Your English writing platform
Discover LudwigSuggestions(2)
Exact(6)
Section 2 introduces some basic results which are necessary for the proof of Theorem 1.1.
Now, we present some basic results which are necessary to prove the main results.
In this subsection, we produce several basic results which will be used in our later analysis.
In this section, we first recall some basic results, which will be used in the next section.
In this section, we introduce preliminary facts and some basic results, which are used throughout this paper [21, 22].
In this section, we introduce preliminary facts and some basic results, which are used throughout this paper (refer to [9 15]).
Similar(54)
The basic result, which is a very interesting and useful one, is that for a linear system and in fact, it's whether it's time-invariant or not, that this applies if you put nothing into it, you get nothing out of it.
This section begins with a basic result, which plays a pivotal role in the forthcoming analysis.
Among others, the authors of [2] quote, in an equivalent form, the following basic result, which is certainly folklore.
We obtain a basic result which is used elsewhere in the text.
In this section, we briefly recall some basic known results which will be used in the sequel.
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