Surfaces regressive

In the solid phase, well below the regressing surface, the second and third terms of Eq. (13.10) may be neglected because no chemical reaction occurs and no irradiation energy penetrates through the regressing surface. Thus, Eq. (13.10) is expressed by... 

Physicochemical Model. In constructing the GDF model, it is assumed that gasification at the solid regressing surface is driven by conductive heat feedback from a two-stage flame occurring in the gas phase (see Figure 1). This solid-to-gas phase step is generally endo-... 

It is clear that Eq. (5.70) results from the general relation (5.3). In this case, when k= 2, we have a regression surface whereas, when k>2, a hypersurface is obtained. For surface or hypersurface constructions, we have to represent the corresponding values of the process parameters (factors and one dependent variable) for each axis of the phase s space. The theoretical starting statistical material for a multiple regression problem is given in Table 5.11. 

M KCl were performed on the PCA 101 titrator. .. at 25 °C for amiodarone, metoprolol and ramipril and at 37 °C for atenolol. The pKa values of metoprolol, atenolol, and ramipril were determined in 0.15M KCl. For die extrapolation of the aqueous pKa of amiodarone, we used the Yasuda-Shedlovsky plot (4). Apparent pKa values (+ log [H2O]) in the medianol/O.lSM KCl mixtures at ratios between 47 and 71%(w/w) methanol were plotted against the inverse dielectric constant... and the pKa of the molecule in 100% aqueous solution was extrapolated by linear regression." surface H2O Ferreira J, Brasseur R, Chatelain P and Ruysschaest J, Properties of... 

One intuitively appealing measure of influence would be the deleted regression surface shift. In developing a standardized form of this shift for assessment, it is discovered that the result is identical to the standardized residual of Eq. (49) Hence, that statistic may be retained to provide this additional meaning. And in passing it is noted that the surface shift is... 

Figure 5.7 A sketch of the best-fit polynomial regression surface.

Qiu, P. The local piecewisely linear kernel smoothing procedure forfitting regression surfaces. 

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