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Exact(30)
So there exist,, and such that (43).
and so there exist and a subsequence of such that.
By (F), we get, so there exist such that on.
So there exist finite switchings in any finite time interval.
So there exist abstract mathematical objects that these expressions refer to and quantify over.
So there exist,, and a solution of (3.6) and (3.7) such that.
Similar(30)
and so there exists.
and so there exists such that.
So there exists a fuzzy number.
So there exists such that ext .
So there exists such that (3.23).
More suggestions(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