The phrase "a selected pair of" is correct and usable in written English.
It can be used when referring to a specific choice or selection of two items or entities from a larger group.
Example: "In the experiment, we analyzed a selected pair of variables to determine their relationship."
Alternatives: "a chosen couple of" or "a specific duo of".
The pair ((p, q)) is called a selected pair of φ (written: ((p, q subsetvarphi)).
The ORS algorithm estimates the PPR value between a selected pair of nodes at this stage.
Let (varphicolon X multimap Y) be an admissible mapping and ((p,q) subsetvarphi) be a selected pair of φ.
An upper semicontinuous map is said to be admissible in the sense of Gorniewicz (and we write ) provided that there exists a selected pair of.
An upper semicontinuous compact map is said to be admissible (and we write ) provided that there exists a selected pair of.
Let ((p, q)) be a selected pair of φ, i.e., we have a diagram: X,stackrel {p}{Longleftarrow},Gamma, stackrel {q}{longrightarrow}, X such that (varphi(x) = q(p^{-1}(x))), for every (x in X).
The latter results in a C index which estimates the probability of concordance for a randomly selected pair of participants from a new study, sampled from a distribution from which the existing studies are believed to have come.
The simulated datasets were created by iteratively combining a randomly selected pair of profiles to create a new profile until we had 10 000 profiles for each cancer types.
Because θW is roughly proportional to heterozygosity, we can further conclude that a randomly selected pair of safflower sequences will differ at an average of 1 out of every 303 bp (i.e., 1/0.0033 ≅ 303).
We estimate the model parameter ρ of Equations (4) and (6) as the probability a fan link connects the first to the second user of a randomly selected pair of users, corresponding to the average number of fans per user divided by the number of active users U.
The area under the ROC (AUC) is the probability that for a randomly selected pair of diseased and healthy individuals, the diseased individual will have a higher risk score.
