Sentence examples for more general analytical from inspiring English sources

We also consider more general analytical solutions which are less investigated from the numerical view point.

Here we extend this existing picture using a refined approximation, provide a more general analytical formula, and show that in principle up to N(N + 1) / 2 segments can show up experimentally.

Although others have developed specific solutions of multi-species transport equations, here a more general analytical approach, capable of describing any number of reactive species in multiple dimensions is derived.

The total time to their common ancestor is then increased and there is an additional branch fragment on which mutation can occur, thus inflating the pairwise diversity π, the number of polymorphic sites, S, and consequently θW (proportional to S; see Forsberg, Drummond and Hein [55] and Liu and Fu [56] for more general analytical results).

This may constitute a paradigm shift in developing efficient protocols for high-throughput metabolite profiling with more-general analytical applicability.

Regardless of the fact that numerical methods can solve more general problems, the analytical ones could be part of a more sophisticated simulation process, where the ray tracing time is completely relevant.

Therefore, it is difficult to generalize the findings from one study to other settings (inferential generalization) and to draw theoretical propositions, principles, or statements from the findings of a study for more general application (theoretical or analytical generalization) [ 126, 127].

For systems with a more general form, however, the analytical expression of (p({x_k}|{z_{1 k}})) is usually unavailable due to the computationally intractable integrals in (2) and (3).

Detailed results of models and rankings are not central to this paper; the intent is to identify more general issues and options, analytical and otherwise, that warrant consideration in determining appropriate methods.

These tests, as well as more general validations of the analytical framework [ 7, 42- 44], increase confidence that projections of niche dimensions across periods of environmental change will also have predictive power.

On the other hand, there are many other works on implicit differential equations [13 18] dealing with more general implicit differential systems by using analytical and topological methods.