Exponential

The Times and Financial Times Book of the Year 'Enticing' Sunday Times | 'Engaging' Financial Times | 'Essential' Reid Hoffman | 'Excellent' Amol Rajan, BBC News ___ 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. ___ '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 'Valuable and timely . . . A diligent and comprehensive definition of a new phase in human affairs' Sunday Times

*2021 Financial Times Best Book of the Year* A bold exploration and call-to-arms over the widening gap between AI, automation, and big data—and our ability to deal with its effects We are living in the first exponential age. High-tech innovations are created at dazzling speeds; technological forces we barely understand remake our homes and workplaces; centuries-old tenets of politics and economics are upturned by new technologies. It all points to a world that is getting faster at a dizzying pace. Azeem Azhar, renowned technology analyst and host of the Exponential View podcast, offers a revelatory new model for understanding how technology is evolving so fast, and why it fundamentally alters the world. He roots his analysis in the idea of an “exponential gap” in which technological developments rapidly outpace our society’s ability to catch up. Azhar shows that this divide explains many problems of our time—from political polarization to ballooning inequality to unchecked corporate power. With stunning clarity of vision, he delves into how the exponential gap is a near-inevitable consequence of the rise of AI, automation, and other exponential technologies, like renewable energy, 3D printing, and synthetic biology, which loom over the horizon. And he offers a set of policy solutions that can prevent the growing exponential gap from fragmenting, weakening, or even destroying our societies. The result is a wholly new way to think about technology, one that will transform our understanding of the economy, politics, and the future.

The exponential distribution is one of the most significant and widely used distribution in statistical practice. It possesses several important statistical properties, and yet exhibits great mathematical tractability. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon

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.

This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas. The full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatment on statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data. Aimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.

Exponential smoothing methods have been around since the 1950s, and are still the most popular forecasting methods used in business and industry. However, a modeling framework incorporating stochastic models, likelihood calculation, prediction intervals and procedures for model selection, was not developed until recently. This book brings together all of the important new results on the state space framework for exponential smoothing. It will be of interest to people wanting to apply the methods in their own area of interest as well as for researchers wanting to take the ideas in new directions. Part 1 provides an introduction to exponential smoothing and the underlying models. The essential details are given in Part 2, which also provide links to the most important papers in the literature. More advanced topics are covered in Part 3, including the mathematical properties of the models and extensions of the models for specific problems. Applications to particular domains are discussed in Part 4.

This original volume offers a concise, highly focused review of what high school and beginning college students need to know in order to solve problems in logarithms and exponential functions. Numerous rigorously tested examples and coherent to-the-point explanations, presented in an easy-to-follow format, provide valuable tools for conquering this challenging subject. The treatment is organized in a way that permits readers to advance sequentially or skip around between chapters. An essential companion volume to the author's Attacking Trigonometry Problems, this book will equip students with the skills they will need to successfully approach the problems in logarithms and exponential functions that they will encounter on exams.