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Discover Ludwig"functions given" is correct and usable in written English.
It is a phrase commonly used in mathematics and computer science. For example, "The program is designed to perform the functions given in the user manual."
Exact(60)
However, concerning thermosensation and nociception, the posterior insula may be part of the primary cortical representation of these functions given current functional neuroanatomic findings (Craig et al. 2000).
For functions, given by (1.3).
Here,, are Green's functions given by.
We consider the functions, given by (3.13).
For let the functions given by (2.25).
Consider the natural action of on functions, given by.
(4.12). in which and are known functions given by.
Comparing the stability index functions given in Eqs.
Let be the normalized Hermite functions given by (3.6).
{text{F}}} right)_{2} = hbox{max} ({text{throughput}}) (1b Both the objective functions, given in Eqs.
For, let us now consider the sequences of functions, given by (2.72).
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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