Sentence examples for valid in all cases from inspiring English sources

As can be seen, Bound 2 and Bound 2 (relaxed) may not be valid in all cases, but increasing ρ improves the validity of the bounds.

In this paper, some basis-free expressions for the material time derivative of Lagrangian stress tensors are presented which are generally valid in all cases of coalescent principal stretches.

This, however, is not valid in all cases, and it is violated due to the existence of a LOS component that is stronger than other components.

However, since channel coefficients, as well as power vectors, are real valued and non-negative, only a single solution is valid in all cases.

After adjustment for the most parsimonious Cox proportional hazards model (the proportional hazards assumption was valid in all cases), HFE status was not associated with time to event for any outcome (Table 3).

This is a valid statement in all cases including use of different filtering and clustering methods through application of different-sized scanning templates.

We first quantified the LINE-1 methylation level in 42 liver metastases and obtained valid results in all cases.

Limitations of this method are that it relies on allometric scaling, which may not be a valid approach in all cases, and arbitrary safety factors to ensure safety of the starting dose.

However, when valuable or fragile goods are delivered, and more specifically within the e-commerce procedure, it is a generally valid assumption; indeed, in all these cases, postal operators require very precise packaging standards.

Police Scotland's assessment of "disorder and violence" was more valid, in any case.

The literature demonstrates that this is not valid in any case, but it is up to now the backbone in the design of brittle components.