The phrase "a given set of representations" is correct and usable in written English.
It can be used when referring to a specific collection or group of representations that have been defined or established.
Example: "In our analysis, we will focus on a given set of representations that illustrate the key concepts of the theory."
Alternatives: "a specific collection of representations" or "a defined group of representations".
Productivity refers to a representational system's unbounded ability to generate new representations from a given set of symbols.
Computing the minimal representation of a given set of constraints (a CSP) over the Point Algebra (PA) is a fundamental temporal reasoning problem.
Given the relatively good agreement between the methods, and the lack of any apparent bias between the methods, the diffusion wafer method appears to offer advantages over the diffusion cell method if better statistical representation of a given set of rock samples is desired.
Biologists generally agree that with enough data on DNA it is possible to say that someone's ancestry is more likely to include representation from a given set of continents.
Therefore we apply a structured representation of a given set of invariants, which is explained in the Section Structuring Method.
In this study we employed a very specific notion of stimulus-response learning, namely learning an association between a given sensory representation and a given set of motor responses.
In brief, TANGO calculates the statistical significance of GO categories' over-representation within a given set of genes by computing the upper tail of the hypergeometric distribution.
Theories being sets of propositions, several theories could likewise be unambiguously coordinated with a given set of facts and thus count as equally true representations of those facts.
The MDL principle is a formalization of Occam's razor in which the best hypothesis for a given set of data is the one that yields compact representations.
Hence, some researchers have focused on topologically restricted classes of networks, such as galled trees and level- k networks, that are more tractable, but have the practical draw-back that a given set of clusters will usually not possess such a representation.
