Sentence examples for holds provided from inspiring English sources

holds, provided (resp., ).

Hence (iii) holds provided (ii) holds.

holds provided that is sufficiently small, where is in Lemma 1.3.

This equation holds provided that r N 0 − i ≠ r N 0 − j ∀ i, j.

Finally, it is straightforward that (2.7) holds provided that satisfies (2.6).

However, the inequality (7.1) holds provided that ∫ 0 ∞ m ( y ) f ( y ) d y = 0.

In this presentation we want to review the circumstances under which this superiority holds, provide some new arguments and clarify the motives to go beyond space-filling.

The result of the match is a relation and a degree confidence that the relation holds providing an estimate of the correctness of the matches.

Their testimony and their return with the jury to the dungeon where they had been held provided the most dramatic moments of the trial.

Points can also be scored by either side for declaring any melds they may hold, provided that they are superior to those of the other side.

That jitterbug caused skirts to twirl to ungodly heights, and the waltz, with that touching and holding, provided such an occasion of sin it should be confined to those already in a state of matrimony.