Sentence examples for theoretical established from inspiring English sources

Figure 8 offers the receiver operating characteristic (ROC) comparison, that is the detection power (beta _{overline {delta }^{text {lr}}}) as a function of FAR α 0, of both empirical and theoretical established results in (11) and (12).

Finally, a numerical example is provided to verify the theoretical results established in this paper.

Lorillard illustrates two interesting points that are consistent with the theoretical framework established in the previous Parts of this Note.

According to the theoretical models established, the influence of the transverse offsets on coupling efficiency and beam quality with and without a microlens array were compared.

The results of these tests indicated that many of the theoretical principles established for round nozzle virtual impactors can be successfully applied to slit nozzle virtual impactors.

The advantages of the rotatable solar array are studied using a MATLAB computer program based on the theoretical model established in this paper.

In this section, numerical simulations are provided to verify the theoretical results established in the previous sections.

Additionally, the theoretical calculation established that the thermal conductivity of graphene can be influenced by the dimensions, edge roughness, and defect density.

Obviously, all the theoretical properties established in Section 4.3, as well as the basic Lemma 1, hold for each one of the M independent filters.

The results of the numerical experiment are presented in this section, which confirms the theoretical bounds established in the previous section.

With the exception of one item (22), the six exploratory Mokken scales correspond well with the theoretical partitioning established in previous research (Table 3).