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By using the same idea, Kuroda could extend that Kato Kuroda argument up to (alpha >1).
By using the same idea as in Theorem 2.3, we can prove the following result.
Similar(58)
b The proof of this fact follows by using the same ideas made in the case D 1, p ( R N ) ; see [41].
Now, taking Λ ∗ ≤ Λ it follows that f ( u ) | x | − a p ∗ | u | p − 2 u ≤ V k, for every x in B r c, which give us f ( u ) ≤ V k | x | − a p ∗ | u | p − 2 u, in B r c. □. a The proof of this fact follows by using the same ideas made in the usual Sobolev spaces; see [40].
"We're using the same idea for shootings in Milwaukee".
Apple is using the same idea with this ad.
Using the same idea this time, we will use these Co-Ni nanowires to produce nanolaser.
The proof follows using the same idea as in the previous one, so we omit it.
end{aligned} Using the same idea of proof (7), we can obtain the proof of (8).
Using the same idea and arguments we prove the case (iii).
The test of line 11 could be implemented using the same idea.
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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