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At d opt, the combined effect is maximized, while the contribution of Link 2 energy tends to be smaller when d 1 - d 2 < d opt (In this case, the p e value is already very small and hence the contribution of correlation is fully exploited).
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A main difference between our approach and that of the previous study [ 43] is that sectors in our approach are defined based on coevolution analyses derived from CAPS, while those of Halabi and colleagues [ 43] were identified using statistical coupling analyses (SCA) to determine the contribution of correlations to conservation profiles.
The parameter α controls the contribution of the correlation r mj such that correlation values can contribute linearly (α = 1) or non-linearly in the running sum.
The contribution of the correlation (cohesive) energy in dusty plasma is of essential importance in these phenomena and they can be reproduced by taking the correlation energy into account properly.
With this analysis we aimed to reveal the contribution of the correlations to the differences in salinity tolerance observed in Table 1.
The results of (Schwartz et al., 2012; Granot-Atedgi et al., 2013) suggest that the contribution of noise correlations to shaping the population response to stimuli will increase significantly with network size.
(A ) By summing and subtracting the four quadrants (top labels, e.g., '++') in four different patterns, we isolated the contributions of various correlation types (side labels, e.g., 'odd') to the weighted 4-quadrant model (Appendix 7 ).
Our analysis of the social interaction network underlying the group behavior relied on a family of maximum entropy models, which enabled us to uniquely dissect the contribution of different orders of correlations in the group.
The lower p k is, the higher the contribution of the statistically significant correlation observed between g i and g j in dataset D k. Within the set D, different datasets may be relevant to different gene pairs, as not all genes appear in all datasets.
Evaluation of the degree of the contribution of common genetic factors (genetic correlation (RG)) to correlation of LDD and BMD was carried out simultaneously controlling for the effects of other covariates.
It was not possible to obtain the confidence intervals for these estimates due to restrictions in Mx, but as the standardised parameter estimates which are used in the computation of the rPh, rPh-due-to-A and the rPh-due-to-E are all significant (the CIs do not overlap with zero), the phenotypic correlation and the contribution of A and E to the phenotypic correlation must be significant.
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