Sentence examples for attaining the solution from inspiring English sources

We are of the view that nonlinear Feynmac-Kac formula can be of great help in attaining the solution for the nonlinear PDE [23].

By performing this study, guidelines are provided on the possibility to use a CZM shape that may not be the most suited for a particular adhesive, but that may be more straightforward to use/implement and have less convergence problems (e.g. triangular shaped CZM), thus attaining the solution faster.

In this game theoretical setup, all items are discrete, and the discreteness of the payoffs increases the complexity of attaining the solution.

In order to attain the solution of (2.1) with initial value (2.2), we propose the following assumptions: (H1).

We can attain the solution (varpi^{k}(r,theta)) from the natural integral equation (28) and then obtain the solution of the original boundary value, i.e., Problem I, by the Poisson integral formula (27).

Firstly, we proceed with a q-analog of the Borel-Laplace summation method of a lower type κ and attain the solution by means of an acceleration-like action.

The sensitivities with respect to the parameters are also obtained by means of the dual variables, so that the method not only attains the solution parameters of the problem, but also shows how sensitive they are with respect to the reliability indices.

end{aligned} Considering (lambda(t)=exp -int^{t}_{a}int_{Omega}partial _{2n+4}L[u,z]^{mu,gamma}_{n,eta}(tau,x),d^{n}x,dtau)), we attain the solution for the differential equation: begin{aligned} theta(T)lambda(T)-theta(a)=exp -int^{t}B(t)lambda(t),dt.

Equipped with both methods, the algorithm attains the best solution.

Simulation results show that HdABC attains the best solution amongst the four algorithms in repeated trials.

In designing, the criterion to attain the optimum solution at the end of GA run is minimum band gap and maximum delocalization in the polypeptide chain.