Sentence examples for aforementioned representation from inspiring English sources

In the next lemma we use the same procedure as in [21], p.44, as well as some ideas from [22], p.349 in order to make the aforementioned representation of the function ρ.

Thus, we can say that the aforementioned representations complement each other.

In addition, in Section 6 we illustrate the use of our approach by presenting an exploratory data analysis that leverages the information contained by the aforementioned representations, based on the data collected by the visual tool.

A SSP algorithm based on A∗-search is proposed which uses the advantages of the aforementioned environment representation.

As a result, the aforementioned internal representation which individuals generate when they communicate with God, as a real meaningful person, can also generate an empathic understanding of God as perceived by the individual.

We finally propose a method to extract frequent audio objects (patterns) in the aforementioned sparse representations.

Then, by integration of the generalized Paris' law, the relationship between the aforementioned generalized representations of fatigue is established, providing the link between the cumulative fatigue damage and the fatigue crack propagation approaches.

As aforementioned, MATLAB representations in parallel with SBML ODE solvers have been tested in earlier versions.

In contrast to the three aforementioned types, discursive representation, does not aim for representation of individuals or groups but rather of the usually smaller number of diverse views and experiences [ 39] or of relevant discourses on the issue at hand [ 17, 40].

The prediction performance of SVM predictor with the aforementioned two protein sequence representation across five runs is shown in Table 3.

Consequently, some basic characteristics of 3-D wave motion in layered media (e.g., various surface waves) can then be identified in a unified form for the aforementioned different co-ordinate representations.