Sentence examples for given function of from inspiring English sources

Pressure errors are prevented by solving an additional transport equation for a given function of the ratio of specific heats.

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.

The magnetic reconnection process is initiated by variation of a local resistivity assumed to be a given function of time and spatial coordinates.

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).

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.

The governing equations for designing non-geodesics on a toroid are formulated using the given functions of slippage coefficients.

In this approach, locally optimal design points and weights are studied as implicitly given functions of the nonlinear parameters included in the model.

Both p and e are given functions of ρ and s, satisfying the thermodynamical constraint T, mathrm{d} s =mathrm{d} e + p, mathrm{d} frac{1}{rho}, (1.2) where (T=T(rho, s)) is the temperature.

We consider the boundary value problem Delta u=0 quadtext{on } Pi,quadquad u=varphi_{j}(s) quadtext{on } gamma _{j}, j=1,2,3,4, (1) where (Deltaequivpartial^{2}/partial x^{2}+partial^{2}/partial y^{2}), (varphi_{j}) are given functions of s.

Owing to this locality, the pressure and the flow rate are considered as given functions of time, since they are nonlocally controlled by the surrounding vascular system.