Sentence examples for by the approximate solution from inspiring English sources

Here, the problem is solved by the approximate solution so that the residual stays close to zero throughout the domain 0 < η < 1.

Let denote the result achieved by the approximate solution, while and denote the corresponding results of the optimal solutions for the integer and continuous knapsack problems, respectively.

As indicated by the numerical simulations and by the approximate solution, cascades operating under zero-order ultrasensitivity can both speed up a signal (at early times) and slow it down (at later times).

This implies that our active-set method converges to the global minima as the interior-point method, while performance may be deteriorated by the approximate solution obtained by the proximal method in practice.

However, it is not possible to guarantee the optimal solution and instead we replace it by the approximate solution provided in Equation (5): (5) T ≈ ER A, ω As the new case can be sufficiently represented by the training samples from the same class, we obtain the prediction by ω.

The error bound of the approximate solution by using Chebyshev wavelets series is given by the following theorem.

Consequently, there is no other way than to obtain the approximate solution by performing numerical computation.

In the finite element method, it is possible to improve or refine the approximate solution by spending more computational effort.

The possibility of improving the accuracy of the approximate solution by using more computational effort is also indicated through a simple example.

Now we calculate the approximate solution by the Euler method.

For given(x_{n}in H_{1}), find the approximate solution by the following iterative process.