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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Problems Described by Implicit Equations
verfasst von : Zbigniew Kotulski, Wojciech Szczepiński
Erschienen in: Error Analysis with Applications in Engineering
Verlag: Springer Netherlands
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Chapter 9 is devoted to more advanced problems of error analysis: problems described by implicit equations and inequalities. After formulation of the problem, some methods of approximate calculation of the probability that inequalities for random variables and functions of random variables are presented. The powerful method helping to solve such problems, the Rosenblatt transform, is presented along with applications in structures’ reliability theory. Finally, examples of simplest tasks easy to exact calculations are presented.