In the figure, the delay applied in the upper correlation branch is also modified to 2T B instead of the original length T A. These modifications not only improve the resulting peak of the correlation, but also reduce the computations required in the synchronization operation.
Then the validation of the traditional correlation applied in the molten salt STHE-SBs was conducted.
The solution complexity related fitness function of Equation (8) can not be applied in conjunction with the correlation based fitness function of Equation (10) because it leads to the trivial result of a single endmember.
Statistical regression was also applied in order to determine correlations between coal properties and the pyrolysis product yields and composition.
For further investigation into the intrinsic property of entropy applied in hydrological uncertainty analyses, correlations of entropy and other statistics at different time-scales are also calculated, which show connections between the concept of uncertainty and variability.
Importantly, without knowing the precise identity of the factor(s) produced by these bacteria, or the concentrations at which they are toxic to humans compared to those applied in this report, any correlations to PD pathogenesis are indirect and should be taken with caution, as this remains to be resolved through future studies.
First, a global bivariate spatial correlation analysis was applied in order to calculate a single measurement of spatial correlation respectively between SVI in 1991 and SVI in 2001, between SVI in 2001 and SVI in 2011, and between SVI in 1991 and SVI in 2011.
For distance metrics, the cosine, Person correlation and Spearman correlation are commonly applied in hierarchical clustering.
Bivariate wavelet analysis is applied in order to determine the correlation and the slope of the δ18O – temperature relationship over the time frequency plane.
Besides of the variations in the culture and stress conditions applied in these works, the weak correlation can be clearly explained by several other important differences between the stress conditions employed.
