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(i Problem (I) implies Problem (II) if is weakly -pseudomonotone.
(ii Problem (II) implies Problem (I) if is -hemicontinuous.
Since U is a closed, convex, and bounded subset in L 2 ( Q ; R N ) and J ( u ) is strictly convex in U, by Lemma 4.1, J ( u ) attains the unique maximum in U, which implies Problem (1.1) has a unique optimal control in U.
Therefore, an application of Lemma 2.5 implies problem
Therefore, an application of Lemma 2.6 implies problem
Similar(55)
Background : Palliative care implies problem-solving and ethical decision-making in which nurses are engaged as human agents in personal and interpersonal actions.
As the name implies, problem-based learning is an instructional method in which problems are the focal part of the learning process.
Inherently, de novo assembly of next-generation sequence data implies problems in resolving repeat structures, resulting in an increased risk of underestimating the IS element copy number.
The following example illustrates that problem (4) does not imply problem (3).
He or she must make detailed analysis in order to find the depth or implied problem.
We agree that there is a potential for uncontrolled confounding; however, its frequency is critical to understanding the magnitude of the implied problem.
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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