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.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

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.

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.

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.

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.

The op amp IC has become the universal analog IC because it can perform all analog tasks. OP AMPS FOR EVERYONE provides the theoretical tools and practical know-how to get the most from these versatile devices. This new edition substantially updates coverage for low-speed and high-speed applications, and provides step by step walkthroughs for design and selection of op amps and circuits.* Modular organization allows readers, based on their own background and level of experience, to start at any chapter* written by experts at Texas Instruments and based on real op amps and circuit designs from TI* NEW: large number of new cases for single supply op amp design techniques, including use of web-based design tool* NEW: complete design walk-through for low-speed precision op amp selection and circuit design* NEW: updates, including new techniques, for design for high-speed, low distortion applications.* NEW: extensive new material on filters and filter design, including high-speed filtering for video and data