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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.
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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.
As aforementioned, MATLAB representations in parallel with SBML ODE solvers have been tested in earlier versions.
The final image representation obtained by combining aforementioned two image representations (mathbf {mathcal {V}}_{hat {d}}) and is fed into a linear SVM classifier to classify the staining patterns of HEp-2 cells.
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.
This includes breaking news, facts, opinions, observations, gossip, creative expressions, commentary, parodies, homework, conjecture, or fictional representations of the aforementioned.
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.
The aforementioned considerations also contributed to the adapted schematic representation of the primary micellar structures of heterogeneous R EO nPD (Figures 13).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com