Stupid email

Discussion in 'Free Thoughts' started by domesticated om, Feb 12, 2007.

  1. domesticated om Stickler for details Valued Senior Member

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    3,277
    This is actually a math question, but I'm not posting it in the math section for two reasons...

    1. I'm just looking for the answer to the question (my immediate intention is not to learn anything new......although I probably will anyway)
    2. The reason behind this question is silly.

    Here is the problem:
    \( 0.002+\displaystyle e^{i\pi}+\sum_{a=1}^\infty\frac{1}{2^n} \)

    I am not the most mathematically minded person in the world, so I don't currently possess the knowledge required to figure this one out.

    ....at any rate, the reason behind this question is due to an email that was forwarded to me from a friend. the email depicts an "angry customer" who wrote a check to pay a bill, and wrote it in this notation. I'm curious as to what the actual dollar value was.
     
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  3. phonetic stroking my banjo Registered Senior Member

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    Isn't this to do with the guy that used his US cellphone in Canada. They said the rate was 0.002 cents and actually charged him 0.002 dollars?

    http://verizonmath.blogspot.com/
     
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  5. domesticated om Stickler for details Valued Senior Member

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    .....ah. I knew there was something else to it.
    The email I received didn't go into much detail, and did not link to that blog
     
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  7. Dinosaur Rational Skeptic Valued Senior Member

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    The series sums to +1 and the exponential equals -1

    The expression equals .002

    Is there a typo? Perhaps it should be .02 instead of .002
     
  8. weed_eater_guy It ain't broke, don't fix it! Registered Senior Member

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    Actually, the series equals 2, exponential is -1, so 0.002 + 2 -1 = 1.002
     
  9. Raithere plagued by infinities Valued Senior Member

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    I would have sent them $1.01 and then threatened them with a lawsuit if they didn't send me my change.

    ~Raithere
     
  10. domesticated om Stickler for details Valued Senior Member

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    Possibly. If it wasn't "a=1" then it may have been "n=1"

    \( 0.002+\displaystyle e^{i\pi}+\sum_{n=1}^\infty\frac{1}{2^n} \)
     
  11. Absane Rocket Surgeon Valued Senior Member

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    8,989
    The answer is 0.002 as you have it written down.

    e^(pi*i) = -1 and 1/2 + 1/4 + 1/8 + ... = 1.
     
  12. weed_eater_guy It ain't broke, don't fix it! Registered Senior Member

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    oh it starts from 1... oops, you were right, I did it from zero! my bad
     

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