, and results, and an account of their application to concrete equidistribution questions concerning Kloosterman sums and Gauss sums.

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Wine tourism is experiencing exponential growth and the pressure is now on wine producers to commission the best architects to create appealing spaces that will celebrate and promote the culture of wine. Today's winery is designed as much for the winery tour as for wine production itself. Illustrated with striking examples of 40 of the world's most beautiful wineries, Wine by Design introduces the most exciting new designs and covers the newest trends from celebrity wineries to the new links with spa therapies and hospitality, to new green, sustainable initiatives.

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Build your company’s next-generation growth strategy by using emerging technologies to disrupt your field and energize your business In Digital Operating Model: The Future of Business, digital strategist and execution expert Rajesh Sinha delivers a robust and practical operating blueprint for digital transformation. Applicable to any industry, any size company, this playbook helps executives, professionals, managers, founders, owners, and other business leaders understand the importance and realize the benefits of a digital future for their companies—all without having to spend massive amounts of money in the process. The author explores effective methods to create multiple digital accelerators, develop cultural alignment that fosters innovation and delivers rapid solutions, and shares insights into the new mantras of our goods-and-services on-demand economy. Readers will also find: Step-by-step guidance to implementing a digital platform strategy that leads to exponential business growth Methods for designing and applying new businesses processes that create better experiences internally for your teams and externally for your customers and customers’ customers, which also leads to exponential business growth Real-life examples and case studies of businesses that have achieved successful digital acceleration and grown dramatically in the process Digital Operating Model shows readers how to meet their professional objectives while realizing profound transformation that offers innovative and durable differentiation both in terms of purpose and profits.

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This monograph is concerned with the interplay between the theory of operator semigroups and spectral theory. The basics on operator semigroups are concisely covered in this self-contained text. Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato’s unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone’s representation of unitary semigroups. Part II explores generalizations of spectral theory’s connection to operator semigroups.

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“A visionary roadmap for people who believe they can change the world—and invaluable advice about bringing together the partners and technologies to help them do it.” —President Bill ClintonA radical, how-to guide for using exponential technologies, moonshot thinking, and crowd-powered tools, Bold unfolds in three parts. Part One focuses on the exponential technologies that are disrupting today’s Fortune 500 companies and enabling upstart entrepreneurs to go from “I’ve got an idea” to “I run a billion-dollar company” far faster than ever before. The authors provide exceptional insight into the power of 3D printing, artificial intelligence, robotics, networks and sensors, and synthetic biology. Part Two draws on insights from billionaires such as Larry Page, Elon Musk, Richard Branson, and Jeff Bezos and reveals their entrepreneurial secrets. Finally, Bold closes with a look at the best practices that allow anyone to leverage today’s hyper-connected crowd like never before. Here, the authors teach how to design and use incentive competitions, launch million-dollar crowdfunding campaigns to tap into tens of billions of dollars of capital, and finally how to build communities—armies of exponentially enabled individuals willing and able to help today’s entrepreneurs make their boldest dreams come true.

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This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The authors concentrate on three types of absorbing sets: attractors, exponential attractors, and inertial manifolds. They present the fundamental properties of these sets, and then proceed to show the existence of some of these sets for a number of dynamical systems generated by well-known physical models. In particular, they consider in full detail two particular PDEEs: a semilinear version of the heat equation and a corresponding version of the dissipative wave equation. These examples illustrate the most important features of the theory of semiflows and provide a sort of template that can be applied to the analysis of other models.The material builds in a careful, gradual progression, developing the background needed by newcomers to the field, and culminating in a more detailed presentation of the main topics than found in most sources. The authors' approach to and treatment of the subject builds the foundation for more advanced references and research on global attractors, exponential attractors, and inertial manifolds.

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SparkCharts™:The information you need-concisely, conveniently, and accurately. Created by Harvard students for students everywhere, these study companions and reference tools cover a wide range of college and graduate school subjects, from Business and Computer Programming to Medicine, Law, and Languages. They'll give you what it takes to find success in school and beyond. Outlines and summaries cover key points, while diagrams and tables make difficult concepts easier to grasp.This four-page chart reviews: Definition of a function Exponential and logarithmic functions Changing a function Polynomial functions Rational functions Polar coordinates Complex numbers Trigonometric functions

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Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.

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Viele angehende Studenten haben gehörigen Respekt vor der Mathematik, wenn sie ein Studium der Wirtschaftswissenschaften beginnen, und das zu Recht. Aber Hilfe naht: Torsten Schreiber bringt Sie, egal wo Sie auf der Schule waren und wo Sie studieren werden, auf den Stand, dass Sie der Mathematikvorlesung im ersten Semester folgen können. Er erklärt Ihnen noch einmal die Grundrechenarten mit und ohne Zahlen und erläutert, was Sie über Algebra und Analysis wissen sollten. Auch Exponential- und Logarithmenrechnung kommen nicht zu kurz, und so ist dies für Sie das perfekte Auffrischungsbuch vor dem Studium.

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This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.

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THE BOOK VENTURE CAPITALISTS DON'T WANT YOU TO READ Frustrated with the impractical lessons he learned throughout the course of completing two master's degrees in the business and economics fields, Muñoz set out to chart his own business development and organizational management system that did not rely on the venture capitalist models commonly found in the United States. Enter the Neural Organizational Model for Exponential Growth (NOMEG), both a philosophy and a business management system that reinvents how companies are structured and emphasizes the importance of innovation, experimentation, and collaboration. It rejects the notion of specialization in favor of a more nimble, adaptable structure that sidesteps competition and reduces an entrepreneur's reliance on venture capital. With this book, Muñoz explains in detail the nine components of NOMEG: Organizational Model, Innovation Process, Talent System, Exponential Marketing, Global Licensing, Central Bank, Working Capital, Board, and Exit.The Nomeg Model: Creating a Profitable International Company without Money from Investors is as much a poignant account of Muñoz's hardships, resolve, and humanity as it is an easy-to-read manual packed with applicable, real world tested strategies to engage the rapidly evolving business terrain of the modern world, told from Muñoz's signature perspective of fiery ambition and drive, as well as the discipline and collective knowledge required to sustain them.

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Discover the technologies and trends that threaten humanity and our planet--- and how we can rein them back in, together In The Unintended Consequences of Technology: Solutions, Breakthroughs and the Restart We Need, accomplished tech entrepreneur Chris Ategeka delivers an insightful and eye-opening exploration of the challenges and the opportunities at the intersection of technology, society and our planet. Detailing both positive and negative technology use cases that on one hand have made humanity better, but on the other hand pose a serious threat to individuals and groups across the world, the author demonstrates how to avoid allowing powerful technologies to overcome our better natures. In this book, you'll: Discover how the forces of capitalism, greed and the myths that surround meritocracy when combined with exponential technology pose an existential risk for humanity. Explore the many exponential technologies such as gene editing, 5G, behavior modification, cyberspace… that have lots of promise but also uncertainty. Consider the future of humanity we wish to collectively build, and whether we can rebuild a capacity for empathy at scale in our tech tools Perfect for founders, business leaders, executives, managers, Chief Technology Officers, and anyone else [i.e. all human beings] responsible for the use and proliferation of advanced technologies. The Unintended Consequences of Technology is a thought-provoking, must-read resource for those at the forefront of our new technological reality.

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There has been an exponential growth in international environmental treaty-making over the past fifty years, to the point of 'treaty congestion' - with a total of more than 1,300 multilateral (global and regional) agreements on the topic and close to 3,000 bilateral ones currently in force. This research review addresses this phenomenon from a variety of disciplinary perspectives: international law, political science, and 'ecological economics'. The objective is comparative analysis, with a view to identifying common features and common problems of transnational environmental regimes, in light of their historical evolution, their application and effectiveness in practice, and possible lessons learned in their institutional 'interplay' with each other.

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This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.

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There has been an exponential increase in the amount of information available on the pathophysiology and management of heart diseases. Meanwhile, understanding of the underlying pathology and physiology has deepened and broadened with new methodologies to monitor cardiac structure and function. These developments have led to an overwhelming amount of information available to students, trainees, and physicians. What is in short supply is a comprehensive yet concise and clear description of the important cardiac conditions and disorders, an approach to their management, and an easily consulted and well-indexed summary to be used at the bedside or in the clinic. This book addresses that need.

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A KING’S WORTHFaced with the horror of her sister’s mutilated corpse, Queen of Concealment’s sanity fractures and she loses control of her significant magical power. Her path of destruction reveals her and the Dark Lord to the humans, leaving them surrounded. When it’s clear their escape is not possible, the Dark Lord makes a drastic decision, staying behind to face the human army alone. But when Luminary Blazing Lion Virgoski arrives, a battle of exponential scale ensues. Despite the odds against him, the Dark Lord intends to put up a fight worthy of a king.

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Gary Rockswold teaches algebra in context, answering the question, “Why am I learning this?” By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswold’s focus on conceptual understanding helps students make connections between the concepts and as a result, students see the bigger picture of math and are prepared for future courses. This streamlined text covers linear, quadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, which gets to the heart of what students need from this course. A more comprehensive college algebra text is also available.

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*A Wall Street Journal bestseller*The forces driving today's world of structural change create sharp bends in the road that can lead to major explosions in your existing market space. But exponential change also offers exponential opportunities. How do you leverage change to go on the offense? The Attacker's Advantage is the game plan for winning in an era of ambiguity, volatility, and complexity, when every leader and every business is being challenged in new and unexpected ways.Ram Charan, harnessing an unequalled depth and breadth of experience working with leaders and companies around the globe, provides tested, practical tools to help you:Build the perceptual acuity to see around corners and detect, ahead of others, those forces,especially people, who are the catalysts of change,that could radically reshape a company or industryHave the mindset to see opportunity in uncertaintyCommit to a new path forward despite the unknowns, positioning your business to make the next move ahead of competitorsBreak the blockages that can hold your company backKnow when to accelerate and when to shift the short-term and long-term balanceMake your organization agile and steerable by aligning people, priorities, decision-making power, budgeting and capital allocation, and key performance indicators to the new realities of the marketplace The Attacker's Advantage provides a stark and simple challenge: stay in a legacy world of incremental gains or defensiveness, or be an attacker by creating a new world, scaling it up quickly, ahead of the traditional players.

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Mountain Emergency Medicine has seen exponential development due to the ever increasing number of people who hike or trek as well as practice extreme sports. Emergency physicians and nurses need to be equipped with the necessary training to be able to manage “on the field” accidents and sicknesses as well as their own physical security. Theoretical knowledge is generally of high level but practical expertise is dangerously lacking in many operators. Furthermore, treatment modalities on the field have not been completely codified and are not supported by internationally-accepted guidelines. This book is the first to offer a complete and thorough approach to this field of Emergency Medicine based on the latest research findings.

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Process engineering emerged at the beginning of the 20th Century and has become an essential scientific discipline for the matter and energy processing industries. Its success is incontrovertible, with the exponential increase in techniques and innovations. Rapid advances in new technologies such as artificial intelligence, as well as current societal needs – sustainable development, climate change, renewable energy, the environment – are developments that must be taken into account in industrial renewal. Process Engineering Renewal 3 presents a prospective analysis that demonstrates the significant disruptions linked to sustainable development, global warming, etc. These constraints may trigger changes in the social regulation system, which in turn applies pressure on actors of process engineering to evolve and adapt to these developments.

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Creating Chaos explores that dark side of statecraft, the covert use of political warfare in international relations – from its early practices during the Great Game between the British and Russian empires, through the Cold War era of ideological confrontation and forward into the hybrid political warfare of the 21st Century. Creating Chaos presents and illustrates the full body of covert and deniable political warfare practices, tracing their historical development and their use by both America and Russia throughout the Cold War and beyond. Using the most current information available, Hancock, a “veteran national security journalist” (Publishers Weekly) examines the evolution of political warfare tools and tactics in the era of the global Internet and ubiquitous social media, evaluating their effectiveness and illustrating the rapidly increasing levels of risk associated with these new and untested cyberwarfare tools. Virtually no books have studied actual political warfare beyond the Cold War, and only a handful have provided any insights into the new and rapidly evolving practices of the Russian Federation or of the political warfare aspect of NGOs or other surrogate actors. A companion volume to Shadow Warfare: The History of America's Undeclared Wars, Creating Chaos introduces the nature and history of political action practices, exploring a number of formerly secret American and Russian hybrid warfare and active measures projects in detail. With that background for context, it then extends those practices into the twenty-first century and contemporary events, evaluating wellestablished practices as they are being used with the newest tools of the global Internet and social media. It demonstrates the exponential increase in their effectiveness—and the equally exponential risk and consequences involved.

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The most useful tool for reviewing mathematical methods for economics classes—now with more contentSchaum’s Outline of Calculus for Business, Economics and Finance, Fourth Edition is the go-to study guide for help in economics courses, mirroring the courses in scope and sequence to help you understand basic concepts and get extra practice in topics like multivariable functions, exponential and logarithmic functions, and more. With an outline format that facilitates quick and easy review, Schaum’s Outline of Calculus for Business, Economics and Finance, Fourth Edition supports the major bestselling textbooks in economics courses and is useful for a variety of classes, including Introduction to Economics, Economics, Econometrics, Microeconomics, Macroeconomics, Economics Theories, Mathematical Economics, Math for Economists and Math for Social Sciences. Chapters include Economic Applications of Graphs and Equations, The Derivative and the Rules of Differentiation, Calculus of Multivariable Functions, Exponential and Logarithmic Functions in Economics, Special Determinants and Matrices and Their Use in Economics, First-Order Differential Equations, and more.Features: NEW in this edition: Additional problems at the end of each chapter NEW in this edition: An additional chapter on sequences and series NEW in this edition: Two computer applications of Linear Programming in Excel 710 fully solved problems Outline format to provide a concise guide for study for standard college courses in mathematical economics Clear, concise explanations covers all course fundamentals Supplements the major bestselling textbooks in economics courses Appropriate for the following courses: Introduction to Economics, Economics, Econometrics, Microeconomics, Macroeconomics, Economics Theories, Mathematical Economics, Math for Economists, Math for Social Sciences

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Process engineering emerged at the beginning of the 20th Century and has become an essential scientific discipline for the matter and energy processing industries. Its success is incontrovertible, with the exponential increase in techniques and innovations. Rapid advances in new technologies such as artificial intelligence, as well as current societal needs – sustainable development, climate change, renewable energy, the environment – are developments that must be taken into account in industrial renewal. Process Engineering Renewal 1 – the first volume of three – focuses on training, demonstrating the need for innovation in order for the field to have a framework that is sustainable, in a highly changeable world.

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The global phenomenon of eSports has experienced exponential growth in recent years, gaining interest from the media, sports and technology industries. Being born digital, global and agile, competitive gaming appeals to a young and emerging audience, and therefore the management of businesses within the eSports industry requires a unique strategy. Presenting a short history of the industry and an overview of its various stakeholders, the author explores how important governing principles have emerged to culminate in a business model network. An insightful read for scholars researching innovation, eBusiness and strategy, this book takes a pioneering approach and examines potential implications for the future of eSports.

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Presents a unified approach to parametric estimation, confidence intervals, hypothesis testing, and statistical modeling, which are uniquely based on the likelihood function This book addresses mathematical statistics for upper-undergraduates and first year graduate students, tying chapters on estimation, confidence intervals, hypothesis testing, and statistical models together to present a unifying focus on the likelihood function. It also emphasizes the important ideas in statistical modeling, such as sufficiency, exponential family distributions, and large sample properties. Mathematical Statistics: An Introduction to Likelihood Based Inference makes advanced topics accessible and understandable and covers many topics in more depth than typical mathematical statistics textbooks. It includes numerous examples, case studies, a large number of exercises ranging from drill and skill to extremely difficult problems, and many of the important theorems of mathematical statistics along with their proofs. In addition to the connected chapters mentioned above, Mathematical Statistics covers likelihood-based estimation, with emphasis on multidimensional parameter spaces and range dependent support. It also includes a chapter on confidence intervals, which contains examples of exact confidence intervals along with the standard large sample confidence intervals based on the MLE's and bootstrap confidence intervals. There’s also a chapter on parametric statistical models featuring sections on non-iid observations, linear regression, logistic regression, Poisson regression, and linear models. Prepares students with the tools needed to be successful in their future work in statistics data science Includes practical case studies including real-life data collected from Yellowstone National Park, the Donner party, and the Titanic voyage Emphasizes the important ideas to statistical modeling, such as sufficiency, exponential family distributions, and large sample properties Includes sections on Bayesian estimation and credible intervals Features examples, problems, and solutions Mathematical Statistics: An Introduction to Likelihood Based Inference is an ideal textbook for upper-undergraduate and graduate courses in probability, mathematical statistics, and/or statistical inference.

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Shift your business model and transform your organization in the face of disruption Business Model Shifts is co-authored by Patrick van Der Pijl, producer of the global bestseller Business Model Generation, and offers a groundbreaking look at the challenging times in which we live, and the real-world solutions needed to conquer the obstacles organizations must now face. Business Model Shifts is a visually stunning guide that examines six fundamental disruptions happening now and spotlights the opportunities that they present: The Services Shift: the move from products to services The Stakeholder Shift: the move from an exclusive shareholder orientation to creating value for all stakeholders, including employees and society The Digital Shift: the move from traditional business operations to 24/7 connection to customers and their needs The Platform Shift: the move from trying to serve everyone, to connecting people who can exchange value on a proprietary platform The Exponential Shift: the move from seeking incremental growth to an exponential mindset that seeks 10x growth The Circular Shift: the move from take-make-dispose towards restorative, regenerative, and circular value creation Filled with case studies, stories, and in-depth analysis based on the work of hundreds of the world’s largest and most intriguing organizations, Business Model Shifts details how these organizations created their own business model shifts in order to create more customer value, and ultimately, a stronger, more competitive business. Whether you’re looking for ways to redesign your business due to the latest needs of the marketplace, launching a new product or service, or simply creating more lasting value for your customers, Business Model Shifts is the essential book that will change the way you think about your business and its future.

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Until now, the growing body of work on environmental anthropology has largely ignored the unavoidable impact of global capitalism on the environment and the extent to which capital itself is a key driver of climate change. Climate, Capitalism and Communities focuses explicitly on that nexus, examining the injustices and inequalities - as well as the activist responses - that have arisen as a result, and the contradictions between the imperatives of exponential economic growth, and those of environmental sustainability, and society as a whole. Bringing an innovative, ethnographic toolkit to bear on a crisis that is at once global and highly localised, the authors shift attention away from the consequences of climate change, to a focus on the social relations and power structures that continue to prevent effective action.

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Over the last 5 years, we have seen the rise of Responsive Nonprofits who committed to drive innovation in the charitable sector. A new breed of growth-oriented nonprofit leaders are beginning to emerge. These innovative leaders are using new tactics and technology to drive exponential impact across their fundraising, marketing, program, and operations teams.  Through hours of conversations with hundreds of the leading innovators in philanthropy, we’ve discovered 8 key practices that responsive nonprofits adopt in order to transform their operations, improve the organizational culture, improve program results, and increase generosity towards their mission. While the practices outlined in this book aren’t new, they combine to provide a playbook for nonprofits dedicated to breaking free from the status quo and driving outsized impact in the world. 

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The Temporal Lobe, Volume 187 covers the exponential growth of studies on the relationships between brain and language/cognition, many of which involved the temporal lobe. This volume summarizes research on the anatomy and function of the temporal lobe under both normal and pathological conditions. In addition, it discusses the interactions of the temporal lobe with other brain structures. The book highlights the role of the temporal lobe in language processing as well as vision, object, face recognition and processing. The book also discusses the temporal lobe's role in reading, speech and the processing of color, music, action and memory. Temporal lobe disorders, assessments and treatments are also covered, including encephalitis, Alzheimer’s, epilepsy, Korsakov’s syndrome, and more.

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In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence". What is it that makes Euler's identity, eiπ + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; π an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.

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The Ruy Lopez is one of the most popular openings of all time. It is a frequent guest in the games of players around the world from novice to Grandmaster. As a result of the increased power of analysis engines the theory of the Ruy Lopez has greatly expanded. Lines that did not exist years ago have been fully developed, supported with extensive analysis, and incorporated into the repertories of top players. Despite this exponential growth in theory, I believe that when armed with sound knowledge it is possible to pose certain practical problems for Black. The purpose of this book is to provide you with detailed and clear explanations of the intricacies of the Ruy Lopez.

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Barron's Regents Exams and Answers: Algebra II provides essential review for students taking the Algebra II exam, including actual exams administered for the course and thorough answer explanations, and comprehensive review of all topics. This edition features: Six actual, administered Regents exams so students have the practice they need to prepare for the test Comprehensive review questions grouped by topic, to help refresh skills learned in class Detailed explanations for all answers Score analysis charts to help identify strengths and weaknesses Study tips and test-taking strategies All algebra II topics are covered, including Polynomial Equations, Rational Equations, Exponential and Logarithmic Equations, Systems of Equations with Three Variables, Functions, Sequences, and Probability.

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In this trailblazing work from the internet’s most empathetic math teacher, Ben Orlin unravels the secrets behind the world’s most confounding language.   Math, it is said, is the 'universal language.” But if a language brings people together, why does math make so many of us feel so alone? In Math for English Majors, bestselling author Ben Orlin (Math with Bad Drawings) offers fresh insights for the mathematically perplexed and mathematical masters alike.   As Orlin reveals, the “universal language” is precisely that: a language. It has nouns (numbers), verbs (calculations), and grammar (algebra). It has funny idioms (“exponential”), quirky etymologies (“squaring”), and peculiar ambiguities (“PEMDAS”). It even has its own form of literature, with equations ranging from the simple wisdom of A2 + B2 = C2 to the startling profundity of eπi + 1 = 0. &

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This unique textbook provides an introduction to statistical inference with network data. The authors present a self-contained derivation and mathematical formulation of methods, review examples, and real-world applications, as well as provide data and code in the R environment that can be customised. Inferential network analysis transcends fields, and examples from across the social sciences are discussed (from management to electoral politics), which can be adapted and applied to a panorama of research. From scholars to undergraduates, spanning the social, mathematical, computational and physical sciences, readers will be introduced to inferential network models and their extensions. The exponential random graph model and latent space network model are paid particular attention and, fundamentally, the reader is given the tools to independently conduct their own analyses.

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This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Pure Mathematics 2 & 3 matches the corresponding units of the syllabus. It clearly indicates materials required for P3 study only, and contains materials on topics such as logarithmic and exponential functions, trigonometry, differentiation, integration, numerical solutions of equations, vectors and complex numbers. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

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Process engineering emerged at the beginning of the 20th Century and has become an essential scientific discipline for the matter and energy processing industries. Its success is incontrovertible, with the exponential increase in techniques and innovations. Rapid advances in new technologies such as artificial intelligence, as well as current societal needs – sustainable development, climate change, renewable energy, the environment – are developments that must be taken into account in industrial renewal. Process Engineering Renewal 2 focuses on research in process engineering, which is partly overshadowed by the sciences that contribute to its development. The external constraints of this interface science must be seen in relation to conservation, sustainable development, global warming, etc., which are linked to current success and the difficulty of taking risks in research.

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In Econometrics the author has provided a text that bridges the gap between classical econometrics (with an emphasis on linear methods such as OLS, GLS and instrumental variables) and some of the key research areas of the last few years, including sampling problems, nonparametric methods and panel data analysis. Designed for advanced undergraduates and postgraduate students of the subject, Econometrics provides rigorous, yet accessible, coverage of the subject. Key features include: * A unified approach to statistical estimation emphasising the analogy (or bootstrap) principle * An introduction to bootstrap and jackknife methods for assessing the accuracy of an estimator * Detailed discussion of nonparametric methods for estimating density and regression of functions * Emphasis on diagnostic procedures and on prediction criteria for evaluating the results fo statistical analysis * An introduction to linear exponential family and generalized linear models * A thorough discussion of robustness in statistical sense

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Recent years have seen many new developments in computational intelligence (CI) techniques and, consequently, this has led to an exponential increase in the number of applications in a variety of areas, including: engineering, finance, social and biomedical. In particular, CI techniques are increasingly being used in biomedical and human movement areas because of the complexity of the biological systems, as well as the limitations of the existing quantitative techniques in modelling. ""Computational Intelligence for Movement Sciences: Neural Networks and Other Emerging Techniques"" contains information regarding state-of-the-art research outcomes and cutting-edge technology from leading scientists and researchers working on various aspects of the human movement. Readers of this book will gain an insight into this field, as well as access to pertinent information, which they will be able to use for continuing research in this area.

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MATHEMATICAL EXCURSIONS, Fourth Edition, teaches you that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands that prime numbers are connected to credit card transactions; that compound interest is connected to student loans; and that the perils of radioactive waste take on new meaning when one understands exponential functions are connected to the disasters at Fukushima, Japan. The efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. These are just a few of the facets of mathematics you will explore with this text. MATHEMATICAL EXCURSIONS will expand the way you know, perceive, and comprehend the world around you. Enjoy the journey!

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A comprehensive look at the world of illicit tradeIn the past three decades, technology has changed the fundamentals of trade, in legitimate and illegal economies. The most advanced forms of illicit trade have broken with all historical precedents and operate as if on steroids, tied to computers and social media. Dark Commerce examines how new technology, communications, and globalization fuel the exponential growth of dangerous forms of illegal trade—the markets for narcotics and child pornography, the escalation of sex trafficking, and the sale of endangered species. The illicit economy exacerbates many of the world’s destabilizing phenomena: the perpetuation of conflicts, the proliferation of arms and weapons of mass destruction, and environmental degradation and extinction. Dark Commerce demonstrates that the dark market is a business the global community cannot afford to ignore.

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This book provides a reference guide for researchers, scientists and industrialists working in the area of soft computing, and highlights the latest advances in and applications of soft computing techniques in multidisciplinary areas. Gathering papers presented at the International Conference on Soft Computing: Theories and Applications (SoCTA 2016), which was held in Jaipur, Rajasthan, India, on December 28–30, 2016, it focuses on applying soft computing to solve real-life problems arising in various domains, from medical and healthcare to supply chain management, image processing and cryptanalysis. The term soft computing represents an umbrella term for computational techniques like fuzzy logic, neural networks and nature inspired algorithms. In the past few decades, there has been an exponential rise in the application of soft computing techniques to address complex and intricate problems in diverse spheres of life. The versatility of these techniques has made them a favourite among scientists and researchers alike.

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The macroeconomics of imperfect competition is a field which has witnessed an almost exponential growth in the last twenty years. The reason for this success is simple as this field combines two important, and hitherto incompatible, features: On one hand, like Walrasian or new classical macroeconomics it has fully rigorous microeconomic foundations. On the other hand, like Keynesian macroeconomics (which itself lacked such foundations) it can produce underemployment of resources and macroeconomic coordination failures. This successful blend of the General Equilibrium, Keynesian and Imperfect Competition traditions has become a most influential paradigm in macroeconomics.Jean-Pascal Benassy, himself the author of several pioneering contributions, has assembled leading articles in the field and written an extensive introduction putting them and other contributions in the area into perspective. This volume will be a basic reference source for professors, students and researchers in this important and rapidly expanding field.

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The quintessential book on the rapidly expanding field of male aesthetic surgery from renowned experts!During the past decade, there has been an exponential increase in the number of men undergoing aesthetic surgery in the U.S., with an estimated 1.3 million procedures performed annually. Male Aesthetic Plastic Surgery by Douglas Steinbrech reflects expertise and insights from one of the most-sought-after pioneers in male surgery, along with a Who's Who of contributing authors. While many texts have been written on female aesthetic surgery, this generously illustrated resource fills a void in the literature. Divided into four sections and 45 chapters, the book reflects the background history and male-centric perspective that sets male aesthetic surgery apart from its female counterpart. Essential steps are detailed for each procedure including the physical exam, anatomical variations, patient selection, preoperative preparations, postoperative care, and invaluable pearls and pitfalls

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A discussion of the basic reliability concepts and models, Reliability Models for Engineers and Scientists demystifies modern mathematical reliability models. Requiring very little mathematical background on the reader’s part, this concise book introduces the models by focusing on their physical meaning and the supporting data; it then goes on to provide a wide scope of possible applications. The book also introduces a new concept of the Gini-type index, which when applied to aging/rejuvenating components (nonrepairable systems) can measure how different a given aging/rejuvenation distribution is compared to the exponential distribution. A similar index is then applied to aging/rejuvenating repairable systems, creating a bridge between the concepts. The chapters discuss models used in reliability, risk analysis, physics of failure, fracture mechanics, biological, pharmaceutical, and medical studies. They comprise an up-to-date, concise, and informative resource on reliability models, which does not require any special mathematical background.

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Gay pornography, online and onscreen, is a controversial and significantly under-researched area of cultural production. In the first book of its kind, Gay Pornography: Representations of Sexuality and Masculinity explores the iconography, themes and ideals that the genre presents. Indeed, John Mercer argues that gay pornography cannot be regarded as one-dimensional, but that it offers its audience a vision of plural masculinities that are more nuanced and ambiguous than they might seem. Mercer examines how the internet has generated an exponential growth in the sheer volume and variety of this material, and facilitated far greater access to it. He uses both professional and amateur examples to explore how gay pornography has become part of a wider cultural context in which modern masculinities have become 'saturated' by their constantly evolving status and function in popular culture.

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