Figure 8 indicates that a plot of 
against 
has a slope close to zero, implying 
, for 
.
Here, 
is dependent upon N, the number of points in the time series
used. From figure 8, it is seen that 
grows apparently without
limit, as N increases, at least for N up to 
. This in turn implies
that 
is self-similar over time scales up to at least 
token passes.
Figure 8: Log. of normalised standard deviation of aggregates plot for
time series, for 
, 
and 
points respectively. Again,
M = 100 and the load is 60%. The more points that are used in the
calculation, the larger the range over which the slope of the graph is close
to zero (implying 
).