Suggestions(2)
Exact(37)
Before proceeding we first prove the following lemma.
Before proceeding, we need to introduce a few concepts.
Before proceeding, we need to introduce some terminology.
Before proceeding, we note certain limitations of these data.
Before proceeding, we introduce some notation, definitions, and basic results.
Before proceeding, we introduce the natation used in this paper.
Similar(23)
Before further proceeding, we smooth the derived sequence, c k), k = -N + 1,...,0,1,...,N, through a moving average filter, which can be realized by an equivalent matrix H[42].
Before proceeding further, we need the following fact.
Before proceeding further, we introduce the following three lemmas.
end{aligned} Before proceeding further, we note the following.
Before proceeding further, we first prove the following lemma.
Write better and faster with AI suggestions while staying true to your unique style.
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