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"we approximate" is correct and usable in written English.
You can use it to indicate that you are making an estimate or general judgement based on incomplete data. For example, "We approximate that the cost of the project will be around $25,000."
Exact(59)
Thus we approximate the evolution operators numerically.
We approximate the 2011 value with the data for 2010.
We approximate the simulation data using the formula (38).
6 6 We approximate κ = I because I ≫1.
In our model, we approximate them as a PPP.
Therefore, we approximate the RHS of (20) by (23).
We approximate by an expansion of Bernstein polynomials (4.19).
From this guess we approximate the resource consumption of (B3).
In LP, we approximate speech as an auto-regressive process.
We approximate them by means of the RR method.
Then we approximate the known and unknown functions with the help of shifted Jacobi functions.
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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