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The phrase "theory was established" is correct and usable in written English.
You can use it to describe the origins of a particular hypothesis or line of thinking. For example, "Einstein's Theory of Relativity was established in 1905."
Exact(14)
A stress relaxation model based on thermodynamic theory was established, which agrees very well with the experimental results.
In the former, an analytical model, residing on the Hertzian contact theory, was established to link the WED to the residual torque of a loose bolt.
To theoretically verify the composite action and efficiency of the integrated piezoelectric layers, an electro-mechanical model based on the first-order shear deformation theory was established.
In addition, a theoretical model based on effective medium theory was established to predict the thermal conductivity in graphene polymer nanocomposites.
An energy model based on the fatigue-damage-accumulation theory was established to predict the fatigue prediction of AZ31B-magnesium-alloy specimens.
The existence of large matter-antimatter asymmetry (CP violation) in the b-quark system as predicted in the Kobayashi-Maskawa theory was established by the B-Factory experiments, Belle and BaBar.
Similar(46)
At that time, density functional theory was establishing itself as a very powerful technique to model the electronic structure of materials.
No new theory is established.
A variational theory is established for the nonlinear Schrödinger equation using He's semi-inverse method.
An optimization function which based on the axiomatic design theory is established.
A sharp regularity theory is established for homogeneous Gaussian fields on the unit circle.
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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