Sentence examples for Extended solution from inspiring English sources
We show that the results in [8] are still true in hyperbolic background geometry setting, that is, the solution to Chow Luo's combinatorial Ricci flow can always be extended to a solution that exists for all time, furthermore, the extended solution converges exponentially fast if and only if there exists a metric with zero curvature.
The extended solution converges on the original domain in the appropriate function spaces as the penalty parameter approaches zero.
Our algorithms consistently outperform their counterparts proposed to date and can be considered pioneering in their optimization range of multiple metrics and processing in the extended solution space.
Both the extended solution of the critical stretch strain and the criterion of r are shown to be of satisfactory accuracy, as compared to experimental results.
Our extended solution can be divided into three steps: preprocessing, line detection, and contour drawing.
Moreover, applying the Virtual Machine (VM) migration and consolidation techniques into DVFS management is an extended solution.
As adsorption appeared to cause the principal resistance to both solvent and solute flux, parameters of an extended solution-diffusion model were fitted in such a way that they account for this physical effect.
As in the case of massless equations, the extended solutions are periodic under the generatorζof the infinite cyclic center of the conformal groupGinM.
In Section 2, we describe and further develop Zhang and Peng's modification of the Fan sub-equation method by making good use of the extended solutions of the general elliptic equation.
When the plates are close enough so that B < B cr, a new region R V IVIV appears (Figure 3) in which the (extended) solutions have negative maxima, and the net force will again be attracting.
We will refer to such extended solutions as B or C depending upon whether the curved segment passes through one or two quadrants, cf. Figure 3. Extended solutions B are symmetric around y = x line, and exist only for −1<λ<0, while extended solutions C are symmetric around x = 0 line, and exist for −1<λ<1.
