Recent content by Steve Zissou

  1. Steve Zissou

    Simple problems that Wolfram can't do

    Ok I kid you not on this one: Integrate[t^(z-1)*Exp[-t],{t,0,\infty}] Yields the answer: Try the following: Use different phrasing or notations Enter whole words instead of abbreviations Avoid mixing mathematical and other notations Check your spelling Give your input in English
  2. Steve Zissou

    Simple problems that Wolfram can't do

    I'm not sure how to tell WolframAlpha if certain variables are complex, real, or any sort of bounds on parameters.
  3. Steve Zissou

    Simple problems that Wolfram can't do

    @BWV Ok that's unexpected. I've had AI give some wacky math answers so I haven't tried using that tech for a while for math.
  4. Steve Zissou

    Simple problems that Wolfram can't do

    @vela Whoa that's unexpected. So it will do it, but there is some resource limits that I was unaware of?
  5. Steve Zissou

    Simple problems that Wolfram can't do

    Hi everyone, I thought I would share a thought - apparently simple problems that Wolfram can't seem to handle. I'll go first: $$ \int_{0}^{\infty}e^{-x^p}dx=\frac{1}{p}\Gamma\left( \frac{1}{p} \right) $$ Entering this into Wolfram alpha: Integrate[Exp[-x^p],{x,0,\infty}] Gets you nowhere. Ha...
  6. Steve Zissou

    A Challenging integral involving exponentials and logarithms

    Update: I found this paper: "The Convolution of the Normal and Lognormal Distributions," Hawkins, South African Statistical Journal (1991) 25, 99-128 In the paper, Hawkins presents the problem as I did, but also using the transformation suggested by @renormalize . Then Hawkins goes on to say...
  7. Steve Zissou

    B 1lb cube of 99% pure copper?

    Data: 1 lb of Cu There are 453.592 grams in a pound the density of Cu is 8.94 g per cubic cm 1 cubic centimeter is 0.03102 cubic inches Calculation: $$ \left( 1\,lb\, Cu \right)\left(\frac{453.592\,g\,Cu}{1\,lb\,Cu}\right)\left( \frac{1\,cm^3}{8.94\,g\,Cu} \right)\left(...
  8. Steve Zissou

    A Challenging integral involving exponentials and logarithms

    Thank you, renormalize! I am familiar with that somewhat cryptic paper. Also I have been mostly unsuccessful in finding more discussion out there of the NLM distribution. Anyways I like your substitution which sets aside one parameter, that's nice. It's the darn double-exponential that seems to...
  9. Steve Zissou

    A Challenging integral involving exponentials and logarithms

    Thank you phyzguy! I think you've go the right idea. Still, it seems strange to me that such familiar functions haven't been examined in this way before.
  10. Steve Zissou

    A Challenging integral involving exponentials and logarithms

    Looks like Wolfram Alpha can't do it, nor are there any published tables anywhere that have been helpful. That's why I'm enlisting the help of my friends here. Any ideas would be warmly appreciated.
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