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"a more rigorous definition" is correct and usable in written English.
It can be used when discussing a term or concept that needs to be defined in a more precise and detailed manner. Example: "In order to fully understand the concept of 'sustainability,' we need to provide a more rigorous definition that takes into account economic, social, and environmental factors."
Exact(14)
A suspicious individual's presence in a "high-crime area" is among the criteria American police may use to determine whether a search is acceptable: a more rigorous definition of those locations will stop that justification being abused.
For a more rigorous definition of stability, we can refer to [22, 23].
Priestley [4, 6] gave a more rigorous definition of local stationarity using the oscillatory process and established an evolutionary spectrum theory.
An integrated hydrodynamic mathematical model is established from experimental results and a more rigorous definition is proposed for the uniformity of the axial gas distribution in a radial flow moving-bed reactor (RFMBR).
Applying the age- and sex-specific prevalence rates in the HMO to the US population in 1990, we estimate there were approximately 9.1 million Americans with at least one elevated sex-specific creatinine (Cr) value and approximately 4.2 million Americans with at least two elevated Cr values separated by 90 days or greater, a more rigorous definition of CKD.
This is a more rigorous definition of resistance as compared with conventional clinical criteria.
Similar(46)
This over-reporting from our pilot study urged us to develop the more rigorous definition of hypertension that was implemented in our study.
The difference (two-thirds versus one-third) in improving from widespread pain (WSP and CWP, respectively) could be related to our study's more rigorous definition of WSP.
Although their pooled risk estimates cannot be directly compared with our analysis of a subset of children born to HCV antibody positive and RNA-positive women, our results showed that the risk of HCV infection in children was lower when the more rigorous definition was applied, as would be expected when applying more stringent criteria.
In addition, we reiterate Gerzoff and Gebbie's call for developing more rigorous definitions to permit a more reliable and effective enumeration of the public health workforce.
A more rigorous mathematical definition goes as follows.
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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