Название: Основы линейной алгебры: учебник для СПО
Автор: Мальцев А.И.
Издательство: Лань
Год: 2021
Страниц: 473
Язык: русский
Формат: pdf
Размер: 16.5 MB

Классический учебник по линейной алгебре. Рассмотрены все основные вопросы теории: матрицы и определители, линейные, унитарные и евклидовы пространства, линейные преобразования, многочленные матрицы, квадратичные и билинейные формы, аффинные пространства. Для закрепления теоретического материала в конце параграфов даются примеры и задачи. Учебник рекомендован студентам технических специальностей среднего профессионального образования.

Название: Design and Analysis of Pragmatic Trials
Автор: Song Zhang, Chul Ahn, Hong Zhu
Издательство: CRC Press
Серия: Biostatistics Series
Год: 2023
Страниц: 215
Язык: английский
Формат: pdf (true)
Размер: 10.1 MB

This book begins with an introduction of pragmatic cluster randomized trials (PCTs) and reviews various pragmatic issues that need to be addressed by statisticians at the design stage. It discusses the advantages and disadvantages of each type of PCT, and provides sample size formulas, sensitivity analyses, and examples for sample size calculation. The generalized estimating equation (GEE) method will be employed to derive sample size formulas for various types of outcomes from the exponential family, including continuous, binary, and count variables. Experimental designs that have been frequently employed in PCTs will be discussed, including cluster randomized designs, matched-pair cluster randomized design, stratified cluster randomized design, stepped-wedge cluster randomized design, longitudinal cluster randomized design, and crossover cluster randomized design. It demonstrates that the GEE approach is flexible to accommodate pragmatic issues such as hierarchical correlation structures, different missing data patterns, randomly varying cluster sizes, etc. It has been reported that the GEE approach leads to under-estimated variance with limited numbers of clusters. Can be used as a textbook for graduate students majoring in statistics and biostatistics.

Название: Nanophotonics and Machine Learning: Concepts, Fundamentals, and Applications
Автор: Kan Yao, Yuebing Zheng
Издательство: Springer
Серия: Springer Series in Optical Sciences
Год: 2023
Страниц: 188
Язык: английский
Формат: pdf (true)
Размер: 14.3 MB

This book, the first of its kind, bridges the gap between the increasingly interlinked fields of nanophotonics and Artificial Intelligence (AI). While Artificial Intelligence techniques, Machine Learning in particular, have revolutionized many different areas of scientific research, nanophotonics holds a special position as it simultaneously benefits from AI-assisted device design whilst providing novel computing platforms for AI. This book is aimed at both researchers in nanophotonics who want to utilize AI techniques and researchers in the computing community in search of new photonics-based hardware. The book guides the reader through the general concepts and specific topics of relevance from both nanophotonics and AI, including optical antennas, metamaterials, metasurfaces, and other photonic devices on the one hand, and different Machine Learning paradigms and Deep Learning algorithms on the other. It goes on to comprehensively survey inverse techniques for device design, AI-enabled applications in nanophotonics, and nanophotonic platforms for AI. This book will be essential reading for graduate students, academic researchers, and industry professionals from either side of this fast-developing, interdisciplinary field.

Название: Wave Phenomena: Mathematical Analysis and Numerical Approximation
Автор: Willy Dörfler, Marlis Hochbruck, Jonas Köhler, Andreas Rieder
Издательство: Birkhauser/Springer
Год: 2023
Страниц: 268
Язык: английский
Формат: pdf (true), epub
Размер: 27.2 MB

The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.

Название: Recent Trends on Type-2 Fuzzy Logic Systems: Theory, Methodology and Applications
Автор: Oscar Castillo, Anupam Kumar
Издательство: Springer
Серия: Studies in Fuzziness and Soft Computing
Год: 2023
Страниц: 272
Язык: английский
Формат: pdf (true), epub
Размер: 50.6 MB

This book covers the introduction, theory, development and applications of type-2 fuzzy logic systems, which represent the current state-of-the-art in various domains such as control applications, power plants, health care, image processing, mathematical applications etc. The book is also rich in discussing different applications in order to give the researchers a flavor of how type-2 fuzzy logic is designed for different types of problems. Type-2 fuzzy logic systems are now used extensively in engineering applications for many purposes. In simple language, this book covers the practical use of type-2 fuzzy logic and its optimization through different training methods. Furthermore, this book maintains the relationship between mathematics and practical implementations in the real world. This book chapter also contains the proper comparisons with available literature work. It shows that the presented enhanced techniques have better results. This book would serve as a handy reference guide for a variety of readers, primarily targeting research scholars, undergraduate and postgraduate researchers and practicing engineers working in Type-2 fuzzy logic systems and their applications.

Название: A First Introduction to Quantum Physics, 2nd edition
Автор: Pieter Kok
Издательство: Springer
Серия: Undergraduate Lecture Notes in Physics
Год: 2023
Страниц: 304
Язык: английский
Формат: pdf (true), epub
Размер: 25,6 MB

In this undergraduate textbook, now in its 2nd edition, the author develops the quantum theory from first principles based on very simple experiments: a photon traveling through beam splitters to detectors, an electron moving through magnetic fields, and an atom emitting radiation. From the physical description of these experiments follows a natural mathematical description in terms of matrices and complex numbers. The first part of the book examines how experimental facts force us to let go of some deeply held preconceptions and develops this idea into a description of states, probabilities, observables, and time evolution. The quantum mechanical principles are illustrated using applications such as gravitational wave detection, magnetic resonance imaging, atomic clocks, scanning tunneling microscopy, and many more. The first part concludes with an overview of the complete quantum theory.

Название: Математическая теория управления в примерах и задачах
Автор: Семенов В.В., Пантелеев А.В., Бортаковский А.С.
Издательство: М.: МАИ
Год: 1997
Cтраниц: 264
Формат: pdf
Размер: 24 мб
Язык: русский

(Прикладная математика в примерах и задачах).
С привлечением теории на многих примерах рассматриваются линейные (диф. уравнения, переходные функции, интегральные и спектральные преобразования), нелинейные (формы описания, методы анализа) и оптимальные (непрерывные детерминированные, стохастические и совместного оценивания и управления) системы управления.

Название: Fundamentals of Mathematical Statistics
Автор: Steffen Lauritzen
Издательство: CRC Press
Год: 2023
Страниц: 259
Язык: английский
Формат: pdf (true)
Размер: 36.6 MB

Fundamentals of Mathematical Statistics is meant for a standard one-semester advanced undergraduate or graduate level course on Mathematical Statistics. It covers all the key topics - statistical models, linear normal models, exponential families, estimation, asymptotics of maximum likelihood, significance testing, and models for tables of counts. It assumes a good background in mathematical analysis, linear algebra, and probability, but includes an appendix with basic results from these areas. Throughout the text, there are numerous examples and graduated exercises that illustrate the topics covered, rendering the book suitable for teaching or self-study. This textbook will be a perfect fit for an advanced course on mathematical statistics or statistical theory. The concise and lucid approach means it could also serve as a good alternative, or supplement, to existing texts.

Название: Дифференциальные уравнения: учебное пособие для вузов, 6-е изд.
Автор: Демидович Б.П., Моденов В.П.
Издательство: Лань
Год: 2022
Страниц: 277
Язык: русский
Формат: pdf
Размер: 14,35 MB

Данная книга состоит их двух частей: в ее первой части рассматриваются основы теории обыкновенных дифференциальных уравнений, во второй — дифференциальные уравнения с частными производными. Материал первой части пособия представлен в четырех главах. В первой главе даются общие понятия теории обыкновенных дифференциальных уравнений. Во второй главе излагаются сведения об уравнениях первого порядка. Кроме детального разбора интегрируемых случаев, в ней затрагиваются элементы общей теории дифференциальных уравнений (особые точки, особые решения и др.). Третья глава посвящена подробному исследованию уравнений второго порядка. В четвертой главе рассматриваются уравнения высших порядков.

Название: Статистические функции MS Excel в экономико-статистических расчетах
Автор: Козлов А.Ю., Мхитарян В.С., Шишов В.Ф.
Издательство: М.: ЮНИТИ
Год: 2003
Cтраниц: 230
Формат: djvu
Размер: 17 мб
Язык: русский

MS Excel содержит много встроенных функций, их использование значительно облегчает обработку статистической информации. В данной книге подробно рассмотрены статистические функции, с помощью которых достаточно просто и удобно проводить экономические и статистические расчеты. Все статистические функции (80 функций) распределены на восемь разделов.