Switching from thin tailed to fat tailed distributions requires more than "changing the color of the dress." Traditional asymptotics deal mainly with either n=1 or n=∞, and the real world is in between, under the "laws of the medium numbers"-which vary widely across specific distributions. Both the law of large numbers and the generalized central limit mechanisms operate in highly idiosyncratic ways outside the standard Gaussian or Levy-Stable basins of convergence. A few examples: - The sample mean is rarely in line with the population mean, with effect on "na�ve empiricism," but can be sometimes be estimated via parametric methods. - The "empirical distribution" is rarely empirical. - Parameter uncertainty has compounding effects on statistical metrics. - Dimension reduction (principal components) fails. - Inequality estimators (Gini or quantile contributions) are not additive and produce wrong results. - Many "biases" found in psychology become entirely rational under more sophisticated probability distributions. - Most of the failures of financial economics, econometrics, and behavioral economics can be attributed to using the wrong distributions. This book, the first volume of the Technical Incerto, weaves a narrative around published journal articles.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    This volume will teach you how to use signing in English sentence format. Signing Made Easy offers the most thorough, step-by-step approach to learning sign language, complete with drills and practice exercises to increase signing ability and understanding.Presented in a large-format, easy-to-follow design, this book includes: - More than 3,500 different signs, with clear illustrations and descriptions- Instructions on how to sign in complete sentences- Exercises for learning how to give and receive signs- Drills to reinforce vocabulary retention- Chapters organized by subject -- from Work and Careers to Family and Social Life to Food --that build progressively on previous lessons- The complete manual alphabet- Spelling exercises throughout- Instructions for forming numbers and inflections- A complete index for easy reference

    Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    Chosen by the editors of the American Heritage Dictionaries, these words will appeal to anyone who wants to be a more compelling communicator—as a worker, consumer, advocate, friend, dinner companion, or even as a romantic prospect.The book includes a colorful variety of words, including handy words of just one syllable (such as glib) and words derived from the names of famous people (such as Freudian slip and Machiavellian).There are expressions from popular culture (Catch-22) and words that date back to classical civilization (spartan and stoic). Each word is clearly defined and shown in context with quotations from contemporary sources: magazines, newspapers, broadcast media, movies, and television. For many words, quotations from distinguished authors and speakers are also given and word histories are explained.Like its predecessors in this successful series, 100 Words to Make You Sound Smart provides an affordable and enjoyable way to communicate more effectively. It offers the coveted gift of gab to anyone who needs to “say it right”—and to anyone who wants to sound more articulate.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    The physical sciences and engineering claim to be the basis of modern technology and therefore of modern life; the social sciences discuss big issues of governance, for example, democracy and taxation; the humanities claim that they revive your soul after it has been deadened by exposure to the physical and social sciences and to engineering. Where does the subject "games of strategy," often also called game theory, fit into this picture, and why should you study it? Dixit and Skeath's Games of Strategy offers a practical motivation much more individual and closer to your personal concerns than most other subjects. You play games of strategy all the time: with your parents, siblings, friends, enemies, even with your professors. You have probably acquired a lot of instinctive expertise, and we hope you will recognize in what follows some of the lessons you have already learned. This book's authors will build on this experience, systematize it, and develop it to the point where you will be able to improve your strategic skills and use them more methodically. Opportunities for such uses will appear throughout the rest of your life; you will go on playing such games with your employers, employees, spouses, children, and even strangers. Not that the subject lacks wider importance. Similar games are played in business, politics, diplomacy, wars--in fact, whenever people interact to strike mutually agreeable deals or to resolve conflicts. Being able to recognize such games will enrich your understanding of the world around you, and will make you a better participant in all its affairs.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    Essays from contemporary nonfiction writers such as Henry Louis Gates, Norma Elia Cant�, Pico Iyer, Joan Didion, and others are integrated directly into the text to illustrate concepts. KEY TOPICS: Individual chapters are devoted to detail and description, characterization and scene, distinctive voice, intimate point-of-view, and the various ways in which writers discover the significance or universality of their work. MARKET: For writers wanting to explore creative nonfiction.

    Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be "computable," creating the field of computability theory in the process, a foundation of present-day computer programming.The book expands Turing's original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing's statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others.Interwoven into the narrative are the highlights of Turing's own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.

    Role of the unconscious in invention; the medium of ideas — do they come to mind in words? in pictures? in mathematical terms? Much more. "It is essential for the mathematician, and the layman will find it good reading." — Library Journal.

    This brilliantly clear and gratifyingly concise treatment of the ancient Greek discipline identifies the illogical in everything from street signs to tax forms. Complete with puzzles you can try yourself, Logic Made Easy invites readers to identify and ultimately remedy logical slips in everyday life. Designed with dozens of visual examples, the book guides you through those hair-raising times when logic is at odds with our language and common sense. Logic Made Easy is indeed one of those rare books that will actually make you a more logical human being.

    Through memorable visuals and honest talk, John Ruszkiewicz shows students how to write in any situation — wherever they are in their writing process.With everything you need to teach composition, the Guide lays out focused advice for writing common genres, while the Reference covers the range of writing and research skills that students need as they work across genres and disciplines. An intuitive, visual cross-referencing system and a modular chapter organization that’s simple to follow make it even easier for students to work back and forth between chapters and stay focused on their own writing.

    are being deprived of the basic knowledge that would enable them to function in contemporary society. Includes 5,000 essential facts to know.

    Particularly suitable for students of secondary-school level, it is also a handy dictionary for the home and office. It covers all the words you need for everyday use, and has excellent coverage of curriculum vocabulary. For the new edition the definitions are clearer than ever before and there is lots of help with those aspects of the language (such as spelling, pronunciation, and usage) which cause most difficulties.In particular, there are hundreds of new spelling notes to help with tricky words that are commonly misspelled, extra usage notes giving advice on good English, and more help with pronunciations of difficult words. A new open design ensures that this dictionary is even more accessible and easier to use than ever before.