Your English writing platform
Discover LudwigExact(60)
We begin this section by proving the following crucial lemmas.
We begin this section with simple properties of determinants.
Let us begin this section with the following definition.
We begin this section by giving some notations.
We begin this section with some basic notations.
We begin this section with the following lemmas.
We begin this section by recalling [6, Theorem ].
We begin this section by introducing the following definition.
We begin this section with the following general-type statement.
We begin this section with some basic concepts [3, 4].
We begin this section with two standard inequalities as follows.
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