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The phrase "a formal example" is correct and usable in written English.
You can use it when referring to an example that adheres to established standards or conventions, often in a professional or academic context.
Example: "In order to illustrate the concept clearly, I will provide a formal example of the procedure we discussed."
Alternatives: "an official example" or "a structured example".
Exact(4)
A formal example is given to illustrate the approach before the constituents of the ADL are sketched.
Sequential selection of stimuli simultaneously present in the visual scene is demonstrated by the model in the frequency domain in both a formal example and a real image.
The "Kangaroo courts" in prison are a formal example of what has been the active protocol of prisoners since the inception of convict culture.
A formal example, "Hello, my name is Elizabeth Jones from the Legal Services Department.
Similar(55)
For example, a formal model allows one to incorporate randomness in key parameters, such as arrivals of phone calls at a system.
For example, in a formal model Dornhaus et al. (2006) demonstrate how the search for good information as well as resources might alter CPF predictions.
A quite formal example of this, drawing on ideas by Dov Gabbay, is d'Avila Garcez (2004).
A less formal example, "Hello, this is Jeremy speaking, from the Brown residence".
In an appendix, we demonstrate our approach with a formal, implemented example of real-world mathematical collaboration.
Unfortunately, it was not possible to undertake a formal evaluation for example, via chart review or use of additional data sources (e.g., electronic medical records)—of the accuracy of these algorithms within the context of this study.
Certain artists inspire by formal example, other by giving permission.
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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