Sentence examples for illustrate the estimates from inspiring English sources

In order to illustrate the estimates of Theorems 1 and 2 we plot the error for a series of quasi-uniform meshes in Figure 5 for (a_{F} = a_{F}^{(3)}).1 As in [1] no convergence is observed when first order edge functions ((k=1)) are employed which implies that Theorem 2 is sharp for (k=1).

Figure 1c, e and g use the simplest case of Simulation1 to illustrate the estimates by the method of moments and by the three approaches.

A real data set is analyzed to illustrate the estimating procedure.

These plots also illustrate the estimated thresholds for each of the dose response functions.

Figures  1 and 2 illustrate the estimated marginal means both pre- and post-injury for the VAS and the descriptive score, respectively.

In order to illustrate the estimated relationship of the z variables and cognitive function, we present in Table 3 the results of a simulation performed using individuals aged 60 years.

This can be observed from the results shown in Table 4 (P < 0.001), and also from the four figures that illustrate the estimated means of PSQI, FES, TMT part A, and TMT part B between the Tai chi and control groups over the test times.

Figure 12 illustrates the estimates of horizontal stress based on numerical models of several backfilled stopes of the same height (H = 45 m) but having various widths (B) ranging from 4.5 to 22.5 m.

Table 3 illustrates the estimates for the level of adoption for target HIT applications across the nation.

Figure 8 illustrates the estimated results on a temporal basis using the two methods.

It illustrates the estimated auditory spectrum (dashed line) caused by a distorted 5 kHz sine signal.