Sentence examples for delicate analysis from inspiring English sources

In the former case the proof requires a delicate analysis of minimizing geodesics of the group and of the differentiability properties of the squared distance function.

The second approach allows to cover the full range of nonlinearities admissible to treatment by Gibbs measure, working instead with a delicate analysis of convergence properties of solutions.

In order to show the boundedness of (|rho|mathbf{u}|^{2}|_{L^{s}}), we have some delicate analysis.

These extensions, however, need a more delicate analysis and they are beyond the goals of the present paper.  .

These extensions, however, need a more delicate analysis and they are beyond the goals of the present paper.

By means of a delicate analysis, we establish the existence and uniqueness of a global solution to the HJB equation in two main steps.

By delicate stochastic analysis, the problem is converted to a standard optimal stopping one involving adapted processes.

The higher-level understanding of the baseball game for highlight detection can also be achieved by the delicate scene analysis [14].

To clarify the influence of ethnicity on these observations, a delicate genetic analysis with consideration of phenotype should be performed.

Therefore, we have to obtain more delicate estimates and analysis for the solutions.

Of course, for the elliptic problem in (mathbb{R}^{N}), one needs a more technical and delicate 'asymptotic separation' analysis.