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Applying the hypothesis on and since (4.53).
To identify the SHs and protect PU transmission, different local spectrum sensing techniques have been proposed for individual SUs by applying the hypothesis testing criteria discussed above.
Now, applying the hypothesis that G is a nilpotent group, by Lemma 2 we find that (G^{(j)}) is cyclic, consequently (jleq r-2), which is a contradiction (see the definition of (M_{i,j})).
As before, take φ = hK g), from Lemma 1, Lemma 2, and Theorem 1, we get V ( f ) n - p n ≤ V ( g ) n - p n. Applying the hypothesis, and from the definition of the Aleksandrov body and Lemma 1, we obtain the desired results.
Hence, for the purpose of a more quantitative representation of the historical Nankai Trough earthquake sequence, applying the hypothesis of alternative hypocenters on the eastern segments to the quasi-dynamic seismic cycle simulations, which have modeled only the hypocenters in Kumano-nada, is an urgent task.
Divergence times among the seven haploid monophyletic lineages in the Cryptococcus species complex were estimated by applying the hypothesis of the molecular clock.
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Applying the hypotheses (f0), (c0) and (d0) it is easy to show that x = (u, v) ∈ [x -, x+], where x± are defined by (5.6).
The complement to gathering omic data by applying the hypothesis-driven framework of Kurland and his collaborators (Fig. 1) is to gather and use omics data in an untargeted approach to try to generate novel hypotheses and to identify new targets that inform subsequent experiments.
The reason for this is that each method employs a different philosophy in applying the hypotheses tests.
This hypothesis…can be applied in the same sense as physicists apply the hypothesis of a flow of electric fluid.
Meteorological phenomena in particular were an opportunity to apply the hypothesis of the force-space bond, the idea that active, dynamic forces modify each other and that external modifications of a radiation will affect the internal constitution of them.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com