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The chemical potential values of all the mentioned models are negative which indicate that all structures are stable from a thermodynamic approach (see Table 1).

Furthermore, the deformation energy of the NH2NO2 molecule and total deformation energy of the A-a, A-b, A-c, A-d, A-e, A-f, B-a, B-b, B-c, B-d and B-f models are negative.

The formation energies of substitutional Co, Ni, and Cr-doped models are negative and less than those of the models substituted by other transition metals under O-rich growth condition.

The NBO and Milliken charge around the NH2NO2 molecule (Δρ NBO and Δρ mulk) and the maximum amount of electronic charge (ΔN) for the A-a to B-j models are negative (see Tables 2, 3).

Comparison results show that the adsorption energy of the B-e, A-j and B-j models is positive due to dissociation of the NH2NO2 molecule on the surface of the nanosheet, whereas the E ads values of the other models are negative and these adsorbed models are exothermic.

All models are negative binomials; standard errors are calculated with Huber-White sandwich estimators.

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The coefficient for this metabolic marker in the C24-heterosis models is negative, which indicates higher heterosis potential of RILs with lower salicylic acid levels.

Tuna species were considered to be affected by seamounts if the distance to seamount term improved the model (i.e. if the ΔAIC between the two models was negative).

All models were negative binomial regression models.

The estimates for cross-sectional and longitudinal parameters for both models were negative, which indicated a consistent negative association between facility-level Hb variation and Hb measurement frequency and between facility-level Hb variation and ESA dose adjustment frequency.

All the coefficients of indicator variables for different levels of SF-6D and EQ-5D-3L dinensions in the respective regression models were negative and most of them were statistically significant (Tables  2 and 3).

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