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The phrase "a given set of rules" is correct and usable in written English.
It can be used when referring to a specific collection of rules that are established or accepted in a particular context.
Example: "In this game, players must adhere to a given set of rules to ensure fair play."
Alternatives: "a specific set of rules" or "an established set of rules".
Exact(6)
First, they must specify who is responsible for a given set of rules and has the authority to change them.
For example, there are undecidable propositions whose truth cannot be determined within a given set of rules, such as the logical structure of a computer.
A method to simulate physical phenomena in space and time by using an array of units (cells) that have certain properties that change according to a given set of rules.
In a recently published plan for investment firms, the SIB made plain it wanted specific senior managers held responsible for ensuring that a given set of rules was being obeyed.
The other breakthrough was the Lambda service announced last year at AWS re:invent, which based on the event trigger in CWE can launch a set of resources for a given set of rules for a set period of time whenever it matches a rule.
Several methods and many pipelines are proposed to analyse sequences from small RNA deep-sequencing data sets to see if they meet a given set of rules [ 31, 32].
Similar(54)
The latter approach is only analytically tractable to a certain degree; also, it usually relies on a particular, given, set of rules that govern the infection spread.
Using a given set of basic rules and an appropriate definition of fitness, we can generate complex structures.
This score constitute an indicator of how reliable the predictions (reprogramming determinants) performed on the contextualized network for a given set of regulatory rules are.
The underlying principle in CHESS is to minimize the amount of context-specific rules and regulations, while maximizing the coverage of information represented with the given set of rules.
By a proof system \(\mathcal{P}\) for propositional logic we understand a definition of the symbol \(\vdash_{\mathcal{P}}\) which characterizes what it means for a formula \ \phi\) to be derivable from a given set of axioms and rules.
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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