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"basic example of" is correct and usable in written English.
You can use it when you are introducing a simple example to help explain a concept or a term. For example: "A basic example of how this works is..."
Exact(37)
Johnson told Sky News: "This is a basic example of how they [the Tories] talk tough on crime but act soft".
So with a basic Facebook request, we've now got: The time of day the request was made Who made the request (your IP address) How big the request was Any other resources that were related to that request (such as files that tell your browser how to display the page you're looking at) This is a basic example of the kinds of metadata that can be generated.
The basic example, of course, is the power set ℘(X) of a set X.
(This is a basic example, of course – most photo-editing apps have sharing built-in).
Another basic example of a minimal surface in (S^3) is the so-called Clifford torus.
A basic example of such an equation is the -Laplace equation (3.8).
Similar(23)
The space shuttle Columbia had many things in its hold when it soared into the Florida sky last month, including basic examples of schoolyard curiosity.
Basic examples of Acoular use and extension are given.
The following are some basic examples of multiply metric functions.
In Section 3 we will discuss some initial, rather basic examples of probabilistic operators.
The paper also presents basic examples of the design process of typical energy absorbing components.
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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