Sentence examples for integral in obtaining from inspiring English sources

We use the following asymptotic expansion of the exponential integral in obtaining the limiting form as SNR→∞, {left.

It is important to note that there is no vertical datum in the world today that is based on a rigorous orthometric height system due to difficulty in obtaining integral-mean value of gravity along the plumbline between the geoid and the Earth surface.

In obtaining the boundary integral equations, a simplification is employed only for the viscosity coefficients, i.e. β μ  = β λ.

What makes doing the specific integrals in this book of value aren't the specific answers we'll obtain, but rather the methods we'll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future.

The coefficients of the singular integral equation obtained in this way fail in general to be continuous for they are intimately connected with the derivative of boundary values of the conformal mapping.

Setting in the above integral, we obtain Setting in (2.4), we find that.

The adjustment is carried out by making use of experimental data for 19 integral parameters obtained in 7 different fast spectrum systems.

The delay integral inequality obtained in Section 3 can be widely applied to study the attracting set of the nonlinear functional differential equations.

Motivated by the above works, in order to provide a tighter bound for (sum_{j=r_{1}}^{r_{2}-1}eta^{T}(j Reta(j)) or (sum_{i=-h+1}^{0}y^{T}(i Ry(i)), this paper is aimed at establishing some novel summation inequalities as the discrete-time versions of the integral inequalities obtained in [27].

For first integral in (2.57), we obtain the estimate (2.58).

If, by estimating the integral in (A.10), we obtain.