Sentence examples for use the formulation in from inspiring English sources

Here we will use the formulation in Equation 3 as can be verified by inspecting the coding of method L in [ 25].

In this section, we use the formulations in (16a)–(16f) and (21a)–(21d) to develop tight inner and outer bounds on the SPCGS rate region.

We proceed using the formulation in [7].

(hat {e}_{i,k}^{u}) can be found using the formulation in [13].

Figure 12 shows the normalized spectrum obtained using the formulation in Section 3 which mistakenly assumes proportional source spectra.

Although an optimal solution can be obtained using the formulation in "Mathematical formulation" section, this is only feasible for small scale problems.

In that case, the SPCGS region coincides with the capacity region, and can be precisely (and efficiently) computed using the formulation in Section 5.2.

In this work we use the formulation we developed in [21].

The corresponding nth cumulant is obtained from (6) using the formulation presented in the following Proposition [10].

Figure 1 depicts the complete preparation process of GO/PEI hydrogels by combining the GO suspension and the PEI aqueous solution using the formulation listed in Fig. 1e.

We can therefore use the PL formulation in order to study and understand the sources of poor nonlinear convergence for the weakly penalized formulation.