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The phrase "a simple example of this" is correct and usable in written English.
You can use it when introducing an illustration or clarification of a previously mentioned concept or idea.
Example: "To clarify the concept of gravity, here is a simple example of this: a dropped ball falls to the ground due to gravitational pull."
Alternatives: "a straightforward illustration of this" or "a basic instance of this".
Exact(37)
Here's a simple example of this.
The repetitive use of acronyms is a simple example of this.
A simple example of this is texture mapping, the process of "pasting" a photograph onto virtual 3D geometry during rendering.
A simple example of this idea arises in the range sequence type introduced in Chapter 2. A range represents a consecutive, bounded sequence of integers.
It is shown that SOA principles can be used to design applets that make use of finite element analysis and a simple example of this is described.
A simple example of this approach is given in which a plant growth module is linked with a soil water balance module to create a crop model that simulates growth and yield for a uniform area.
Similar(23)
As a simple example of the gain represented by this algorithm with respect to the enumeration of all solutions, the 28 solutions that sort (−3, 2, 1, −4) into I4, can be grouped in only two traces, one is represented by {1}{1, 2, 3}{2}{4} and has 24 solutions, while the other is {1, 2, 4}{3}{1, 3, 4}{2, 3, 4} and has 4 solutions.
This chapter lays the groundwork for the Rosetta concept of a specification notation, illustrating this with a simple example of the basic modeling concepts, facets, and domains.
This is a simple example of the so-called Archimedes' principle, which states that the upthrust experienced by a submerged or floating body is always equal to the weight of the liquid that the body displaces.
A simple example of how this can work in practice is the following one.
The irregular domain is represented implicitly using a level-set function so that this approach is applicable to free moving boundary problems; we provide a simple example of shape optimization to illustrate this capability.
More suggestions(16)
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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