The phrase "a rigorous demonstration of" is correct and usable in written English.
It can be used when discussing a thorough and detailed proof or presentation of a concept, theory, or argument.
Example: "The study provides a rigorous demonstration of the effectiveness of the new treatment in clinical trials."
Alternatives: "a thorough proof of" or "a detailed presentation of".
A rigorous demonstration of the principles on which the ARROW protocol has been developed can be found in ([15]: Theorem 4, [20]: Lemma 3.13).
This principle affords us a rigorous demonstration of what, in any event, was already plausible and intuitively 'natural': that after having performed the infinite sequence of actions (a1, a2, a3, …, an, … ) Achilles will have reached point B (x = 1).
However, a rigorous demonstration of how combinatorial signaling alone works to achieve specificity in the context of peptide hormones remains to be demonstrated.
A rigorous demonstration, for Leibniz, consists in a "chain of definitions" (catena definitionum) where one moves from premises to a conclusion via the substitution of definitionally equivalent terms (A II.i.398; L:198).
A more rigorous demonstration of this requirement is still an open matter, and indeed rigorous proofs that particular solution types can only occur when three (or more) timescales are present have not, to our knowledge, been provided in the literature to date.
However, a rigorous demonstration that the dynamics of the two regions are coupled requires a robust determination of kex values as a function of [ACD] for loop residues as well as interface residues and the data collected did not allow for this determination with sufficiently high confidence.
Yet, we lack a rigorous demonstration whether these trait changes are genetically based, adaptive, and causally driven by global warming.
Botulinum toxin A (BTX-A) is used to treat glabellar lines but the rigorous demonstration of its efficacy in a well-designed study had never been reported.
To our knowledge, this is the first rigorous demonstration of super-polynomial noise-tolerant storage in recurrent networks of simple linear threshold elements.
This rigorous demonstration of uncertainty in discharge and water quality data illustrates the importance of uncertainty analysis and the need for appropriate tools.
However, whilst the BBBS-M program performs well in this regard and is highly regarded by stakeholders, its sustained funding requires more rigorous demonstration of its effectiveness and cost-effectiveness.
