The phrase "a given partitioning of" is correct and usable in written English.
It can be used in contexts related to mathematics, computer science, or data analysis when discussing a specific way of dividing a set or structure.
Example: "In our analysis, we will consider a given partitioning of the dataset to evaluate its performance."
Alternatives: "a specific partitioning of" or "an assigned partitioning of".
The system switching rule is characterized in terms of a given partition of the system state-space.
In order to test the phylogenetic signal and the contribution of each of the single loci to the general topology, we calculated the number of single-gene trees supporting a given partition of the general topology.
For a given partition of variance between linear (L), nonlinear (NL and IIDD error ε, how much data n ⋆ is required before complete selection of causal variants occurs (i.e., crossing of the phase boundary for algorithm performance)?
For a given partitioning, the total magnitude of the interactions between subsystem models is evaluated.
The modularity of a given partition is then the probability of having edges falling within groups in the network minus the expected probability in an equivalent (null case) network with the same number of nodes, and edges placed at random preserving the nodes' degree.
We intend to implement alternative methods of choosing the best value of k, such as employing the GAP statistic [37], a measure that evaluates the difference (gap) between the within-cluster sum of squares of a given partition with its expectation under a null reference distribution.
The parameter H measures the probability of obtaining by chance a given partition assuming a random distribution of intracluster and intercluster connections.
Finally, we show how GPT allows to deal with strong preservation of new languages by providing an efficient algorithm that computes the coarsest refinement of a given partition that strongly preserves a language generated by the reachability operator.
Jerarca implements two mathematically independent criteria in order to evaluate the community structure of a given partition.
Nevertheless, as documented elsewhere [ 22- 24], the performance of a given partition in isolation should not prevent its combination with other datasets.
