Sentence examples for is obtained by utilizing from inspiring English sources

The closed-form solution of dynamic frequency and electrostatic voltage is obtained by utilizing the homotopy perturbation method (HPM).

By solving the RCB, the positioning information in three dimensions is obtained by utilizing a linear equation.

The dynamic structural response is obtained by utilizing an appropriate modal technique referring to the response spectrum defined by the Italian code.

A formal integral expression for the radiated pressure field in the frequency domain is obtained by utilizing the spatial Fourier transform along the shell axis and Fourier series expansion in the circumferential direction.

For instance, in [22] the solution of fractional differential equations is obtained by utilizing that condition.

The cooperative diversity which is obtained by utilizing relays between source and destination has been actively studied since Cover and El Gamal's [6] work.

The analytical conditions for synchronization of the systems are obtained by utilizing Laplace transform.

Experimental data in the form of rate of oxygen uptake were obtained by utilizing a stirred cell.

For practicability, the channel temporal and spatial correlations are considered and the channel estimate and its error covariance are obtained by utilizing the outdated channel state information.

All freezing rates studied were obtained by utilizing a custom-made apparatus and were then indirectly related to conventional vial freeze-drying.

We found that the density, hardness, and secondary dendrite arm spacing responses could be obtained by utilizing the nonlinear regression equations and the same set of process variables.