Sentence examples for coefficients is done from inspiring English sources

The updating of atoms and sparse coefficients is done jointly, leading to accelerated convergence.

The reconstruction of stationary coefficients is done using the first coefficient in the temporal sequence, while the nonstationary coefficients are reconstructed using the Hermite projection method.

Finally, the average material properties of the final multiscale CNTFPC (carbon nanotubes/fibre/polymeric resin composite) are assumed to be orthotropic, and the determination of the elastic stiffness elastic coefficients is done using the corresponding material constitutive relation (Reddy 2004).

Complete determination of these coefficients is done using finite element simulations for hydrostatic loadings, on the one hand, and a rigorous bound of Ponte-Castaneda (1991), Willis (1991) and Michel and Suquet (1992) for nonlinear composites for deviatoric loadings, on the other hand.

The interpretation for Tobit regression coefficients is done in a similar manner to OLS regression coefficients, but the linear effect is not on the observed outcome; instead it is on the uncensored latent variable [ 18– 218.

Calculations of Tanimoto coefficients and hierarchical clustering of chemical structures based on Tanimoto coefficients was done using the NCBI portal to PubChem (http://pubchem.ncbi.nlm.nih.gov).nih.gov

Correlation coefficients were done by multiple regression analysis.

Since no between-city heterogeneity was detected, no further adjustment to these calibration coefficients was done.

Analyses of correlation coefficients were done using the Spearman correlation (rho).

The estimation of the regression coefficients was done by least squares regression.

Comparison for significant differences between pairs of correlation coefficients was done by Fisher's Z-transformation test [ 16].