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The electronic states of ZnO clusters with and without an oxygen vacancy were calculated by first-principles calculations using the discrete variational (DV) Xα molecular orbital method.

Thus, to determine the structure of Ni C and Ni S solid solutions and estimate the contribution of impurities to hardness, the enthalpy of solution and misfit strain were calculated by first-principles calculations.

Different from existing robust triangulation pipelines, the issue of outliers is addressed by directly searching for the optimal 3D points that are within either the theoretical correct error bounds calculated by second-order cone programming (SOCP) or the efficiently calculated approximate ranges.

According to NBO analysis, the second-order perturbation stabilization energy ΔE(2) between the lone pair (LP) orbital of atom Y and σ antibonding orbital of X-H bond are computed and presented in the Table 3. ΔE(2) is calculated by second-order perturbation theory analysis of the Fock matrix [49] and associated with a charge transfer interaction between the relevant donor-acceptor orbitals.

It is calculated by first taking the absolute deviation between the actual value and the forecast value.

The average word frequency for the COWAT was calculated by first averaging the word frequencies for each letter used.

The achieved fibre volume fraction of the manufactured composites was calculated by first using the average thickness of the composites and then using the density of the composite.

The structural, electronic and mechanical properties of identified eutectic carbides of the self-designed Fe-Cr-Mo-W-V-C alloy were calculated by first-principles.

The wet weight of the sample scaffold was calculated by first blotching the sample surface with filler paper to remove adsorbed water, then weighing quickly.

BSI is calculated by first calculating the area of a hotspot classified as a metastatic lesion and then calculating the area of the corresponding skeletal region obtained from the segmentation of the skeleton (e.g. the skull or pelvis).

The electronic structures of pure, mono-doped (either Mo or N), and co-doped (Mo and N) SrTiO3 are calculated by first principles with the Tran-Blaha modified Becke Johnson potential.

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