1. Standard membergenius
    Wayward Soul
    Your Blackened Sky
    Joined
    12 Mar '02
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    15128
    10 Sep '04 11:19
    alrighty-what does e^(pi*i) equal, and why?
  2. Joined
    12 Mar '03
    Moves
    36668
    10 Sep '04 12:05
    Originally posted by genius
    alrighty-what does e^(pi*i) equal, and why?
    The definition of e^(ix) = cos(x) + i*sin(x)

    applied for x=pi:

    e^(i*pi) = cos(pi) + i*sin(pi) = -1 + 0 = -1
  3. Joined
    08 Dec '03
    Moves
    3140
    10 Sep '04 13:21
    A formula that includes the five most important values in mathematics:

    e^(i*pi) + 1 = 0

    -Ray.