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Exact(6)
We observe that this approximation is expected to be increasingly accurate in the regime of small synchronization errors.
A Milstein approximation is expected to produce more accurate results compared to the Euler-Maruyama method, since the Milstein method has both a weak and a strong order of convergence Δt, while the Euler method has a weak order of convergence Δt but a strong order of convergence of only (sqrt{Delta t}) [28].
In this case, the constant-variance approximation is expected to work well.
This approximation is expected to generate an error on the order of e 5, which is less than 1%.
To describe the noise, the Langevin approximation is expected to work for the phosphorylation and dephosphorylation of the abundant protein CheY.
Since ε = k c a t [ P ] T / { k o n ([ N ] T (0 ) + [ P ] T + K m ) 2 } = 5.6 × 10 − 7 ≪ 1, the total quasi-steady state approximation is expected to be good except for a transient during the small time interval 0 ≤ t ≤ t c, where 1/{ k on ([ N] T (0) + K m )} ≈ 0.02 s (Borghans et al., 1996).
Similar(53)
The approximations are expected to converge if the association-reaction coefficients are not too large and the zeroth approximations are not very far from the solution.
However, for surf zone applications the approximations are expected to give only qualitative results due to the large influence of wave nonlinearity on the vertical profiles of wave forcing terms.
System approximation 1 is expected to even perform better than the approximation 2. However, due to its computational overhead, it is not desirable.
Thus, the new approximation that is expected to have a better performance than the Max-Log-MAP algorithm can be formulated as follows[16]: max ∗ ( x 1, x 2, …, x n ) ≈ max max i = 1 : n ( x i ), 1 N ∑ i = 1 n x i, (13).
When the results obtained above are used, a power-law dependence is obtained: 1 Of course, the replacement of lknot(A) with lknot(0) in the relationship l A ≈ lknot(A) is an approximation that is expected to break down precisely in the region of validity of this equality.
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