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The phrase "a rigorous definition of" is correct and usable in written English.
You can use it when discussing the need for a precise and thorough explanation of a term or concept.
Example: "In scientific research, it is essential to establish a rigorous definition of key terms to ensure clarity and consistency in communication."
Alternatives: "a precise definition of" or "a strict definition of".
Exact(28)
A rigorous definition of the delta function became possible in distribution theory, which was developed by Schwartz from the mid-1940s thethearly 1950s0s.
A rigorous definition of ignition and extinction of steady state combustion based on eigen-analysis of the Jacobian matrix is proposed for practical fuels in the present study.
A rigorous definition of Wilson loops is given and the N-loop Schwinger functions, which are shown to satisfy Seiler′s axioms, are explicitly calculated.
The technique allows for a rigorous definition of the boundary conditions of the flame with probe intrusion and enables less ambiguous comparison between experiment and model.
In this paper, a fundamental result of the CS theory is exploited to provide theoretical justification and a rigorous definition of the CS super-resolution capability.
Starting with a rigorous Definition of symmetry, we have presented a formal and systematic approach to symmetry and dimensional reduction of BVPs expressed with the exterior derivative.
Similar(32)
It is hard to place a rigorous definition on the poles of the continuum, but GSS administrators, using several criteria, provide a useful sorting of denominations into a three-category variable here called religiosity.
To a great extent, the problem lies in the lack of a rigorous definition for TDD.
First, we lack any rigorous definition of "complexity," rendering comparisons by that measure meaningless.
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.
In light of this fact, we utilized a less rigorous definition of AH that allowed us to identify a wider spectrum of suspected AH cases.
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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