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Transport of Energetic Electrons in Solids
by Maurizio DaporThis new edition describes all the mechanisms of elastic and inelastic scattering of electrons with the atoms of the target as simple as possible. The use of techniques of quantum mechanics is described in detail for the investigation of interaction processes of electrons with matter. It presents the strategies of the Monte Carlo method, as well as numerous comparisons among the results of the simulations and the experimental data available in the literature. New in this edition is the description of the Mermin theory, a comparison between Mermin theory and Drude theory, a discussion about the dispersion laws, and details about the calculation of the phase shifts that are used in the relativistic partial wave expansion method. The role of secondary electrons in proton cancer therapy is discussed in the chapter devoted to applications. In this context, Monte Carlo results about the radial distribution of the energy deposited in PMMA by secondary electrons generated by energetic proton beams are presented.
Transport of Energetic Electrons in Solids: Computer Simulation with Applications to Materials Analysis and Characterization (Springer Tracts in Modern Physics #271)
by Maurizio DaporThis book describes, as simply as possible, the mechanisms of scattering (both elastic and inelastic) of electrons with solid targets (electron–atom, electron–plasmon, and electron–phonon interactions). It also presents the main strategies of the Monte Carlo method, as well as numerous comparisons between simulation results and the experimental data available in the literature. Furthermore it provides readers with all the information they need in order to write their own Monte Carlo code and to compare the obtained results with the many numerical and experimental examples presented throughout the book. An extended and updated third edition of a work published in 2014 (first edition) and in 2017 (second edition) on the application of the Monte Carlo method to the transport of fast electrons in solids, this book includes, as novel topics, the theory of polarized electron beams (i.e. density matrix and spin polarization), the study of elastic scattering by molecules, a classical treatment of the Bethe-Bloch stopping power, a simple derivation of the f- and ps-sum rules, the Vicanek and Urbassek formula for the calculation of the backscattering coefficient, the Wolff theory describing the secondary electron spectra, and fundamental aspects of the interactions between electrons beams and solid targets. Further, it describes a completely analytical approach (the so-called multiple reflection method) for calculating the absorbed, backscattered, and transmitted fractions of electrons from unsupported and supported thin films. It also discusses recent applications of the Monte Carlo method.
Transport of Energetic Electrons in Solids: Computer Simulation with Applications to Materials Analysis and Characterization (Springer Tracts in Modern Physics #290)
by Maurizio DaporThis book describes the computational methods most frequently used to deal with the interaction of charged particles, notably electrons, with condensed matter. Both elastic and inelastic scattering phenomena are discussed, and methods for calculating the relevant cross sections are explained in a rigorous but simple way. It provides readers with all the information they need in order to write their own Monte Carlo code and to simulate the transport of fast particles in condensed matter. Many numerical and experimental examples are presented throughout the book.The updated and extended fourth edition features ab initio methods for calculating dielectric function and energy loss function. Non-relativistic partial wave expansion method for calculating the differential elastic scattering cross section is also included in this new edition. It represents a very useful introduction to the relativistic partial wave expansion method, i.e., to the Mott theory, already discussed in the previous editions of this book. Further details about the effects of spin-polarization on the differential elastic scattering cross section are included in this new edition. The multiple reflection method is extended to the general case of a system composed of a set of layers of different materials and thicknesses. Analytical expressions are provided for calculating the backscattering coefficient of multilayers. New results are presented, notably about Monte Carlo simulations of reflection electron energy loss spectra and of the radial dose deposited along the track of ions impinging on materials.
Transport Processes and Separation Process Principles (International Series in the Physical and Chemical Engineering Sciences)
by Christie Geankoplis Allen Hersel Daniel LepekTransport Processes and Separation Process Principles, Fifth Edition, offers a unified and up-to-date treatment of momentum, heat, and mass transfer and separations processes. This edition–reorganized and modularized for better readability and to align with modern chemical engineering curricula–covers both fundamental principles and practical applications, and is a key resource for chemical engineering students and professionals alike.
Transport Processes in Space Physics and Astrophysics
by Gary P. Zank Alexander DoschThis is the problems and solution manual for the graduate text with the same title and published as Lecture Notes in Physics Vol 877 which provides the necessary mathematical and physics background to understand the transport of gases, charged particle gases, energetic charged particles, turbulence, and radiation in an astrophysical and space physics context. The very detailed and self-contained problems and solutions will be an essential part of the training of any graduate student wishing to enter and pursuing research in this field.
Transport Properties in Non-Equilibrium and Anomalous Systems
by Dario VillamainaThe study of fluctuations in statistical physics has a long history, and a general theory is well established, connecting fluctuations to response properties of equilibrium systems. Remarkably, this framework fails as soon as some current is flowing across the system, driving it out of equilibrium. The presence of currents is quite common in nature and produces rich phenomena which are far from being included in a general framework. This thesis focuses on this general problem by studying different models such as granular materials and systems exhibiting anomalous diffusion and shows how the generalized response techniques can be successfully used to catch the relevant degrees of freedom that drive the systems out of equilibrium. This study paves the way to the use of the generalized fluctuation relations in an operative way, in order to extract information from a non-equilibrium system and to build the corresponding phenomenological theory.
Transport Theories for Strongly-Interacting Systems: Applications to Heavy-Ion Collisions (Lecture Notes in Physics #989)
by Wolfgang CassingThis book provides an overview on transport theories, focusing on applications and the relativistic off-shell transport theory which are of particular interest for physicists working in the field of relativistic strong-interaction physics, e.g. relativistic or ultra-relativistic heavy-ion collisions or the evolution of the early universe. In this regard, a thorough derivation of the transport equations and a careful analysis of the approximations employed is given. The text is enriched with a multitude of Appendices that partly recall elements of quantum mechanics and field theory or present examples for specific models. Specific exercises are given throughout the chapters. As a basic knowledge the reader should be familiar with quantum mechanics and its principles as well as some basic concepts of the quantum many-body physics and field theory. All chapters close with a short summary and numerical calculations are provided to master and illustrate the subject.
Transport Theory: Invariant Imbedding, and Integral Equations: Proceedings in Honor of G.m. Wing's 65th Birthday
by Paul Nelson V. Faber Thomas A. Manteuffel Daniel L. Seth Andrew B. WhiteThis book includes seminal papers on technical subjects—transport theory, invariant imbedding, and integral equations—presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.
Transportation for the Elderly: Changing Lifestyles, Changing Needs
by Martin WachsThis title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1979.
Transportation Research in India: Practices and Future Directions
by Akhilesh Kumar Maurya Lelitha Devi Vanajakshi Shriniwas S. Arkatkar Prasanta K. SahuThis co-edited book focuses on the state-of-the-art research in transportation in India. Exploring the need for a sustainable transport paradigm in India, this timely book offers solution concepts for mobility and infrastructure challenges faced by local, state, and national transport authorities. The contents provide a holistic understanding of the paradigm, considering several case-studies and study findings from the leading transportation researchers in India. At the same time, it also addresses the pressing transportation related challenges such as road user safety, traffic operation efficiency, economic and social development, non-motorized transport planning, environmental impact mitigation, energy consumption reduction, land-use, equity, freight transport planning, multimodal coordination, access for the diverse range of travellers’ needs, sustainable pavement construction, and emerging vehicle technologies. The existing practices and policies in all the sectors and levels of transport are highlighted in this book with an emphasis on a broader vision for achieving sustainable and inclusive development. The information and data-driven inferences compiled in the book will be useful for practitioners, policymakers, educators, researchers, students, and individual learners.
Transportation Statistics and Microsimulation
by Clifford Spiegelman Eun Sug Park Laurence R. RilettBy discussing statistical concepts in the context of transportation planning and operations, Transportation Statistics and Microsimulation provides the necessary background for making informed transportation-related decisions. It explains the why behind standard methods and uses real-world transportation examples and problems to illustrate key conc
Transversals in Linear Uniform Hypergraphs (Developments in Mathematics #63)
by Michael A. Henning Anders YeoThis book gives the state-of-the-art on transversals in linear uniform hypergraphs. The notion of transversal is fundamental to hypergraph theory and has been studied extensively. Very few articles have discussed bounds on the transversal number for linear hypergraphs, even though these bounds are integral components in many applications. This book is one of the first to give strong non-trivial bounds on the transversal number for linear hypergraphs. The discussion may lead to further study of those problems which have not been solved completely, and may also inspire the readers to raise new questions and research directions. The book is written with two readerships in mind. The first is the graduate student who may wish to work on open problems in the area or is interested in exploring the field of transversals in hypergraphs. This exposition will go far to familiarize the student with the subject, the research techniques, and the major accomplishments in the field. The photographs included allow the reader to associate faces with several researchers who made important discoveries and contributions to the subject. The second audience is the established researcher in hypergraph theory who will benefit from having easy access to known results and latest developments in the field of transversals in linear hypergraphs.
A Trapezoid Is Not a Dinosaur!
by Suzanne MorrisIn this wildly amusing, unconventional shape concept book, Trapezoid is here to declare that he's a shape, too. He's NOT a type of dinosaur!Shape up, shapes! Triangle is hosting auditions for all the best shapes to be in his play. Circle, Square, and Star each get a part. But Trapezoid just doesn't "fit in." Is he even a shape? The others think he sounds like a type of dinosaur. Determined to show off his usefulness, Trapezoid tries to act like the other shapes, to no avail. Eventually, though, Trapezoid celebrates his own distinct shape properties in order to become part of the performance.
Travel Behavior Characteristics Analysis Technology Based on Mobile Phone Location Data: Methodology and Empirical Research
by Fei Yang Zhenxing YaoThis book is devoted to the technology and methodology of individual travel behavior analysis and refined travel information extraction. Traditional resident trip surveys are characterized by many shortcomings, such as subjective memory errors, difficulty in organization and high cost. Therefore, in this book, a set of refined extraction and analysis techniques for individual travel activities is proposed. It provides a solid foundation for the optimization and reconstruction of traffic theoretical models, urban traffic planning, management and decision-making. This book helps traffic engineering researchers, traffic engineering technicians and traffic industry managers understand the difficulties and challenges faced by transportation big data. Additionally, it helps them adapt to changes in traffic demand and the technological environment to achieve theoretical innovation and technological reform.
Travel Math (Math 24/7)
by Helen ThompsonWhen you're traveling, there are all sorts of numbers to keep track of. If you're driving, how many gallons of gas will you need for the distance you have to cover? How much will those gallons cost you at the pump? If you're going by plane, you'll need to juggle flight schedules. If your plane is delayed by 3 hours, will you be able to make your next connection? And what about if you travel to another country where they use a different kind of money? Will you be able to figure out how to change the money you brought with you into the currency of the country? Will you be able to set your clock back the right amount when you travel across time zones? Travel Math will help you do all this and more!
Traveling Around The United States: Learning To Add 2 Three-digit Numbers Without Regrouping (Math For The Real World Ser.)
by Barbara M. LindeTraveling Around the United States: Learning to Add 2 Three-digit Numbers Without Regrouping
The Traveling Salesman Problem: A Computational Study (Princeton Series in Applied Mathematics #17)
by David L. Applegate Robert E. Bixby Vašek Chvátal William J. CookThis book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience. The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.
The Traveling Salesman Problem: Optimization with the Attractor-Based Search System (Synthesis Lectures on Operations Research and Applications)
by Weiqi LiThis book presents a new search paradigm for solving the Traveling Salesman Problem (TSP). The intrinsic difficulty of the TSP is associated with the combinatorial explosion of potential solutions in the solution space. The author introduces the idea of using the attractor concept in dynamical systems theory to reduce the search space for exhaustive search for the TSP. Numerous examples are used to describe how to use this new search algorithm to solve the TSP and its variants including: multi-objective TSP, dynamic TSP, and probabilistic TSP. This book is intended for readers in the field of optimization research and application.
Treatise on Classical Elasticity: Theory and Related Problems
by Petre P. TeodorescuDeformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body - especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation. The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used. This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University of Bucharest. The construction of mathematical models is made by treating geometry and kinematics of deformation, mechanics of stresses and constitutive laws. Elastic, plastic and viscous properties are thus put in evidence and the corresponding theories are developed. Space problems are treated and various particular cases are taken into consideration. New solutions for boundary value problems of finite and infinite domains are given and a general theory of concentrated loads is built. Anisotropic and non-homogeneous bodies are studied as well. Cosserat type bodies are also modeled. The connection with thermal and viscous phenomena will be considered too. Audience: researchers in applied mathematics, mechanical and civil engineering.
A Treatise on Probability
by John Maynard KeynesWith this treatise, an insightful exploration of the probabilistic connection between philosophy and the history of science, John Maynard Keynes (1883-1946) breathed new life into studies of both disciplines. Originally published in 1921, the famous economist's most important mathematical work represented a significant contribution to the theory regarding the logical probability of propositions. Keynes effectively dismantled the classical theory of probability, launching what has since been termed the "logical-relationist" theory. In so doing, he explored the logical relationships between classifying a proposition as "highly probable" and as a "justifiable induction."A Treatise on Probability argues that probability is a matter of logic, which renders it objective: a statement involving probability relations possesses a truth value independent of opinion. Keynes demonstrates that if a hypothesis has even the smallest finite probability, it can be transformed into certainty by a sufficient number of observations. This is his attempt to overcome Humean skepticism by asserting that theoretically grounded hypotheses need only exhibit finite probability to form the basis of science and rational action. Another key idea discussed in A Treatise on Probability is that probability relations constitute only a partially ordered set in the sense that two probabilities cannot necessarily always be compared. Keynes further maintains that probability is a basic concept that cannot be reduced to other concepts.
A Treatise on the Calculus of Finite Differences
by George BooleWritten by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence and divergence of series are developed, as is a method for finding the limits of error in series expansions. The latter half of the book discusses difference-equations, including linear, mixed, and partial difference-equations, and concludes with applications to problems in geometry and optics. The text pays particular attention to the connection of the calculus of finite differences with the differential calculus, and more than 200 problems appear in the text (some with solutions). Unabridged republication of the classic 1872 edition.
A Treatise on the Differential Geometry of Curves and Surfaces (Dover Books on Mathematics)
by Luther Pfahler EisenhartCreated especially for graduate students, this introductory treatise on differential geometry has been a highly successful textbook for many years. Its unusually detailed and concrete approach includes a thorough explanation of the geometry of curves and surfaces, concentrating on problems that will be most helpful to students. 1909 edition.
Tree-based Graph Partitioning Constraint (Wiley-iste Ser. #571)
by Xavier LorcaCombinatorial problems based on graph partitioning enable us to mathematically represent and model many practical applications. Mission planning and the routing problems occurring in logistics perfectly illustrate two such examples. Nevertheless, these problems are not based on the same partitioning pattern: generally, patterns like cycles, paths, or trees are distinguished. Moreover, the practical applications are often not limited to theoretical problems like the Hamiltonian path problem, or K-node disjoint path problems. Indeed, they usually combine the graph partitioning problem with several restrictions related to the topology of nodes and arcs. The diversity of implied constraints in real-life applications is a practical limit to the resolution of such problems by approaches considering the partitioning problem independently from each additional restriction. This book focuses on constraint satisfaction problems related to tree partitioning problems enriched by several additional constraints that restrict the possible partitions topology. On the one hand, this title focuses on the structural properties of tree partitioning constraints. On the other hand, it is dedicated to the interactions between the tree partitioning problem and classical restrictions (such as precedence relations or incomparability relations between nodes) involved in practical applications. Precisely, Tree-based Graph Partitioning Constraint shows how to globally take into account several restrictions within one single tree partitioning constraint. Another interesting aspect of this book is related to the implementation of such a constraint. In the context of graph-based global constraints, the book illustrates how a fully dynamic management of data structures makes the runtime of filtering algorithms independent of the graph density.
Tree-Based Methods for Statistical Learning in R (Chapman & Hall/CRC Data Science Series)
by Brandon M. GreenwellTree-based Methods for Statistical Learning in R provides a thorough introduction to both individual decision tree algorithms (Part I) and ensembles thereof (Part II). Part I of the book brings several different tree algorithms into focus, both conventional and contemporary. Building a strong foundation for how individual decision trees work will help readers better understand tree-based ensembles at a deeper level, which lie at the cutting edge of modern statistical and machine learning methodology. The book follows up most ideas and mathematical concepts with code-based examples in the R statistical language; with an emphasis on using as few external packages as possible. For example, users will be exposed to writing their own random forest and gradient tree boosting functions using simple for loops and basic tree fitting software (like rpart and party/partykit), and more. The core chapters also end with a detailed section on relevant software in both R and other opensource alternatives (e.g., Python, Spark, and Julia), and example usage on real data sets. While the book mostly uses R, it is meant to be equally accessible and useful to non-R programmers. Consumers of this book will have gained a solid foundation (and appreciation) for tree-based methods and how they can be used to solve practical problems and challenges data scientists often face in applied work. Features: Thorough coverage, from the ground up, of tree-based methods (e.g., CART, conditional inference trees, bagging, boosting, and random forests). A companion website containing additional supplementary material and the code to reproduce every example and figure in the book. A companion R package, called treemisc, which contains several data sets and functions used throughout the book (e.g., there’s an implementation of gradient tree boosting with LAD loss that shows how to perform the line search step by updating the terminal node estimates of a fitted rpart tree). Interesting examples that are of practical use; for example, how to construct partial dependence plots from a fitted model in Spark MLlib (using only Spark operations), or post-processing tree ensembles via the LASSO to reduce the number of trees while maintaining, or even improving performance.
Trends and Applications in Knowledge Discovery and Data Mining: PAKDD 2024 Workshops, RAFDA and IWTA, Taipei, Taiwan, May 7–10, 2024, Proceedings (Lecture Notes in Computer Science #14658)
by Zhaoxia Wang Chang Wei TanThis book constitutes the workshops that have been held in conjunction with the 27th Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD 2023, which took place in Osaka, Japan, during May 25–28, 2023. For RAFDA 2024, Workshop on Research and Applications of Foundation Models for Data Mining and Affective Computing, 15 submissions have been received and 9 full papers have been accepted for publication. For IWTA 2024, International Workshop on Temporal Analytics, 4 full papers have been accepted from a total of 6 submissions.