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Uniform Distribution of Sequences

Uniform Distribution of Sequences
Author: L. Kuipers
Publisher: Courier Corporation
Total Pages: 416
Release: 2012-05-24
Genre: Mathematics
ISBN: 0486149994

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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.


A Panorama of Discrepancy Theory

A Panorama of Discrepancy Theory
Author: William Chen
Publisher: Springer
Total Pages: 708
Release: 2014-10-07
Genre: Mathematics
ISBN: 3319046969

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This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory. Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.


Data Science

Data Science
Author: Field Cady
Publisher: John Wiley & Sons
Total Pages: 208
Release: 2020-11-25
Genre: Mathematics
ISBN: 1119544165

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Tap into the power of data science with this comprehensive resource for non-technical professionals Data Science: The Executive Summary – A Technical Book for Non-Technical Professionals is a comprehensive resource for people in non-engineer roles who want to fully understand data science and analytics concepts. Accomplished data scientist and author Field Cady describes both the “business side” of data science, including what problems it solves and how it fits into an organization, and the technical side, including analytical techniques and key technologies. Data Science: The Executive Summary covers topics like: Assessing whether your organization needs data scientists, and what to look for when hiring them When Big Data is the best approach to use for a project, and when it actually ties analysts’ hands Cutting edge Artificial Intelligence, as well as classical approaches that work better for many problems How many techniques rely on dubious mathematical idealizations, and when you can work around them Perfect for executives who make critical decisions based on data science and analytics, as well as mangers who hire and assess the work of data scientists, Data Science: The Executive Summary also belongs on the bookshelves of salespeople and marketers who need to explain what a data analytics product does. Finally, data scientists themselves will improve their technical work with insights into the goals and constraints of the business situation.


Beyond Basic Statistics

Beyond Basic Statistics
Author: Kristin H. Jarman
Publisher: John Wiley & Sons
Total Pages: 200
Release: 2015-04-22
Genre: Mathematics
ISBN: 1118856120

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Features basic statistical concepts as a tool for thinking critically, wading through large quantities of information, and answering practical, everyday questions Written in an engaging and inviting manner, Beyond Basic Statistics: Tips, Tricks, and Techniques Every Data Analyst Should Know presents the more subjective side of statistics—the art of data analytics. Each chapter explores a different question using fun, common sense examples that illustrate the concepts, methods, and applications of statistical techniques. Without going into the specifics of theorems, propositions, or formulas, the book effectively demonstrates statistics as a useful problem-solving tool. In addition, the author demonstrates how statistics is a tool for thinking critically, wading through large volumes of information, and answering life’s important questions. Beyond Basic Statistics: Tips, Tricks, and Techniques Every Data Analyst Should Know also features: Plentiful examples throughout aimed to strengthen readers’ understanding of the statistical concepts and methods A step-by-step approach to elementary statistical topics such as sampling, hypothesis tests, outlier detection, normality tests, robust statistics, and multiple regression A case study in each chapter that illustrates the use of the presented techniques Highlights of well-known shortcomings that can lead to false conclusions An introduction to advanced techniques such as validation and bootstrapping Featuring examples that are engaging and non-application specific, the book appeals to a broad audience of students and professionals alike, specifically students of undergraduate statistics, managers, medical professionals, and anyone who has to make decisions based on raw data or compiled results.


Information Theoretic Perspectives on 5G Systems and Beyond

Information Theoretic Perspectives on 5G Systems and Beyond
Author: Ivana Marić
Publisher:
Total Pages: 768
Release: 2022-06-15
Genre: Language Arts & Disciplines
ISBN: 1108271367

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Understand key information-theoretic principles that underpin the design of next-generation cellular systems with this invaluable resource. This book is the perfect tool for researchers and graduate students in the field of information theory and wireless communications, as well as for practitioners in the telecommunications industry.


Epistemic Risk and the Demands of Rationality

Epistemic Risk and the Demands of Rationality
Author: Richard Pettigrew
Publisher: Oxford University Press
Total Pages: 224
Release: 2022-08-17
Genre: Knowledge, Theory of
ISBN: 0192864351

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How much does rationality constrain what we should believe on the basis of our evidence? According to this book, not very much. For most people and most bodies of evidence, there is a wide range of beliefs that rationality permits them to have in response to that evidence. The argument, which takes inspiration from William James' ideas in 'The Will to Believe', proceeds from two premises. The first is a theory about the basis of epistemic rationality. It's called epistemic utility theory, and it says that what it is epistemically rational for you to believe is what it would be rational for you to choose if you were given the chance to pick your beliefs and, when picking them, you were to care only about their epistemic value. So, to say which beliefs are permitted, we must say how to measure epistemic value, and which decision rule to use when picking your beliefs. The second premise is a claim about attitudes to epistemic risk, and it says that rationality permits many different such attitudes. These attitudes can show up in epistemic utility theory in two ways: in the way you measure epistemic value; and in the decision rule you use to pick beliefs. This book explores the latter. The result is permissivism about epistemic rationality: different attitudes to epistemic risk lead to different choices of prior beliefs; given most bodies of evidence, different priors lead to different posteriors; and even once we fix your attitudes to epistemic risk, if they are at all risk-inclined, there is a range of different priors and therefore different posteriors they permit.


Beyond the Uniform Distribution

Beyond the Uniform Distribution
Author: Corrado Benassi
Publisher:
Total Pages: 30
Release: 2015
Genre:
ISBN:

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The paper proves the existence of a subgame perfect Nash equilibrium in a vertically differentiated duopoly with uncovered market, for a large set of symmetric and asymmetric distributions of consumers, including, among others, all logconcave distributions. The proof relies on the 'income share elasticity' representation of the consumers' density function, which ensures the analytical tractability of the firms' optimality conditions at a high level of generality. Some illustrative examples of the solution are offered, in order to assess the impact of distributive shocks on the equilibrium market configuration.


Beyond the Learning Curve

Beyond the Learning Curve
Author: Craig Speelman
Publisher: OUP Oxford
Total Pages: 300
Release: 2005-10-13
Genre: Psychology
ISBN: 0191547115

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For years now, learning has been at the heart of research within cognitive psychology. How do we acquire new knowledge and new skills? Are the principles underlying skill acquisition unique to learning, or similar to those underlying other behaviours? Is the mental system essentially modular, or is the mental system a simple product of experience, a product that, inevitably, reflects the shape of the external world with all of its specialisms and similarities? This new book takes the view that learning is a major influence on the nature of the processes and representations that fill our minds. Throughout, the authors review and consider the areas of skill acquisition and lexical representation to illustrate the effects that practice can have on cognitive processes. They also draw parallels between theories in physical and biological domains to propose not only a new theory of mental function but also demonstrate that the mind is essentially subject to the same natural laws as the physical world. In so doing Speelman and Kirsner present a new perspective on psychology - one that identifies universal principles underlying all behaviours and one which contrasts markedly from our current focus on highly specific behaviours. Accessibly written, Beyond the Learning Curve is a thought provoking and challenging new text for students and researchers in the cognitive sciences.


General Model Independent Searches for Physics Beyond the Standard Model

General Model Independent Searches for Physics Beyond the Standard Model
Author: Saranya Samik Ghosh
Publisher: Springer Nature
Total Pages: 77
Release: 2020-08-13
Genre: Science
ISBN: 3030537838

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This primer describes the general model independent searches for new physics phenomena beyond the Standard Model of particle physics. First, the motivation for performing general model independent experimental searches for new physics is presented by giving an overview of the current theoretical understanding of particle physics in terms of the Standard Model of particle physics and its shortcomings. Then, the concept and features of general model independent search for new physics at collider based experiments is explained. This is followed by an overview of such searches performed in past high energy physics experiments and the current status of such searches, particularly in the context of the experiments at the LHC. Finally, the future prospects of such general model independent searches, with possible improvements using new tools such as machine learning techniques, is discussed.