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Eventually, like someone jimmying the tumblers on a lock, she might spin things just right and find a sequence that finally made sense.
The multivalued analog of Banach's Contraction Principle allows us to find a sequence in such that.
In this way, we will find a sequence in such that, where and (4.5).
Taking and, from Theorem 2.5, we find a sequence, such that (3.2).
Therefore, there is an easy way to find a sequence that is ( C, 1 ) summable, but not convergent.
By continuing this process, we can find a sequence ({x_{n}=Tx_{n+1}}) for all (ngeqslant 0).
By the same argument, we get In this way, we will find a sequence in such that where and (3.11).
Note that In view of (1.18), we can find a sequence of positive numbers such that and, where (3.4).
Then we can find a sequence and, such that, by passing to a subsequence if necessary, (3.16).
The authors define an LP model with the goal to find a sequence of configurations that maximizes network lifetime.
Repeating this step, we will find a sequence ({u_{n}}), which will converge to a solution of BVP (1.2).
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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