Sentence examples for a given function of from inspiring English sources

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).

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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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