Sentence examples for by using an algebraic from inspiring English sources

An algorithm is outlined by using an algebraic formulation for the workspace boundary and numerical solution is worked out by using a Newton Raphson technique to solve a proper design problem.

The extended systems of continuity and momentum equations are solved simultaneously and their convergence is accelerated by using an algebraic multigrid solver.

For this specific case, the wave speeds remain macroscopically constant and it becomes possible to recover the exact Green functions by using an algebraic transformation method.

Moreover, Zhang et al. [16] obtained Chen-like inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature endowed with a semi-symmetric metric connection by using an algebraic approach.

For this type of material, the body wave speeds remain macroscopically constant and it becomes possible to recover exact Green functions for the crack-free inhomogeneous continuum by using an algebraic transformation method proposed in earlier work as a first step.

The advantage of this alternative formula is that the value of the Choquet integral is expressed as a linear function of the values of μ so that the optimal values of μ can be obtained by using an algebraic method.

By using a simple algebraic equation, ϕ'(n) is obtained from ϕ(n).

Accordingly, it is convenient to realize the computations of quasi-Lyapunov constants by using a computer algebraic system like Mathematica.

Accordingly, the linear complementarity problem is solved and its stochastic market equilibrium solution is determined by using a general algebraic modeling system.

In some cases, quadratic equations can be quickly and easily factored by using a special algebraic identity.

Here, by using an analytical reasoning, a nonlinear algebraic system of equations is proposed to establish the existence conditions for the synchronous state in an MC PLL network.