Search results for ""Exponential""

Azeem Azhar is the creator of Exponential View, Britain's leading platform for in-depth tech analysis. His weekly newsletter is read by 200,000 people from around the world, and his hit podcast has featured guests including Yuval Noah Harari, Tony Blair and Kate Raworth. A member of the World Economic Forum's Global Futures Council, Azhar contributes to publications including the Financial Times, Wired and the MIT Technology Review.

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First published by Wiley in 1978, this book is being re-issued with a new Preface by the author. The roots of the book lie in the writings of RA Fisher both as concerns results and the general stance to statistical science, and this stance was the determining factor in the author's selection of topics. His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families of probability distributions.

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Unlock explosive growth potential with the true model of modern leadership Thoughtfully Ruthless lays out the secret to rapid business growth by showing you how to magically invent more time, catapult your energy, and boost the productivity of your resources. Author Val Wright has worked with leaders of all stripes—from doctors to musicians to Fortune 50 C-suite executives—to help them unlock their potential and achieve the next level of success. Her experiences have shown time and time again that it's not the economy, or the market conditions, or the competition that's holding your business back. The secret to exponential growth lies within how leaders ruthlessly manage their time, energy, and resources in parallel. Everyone is on a virtual center stage with the whole world watching and reporting every move, leaders need to know how to be ruthless in a thoughtful way. This book shows you how to become that kind of leader, and how to adopt the habits, skills, and practices of some of the most successful business leaders of our time. You'll learn how to become sensibly selfish, how to spend your time and energy, and what issues to delegate or ignore so you can clear your slate to focus on what really matters to you. In a world where rapid growth is the new norm, we have input overload. Leadership is much-lauded but commonly under-practiced in business today. This book is designed to help you shape your leadership to drive business growth, get you promoted faster, and create a life that you love. Recover your time and energy away from black holes Focus on the factors that really impact your business Identify and build the all-star team you need tomorrow—today Create magnetic support and followership Learn the secret to pulling ahead of the competition With all the boardroom handwringing about products, the new consumer, and financial results, it's easy to get sucked into issues that ultimately have only a granular effect on real growth. Thoughtfully Ruthless leadership differentiates remarkable leaders and companies. This book provides a model for growth-oriented leadership, and lays out the essential practices you should start today.

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Praise for BLUEPRINT TO A BILLION "A wonderful, well thought out analysis of entrepreneurship and leadership of a growth company." —Howard Lester, Chairman, Williams-Sonoma, Inc. "If you dream about growing your business to a billion, this is a fascinating down-to-earth study that you must read. Apply the seven essential principles to your business and you are off and running. Learn about strategy, growth, leadership, team building, and a whole lot more." —Joe Scarlett, Chairman of the Board, Tractor Supply Company "Blueprint to a Billion is a well-researched and thoughtfully written book that quantifies the growth pattern of America's highest growth companies." —Professor John Quelch, Senior Associate Dean, Harvard Business School "Eighty percent of the top-performing stocks in the last twenty years were small entrepreneurial companies that had an IPO in the prior eight years. Blueprint to a Billion tells you the seven key things these innovators did in common to become America's greatest growth companies." —William J. O'Neil, Chairman and Founder Investor's Business Daily, www.investors.com "Thomson has written a masterful work that will catalyze, empower, inspire, motivate, and illuminate entrepreneurs, investors, and policymakers. The world needs this book and will profit from it in manifold ways." —David M. Darst, Managing Director, Individual Investor Group Chief Investment Strategist, Morgan Stanley

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This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients, and the theory of one parameter families of exponential sums over finite fields. After reviewing some results from representation theory, the book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G). The final part of the book is devoted to comparison theorems relating G and G of suitably "corresponding" situations, which provide a systematic explanation of the remarkable "coincidences" found "by hand" in the hypergeometric case.

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This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.

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Exponential distribution is one of the most-used distributions in the theory and practice of statistics. It has several important properties like being memoryless and having a constant hazard rate. The field of characterization is developed in different branches of statistics and applied probability. Ordered random variables are common in various applications in practice. In this book, characterizations of exponential distribution using ordered random variables are presented. Most of the known results as well as many new results are given in this book. The aim of the book is to present various characterizations of exponential distribution based on ordered random variables. The book is written on a lower technical level and requires basic knowledge of mathematics and statistics. Chapter 1 gives some basic properties of exponential distribution. Chapters 2, 3, and 4 give the characterization of exponential distribution based on order statistics, record values, and generalized order statistics.

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Create a Business that Runs Itself Going from small business to successful startup to scalable growth takes more than just good luck, it takes a system. Over the last 34 years franchising consultant and growth expert Mark Siebert has been sought out by more than 70,000 executives looking to expanding their company. Out of those 70,000 only 5,000 had the right systems in place to go from successful to scalable. What do these companies have in common? 1. They are good at what they do. Being good at the core of your business that you continue to see a healthy return on your investment. 2. They have a system in place and a manual on hand. Their process is documented and routinely integrated into every aspect of their business, so if someone follows the system the business can virtually run itself.

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This thoughtfully edited volume explores the operation of equality and discrimination law in times of crisis. It aims to understand how existing inequalities are exacerbated in crises and whether equality law has the tools to understand and address this contingency. Experience during the COVID-19 crisis shows that the pandemic has acted as a catalyst for 'exponential inequalities' related to racism, xenophobia, sexism, homophobia, transphobia, ageism, and ableism. Yet, the field of equality law (which is meant to be addressing such discrimination or inequality) has had little immediate relevance in mitigating these exponential inequalities. This is despite the fact that countries like the UK have a rather recent and state-of-the-art legislation in the field, namely the Equality Act 2010. Exponential Inequalities offers readers an understanding of how these inequalities came to be and how crises such as the global pandemic, the climate emergency, or the economic downturn, can exacerbate an already untenable situation. It illuminates both the structural and the conceptual, as well as the practical and doctrinal difficulties currently experienced in equality law, and discusses whether or not equality law even has the tools to both understand and then address this contingency. Written by a team of internationally recognized experts, Exponential Inequalities provides a comparative perspective on the functioning of equality laws across a range of contexts and jurisdictions and represents an essential read for scholars and policy makers alike.

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The book illustrates how managers and knowledge workers can effectively harness collective and artificial intelligence to counteract the effects of exponential change and successfully implement digitization within their organizations. The author applies the proven management principles of Peter F. Drucker to the new challenges of the digital age, enhancing them with the concepts of collective and artificial intelligence. This approach also takes into account the insights of Daniel Kahneman regarding "Thinking, Fast and Slow" and the associated cognitive biases and deficits in human thinking. By leveraging innovative tools – collective and artificial intelligence – these deficits can be mitigated, aiding in decision-making. The use of these tools in innovation management and work organization is also discussed. Readers are provided with practical tips and strategies for implementation. Embark on an exciting journey through digital management practices and successfully navigate the challenges of the digital world.

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Historically, the theory of stability is based on linear differential systems, which are simple and important systems in ordinary differential equations. The research on differential equations and on the theory of stability will, to a certain extent, be influenced by the research on linear differential systems. For differential linear equation systems, there are still many historical open questions attracting mathematicians. This book deals with the theory of linear differential systems developed around the notion of exponential dichotomies. The first author advanced the theory of stability through his research in this field.Several new important results on linear differential systems are presented. They concern exponential dichotomy and the structure of the sets of hyperbolic points. The book has five chapters: Chapter 1 introduces some necessary classical results on the linear differential systems, and the following chapters discuss exponential dichotomy, spectra of almost periodic linear systems, the Floquet theory for quasi periodic linear systems and the structure of sets of hyperbolic points. This book is a very useful reference in the area of the stability theory of ordinary differential equations and the theory of dynamic systems.

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Build a brand that customers love with a proven strategy from one of today’s top advertising executivesYour brand can no longer succeed through targeted adverting and clever messaging. You need to see customers as people rather than just sources of income. This begins with you not only understanding their needs but also sympathizing with their values—and actually doing something about it. In this eye-opening guide, leading advertising executive and industry disruptor Jeff Rosenblum draws on his 25+ years of experience to deliver a plan for building a breakthrough brand by empowering instead of interrupting.Exponential reveals: The neuroscience and behavioral psychology behind building brands through emotional and functional storytelling Hands-on tactics that can strengthen your brand through empathy and empowerment How to use culture and collaboration to understand your customer base and how to reach out to it Filled with data-driven stories of brands that got it right—and those that didn’t—Exponential looks beyond targeted advertising and clever messaging with a powerful prescriptive for turning your prospects into customers and your customers into evangelists.

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This book looks at strategies to help companies become more intelligent, connected, and agile. It discusses how companies can define and measure high-impact outcomes and use effectively analytics technology to achieve them. It also looks at the technology needed to implement the analytics necessary to achieve high-impact outcomes—from both analytics tool and technical infrastructure perspective. Also discussed are ancillary, but critical, topics such as data security and governance that may not traditionally be a part of analytics discussions but are essential in helping companies maintain a secure environment for their analytics and access the quality data they need to gain critical insights and drive better decision-making.

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The Times and Financial Times Book of the Year'Enticing' Sunday Times | 'Engaging' Financial Times | 'Essential' Reid Hoffman___As technology accelerates, the human mind struggles to keep up - and our companies, workplaces and democracies get left behind. This is the exponential gap.Now, a leading technologist explores how this exponential gap is rewiring our world - and reveals how we should respond.___'The sheer might of technology giants is one of the great challenges of our time . . . Azeem Azhar's excellent book Exponential offers some solutions' Amol Rajan, BBC News'Azhar has a knack for interrogating and inverting conventional thinking . . . A convincing case that something extraordinary is taking place in business and society' Economist'Deft and clear-eyed . . . Perhaps Azhar's most valuable insight is that conservatively managing the individual risks posed by new technologies will not suffice' Financial Times'Speaks powerfully about how we need to shape technology to put it back in the service of society' Guardian'Valuable and timely . . . A diligent and comprehensive definition of a new phase in human affairs' Sunday Times

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The normal distribution is widely known and used by scientists and engineers. However, there are many cases when the normal distribution is not appropriate, due to the data being skewed. Rather than leaving you to search through journal articles, advanced theoretical monographs, or introductory texts for alternative distributions, the Handbook of Exponential and Related Distributions for Engineers and Scientists provides a concise, carefully selected presentation of the properties and principles of selected distributions that are most useful for application in the sciences and engineering.The book begins with all the basic mathematical and statistical background necessary to select the correct distribution to model real-world data sets. This includes inference, decision theory, and computational aspects including the popular Bootstrap method. The authors then examine four skewed distributions in detail: exponential, gamma, Weibull, and extreme value. For each one, they discuss general properties and applicability to example data sets, theoretical characterization, estimation of parameters and related inferences, and goodness of fit tests. The final chapter deals with system reliability for series and parallel systems.Presenting methods based on statistical simulations and numerical computations, the Handbook of Exponential and Related Distributions for Engineers and Scientists supplies hands-on tools for applied researchers in need of practical tools for data analysis.

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Schools and school systems are increasingly impacted by global disruptions and rapid changes that create unprecedented challenges and opportunities for their leaders and educators. School leaders need to prepare students for faster changes than ever before, to learn for jobs that have not yet been created and use pedagogically-informed technologies to transform the ways in which teachers, students. and parents relate and collaborate. Current and future technological transformations provide opportunities for transformative change through the potential for connectivity and networking for educators locally, nationally and internationally. This book provides an analysis of the impact of disruptive environments on education. It closely examines and synthesizes international literature on how educational systems in a number of countries are successfully transforming educational delivery processes to better prepare students for an increasingly disrupted world. This invaluable text will prove indispensable for educational professionals and researchers engaged in informing and transforming policy making, leadership training and development, and quality learning and pedagogy in schools.

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IGNITE is your all-access pass to some of the world’s greatest thought leaders on personal growth, marketing, sales, and leadership. Each is interviewed by publisher Paul Feldman, whose monthly magazine has topped rankings in the insurance and financial industry. These intimate conversations are presented like never before, with each one illuminating new ideas that Feldman’s subjects hadn’t revealed in the more than three hundred books they’ve authored and coauthored. Not only do they share specific advice and strategies for producers, advisors, and agents but these dialed-in conversations also reveal inspiration for all aspects of life, in any industry. Whether you’re an entrepreneur, business owner, or employee seeking your way to the top, this book is your entry point to an infinite wealth of tips, strategies, and inspiration—and will ignite all that lies within you to turn your greatest dreams into reality.

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When keeping up with massive amounts of information is part of your job and daily life, how do you transform a feeling of overwhelm to a sense of abundance and empowerment? Discover practical insights and strategies to build a positive relationship with information and excel at work and all your ventures.In Thriving on Overload, Ross Dawson provides simple actionable techniques for staying ahead in an accelerating world. It’s all about choosing to thrive on overload—rather than being overwhelmed by it. He draws on his work as a leading futurist and 25 years of research into the practices that transform a surplus of information into compelling value. Develop the five intertwined powers that, together, enable extraordinary performance: Purpose: understanding why you engage with information enables a healthier relationship that generates success and balance in your life Framing: creating frameworks that connect information into meaningful patterns builds deep knowledge, insight, and world-class expertise Filtering: discerning what information serves us, using an intelligent portfolio of information sources, helps surface valuable signals above the pervasive noise Attention: allocating your awareness with intent, including laser-like focus and serendipitous discovery, maximizes productivity and outcomes Synthesis: expanding our unique capacity to integrate a universe of ideas yields powerful insight, the ability to see opportunities first, and better decisions Discover valuable lessons from some of the world’s most extraordinary “information masters”: entrepreneurs, investors, executives, and researchers who are completely at home in a world awash with information, capable of transforming vast mines of data into the solid gold of insight and effective action. Packed with clear guidance, useful exercises, engaging stories, and handy resources, Thriving on Overload will help you build the capabilities that enable you to outperform your peers and prosper as never before in a world defined by excessive information.

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Frost & Sullivan’s 2014 Growth, Innovation, and Leadership Book of the Year In business, performance is key. In performance, how you organize can be the key to growth. In the past five years, the business world has seen the birth of a new breed of company—the Exponential Organization—that has revolutionized how a company can accelerate its growth by using technology. An ExO can eliminate the incremental, linear way traditional companies get bigger, leveraging assets like community, big data, algorithms, and new technology into achieving performance benchmarks ten times better than its peers. Three luminaries of the business world—Salim Ismail, Yuri van Geest, and Mike Malone—have researched this phenomenon and documented ten characteristics of Exponential Organizations. Here, in EXPONENTIAL ORGANIZATIONS, they walk the reader through how any company, from a startup to a multi-national, can become an ExO, streamline its performance, and grow to the next level. Chosen by Benjamin Netanyahu, Prime Minister of Israel, to be one of Bloomberg's Best Books of 2015

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A practical handbook for using Exponential Organization to transform your organization—and disrupt your industry—in 10 weeks Today’s top business challenge is adapting to accelerating technological and global change. In his bestselling book Exponential Organizations, author Salim Ismail described a new type of organization that thrives amidst industry disruption. Since then, he has helped organizations disrupt their own industries—by applying Exponential Organization (ExO) principles. From this work emerged the 10-week transformation process explained in this book, called the ExO Sprint. Exponential Transformation is the detailed implementation handbook for becoming an Exponential Organization. The book enables organizations to speed up their transformation and overcome the obstacles to success. Lead a 10-week ExO Sprint Evolve in order to navigate industry disruption Become an Exponential Organization Block the immune-system response of organizations during transformation Companies such as Visa, Procter & Gamble, HP, and Black & Decker have already benefited from ExO process. Exponential Transformation is a must-have resource for participants of any ExO Sprint, as well as those seeking to apply Exponential principles in their organizations.

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Mathematical Notes, 29 Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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Praise for The Exponential Era "The Exponential Era turns strategic planning from a stagnant limited application exercise to an active thoughtful process that can yield benefits for all companies and executives. Every company leader can find a gem in the Exponential Era to apply to their business big or small."—Michael Splinter, Chairman of the Board, NASDAQ and Retired Chairman and Chief Executive Officer, Applied Materials "I count this among the very best business books I have read. The authors have managed to synthesize a vast array of thinking and methodologies and deployed them in a practical and easily understood planning process (SPX) that addresses today's exponential pace of change."—James B. Stake, former Executive Vice President, Enterprise Services, 3M Company and Chairman, Ativa Medical Corporation "The Exponential Era is an essential read for our times."—John Puckett, Owner of Punch Pizza and Co-founder of Caribou Coffee "The Exponential Era does a great job of not only describing exponential technologies, but how they likely converge to transform our world."—Frank Diana, Managing Partner, Futurist, TATA Consultancy Services "The Exponential Era is a must-read for business leaders, entrepreneurs, and virtually anyone navigating our highly complex and rapidly changing world."—General (Ret. 4 Star) Joseph L. Votel, President and CEO, Business Executives for National Security (BENS)

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Schools and school systems are increasingly impacted by global disruptions and rapid changes that create unprecedented challenges and opportunities for their leaders and educators. School leaders need to prepare students for faster changes than ever before, to learn for jobs that have not yet been created and use pedagogically-informed technologies to transform the ways in which teachers, students. and parents relate and collaborate. Current and future technological transformations provide opportunities for transformative change through the potential for connectivity and networking for educators locally, nationally and internationally. This book provides an analysis of the impact of disruptive environments on education. It closely examines and synthesizes international literature on how educational systems in a number of countries are successfully transforming educational delivery processes to better prepare students for an increasingly disrupted world. This invaluable text will prove indispensable for educational professionals and researchers engaged in informing and transforming policy making, leadership training and development, and quality learning and pedagogy in schools.

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Continuous Multivariate Distributions, Volume 1, Second Edition provides a remarkably comprehensive, self-contained resource for this critical statistical area. It covers all significant advances that have occurred in the field over the past quarter century in the theory, methodology, inferential procedures, computational and simulational aspects, and applications of continuous multivariate distributions. In-depth coverage includes MV systems of distributions, MV normal, MV exponential, MV extreme value, MV beta, MV gamma, MV logistic, MV Liouville, and MV Pareto distributions, as well as MV natural exponential families, which have grown immensely since the 1970s. Each distribution is presented in its own chapter along with descriptions of real-world applications gleaned from the current literature on continuous multivariate distributions and their applications.

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We live in an age of exponential technology, but this is not so new. Indeed, technological innovation has been promoted so assiduously for so long that there is now a discernible pattern to its emergence known as the Gartner Hype Cycle. Open innovation is no exception. In this book Henry Chesbrough, the originator of open innovation, examines the hype behind its practice, shows where real results are taking place, and explains how companies can move beyond the hype to achieve real business results. The book begins with an exponential paradox; new technologies are emerging at an accelerating rate, yet we continue to see stagnant wages and lagging production. These realities are hard to reconcile with the promise of exponential technologies. A closer look suggests that exponential advocates are paying too little attention to the broad dissemination and absorption of a new technology before it delivers real profit and social benefit. To get valuable results from innovation, businesses must open up their innovation processes and finish more of what they start. They need to open their knowledge flows to generate new growth, and unused internal knowledge must flow openly to others to generate new revenue and future business opportunities. Many of the best known aspects of open innovation such as crowdsourcing, open source software, or innovation intermediaries are often not well connected to the rest of the organization. Using numerous real-world examples of these methods in practice, Chesbrough illustrates how they can, and must, be used in connection to the organization as a whole in order to have real long-term value. Open Innovation Results offers a clear-eyed view of the challenges and realities that limit the ability of organizations to create and profit from innovation. Whether in the largest companies or in a small business, an advanced economy or a rural village, this book charts a course to enhance organizational growth and performance.

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Jinwoo has discovered the true nature of his powers and seen with his own eyes whathe could accomplish with them. But with S-rank dungeon break in Japan and theexponential increase of gate activity all over the world, he’s going to have to figure outhow to control them—fast.

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Cora promises to keep Uncle JB’s Bread Pet alive but didn’t anticipate its exponential growth! She needs to come up with a solution -- and fast! This whimsical STEM story of family, creativity and community will inspire young makers to experiment and share their gifts with others. Includes sourdough starter and sourdough bread recipes.

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Generalized linear models (GLMs) extend linear regression to models with a non-Gaussian, or even discrete, response. GLM theory is predicated on the exponential family of distributions—a class so rich that it includes the commonly used logit, probit, and Poisson models. Although one can fit these models in Stata by using specialized commands (for example, logit for logit models), fitting them as GLMs with Stata’s glm command offers some advantages. For example, model diagnostics may be calculated and interpreted similarly regardless of the assumed distribution.This text thoroughly covers GLMs, both theoretically and computationally, with an emphasis on Stata. The theory consists of showing how the various GLMs are special cases of the exponential family, showing general properties of this family of distributions, and showing the derivation of maximum likelihood (ML) estimators and standard errors. Hardin and Hilbe show how iteratively reweighted least squares, another method of parameter estimation, are a consequence of ML estimation using Fisher scoring.

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Technology Change and the Rise of New Industries explores why new industries emerge at specific moments in time and in certain countries. Part I shows that technologies which experience "exponential" improvements in cost and performance have a greater chance of becoming new industries. When "low-end" discontinuities incur exponential improvements, they often displace the dominant technologies and become "disruptive" innovations. Part II explores this phenomenon and instances in which discontinuities spawn new industries because they impact higher-level systems. Part III addresses a different set of questions—ones that consider the challenges of new industries for firms and governments. Part IV uses ideas from the previous chapters to analyze the present and future of selected technologies. Based on analyses of many industries, including those with an electronic and clean energy focus, this book challenges the conventional wisdom that performance dramatically rises following the emergence of a new technology, that costs fall due to increases in cumulative production, and that low-end innovations automatically become disruptive ones.

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Secrets of the Entrepreneurial Mindset RevealedLearn how curiosity, imagination, and exponential innovation are creating life without limitsNaveen Jain is leading disruptions today that will reshape the world—and beyond. From redefining civilian space exploration to creating a path to free energy to disrupting healthcare and education, Jain is at the forefront of the exponential technology developments that will forever change how we live and work. In Moonshots Jain reveals the secrets of the "super entrepreneur" mindset—the catalyst for creating an exciting and abundant future. He then walks readers through the application of these powerful concepts in three moonshot initiatives that he is leading today, one of which is Moon Express, a private lunar venture that promises to open up the moon's vast resources for the betterment of humanity. In Jain's world, the term "moonshot" is meant both literally and figuratively! Journey with Jain through these illuminating pages and awaken your own moonshot potential. It's a discovery that will change your life—and quite possibly the world.The book cover includes interactive augmented reality features.Named to Kirkus Reviews' Best Books of 2018

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Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW

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Why is Constantine a giant? Because he gave Christians freedom of religion. Yet also because he radically and thoroughly changed our society, in particular church-state relations, thereby creating the opportunity for the Christian community to experience exponential growth. Because his changes in government, law, religion and art and architecture are so enormous we still see the consequences of his decisions to this very day. Because Constantinian history is relevant to everyone.

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Presents a thorough, no-frills introduction to trigonometry in the general context of functions and their graphs. Emphasizes the functional aspect of trigonometry including an introductory chapter on general ideas of functions and graphs. Covers exponential and logarithmic functions and the most important ideas from analytic geometry. Provides a large selection of exercises, half of them answered, ranging in difficulty from simple, straightforward checks on basic concepts, to problems that integrate several ideas and may involve applications. Features cumulative review exercises that cover groups of chapters.

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