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The phrase "approximated by a" is correct and usable in written English.
It can be used in contexts where you are discussing estimates or near values in mathematics, science, or statistics.
Example: "The value of pi is often approximated by a fraction, such as 22/7."
Alternatives: "estimated as a" or "represented by a".
Exact(60)
The nonsmooth function is approximated by a smooth operator.
F can thus be approximated by a log-normal RV.
The discrete network is then approximated by a continuum.
Second, the discrete network is approximated by a continuum.
Both cases can be approximated by a gamma function.
The crack front was approximated by a spline curve.
The flow is approximated by a turbulent Couette flow.
It can be seen that the macro cells can be well approximated by a hexagon whereas the small cell can be well approximated by a circle.
In the first stage, the objective function is successively approximated by a concave function.
The nonlinear vehicle model is approximated by a Takagi-Sugeno fuzzy model with structured parametric uncertainties.
The optimization problem in the measure space is then approximated by a linear programming problem.
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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