Suggestions(1)
Exact(18)
Most commonly, a dash connects an independent clause with another, with a separate or interrupting thought plus a conjunction like or, but, yet, as, for, and after the second dash.
It follows that as for and (3.38).
Let be defined as for and for and is a nonegative and nonincrease function.
and are defined as for and for and similarly for and for.
As a result we obtain the function defined as for and, and for, for which (317). and the equation (318).
For any function with and any, we define as for, and For the purpose of convenience, we write.
Similar(42)
And as for breaking it?
(vi) and as, for each.
And as for Welles, and Hitchcock, and Kubrick.
And as for Elephant and Castle?
And as for buttons and time well, see the movie.
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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