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The phrase "are defined only in" is correct and usable in written English.
It can be used when specifying the limitations or conditions under which something is defined or applicable.
Example: "The parameters of the experiment are defined only in the context of the controlled environment."
Alternatives: "are specified solely in" or "are established exclusively in".
Exact(1)
The paper uses a number of key terms that are not defined, or are defined only in passing or late in the paper.
Similar(59)
The two domains are not of equal magnitude in Arabic letters, he continues, so the branch is defined only in relation to the over-arching concept.
As Dr. Bailey wrote in the exhibition catalog, the figurines should perhaps be defined only in terms of their actual appearance: miniature, representational depictions of the human form.
But mostly her character is defined only in relation to that of Mr. Zero; there's none of the anchoring personal detail that would make her truly scary or pitiable.
This could be done without changing the constitution, since what constitutes "the oil industry" is defined only in ordinary legislation, as César Hernández of CIDAC, a Mexico City think-tank, points out.
It turns out, then, that existence is defined only in contexts in which it is predicated of complexes.
Hence, the SRe is browsed for available ConfiguredServices and a query is defined only in terms of existing ConfiguredServices.
The electrostatic Poisson equation was defined in the biomolecules and in the solvent, while the Nernst Planck equation was defined only in the solvent.
In (alpha=1 ), we have convex function, convexity is defined only in geometrical terms as being the property of a function whose graph bears tangents only under it [2].
In their study, the representation of the user state was defined "only in terms of dialogue act or expected user intent".
On the other hand, the β-divergence-based interpolation of the amplitude is defined only in the domain of 0≤α≤1 when β is set to β≠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