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Making use of Lemma 2, (w_{3}>0) and the arbitrariness of (bar {varepsilon}_{1}), (limsup_{trightarrowinfty}frac{1}{t}int_{0}^{t}z(s),dsleqfrac {w_{3}k_{2}}{c_{3}}), a.s. is obviously verified.
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Since the expressions of the maximum sum-EST for the suboptimal and optimal schemes are (sum _{n=0}^{K-1}T_{{text {max}}}^{dagger (n)}) and (sum _{n=0}^{K-1}T_{{text {max}}}^{ddagger (n)}), respectively, it obviously verify the maximum sum-EST for the suboptimal or optimal scheme is much larger than that for the round-robin scheme.
If the sequence { S n } (resp. { T n } ) of averaged mappings consists of a single mapping S (resp. T), then { S n } and { T n } obviously verify conditions (3.1) and (3.2), and hence from Lemma 3.3 we have the following corollary.
Obviously, it can be verified that Ω is positively invariant with respect to system (2.1).
A verified certificate obviously does not have the same cachet as a university degree, but Coursera's agreement with the American Council on Education (ACE) to evaluate a subset of courses to see if students can use them to qualify for credits toward a degree is an important step as the company seeks to radically redefine higher education.
In contrast, recent data from a retrospective, non-randomised single-centre analysis suggest that KRAS may rather be a predictive marker for erlotinib efficacy than a prognostic factor; this information obviously needs to be verified by a well-designed prospective study (Kim et al, 2011).
I obviously can't verify the above quotes, and I know anecdotal evidence should be taken lightly, but this is just a small selection of the responses I got from one casual query.
We obviously had to verify it was OK with the infection control team.
However, "this is obviously difficult to verify and enforce, and it appears not to be satisfied in practice" (Blanchard and Landier, 2002, p. 230).
It's obviously hard/impossible to verify these numbers for us, so it's worth taking them with a grain of salt.
Further investigations are obviously required to verify this finding, including more thorough sampling of the Daphnia transcriptome and functional data such as in situ hybridizations to support the notion that these genes may have contributed to biological innovations.
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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