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    Chapter

    Random Differential Equations

    Differential equations are first of all equations, so that the methods used for equations may be used – at least in principle.

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    Some Tips to Use EXCEL®

    EXCEL® is a powerful software: a complete exploration of its possibilities cannot be made here. In this chapter, we present some tips that will be useful in the sequel.

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    Optimization Under Uncertainty

    In Sect. 2.2 (page 52), we introduced the classical mono-objective optimization problem.

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    Reliability

    Reliability is a quite old idea in many areas of human activity facing uncertainties. For example, Civil Engineering faces such a difficulty since its dawn.

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    Some Useful Numerical Methods

    As indicated in the Introduction, the reader may find on the net free and commercial add-ins to make Numerical Calculus with EXCEL®. We cited some of them: MATRIX, XNUMBERS, MATHLAYER®, the Jensen Library.

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    Stochastic Processes

    The formal study of stochastic processes is not in the scope of this book, which focus on the use of EXCEL® to solve practical problems.

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    Uncertain Algebraic Equations

    Solving equations is a basic activity in most fields of knowledge – for instance, Engineering, Management, Economics, … A simple example is furnished by the basic input-output analysis introduced by W. Leontie...

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    UQ in Game Theory

    The classic text in Game Theory (GT) is the book by John Von Neumann and Oskar Morgenstern, entitled Theory of Games and Economic Behavior, published in 1944 (Von Neumann & Morgenstern, 1944), what is the culm...

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    Probabilities with EXCEL®

    EXCEL® proposes many intrinsic functions to deal with probabilities, but, as previously observed, you may also extend their performance by using add-ins. In the sequel, we recall some basic elements of probabilit...

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)

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    Chapter

    Representation of Random Variables

    As previously observed, random variables are a comfortable tool to model variability, whenever statistical data is available. Nevertheless, the complete knowledge of their distribution is rarely available, sin...

    Eduardo Souza de Cursi in Uncertainty Quantification and Stochastic Modelling with EXCEL (2022)