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Numerical examples are reported to illustrate the results.
Several examples are reported to illustrate the presented algorithms.
Finally, numerical examples are reported to illustrate the effectiveness of the proposed method.
Numerical examples are reported to discuss computational efforts and solution characteristics.
A couple of examples are reported to illustrate the main theoretical results of the paper.
Numerical application examples are reported to show the effectiveness of the proposed algorithms.
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Comparison to some existing tools on some examples is reported to illustrate the effectiveness of our new algorithms.
Proceeds from the sale of stock, for example, are reported to the I.R.S., but Congress trusts each taxpayer to accurately report what he paid for the stock.
Wheat farmers who have been earning dollars, for example, are reported to be holding back their crop for fear that the government is going to change the rules on compensation for exporters.
Additionally, herbivory-induced terpene synthases from lima bean (Phaseolus lunatus) and maize, for example, are reported to produce sesquiterpenes which have been shown to attract natural enemies of insect herbivores [ 18, 19].
Elderly guardians for example are reported to struggle with financial difficulties (Nyambedha et al., 2003) and suffer from psychosocial distress (Boon, James et al., 2010; Boon, Ruiter et al., 2010; Oburu & Palmerus, 2003, 2005; Ssengonzi, 2007).
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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