Sentence examples for instead of the function from inspiring English sources

Let us consider instead of the function (2.18).

(ii) We will consider instead of the function (2.20)  .

We will consider instead of the function (2.20).

(i) Let us consider instead of the function (2.18)  .

Another possibility, which is proposed by Chen and Hsiao in [6, 7] is that they recommended to expand the highest derivative appearing in the differential equation into the Haar series, instead of the function itself.

Furthermore, with int cheb_func_trafo[i] one can expand the logarithm of a function  [26] instead of the function itself by changing its default value 0, set in init_A_xA, to 1. i denotes here the dressing function.

In this paper, the Programmable Logic method was developed for an adaptive overcurrent protection system, using the programmable logic and math operators instead of the functions resident in the relay.

If for some (k_{0} :lambda_{k_{ 0 } =0), then instead of the functions (e^{ilambda_{k_{0} } x} ) and (e^{-ilambda _{k_{0} } x} ) the functions 1 and x should be taken.

We may choose the absolute function instead of the square function but the absolute function is not continuous at changing point, which complicates the optimization process.

For practical purpose, instead of the dirac function, a Gaussian function ℘(r) approximation is used.

Instead of the parabolic function, a rational function is used for the reconstruction.