Sentence examples for in the forthcoming analysis from inspiring English sources

In the forthcoming analysis, both of these options are considered.

In the forthcoming analysis, it is assumed that the auxiliary TX chains are linear.

This section begins with a basic result, which plays a pivotal role in the forthcoming analysis.

In the forthcoming analysis, we write (Theta^{gamma}_{omega}) instead of (Theta^{gamma}_{omega}(X)).

Now, we establish the following lemma, which will play an important role in the forthcoming analysis.

We need the following well-known results in the forthcoming analysis.

In order to facilitate the presentation that follows, we will make a slight abuse to the OQAM definition, by incorporating the phase factors ej ϕ p,0) in the training symbols, resulting in x p,0)=a(p,0)ej ϕ p,0) (this is adopted as in [15] in order to assist the forthcoming analysis and especially the minimization problem (54)).

Only seven biofilms were grown in seawater; therefore, they were excluded from the forthcoming analysis.

For the forthcoming analysis, we introduce the following assumptions.

For the forthcoming analysis, we need the following lemmas.

where is restricted to to simplify the forthcoming analysis.