Sentence examples for on the same approximation from inspiring English sources

Based on the same approximation used previously, we can note that Gammaleft(1+frac{k_{i}}{beta}right) sim left(1+Psi(1)frac{k_{i}}{beta}right) (27).

We will clarify possible inconsistencies induced by independent numerical approximations of the unperturbed system and the LDP, based on which we propose to define both the dynamic solver and the MAM on the same approximation space for spatial discretization.

It is worth pointing out that Algorithm 8 achieves the same approximation ratio on AB(R) as Algorithm 7, as long as R greedily chooses a vertex u of the largest (|{u_vdash }^P|) at each synchronous update.

We present a simple combinatorial linear time algorithm with the same approximation guarantee.

We note that Brisson et al. (2000) used the same approximation.

In the same manner, we can obtain further approximations (v_{3} x,t), ldots) Setting (beta=1) in the first approximation (24) and the second approximation (25) and after some simplifications, we obtain the same approximations as (15) and (16) on returning to the original variable.

We produced a simple pupil prototype, based on the same error function approximation of the step function in Eq. (9), but with multiplicative Gaussian noise to mimic the iris texture.

In Figure 4, the error functions are plotted on the same graph, for EM approximations, Milstein approximations and difference between EM and Milstein approximations for each stepsize.

The operators are based on the same norms as the corresponding approximations of the first derivative, which makes the construction of stable approximations to general parabolic problems straightforward.

We survey these results and show in fact that both approximations depend on the same parameters, thereby allowing to easily compute one given the other.

Due to the quadratic complexity of the standard assembly we also present an assembly sparsified by the adaptive cross approximation based on the same acceleration techniques.