Sentence examples for using the above formulation from inspiring English sources

However, using the above formulation, only latent variables can be both outcomes and predictors.

Figure 2(b) illustrates the 5-gene network identified using the above formulation.

Using the above formulation, in this work we investigate the feasibility of building the MAR model in the Principal Component space of sensor data and projecting it into source space, as described earlier, where causality is estimated from the model coefficients.

In this section, using the above formulations, numerical results concerning the SEP performance of cross-QAM and the comparison with rectangular QAM are presented, together with computer simulations.

We will use the above formulation for a pair of distributions F x) and G x), where G x) is a submodel or the baseline distribution of F x).

We can use the above formulation because problem (1a) and (1b) is solvable for f satisfying the assumptions of Theorem 1 and, therefore, solutions of problem (1a) and (1b) can be computed as solutions of problem (36a) and (36b) using the proper value c ∈ ( 0, c ∗ ) depending on f.

To measure the antiproliferative activities of colloidal versus monomeric forms of fulvestrant, lapatinib, and sorafenib, we used the above formulations, excluding or including 0.025% Tween-80, in cell-based assays.

Using the above two formulations, consider the following SDA.

By using the above fixed point formulation, we can define the following p-step projection iterative algorithm with mixed errors for solving the problem (3.4).

For instance, a single level algorithm, using the above S-System formulation, would be restricted to less than m-3 genes.

Depending on what types of CTSs we used as the input of the above formulation, we will get different bounds.