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. 2012 Jun 18;3:208. doi: 10.3389/fphys.2012.00208

Table 1.

Mean relative roughness (RR), computed for exact fractal series with α exponents ranging from 0.5 to 1.5.

α Relative roughness (RR)
512 1024 2048
0.5 1.990 2.005 2.004
0.6 1.722 1.705 1.705
0.7 1.410 1.397 1.388
0.8 1.074 1.052 1.037
0.9 0.718 0.688 0.662
1.0 0.496 0.449 0.417
1.1 0.407 0.349 0.301
1.2 0.318 0.248 0.186
1.3 0.116 0.087 0.057
1.4 0.056 0.031 0.017
1.5 0.018 0.010 0.005

Results are given for series lengths of 512, 1024, and 2048 data points. Forty series have been generated for each α level and each series length. Series that correspond to the LRC range are indicated in bold.