Sentence examples for shown to be valid for from inspiring English sources

Also, the separation principle is shown to be valid for the observer-based design.

Simulation results were shown to be valid for various reactivity ratios of the hydroxyl groups.

Furthermore, it is also shown to be valid for various different radio frequency (RF) cancellation solutions.

These correlations have been shown to be valid for all the available data in the published literature.

The technique here detailed is shown to be valid for simple structures subject to axial and transverse impact loads.

In addition, the fractal decay kinetics is shown to be valid for both contiguous and non-contiguous surfaces.

While these questionnaires have been shown to be valid instruments for screening children with psychiatric disorders, formal diagnosis of psychiatric disorders cannot be inferred.

Under this assumption, Theorem 2.1 is shown to be valid even for ε = 0. Theorem 3.1 Let p − = 1 and q − > 0. Define Ψ by (2.5).

However, clinical case vignettes have been shown to be valid tools for measuring the quality of clinical practice [ 14, 15].

These psychiatric rating scales have long been used in clinical trials and have been shown to be valid tools for differentiating anxious and depressed patient subgroups [ 21, 22].

The complete questionnaire contained many indicators of social quality that have all been shown to be valid proxies for their relevant social quality domain [ 20].