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The phrase "a numerical example is" is correct and usable in written English.
It can be used when introducing a specific instance or illustration that involves numbers to clarify a concept or argument.
Example: "To better understand the theory, a numerical example is provided below to illustrate the calculations involved."
Alternatives: "an example with numbers is" or "a numerical illustration is".
Exact(60)
A numerical example is provided using.
A numerical example is presented.
A numerical example is applied.
A numerical example is provided.
A numerical example is included.
A numerical example is given.
A numerical example is discussed.
A numerical example is shown.
A numerical example is reported next.
A numerical example is also provided.
Finally, a numerical example is presented.
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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