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The Statistical Stability Phenomenon, Gorban


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Автор: Gorban
Название:  The Statistical Stability Phenomenon
ISBN: 9783319435848
Издательство: Springer
Классификация:





ISBN-10: 3319435841
Обложка/Формат: Hardback
Страницы: 322
Вес: 0.69 кг.
Дата издания: 2017
Серия: Mathematical Engineering
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 7 illustrations, color; 108 illustrations, black and white; xxxix, 322 p. 115 illus., 7 illus. in color.
Размер: 243 x 164 x 29
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This monograph investigates violations of statistical stability of physical events, variables, and processes and develops a new physical-mathematical theory taking into consideration such violations – the theory of hyper-random phenomena. There are five parts. The first describes the phenomenon of statistical stability and its features, and develops methods for detecting violations of statistical stability, in particular when data is limited. The second part presents several examples of real processes of different physical nature and demonstrates the violation of statistical stability over broad observation intervals. The third part outlines the mathematical foundations of the theory of hyper-random phenomena, while the fourth develops the foundations of the mathematical analysis of divergent and many-valued functions. The fifth part contains theoretical and experimental studies of statistical laws where there is violation of statistical stability.The monograph should be of particular interest to engineers and scientists in general who study the phenomenon of statistical stability and use statistical methods for high-precision measurements, prediction, and signal processing over long observation intervals.
Дополнительное описание: Features of the Statistical Stability Phenomenon.- The Phenomenon of Statistical Stability and its Properties.- Determinism and Uncertainty.- Formalization of the Statistical Stability Concept.- Dependence of the Statistical Stability of a Stochastic Proc



The Theory of the Moir? Phenomenon

Автор: Isaac Amidror
Название: The Theory of the Moir? Phenomenon
ISBN: 1447156919 ISBN-13(EAN): 9781447156918
Издательство: Springer
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Цена: 16769.00 р.
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Описание: It should be noted, however, that the new subtitle of the present volume may be somewhat misleading, since this book also treats (in Chapters 10 and 11) moire effects between repetitive layers, which are, in fact, geometric transformations of periodic layers, that are generally no longer periodic in themselves.

Limits Of Mathematical Modelling In The Social Sciences, The: The Significance Of Godel`S Incompleteness Phenomenon

Автор: Doria Francisco Antonio
Название: Limits Of Mathematical Modelling In The Social Sciences, The: The Significance Of Godel`S Incompleteness Phenomenon
ISBN: 1786343150 ISBN-13(EAN): 9781786343154
Издательство: World Scientific Publishing
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Цена: 15523.00 р.
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Описание:

Current mathematical models are notoriously unreliable in describing the time evolution of unexpected social phenomena, from financial crashes to revolution. Can such events be forecast? Can we compute probabilities about them? Can we model them? This book investigates and attempts to answer these questions through G del's two incompleteness theorems, and in doing so demonstrates how influential G del is in modern logical and mathematical thinking. Many mathematical models are applied to economics and social theory, while G del's theorems are able to predict their limitations for more accurate analysis and understanding of national and international events.

This unique discussion is written for graduate level mathematicians applying their research to the social sciences, including economics, social studies and philosophy, and also for formal logicians and philosophers of science.


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