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Hence, by, we have from Lemma 2.5 that exists; consequently, is bounded.
Since q ∈ Fix ( T ) arbitrarily, and lim n → ∞ ∥ x n − q ∥ exists, consequently, d ( x n, F ) exists by Lemma 2.5.
This means that the study has a high chance of detecting a difference between groups if one exists; consequently, if the study demonstrates no difference between groups the researcher can be reasonably confident in concluding that none exists in reality.
Such afterslip would load another asperity (a strongly-coupled area on the fault), if it exists, and consequently another earthquake would be induced there, depending on the stress state on the asperity, the amplitude of perturbation and the relative distance between asperities.
Several power calculations for microarray methodologies exist, consequently sample size was determined and compared with two power calculation approaches.
Few models exist, consequently even faculty members who have attended workshops about active learning mischaracterize their own performance (Ebert-May et al., 2011).
Methylation of promoter regions and other regulatory sequences usually tends to repress gene expression, although examples leading to gene activation exist; consequently, DNA methylation is now recognized as an important regulator of transcription [ 11, 18, 19].
You exist, therefore it exists.
It exists.
It exists because people say it exists.
"For exempt – it exists.
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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