Sentence examples similar to a condition to the validity from inspiring English sources

This confirms the validity of the model developed since Aldenderfer and Blashfield (1984) also proved that the accuracy in the classification of cases (indicated by a high hit ratio) is a necessary condition for the reliability of clustering, but it is not also a sufficient condition to affirm the validity of the latter.

To find a sufficient condition for the validity of inequality (3.2), we apply to III locally Hardy-type inequality (3.6).

To find a sufficient condition for the validity of inequality (3.1), we apply to I locally (that is, for any k ∈ Z ) the Hardy-type inequality ∥ ∫ s x k h ( z ) d z ∥ p, u, I k ≤ B ( x k − 1, x k ) ∥ h ∥ 1, v, I k, h ∈ M + ( I k ).

The crude phenolics were extracted under optimum conditions to check the validity of the model.

The simulations were conducted under two boundary conditions to verify the validity of the compensator.

All the enzymatic hydrolysis assays were conducted under the same conditions to ensure the validity of comparisons.

An EA experiment is a set of algorithm's implementations that run under controlled conditions to check the validity of a hypothesis.

Therefore, a necessary condition for the validity of (6.3) is (varepsilon le p(c_{L})).

The following remark is of interest; it concerns a condition of validity of the assumption that a countable union of closed sets is closed used in Theorem 2.5.

The condition for the validity of a Freundlich-type adsorption model is adsorption on heterogeneous surfaces (Kagne et al. 2009).

What about the basic norm, is efficacy a condition of its validity?