The effective diffusion coefficients of ATP and ADP that are obtained in this approximation are different due to the different interaction of ATP and ADP with the enzymes that belong to the pathway.
The new schemes are characterized by their nonlinear two-point flux approximation, which is different from the existing ones and has no constraint on the associated interpolation algorithm for auxiliary unknowns.
This is not surprising since the criterion adopted in[14] focuses only on minimizing the aggregate errors between the multi-scale channel and its single-scale approximation, which is different from our criterion.
end{aligned} (1 By (f x,varepsilon ),) we denote the fractured line connecting the points ( f(x_{0}),ldots,f(x_{k}),ldots,f(x_{n}).) This line will be considered as an approximation which is different from the one used before.
Of lately, by applying strong approximation method which is different from Gut and Spătaru's, Zhang [8] gave the sufficient and necessary conditions for this kind of results to be held.
Approximation on the spherical cap is different from that on the sphere which requires us to construct new operators.
Rainbow attack is different from feature approximation methods and does not aim at predicting a new feature vector.
The rainbow attack is different from feature approximation methods and its success mainly depends on the availability of a huge biometric database.
As noted above, it was already shown [ 32] that the algorithm provides a 1/2-approximation, however the approach used here is different and of separate interest.
