Expansion Jokes

  • Funny Jokes

    A pure and an applied mathematician are asked to calculate 2 * 2.
    The applied mathematician's solution: We have
    2 * 2 = 2 *1/(1-1/2).
    The second factor on the right hand side has a geometric series expansion
    1/(1-1/2) = 1 + 1/2 +1/4 + 1/8 +. ...
    Cutting off the series after the second term yields the approximate solution
    2 * 2 = 2 *(1 +1/2) = 3.
    The pure mathematician's solution: We have
    2 * 2 = (-2) *1/(1-3/2).
    The second factor on the right hand side has a geometric series expansion
    1/(1-3/2) = 1 + 3/2 +9/4 + 27/8 +. ..,
    which diverges. Hence, the solution to 2 * 2 does not exist.

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