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We will use this notation of G throughout this work.
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We will use this notation for the rest of the paper.
We use this notation for the case of random variables to present more unified definitions (see Appendix "Dynamic LM-measures").
We the use this notation for the sake of convenience, to emphasize that ν t is directly connected to ψ t.
Let us use the notation of Theorem 4.4.
Let us use the notation of formal path integrals of physics.
We use this notation in the rest of this paper.
Note that for clarity we use this notation in contrast to the notation of even and odd subspaces (which is also used in the literature) in order to avoid any confusion with the even operators.
In this article, we use the notation of q-number as follows (see [1 14]): [ x ] q = 1 - q x 1 - q.
Using this notation, sentences of provability logic express facts about provability.
end{aligned}Here we use the notation of [136, §3.2].
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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