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The phrase "analysis of the former" is correct and usable in written English.
It can be used when referring back to a previously mentioned subject or item that is being analyzed or discussed.
Example: "In the report, we will conduct an analysis of the former to better understand its implications on our findings."
Alternatives: "examination of the previous" or "evaluation of the earlier".
Exact(13)
As for the analysis of the former tests, we develop a nonlinear viscoelastic brittle model.
He said that economic analysis of the former Italian Prime Minister Silvio Berlusconi's self-enrichment proves the concept.
As to ac impedance measurements of the electrocrystallization process, the EHD measurements presented can support the analysis of the former in the corresponding frequency domain.
Provided You Don't Kiss Me, written by the former Nottingham Evening Post writer Duncan Hamilton, is an analysis of the former Derby County, Leeds and Forest manager, based on the story of his 20-year relationship with Clough.
The announced topic of Page's discussion was "the evolution of the world economy", but much of it involved semi-coherent analysis of the former Soviet republics of Central Asia.
Transmission electron microscopy (TEM) analysis of the former show the films to be mesoporous with a hexagonal nanostructure identical to that produced by template depositions onto non-oscillating substrates.
Similar(47)
Analysis for the former comprises of two steps.
This results in coincidence of the statical analysis procedure of the former with the kinematical analysis procedure of the latter.
But less of that, please, and more analysis of why the former chose to take a retro route last Monday when the anticipation that sprang up around his appointment in the first place was reliant on his bringing the hard-edged, architectural modernism that we all know he is capable of bringing to this most revered name.
Rumsfeld, in particular, has a history of skepticism about the intelligence community's analysis, including assessments of the former Soviet Union's military ability and of threats posed by ballistic missiles from North Korea and other countries.
In the case of Composite 1, the weight loss peaks as a result of Enoxil degradation are more pronounced than in the case of Composite 2, and one may state that DTG and differential thermogravimetric analysis (DTA) curves of the former are somewhat a sum of those for pure Enoxil and pristine silica.
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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