Recent content by TGVF

  1. TGVF

    Challenge Math Challenge - July 2019

    I agree but for the constant C which is not needed since we have here the definite integral ##\int_0^{\pi /2} \, dx = \pi /2##. No idea for the same integral I but indefinite form, :sorry: .
  2. TGVF

    Challenge Math Challenge - July 2019

    Equation can be rewritten as: ##f(x) = x(1+c^2_1+c^2_2) +x^3 +x^5+x^7 -c^3_1-c^3_2=0## Where ##f## is an increasing function of ##x## since its derivative ##f'(x) = 1+c^2_1+c^2_2 +3x^2 +5x^4+7x^6 >1## for any real ##x##. Furthermore, ##x \rightarrow -\infty \Rightarrow f(x) \rightarrow -\infty##...
  3. TGVF

    Challenge Math Challenge - November 2018

    I think I found solution for Basics 4: Let the bug altitude in the evening of day i be noted ## z_i ## (in meters). The tree height in the evening of day n is ## L_0 +ir## with r being the daily rate of tree growth (0.20 m/day). Then the relative bug position w.r.t. tree top in the evening of...
  4. TGVF

    When was the first computer bug discovered?

    As a student (1973-76), I learned FORTRAN II programming with an IBM1130, (codes made of punch cards, extremely slow execution). As engineer, I very much appreciated the introduction of the HP9845A (1979), with featured specific high speed magnetic cassettes and was very easy to program using...
  5. TGVF

    A Singularity also with Euler-Rodrigues parametrisation?

    Excellent! I should have spotted this reference before posting since I know some other publications of Olivier Bauchau (relevant to non linear elasticity modelling of slender beams). Thanks a lot for support!
  6. TGVF

    A Singularity also with Euler-Rodrigues parametrisation?

    Hello, Trying to develop a multibody dynamics software of my own (just to understand the nitty-gritty details of such stuff), I chose the Lagrangian equations approach, with the Euler-Rodrigues parametrisation (quaternion) for 3D rotation as it is supposed to remove the gimbal locking...
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