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The phrase "are rigorously defined" is correct and usable in written English.
It can be used when discussing concepts, terms, or criteria that have been clearly and precisely established, often in academic or technical contexts.
Example: "In this study, the parameters of the experiment are rigorously defined to ensure reproducibility and accuracy."
Alternatives: "are precisely outlined" or "are clearly specified".
Exact(2)
Service publication, service discovery, service selection and ranking, and service delivery are rigorously defined.
The speed and the width of the layer are rigorously defined via dimensionless quantities.
Similar(58)
This definition served mathematicians for two millennia and paved the way for the arithmetization of analysis in the 19th century, in which arbitrary numbers were rigorously defined in terms of the rational numbers.
Though bond directionality is frequently used as an explanation of metallic and alloy properties, it has never been rigorously defined.
With respect to the multi-user scenario, the scale effect of ET-FSD is rigorously defined, which in Section 4 is proven to exist.
The fractionation response (α/β ratio) of prostate cancers and, for that matter, late-responding normal tissues, has yet to be rigorously defined.
The proposed engineering system is based on a set of concepts which are worth being rigorously defined to ease the explanation.
Furthermore, thanks to this new mathematical approach the slope factor is rigorously defined in all regions of operation and no empirical assumption is required.
If equivalence is rigorously defined (the minimal clinically important difference), they could represent a route to licensing (cancer chemotherapy and antibiotics).
The comparison of results obtained in different solutions is questionable if the main physico-chemical properties of the solutions have not been rigorously defined.
It is shown that an evolutionary spectrum for M-non-stationary behavior can be rigorously defined, and the presence of invariant structure examined.
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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