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We start with a theorem on strong inequalities.
Our study also shows that history cannot be ignored when thinking about the future and sustainability especially in areas with legacies of strong inequalities caused by armed conflict.
The result in last section shows that -weights are stronger than those of condition (2.3), which is sufficient for the weak inequalities, while the following conclusions show that -condition is sufficient for strong inequalities.
"Our governor and our General Assembly looked at those strong inequalities and decided to make them deeper," Nichol added.
Strong inequalities existed for women, while for men they were minimal.
It is also necessary to consider the strong inequalities in the distribution and access to treatments due to the heterogeneous distribution of innovative drugs in Italy [ 33].
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It follows from Theorem 2.1 that the strong inequality (6) and the strong functional differential inequality (5) for almost all t ∈ I[x] imply the strong inequality (7).
Lemma 3.3 shows that the two-weight strong inequality still holds for differential forms.
In the next two lemmas, we assume that on E0 and we prove that the strong initial inequality (6) and the weak functional inequality (15) imply the strong inequality (7).
Remark 3.3 When we apply Darbo-Sadovskii's fixed point theorem to get the fixed point of a map, a strong inequality is needed to guarantee its condensing property.
For the both cases considered, the supersaturation of sidewall adatoms is several times larger than that of surface adatoms, which is qualitatively consistent with the strong inequality λ f/λ s ≫ 1.
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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