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The phrase "approximation even though" is correct and usable in written English.
It can be used when discussing a situation where an approximation is made despite certain conditions or facts that may suggest otherwise.
Example: "The calculation was an approximation even though we had precise measurements available."
Alternatives: "estimate despite" or "rough calculation although".
Exact(2)
Interestingly, such large estimates of N were not observed under the Gaussian diffusion approximation, even though s ^ was also downwardly biased under this model.
For finite compartment volumes, the MM equation is not exact (except in the two limiting cases of α M → 0 and α M → 1) but is at best an approximation, even though steady-state conditions are imposed; this is at odds with the prediction of the conventional deterministic theory.
Similar(56)
Most of the methods presented result in relatively coarse approximations, even though their precision is within the tolerance of the target applications.
Even though, as Park and cols.
"Even though, in many ways, it is".
In constructing a stochastic version of the network, we will assume that the above mean-field approximation still holds even though the activity variables are now random.
If the experiment conditions and mRNA amount for the reference and target samples are similar, we argue in [23] that a simple linear function is a good approximation in normalization even though the relationship between dye concentration and fluorescent intensity is nonlinear.
The existence of nontrivial 2π time periodic solutions of nonlinear wave equations on Sn is proved in the case when the nonlinear term g u) ~ ¦u¦ p − 2u, p is less than the critical exponent 2(n + 1)(n − 1), by suitable approximation and variational methods, even though the associated functional does not satisfy the Palais-Smale condition for n odd.
It is also shown that, in the special case, the tracking error exponentially converges to zero even though the approximation errors exist.
The thickness of the slip layer, deduced from the velocity distribution, varies slightly depending on the mix-proportion of concrete even though its approximation could be still said to 2 mm.
In some cases, such as log-normal fading channels, the unit step approximation also provides a close candidate for evaluation on its own, even though the asymptotic approximation does not exist in this case.
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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