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Random Facts & Fun Knowledge about the United Kingdom

Random Facts & Fun Knowledge about the United Kingdom

Bill Trivia

Independently Published
2019
nidottu
Do you enjoy travelling? Do you like to read exciting, entertaining, and unbelievable facts? If you answer YES, it's time to grab this book and prepare yourself for tons of fun facts about the UK The United Kingdom is the country of amazing people with lots of unique traditions, historical artefacts, and incredible natural landmarks. No wonder, it has become one of the world's top tourist destinations, even though it's not the cheapest place to travel at. Words can't describe breathtaking coastal views, lovely gardens, splendour of the streets and gastronomic smells of the UK's ancient cities and towns. That's exactly why I recommend you to pack your things and to go visit the United Kingdom at least once in your life. But no matter whether you just dream of visiting the UK, or live there, you'll definitely learn about many new things from this unique collection of family-friendly fun facts. It's a great book for trivia night games, quizes, questions and answers, and believe or not games. It can be especially fun to use in the waiting rooms, at the beach, on vacation, during the long car, train, and airplane trips, and in the places like a public toilet. Every reader will enjoy it, even the child. ORDER NOW
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Random Wisdom

Random Wisdom

Lee Wilkins

Independently Published
2019
pokkari
Random Wisdom is the life testimony of Pastor Lee Wilkins telling how she came to be the person she is now through the love of Christ and the awesome power of God the Father.
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Random Matrix Methods for Wireless Communications

Random Matrix Methods for Wireless Communications

Romain Couillet; Mérouane Debbah

Cambridge University Press
2011
sidottu
Blending theoretical results with practical applications, this book provides an introduction to random matrix theory and shows how it can be used to tackle a variety of problems in wireless communications. The Stieltjes transform method, free probability theory, combinatoric approaches, deterministic equivalents and spectral analysis methods for statistical inference are all covered from a unique engineering perspective. Detailed mathematical derivations are presented throughout, with thorough explanation of the key results and all fundamental lemmas required for the reader to derive similar calculus on their own. These core theoretical concepts are then applied to a wide range of real-world problems in signal processing and wireless communications, including performance analysis of CDMA, MIMO and multi-cell networks, as well as signal detection and estimation in cognitive radio networks. The rigorous yet intuitive style helps demonstrate to students and researchers alike how to choose the correct approach for obtaining mathematically accurate results.
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Random Matrix Theory, Interacting Particle Systems, and Integrable Systems

Random Matrix Theory, Interacting Particle Systems, and Integrable Systems

Cambridge University Press
2014
sidottu
Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and has a wide range of applications in physics, engineering, multivariate statistics and beyond. This volume is based on a Fall 2010 MSRI program which generated the solution of long-standing questions on universalities of Wigner matrices and beta-ensembles and opened new research directions especially in relation to the KPZ universality class of interacting particle systems and low-rank perturbations. The book contains review articles and research contributions on all these topics, in addition to other core aspects of random matrix theory such as integrability and free probability theory. It will give both established and new researchers insights into the most recent advances in the field and the connections among many subfields.
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Random Processes for Engineers

Random Processes for Engineers

Hajek Bruce

Cambridge University Press
2015
sidottu
This engaging introduction to random processes provides students with the critical tools needed to design and evaluate engineering systems that must operate reliably in uncertain environments. A brief review of probability theory and real analysis of deterministic functions sets the stage for understanding random processes, whilst the underlying measure theoretic notions are explained in an intuitive, straightforward style. Students will learn to manage the complexity of randomness through the use of simple classes of random processes, statistical means and correlations, asymptotic analysis, sampling, and effective algorithms. Key topics covered include: • Calculus of random processes in linear systems • Kalman and Wiener filtering • Hidden Markov models for statistical inference • The estimation maximization (EM) algorithm • An introduction to martingales and concentration inequalities. Understanding of the key concepts is reinforced through over 100 worked examples and 300 thoroughly tested homework problems (half of which are solved in detail at the end of the book).
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Random Wireless Networks

Random Wireless Networks

Rahul Vaze

Cambridge University Press
2015
sidottu
This book discusses the theoretical limits of information transfer in random wireless networks or ad hoc networks, where nodes are distributed uniformly in space and there is no centralised control. It provides a detailed analysis of the two relevant notions of capacity for random wireless networks – transmission capacity and throughput capacity. The book starts with the transmission capacity framework that is first presented for the single-hop model and later extended to the multi-hop model with retransmissions. Reusing some of the tools developed for analysis of transmission capacity, a few key long-standing questions about the performance analysis of cellular networks are also provided for the benefit of students. The discussion goes further into the concept of hierarchical co-operation that allows throughput capacity to scale linearly with the number of nodes. The author finally discusses the concept of hierarchical co-operation that allows throughput capacity to scale linearly with the number of nodes.
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Random Sets in Econometrics

Random Sets in Econometrics

Ilya Molchanov; Francesca Molinari

Cambridge University Press
2018
sidottu
Random set theory is a fascinating branch of mathematics that amalgamates techniques from topology, convex geometry, and probability theory. Social scientists routinely conduct empirical work with data and modelling assumptions that reveal a set to which the parameter of interest belongs, but not its exact value. Random set theory provides a coherent mathematical framework to conduct identification analysis and statistical inference in this setting and has become a fundamental tool in econometrics and finance. This is the first book dedicated to the use of the theory in econometrics, written to be accessible for readers without a background in pure mathematics. Molchanov and Molinari define the basics of the theory and illustrate the mathematical concepts by their application in the analysis of econometric models. The book includes sets of exercises to accompany each chapter as well as examples to help readers apply the theory effectively.
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Random Graphs, Geometry and Asymptotic Structure

Random Graphs, Geometry and Asymptotic Structure

Michael Krivelevich; Konstantinos Panagiotou; Mathew Penrose; Colin McDiarmid

Cambridge University Press
2016
sidottu
The theory of random graphs is a vital part of the education of any researcher entering the fascinating world of combinatorics. However, due to their diverse nature, the geometric and structural aspects of the theory often remain an obscure part of the formative study of young combinatorialists and probabilists. Moreover, the theory itself, even in its most basic forms, is often considered too advanced to be part of undergraduate curricula, and those who are interested usually learn it mostly through self-study, covering a lot of its fundamentals but little of the more recent developments. This book provides a self-contained and concise introduction to recent developments and techniques for classical problems in the theory of random graphs. Moreover, it covers geometric and topological aspects of the theory and introduces the reader to the diversity and depth of the methods that have been devised in this context.
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Random Graphs and Complex Networks

Random Graphs and Complex Networks

Remco van der Hofstad

Cambridge University Press
2016
sidottu
This rigorous introduction to network science presents random graphs as models for real-world networks. Such networks have distinctive empirical properties and a wealth of new models have emerged to capture them. Classroom tested for over ten years, this text places recent advances in a unified framework to enable systematic study. Designed for a master's-level course, where students may only have a basic background in probability, the text covers such important preliminaries as convergence of random variables, probabilistic bounds, coupling, martingales, and branching processes. Building on this base - and motivated by many examples of real-world networks, including the Internet, collaboration networks, and the World Wide Web - it focuses on several important models for complex networks and investigates key properties, such as the connectivity of nodes. Numerous exercises allow students to develop intuition and experience in working with the models.
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Random Graphs and Complex Networks: Volume 2

Random Graphs and Complex Networks: Volume 2

Remco van der Hofstad

Cambridge University Press
2024
sidottu
Complex networks are key to describing the connected nature of the society that we live in. This book, the second of two volumes, describes the local structure of random graph models for real-world networks and determines when these models have a giant component and when they are small-, and ultra-small, worlds. This is the first book to cover the theory and implications of local convergence, a crucial technique in the analysis of sparse random graphs. Suitable as a resource for researchers and PhD-level courses, it uses examples of real-world networks, such as the Internet and citation networks, as motivation for the models that are discussed, and includes exercises at the end of each chapter to develop intuition. The book closes with an extensive discussion of related models and problems that demonstratemodern approaches to network theory, such as community structure and directed models.
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Random Sets in Econometrics

Random Sets in Econometrics

Ilya Molchanov; Francesca Molinari

Cambridge University Press
2018
pokkari
Random set theory is a fascinating branch of mathematics that amalgamates techniques from topology, convex geometry, and probability theory. Social scientists routinely conduct empirical work with data and modelling assumptions that reveal a set to which the parameter of interest belongs, but not its exact value. Random set theory provides a coherent mathematical framework to conduct identification analysis and statistical inference in this setting and has become a fundamental tool in econometrics and finance. This is the first book dedicated to the use of the theory in econometrics, written to be accessible for readers without a background in pure mathematics. Molchanov and Molinari define the basics of the theory and illustrate the mathematical concepts by their application in the analysis of econometric models. The book includes sets of exercises to accompany each chapter as well as examples to help readers apply the theory effectively.
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Random Walks and Heat Kernels on Graphs

Random Walks and Heat Kernels on Graphs

Martin T. Barlow

Cambridge University Press
2017
pokkari
This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that are stable under these transformations. Applications include the 'type problem': determining whether a graph is transient or recurrent. The final chapters show how geometric properties of the graph can be used to establish heat kernel bounds, that is, bounds on the transition probabilities of the random walk, and it is proved that Gaussian bounds hold for graphs that are roughly isometric to Euclidean space. Aimed at graduate students in mathematics, the book is also useful for researchers as a reference for results that are hard to find elsewhere.
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Random Recollections of an Old Publisher

Random Recollections of an Old Publisher

William Tinsley

Cambridge University Press
2010
pokkari
William Tinsley (1830–1900) was a noted Victorian publisher whose catalogue included works by such celebrated novelists as Thomas Hardy and Wilkie Collins. This two-volume autobiography, first published in 1900, traces his life from his rural childhood to the establishment and rise of the Tinsley Brothers company in 1858, and its later collapse. Each chapter contains a series of brief sketches of authors and other contemporaries. Volume 1 spans Tinsley's early days and travels to London, along with his first encounters with the publishing world. It includes detailed portraits of Mary Elizabeth Braddon and H. J. Byron, and incorporates material on the development of transport and general commerce in the Victorian era. Based on Tinsley's personal recollections, and incorporating letters as well as anecdotal information, these volumes will fascinate anyone interested in the history of publishing and the development of the nineteenth-century novel.
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Random Recollections of an Old Publisher

Random Recollections of an Old Publisher

William Tinsley

Cambridge University Press
2010
pokkari
William Tinsley (1830–1900) was a noted Victorian publisher whose catalogue included works by such celebrated novelists as Thomas Hardy and Wilkie Collins. This two-volume autobiography, first published in 1900, traces his life from his rural childhood to the establishment and rise of the Tinsley Brothers company in 1858, and its later collapse. Each chapter contains a series of brief sketches of authors and other contemporaries. Volume 2 charts Tinsley's later career, and features several lengthier portraits of some of the personalities he encountered. It also includes information on Victorian playwrights and actors, along with a detailed section on the history of Sadler's Wells theatre. Based on Tinsley's personal recollections, and incorporating letters as well as anecdotal information, these volumes will fascinate anyone interested in the history of publishing and the development of the nineteenth-century novel.
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