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Gaussian Markov Random Fields: Theory and Applications
by Havard Rue Leonhard HeldGaussian Markov Random Field (GMRF) models are most widely used in spatial statistics - a very active area of research in which few up-to-date reference works are available. This is the first book on the subject that provides a unified framework of GMRFs with particular emphasis on the computational aspects. This book includes extensive case-studie
Gaussian Measures in Finite and Infinite Dimensions (Universitext)
by Daniel W. StroockThis text provides a concise introduction, suitable for a one-semester special topicscourse, to the remarkable properties of Gaussian measures on both finite and infinitedimensional spaces. It begins with a brief resumé of probabilistic results in which Fourieranalysis plays an essential role, and those results are then applied to derive a few basicfacts about Gaussian measures on finite dimensional spaces. In anticipation of the analysisof Gaussian measures on infinite dimensional spaces, particular attention is given to thoseproperties of Gaussian measures that are dimension independent, and Gaussian processesare constructed. The rest of the book is devoted to the study of Gaussian measures onBanach spaces. The perspective adopted is the one introduced by I. Segal and developedby L. Gross in which the Hilbert structure underlying the measure is emphasized.The contents of this book should be accessible to either undergraduate or graduatestudents who are interested in probability theory and have a solid background in Lebesgueintegration theory and a familiarity with basic functional analysis. Although the focus ison Gaussian measures, the book introduces its readers to techniques and ideas that haveapplications in other contexts.
Gaussian Measures in Hilbert Space: Construction and Properties
by Alexander KukushAt the nexus of probability theory, geometry and statistics, a Gaussian measure is constructed on a Hilbert space in two ways: as a product measure and via a characteristic functional based on Minlos-Sazonov theorem. As such, it can be utilized for obtaining results for topological vector spaces. Gaussian Measures contains the proof for Fernique's theorem and its relation to exponential moments in Banach space. Furthermore, the fundamental Feldman-Hájek dichotomy for Gaussian measures in Hilbert space is investigated. Applications in statistics are also outlined. In addition to chapters devoted to measure theory, this book highlights problems related to Gaussian measures in Hilbert and Banach spaces. Borel probability measures are also addressed, with properties of characteristic functionals examined and a proof given based on the classical Banach–Steinhaus theorem. Gaussian Measures is suitable for graduate students, plus advanced undergraduate students in mathematics and statistics. It is also of interest to students in related fields from other disciplines. Results are presented as lemmas, theorems and corollaries, while all statements are proven. Each subsection ends with teaching problems, and a separate chapter contains detailed solutions to all the problems. With its student-tested approach, this book is a superb introduction to the theory of Gaussian measures on infinite-dimensional spaces.
Gaussian Process Models for Quantitative Finance (SpringerBriefs in Quantitative Finance)
by Michael Ludkovski Jimmy RiskThis book describes the diverse applications of Gaussian Process (GP) models in mathematical finance. Spurred by the transformative influence of machine learning frameworks, the text aims to integrate GP modeling into the fabric of quantitative finance. The first half of the book provides an entry point for graduate students, established researchers and quant practitioners to get acquainted with GP methodology. A systematic and rigorous introduction to both GP fundamentals and most relevant advanced techniques is given, such as kernel choice, shape-constrained GPs, and GP gradients. The second half surveys the broad spectrum of GP applications that demonstrate their versatility and relevance in quantitative finance, including parametric option pricing, GP surrogates for optimal stopping, and GPs for yield and forward curve modeling. The book includes online supplementary materials in the form of half a dozen computational Python and R notebooks that provide the reader direct illustrations of the covered material and are available via a public GitHub repository.
Gaussian Process Regression Analysis for Functional Data
by Jian Qing Shi Taeryon ChoiGaussian Process Regression Analysis for Functional Data presents nonparametric statistical methods for functional regression analysis, specifically the methods based on a Gaussian process prior in a functional space. The authors focus on problems involving functional response variables and mixed covariates of functional and scalar variables.Coveri
Gaussian Processes on Trees: From Spin Glasses to Branching Brownian Motion
by Anton BovierBranching Brownian motion (BBM) is a classical object in probability theory with deep connections to partial differential equations. This book highlights the connection to classical extreme value theory and to the theory of mean-field spin glasses in statistical mechanics. Starting with a concise review of classical extreme value statistics and a basic introduction to mean-field spin glasses, the author then focuses on branching Brownian motion. Here, the classical results of Bramson on the asymptotics of solutions of the F-KPP equation are reviewed in detail and applied to the recent construction of the extremal process of BBM. The extension of these results to branching Brownian motion with variable speed are then explained. As a self-contained exposition that is accessible to graduate students with some background in probability theory, this book makes a good introduction for anyone interested in accessing this exciting field of mathematics.
The GCHQ Puzzle Book: Perfect for anyone who likes a good headscratcher
by GCHQSharpen your mind to beat the smartest brains in Britain with the original official GCHQ puzzle bookWould GCHQ recruit you? Pit your wits against the people who cracked Enigma in the official puzzle book from Britain's top secret intelligence and security organisationOver the years, their codebreakers have helped keep our country safe, from the Bletchley Park breakthroughs of WWII to the modern-day threat of cyber attack. So it comes as no surprise that, even in their time off, the staff at GCHQ love a good puzzle.Whether they're recruiting new staff or challenging each other to the toughest Christmas quizzes and treasure hunts imaginable, puzzles are at the heart of what GCHQ does. Now they're opening up their archives of decades' worth of codes, puzzles and challenges for everyone to try.In this book you will find:- Tips on how to get into the mindset of a codebreaker- Puzzles ranging in difficulty from easy to brain-bending- A competition section where we search for Britain's smartest puzzlerWith hundreds of stimulating puzzles, The GCHQ Puzzle Book is the perfect companion and will keep you occupied as you attempt to beat the smartest brains in Britain.GOOD LUCK!'Fiendish . . . as frustrating, divisive and annoying as it is deeply fulfilling' Guardian'Ideal for the crossword enthusiast' Daily TelegraphLooking for more ways to test yourself? The GCHQ Puzzle Book 2, a new collection of head-scratching, mind-boggling and brain-bending puzzles is out now!
The GCHQ Puzzle Book II
by GCHQTrain your brain with these fiendishly difficult puzzles, the perfect companion for anyone wanting to keep their mind busy'Fiendishly tricky' Daily MailWith their first bestselling book, The GCHQ Puzzle Book, the UK's intelligence and security experts tested us with puzzles, codes and real-life entrance tests from their archives.Now, they are back with a NEW collection of head-scratching, mind-boggling and brain-bending puzzles that will leave you pondering for hours.For those who often found themselves stumped with the first book, The GCHQ Puzzle Book 2 offers even more starter puzzles to get those brains warmed up. Puzzle aficionados needn't worry though, as there is also an 'Even Harder' section to test everyone to their limits . . .Not only that, but in celebration of GCHQ's centenary, the puzzles in this new book sit alongside stories, facts and photos from the organisation's first 100 years at the heart of the nation's security. From the Government Code & Cipher School, to Bletchley Park, through to protecting against cyberattacks, the security of our country is in the hands of GCHQ. With this book, you get exclusive snapshots into the organisation that keeps us all safe.Train your brain to compete with the smartest in the country with this stimulating book of puzzles. If you haven't yet tested yourself with the first instalment of The GCHQ Puzzle Book, check it out now!'This is the perfect gift to fuel his ludicrous presumption that he could have definitely been a spy - even better if he's already dog-eared the first version' Huffington Post
GCSE Mathematics - A Pocket Guide for Re-takers and Adults
by Mick PriceAs its title suggests, this book by been devised by author Mick Price as an essential guide for those revisiting Mathematics at GCSE level. Crafted from years of experience and class-tested materials, it serves as a unique revision tool, tailored for both FE college students and adults seeking to improve their previous grades or refresh long-forgotten knowledge. Stripping back the complexities of mathematics, this book focuses on the fundamentals needed to achieve a grade 4, without overwhelming its readers with the entirety of KS4 content. GCSE Mathematics promises accessibility and convenience, making it an indispensable companion for both classroom learning and self-study. Inside, you’ll find a blend of theoretical essentials, practical real-life examples, and exercises designed for both younger and more mature learners, all presented in a straightforward, uncondescending manner. GCSE Mathematics is not just a book: it’s a tool for success, always within reach.
GDP: A Brief but Affectionate History - Revised and expanded Edition
by Diane CoyleHow GDP came to rule our lives—and why it needs to changeWhy did the size of the U.S. economy increase by 3 percent on one day in mid-2013—or Ghana's balloon by 60 percent overnight in 2010? Why did the U.K. financial industry show its fastest expansion ever at the end of 2008—just as the world’s financial system went into meltdown? And why was Greece’s chief statistician charged with treason in 2013 for apparently doing nothing more than trying to accurately report the size of his country’s economy? The answers to all these questions lie in the way we define and measure national economies around the world: Gross Domestic Product. This entertaining and informative book tells the story of GDP, making sense of a statistic that appears constantly in the news, business, and politics, and that seems to rule our lives—but that hardly anyone actually understands.Diane Coyle traces the history of this artificial, abstract, complex, but exceedingly important statistic from its eighteenth- and nineteenth-century precursors through its invention in the 1940s and its postwar golden age, and then through the Great Crash up to today. The reader learns why this standard measure of the size of a country’s economy was invented, how it has changed over the decades, and what its strengths and weaknesses are. The book explains why even small changes in GDP can decide elections, influence major political decisions, and determine whether countries can keep borrowing or be thrown into recession. The book ends by making the case that GDP was a good measure for the twentieth century but is increasingly inappropriate for a twenty-first-century economy driven by innovation, services, and intangible goods.
The GDPR Challenge: Privacy, Technology, and Compliance in an Age of Accelerating Change
by Amie TaalConsent is necessary for collecting, processing and transferring Personal Identifiable Information (PII) and sensitive personal data. But to what extent? What are the limitations and restricts to avoid penalties under The General Data Protection Regulation 2018 (GDPR) rules, which may be up to 4% of annual global turnover or €20 million (whichever is higher), enforcements and sanctions? Under GDPR Article 51, each EU Member State shall maintain an independent public authority to be responsible for monitoring the application of this regulation to protect the fundamental rights of data subjects (Supervisory Authority). The Supervisory Authority has powers to issue warnings, conduct audits, recommend remediation, order erasure of data and suspend data transfers to a third country.GDPR has changed the way data is used, accessed and stored. It's reach extends well beyond the European Union and is the basis of other data privacy laws around the world.This book provides a review and guidance on implementing and compliance of GDPR while taking advantage of technology innovations and supported by real-life examples. The book shows the wide scope of applications to protect data privacy while taking advantage of processes and techniques in various fields such as eDiscovery, Cyber Insurance, Virtual-based Intelligence, Information Security, Cyber Security, Information Governance, Blockchain and Biometric technologies and techniques.
Gears: Volume 1: Geometric and Kinematic Design (Springer Series in Solid and Structural Mechanics #10)
by Vincenzo VulloThe book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes. The cylindrical spur and helical gears are first considered, determining their main geometric quantities in the light of interference and undercut problems, as well as the related kinematic parameters. Particular attention is paid to the profile shift of these types of gears either generated by rack-type cutter or by pinion-rack cutter. Among other things, profile-shifted toothing allows to obtain teeth shapes capable of greater strength and more balanced specific sliding, as well as to reduce the number of teeth below the minimum one to avoid the operating interference or undercut. These very important aspects of geometric-kinematic design of cylindrical spur and helical gears are then generalized and extended to the other examined types of gears most commonly used in practical applications, such as: straight bevel gears; crossed helical gears; worm gears; spiral bevel and hypoid gears. Finally, ordinary gear trains, planetary gear trains and face gear drives are discussed. Includes fully-developed exercises to draw the reader's attention to the problems that are of interest to the designer, as well as to clarify the calculation procedure Topics are addressed from a theoretical standpoint, but in such a way as not to lose sight of the physical phenomena that characterize the various types of gears which are examined The analytical and numerical solutions are formulated so as to be of interest not only to academics, but also to designers who deal with actual engineering problems concerning the gears
Gears: Volume 2: Analysis of Load Carrying Capacity and Strength Design (Springer Series in Solid and Structural Mechanics #11)
by Vincenzo VulloThis book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes. The cylindrical spur and helical gears are first considered, determining their main geometric quantities in the light of interference and undercut problems, as well as the related kinematic parameters. Particular attention is paid to the profile shift of these types of gears either generated by rack-type cutter or by pinion-rack cutter. Among other things, profile-shifted toothing allows to obtain teeth shapes capable of greater strength and more balanced specific sliding, as well as to reduce the number of teeth below the minimum one to avoid the operating interference or undercut. These very important aspects of geometric-kinematic design of cylindrical spur and helical gears are then generalized and extended to the other examined types of gears most commonly used in practical applications, such as straight bevel gears; crossed helical gears; worm gears; spiral bevel and hypoid gears. Finally, ordinary gear trains, planetary gear trains and face gear drives are discussed. This is the most advanced reference guide to the state of the art in gear engineering. Topics are addressed from a theoretical standpoint, but in such a way as not to lose sight of the physical phenomena that characterize the various types of gears which are examined. The analytical and numerical solutions are formulated so as to be of interest not only to academics, but also to designers who deal with actual engineering problems concerning the gears
A Gebra Named Al (Second Edition)
by Wendy IsdellTrouble with her algebra homework leads Julie through a mysterious portal into the Land of Mathematics where a zebra-like friend and horse-like creatures representing scientific elements help her learn about math and chemistry in order to get home.
GED: Mathematics
by Steck-VaughnThe GED Mathematics Test focuses on the practical use of basic arithmetic, algebra, and geometry. You will be tested on your understanding of how to solve a problem and your ability to do the math to find a solution.
GED® Math Test Tutor, 2nd Edition
by Sandra RushREA's GED® Math Test Tutor - Focus on the most challenging part of the GED® test! <P><P>Revised Second Edition <P><P>It's like having your own tutor… <P><P>Each year, test-takers report that the Mathematical Reasoning test is the toughest of all the GED® tests. <P><P>That's why REA offers the most complete guide to success on the GED® Math test. Written by Sandra Rush, a GED® Math tutor and test expert <P><P>- This revised second edition of our best-selling test prep is completely aligned with the content and format of the current GED® test. A comprehensive review covers all the mathematics topics tested on the exam, including fractions, decimals, percentages, algebra, polynomials, scientific notation, and more. Know your way around the TI-30XS MultiView™ calculator <P><P>- A step-by-step tutorial gets you up and running in no time. Helpful hints you need to know - Hundreds of hints, shortcuts, and exercises reinforce key math points, including secrets of rounding, calculating with fractions, knowing the difference between domain and range, a neat way to remember negative and absolute values, and much more!Diagnostic pretest and two full length practice tests <P><P>- A diagnostic pretest with comprehensive feedback helps you pinpoint your strengths and weaknesses. Two full-length practice tests feature every type of question (including drag-and-drop, hot-spot, and drop-down test items), subject area, and skill tested on the GED® Mathematical Reasoning test. Each practice test comes with detailed answer explanations to help you identify where you need extra review.If you're concerned about your math score on the GED®, you need REA's GED® Math Test Tutor!
GED Math Test Tutor, For the 2024-2025 GED Test: Certified GED Content-Aligned Prep (GED® Test Preparation)
by Ms. Sandra RushIf you’re concerned about your math score on the GED test, you need REA’s GED Math Test Tutor!Certified by GED Testing Service to be 100% aligned and up-to-date for today’s GED testWinner of the ProCert Excellence in Education Award for Best-in-Class GED PrepREA’s GED Math Test Tutor (2nd Edition), now available as a fully accessible, reflowable EPUB edition optimized to be read on a wide range of devices. Test-takers report that the Mathematical Reasoning test is the toughest of all the GED subjects. That’s why REA offers the most complete guide to success on the GED Math test. Here’s what’s included: Expert review of every concept covered on the test – REA’s targeted subject review covers all the math topics you’ll see on the exam, including fractions, decimals, percentages, algebra, polynomials, scientific notation, and more. Know your way around the TI-30XS MultiView calculator – A step-by-step tutorial on the official GED calculator gets you up and running in no time. Helpful hints you need to know – Hundreds of hints, shortcuts, and exercises reinforce key math points, including the secrets of rounding, calculating with fractions, how to tell the difference between domain and range, and much more! Diagnostic pretest and two full-length practice tests – A diagnostic pretest with comprehensive feedback helps you pinpoint your strengths and weaknesses. Two full-length practice tests feature every type of question and skill tested on the GED Mathematical Reasoning test. Each practice test comes with detailed solutions to help you pinpoint where you need more review.Get on your way with REA, a trusted GED Publisher Partner recognized by GED Testing Service for developing content that is 100% aligned with the GED test.
GED Test For Dummies
by Jane R. Burstein Murray ShukynScore high on the GED Test In today's job environment, it's usually the better-educated person who gets the position, promotion, or raise. <P><P>Scoring high on the GED Test can give you an edge over the competition—whether it's to get a brand-new job or advance in the one you already have. If you're preparing for the exam and want to increase your odds of scoring higher, GED Test For Dummies gets you up and running with everything you need to know for test day. Inside, you'll find valuable, easy-to-digest information for navigating your way through tests on Language Arts, Social Studies, Mathematical Reasoning, and Science. <P><P>Whether you're looking to perfect your grammar and punctuation skills, put the social in your studies, take the fear out of math and science, get familiar with different types of fiction and nonfiction passages, or answer every multiple-choice question with confidence, <P><P>GED Test For Dummies makes it not only possible, but easy for you to score high on this life-changing exam. <br>Fully updated to reflect the latest version of the GED test Includes two full-length practice tests with answers and detailed explanations <br>Provides vital information and test-taking tips to help maximize your score Includes special considerations for those whose first language isn't English <br> Feel good about yourself knowing that you accomplished something amazing. Get GED Test For Dummies and put yourself on the road to greater success.
GED Test Prep Flash Cards: Arithmetic (Exambusters GED Workbook #5 of 13)
by Ace Inc.<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i><P><P> 600 questions. Topics: Fractions and Decimals, Multiplication Tables, Percents, Metric System, Square Roots and Powers, and more. <P><P> EXAMBUSTERS GED Prep Workbooks provide comprehensive, fundamental GED review--one fact at a time--to prepare students to take practice GED tests. Each GED study guide focuses on one specific subject area covered on the GED exam. From 300 to 600 questions and answers, each volume in the GED series is a quick and easy, focused read. Reviewing GED flash cards is the first step toward more confident GED preparation and ultimately, higher GED exam scores!
GED Test Prep Flash Cards: Geometry (Exambusters GED Workbook #7 of 13)
by Ace Inc.<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i><P><P> 450 questions. Topics: Triangles, Proofs, Perpendicular Lines, Parallel Lines, Quadrilaterals, Circles, Coordinate Geometry, and more. <P><P> EXAMBUSTERS GED Prep Workbooks provide comprehensive, fundamental GED review--one fact at a time--to prepare students to take practice GED tests. Each GED study guide focuses on one specific subject area covered on the GED exam. From 300 to 600 questions and answers, each volume in the GED series is a quick and easy, focused read. Reviewing GED flash cards is the first step toward more confident GED preparation and ultimately, higher GED exam scores!
GED Test Prep Flash Cards: Algebra (Exambusters GED Workbook #6 of 13)
by Ace Inc.<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i><P><P> 450 questions. Topics: Sets, Variables, Exponents, Polynomials, Word Problems, Radicals, Quadratic Equations, and more. <P><P> EXAMBUSTERS GED Prep Workbooks provide comprehensive, fundamental GED review--one fact at a time--to prepare students to take practice GED tests. Each GED study guide focuses on one specific subject area covered on the GED exam. From 300 to 600 questions and answers, each volume in the GED series is a quick and easy, focused read. Reviewing GED flash cards is the first step toward more confident GED preparation and ultimately, higher GED exam scores!
Geekspeak
by Graham TattersallHow big is your vocabulary? How heavy is your house? Do the dead outnumber the living? What are the best words to use in a personal ad? We humans are a curious species, prone to think, ruminate, reflect, cogitate, mull over, and philosophize. We long to explain away the world around us, to answer all those seeming unanswerables: Why are we here? Is there a God? Is there life after death? And, above all, how many houseflies does it take to pull a car? A confirmed and superior geek, Dr. Graham Tattersall has rescued math from the prison of the classroom and put it to use in novel and unexpected ways to explain some oft-pondered mysteries of the world. Geekspeak is an essential tool that will help you exercise your brain and solve the unsolvable, make you sound intelligent so you can impress your friends, and enable you to better understand the fascinating world in which we live in ways never possible before. Math has a new champion, and the geeks a new king.
Gelfand Triples and Their Hecke Algebras: Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups (Lecture Notes in Mathematics #2267)
by Tullio Ceccherini-Silberstein Fabio Scarabotti Filippo TolliThis monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general situation, and only partial results were obtained in the one-dimensional case. Here, for the first time, new interesting and important results are proved. In particular, after developing a general theory (including the study of the associated Hecke algebras and the harmonic analysis of the corresponding spherical functions), two completely new highly nontrivial and significant examples (in the setting of linear groups over finite fields) are examined in full detail. The readership ranges from graduate students to experienced researchers in Representation Theory and Harmonic Analysis.
Gems of Combinatorial Optimization and Graph Algorithms
by Dorothea Wagner Sebastian Stiller Martin Skutella Andreas S. SchulzAre you looking for new lectures for your course on algorithms, combinatorial optimization, or algorithmic game theory? Maybe you need a convenient source of relevant, current topics for a graduate student or advanced undergraduate student seminar? Or perhaps you just want an enjoyable look at some beautiful mathematical and algorithmic results, ideas, proofs, concepts, and techniques in discrete mathematics and theoretical computer science? Gems of Combinatorial Optimization and Graph Algorithms is a handpicked collection of up-to-date articles, carefully prepared by a select group of international experts, who have contributed some of their most mathematically or algorithmically elegant ideas. Topics include longest tours and Steiner trees in geometric spaces, cartograms, resource buying games, congestion games, selfish routing, revenue equivalence and shortest paths, scheduling, linear structures in graphs, contraction hierarchies, budgeted matching problems, and motifs in networks. This volume is aimed at readers with some familiarity of combinatorial optimization, and appeals to researchers, graduate students, and advanced undergraduate students alike.
The Gen Y Handbook
by Diane E. SpiegelWith four generations simultaneously co-habitating today's workplace, miscommunication and dissatisfaction are prevalent. Generation Y is the newest generation to enter our workforce and they pose a whole new set of particularly thorny issues, especially when it is their elders who must manage them. So how can you, as a leader, help them reach their full potential? In The Gen Y Handbook: Applying Relationship Leadership to Engage Millennials Diane Spiegel takes a close look into the workings of the Gen Y mind-how they operate, their strengths, their weaknesses, and how to effectively engage the wide range of abilities at their disposal. The Gen Y Handbook was written to help managers and business leaders avoid the pitfalls that multigenerational workforces can cause, while aiding in the implementation of the best techniques and most efficient ways of utilizing Millennial talent. Spiegel explains the particularities of Generation Y, why they are the way they are, and how to understand these differences without negative judgment.