Sentence examples for implementation in solving from inspiring English sources

We justify our design decisions and demonstrate significant speed-up by our parallel implementation in solving the centroidal Voronoi tessellation (CVT) problem as well as some typical computing problems.

The contents focus on several aspects of automated reasoning, a field whose objective is the design and implementation of a computer program that serves as an assistant in solving problems and in answering questions that require reasoning.

Feynman delighted in solving problems.

Since NC′ can be solved in the running time of a minimum s, t-cut problem (Hochbaum, 2010b), our FABS-NC′ implementation is efficient, solving in polynomial time.

We use stylized economic models to represent the implementation in practice and solving our models we obtain closed form and numerical solutions that help us to see the impact of various parameters on the optimal decisions of a producer.

Based on the analysis above, a parallel implementation of solving the tridiagonal linear equations is shown in Algorithm 1.

For the parallel implementation of solving tridiagonal linear equations, there are totally three communications shown in Figure 1.

Thus, we formulate the solution for c as a non-negative lasso (Efron et al., 2004; Renard et al., 2008) problem: c ^ = argmin c | | A c − r | | 2 s. t. c ^ i ≥ 0 ∀ i and ∑ i | c ^ i | ≤ 1 In our implementation, we solve this problem with the COBYLA method implemented in SciPy (Oliphant, 2007).

The implementation in SAS is solved as a macro (see Additional file 1).

Only a single level of iterations is involved in the implementation, which solves both the implicit relations arising from upstream centered differences for all wave families and the nonlinearity of the Euler equations.

Furthermore, numerical implementation is solved by the additive operator splitting (AOS) scheme, resulting in fast convergence rate.