Sentence examples for expand the solution from inspiring English sources

We then develop a simple construction heuristic to expand the solution of the tree design problem by adding road segments.

A theoretical work on solving nonlinear dynamic problems using a two-step approach is also reviewed in order to expand the solution tools for studying system behaviors of complex dynamical systems, which are the targets of resilience studies.

We expand the solution function in a finite series in terms of composite translated sinc functions and some unknown coefficients.

Crossover operator Crossover operator plays an important role in GA since it helps to expand the solution space and get the global optimal.

Following the homotopy perturbation method [47], we expand the solution in terms of the homotopy parameter κ as u=u_{0}+kappa u_{1}+kappa ^{2}u_{2}+kappa ^{3}u_{3}+cdots.

This means that we can expand the solution as ψ ( x ) = ∑ i = 1 2 ∑ m = 0 ∞ A m, i g i mπx L, Open image in new window (4).

We first expand the solutions in terms of the two-dimensional Fourier series in the horizontal plane to reduce the governing equations to a system of ordinary differential equations, from which we drive analytically the general solution in each layer.

Future work should expand the solutions to higher degree to obtain improved resolution or should assess the utility of local solutions over bounded regions to fully extract the signal inherent in the KBRR tracking data.

This method uses an accelerated gradient descent solver and expands the solution to the wave equation as a series of the gradient solver updates.

Jeanne Medina, a spokeswoman for United, said that her airline had already cut 7.5percentt and that until O'Hare could be expanded, the solution was for others to cut their schedules, too.

We consider elliptic stochastic partial differential equations (SPDEs) with random coefficients and solve them by expanding the solution using generalized polynomial chaos (gPC).