Sentence examples for be a selected pair from inspiring English sources

Let (varphicolon X multimap Y) be an admissible mapping and ((p,q) subsetvarphi) be a selected pair of φ.

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).

A pair of single valued continuous maps of the form is called a selected pair of (written ) if the following two conditions hold: (i) is a Vietoris map, (ii) for any.

The pair ((p, q)) is called a selected pair of φ (written: ((p, q subsetvarphi)).

A pair (p, q) of single-valued, continuous maps is called a selected pair of φ (written (p, q) ⊂ φ) if there exists a metric space Z such that the following two conditions are satisfied: (i) p : Z → X is a Vietoris map,   (ii) q(p -1 x)) ⊂ φ(x) for any x ∈ X, where q : Z → Y is a continuous map.  .

To sum: cumulative skew of the up-and-up type is the norm, to be expected between a randomly selected pair, and the other two types are special, occurring only between inverse-conjugate pairs.

The C-index estimates the probability that the predicted order of events is correct in a randomly selected pair of participants.

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.

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.

Product moment correlations were calculated for selected pairs of variables.

A map is said to be a Lefschetz map if for each selected pair the linear map (the existence of follows from the Vietoris theorem) is a Leray endomorphism.