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'obtained using the formula' is correct and usable in written English
You can use it when referring to calculations or results that were calculated by means of a particular formula. For example, "The results of the experiment were obtained using the formula derived by Smith and Jones."
Exact(32)
Thus the approximate solution of Equations (12a) and (12b) can be obtained using the formula: x i + 1 = V ξ i + 1.
Limit of detection (LOD) and LOQ for aflatoxin was obtained using the formula; LOD = standard concentration at which no peak was observed (3*baseline noise/peak height) and LOQ = 2*LOD.
The R p was calculated from the weight of polymer obtained using the formula: R p = 1000 W/V × t × M; where W is the weight of the polymer in gram; V is the volume of the reaction mixture in mL; t is the reaction time in seconds; M is the molecular weight of the monomer in g/mol.
The R p was calculated from the weight of polymer obtained using the formula: R_{text{p}} = 1000 W/V times t times M, where W is the weight of the polymer in gram; V is the volume of the reaction mixture in mL; t is the reaction time in seconds; M is the molecular weight of the monomer in g/mol.
The Rp was calculated from the weight of polymer obtained using the formula: Rp = 1000 W/V × t × M, where W is the weight of the polymer in gram, V is the volume of the reaction mixture in ml; t is the reaction time in seconds; and M is the molecular weight of the monomer in g/mol.
A minimum sample size (n) = 238 (rounded to 250) was obtained using the formula ( n=frac{Z^2times Ptimes q}{d^2} ) where the population proportion2, P, used for the study is assumed to be 0.1, 0.1 , q = 1 − p , z = 1.645, (at 90% confidence interval) and margin error (d) of 0.032 (Cochran 1977; Farris 2011).
Similar(28)
Hence, the stress distribution of any angle can be obtained using the formulas above.
Because the case in which populations 1 and 2 have constant size is the α = 0 case of the growth scenario, results for the constant model can also be obtained using the formulas in Table 2. To validate our theoretical results, we carried out coalescent simulations.
The expectations are obtained using the formulas: cf I, u = ∑ j ∑ e, d ∑ < e, d > → i ; i ∈ I, u c i · p e, d, j, i cg I, T = ∑ j ∑ e, d ∑ < e, d > → i ; i ∈ I, T c i · p e, d, j, i Under k =1 all expectations equal the number of events or the cost values.
A new variable X* is obtained using the following formula: X* = (X-μ)/ σ.
The grain size value is obtained using the Scherrer formula [15] based on the XRD data (Figure 1).
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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