Your English writing platform
Discover LudwigSuggestions(5)
Exact(47)
First, we outline some useful mathematical properties that we shall make use of.
Eventually, I shall make use of them, though perhaps without even knowing it.
We shall make use of the following results.
We shall make use of the following lemmas.
We shall make use of the following well-known inequality.
To this goal, we shall make use of the following two propositions.
Similar(13)
For showing the deeper meaning of several results derived this way, we shall make use, however, of different rather technical systems of coordinates which will be introduced in later sections.
Mr. Sloggatt said the sale has brought "new energy, enthusiasm and ideas" and that Tribco "has resources that I shall certainly make use of".
We shall frequently make use of the following (compact) imbedding theorem for the weighted variable exponent Lebesgue-Sobolev space in the next sections.
Throughout the proof, we shall frequently make use of the time (t_{a,vartheta_{1}}) when the coordinate (theta_{1}) reaches the value a, i.e. (theta _{1}^{(f)} vartheta_{1},t_{a,vartheta_{1}})=a).
We shall also make use of the set E= biggl{ x in X : frac{d}{dt}C t) x text{ is continuous} biggr} with the norm |x|_{E}= |x|+ supbiggl{ biggl| frac{d}{dt}C t)xbiggr| : t inBbb {R}biggr}.
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