After some marginal fine-tuning of the given ranges, a workable definition of the Mk IV auto-folder can be given as follows:
|Figure 6: Left: PS solution; Right: Mk IV Auto-folder applied to PS sample. The vertical lines indicate the positions of the A, B, C, D and E peaks in the PS solution|
The Mk IV auto-folder strategy was based on the working hypothesis (cf. Sect. 11.1), that significant changes in correlations through the hole-cutting process are indicative of rotation curves with intrinsically noisy transition regions. This strategy has been manifestly so successful that its success must be considered as very strong circumstantial evidence supporting the view that the working hypothesis on which it is based is correct. Thus, cross-referencing Table 1 with Fig. 6 (right), we see that strong circumstantial evidence exists to suggest that the rotation curves associated with the peaks C and E have intrinsically noisier transition regions on their interiors than do those associated with the peaks B and D.
Finally, we note from Table 1 that the transition region behaviours of the two "quiet transition region'' peaks, B and D, are mutually distinct: specifically, for the B peak, the coefficient of determination changes from 20.7% to 26.3% through hole-cutting - and each of these values signifies a very strong correlation; by contrast, for the D peak, the coefficient of determination changes from 1.9% to 8.4% - the first value signifies a very weak correlation whilst the second signifies a moderately weak correlation.
As we have already noted, the sample sizes are sufficiently great that we can discount random statistical fluctuations as the source of these differences between the B and D peak rotation curves, and so the question arises of why strong correlations are present for B peak rotation curves, but are more-or-less absent for D peak rotation curves? Since the existence of strong correlations implies the existence of some coherent physical process, the question becomes, why are the correlating effects of this physical process not present for the D peak rotation curves?
These considerations all point to the need of further research.
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