Sentence examples for valid thus from inspiring English sources

The clear US view is that, whatever the reason for the Council's failure to act, the determination of material breach in OPs 1 and 4 would remain valid, thus authorising the use of force without a further decision.

For emerging infectious diseases relative fluctuations in case numbers are large, see e.g. Figure 2d, and this simple geometric approach is not valid, thus making more robust estimation methods, as the one presented here, necessary.

However, testing proved this assumption was not valid, thus highlighting the importance of evaluating any assumptions of similarity imposed across studies.

Since these data are cross-sectional, the alternative option of having GHQ status as the outcome variable and overweight status as the explanatory is equally valid, thus association was ascertained both ways.

This process was developed to ensure that the resulting measures are both conceptually equivalent as well as cross-culturally valid, thus enabling data pooling in multinational clinical trials that enroll patients who speak various languages.

The OHCU decarboxylase activity was also detected in the full-length TTL, indicating that the N-terminal domains do not inhibit the active sites formed by the C-terminal regions; the reverse is also valid, thus supporting the idea of a bifunctional enzyme.

This includes automatic validation of the data ensuring that our tools receive only valid inputs, thus improving the security for the providers and eliminating senseless invocations and the need for validating the input in the source code.

In the case of inhomogeneous sparseness, this formula is no longer valid and thus we asked what would its generalization be.

At the other extreme, Tully thinks that, by the time government is formed, land is already scarce and so the initial holdings of the state of nature are no longer valid and thus are no constraint on governmental action.

However, there is another, often overlooked, possibility: that students' own teachers may not accept evolution as valid, and thus be inclined to present creationism or to present evolution as invalid.

Since the error functions are now separate, this implies that if one of the constancy assumptions is rejected due to an outlier, other channels can still generate valid estimations, thus increasing the robustness of the method.