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The phrase "a simulated example is given to" is correct and usable in written English.
It can be used when introducing a demonstration or illustration that is intended to clarify a concept or process.
Example: "In this section, a simulated example is given to help you understand the theoretical framework better."
Alternatives: "a simulated example is provided to" or "a simulated example is presented to".
Exact(1)
Furthermore, a simulated example is given to show that our theory and method perform well in practice.
Similar(59)
A simulated distillation example is given to illustrate the implementation of this technique.
Finally, in Section 4, an example is given to numerically simulate our conclusion.
Applying the Simulated Annealing Algorithm and Monte-Carlo Algorithm, numerical examples are given to show the potential of the proposed techniques.
Finally, numerical examples are given to compare with the exact solution for the order of convergence, and simulate the fractional dynamical systems.
Three simulation examples are given.
To simulate the operation of real world, a forecast example is given below, with the hypothesis that dispatched power is derived from hourly average of forecasting power.
A practical example is given.
A computational example is given.
A design example is given.
A numerical example is given.
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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