Sentence examples for approximations were compared from inspiring English sources

The local approximations were compared with the FEM results for verification.

Obtained approximations were compared with the exact DCT and assessed in the context of JPEG-like image compression.

Both approximations are compared vs. the exact series solution in order to establish their limits of validity.

These approximations are compared with experimental results obtained during propane (with low feed concentration) or methane oxidation.

Finite-difference (5-point) and finite-element (9-point) spatial approximations are compared for different grid aspect ratios.

The discrete and finite element approximations are compared based on accuracy and the complexity of the resulting models.

The predicted temperatures of the three approximations are compared alongside with experimental data reported by Nielsen and Fleischmann (Fire Engineering Research Report, 2000).

Figure 6 shows the results of the bias in P FA for V N /σ B =2 (low V N /σ B case) and V N /σ B =4 (desired V N /σ B case), where the bias in P FA under the two approximations are compared to the P FA obtained from the Monte Carlo integration.

The accuracy of the asymptotic formulas for the equilibria is illustrated in Fig. 5, where the approximations are compared with numerically obtained equilibrium values.

The results, from the presented approximation, were compared with a more rigorous obtainment method.

The obtained p-values (computed using a normal approximation) were compared to the level of significance α = 0.001, using the Bonferroni correction to account for the multiple comparisons.