| http://www.w3.org/ns/prov#value | - Also, note that there is a slight problem with the metric as presented: If $x , y \in {^\omega}\omega$ are such that $x(0) \neq y(0)$, then according to the formula we must have that $$d ( x , y ) = \frac{1}{\min \{ n : x(n) \neq y(n) \}} = \frac{1}{0},$$ which, as we have all learned, is slightly problematic.
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