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Before the correlation analysis, several sources of spurious variance were also removed from the data through linear regression: (i) six parameters obtained by rigid body correction of head motion, (ii) the whole-brain signal averaged over a fixed region in atlas space, (iii) signal from a ventricular region of interest, and (iv) signal from a region centered in the white matter.
Sources of spurious variance were then removed from the data through linear regression: six parameters obtained by rigid body correction of head motion, the CSF and WM signals.
Several sources of spurious variances and their temporal derivatives were then regressed by putting these variances into the following regressors: (i) six parameters obtained by a rigid body correction of head motion and (ii) the whole brain signal averaged over a whole brain mask.
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The important findings were that QM/MM optimization was preferable to obtain reliable hydrated structures of the ligands, that the 3-body correction was important for quantitative evaluation of the solvation energy, and that the dehydration effect was most remarkable near the hydrophobic sections of the ligands.
This potentially indicates a sublattice symmetry breaking and gap formation due to many-body correction in this LL [31 33].
At temperatures of 2~180 and 220~250 K, the relative resistance ∆R strongly increases as temperature increases, indicating that an energy gap forms due to many-body correction in Landau Level.
Thus, the difference in parentheses in eq 6 gives the two-body correction energy, Δ E IJ, accounting for exchange and charge delocalization effects at the Hartree Fock level plus dispersion-correlation contributions when correlated methods are used.
The difference is particularly striking at the two-body correction level, with average errors of 2.2 and 1.5 kcal/mol from VMB2@HF and VMB2@PMO, as compared with 4.2 and 6.1 kcal/mol for EMB2@HF and EMB2@PMO, respectively.
The collection of models presented here summarizes thedependence of the CCSN GW signal on the progenitor mass, equation of state, many-body corrections to theneutrino opacity, and rotation.
The usage of hybrid functionals (for example, Heyd Scuseria Ernzerhof) or many-body corrections like the GW approximation were shown to improve the agreement with experimental band gaps, but they are much more computationally demanding than pure DFT29,30.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com