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The phrase "a given function of" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to describe a function that is specified or defined in a particular way.
Example: "In calculus, we often analyze the behavior of a given function of x to determine its limits and derivatives."
Alternatives: "a specified function of" or "a defined function of".
Exact(14)
Pressure errors are prevented by solving an additional transport equation for a given function of the ratio of specific heats.
The magnetic reconnection process is initiated by variation of a local resistivity assumed to be a given function of time and spatial coordinates.
This paper is concerned with the numerical solution for linear scalar advection problems, the velocity field of which may be uniform or a given function of the space variable.
Output end is open, v n + 1 = 0. Input voltage u 0 ( t ) is a given function of t.
where L and N are the linear and non-linear components, respectively, and H is a given function of η.
Put Ξ = E × C B, ℝ) × ℝ n and suppose that F : Ξ → ℝ is a given function of the variables (t, x, w, q).
Similar(46)
The Cesàro means of a given function is of special interest in this paper.
To prove our main results we use the estimates of the rearrangement of a given function in term of its derivatives.
The convexity for a given function is one of the most powerful tools in establishing analytic inequalities.
Mathematically, optimization involves the minimization or maximization of a given function subject to a number of constraints.
We prove that the Legendre coefficients of a given function coincide with the Fourier coefficients of a suitable periodic function associated with its Abel transform.
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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