The plot indicates necessity for phase correction to diffraction spots (i.e., structure factors) that belong in every second node of Thorn rings.
The phylogenetic signal was high in both PPCA (λ = 0.95) and PSC (λ = 1), indicating the necessity for phylogenetic correction.
The results clearly show the necessity for the proposed correction function; the proposed logarithmic nature works well, even though the correction function has not been trimmed to fit the individual developers due to the lack of available data.
Numerical experiments are conducted to illustrate the necessity of correction.
The present study clearly underscores the necessity of correction and removal of batch effects in the analysis of microarray data.
Specific measurement conditions at which the stray radiation is 5% or less of the total radiation are then derived, thereby decreasing the necessity for post-processing correction factors.
In summary, our study results underscore that shallow breathing during CT perfusion imaging of the abdomen reduces the necessity for extensive motion correction during post-processing which may minimise artefacts on parametric images and reduce errors in perfusion value calculation.
Bremer et al. ([2012]) and Mielich and Bremer ([2013]) also confirm and demonstrate for global data the necessity to use F10.7, not sunspot number for correction to solar activity (solar cycle), as it is illustrated by Figure 8.
The use of independent field assumptions for displacements and stresses removes the necessity for an in-plane shear correction factor.
This avoided the necessity of correcting for multiple testing.
