The phrase "a given instance of" is correct and usable in written English.
It can be used when referring to a specific example or occurrence of something within a broader context.
Example: "In a given instance of data analysis, the results may vary based on the parameters set by the researcher."
Alternatives: "a specific case of" or "an example of".
In Section 2, we give a simple algorithm to check the feasibility of a given instance of the problem.
When analyzing the computational complexity of well-known puzzles, most papers consider the algorithmic challenge of solving a given instance of (a generalized form of) the puzzle.
Cloud is a platform that can support elastic applications in order to manage limited virtual machines and computing servers to application services at a given instance of time.
As part of this lesson, the PTs were asked to create a word problem for a given instance of AP, (4 × 3) × 2 = 4 × (3 × 2).
Validation can be understood as a routine that checks whether a given instance of source-code has any syntactic or semantic errors regarding the grammatical rules of the chosen programming language.
The system perspective is concerned with the behaviour and interfaces rather than implementation details, and engineering a given instance of a system is typically much more complex than the sum of its parts precisely because we are concerned with overall behaviour.
For instance, the 50% attainment set of a given method on a given instance is the set of solutions that are attained at least 50% of the time by this method on this instance.
Even after your dog shows signs of improvement in a given instance, a later return of the stimulus might still bring out aggression simply because the connections are still too closely wired for your dog.
The memory about an information content c, at a given instance, has a chance of either refreshing or fading.
where Minsol and Algsol are the lowest total tardiness for a given instance obtained by any of the algorithms and the solution obtained by a given algorithm.
For a given instance (partial ), the matching of the subject [9] at a location L is given by optimization equation (2) mentioned below: begin{aligned} T={T_{i,j}}_{left{ {i=1,2,ldots,n} right} {j=1,2,ldots,k}}.
