Your English writing platform
Discover LudwigSuggestions(5)
Exact(44)
Some basic definitions and lemmas are given as follows.
Section 2 provides some basic definitions and lemmas as preparation.
In Section 2, we review some basic definitions and lemmas.
In Section 2, some basic definitions and lemmas regarding difference equations are given.
In Section 2, we introduce some basic definitions and lemmas and a generalized embedding theorem.
We start with recalling some basic definitions and lemmas on b-metric spaces.
Similar(16)
2, we give some basic definitions and useful lemmas.
In Section 2, we recall the basic definitions and present Lemmas 1-3.
In Section 2, we give some basic definitions and necessary lemmas which will be used in later sections.
In this section, we introduce some notation, basic definitions, and important lemmas which will be needed in this paper.
In Section 2, we introduce some notation, basic definitions, and important lemmas for proving the main theorem.
More suggestions(12)
basic notions and lemmas
basic facts and lemmas
basic notations and lemmas
basic definitions and properties
basic concepts and lemmas
basic theorems and lemmas
basic definitions and facts
basic definitions and examples
basic definitions and concepts
basic definitions and results
basic definitions and preliminaries
basic definitions and theorems
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