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The phrase "a simple examples to" is not correct in English.
It should be "a simple example to" or "simple examples to" depending on the intended meaning. You can use it when introducing a straightforward illustration or case to clarify a point or concept.
Example: "Here is a simple example to demonstrate how the process works."
Alternatives: "a straightforward example to" or "an easy example to".
Exact(1)
Second, although we present a simple examples to show the computational performance of the proposed algorithm, more numerical experiments are desired to compare the behavior of our algorithm with other existing IPMs.
Similar(59)
Finally, we give a simple example to illustrate our result.
We provide a simple example to illustrate the simulator.
Here we describe a simple example to explain this effect.
Finally, we give a simple example to illustrate our theory.
Here's a simple example to illustrate this.
Appendix A gives a simple example to illustrate a derivation required for the analysis (theta).
To see that, let us give a simple example to show what (Sigma_{1}) is.
To see that, let us give a simple example to show the difference.
In this section, we give a simple example to explain the main theorem.
For intuitive description, we show a simple example to compare the PAPR reduction performance between them.
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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