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Discover LudwigThe phrase "an depending" is not correct in written English.
It is not usable because "depending" is a present participle and does not require an article like "an."
Example: "The outcome is depending on various factors."
Alternatives: "a reliance" or "a dependence."
Exact(2)
So there exists an, depending on and, such that for every.
It is shown that these transformations are bounded in the spaces LpγBn(Rn), p > 1, with a constant independent of the dimension an depending only on p and the number of different eigenvalues of the matrix B. The proof of this result is analytic and uses appropriate square-functions defined in terms of semigroups of operators related to LB and the Littlewood-Paley-Stein theory.
Similar(58)
a depending on the method used.
Thus, access is a particular case of a depend relation.
We really trust an depend on each other to compose.
Notice that y and a depend on x.
A: Depends on whom you ask.
A: Depends if they want to pay us.
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A compliment or an insult, depending on your taste.
He became a quadriplegic depending on a ventilator to breathe.
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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