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 Mar9 awarded Notable Question Sep24 awarded Autobiographer Jul2 awarded Curious Jun16 awarded Popular Question Nov29 awarded Notable Question May16 comment Simplify difference of two arc tangents? Thanks Joseph, I will have to dig into it in more detail. May16 revised Simplify difference of two arc tangents? added 43 characters in body May16 asked Simplify difference of two arc tangents? May11 awarded Popular Question May3 accepted Stuck on 'differentiating the integral from above' for computing of a PDF May2 comment Stuck on 'differentiating the integral from above' for computing of a PDF Wait... is it because $\frac{d}{dz}F_Y(-z) = \frac{d}{dz}[F_Y(\infty) - F_Y(z)] = \frac{d}{dz}[1 - F_Y(z)] = -f_Y(z)$ ?... May2 comment Stuck on 'differentiating the integral from above' for computing of a PDF Thanks, but can you please explain how $\frac{d}{dz}F_Y(-z) = -f_Y(z)$?.... May2 asked Stuck on 'differentiating the integral from above' for computing of a PDF Feb24 awarded Yearling Jan26 comment What is the intuition behind a function being 'weakly differentiable'? Christopher, by sign(x[n]) I just mean the non-linear operation of taking the sign of that particular number in the vector. For example, in my case, if my x[n] = [-2 1 4 -18 4 -3], then sign(x[n]) = [-1 1 1 -1 1 -1] Jan25 accepted What does upside down “v” ($\wedge$) mean in this equation? Jan25 comment What is the intuition behind a function being 'weakly differentiable'? @GEdgar This is why I put intuition in the title. I am not looking for an exposition, (if I was, wikipedia would have sufficed), but an intuitive explanation. One thing that would help are examples of functions that are weakly differentiable. (For example, y = |x| is mentioned here. That is great - what other functions might also be weakly differentiable?) Examples like this can go along way to color my understanding of the issue. Thanks! Jan25 comment What does upside down “v” ($\wedge$) mean in this equation? @user1551 Thanks, if you make your comments into an answer I can accept it. Jan25 comment What does upside down “v” ($\wedge$) mean in this equation? @GerryMyerson Yes, it would seem to mean minimum after all. Jan25 comment What is the intuition behind a function being 'weakly differentiable'? Thanks Henry, I see that both answers have the y = |x| as an example. What other examples of weakly differentiable functions might there be besides this?