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Temporal Patterns of Communication in Social Networks
by Giovanna MiritelloThe main interest of this research has been in understanding and characterizing large networks of human interactions as continuously changing objects. In fact, although many real social networks are dynamic networks whose elements and properties continuously change over time, traditional approaches to social network analysis are essentially static, thus neglecting all temporal aspects. Specifically, we have investigated the role that temporal patterns of human interaction play in three main fields of social network analysis and data mining: characterization of time (or attention) allocation in social networks, prediction of link decay/persistence, and information spreading. In order to address this we analyzed large anonymized data sets of phone call communication traces over long periods of time. Access to these observations was granted by Telefonica Research, Spain. The findings that emerge from our research indicate that the observed heterogeneities and correlations of human temporal patterns of interaction significantly affect the traditional view of social networks, shifting from a very steady to a highly complex entity. Since structure and dynamics are tightly coupled, they cannot be disentangled in the analysis and modeling of human behavior, though traditional models seek to do so. Our results impact not only the way in which social network are traditionally characterized, but more importantly also the understanding and modeling phenomena such as group formation, spread of epidemics, and the dissemination of ideas, opinions and information.
Temporal Quantum Correlations and Hidden Variable Models
by Costantino BudroniIn this thesis, the main approach to the characterization of the set of classical probabilities, the correlation polytope approach, is reviewed for different scenarios, namely, hidden variable models discussed by Bell (local), Kochen and Specker (non-contextual), and Leggett and Garg (macrorealist). Computational difficulties associated with the method are described and a method to overcome them in several nontrivial cases is presented. For the quantum case, a general method to analyze quantum correlations in the sequential measurement scenario is provided, which allows computation of the maximal correlations. Such a method has a direct application for computation of maximal quantum violations of Leggett-Garg inequalities and it is relevant in the analysis of non-contextuality tests. Finally, possible applications of the results for quantum information tasks are discussed.
Ten Animals in Antarctica: A Counting Book
by Moira CourtAntarctica is home to some amazing and unique animals. How many can you count?It's time to meet ten land and sea animals that live in Antarctica! From sailing leopard seals to haunting icefish, young readers will love discovering the many unique animals of our chilliest continent in this beautiful, rhyming counting book.
Ten Billion
by Stephen EmmottA VINTAGE ORIGINALJust over two hundred years ago, there were one billion humans on Earth.There are now over seven billion of us.And, sometime this century, the world population will reach at least ten billion.Deforestation. Desertification. Species extinction. Global warming. Growing threats to food and water. The driving issues of our times are the result of one huge problem: Us. As the population continues to grow, our problems will increase. And this means that every way we look at it, a planet of ten billion people is likely to be a nightmare. Stephen Emmott, a scientist whose lab is at the forefront of research into complex natural systems, sounds the alarm. TEN BILLION is a snapshot of our planet, and our species, approaching a crisis, and a stark analysis of where this leaves us. TEN BILLION is not another climate book. TEN BILLION is a book about us.From the Trade Paperback edition.thing but a "green" book. And it's not another book about the climate. TEN BILLION is a book about us.From the Trade Paperback edition.
Ten Black Dots
by Donald CrewsWhat can you do with ten black dots? "One dot can make a sun or a moon when day is done. Two dots can make the eyes of a fox...."
The Ten Equations That Rule the World: And How You Can Use Them Too
by David SumpterIs there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now.With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn.Empowering and illuminating, The Ten Equations shows how math really can change your life.
Ten Equations to Explain the Mysteries of Modern Astrophysics: From Information and Chaos Theory to Ghost Particles and Gravitational Waves
by Santhosh MathewThis book introduces ten equations that transcend the boundaries of time and space. It takes readers through a journey of self-discovery where they will learn the history, science, and significance of these equations in the context of their lives. Moreover, the mathematical beauty of these equations is presented in a profoundly modest fashion to highlight the idea that equations are eternal but humans are transient. Each chapter offers readers a sublime experience and provides insights into the laws of nature that address the ever-expanding intricacy of our universe. The history of humankind, according to Franz Kafka, is the instant between two strides taken by a traveler. Therefore, what remains eternal when we finish our journey on this tiny rocky planet is our deep desire to connect with everything else in this universe. These equations capture the essence of that aspiration and remain everlasting while we continue our trivial human pursuits. Additionally, these ten equations change the way we live and view the world and will outlast even the most enduring signs of our civilization. They have the potential to take us from planet to planet and perhaps to make us a cosmic species. They can destroy the last strand of DNA to terminate life as we know it and generate life again from the fundamental laws of nature. While these equations are intangible, they can create a tangible world yet remain truly eternal. REVIEWS and WORDS OF PRAISE: In this enlightening, accessible, and brief book each highlighted equation receives a chapter that is an essay on its history and implication. This is a work written for a popular audience. No prerequisite mathematical sophistication is required to appreciate the mathematical beauty of these simple equations and their descriptive potential. It is the equation’s implication, not technical underpinnings, that is explored here. Each equation is a departure point to consider accepted and considered views on the nature of reality.... Reviewed by Tom Schulte on 07/28/2019. Read the rest of the review at The Mathematical Association of America. A fascinating overview of ten equations that describe the richness of reality from the laws of physics that control the physical universe to counting alien civilizations in the biological universe. Using philosophically inspired, yet scientifically accurate language, Santhosh Mathew captures the essence of these fundamental equations and their implications for our understanding of reality as well as what might become of it in the next century. Avi Loeb, Chair of the Astronomy Department, Harvard University and Founding Director, Black Hole Initiative (BHI) One chapter of this book introduces us to the Shannon entropy which underpins information theory. One can derive information only if it is unknown, since what is known is fixed and provides little or no new information. Does the quest for a complete explanation of the laws of physics then reduce the probability of new laws being found and proposed? If more is known about our existence, then will there be fewer future surprises? Physical laws and their mathematical representations express the beauty of our universe and underpin the universe. It is up to us to harness these laws for the greater good and prevent injurious applications. Ishwar K. Puri, Dean and Professor, Faculty of Engineering, McMaster University, Hamilton, Ontario, Canada
Ten Magic Butterflies (McKellar Math)
by Danica McKellarLearn at home with help from The Wonder Years/Hallmark actress, math whiz, and New York Times bestselling author Danica McKellar using her acclaimed McKellar Math books! Fairies, butterflies, and magic help to make this math-focused picture book positively enchanting! Join ten flower friends for a night of excitement that mixes a little math with a lot of magic. As each flower turns into a butterfly, children will discover different ways to group numbers to create ten, an essential building block of math, all while watching each flower's dream come true. (And keep an eye out for the adorable caterpillar who wishes he could fly, too!) In this, the second book in the McKellar Math line, actress, math whiz, and New York Times bestselling author Danica McKellar once again sneaks in secret addition and subtraction concepts to help make your child smarter and uses her proven math success to show children that loving numbers is as easy as a wave of a wand and a BING BANG BOO! "[Danica McKellar's] bringing her love of numbers to children everywhere." --Brightly on Goodnight, Numbers "Danica McKellar is now on a mission to make math fun for even the youngest of kids." --L.A. Parent Magazine
The Ten Most Wanted Solutions in Protein Bioinformatics (Chapman & Hall/CRC Computational Biology Series)
by Anna TramontanoUtilizing high speed computational methods to extrapolate to the rest of the protein universe, the knowledge accumulated on a subset of examples, protein bioinformatics seeks to accomplish what was impossible before its invention, namely the assignment of functions or functional hypotheses for all known proteins.The Ten Most Wanted Solutions in Pro
Ten, Nine, Eight
by Molly BangNine stuffed animals, one sleepy toddler. Numbers from ten to one are part of this lullaby which observes the room of a little girl going to bed.<P><P> Winner of the Caldecott Honor
Ten Projects in Applied Statistics (Springer Series in Statistics)
by Peter McCullaghThe first half of the book is aimed at quantitative research workers in biology, medicine, ecology and genetics. The book as a whole is aimed at graduate students in statistics, biostatistics, and other quantitative disciplines. Ten detailed examples show how the author approaches real-world statistical problems in a principled way that allows for adequate compromise and flexibility. The need to accommodate correlations associated with space, time and other relationships is a recurring theme, so variance-components models feature prominently. Statistical pitfalls are illustrated via examples taken from the recent scientific literature. Chapter 11 sets the scene, not just for the second half of the book, but for the book as a whole. It begins by defining fundamental concepts such as baseline, observational unit, experimental unit, covariates and relationships, randomization, treatment assignment, and the role that these play in model formulation. Compatibility of the model with the randomization scheme is crucial. The effect of treatment is invariably modelled as a group action on probability distributions. Technical matters connected with space-time covariance functions, residual likelihood, likelihood ratios, and transformations are discussed in later chapters.
Ten Sly Piranhas: A Counting Story In Reverse (a Tale Of Wickedness - And Worse!)
by William WiseA school of ten sly piranhas gradually dwindles as they waylay and eat each other.
Ten Times Better
by Leonard Baskin Richard MichelsonRichard Michelson and the late Leonard Baskin show that learning to count and to multiply by ten need never be boring! In a counting book like no other, a variety of animals duel for the honor of the number they represent. Backed up by interesting natural history information, the poems are clever, sometimes even preposterous. Bold watercolors convey the animals' conviction that their number is undoubtedly the best! Children will laugh their way along the road to numerical literacy.
Tennessee Senior Bridge Mathematics
by The Consortium for Foundation Mathematics Robert Blitzer Randall I. CharlesNIMAC-sourced textbook
Tensor Algebra and Tensor Analysis for Engineers
by Mikhail ItskovThere is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book primarily addresses engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises are provided in the book and are accompanied by solutions, enabling self-study. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and are therefore of high interest for PhD-students and scientists working in this area. This third edition is completed by a number of additional figures, examples and exercises. The text and formulae have been revised and improved where necessary.
Tensor Algebra and Tensor Analysis for Engineers: With Applications To Continuum Mechanics (Mathematical Engineering Ser.)
by Mikhail ItskovThis is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
Tensor Analysis
by Fridtjov IrgensThis book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text. Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics.
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers (Mathematical Engineering #21)
by Hung Nguyen-Schäfer Jan-Philip SchmidtThis book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world.The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • General Basis and Bra-Ket Notation• Tensor Analysis• Elementary Differential Geometry• Differential Forms• Applications of Tensors and Differential Geometry• Tensors and Bra-Ket Notation in Quantum MechanicsThe text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics.Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers (Mathematical Engineering)
by Hung Nguyen-Schäfer Jan-Philip SchmidtTensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics and cybernetics.This book comprehensively presents topics, such as bra-ket notation, tensor analysis and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists and practicing engineers.
Tensor Analysis on Manifolds
by Samuel I. Goldberg Richard L. Bishop"This is a first-rate book and deserves to be widely read." -- American Mathematical MonthlyDespite its success as a mathematical tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always had a rather restricted level of use, with an emphasis on notation and the manipulation of indices. This book is an attempt to broaden this point of view at the stage where the student first encounters the subject. The authors have treated tensor analysis as a continuation of advanced calculus, striking just the right balance between the formal and abstract approaches to the subject.The material proceeds from the general to the special. An introductory chapter establishes notation and explains various topics in set theory and topology. Chapters 1 and 2 develop tensor analysis in its function-theoretical and algebraic aspects, respectively. The next two chapters take up vector analysis on manifolds and integration theory. In the last two chapters (5 and 6) several important special structures are studied, those in Chapter 6 illustrating how the previous material can be adapted to clarify the ideas of classical mechanics. The text as a whole offers numerous examples and problems.A student with a background of advanced calculus and elementary differential equation could readily undertake the study of this book. The more mature the reader is in terms of other mathematical knowledge and experience, the more he will learn from this presentation.
Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics)
by C. E. SpringerConcise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra. Additional topics include differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding chapter employs tensor theory to develop the differential equations of geodesics on a surface in several different ways to illustrate further differential geometry.
Tensor-Based Dynamical Systems: Theory and Applications (Synthesis Lectures on Mathematics & Statistics)
by Can ChenThis book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions. Tensors are multidimensional arrays generalized from vectors and matrices, which can capture higher-order interactions within multiway data. In addition, tensors have wide applications in many domains such as signal processing, machine learning, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systems where system evolutions are captured through various tensor products. The author provides an overview of existing literature on the topic and aims to inspire readers to learn, develop, and apply the framework of tensor-based dynamical systems.
Tensor Calculus
by J. L. Synge A. Schild"This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the significant results of the chapter." -- Quarterly of Applied Mathematics. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more.
Tensor Calculus and Analytical Dynamics (Engineering Mathematics Ser. #4)
by John G. PapastavridisTensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints.Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of FrobeniusThe book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.