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-0.4
-0.6
-0.8
regular
-1.0
random
-1.2
-1.4
-1.6
0
0.2
0.4
0.6
0.8
1
1.2
Log average
Figure 2.25.
The SRV data for a typical walker shown in Figure 2.24 used to construct the logarithm of the
aggregated variance and the logarithm of the aggregated mean (indicated by the dots), starting
with all the data points at the lower left, to the aggregation of twenty data points at the upper
right. The SRV data curve lies between the extremes of uncorrelated random noise (lower
dashed curve), and regular deterministic process (upper dashed curve) with a fractal dimension
of D =
1
.
30 [ 100 ]. Reproduced with permission.
SRV, slope = 0.69
6
5
4
SRV shuffled, slope = 0.46
3
log 2
2
0
1
2
3
log 2 of time
4
5
6
The entropy of the SRV data depicted in Figure 2.24 is plotted versus the logarithm of time using
( 2.83 ) for the original data (slope 0.69) and the shuffled data (slope 0.46) [ 100 ]. Reproduced
with permission.
Figure 2.26.
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