Posers and Puzzles

Posers and Puzzles

  1. Standard memberwolfgang59
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    05 Nov '07 12:45
    Correct - rather nice I think.
  2. Standard memberPalynka
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    05 Nov '07 14:21
    Originally posted by wolfgang59
    Correct - rather nice I think.
    I don't think it's as nice as the other result. After all, with i^i you have an answer that isn't complex so, in that sense, I find it an elegant result.

    Of course, "nice" is not a mathematical term. 🙂
  3. Standard membergenius
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    05 Nov '07 15:56
    Originally posted by Palynka
    I don't think it's as nice as the other result. After all, with i^i you have an answer that isn't complex so, in that sense, I find it an elegant result.

    Of course, "nice" is not a mathematical term. 🙂
    What is nicer, n!=1x2x...xn or sqrt(2*Pi*n)*((n^n)/(e^n))?
  4. Standard memberPalynka
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    05 Nov '07 17:13
    Originally posted by genius
    What is nicer, n!=1x2x...xn or sqrt(2*Pi*n)*((n^n)/(e^n))?
    What does that have to do with anything?

    The answer to this second problem requires an expression that depends on i, while the first one has an answer defined in Real numbers. That's the difference.

    +-(1 + i)/sqrt(2) doesn't seem much different than leaving it as sqrt(i).
  5. Standard membergenius
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    05 Nov '07 17:18
    Originally posted by Palynka
    What does that have to do with anything?

    The answer to this second problem requires an expression that depends on i, while the first one has an answer defined in Real numbers. That's the difference.

    +-(1 + i)/sqrt(2) doesn't seem much different than leaving it as sqrt(i).
    the first looks nice, visually, while the second is much easier to see the value churned out, and easier to work with. They are approximatly equal, for large n.
  6. Standard memberPalynka
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    05 Nov '07 17:20
    Originally posted by genius
    the first looks nice, visually, while the second is much easier to see the value churned out, and easier to work with. They are approximatly equal, for large n.
    I'm sorry, but I still don't understand what your point is...
  7. Standard membergenius
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    06 Nov '07 10:01
    Originally posted by Palynka
    I'm sorry, but I still don't understand what your point is...
    Eessentially, that "nice" isn't a mathematical term...
  8. Standard memberPalynka
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    06 Nov '07 10:07
    Originally posted by genius
    Eessentially, that "nice" isn't a mathematical term...
    No, but I think there is beauty in some mathematical results. And beauty is not a mathematical term, either.
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