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Relativistic Quantum Invariance
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Relativistic Quantum InvarianceНазвание: Relativistic Quantum Invariance
Автор: Chueng-Ryong Ji
Издательство: Springer
Серия: Lecture Notes in Physics
Год: 2023
Страниц: 252
Язык: английский
Формат: pdf (true)
Размер: 10.2 MB

This book describes the invariant nature of the relativistic quantum field theories utilizing the idea of interpolating the instant form dynamics and the light-front dynamics. While the light-front dynamics (LFD) based on the light-front time was proposed by Dirac in 1949, there has not yet been a salient review on the connection between the LFD and the instant form dynamics (IFD) based on the ordinary time. By reviewing the connection between LFD and IFD using the idea of interpolating the two different forms of the relativistic dynamics, one can learn the distinguished features of each form and how one may utilize those distinguished features in solving the complicated relativistic quantum field theoretic problems more effectively. With the ongoing 12-GeV Jefferson Lab experiments, the internal structures of the nucleon and nuclei are vigorously investigated in particular using the physical observables defined in the LFD rather than in the IFD. This book offers a clear demonstration on why and how the LFD is more advantageous than the IFD for the study of hadron physics, illustrating the differences and similarities between these two distinguished forms of the dynamics.


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Теория процессов
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Теория процессов
Название: Теория процессов
Автор: Миронов А.М.
Издательство: Переславль-Залесский: Издательство НОУ Институт программных систем
Год: 2008
Страниц: 346
Формат: djvu
Размер: 12,8 Мб
Язык: Русский

Основными источниками задач и объектами применения результатов теории процессов являются распределенные компьютерные системы. В некоторых случаях представление анализируемой программы в виде модели с бесконечным множеством состояний существенно упрощает проведение рассуждений об этой программе.


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Научные вычисления в Microsoft Excel
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Название: Научные вычисления в Microsoft Excel
Автор: Васильев А.Н.
Издательство: Издательский Дом Вильямс
Год: 2004
Cтраниц: 512
Формат: djvu
Размер: 11 мб
Язык: русский

В книге обсуждается использование Excel для решения прикладных научных и инженерно-физических задач. Помимо основных сведений о принципах работы в Excel, читателю предлагается большое количество практических примеров, охватывающих дифференцирование и интегрирование функций, решение уравнений, в том числе дифференциальных и интегральных, поиск экстремумов функций, выполнение интерполяции и аппроксимации.


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Seduced by Mathematics: The enduring fascination of mathematics
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Seduced by Mathematics: The enduring fascination of mathematicsНазвание: Seduced by Mathematics: The enduring fascination of mathematics
Автор: James D. Stein
Издательство: World Scientific Publishing
Год: 2023
Страниц: 225
Язык: английский
Формат: pdf (true), epub
Размер: 13.9 MB

Seduction is not just an end result, but a process — and in mathematics, both the end results and the process by which those end results are achieved are often charming and elegant. This helps to explain why so many people — not just those for whom math plays a key role in their day-to-day lives — have found mathematics so seductive. Math is unique among all subjects in that it contains end results of amazing insight and power, and lines of reasoning that are clever, charming, and elegant. This book is a collection of those results and lines of reasoning that make us say, "OMG, that's just amazing," — because that's what mathematics is to those who love it. In addition, some of the stories about mathematical discoveries and the people who discovered them are every bit as fascinating as the discoveries themselves. This book contains material capable of being appreciated by students in elementary school — as well as some material that will probably be new to even the more mathematically sophisticated. Most of the book can be easily understood by those whose only math courses are algebra and geometry, and who may have missed the magic, enchantment, and wonder that is the special province of mathematics.


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Elementary Statistical Methods
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Elementary Statistical MethodsНазвание: Elementary Statistical Methods
Автор: Sahana Prasad
Издательство: Springer
Год: 2023
Страниц: 318
Язык: английский
Формат: pdf
Размер: 10.2 MB

Statistics is basically a mathematical science wherein data is first collected, then analysed by using suitable tools, explanation/interpretation given, and then finally converted into a valid conclusion. Statistical techniques are used right from data collection to final measurement. Different experimental designs and survey sampling techniques help in obtaining the data while data quality is improvised by statisticians by using data cleaning techniques. Various forecasting and prediction tools are available for providing inferences. Statistical knowledge is a relevant discipline in various academic organizations—in social and natural sciences and in business set-ups and governmental organizations. This is the first book of two volumes covering the basics of statistical methods and analysis. Significant topics include concepts of research and data analysis, descriptive statistics, probability and distributions, correlation and regression, and statistical inference. The book includes useful examples and exercises as well as relevant case studies for proper implementation of the discussed tools. This book will be a valuable text for undergraduate students of statistics, management, economics, and psychology, wanting to gain basic understanding of statistics and the usage of its various concepts.


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Ten Projects in Applied Statistics
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Ten Projects in Applied StatisticsНазвание: Ten Projects in Applied Statistics
Автор: Peter McCullagh
Издательство: Springer
Серия: Springer Series in Statistics
Год: 2023
Страниц: 415
Язык: английский
Формат: pdf (true), epub
Размер: 25.9 MB

The 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. The aim of the book is not so much to illustrate algorithms or techniques of computation, but to illustrate the role of statistical thinking and stochastic modelling in scientific research. The R package is used throughout the book for all plots and computations.


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Физика атомного ядра и частиц (2022)
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Название: Физика атомного ядра и частиц (2022)
Автор: Капитонов И.М.
Издательство: М.: Изд. МГУ им. М.В. Ломоносова Teach-in
Год: 2022
Формат: pdf
Страниц: 143
Размер: 43 mb
Язык: Русский

Приведены лекции по следующим темам: Введение. Радиоактивный распад. Открытие атомного ядра. Рассеяние Резерфорда. Основы квантовой механики. Законы сохранения в физике ядра и частиц. Элементарные частицы. Слабое взаимодействие и квантовая хромодинамика. Асимптотическая свобода. Физика атомного ядра. Радиоактивный распад атомных ядер. Ядерные реакции. Модель ядерных оболочек. Коллективные возбуждения ядер. СРТ-симметрии и объединение взаимодействий. Вселенная. Дозвёздный нуклеосинтез.


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Qualitative Theory of ODEs: An Introduction to Dynamical Systems Theory
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Qualitative Theory of ODEs: An Introduction to Dynamical Systems TheoryНазвание: Qualitative Theory of ODEs: An Introduction to Dynamical Systems Theory
Автор: Henryk Żoladek, Raul Murillo
Издательство: World Scientific Publishing
Год: 2023
Страниц: 283
Язык: английский
Формат: pdf (true)
Размер: 16.4 MB

The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introduction to Dynamical Systems, one of the main mathematical disciplines in recent decades. Moreover, it turns out to be very useful for graduates when they encounter differential equations in their work; usually those equations are very complicated and cannot be solved by standard methods.


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Spatiotemporal Analytics
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Spatiotemporal AnalyticsНазвание: Spatiotemporal Analytics
Автор: Jay Lee
Издательство: CRC Press
Год: 2023
Страниц: 267
Язык: английский
Формат: pdf (true)
Размер: 20.0 MB

This book introduces readers to spatiotemporal analytics that are extended from spatial statistics. Spatiotemporal analytics help analysts to quantitatively recognize and evaluate the spatial patterns and their temporal trends of a set of geographic events or objects. Spatiotemporal analyses are very important in geography, environmental sciences, economy, and many other domains. Spatiotemporal Analytics explains in very simple terms the concepts of spatiotemporal data and statistics, theories, and methods used. Each chapter introduces a case study as an example application for an in-depth learning process. The software used and the codes provided enable readers not only to learn statistics but also to use them effectively in their projects.


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Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic
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Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and LogicНазвание: Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic
Автор: Stephen A Selesnick
Издательство: World Scientific Publishing
Год: 2023
Страниц: 354
Язык: английский
Формат: pdf (true), epub
Размер: 30.1 MB

Do brains compute? If they do, what do they compute and how do they do it? The first part of the book introduces the development of a model that simulates actual biological neurons more closely than do current standard models of neural networks, as well as the deduction of its physics-like and computational properties from first principles. The second part presents a collection of applications of the model to memory formation and loss, a general syntax for memory retrieval, language itself, and certain forms of aphasia. A linear development of the discussion with proofs in situ is employed by the author, making the book essentially self-contained. A pair of helpful appendices are provided to acquaint the reader with necessary fundamentals of topics in logic and mathematics. Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic will show you an entirely new approach to an ancient subject. Readership: Researchers and graduate students in Neuroscience, Biomathematics, Biophysics, Mathematics, Computer Science, and related fields.


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