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The phrase 'give a simple example' is correct and usable in written English.
You can use it when you want to explain an idea or concept by providing a simple illustration. For example, you could say: "To illustrate, let me give a simple example. If I were to buy a car, I would need to make payments on it."
Exact(35)
We give a simple example firstly.
Finally, we give a simple example to illustrate our result.
Finally, we give a simple example to illustrate our theory.
Here, we give a simple example illustrating Theorem 3.1.
In this section, we give a simple example to explain the main theorem.
To see that, let us give a simple example to show what (Sigma_{1}) is.
Similar(25)
Figure 4 gives a simple example of this measure.
Appendix A gives a simple example to illustrate a derivation required for the analysis (theta).
Figure 4 gives a simple example web page and its DOM tree representation.
It explains what simulation is and gives a simple example that uses SIMULINK, a powerful toolbox that extends the capabilities of MATLAB.
Appendix A gives a simple example to illustrate the derivation of the assumed values of K1, K2 and all the (theta_{j}).
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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