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The phrase 'approximation in' is correct and can be used in written English
You can use it to describe a process of approximating a certain result or quantity based on available information. For example, you could say: "Using sample data, we made an approximation in the size of the population."
Exact(57)
The title, Approximation In The Digital Age To A Humanity Condemned To Disappear, indicates anthropological and cultural concern.
where the approximation in (34) holds for.
Example 5.1 Approximation in a rectangular domain.
We use the approximation in (12).
The approximation in the second plot is smoother than the approximation in the third plot.
With this approximation in mind, the boundary conditions become: (9).
Again, the reason for this is the approximation in ( 13).
We examine this approximation in more detail in the Appendix.
Chapman (1980) converted this approximation in rectangular coordinate system.
Example 5.4 Approximation in an L-shaped domain.
It is due to the approximation in (53).
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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