Sentence examples for strengthened condition from inspiring English sources

This cluster strengthened condition produced the optimum toughness observed throughout the ageing sequence.

Later, Ding [7] strengthened condition ( L 1 ) by. ( L 2 ) there exists a constant α > 0 such that l ( t ) | t | − α → + ∞ as; | t | → ∞.

Finally, a unital of even order satisfying the first two intrinsic characterization conditions of Wilbrink is shown to satisfy the strengthened condition by an elementary (combinatorial-geometric) proof and without invoking deep results from group theory.

Using the strengthened condition and results of Wilbrink (1983) and Grundhöfer, Stroppel and Van Maldeghem (2013), a new intrinsic characterization of the classical unital is given without assuming the absence of OʼNan configurations.

In this paper, it is aimed to investigate the changes of modal parameters considering undamaged, damaged, repaired and strengthened conditions using ambient vibration tests.

The subsequent two propositions enable us to strengthen condition (12).

Remark 4.1 To ensure uniqueness of the fixed point, we can strengthen condition (3.1) as follows.

In order to estimate the asymptotic direction of the hyperbolic orbit, we need to strengthen condition (V3), which is the following theorem.

In order to deal with differential operators having superlinear growth at infinity, we need to strengthen condition (2.5), taking a Nagumo function with sublinear growth at infinity, as in the statement of the following result.

Further we note that when we strengthen condition A3w to the strict inequality A3, the corresponding second derivative estimates as treated in [11], (see also [20] and [18]), are much simpler to prove although even here the constructions in Sect. 2 are still new.

2. To strengthen conditions for social and environmental sustainability.