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Now, Theorem 4.6 states that choosing the largest such that minimizes the system energy while providing the required delay when the number of users is large.
Similar(59)
Since, there exist constants large such that (3.7).
Thirdly, since, there is sufficiently large such that (2.33).
If, for, we obtain a sufficiently large such that, for, (4.22).
Now, for any p ≥ 2, we take r sufficiently large such that r > p in (4.7).
Lemma 2.4 If M > 1 is large such that , then Γ is convex and nonempty.
In view of (H6) there exists an sufficiently large such that For we have (2.14).
Let N be sufficiently large such that c N + 1 < 1 − p N − 1 2 N − 2. (2..
Then, we can always take a sufficiently large such that (E.8).
From (4.16) and (4.18), there exists a sufficiently large such that (4.19).
Finally, we prove for any, there exists sufficiently large such that (311).
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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