Sentence examples for by using the integral from inspiring English sources

The problem is formulated by using the integral equation approach.

A backstepping stable controller is designed by using the Integral Barrier Lyapunov Functionals (iBLF).

It is designed to calculate train state as accurate as possible by using the integral formula of dynamic equation.

The problem is solved by using the integral transform, singular integral equation methods and the theory of residues.

The entrainment rate was evaluated by using the integral method applied to the measured SPIV velocity maps.

The integro-differential equations governing the stability of simply supported plates are solved by using the integral transform technique.

The purpose of this paper is to establish some improvements of Minkowski's inequality by using the delta integral, the nabla integral and the diamond-α integral on time scales.

The problem is reduced to a pair of coupled Cauchy singular integral equations by using the Fourier integral transform technique and then is numerically solved to determine the contact pressure, surface electric charge distribution, normal stress and electric displacement fields.

Some interesting Hermite-Hadamard type integral inequalities involving Hadamard fractional integrals are also presented by using the established integral identities.

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.

In fact, some of them follow by using the right integral for special W functions, which are sometimes simpler than if they are based on the left integral.