Sentence examples for exists a weaker from inspiring English sources

However, we prove that there exists a weaker form of absorbing state, that we call Haar trace, for the free and the tensor convolutions.

Through a demonstration that there exists a weak form of the ESFR schemes which is both discretely and analytically equivalent to the strong form, we then extend the results obtained for the strong formulations to demonstrate that ESFR schemes can be interpreted as a DG scheme in weak form where discontinuous edge flux is substituted for numerical edge flux correction.

The computed rank correlation is 0.1936 (P<0.0001), which indicates there exists a weak correlation between them.

Then there exists a weak solution to Problem 1 in the sense of Definition 4.1.

Then by Lemma 2.3, there exists a weak solution for problem (3.2) satisfying, and (3.5).

We start observing that there exists a weak upper solution such that on and.

As we know that there exists a weak solution y to (2.2), due to (u= 1-kpartial_{x}^{2}+gamma_{2}partial_{x}^{2})^{-1}y), we know that there exists a weak solu= 1-kpartial_{x.

end{aligned} Since ({ x_{n} } ) is bounded, there exists a weak convergent subsequence ({ x_{n_{k}} } ) of ({ x_{n} } ).

Similarly there exists a weak negative correlation between the accessible population and revenue from sold tickets (− 0.19).

In this paper, we proved that there exists a weak solution for Schrödingerean technique for order performance by similarity equations.

As Cramer's V (0.162) obtained here represents a weak level of association between these two variables it can be deduced that there exists a weak inverse relationship.