Sentence examples for using the exponential integral from inspiring English sources

However, note that the evaluation of this expression requires the explicit evaluation of a double integral, which is avoided in (21) by using the exponential integral.

An analytical solution of a latent heat storage unit (LHSU) consisting of a shell-and tube was obtained by using the Exponential Integral Function and the variables separation technique.

The solution is expressed using the tabulated exponential integral function.

By using Chebyshev approximation of the exponential integral [28], the MGF of the SINR can be represented as M γ ( s ) = ∑ j = 1 n b j − 1 a j − 1 − s γ ¯ − a 0, (20,.

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

Three problems from ultrafiltration process design and analysis, typically solved using numerical methods, are solved analytically with the aid of the Exponential Integral special function.

Also the closed-form representation for the capacity can be obtained, with the exponential integral function of first order, i.e., G 1 ( x ) = − Ei ( − x ), being resolved by using some specific method (e.g., numerical analysis using MATLAB).

denotes the exponential integral function.

where p u) is the exponential integral.

where is the exponential integral function [32].

with Ei denoting the exponential integral function.