Why does "Turn! Turn! Turn!" equal 241217.524881?
Solution 1:
It appears that Google search uses the following syntax for conversions between different units or currencies: target_unit! <expression>
(Though I can't find any documentation for this). For example, searching for cm! 1m + 5 yards
yields 557.2 centimeters
. Interpreting a turn to be a dimensionless quantity equal to $2\pi$, we can try to make sense of the results:
-
Turn ! (Turn !)
means "calculate $\text{Turn}!$ and express it in the unit turn", which comes out to $\frac{\Gamma(2\pi +1)}{2\pi}\text{ Turn}$, or approximately $195.936116 \text{ Turn}$ (as observed by Mikael). -
Turn! Turn! Turn!
is interpreted as(Turn ! (Turn !)) * (Turn !)
, where we make the calculation from the previous bullet point and are left with a product of something in the unit turn and a number, which Google evaluates by throwing away the unit information in the first term and calculating the product of the two numbers. Hence, we end up with $\frac{\Gamma(2\pi+1)}{2\pi}\cdot \Gamma(2\pi+1)$ as the result.