Sentence examples for apply the differential from inspiring English sources

We differentiate (74) with respect to u k l (keeping ω fixed), i.e., we apply the differential operator L 0 = ( ∂ / ∂ u k l ) + ( ∂ u k + 1 l / ∂ u k l ) ( ∂ / ∂ u k + 1 l ).

Here we apply the differential eigengene network analysis to liver expression data from female and male mice of the above-mentioned F2 mouse intercross.

Improve the candidate solution by exchanging populations in the solution for ones outside the solution space, if this substitution reduces the error. 2 Generate the predefined number M of additional candidate solutions randomly and apply the Differential Evolution (DEEP) stochastic optimization technique to the combined set of the first and additional candidate solutions.

A methodology for applying the differential quadrature (DQ) method to the free vibration analysis of arbitrary quadrilateral plates is developed.

By applying the differential evolution (DE) algorithm and IGCMEA to perform an optimization test on the 100-dimensional Schwefel Function, we showed that IGCMEA can achieve an efficient and satisfactory result.

By applying the differential quadrature formulation and the proposed modified relationships for specified boundary conditions, the free-vibration equations of motion of the curved panel are transformed to a set of algebraic equations.

By applying the differential quadrature formulation and the required modified relationships for implementing the different boundary conditions, equations of motion of a circular cylindrical shell are transformed into a set of algebraic equations.

Applying the differential quadrature method to the state space formulations along the axial or circumferential directions of panel, new state equations about state variables at discrete points are obtained.

After the solution of the fundamental system of equations in terms of displacements and rotations, the generalized strains and stress resultants are evaluated by applying the Differential Quadrature rule to the generalized displacements.

Applying the differential inequality, we get (2.51).

3, by applying the differential inequality theory, we investigate the global stability property of the equilibria.