The Prime Numbers and Their Distribution PDF Download

Author: Gerald Tenenbaum
Publisher: American Mathematical Soc.
ISBN: 0821816470
Category : Numbers, Prime
Languages : en
Pages : 137

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Book Description
One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness. The book opens with some classic topics of number theory. It ends with a discussion of some of the outstanding conjectures in number theory. In between are an excellent chapter on the stochastic properties of primes and a walk through an elementary proof of the Prime Number Theorem. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians.

Author: L. Kuipers
Publisher: Courier Corporation
ISBN: 0486149994
Category : Mathematics
Languages : en
Pages : 416

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Book Description
The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.

Author: H. Lee Willis
Publisher: CRC Press
ISBN: 9781420030310
Category : Technology & Engineering
Languages : en
Pages : 1246

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Book Description
Providing more than twice the content of the original edition, this new edition is the premier source on the selection, development, and provision of safe, high-quality, and cost-effective electric utility distribution systems, and it promises vast improvements in system reliability and layout by spanning every aspect of system planning including load forecasting, scheduling, performance, and economics. Responding to the evolving needs of electric utilities, Power Distribution Planning Reference Book presents an abundance of real-world examples, procedural and managerial issues, and engineering and analytical methodologies that are crucial to efficient and enhanced system performance.

Author: Kai Wang Ng
Publisher: John Wiley & Sons
ISBN: 1119998417
Category : Mathematics
Languages : en
Pages : 259

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Book Description
The Dirichlet distribution appears in many areas of application, which include modelling of compositional data, Bayesian analysis, statistical genetics, and nonparametric inference. This book provides a comprehensive review of the Dirichlet distribution and two extended versions, the Grouped Dirichlet Distribution (GDD) and the Nested Dirichlet Distribution (NDD), arising from likelihood and Bayesian analysis of incomplete categorical data and survey data with non-response. The theoretical properties and applications are also reviewed in detail for other related distributions, such as the inverted Dirichlet distribution, Dirichlet-multinomial distribution, the truncated Dirichlet distribution, the generalized Dirichlet distribution, Hyper-Dirichlet distribution, scaled Dirichlet distribution, mixed Dirichlet distribution, Liouville distribution, and the generalized Liouville distribution. Key Features: Presents many of the results and applications that are scattered throughout the literature in one single volume. Looks at the most recent results such as survival function and characteristic function for the uniform distributions over the hyper-plane and simplex; distribution for linear function of Dirichlet components; estimation via the expectation-maximization gradient algorithm and application; etc. Likelihood and Bayesian analyses of incomplete categorical data by using GDD, NDD, and the generalized Dirichlet distribution are illustrated in detail through the EM algorithm and data augmentation structure. Presents a systematic exposition of the Dirichlet-multinomial distribution for multinomial data with extra variation which cannot be handled by the multinomial distribution. S-plus/R codes are featured along with practical examples illustrating the methods. Practitioners and researchers working in areas such as medical science, biological science and social science will benefit from this book.

Author: Emily West
Publisher: MIT Press
ISBN: 0262543303
Category : Business & Economics
Languages : en
Pages : 327

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Book Description
How Amazon combined branding and relationship marketing with massive distribution infrastructure to become the ultimate service brand in the digital economy. Amazon is ubiquitous in our daily lives—we stream movies and television on Amazon Prime Video, converse with Alexa, receive messages on our smartphone about the progress of our latest orders. In Buy Now, Emily West examines Amazon’s consumer-facing services to investigate how Amazon as a brand grew so quickly and inserted itself into so many aspects of our lives even as it faded into the background, becoming a sort of infrastructure that can be taken for granted. Amazon promotes the comfort and care of its customers (but not its workers) to become the ultimate service brand in the digital economy. West shows how Amazon has cultivated personalized, intimate relationships with consumers that normalize its outsized influence on our selves and our communities. She describes the brand’s focus on speedy and seamless ecommerce delivery, represented in the materiality of the branded brown box; the positioning of its book retailing, media streaming, and smart speakers as services rather than sales; and the brand’s image control strategies. West considers why pushback against Amazon’s ubiquity and market power has come mainly from among Amazon’s workers rather than its customers or competitors, arguing that Amazon’s brand logic fragments consumers as a political bloc. West’s innovative account, the first to examine Amazon from a critical media studies perspective, offers a cautionary cultural study of bigness in today’s economy.

Author: Rachel Gordon
Publisher: Routledge
ISBN: 100047755X
Category : Performing Arts
Languages : en
Pages : 137

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Book Description
Mapping out a diverse journey through documentary distribution, this book is a comprehensive global how-to reference guide, providing insights into the landscape of documentary distribution; targeting the right audiences to expand the reach of your documentary; and building a sustainable career. Detailing how to prepare your documentary, strategies for crowdfunding, working with documentary organizations and online platforms and outlining the channels to consider, The Documentary Distribution Toolkit demystifies the process of distributing your documentary. Featuring case studies and interviews including filmmaker Alice Elliot, representatives from public television stations such as ARTE, ZDF, Al Jazeera, TRT (Turkey), NHK, as well as drawing on author Rachel Gordon’s over 20 years of experience working in documentary distribution. Foregrounding documentaries for non-profit and educational purposes, each chapter gives guidance on how to think locally and globally, on money matters to consider, and personal questions to answer before proceeding to help filmmakers manage their time, money and energy wisely. This book empowers the filmmaker to distribute their documentary in an effective and strategic manner. Providing concrete advice on how to navigate the documentary ecosystem beyond the classroom, this is the ideal book for professional and emerging documentary filmmakers, as well as students who are looking to distribute their documentary films.

Author: Matthew Adler
Publisher: Oxford University Press
ISBN: 0195384997
Category : Business & Economics
Languages : en
Pages : 656

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Book Description
A comprehensive philosophically grounded argument for the use of social welfare functions as a framework for governmental policy analysis.

Author: Jon Reiss
Publisher: Hybrid Cinema
ISBN: 9780982576205
Category : Business & Economics
Languages : en
Pages : 354

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Book Description
As the digital revolution has democratised film production, a new hybrid model of distribution is the way independent filmmakers can take control of their own distribution. This approach is not just DIY or Web-based - it combines the best techniques from each distribution arena, old and new. In Think Outside the Box Office, Reiss explains audience identification and targeting, negotiating split-rights agreements, the new role of film festivals and more.

Author: James J. Burke
Publisher: CRC Press
ISBN: 1351830457
Category : Technology & Engineering
Languages : en
Pages : 238

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Book Description
"Covering virtually all areas of distribution engineering, this complete reference work examines the unique behavior of utilities and provides the practical knowledge necessary to solve real-world distribution problems. "

Author: David Frederick Ross
Publisher: Springer Science & Business Media
ISBN: 9780412065217
Category : Technology & Engineering
Languages : en
Pages : 808

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Book Description
It has been said that every generation of historians seeks to rewrite what a previous generation had established as the standard interpretations of the motives and circumstances shaping the fabric of historical events. It is not that the facts of history have changed. No one will dispute that the battle of Waterloo occurred on June 11, 1815 or that the allied invasion of Europe began on June 6, 1944. What each new age of historians are attempting to do is to reinterpret the motives of men and the force of circumstance impacting the direction of past events based on the factual, social, intellectual, and cultural milieu of their own generation. By examining the facts of history from a new perspective, today's historians hope to reveal some new truth that will not only illuminate the course of history but also validate contempo rary values and societal ideals. Although it is true that tackling the task of developing a new text on logistics and distribution channel management focuses less on schools of philosophical and social analysis and more on the calculus of managing sales campaigns, inventory replenishment, and income statements, the goal of the management scientist, like the historian, is to merge the facts and figures of the discipline with today's organizational, cultural, and economic realities. Hopefully, the result will be a new synthesis, where a whole new perspective will break forth, exposing new directions and opportunities.