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The phrase "approximation we determined that" is not correct as it lacks proper grammatical structure.
It can be used in contexts where you are discussing findings or conclusions based on an approximation, but it needs to be restructured for clarity.
Example: "After careful analysis, the approximation we determined that the results were consistent with our hypothesis."
Alternatives: "the estimate we concluded that" or "the approximation we found that".
Exact(1)
Using a steady state approximation, we determined that Vmax and Km were 37.47 ± 0.0013 μM min 1 U–1 and 27.82 ± 2.83 mM, respectively.
Similar(59)
Using the chi-square approximation of mutual information, we determined that the minimum chi-square approximation across all reported mutual information scores was 3270 for 1 kb windows (from the 91 kb bucket) and 152 for 100 kb windows (from the 74 kb bucket).
From our results, we determined that the precision of the saddlepoint approximation was superior to both the normal and moment-based approximations.
We determined that 50 100 representatives or more are sufficient for Gaussian approximation in the corresponding z-criteria.
"We can't determine that.
We also determined that there is little relationship between editing frequency and synonymous rates, which is an approximation of the neutral mutation rate.
(In the last approximation, we used that η is fixed).
We can assume that the method of parameter estimation determined that these values are a good approximation, and does not modify their values in the process of parameter setting.
With the approximation of a single point source, we determined the fault mechanism so that predicted waveforms best fit the observed ones (Fig. 7(c)).
Using in vitro approximations, it was also determined that cortisol-mediated genomic actions are a powerful inductor of skeletal muscle atrophy in fish.
For each observer, we determined a coherence level threshold that corresponded to 75% accuracy using the accelerated stochastic approximation method (Kesten, 1958; Treutwein, 1995).
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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