Recent content by Spam

  1. Spam

    MHB What are some popular TV shows recommended by a scientist?

    I agree with Breaking Bad. Maybe my n°1 TV series. But since I'm catching up with Oz, I'm wondering if this one shouldn't be n°1 ! Anyway, they are two really AMAZING shows. Another recommanded one : Six Feet Under, maybe the only show which made me feel like I learned something while watching...
  2. Spam

    MHB Can we prove that the integral of a logarithm function is integrable?

    Oh yeah. This was a mistake. This isn't exactly what I meant. I meant : "since \( t\mapsto \ln\, t\) is not integrable on $[0,1]$" I said that because we are studying the behaviour of \(f(\frac{2}{\pi} + t)\) when \(t\to 0^+\). And we have found that : $$f(\frac{2}{\pi} + t) \sim \ln\, t$$ So...
  3. Spam

    MHB Can we prove that the integral of a logarithm function is integrable?

    Hello everybody ! I was just doing a small exercice on integration : Study the convergence of this integral : $$\displaystyle \int_{\frac{2}{\pi}}^{+\infty} \ln(\cos \frac{1}{t})dt$$ So. Ok, the study in \( +\infty \) does not cause me much trouble, it is the others which seems much...
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