Sentence examples for condition for validity from inspiring English sources

The parameters have been chosen in such a way that the condition for validity of the semiclassical approximation, k F d > > 1, will be applicable.

The only condition for validity of this approach is that the detector has a certain minimum size given by Eq. (2).

By comparing the breakthrough curves for saturation with the appropriate asymptotic solutions the conditions for validity of the 'constant pattern' approximation are obtained.

These conditions certainly sound very restrictive but in reality the effective medium theory has been successfully applied to a wide variety of systems which at first glace do not seem to satisfy the conditions for validity.

The last assumption posits that internal validity is not only a necessary but also a sufficient condition for external validity or generalizability.

or, equivalently, (3.12). is a necessary condition for its validity as (because and, ).

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

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

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

Here, a phase-plane analysis allows the derivation of a new condition for the validity of pseudo-first-order kinetics that is independent of the initial receptor concentration.

It is also worth mentioning that, except the condition (4.15), another sufficient condition for the validity of the calmness property (4.14) is provided by the notion of uniform weak sharp minima.