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Generating Functions in Engineering and the Applied Sciences, Rajan Chattamvelli , Ramalingam Shanmugam



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Автор: Rajan Chattamvelli , Ramalingam Shanmugam   (Райян Чаттамвелли)
Название:  Generating Functions in Engineering and the Applied Sciences
Перевод названия: Райян Чаттамвелли: Производящие функции в технике и прикладных науках
ISBN: 9783031211423
Издательство: Springer
Классификация:
ISBN-10: 3031211421
Обложка/Формат: Hardback
Страницы: 119
Вес: 0.417 кг.
Дата издания: 02.01.2023
Серия: Synthesis lectures on engineering, science, and technology
Язык: English
Издание: 2nd ed. 2023
Иллюстрации: 3 illustrations, color; 1 illustrations, black and white; xiv, 119 p. 4 illus., 3 illus. in color.; 3 illustrations, color; 1 illustrations, black and
Размер: 240 x 168
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Generating function (GF) is a mathematical technique to concisely represent a known ordered sequence into a simple continuous algebraic function in dummy variable(s). This Second Edition introduces commonly encountered generating functions (GFs) in engineering and applied sciences, such as ordinary GF (OGF), exponential GF (EGF), as also Dirichlet GF (DGF), Lambert GF (LGF), Logarithmic GF (LogGF), Hurwitz GF (HGF), Mittag-Lefler GF (MLGF), etc. This book is intended mainly for beginners in applied science and engineering fields to help them understand single-variable GFs and illustrate how to apply them in various practical problems. Specifically, the book discusses probability GFs (PGF), moment and cumulant GFs (MGF, CGF), mean deviation GFs (MDGF), survival function GFs (SFGF), rising and falling factorial GFs, factorial moment, and inverse factorial moment GFs. Applications of GFs in algebra, analysis of algorithms, bioinformatics, combinatorics, economics, finance, genomics, geometry, graph theory, management, number theory, polymer chemistry, reliability, statistics and structural engineering have been added to this new edition. This book is written in such a way that readers who do not have prior knowledge of the topic can easily follow through the chapters and apply the lessons learned in their respective disciplines.
Дополнительное описание: Types of Generating Functions.- Operations on Generating Functions.- Generating Functions in Statistics.- Applications of Generating Functions.- Bibliography.



Interpretation of algebraic inequalities

Автор: Todinov, Michael
Название: Interpretation of algebraic inequalities
ISBN: 1032059176 ISBN-13(EAN): 9781032059174
Издательство: Taylor&Francis
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Цена: 11796 р.
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Описание: This book demonstrates how interpreting abstract inequalities can optimise engineering design processes, with applications in mechanical engineering, materials science, electrical engineering, reliability engineering and risk management.

Sparse polynomial approximation of high-dimensional functions

Автор: Adcock, Ben Brugiapaglia, Simone Webster, Clayton G.
Название: Sparse polynomial approximation of high-dimensional functions
ISBN: 1611976871 ISBN-13(EAN): 9781611976878
Издательство: Eurospan
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Цена: 15952 р.
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Описание: Provides an in-depth treatment of sparse polynomial approximation methods. These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering.

Finite Form Representations for Meijer G and Fox H Functions

Автор: Carlos A. Coelho; Barry C. Arnold
Название: Finite Form Representations for Meijer G and Fox H Functions
ISBN: 3030287890 ISBN-13(EAN): 9783030287894
Издательство: Springer
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Цена: 15305 р.
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Описание: This book depicts a wide range of situations in which there exist finite form representations for the Meijer G and the Fox H functions. Accordingly, it will be of interest to researchers and graduate students who, when implementing likelihood ratio tests in multivariate analysis, would like to know if there exists an explicit manageable finite form for the distribution of the test statistics. In these cases, both the exact quantiles and the exact p-values of the likelihood ratio tests can be computed quickly and efficiently.The test statistics in question range from common ones, such as those used to test e.g. the equality of means or the independence of blocks of variables in real or complex normally distributed random vectors; to far more elaborate tests on the structure of covariance matrices and equality of mean vectors. The book also provides computational modules in Mathematica®, MAXIMA and R, which allow readers to easily implement, plot and compute the distributions of any of these statistics, or any other statistics that fit into the general paradigm described here.


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