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Asymptotic Stochastics: An Introduction with a View towards Statistics (Mathematics Study Resources #10)
by Norbert HenzeThis textbook, which is based on the second edition of a book that has been previously published in German language, provides a comprehension-oriented introduction to asymptotic stochastics. It is aimed at the beginning of a master's degree course in mathematics and covers the material that can be taught in a four-hour lecture with two-hour exercises. Individual chapters are also suitable for seminars at the end of a bachelor's degree course.In addition to more basic topics such as the method of moments in connection with the convergence in distribution or the multivariate central limit theorem and the delta method, the book covers limit theorems for U-statistics, the Wiener process and Donsker's theorem, as well as the Brownian bridge, with applications to statistics. It concludes with a central limit theorem for triangular arrays of Hilbert space-valued random elements with applications to weighted L² statistics. The book is deliberately designed forself-study. It contains 138 self-questions, which are answered at the end of each chapter, as well as 194 exercises with solutions.This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains (Operator Theory: Advances and Applications #284)
by Dmitrii Korikov Boris Plamenevskii Oleg SarafanovThis book considers dynamic boundary value problems in domains with singularities of two types. The first type consists of "edges" of various dimensions on the boundary; in particular, polygons, cones, lenses, polyhedra are domains of this type. Singularities of the second type are "singularly perturbed edges" such as smoothed corners and edges and small holes. A domain with singularities of such type depends on a small parameter, whereas the boundary of the limit domain (as the parameter tends to zero) has usual edges, i.e. singularities of the first type. In the transition from the limit domain to the perturbed one, the boundary near a conical point or an edge becomes smooth, isolated singular points become small cavities, and so on. In an "irregular" domain with such singularities, problems of elastodynamics, electrodynamics and some other dynamic problems are discussed. The purpose is to describe the asymptotics of solutions near singularities of the boundary. The presented results and methods have a wide range of applications in mathematical physics and engineering. The book is addressed to specialists in mathematical physics, partial differential equations, and asymptotic methods.
Asymptotic Theory of Weakly Dependent Random Processes (Probability Theory and Stochastic Modelling #80)
by Emmanuel RioCes notes sont consacr#65533;es aux in#65533;galit#65533;s et aux th#65533;or#65533;mes limites classiques pour les suites de variables al#65533;atoires absolument r#65533;guli#65533;res ou fortement m#65533;langeantes au sens de Rosenblatt. Le but poursuivi est de donner des outils techniques pour l'#65533;tude des processus faiblement d#65533;pendants aux statisticiens ou aux probabilistes travaillant sur ces processus.
Asymptotical Mechanics of Composites: Modelling Composites without FEM (Advanced Structured Materials #77)
by Jan Awrejcewicz Igor V. Andrianov Vladyslav V. DanishevskyyIn this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems. The book focuses on this asymptotic-modeling-based approach because it allows us to define the most important out of numerous parameters describing the system, or, in other words, the asymptotic methods allow us to estimate the sensitivity of the system parameters. Further, the book addresses the construction of nonlocal and higher-order homogenized models. Local fields on the micro-level and the influence of so-called non-ideal contact between the matrix and inclusions are modeled and investigated. The book then studies composites with non-regular structure and cluster type composite conductivity, and analyzes edge effects in fiber composite materials. Transition of load from a fiber to a matrix for elastic and viscoelastic composites, various types of fiber composite fractures, and buckling of fibers in fiber-reinforced composites is also investigated. Last but not least, the book includes studies on perforated membranes, plates, and shells, as well as the asymptotic modeling of imperfect nonlinear interfaces.
Asymptotically Safe Gravity: From Spacetime Foliation To Cosmology (Springer Theses)
by Alessia Benedetta PlataniaThis book seeks to construct a consistent fundamental quantum theory of gravity, which is often considered one of the most challenging open problems in present-day physics. It approaches this challenge using modern functional renormalization group techniques, and attempts to realize the idea of “Asymptotic Safety” originally proposed by S. Weinberg. Quite remarkably, the book makes significant progress regarding both the fundamental aspects of the program and its phenomenological consequences. The conceptual developments pioneer the construction of a well-behaved functional renormalization group equation adapted to spacetimes with a preferred time-direction. It is demonstrated that the Asymptotic Safety mechanism persists in this setting and extends to many phenomenologically interesting gravity-matter systems. These achievements constitute groundbreaking steps towards bridging the gap between quantum gravity in Euclidean and Lorentzian spacetimes.The phenomenological applications cover core topics in quantum gravity, e.g. constructing a phenomenologically viable cosmological evolution based on quantum gravity effects in the very early universe, and analyzing quantum corrections to black holes forming from a spherical collapse.As a key feature, all developments are presented in a comprehensive and accessible way. This makes the work a timely and valuable guide into the rapidly evolving field of Asymptotic Safety.
Asymptotics and Borel Summability (Monographs and Surveys in Pure and Applied Mathematics)
by Ovidiu CostinIncorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr
Asymptotics and Special Functions
by Frank OlverA classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Asymptotics for Associated Random Variables
by Paulo Eduardo OliveiraThe book concerns the notion of association in probability and statistics. Association and some other positive dependence notions were introduced in 1966 and 1967 but received little attention from the probabilistic and statistics community. The interest in these dependence notions increased in the last 15 to 20 years, and many asymptotic results were proved and improved. Despite this increased interest, characterizations and results remained essentially scattered in the literature published in different journals. The goal of this book is to bring together the bulk of these results, presenting the theory in a unified way, explaining relations and implications of the results. It will present basic definitions and characterizations, followed by a collection of relevant inequalities. These are then applied to characterize almost sure and weak convergence of sequences of associated variables. It will also cover applications of positive dependence to the characterization of asymptotic results in nonparametric statistics. The book is directed towards researchers in probability and statistics, with particular emphasis on people interested in nonparametric methods. It will also be of interest to graduate students in those areas. The book could also be used as a reference on association in a course covering dependent variables and their asymptotics. As prerequisite, readers should have knowledge of basic probability on the reals and on metric spaces. Some acquaintance with the asymptotics of random functions, such us empirical processes and partial sums processes, is useful but not essential.
Asymptotics, Nonparametrics, and Time Series
by Subir Ghosh"Contains over 2500 equations and exhaustively covers not only nonparametrics but also parametric, semiparametric, frequentist, Bayesian, bootstrap, adaptive, univariate, and multivariate statistical methods, as well as practical uses of Markov chain models."
Asymptotics of Elliptic and Parabolic PDEs: And Their Applications In Statistical Physics, Computational Neuroscience, And Biophysics (Applied Mathematical Sciences #199)
by Zeev Schuss David HolcmanThis is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.
Async in C# 5.0: Unleash the Power of Async
by Alex DaviesIf you’re writing one of several applications that call for asynchronous programming, this concise hands-on guide shows you how the async feature in C# 5.0 can make the process much simpler. Along with a clear introduction to asynchronous programming, you get an in-depth look at how the async feature works and why you might want to use it in your application.Written for experienced C# programmers—yet approachable for beginners—this book is packed with code examples that you can extend for your own projects.Write your own asynchronous code, and learn how async saves you from this messy choreDiscover new performance possibilities in ASP.NET web server codeExplore how async and WinRT work together in Windows 8 applicationsLearn the importance of the await keyword in async methodsUnderstand which .NET thread is running your code—and at what points in the programUse the Task-based Asynchronous Pattern (TAP) to write asynchronous APIs in .NETTake advantage of parallel computing in modern machinesMeasure async code performance by comparing it with alternatives
Async JavaScript: Build More Responsive Apps with Less Code
by Trevor BurnhamWith the advent of HTML5, front-end MVC, and Node.js, JavaScript is ubiquitous--and still messy. This book will give you a solid foundation for managing async tasks without losing your sanity in a tangle of callbacks. It's a fast-paced guide to the most essential techniques for dealing with async behavior, including PubSub, evented models, and Promises. With these tricks up your sleeve, you'll be better prepared to manage the complexity of large web apps and deliver responsive code.With Async JavaScript, you'll develop a deeper understanding of the JavaScript language. You'll start with a ground-up primer on the JavaScript event model--key to avoiding many of the most common mistakes JavaScripters make. From there you'll see tools and design patterns for turning that conceptual understanding into practical code.The concepts in the book are illustrated with runnable examples drawn from both the browser and the Node.js server framework, incorporating complementary libraries including jQuery, Backbone.js, and Async.js. You'll learn how to create dynamic web pages and highly concurrent servers by mastering the art of distributing events to where they need to be handled, rather than nesting callbacks within callbacks within callbacks.Async JavaScript will get you up and running with real web development quickly. By the time you've finished the Promises chapter, you'll be parallelizing Ajax requests or running animations in sequence. By the end of the book, you'll even know how to leverage Web Workers and AMD for JavaScript applications with cutting-edge performance. Most importantly, you'll have the knowledge you need to write async code with confidence.What You Need:Basic knowledge of JavaScript is recommended. If you feel that you're not up to speed, see the "Resources for Learning JavaScript" section in the preface.
Async Rust
by Maxwell Flitton Caroline MortonAlready popular among programmers for its memory safety and speed, the Rust programming language is also valuable for asynchrony. This practical book shows you how asynchronous Rust can help you solve problems that require multitasking. You'll learn how to apply async programming to solve problems with an async approach. You will also dive deeper into async runtimes, implementing your own ways in which async runtimes handle incoming tasks.Authors Maxwell Flitton and Caroline Morton also show you how to implement the Tokio software library to help you with incoming traffic, communicate between threads with shared memory and channels, and design a range of complex solutions using actors. You'll also learn to perform unit and end-to-end tests on a Rust async system.With this book, you'll learn:How Rust approaches async programmingHow coroutines relate to async RustReactive programming and how to implement pub sub in async rustHow to solve problems using actorsHow to customize Tokio to gain control over how tasks are processedAsync Rust design patternsHow to build an async TCP server just using the standard libraryHow to unit test async RustBy the end of the book, you'll be able to implement your own async TCP server completely from the standard library with zero external dependencies, and unit test your async code.
Asynchronous Android
by Steve LilesConcurrent Programming on Android is a step-by-step guide that builds a complete picture of the concurrency constructs available on the Android platform.This book is for Android developers who want to learn about the advanced concepts of Android programming. No prior knowledge of concurrency and asynchronous programming is required. This book is also targeted towards Java experts who are new to Android.
Asynchronous Android Programming - Second Edition
by Helder VasconcelosUnlock the power of multi-core mobile devices to build responsive and reactive Android applications About This Book * Construct scalable and performant applications to take advantage of multi-thread asynchronous techniques * Explore the high-level Android asynchronous constructs available on the Android SDK * Choose the most appropriate asynchronous technique to implement your next outstanding feature Who This Book Is For This book is for Android developers who want to learn how to build multithreaded and reliable Android applications using high-level and advanced asynchronous techniques and concepts. No prior knowledge of concurrent and asynchronous programming is required. This book will also be great for Java experts who are new to Android. Whether you are a beginner at Android development or a seasoned Android programmer, this book will guide you through the most basic and advanced asynchronous constructs used in Android programming. What You Will Learn * Get familiar with the android process model and low-level concurrent constructs delivered by the Android SDK * Use AsyncTask and loader framework to load data in the background, delivering progress results in the meantime * Create services that interact with your activity without compromising the UI rendering * Learn the working of Android concurrency on the Native Layer * Interact with nearby devices over Bluetooth and WiFi communications channels * Create and compose tasks with RxJava to execute complex asynchronous work in a predictable way * Get accustomed to the use of the Android Loader construct to deliver up-to-date results In Detail Asynchronous programming has acquired immense importance in Android programming, especially when we want to make use of the number of independent processing units (cores) available on the most recent Android devices. With this guide in your hands you'll be able to bring the power of Asynchronous programming to your own projects, and make your Android apps more powerful than ever before! To start with, we will discuss the details of the Android Process model and the Java Low Level Concurrent Framework, delivered by Android SDK. We will also guide you through the high-level Android-specific constructs available on the SDK: Handler, AsyncTask, and Loader. Next, we will discuss the creation of IntentServices, Bound Services and External Services, which can run in the background even when the user is not interacting with it. You will also discover AlarmManager and JobScheduler APIs, which are used to schedule and defer work without sacrificing the battery life. In a more advanced phase, you will create background tasks that are able to execute CPU-intensive tasks in a native code-making use of the Android NDK. You will be then guided through the process of interacting with remote services asynchronously using the HTTP protocol or Google GCM Platform. Using the EventBus library, we will also show how to use the Publish-Subscribe software pattern to simplify communication between the different Android application components by decoupling the event producer from event consumer. Finally, we will introduce RxJava, a popular asynchronous Java framework used to compose work in a concise and reactive way. Asynchronous Android will help you to build well-behaved applications with smooth responsive user interfaces that delight the users with speedy results and data that's always fresh. Style and approach This easy-to-follow guide is full of code examples of real-world use cases. Each asynchronous topic is explained sequentially, from the most basic and low-level to the more advanced, using concise and effective language. Some lifecycle flows and concepts feature illustrations to help you understand the complex interactions between Android entities.
Asynchronous Control for Networked Systems
by María Guinaldo Losada Francisco Rodríguez Rubio Sebastián Dormido BencomoThis book sheds light on networked control systems; it describes different techniques for asynchronous control, moving away from the periodic actions of classical control, replacing them with state-based decisions and reducing the frequency with which communication between subsystems is required. The text focuses specially on event-based control. Split into two parts, Asynchronous Control for Networked Systems begins by addressing the problems of single-loop networked control systems, laying out various solutions which include two alternative model-based control schemes (anticipatory and predictive) and the use of H2/H∞ robust control to deal with network delays and packet losses. Results on self-triggering and send-on-delta sampling are presented to reduce the need for feedback in the loop. In Part II, the authors present solutions for distributed estimation and control. They deal first with reliable networks and then extend their results to scenarios in which delays and packet losses may occur. The novel results presented in Asynchronous Control for Networked Systems are transmitted in a concise and clear style supported by simulation and experimental examples. Some applications are also provided. Academic researchers and graduate students investigating control theory, control engineering and computer communications systems can use this monograph to learn how asynchronous control helps tackle the problems of networked systems in centralized and distributed schemes. Control practitioners at work in power systems, vehicle coordination and traffic networks will also find this book helpful in improving the performance of their systems.
Asynchronous Machines: Basic Calculation Elements from Field Equations
by Valentin AsanbayevThis book attempts to eliminate the existing “imbalance” between the theory of electric machines and the theory of electromagnetic fields. In order to develop viable methods for engineering calculations, the author applies field equations. The resulting, new methods consist of traditional calculation elements represented in a refined form (circuit-loops, parameters, equivalent circuits and voltage equations). These calculation methods should be effective both for researchers and engineering practitioners, especially, in relation to the modern electric machines, such as powerful turbine generators, large high-speed synchronous motors, etc.
Asynchronous Many-Task Systems and Applications: First International Workshop, WAMTA 2023, Baton Rouge, LA, USA, February 15–17, 2023, Proceedings (Lecture Notes in Computer Science #13861)
by Patrick Diehl Peter Thoman Hartmut Kaiser Laxmikant KaleThis book constitutes the proceedings of the Workshop on Asynchronous Many-Task Systems and Applications 2023 in Baton Rouge, LA, USA, February 2023. The workshop present the advantages and challenges of task-based programming on modern and future HPC systems.The 6 full papers included in this volume were carefully reviewed and selected from 7 submissions.
Asynchronous Many-Task Systems and Applications: Second International Workshop, WAMTA 2024, Knoxville, TN, USA, February 14–16, 2024, Proceedings (Lecture Notes in Computer Science #14626)
by Pedro Valero-Lara Patrick Diehl George Bosilca Joseph SchuchartThis book constitutes the refereed proceedings of the Second International Workshop on Asynchronous Many-Task Systems and Applications, WAMTA 2024, held in Knoxville, TN, USA during February 14–16, 2024. The 11 full papers and 5 short papers included in this book were carefully reviewed and selected from 20 submissions. The WAMTA 2024 proceedings help developers, users, and proponents of these models and systems share experience, discuss how they meet the challenges posed by Exascale system architectures, and explore opportunities for increased performance, robustness, productivity, and full-system utilization.
Asynchronous On-Chip Networks and Fault-Tolerant Techniques
by Wei Song Guangda ZhangAsynchronous On-Chip Networks and Fault-Tolerant Techniques is the first comprehensive study of fault-tolerance and fault-caused deadlock effects in asynchronous on-chip networks, aiming to overcome these drawbacks and ensure greater reliability of applications. As a promising alternative to the widely used synchronous on-chip networks for multicore processors, asynchronous on-chip networks can be vulnerable to faults even if they can deliver the same performance with much lower energy and area compared with their synchronous counterparts – faults can not only corrupt data transmission but also cause a unique type of deadlock. By adopting a new redundant code along with a dynamic fault detection and recovery scheme, the authors demonstrate that asynchronous on-chip networks can be efficiently hardened to tolerate both transient and permanent faults and overcome fault-caused deadlocks. This book will serve as an essential guide for researchers and students studying interconnection networks, fault-tolerant computing, asynchronous system design, circuit design and on-chip networking, as well as for professionals interested in designing fault-tolerant and high-throughput asynchronous circuits.
Asynchronous Programming with SwiftUI and Combine: Functional Programming to Build UIs on Apple Platforms
by Peter FrieseDevelop UI-heavy applications more easily, faster, and error-free. Based on several enhancements to the Swift language, SwiftUI takes a declarative approach to building UIs. Instead of imperatively coding the UI, this book will show you how to describe how you want your UI to look. SwiftUI treats the UI as a function of its state, thereby making managing your app’s state a lot easier. Change the underlying data model to redraw all parts of the UI that are connected to that particular slice of data. Likewise, easily update the underlying data model from the UI elements your data model is connected to. Combine is Apple’s Functional Reactive Programming framework. It complements SwiftUI and other frameworks, such as the networking APIs, in a natural way. Using Combine, you can subscribe to events and describe data processing in a way that is free of side effects. This allows for an easier implementation of event-driven applications. Using SwiftUI and Combine build more error-free apps in a shorter amount of time, targeting all of Apple’s platforms (iOS, iPadOS, watchOS, macOS, tvOS) with little to no overhead. By the end of the book you will have a solid understanding for architecting and implementing UI-heavy apps in a declarative and functional reactive way using SwiftUI, Combine, and async/await. You will: - Build simple and gradually more complex UIs in SwiftUI - Understand SwiftUI’s state management system - Work with Combine and Swift’s new async/await APIs to access the network and access other asynchronous APIs - Architect and structure modern applications on Apple platforms using SwiftUI, Combine, and async/await
asyncio Recipes: A Problem-Solution Approach
by Mohamed Mustapha TahriouiGet the most out of asyncio and find solutions to your most troubling Python programming problems. This book offers a pragmatic collection of recipes by going beyond online resources and docs to provide guidance on using this complex library. As such, you’ll see how to improve application performance and run computationally intensive programs faster.asyncio Recipes starts with examples illustrating the primitives that come with the asyncio library, and explains how to determine if asyncio is the right choice for your application. It shows how to use asyncio to yield performance gains without multiple threads, and identifies common mistakes and how to prevent them. Later chapters cover error-handling, testing, and debugging. By the end of this book, you'll understand how asyncio runs behind the scenes, and be confident enough to contribute to asyncio-first projects.What You Will LearnDiscover quirky APIs such as the event loop policiesWrite asyncio code with native coroutines Use the ast module to find legacy asyncio codeWork with contextvars See what a async context manager is and why a lot of asyncio APIs use themWho This Book Is ForExperienced Python developers or hobbyists who want to understand asyncio and speed up their applications by adding concurrency to their toolkit.
Asyndeton and its Interpretation in Latin Literature: History, Patterns, Textual Criticism
by J. N. AdamsAsyndetic coordination (omission of coordinators such as 'but', 'or', 'and') is ancient in Indo-European languages. Most commentaries on Greek and Latin texts index 'asyndeton', but wide-ranging treatments of asyndeton across a variety of literary and non-literary genres are largely lacking, and comments are often impressionistic. This book provides the most comprehensive account of asyndeton in Latin ever attempted, and it also contains material from Greek and Umbrian. It analyses asyndeta in diverse genres from early Latin to the early Empire, including prayers and laws, and aims to identify types, determinants, generic variations and chronological changes. Since coordinators are easily left out or added by scribes, criteria are discussed that might be used by editors in deciding between asyndeton and coordination. External influences on Latin, such as Greek and Italic, are also considered. The book will be essential for all scholars of Latin language and literature as well as historical linguistics.
At a Century's Ending: Reflections, 1982-1995
by George F. KennanAs a participant and observer, Pulitzer Prize-winning and National Book Award-winning author George F. Kennan has left an indelible mark on more than six decades of this century. In this new volume of essays, reviews, and speeches, Kennan reflects on the forces that have gone wildly out of control in this tragic century.