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The phrase "equation is established" is correct and usable in written English.
You can use it to refer to a situation in which two or more sides arrive at a mutually-agreed-upon understanding or arrangement. For example, "After months of negotiation, an equitable equation was established between the employer and employees."
Exact(60)
Then, the measurement model equation is established as follows: (6).
The equivalence with the associated integral equation is established.
By this property, the transformation from the VCKdV equation to the KdV equation is established.
Residual state equation is established and is combined with the system output and system phasor.
The oscillation of all solutions of this equation is established via comparison theorems.
After y r is obtained, an equation is established based on the Winkler foundation model.
Based on the factors above, the modified porosity variation equation is established.
Thus a wave diffusion dualism of the processes described by the neutral-fractional equation is established.
As the forces acting on the airfoil surface should be in balance, a force balance equation is established at first.
Analysis of variance (ANOVA) is also carried out and a quadratic model with regression equation is established.
A reliability-based approach is used and a probabilistic model including design and limit state equation is established.
More suggestions(14)
equation is pursued
formula is established
correlation is established
expression is established
alignment is established
equation is tested
balance is established
calculation is established
problem is established
equivalence is established
equation is prescribed
equations is established
equation is set up
equilibrium is established
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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