Sentence examples for modes by solving from inspiring English sources

Frequencies are obtained for the first three modes by solving numerically the transcendental equation.

The optimal wind power prices were then determined in three different modes by solving the mathematical model with MATLAB.

Then, to derive such a novel function, we determined the response of the conduction electrons on an electromagnetic mode by solving the Boltzmann transport equation written in the relaxation-time approximation.

We have developed analytical expressions for the radial and axial velocities and pressure profiles in the hollow-fiber bioreactor, operated in either the closed-shell (recycle) or open-shell (ultrafiltration) mode, by solving the coupled momentum and continuity equations in the fiber lumen, matrix, and surrounding shell.

It is based on the assumed mode method, where natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion.

The amplitudes of the incident modes are imposed, whereas those of the scattered modes are determined by solving the global system of the 3D hybrid FE-SAFE model.

The natural modes are computed by solving the corresponding Eigen value problem.

The wave propagation modes are obtained by solving an eigenvalue problem.

First, the decay rates under different attack modes are obtained by solving a class of linear matrix inequalities.

These equations involve first-order derivatives and, consequently, the modes are determined by solving a non-conservative differential system.

Then, the natural frequencies and vibration modes are revealed by solving dynamic equations of system with the purpose of providing guidance for system design.