Sentence examples for ensures the conclusion from inspiring English sources

Hence, Theorem 3.3 ensures the conclusion.

end{aligned} Hence, Theorem 3.3 ensures the conclusion.

Hence, the mountain pass theorem as given by Pucci and Serrin (see [2]) ensures the conclusion.

Hence, taking assumption (A3) and (2.3) into account, Theorem 3.1 ensures the conclusion.

Since (I_{lambda}) is unbounded from below, it is not strictly global and the mountain pass theorem ensures the conclusion.

Hence, λ ¯ ∈ ] 2 k ˜ T e ∥ a ∥ 1 1 β ¯, 2 T e ∥ a ∥ 1 1 α ¯ [ and Theorem 3.3 ensures the conclusion. □. In many papers [13, 20, 22, 28] and [23], the authors obtain the existence of infinitely many solutions for problem ( D λ, μ ) while the impulsive term is supposed to be odd.

This highlighted that the reminder-responses have an important role to play, not only to increase sample size but to ensure the conclusion on the missing data mechanism is the correct one, to inform the most appropriate analysis strategy.

Once I identified patterns, I triangulated the findings using secondary data sources to ensure the conclusions accurately represented the data and were consistent with how students reflected upon their own learning.

In this system, logical validity is defined in terms of different possible contexts of use: a sentence is valid iff it is true in every possible context of use; and an inference is valid iff the truth of the premises ensures the truth of the conclusion in every possible context of use.

Larger sample sizes could help improve the power and ensure the correct conclusion regarding whether these SNPs are associated with specific breast cancer subtypes.

In addition, the sample size of this study ensures the statistical power to draw conclusions.