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You assert that we accuse professors of anti-American statements, unpatriotic behavior and disloyal acts -- but these words are never used in the report.
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Similarly, when we assert "that house is not red" we are asserting a state of affairs we have apprehended, namely, the not being red of the house.
We assert that is bounded.
We assert that is strictly contractive on.
Now, we assert that is bounded.
where We assert that belongs to.
We assert that { x n } is a Cauchy sequence.
Finally, we assert that is an increasing operator.
First, we assert that ϒ1 is a KKM mapping.
We assert that y^{Delta} > 0 mbox{ eventually}.
We assert that is a generalized complete metric space.
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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