[PDF] The Coin Toss eBook

Author : Stefan Hollos
Publisher : Abrazol Publishing
Page : 129 pages
File Size : 28,53 MB
Release : 2012-11-20
Category : Mathematics
ISBN : 1887187081

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The coin toss is really just a metaphor for a random event that has only two possible outcomes. The actual tossing of a real coin is just one way to realize such an event. There are many examples of questions that are equivalent to a coin toss. For example: Will the stock market close up or down tomorrow? Will a die roll come up with an even or odd number? Will we make contact with extraterrestrials within the next ten years? Will a car drive by in the next minute? Will tomorrow be sunny or cloudy? Will my medical test result be negative or positive? Will I enjoy this movie? Will the next joke be funny? Will the Earth's average temperature go up next year?Because a coin toss is equivalent to such a wide variety of questions, the results in this book are widely applicable.Because the coin toss is the simplest random event you can imagine, many questions about coin tossing can be asked and answered in great depth. The simplicity of the coin toss also opens the road to more advanced probability theories dealing with events with an infinite number of possible outcomes.This book is very mathematical. Some knowledge of calculus, discrete math, and generating functions is helpful to get the most out of it. A review of discrete math is provided in the index,

Author : Thomas Lin
Publisher : MIT Press
Page : 331 pages
File Size : 43,83 MB
Release : 2018-11-20
Category : Mathematics
ISBN : 0262536358

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The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine

Author : J. Richard Hollos
Publisher : Abrazol Publishing
Page : 200 pages
File Size : 30,90 MB
Release : 2019-05
Category : Mathematics
ISBN : 9781887187381

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The coin toss is to probability theory what the hydrogen atom is to quantum mechanics. It is the simplest random event that you can imagine. There are only two possible outcomes: heads or tails. This simplicity means that many questions about coin tossing can be asked and answered in great depth, serving as a gateway for exploring probability and statistics, and a foundation for understanding many kinds of probability distributions. This book is an update to the author's original coin toss book (The Coin Toss: Probabilities and Patterns), expanding on run distributions and statistics, as well as a new chapter containing 26 problems and solutions. The page count has increased by over 40 percent. The book contains material for both the beginning student and the advanced researcher. We suspect that the beginner will find some of the material quite difficult and not accessible on a first reading. This is a book that needs to be read more than once. There is more material here than anyone could absorb on a first reading. We hope that researchers on the other hand find the book to be a valuable reference and a stimulus for new research.

Author : Guy Logsdon Books
Publisher :
Page : 190 pages
File Size : 49,31 MB
Release : 2010-12-20
Category : Country music
ISBN : 9780615429090

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The life of Tommy Allsup a great multi-genre guitarist who played the first lead guitar on a Buddy Holly recording, and as a Cricket on February 3 1959 in Clear Lake, Iowa, Tommy finally flipped a coin with Richie Valens, for Valens wanted to take Tommy's place on the fateful plane that crashed and killed Buddy Holly and others. Tommy lost, but won. He became a major record producer, a session man on 6500 recording sessions, a Grammar Music Award winner, the organizer of The Original Texas Playboys and many other outstanding activities and accomplishments in western swing, rock and roll and popular music. He is an Oklahoman of Cherokee Indian descent who has lived in Texas, Los Angeles and Nashville.

Author : Rick Schabowski
Publisher : Henschelhaus Publishing, Incorporated
Page : 0 pages
File Size : 39,26 MB
Release : 2019-04
Category : Sports & Recreation
ISBN : 9781595987198

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Title: From Coin Toss to Champions FROM COIN TOSS TO CHAMPIONS 1971: The Year of the Milwaukee Bucks is the definitive, game-by-game history of the NBA champion Milwaukee Bucks by renowned Wisconsin sports historian Rick Schabowski. This is the in-depth story of how the new Bucks franchise won the rights to negotiate with Lew Alcindor (later Kareem Abdul-Jabbar) by the single flip of a coin, traded for the great Oscar Robertson, and became NBA champs. Pairing The Big and the ascending Lew on a dynamic all-around team, the Bucks fought back fierce challenges all around the NBA, posted a 66-16 regular season record, and nearly coasted to hoisting the NBA championship trophy. The meticulously researched Coin Toss takes the reader through the greatest season so far in Milwaukee professional basketball history with detailed accounts of every game, insights into player, coach and competitor thinking, vital stats, and historic news accounts. In Coin Toss, Schabowski has served up a full menu for traditional Bucks fans who want to relive the championship year, for young fans who want to know about the tradition and excitement that the current Bucks build on, and for true basketball buffs who want to set the record straight. As the new Milwaukee Bucks make believers of everyone, From Coin Toss to Champions is destined to become a classic and a vital part of Milwaukee's, Bucks', and NBA history.

Author : Andrew Gelman
Publisher : OUP Oxford
Page : 353 pages
File Size : 15,78 MB
Release : 2002-08-08
Category : Mathematics
ISBN : 0191606995

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Students in the sciences, economics, psychology, social sciences, and medicine take introductory statistics. Statistics is increasingly offered at the high school level as well. However, statistics can be notoriously difficult to teach as it is seen by many students as difficult and boring, if not irrelevant to their subject of choice. To help dispel these misconceptions, Gelman and Nolan have put together this fascinating and thought-provoking book. Based on years of teaching experience the book provides a wealth of demonstrations, examples and projects that involve active student participation. Part I of the book presents a large selection of activities for introductory statistics courses and combines chapters such as, 'First week of class', with exercises to break the ice and get students talking; then 'Descriptive statistics' , collecting and displaying data; then follows the traditional topics - linear regression, data collection, probability and inference. Part II gives tips on what does and what doesn't work in class: how to set up effective demonstrations and examples, how to encourage students to participate in class and work effectively in group projects. A sample course plan is provided. Part III presents material for more advanced courses on topics such as decision theory, Bayesian statistics and sampling.

Author : Ben Austro
Publisher : Rowman & Littlefield
Page : 241 pages
File Size : 15,71 MB
Release : 2015-09-01
Category : Sports & Recreation
ISBN : 1630760447

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So You Think You Know Football? is the motherlode of NFL rules and their interpretations. Whether you know everything about on- and off-field rules or are a true novice, Austro deftly illustrates the ins and outs of the NFL rulebook using examples from actual games. Test your inner referee with questions about the correct call and how slight changes might affect the ruling. Do you know why spiking the ball immediately to stop the clock is not considered intentional grounding, while hesitating a few seconds then spiking the ball is? See if you would have made the right call in a game played between the Chicago Bears and Oakland Raiders on November 27, 2011—with additional quiz questions from other games involving similar controversies. Keep this book right next to your favorite football-watching chair to consult during the game and visit ThinkYouKnowFootball.com to stay updated on interpretations affected by rule modifications.

Author : Warren Buffett
Publisher : John Wiley & Sons
Page : 272 pages
File Size : 38,56 MB
Release : 2009-12-09
Category : Business & Economics
ISBN : 0470502304

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The proven business principles of Warren Buffett Warren Buffett is one of the most admired and prolific investors and managers in corporate America. Warren Buffett on Business is a timeless guide to strategies that can help you run a successful business. This book is a one-of-a-kind collection of Buffett's letters to the shareholders of Berkshire Hathaway written over the past few decades, and in a clear, simple style distills the basic principles of sound business practices. Through Buffett's own remarkable words, this practical management handbook shares valuable insights on communicating with, and treating employees and shareholders fairly; responsible corporate governance; ethical behavior; patience and perseverance; admitting mistakes; and having a passion for work. Contains priceless pearls of business and management wisdom, woven into a delightful narrative Designed in an accessible manner and organized by business and management topics with strong lessons from Buffett Provides direct, hands-on information on major topics concerning managers, entrepreneurs, business students, and anyone interested in business Informative and inspiring, this unique book puts Warren Buffett's business beliefs in perspective.