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Gateway to the Heavens: How Geometric Shapes, Patterns and Symbols Form Our Reality (Gateway Series #1)
by Karen L. FrenchSimple geometric shapes and symbols combine to make the universal, powerful, sacred model Karen French calls Gateway to the Heavens. In this book, French explains the meaning and purpose of these shapes, how they mold our reality and perception of it and how they have a direct bearing on what you are and why you are here. These shapes and symbols contain messages that have been consistently represented in religion, philosophy, mythology, mysticism, the arts and sciences. Their messages are built into our genetic make-up and we recogniZe them instinctively. The book is divided up into 3 parts. Part 1 covers the properties of the basic geometric shapes and numbers. Part 2 describes how these, in turn, form layers of construction, creating principals that are fundamental to the purpose of the universe; the spiral sustains reality, the cross highlighting the central point of existence and the heart is where we weigh up our choices. Part 3 describes how we can use these principals to create positive change in our lives by helping us to expand our awareness of reality.
Gathering Social Network Data (Quantitative Applications in the Social Sciences #180)
by jimi adamsGathering Social Network Data fills an important gap in the literature by focusing on methods for designing, collecting, and evaluating the data that are the subject of these analytic techniques. Author jimi adams draws on his extensive teaching experience to provide a guide that can be used by both novice and more experienced researchers alike. The volume focuses on principles, with the goal of providing readers the tools needed to develop their own approach to gathering social network data.
Gathering Social Network Data (Quantitative Applications in the Social Sciences #180)
by jimi adamsGathering Social Network Data fills an important gap in the literature by focusing on methods for designing, collecting, and evaluating the data that are the subject of these analytic techniques. Author jimi adams draws on his extensive teaching experience to provide a guide that can be used by both novice and more experienced researchers alike. The volume focuses on principles, with the goal of providing readers the tools needed to develop their own approach to gathering social network data.
Gauge Fields and Strings
by A. M. PolyakovBased on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.
Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics
by Patrick MuldowneyA stand-alone introduction to specific integration problems in the probabilistic theory of stochastic calculus Picking up where his previous book, A Modern Theory of Random Variation, left off, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics introduces readers to particular problems of integration in the probability-like theory of quantum mechanics. Written as a motivational explanation of the key points of the underlying mathematical theory, and including ample illustrations of the calculus, this book relies heavily on the mathematical theory set out in the author’s previous work. That said, this work stands alone and does not require a reading of A Modern Theory of Random Variation in order to be understandable. Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics takes a gradual, relaxed, and discursive approach to the subject in a successful attempt to engage the reader by exploring a narrower range of themes and problems. Organized around examples with accompanying introductions and explanations, the book covers topics such as: Stochastic calculus, including discussions of random variation, integration and probability, and stochastic processes. Field theory, including discussions of gauges for product spaces and quantum electrodynamics. Robust and thorough appendices, examples, illustrations, and introductions for each of the concepts discussed within. An introduction to basic gauge integral theory. The methods employed in this book show, for instance, that it is no longer necessary to resort to unreliable "Black Box" theory in financial calculus; that full mathematical rigor can now be combined with clarity and simplicity. Perfect for students and academics with even a passing interest in the application of the gauge integral technique pioneered by R. Henstock and J. Kurzweil, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics is an illuminating and insightful exploration of the complex mathematical topics contained within.
Gaussian Capacity Analysis (Lecture Notes in Mathematics #2225)
by Dachun Yang Wen Yuan Liguang Liu Jie XiaoThis monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincaré 1-inequality. Applications to function spaces and geometric measures are also presented. This book will be of use to researchers who specialize in potential theory, elliptic differential equations, functional analysis, probability, and geometric measure theory.
Gaussian Harmonic Analysis (Springer Monographs in Mathematics)
by Wilfredo Urbina-RomeroAuthored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory; also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books; also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful.
Gaussian Integrals and their Applications
by Oscar A. NievesGaussian Integrals form an integral part of many subfields of applied mathematics and physics, especially in topics such as probability theory, statistics, statistical mechanics, quantum mechanics and so on. They are essential in computing quantities such as the statistical properties of normal random variables, solving partial differential equations involving diffusion processes, and gaining insight into the properties of particles. In Gaussian Integrals and their Applications, the author has condensed the material deemed essential for undergraduate and graduate students of physics and mathematics, such that for those who are very keen would know what to look for next if their appetite for knowledge remains unsatisfied by the time they finish reading this book. Features A concise and easily digestible treatment of the essentials of Gaussian Integrals Suitable for advanced undergraduates and graduate students in mathematics, physics, and statistics The only prerequisites are a strong understanding of multivariable calculus and linear algebra. Supplemented by numerous exercises (with fully worked solutions) at the end, which pertain to various levels of difficulty and are inspired by different fields in which Gaussian integrals are used.
Gaussian Markov Random Fields: Theory and Applications
by Leonhard Held Havard RueGaussian 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.
Gaṇitānanda: Selected Works of Radha Charan Gupta on History of Mathematics
by K. RamasubramanianThis book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of studies in the history of mathematics. Parts III–VII constituting 33 articles, feature a number of articles on a variety of topics, such as geometry, trigonometry, algebra, combinatorics and spherical trigonometry, which not only reveal the breadth and depth of Professor Gupta’s work, but also highlight his deep commitment to the promotion of studies in the history of mathematics. The ten articles of part VIII, present interesting bibliographical sketches of a few veteran historians of mathematics and astronomy in India. Part IX examines the dissemination of mathematical knowledge across different civilisations. The last part presents an up-to-date bibliography of Gupta’s work. It also includes a tribute to him in Sanskrit composed in eight verses.
GeNeDis 2020: Computational Biology and Bioinformatics (Advances in Experimental Medicine and Biology #1338)
by Panayiotis VlamosThe 4th World Congress on Genetics, Geriatrics and Neurodegenerative Diseases Research (GeNeDis 2020) focuses on the latest major challenges in scientific research, new drug targets, the development of novel biomarkers, new imaging techniques, novel protocols for early diagnosis of neurodegenerative diseases, and several other scientific advances, with the aim of better, safer, and healthier aging. Computational methodologies for implementation on the discovery of biomarkers for neurodegenerative diseases are extensively discussed. This volume focuses on the sessions from the conference regarding computational biology and bioinformatics.
GeNeDis 2022: Computational Biology and Bioinformatics (Advances in Experimental Medicine and Biology #1424)
by Panagiotis VlamosThe 5th World Congress on Genetics, Geriatrics and Neurodegenerative Diseases Research (GeNeDis 2022) focuses on the latest major challenges in scientific research, new drug targets, the development of novel biomarkers, new imaging techniques, novel protocols for early diagnosis of neurodegenerative diseases, and several other scientific advances, with the aim of better, safer, and healthier aging. Computational methodologies for implementation on the discovery of biomarkers for neurodegenerative diseases are extensively discussed. This volume focuses on the sessions from the conference regarding computational biology and bioinformatics.
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
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 Andreas S. Schulz Martin Skutella Sebastian Stiller Dorothea WagnerAre 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.
Gender & Diversity Studies in MINT meets Naturwissenschaftsdidaktik: Synergien und Impulse für eine gender- & diversitätssensible Forschung und Lehre der Naturwissenschaften (Edition Fachdidaktiken)
by Martina Erlemann Sarah HuchGender und dessen Zusammenwirken mit weiteren Diversity-Dimensionen wie etwa soziale Herkunft, ein (zugeschriebener) Migrationshintergrund oder sexuelle Orientierung stehen an Hochschulen verstärkt im Fokus. Gefordert sind dabei auch gender- und diversitysensible Ausrichtungen der Forschung und Lehre der MINT-Fächer sowie der hochschulischen Lehramtsausbildung für MINT. Welche inhaltliche Relevanz haben Gender- und Diversity-Aspekte in Fachkultur, Forschungsinhalten sowie im Wissenschaftsverständnis der Naturwissenschaften? Wie strukturieren Geschlecht und andere soziale Differenzkategorien die Forschung? Wie kann eine Gender- und Diversity-Kompetenzen vermittelnde Lehrer*innenbildung aussehen?Auf diese Fragen geben die interdisziplinären Beiträge der Wissenschaftler*innen, etwa aus Physik, Biologie, Medizin, Feminist Science & Technology Studies sowie die naturwissenschaftlichen Fachdidaktiken Antworten. Ansätze sowie Wissensbestände der Gender & Diversity Studies in MINT werden mit den gender- und diversityausgerichteten Naturwissenschaftsdidaktiken zusammengeführt. Mit vielfältigen Anregungen ermutigen sie zu einer gender- und diversityorientierten Ausrichtung der (eigenen) Forschung und Lehre.
Gender Before Birth in India: Role of Indigenous and Traditional Medicines
by Sutapa Bandyopadhyay NeogiThis book focuses on the role of the indigenous system of medicine or traditional medicines in gender selection in India. Issues such as the harmful effects of traditional practices on the health of the woman and the foetus during early pregnancy are explored in this book. It analyses the social and cultural practices and establishes linkages with modern methods of scientific investigations. It discusses how systematic exploration lends evidence of harmful traditional practices. The book is an important read for researchers, healthcare professionals and students in the field of medicine, public health and social sciences. It is an extremely valuable resource for all those engaged in research of traditional and modern systems of medicine.
Gender Inequalities and Vulnerability of sub-Saharan Adolescents: The Case of Benin (Demographic Transformation and Socio-Economic Development #15)
by Yves Charbit Mustapha OmraneThis book analyses the vulnerability of adolescent girls, which results from cumulative inequalities: gender, lack of education, residential, and poverty. It is based on original analyses of data from the national survey carried out by the National Institute of Statistics and Economic Analysis in collaboration with UNICEF.The book discusses three main themes. First, the experience of adolescence: access to globalization, via access to TIC (Trusted Internet Connections) and mass media; subjective well-being; smoking and alcohol consumption; child discipline and domestic violence are discussed. Secondly, the book focusses on the beginning of fertile life: child marriage; early pregnancy; prenatal care; birth weight and breastfeeding. HIV/AIDS and sexuality.The third theme touches on the potential contribution of adolescents to harvesting the demographic dividend: fertility and contraception; postnatal care and vaccination of children; pre-school learning; education and gender; household health vulnerability (water and sanitation). On the basis of the analyses of data, implications regarding concrete policy measures aimed at reducing the vulnerability of adolescents are identified at the end of each chapter.Through the richness of the analyses and the methodological rigor, this book provides an interesting read to both specialists and non-specialists interested in adolescence and the future of Benin, Africa and beyond.The [basis of the] English translation of this book from its French original manuscript was done with the help of artificial intelligence. A subsequent human revision of the content was done by the author.