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The phrase 'Throughout this paper' is correct and usable in written English
It can be used to refer to something that has been discussed in a paper, article, or essay. For example: "Throughout this paper, a number of possible solutions to the issue have been suggested."
Exact(60)
Throughout this paper, we denote.
Throughout this paper, we let.
Throughout this paper, we assume that.
Throughout this paper, let denote either or.
Throughout this paper, we use standard notations.
Throughout this paper, we assume that and.
Throughout this paper, is a metric space.
Throughout this paper, are given numbers.
Throughout this paper, are given numbers, and.
Throughout this paper will be a -algebra.
Throughout this paper, it is assumed that.
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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