Sentence examples for a delicate analysis from inspiring English sources

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

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.

The M-det result (Theorem 11 below) is an easy consequence of Theorem 2, while the hard part is the M-indet result (Theorem 12) whose proof needs a 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.

It follows, therefore, that each next step in the process provides a more delicate analysis than the previous one(s): the information ever increasing in delicacy refers back to the ultimate descriptum, i.e., the point of origin.

If a representative analysis is to be maintained within the SFL framework, it appears that a more delicate analysis of the experiential meta-function is required, in order to provide the individual with all the relevant tools to conduct a fully representative analysis.

I have shown that the options of m-system S combine systematically with those in the m-system C, which implies that system S has been derived in response to a more delicate analysis of the choice path 'graphic; mediated: congruent'.

All in all, several issues are raised here in order to highlight particular areas that need to be addressed if we are to ensure a systematic and delicate analysis of Transitivity patterns across texts.

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