Recent content by Black_Hole_93

  1. B

    I Heavyside step function chain rule

    Thanks for your reply! Yep, I made an editing error...Of course it should read: $$f(ax) \rightarrow f(ax) \left{(1-\alpha) [\theta(a(x-x_1)) \theta(a(x_2-x))]+ \theta(a(x_1-x)) + \theta(a(x-x_2)) \right}$$ Then the second equation should also make sense. But I am still not sure if one could...
  2. B

    I Heavyside step function chain rule

    Hi, I have a probably very stupid question: Suppose that there is an expression of the form $$\frac{d}{da}ln(f(ax))$$ with domain in the positive reals and real parameter a. Now subtract a fraction ##\alpha## of f(ax) in an interval within the interval ##[ x_1, x_2 ]##, i.e. $$f(ax)...
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