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Discover LudwigThe phrase "we shall denote" is grammatically correct and can be used in written English
It is typically used to introduce a definition or a symbol that will be used in the rest of the sentence or paragraph. Example: "We shall denote the sum of all even numbers between 1 and 10 as E, and the sum of all odd numbers as O. Therefore, E equals 30 and O equals 25."
Exact(60)
We shall denote this function by u.
We shall denote J = [ a, b ].
For convenience, we shall denote below.
We shall denote these values as represented text lengths.
We shall denote this GUG with best rate (GUG-BR).
By I we shall denote the unit interval ([0,1]).
We shall denote weak convergence by ⇀ and strong convergence by →.
We shall denote by ℕ the set of all natural numbers.
We shall denote by P B K K ), the family of nonempty bounded proximinal subsets of K.
In this case, we shall denote this limit by (D_{q}f(0)).
Proof For fixed z 0 we shall denote l z 0, ρ ≡ l ρ.
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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