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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.

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.

Each of the three ligands was immersed in an explicit water solvent, geometry-optimized by classical MM and QM/MM methods, and subjected to FMO calculations with 2-, 3-, and 4-body corrections under several fragmentation options.

Here we illustrate that by using many-body corrections through time-dependent (TD) density functional theory (DFT), and proper identification of the STS gap, we can reproduce all known, and predict new as yet unknown, experimental data for such AGNRs.

Abstract: We explore with self-consistent 2D FORNAXsimulations the dependence of theoutcome of collapse on many-body corrections to neutrino-nucleon cross sections, thenucleon-nucleon bremsstrahlung rate, electron capture on heavy nuclei, pre-collapse seedperturbations, and inelastic neutrino-electron and neutrino-nucleon scattering.

For example, techniques developed for nuclear physics have been used to calculate three-body corrections to the energy density of a Bose-Einstein condensate whose atoms have large scattering lengths.

The embedding approach (section 2.2) is simply called embedded X-Pol, and the many-body corrections to it will be called EMB2 and EMB3.

Charge penetration effects are much smaller in many-body corrections using the PMO semiempirical method, as illustrated for a range of water clusters with and without periodic boundary conditions.

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