Sentence examples for comparable pairs from inspiring English sources

In the setting of ordered metric spaces, the conditions (1.1 1.3) are required to hold merely for all comparable pairs of elements (x, y in X).

Then, it can be seen that F is continuous such that F ( A 0 × A 0 ) ⊆ B 0. The only comparable pairs of points in A are x ⪯ x for x ∈ A, hence the proximal mixed monotone property and the proximally coupled weak contraction on A are satisfied trivially.

The detailed classification of these groups provides novel and experimentally testable predictions for functionally comparable pairs of Hox-proteins across the major model organisms.

No statistically significant differences were found, indicating that the matching process succeeded in identifying comparable pairs of individuals.

In brief, this measure reports the number of comparable pairs that are correctly ordered under the risk score.

This is typically achieved either parametrically or through, for example, matching of comparable pairs of individuals (e.g., Rubin 2006).

The only other recent comparable pair came in 1997, when the Braves' Jeff Blauser (.406) and Michael Tucker (.400) were both over.400 through the first 30 games.

Will Web 3.0 create a comparable pair of behemoths?

There exist (lambda_{1}, lambda_{1}in P) with (0leq r(lambda _{2})comparable pair (x, yin X), Ax and Ay are comparable.

There exist (lambda_{1}, lambda_{2}in P) with (0leq r(lambda _{1})+r(lambda_{2})<1) such that for any comparable pair (x, yin X), Ax and Ay are comparable.

There exist (lambda_{1}, lambda_{2}in P) with (0leq r(lambda_{2})<1) such that for any comparable pair (x, yin X), Ax and Ay are comparable.