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The phrase "a particular system of" is correct and usable in written English.
You can use it when referring to a specific method, structure, or organization within a broader context.
Example: "In our research, we analyzed a particular system of governance that has proven effective in promoting sustainability."
Alternatives: "a specific framework of" or "a distinct method of".
Exact(17)
The Poincaré mappings derived for a particular system of this type are presented.
This description, however, fitted only a particular system of government, such as the one that prevailed in Great Britain during the 19th century.
That examination needs to focus on a particular system of the sort that is most dangerous to any republic – a system that grows ever more consequential while remaining largely invisible even to those who are charged with overseeing it.
They need to learn about moral systems — they shouldn't be taught a particular system of morality, but they need to learn what moral systems are so that they understand what makes a good society.
end{aligned} (1.18) Their method was based on the study of blow-up of a particular system of ordinary differential equations; these ordinary differential equations were complicated but were useful to get the blow-up condition.
These new forms of scholarly monastic communities had distinct theoretical and practical interests and, in their efforts to organize, interpret, and reexamine the Buddha's scattered teachings, they developed a particular system of thought and method of exposition called Abhidharma (Pali, Abhidhamma).
Similar(43)
So far, we analyzed the implications of different topologies while assuming the topology of a particular system to be fixed.
This does not mean it has a right to impose any particular system of government or representation on the state of Palestine as it moves towards UN membership.
By promoting or inhibiting the affinity and/or association of these axes according to the mechanism involved in a particular system, inhibition of pathological angiogenesis and vascular high permeability can be appreciated as therapeutic target.
In the case of robustness testing, the goal is to understand the behavior of a particular system in presence of invalid input or stressful conditions [11].
In this evaluation, we compare the peaks identified by a particular system (or combination of two systems) against the set of RefSeq TSS in the human genome.
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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