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Limit of an infinitely fast wiggling curve
The limiting infinitely fast wiggling curve
is not a function either:
Although the range of its values is , one cannot compute its
value for any specific except .
In addition, its average over any interval is zero, and its
weak limit (see the discussion of the term in 4.3.2) is zero:
However, some moments of are nonzero.
The second moment is:
Similarly, higher even moments are non-zero:
and so on.