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The phrase "a subset of all" is correct and usable in written English.
It can be used when referring to a specific group that is part of a larger category or collection.
Example: "The data we collected represents a subset of all available information on the topic."
Alternatives: "a portion of all" or "a segment of all".
Exact(60)
As transcriptional regulation is highly context specific12, clustering potentially misses local co-expression effects which are present in only a subset of all biological samples.
These are only a subset of all weddings held at the club — couples often use the city park for larger weddings.
The figure below shows Congress's limited attention to privacy issues as a subset of all hearings on different cybersecurity-related topics since the 1960s.
However, since these tests only cover a subset of all possible scenarios, passing these tests do not mean that your code is bug free.
This is a subset of all saddle points.
Let S be a subset of all nonlinear expectations.
Patients for concierge medical practices are a subset of all patients.
That in turn could be seen as a subset of all sports-minded people.
To achieve this goal we propose a scheme which schedules a subset of all users simultaneously.
We do not consider private information that is only intended for a subset of all terminals.
Let S be a subset of all convex expectations containing all linear expectations.
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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