Sentence examples for assumption condition from inspiring English sources

Thus, the assumption condition (8) is a special case of the assumption condition (7).

By assumption, condition (a) of Theorem 3.5 is satisfied.

This is a contradiction to the assumption condition (1.7).

It follows from the assumption condition (E1) and (3.42) that (3.50).

By Lemma 3.3 and the assumption condition, it follows that (3.27).

It follows from (4.22) and assumption condition (4.2) that and hence there exists and such that for all.

Proof Let the assumption conditions in Theorem 3.2 hold.

It follows from the assumption conditions (E1), (E2), and Step 2 that (3.27).

Section 2 of this paper describes the scheduling issue and gives the model's assumption conditions.

The numerical results show that this technique is more competitive than the nonmonotone method of [47], but it requires strong assumption conditions for convergence analysis.  .

Additionally, the assumption conditions imposed on all C n ( n ≥ 2 ) are not weak at all since each one is in fact an intersection of countably many sets.