Analytical solution for the problem of frictional-elastic collisions of spherical particles using the linear model.
If the information for α, PSNRfull, and PSNRpeak are given, the sapeak can be estimated using the linear model in Equation (2).
Figure 7 presents product variation with cell growth and substrate consumption using the linear model and Fig. 8 using the exponential model.
Hence it would be possible to directly (without iteration) find the solution of the nonlinear Eq. (2) using the linear model for any given controlling parameter quite different from that of training runs.
This behavior was not observed in the exponential inhibition model as shown in Fig. 6, confirming our earlier assertions with the yield coefficients that using the linear model in a control policy will result in high productivity.
Using the linear model, different regression coefficients appeared between the extension of the high and medium agro-ecological suitability zones and the number of high and late medieval settlements.
Given a car position, the natural frequencies and mode shapes of an elevator traveling or compensation cable are calculated using the linear model and compared with those from the nonlinear model.
The governing equation of the scalar dissipation rate is solved for transient conditions and two different formulations of the same model are tested and compared: one using the linear model for the conditional velocity and one including the gradient diffusion model.
We assessed this hypothesis using the linear model given above with only N2 and MA24 included.
Identification of significant differentially expressed genes was determined using the Linear Model for Microarray Data (Limma) package in Bioconductor [19].
By using the linear model, 63% patients (40% + 23%) with a predicted EWL within the 1st quartile achieved an actual EWL <48.9% (i.e., the median value of actual EWL).
