Sentence examples for approximation and the same from inspiring English sources

Then ( F : = r circ F_1) is the required approximation, and the same retraction provides a homotopy between f and F (the homotopy between f and (F_1) being obvious).

Figure 3 shows the exact value of minimum and its approximation under the same condition.

As shown in Additional File 1 the Master equation and Langevin approximation yield the same results for receptor signalling [ 58].

Using the differential transport equation model for turbulent matter flux and the low Reynolds number corrections for normal Reynolds stresses approximation gives the same results and somewhat more exact reproduction of fine features of diffusion field both near the source and near rigid surfaces.

It has been shown that when μ a ≪ μ s ′ both the diffusion approximation and more accurate descriptions like Monte Carlo or P∞ approximation produce the same value for the ratio that ensures a success of the approach even when the second condition for the diffusion approximation, μ ′ s ⋅ r > > 1 is not valid.

The convergence rate of the DBFDA of K ∼ ˙ T and of the numerical solution for λ 1 ∗ based on this approximation is the same as that of the LBFDA of K ∼ ˙ T and of the numerical solution for λ 1 ∗ based on this approximation.

RMLA and its approximation RRWA yielded the same effect estimates, and estimating the marker effects with RRWA took less than 1 sec for medium-sized data sets (Table 2).

However, the large argument approximation remains the same.

The researchers' new software can provide a very good approximation of the same calculation in a matter of seconds.

We guarantee that our approximation has the same topology as the exact Minkowski sum.

Since the lower approximation of a cluster is a subset of its upper approximation, this also automatically assigns the sample to the upper approximation of the same cluster.