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Theorem 5.2 Let (D2 - D4) and (D6) be satisfied for each 1 ≤ i ≤ n.
Finally, the following nodal gas flow balance equation should be satisfied for each node.
Theorem 3.7 Let the following conditions be satisfied for each 1 ≤ i ≤ n : (C1 - C4), (C7), (C10) and (C13).
Theorem 3.8 Let the following conditions be satisfied for each 1 ≤ i ≤ n : (C1 - C4), (C10), (C13), and (C14) where.
Theorem 4.2 Let the following conditions be satisfied for each 1 ≤ i ≤ n : (D1 - D5), (C5) ∞, and (C6) ∞ where.
Theorem 3.3 Let the following conditions be satisfied for each 1 ≤ i ≤ n : (C1 - C4) with p i = ∞ and q i = 1, (C7) and (C8) where.
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which is satisfied for each.
First, we show, using induction, that (2.29) and (2.30) are satisfied for each (ngeq0).
Note that the connectivity and interference conditions as shown in (1) are satisfied for each group.
Results show that the demands are satisfied for each time period and for the market penetration scenarios adopted.
Since the transmission power and RBs are finite non-empty sets, therefore, condition 1 is satisfied for each femtocell.
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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