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The phrase "rigorous theoretical" is correct and usable in written English.
You could use it to describe a demanding academic approach to a subject based on rigorous theoretical principles. For example, "The professor's approach to the subject was grounded in rigorous theoretical frameworks."
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The Nobel committee should be applauded for recognising such rigorous theoretical and empirical work.
However, rigorous theoretical analysis and comparison are rare.
A novel proposal regarding predicate-argument agreement that combines detailed empirical investigation with rigorous theoretical discussion.
I combine methodical empiricism with rigorous theoretical analysis to drive secure system design.
The resulting approach is named τ-SEDS and analyzed with rigorous theoretical investigations and robot experiments.
This allows a rigorous theoretical analysis of capture/emission process by the interface states.
Rigorous theoretical derivation is performed to modulate the phase and amplitude of the reflectance signal.
A rigorous theoretical result guarantees its convergence and provides tight preliminary scaling.
A rigorous theoretical treatment of the transport equations is presented for multi-phase systems.
An inquiry into social issues such as employment, growth, inflation, globalization, health and poverty using rigorous theoretical and statistical analysis.
I wish that were true, though I'm not sure Allin's posthumous body of work has the rigorous theoretical scaffolding required to sustain a consistent ideological or aesthetic position.
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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