Sentence examples for remove the hypothesis from inspiring English sources

We remove the hypothesis T with bounded range and obtain the same result by the different method from [8].

(2) We remove the hypothesis T with bounded range and obtain the same result by the different method from [8].   (3) We extend formula (2.1) of [8] to (2.13) in this paper.

First we apply the result of Knežević and Mateljević [10] to estimate the hyperbolic area distortion under harmonic quasiconformal mappings from (mathbb {D}) onto itself, and we remove the hypothesis of harmonicity in Theorem 2.

In 2014, Lu and Zhang [16] improved the results in [17] by removing the hypothesis that ω is concave and reducing the condition (omegain operatorname{Dini}(1/2)) to the weaker condition (omegain operatorname{Dini}(1)).

In the raven color problem, the verifiable hypothesis is "a nonblack raven will be observed", which receives simplicity rank 0. After removing the hypothesis that a nonblack raven will be observed, the only remaining possibility is that only black ravens will be observed, hence this hypothesis is verifiable in the restricted hypothesis space and receives simplicity rank 1.

We removed the hypothesis regarding epiphyte functional type differences because sufficient observations to detect trends were only available for 1-2 speries per functional type.

In retrospect, we could have removed the hypotheses about adverse outcomes arising from childbirth fear and anxiety from the suggested hypotheses because evidence was not as robust for negative neonatal outcomes arising from these psychological states.

Now, we remove the continuity hypothesis of f and g, and get the following theorem.

There are two reasons for this: 1) The backward procedure we applied looked at whether there was sufficient evidence to remove the alternative hypothesis.

To remove the additional hypotheses in Lemma 1, we will derive some uniform estimates independent of δ, v L 2 ( 0, T ; D 3 ), and ρ 0 D 2. First, we consider the solution ρ of the linearized continuity Equation (8 1.

Second, the accuracy of this method is checked by using the Rayleigh-Ritz method, which removes the restrictive hypothesis on the wet mode shapes.