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The phrase "absolute minimum set of" is correct and usable in written English.
It can be used when referring to the smallest or least amount of something that is necessary or required in a particular context.
Example: "To complete the project, we need to establish the absolute minimum set of resources required for success."
Alternatives: "essential minimum group of" or "fundamental minimum collection of".
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This meant identifying the absolute minimum set of features required for relaunch.
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We also recommend the appointment of a cabinet-level minister for children, remaining in post for a full parliament, whose department audits all government policies for their impact on children's health and wellbeing; or as an absolute minimum, the setting up of a non-party-political standing conference on children's health and wellbeing, meeting and reporting regularly to parliament.
We require an absolute minimum of 12 months of runway, but have a strong preference for 18 months or more.
A new absolute minimum of −19.5 °C (−3.1 °F) was recently set during the record cold month December 2010.
Like CNET's AllYouCanUpload, it is a dead simple tool that requires an absolute minimum amount of hassle – upload a photo, add metadata, set privacy, and get the URL or embed link for use on any site.
It's an ideal, rather than a set of rules: to make wine with an absolute minimum of intervention and manipulation in the vineyard or in the cellar.
The UNCRC wants countries to set the age of criminal responsibility at an "absolute minimum" of 12, and aim to keep increasing it.
Fast food restaurants are getting by with the absolute minimum amount of labor they need to supply their products.
Most importantly, the cover has an absolute minimum amount of text, allowing Schorr's grand image the maximum effect.
The local absolute maximum temperature of 36.4 C was recorded in August 2003 and the local absolute minimum temperature of -14.5 C was recorded in January 1982.
Main outcome measures included the TTB absolute minimum (s), mean of TTB minima (s), and standard deviation of TTB minima (s) in the anteroposterior and mediolateral directions.
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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