Sentence examples for valid for the case from inspiring English sources

These values are no longer valid for the case where continuity exists.

The model is developed using basic chemical kinetics and Hertzian contact mechanics, and is valid for the case of a stable oxide layer.

A simple comparative cost optimization analysis of the various upgrading solutions is presented, and conclusions are given for the preferred upgrading concept valid for the case study structure.

All experimental results reveal that the theory of the electrochemical nucleation and 3-D growth on a foreign substrate is valid for the case of the electrochemical alloying.

We develop such a model, and present data showing that it appears to be valid for the case of recruitment into the population of youth who consider post-secondary education.

However, the results revealed by these tests are only valid for the case of pure bending and do not incorporate the effects induced by the possible presence of an axial force within a member.

The comprehensive model is found to be valid for the cases of either passive or active patches, as well as the combined case.

: According to Theorems 3.4 and 3.5, Theorem 3.7 is valid for the cases.

Our approach is valid for the cases at resonance or non-resonance.

The danger is that the visual reasoning will not be valid for the cases that are unintentionally excluded by the visual representation, with the result that the step to the conclusion is an unwarranted generalisation.

Nevertheless, this explanation is not valid for the cases where hMSH6 was the only focal deficient protein.