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The phrase "a numerical example is given for" is correct and usable in written English.
It can be used when introducing a specific instance or illustration that demonstrates a concept or principle, often in academic or technical writing.
Example: "In this section, a numerical example is given for the calculation of compound interest to clarify the formula's application."
Alternatives: "a numerical example is provided for" or "a numerical example is presented for".
Exact(14)
A numerical example is given for steel/epoxy phononic crystal.
Finally, a numerical example is given for illustration.
A numerical example is given for demonstrating the feasibility of the proposed control scheme.
A numerical example is given for the rocket propulsion system to illustrate the result.
A numerical example is given for illustrating and interpreting the theoretical results.
To demonstrate the approach, a numerical example is given for a prototypical recycling network.
Similar(46)
A numerical example is given to illustrate the effectiveness and potential for the developed techniques.
A numerical example is given.
Finally, a numerical example is given.
Finally, a numerical example is given in Section 5.
A numerical example is given to validate the model.
More suggestions(17)
a computational example is given for
a numerical simulation is given for
a numerical result is given for
a practical example is given for
a numerical example is provided for
a numerical example is represented for
a numerical example is shown for
a specific example is given for
a detailed example is given for
a first example is given for
a numerical example is used for
a numerical example is included for
a numerical example is solved for
a numerical example is illustrated for
a numerical example is introduced for
a numerical example is considered for
a numerical example is explained for
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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