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The part of a sentence "calculated using equation" is correct and usable in written English.
You can use it when you need to describe a process of computing a result using a mathematical equation. For example: "The maximum speed of the car was calculated using equation (1)."
Exact(58)
The resilient modulus introduced in the design's internal calculations is calculated using Equation 4.
The HP is calculated using Equation 1.
cRg was calculated using Equation 2.
The values of Cdl have been calculated using Equation 4.
d〈h2〉1/2 was calculated using Equation 3.
Molecular sphericity could be calculated using equation 3.
The release ratio was calculated using Equation 3[31].
The inhibition efficiencies were calculated using Equation 2 [18].
The recovery factor percentages (RFPs) were calculated using Equation 1.
Vapour permeability, expressed as permeance, was calculated using equation 1.
The principal components are calculated using Equation 7: left[ Pright]=left[ gright]times left[ Vright] (7).
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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