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The example substantiates the tool's capacity to improve the consistency of narrative storylines and the diversity of quantitative models.
The following example substantiates the fact that the condition of a partial ordering on the underlying metric space is necessary in Theorem 1.
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Thus, as some previous studies have shown, we presented an interesting example substantiating the feasibility of genetic analysis with low coverage population genomic data [ 45, 46].
Three illustrative computer-simulation examples substantiate the theoretical results and efficacy of the ZNN model for online time-varying matrix inversion.
Computer-simulation examples substantiate the efficacy of such a ZNN model in the context of solution of time-varying generalized linear matrix equations.
We establish an example to substantiate the validity of our results.
We also furnish an example to substantiate the validity of our results.
Recalling this ignoble past, he used it as an example to substantiate the formation of a new Palestine.
In this section, we provide three numerical examples to substantiate the theoretical results.
Thus, in all, our Theorem 1 is applicable to the present example while Theorem 1 of Alam and Imdad is not, which substantiates the utility of Theorem 1.
Do you think he always substantiates the conclusions he draws?
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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