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The phrase "a minimal subset" is correct and usable in written English
It can be used in contexts where you want to refer to the smallest possible group or portion of a larger set that still retains certain properties or characteristics. Example: "In order to simplify the analysis, we will focus on a minimal subset of the data that represents the key trends."
Exact(27)
In previous work, a minimal subset of the lattice-commensurate triangles was proposed as the primary data set.
In this paper, a systems-theoretic modeling is realized by analyzing a minimal subset of biological circuit elements necessary to be included in an MC nanonetwork design where the message-bearing molecules are propagated via free diffusion between two cells.
Testor theory is a convenient way to solve this problem since a testor is defined as a subset of attributes that can discern between objects from different classes; and an irreducible testor is a minimal subset with this property.
In this paper, we address the robust minimal controllability problem, where the goal is, given a linear time-invariant system, to determine a minimal subset of state variables to be actuated to ensure controllability under additional constraints.
Translation of the hepatitis C virus (HCV) genomic RNA initiates from an internal ribosome entry site (IRES) in its 5′ untranslated region and requires a minimal subset of translation initiation factors to occur, namely eukaryotic initiation factor (eIF) 2 and eIF3.
They proposed an approximation algorithm for choosing a minimal subset of candidate locations where SGs may be deployed.
Similar(33)
Consider any minimal subset F ′ of that is also complete.
A similar approach with the purpose of aggregating an ideally minimal subset of inputs with strong discriminative capability was described by Filippone et al. [ 28, 29].
The reduct, originating from the Classic Rough Set Approach (CRSA), is an inclusion minimal subset of attributes that provides discernibility between objects from different classes in at least the same degree as the set of all attributes.
The Breduct of A, denoted by RED (B), is the minimal subset of A, which provides the same quality of approximation of objects into elementary classes of B as the whole attributes of A. The B-core of A, CORE (B), is the necessary part of A, which cannot be eliminated without disturbing the ability to classify objects into the elementary classes of B (Pawlak 1982).
A common assumption for logic-based argumentation is that an argument is a pair ⟨Φ,α⟩ where Φ is minimal subset of the knowledge-base such that Φ is consistent and Φ entails the claim α.
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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