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Mathematics

  • Monte Carlo simulation to find value of PI

    Monte Carlo simulation to find value of PI

    By

    Nirmal Raj Joshi
    in

    Inception While reading “Fooled by Randomness” by Nassim Nicholas Taleb, I came across a chapter discussing Monte Carlo theory. The author claimed that when bullets are fired inside a square and a circle is inscribed within it, the ratio of bullets inside the circle to the total number of bullets approximates a ratio involving π.…

  • Derivation of combined angle- Version 2

    Derivation of combined angle- Version 2

    By

    Nirmal Raj Joshi
    in ,

    In this post, I will show how to calculate the combined 3d angle. Such situation arises while designing a rigid 3d joints such as a pipeline. The coordinate-based approach can be employed to determine the actual deflection angle between two lines in 3D space. This method not only calculates the deflection angle, but also accurately…

  • Derivation of 3D combined angle

    Derivation of 3D combined angle

    By

    Nirmal Raj Joshi
    in ,

    Derivation of combined angle may become useful when you want to know the magnitude and direction of force due to bend in both XY and XZ plane. For eg in design of bend in pipeline.