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Exact(60)
This proved the validity of the theoretical model.
The validity of the theoretical derivations is demonstrated via simulations.
Numerical results verify the validity of the theoretical analysis.
Experimental data substantiates the validity of the theoretical anal.
Experimental data confirmed the validity of the theoretical results.
The validity of the theoretical calculations of (12), (13), and (29) is also investigated.
In Section 4, a numerical example is given to show the validity of the theoretical results.
In Section 4, the validity of the theoretical analysis is discussed through a numerical example.
In Section 4, some numerical examples are given to illustrate the validity of the theoretical results.
Furthermore, a numerical example is exhibited to illustrate the validity of the theoretical results.
Several numerical examples will be presented to show the validity of the theoretical results.
More suggestions(13)
applicability of the theoretical
effectiveness of the theoretical
accuracy of the theoretical
order of the theoretical
appropriateness of the theoretical
soundness of the theoretical
validity of the hypothetical
validity of the computational
validity of the analytical
validity of the theories
merits of the theoretical
validity of the imputed
validity of the theory
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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