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Discover LudwigThe part of a sentence "function given by" is correct and usable in written English.
You can use it when you want to describe a function written out in a mathematical equation. For example: "The function given by f(x) = x^2 + 4x + 5 describes the trajectory of a projectile."
Exact(60)
For estimating the marginal risk a popular model for the cumulative incidence function given by Fine & Gray (1999) is used.
This optimization was based on minimizing an error function given by the difference between the experimental and analytical frequencies.
Determinantal and permanental processes are point processes with a correlation function given by a determinant or a permanent.
The function given by (3.23).
and for the function given by (3.21).
where is the convex function given by,.
where is the dual function given by (25).
Let us consider the function given by (3.24).
Hence, the function given by (2.64). is also holomorphic.
where is the Green function given by (3.9).
where is the indicator function given by: (8).
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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