To determine these patterns, they needed to hear many different examples of authentic speech by various speakers of different ages and in different regions. They eventually discovered that one of the easiest ways to convince older local residents to give them lengthy examples of their natural speech was to ask the residents to tell their favorite stories to the brothers. As the Grimms Brothers recorded the style of speech of the speaker for their research (which eventually led to the formulation of Grimm's Law), they also recorded the various stories that they were told, and eventually published them in 1817.

    This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, least squares estimation, the bivariate normal distribution, and a fairly detailed introduction to Bernoulli, Poisson, and Markov processes. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems. The book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.

    No statistical knowledge is required, and your programming skills can range from hobbyist to pro.Along the way, you'll learn about functional and object-oriented programming, running mathematical simulations, and rearranging complex data into simpler, more useful formats. You'll also learn to: Create artful graphs to visualize complex data sets and functions Write more efficient code using parallel R and vectorization Interface R with C/C++ and Python for increased speed or functionality Find new R packages for text analysis, image manipulation, and more Squash annoying bugs with advanced debugging techniques Whether you're designing aircraft, forecasting the weather, or you just need to tame your data, The Art of R Programming is your guide to harnessing the power of statistical computing.

    They are established tools in a wide range of industrial applications, including search engines, DNA sequencing, stock market analysis, and robot locomotion, and their use is spreading rapidly. People who know the methods have their choice of rewarding jobs. This hands-on text opens these opportunities to computer science students with modest mathematical backgrounds. It is designed for final-year undergraduates and master's students with limited background in linear algebra and calculus. Comprehensive and coherent, it develops everything from basic reasoning to advanced techniques within the framework of graphical models. Students learn more than a menu of techniques, they develop analytical and problem-solving skills that equip them for the real world. Numerous examples and exercises, both computer based and theoretical, are included in every chapter. Resources for students and instructors, including a MATLAB toolbox, are available online.

    The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for shastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes.This book is being published in two volumes. This second volume develops shastic calculus, martingales, risk-neutral pricing, exotic options and term structure models, all in continuous time.Masters level students and researchers in mathematical finance and financial engineering will find this book useful.Steven E. Shreve is Co-Founder of the Carnegie Mellon MS Program in Computational Finance and winner of the Carnegie Mellon Doherty Prize for sustained contributions to education.

    I also hope that it will serve as a useful reference too for the many workers engaged in one type of solid state research activity or another, who may be without formal training in the subject.

    This overview has enabled students to make sense more easily of what instructors are doing when they produce proofs, theorems and formulas.

    Deciding whether to build another power generation plant in the next five years requires forecasts of future demand. Scheduling staff in a call centre next week requires forecasts of call volumes. Stocking an inventory requires forecasts of stock requirements. Telecommunication routing requires traffic forecasts a few minutes ahead. Whatever the circumstances or time horizons involved, forecasting is an important aid in effective and efficient planning. This textbook provides a comprehensive introduction to forecasting methods and presents enough information about each method for readers to use them sensibly. Examples use R with many data sets taken from the authors' own consulting experience.

    Gun law is out of control. Organized gangs are fighting for supremacy in clubland and the lucrative supply of narcotics. Younger, more ruthless gangs are moving in. Ged, Moby and Ratter, three South End villains, are old-fashioned highwaymen with two decades of meticulously planned jobs behind them. But times are tough. It’s Christmas and Ged is planning a job to see the boys through until spring. As usual, he won’t give them any details until the morning of the job. Until then, they have to stay off the street and keep out of trouble.But Moby loves to go out – girls love him, guys send drinks over – he could live like this forever. And Ratter wants out – he’s invested his loot in the booming property sector. As the heist approaches, Ged needs to summon all his street savvy and killer instinct just to survive.

    These images are awesome not just for their beauty alone, but because they suggest an order underlying their growth, a harmony existing in nature. What does it mean that such an order exists; how far does it extend? The Power of Limits was inspired by those simple discoveries of harmony. The author went on to investigate and measure hundreds of patterns—ancient and modern, minute and vast. His discovery, vividly illustrated here, is that certain proportions occur over and over again in all these forms. Patterns are also repeated in how things grow and are made—by the dynamic union of opposites—as demonstrated by the spirals that move in opposite directions in the growth of a plant. The joining of unity and diversity in the discipline of proportional limitations creates forms that are beautiful to us because they embody the principles of the cosmic order of which we are a part; conversely, the limitlessness of that order is revealed by the strictness of its forms. The author shows how we, as humans, are included in the universal harmony of form, and suggests that the union of complementary opposites may be a way to extend that harmony to the psychological and social realms as well.

    The Culture of Connectivity studies the rise of social media in the first decade of the twenty-first century up until 2012, providing both a historical and a critical analysis of the emergence of major platforms in the context of a rapidly changing ecosystem of connective media. Such history is needed to understand how these media have come to profoundly affect our experience of online sociality. The first stage of their development shows a fundamental shift. While most sites started out as amateur-driven community platforms, half a decade later they have turned into large corporations that do not just facilitate user connectedness, but have become global information and data mining companies extracting and exploiting user connectivity. Author and media scholar Jos van Dijck offers an analytical prism to examine techno-cultural as well as socio-economic aspects of this transformation. She dissects five major platforms: Facebook, Twitter, Flickr, YouTube, and Wikipedia. Each of these microsystems occupies a distinct position in the larger ecology of connective media, and yet, their underlying mechanisms for coding interfaces, steering users, and filtering content rely on shared ideological principles. At the level of management and organization, we can also observe striking similarities between these platforms' shifting ownership status, governance strategies, and business models. Reconstructing the premises on which these platforms are built, this study highlights how norms for online interaction and communication gradually changed. "Sharing," "friending," "liking," "following," "trending," and "favoriting" have come to denote online practices imbued with specific technological and economic meanings. This process of normalization, the author argues, is part of a larger political and ideological battle over information control in an online world where everything is bound to become social. Crossing lines of technological, historical, sociological, and cultural inquiry, The Culture of Connectivity will reshape the way we think about interpersonal connection in the digital age.

    His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

    Social Network Analysis: Methods and Applications reviews and discusses methods for the analysis of social networks with a focus on applications of these methods to many substantive examples. As the first book to provide a comprehensive coverage of the methodology and applications of the field, this study is both a reference book and a textbook.

    Premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a solid foundation in statistical theory while conveying the relevance and importance of the theory in solving practical problems in the real world. The authors' use of practical applications and excellent exercises helps readers discover the nature of statistics and understand its essential role in scientific research.