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A friendly and systematic introduction to the theory and applications. The book begins with the sums of independent random variables and vectors, with maximal inequalities and sharp estimates on moments, which are later used to develop and interpret decoupling inequalities. Decoupling is first introduced as it applies to randomly stopped processes and unbiased estimation. The authors then proceed with the theory of decoupling in full generality, paying special attention to comparison and interplay between martingale and decoupling theory, and to applications. These include limit theorems, moment and exponential inequalities for martingales and more general dependence structures, biostatistical implications, and moment convergence in Anscombe's theorem and Wald's equation for U--statistics. Addressed to researchers in probability and statistics and to graduates, the expositon is at the level of a second graduate probability course, with a good portion of the material fit for use in a first year course.
Based on eight years of research visiting dozens of startups, tech companies and incumbents, Harvard Business School professor Thales Teixeira shows how and why consumer industries are disrupted, and what established companies can do about it—while highlighting the specific strategies potential startups use to gain a competitive edge. There is a pattern to digital disruption in an industry, whether the disruptor is Uber, Airbnb, Dollar Shave Club, Pillpack or one of countless other startups that have stolen large portions of market share from industry leaders, often in a matter of a few years. As Teixeira makes clear, the nature of competition has fundamentally changed. Using innovative new business models, startups are stealing customers by breaking the links in how consumers discover, buy and use products and services. By decoupling the customer value chain, these startups, instead of taking on the Unilevers and Nikes, BMW’s and Sephoras of the world head on, peel away a piece of the consumer purchasing process. Birchbox offered women a new way to sample beauty products from a variety of companies from the convenience of their homes, without having to visit a store. Turo doesn't compete with GM. Instead, it offers people the benefit of driving without having to own a car themselves. Illustrated with vivid, indepth and exclusive accounts of both startups, and reigning incumbents like Best Buy and Comcast, as they struggle to respond, Unlocking the Customer Value Chain is an essential guide to demystifying how digital disruption takes place – and what companies can do to defend themselves.
Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.
This book presents a concise, clear, and consistent account of the methodology of phase synchronization, an extension of modal analysis to decouple any linear system in real space. It expounds on the novel theory of phase synchronization and presents recent advances, while also providing relevant background on classical decoupling theories that are used in structural analysis. The theory is illustrated with a broad range of examples. The theoretical development is also supplemented by applications to engineering problems. In addition, the methodology is implemented in a MATLAB algorithm which can be used to solve many of the illustrative examples in the book. This book is suited for researchers, practicing engineers, and graduate students in various fields of engineering, mathematics, and physical science.
"Agricultural protection, particularly in high income countries, have induced overproduction, thereby depressing world commodity prices and reducing export shares of countries which do not support agriculture. One-and perhaps the only-effective way to bring a socially acceptable and politically feasible reform is to replace payments linked to current production levels, input use, and prices by payments which are decoupled from these measures. Overall, the experience with decoupling agricultural support has been mixed while the switch to less distortive support has been uneven across commodities and countries. Rules have changed with new decoupling programs added so expectations about future policies affect current production decisions. Time limits were not implemented and if so, were overruled. Ideally, compensation programs would be universal (open to all sectors in the economy, not just agriculture) or at least non-sector-specific within agriculture. A simple and minimally distorting scheme would be a one-time unconditional payment to everyone engaged in farming or deemed in need of compensation that is nontransferable, along the lines of one-time buyouts without remaining subsidies. To maintain government credibility and reduce uncertainty, eligibility rules need to be clearly defined and not allowed to change. The time period on which payments are based, the level of payments, and the sectors covered should all remain fixed. Support to specific sectors within agriculture should be in the form of taxpayer-funded payments. There should be no requirement of production. Land, labor, and any other input should not have to be in "agricultural use." "--World Bank web site.
For much of recorded history, China was a leading science and technology power. But just as the West rose, China turned in on itself, and missed the Industrial Revolution. The result was the 'Hundred Years of Humiliation', and a long struggle for a modern, yet distinctly Chinese, civilisational identity. Today, technological innovation has returned to the core of national pride and ambition.Since the 1980s, reforms have transformed China into the world's second largest economy and a major global power. Cyber space and other advanced technologies have become a battleground for international dominance; but today's world relies on global supply chains and interstate collaboration--at least, for now. Growing tension between the USA and China could result in the two superpowers decoupling their technology--with significant consequences for humanity's future.The Great Decoupling shows that this technology contest, and how it plays out, will shape the geopolitics of the twenty-first century.
Decoupling or non-interactive control has attracted considerable research attention since the 1960s when control engineers started to deal with multivariable systems. The theory and design techniques for decoupling control have now, more or less matured for linear time-invariant systems, yet there is no single book which focuses on such an important topic. The present monograph fills this gap by presenting a fairly comprehensive and detailed treatment of decoupling theory and relevant design methods. Decoupling control under the framework of polynomial transfer function and frequency response settings, is included as well as the disturbance decoupling problem. The emphasis here is on special or relatively new compensation schemes such as (true and virtual) feedforward control and disturbance observers, rather than use of feedback control alone. The results are presented in a self-contained way and only the knowledge of basic linear systems theory is assumed of the reader.
Linear algebra permeates mathematics, as well as physics and engineering. In this text for junior and senior undergraduates, Sadun treats diagonalization as a central tool in solving complicated problems in these subjects by reducing coupled linear evolution problems to a sequence of simpler decoupled problems. This is the Decoupling Principle. Traditionally, difference equations, Markov chains, coupled oscillators, Fourier series, the wave equation, the Schrodinger equation, and Fourier transforms are treated separately, often in different courses. Here, they are treated as particular instances of the decoupling principle, and their solutions are remarkably similar. By understanding this general principle and the many applications given in the book, students will be able to recognize it and to apply it in many other settings. Sadun includes some topics relating to infinite-dimensional spaces. He does not present a general theory, but enough so as to apply the decoupling principle to the wave equation, leading to Fourier series and the Fourier transform. The second edition contains a series of Explorations. Most are numerical labs in which the reader is asked to use standard computer software to look deeper into the subject. Some explorations are theoretical, for instance, relating linear algebra to quantum mechanics. There is also an appendix reviewing basic matrix operations and another with solutions to a third of the exercises.
This book describes methods for distributing power in high speed, high complexity integrated circuits with power levels exceeding many tens of watts and power supplies below a volt. It provides a broad and cohesive treatment of power distribution systems and related design problems, including both circuit network models and design techniques for on-chip decoupling capacitors, providing insight and intuition into the behavior and design of on-chip power distribution systems. Organized into subareas to provide a more intuitive flow to the reader, this second edition adds more than a hundred pages of new content, including inductance models for interdigitated structures, design strategies for multi-layer power grids, advanced methods for efficient power grid design and analysis, and methodologies for simultaneously placing on-chip multiple power supplies and decoupling capacitors. The emphasis of this additional material is on managing the complexity of on-chip power distribution networks.
This book provides insight into the behavior and design of power distribution systems for high speed, high complexity integrated circuits. Also presented are criteria for estimating minimum required on-chip decoupling capacitance. Techniques and algorithms for computer-aided design of on-chip power distribution networks are also described; however, the emphasis is on developing circuit intuition and understanding the principles that govern the design and operation of power distribution systems.