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The phrase "analysis of the distinction" is correct and usable in written English.
It can be used when discussing the examination or evaluation of differences between two or more concepts, ideas, or entities.
Example: "The analysis of the distinction between qualitative and quantitative research methods reveals important insights into their respective strengths and weaknesses."
Alternatives: "examination of the difference" or "evaluation of the separation".
Exact(3)
Amid an analysis of the distinction between matter and form, she disassembles instruments mid-performance, detaching the body of the flute from the head piece and removing the rim of a drum; the ensemble goes on making music from the remnants.
See van Benthem (2000) for a study of conditions under which constraint satisfiability is preserved under infomorphisms, and Allo (2009) for an application of this framework to an analysis of the distinction between cognitive states and cognitive commodities.
3. Die Soziologie Vol. 1: Die Übermacht der Räume provides a lengthy analysis of the distinction between seriousness and play; it concedes that what is created as play may enter again into the stream of life in seriousness, which of course happened with the death of Socrates.
Similar(56)
Here we develop a new method, based upon palynofacies analysis, for the distinction of the different depositional environments that are commonly associated with basin floor fans.
Despite its fundamental importance, the only Neo-Mohist attempt to establish a formal linguistic basis for this notion can be found in their analysis of the classical distinction between identity and difference (tong yi, Mozi CTP: Da qu, 22).
A particularly rich application of the possible world analysis of intensions concerns the analysis of the venerable distinction between de re and de dicto modality.[11] Among the strongest modal intuitions is that the possession of a property has a modal character — that things exemplify, or fail to exemplify, some properties necessarily, or essentially, and others only accidentally.
The regress problem challenges our knowledge at an even more fundamental level, questioning our ability to know anything by observation in the first place (see Weintraub 1995 for a critical analysis of this distinction).
This analysis of the two distinctions suggests the following: Those features falling under (1) are formal features.
It is exciting to treat artifacts as part of the phenotype, but questions about the appropriate units of analysis or the distinction between homologies and analogies continue to plague applications.
Attempts at a philosophical analysis of the qualitative/non-qualitative distinction often take the connection between non-qualitative properties and specific individuals as a starting point.
This analysis confirms the distinction of the minimotif clusters derived by the sequence based-analysis.
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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