Sentence examples for derived with help from inspiring English sources

The total detection volumes are between 1 and 2 nL and derived with help of a theoretic model based on 3D finite element simulation.

Next, the explicit algebraic expressions for the dynamic stiffness elements are derived with the help of symbolic computation.

The existence, stability and convergence of the proposed numerical schemes are rigorously derived with the help of functional analysis.

The governing equation and boundary conditions are derived with the help of strain gradient elasticity theory and Hamilton principle.

By constructing Lyapunov Krasovski functional, some delay dependent criteria that assures the synchronization of CDN are derived with the help of the general integral inequalities.

The governing equation and boundary conditions are derived with the help of the Hamilton principle and solved numerically by employing the Galerkin method and Newton downhill method.

In this paper the shape gradient of the least-squares objective functional is derived with the help of the shape sensitivity analysis and adjoint problem method.

The closed-form SER expressions for three thresholds derived with the help of generalized Gauss Laguerre quadrature rule are verified by the Monte Carlo simulations.

Employed a new model for tubes which takes into account of the shear deformation effects, the motion equations are derived with the help of Hamilton variational principle and determined by the two-step perturbation technique.

Here, additional parameters are derived with the help of the air flow analysis in the Sudety mountains (south-west region of Poland), and special Slant Wet Delay (SWD) trimming procedure.

ERDA hydrogen profiling performed on partially hydrated samples at 200 and 500 °C reveals concentration gradients from which diffusion coefficients have been derived with the help of a simple Fickian diffusion model.