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The GSC structure [13] depicted in Figure 2 can then be applied in this situation.
We should notice that F ˜ ( t, x ) = { y ∈ R n : F ( t, x, y ) > α ( x ) } is not closed valued, which means that even if the set-valued map F ˜ is lower semicontinuous, Michael's selection theorem still cannot be applied in this situation.
From this we see that to solve the problem (P) it remains to prove that the map T has a fixed point in E. Since the Arzela-Ascoli theorem cannot be applied in this situation, then, to prove that T is completely continuous, we need the following compactness criterion: Lemma 9 [19].
In fact, 0 is the largest fixed point and 1 2 is the least fixed point in [ 1 2, + ∞ ) ⪯. Remark 3.5 In Example 3.4, the considered function η is not a decreasing function and η − 1 { 0 } = { 0, 1 3 }. Thus, Theorem 1.1 cannot be applied in this situation.
The Court could find that the prohibition on corporate spending on electioneering communications is still constitutional, but not as applied in this situation.
Before the criteria can be applied in this situation, data linkage may be used to obtain person-identifying hospital discharge data.
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I think that the contest statute can apply in this situation, if it's applied properly.
But perhaps the right to believe that was defended by William James applies in this situation.
Write a one-page fact sheet citing the relevant cases or statutes that apply in this situation.
Lawyers have assured her that federal campaign-finance rules do not apply in this situation, her aides have said.
But it is unconfirmed whether the ruling would in fact apply in this situation, as the imagery of of the road is not "inadequate, irrelevant … or excessive".
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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