Sentence examples for are derived by solving from inspiring English sources

The optimal control strategies are derived by solving a mixed-integer nonlinear programming problem.

Reference results for added masses are derived by solving the boundary value problem for small motions of inviscid fluid using the finite element method.

The general solutions for the extended displacement and traction vectors of a simply supported and homogeneous PQC nanoplate are derived by solving an eigenvalue problem reduced from the pseudo-Stroh formalism.

Observer parameters are derived by solving linear matrix inequalities, and simulation results using acceleration test and tip-in, tip-out test demonstrate the effectiveness of proposed shaft torque observer design.

Based on the modified couple-stress theory, three-dimensional analytical solutions of free vibration of a simply supported, multilayered and anisotropic composite nanoplate are derived by solving an eigenvalue system and using the propagator matrix method.

Analytical solutions for the radial and axial velocities and pressure distributions are derived by solving the coupled continuity and momentum equations in the extracapillary space and the arterial and venous fiber lumina and membranes.

Models were derived by solving 2-D Poisson's equation using variable separation technique.

In addition, a simple and explicit formula for optimally determined macroscopic conductivity is derived by solving a nonlinear minimization problem.

The general equation of the strain distribution in the rod is derived by solving the one-dimensional wave equation.

The kinetic energy of the fluid is derived by solving a boundary-value problem related to the fluid motion.

The observer gain is derived by solving the linear matrix inequality while simulation results are adopted to show the effectiveness of the proposed observer design.