Sentence examples for equations can be approximated from inspiring English sources

(17) Similarly, all 2D steady-state equations can be approximated by the corresponding 1D time-dependent equations.

We observe that solutions of a large class of highly oscillatory second order linear ordinary differential equations can be approximated using nonoscillatory phase functions.

In the case where running and waiting distributions do not have finite moments, we expect there to be a large time asymptotic regime where our VJ equations can be approximated via a fractional diffusion equation.

Then, the previous equation can be approximated by (13).

The Cauchy equation can be approximated by a constant refractive index value for longer wavelengths.

The above equation can be approximated by Gauss-Hermite quadrature: (8).

The equation can be approximated at high opacity (k0R) ≫ 1 as T ( R ) ≅ 1 π k 0 R (35).

However, we assume that N is sufficiently large so that the master equation can be approximated by the corresponding Langevin equation.

If and in (5a) and (13) are evaluated at some arbitrary time, then the range equation can be approximated by the Taylor series expansion: (15).

With this capability, the solution of Hammerstein Volterra delay integral equation can be approximated by the appropriate NNM within an arbitrary accuracy.

To develop a corresponding approximate solution for (21) we adopt the same method as above and assume that the differential equation can be approximated with the fixed values of A x) and A' (x) at x = 1.