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In this short section, we present some elements of the half-linear oscillation theory which we need in the proof of our main result.
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If diagnosed early, the esophagus may be of normal caliber (Figure 1a), though most patients present with some element of dilation (Figure 1b).
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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