Sentence examples for fruitful in the study of from inspiring English sources

These theories have already proved to be fruitful in the study of randomness (Kolmogorov 1965, Martin-Löf 1966), which obviously is intimately related to the notion of probability.

While this has been fruitful in the study of neuronal basis of disease and behavior, the reduced physical challenge posed by these environments has prevented these organisms from being equally successful in the study of neuromuscular diseases.

Although the GA method has proved fruitful in the study of metabolic networks [34] and in other areas [7], [35], it is far from ideal when analyzing directed networks, where a node might have a prominent role because of its out-degree but a modest one when it comes to in-degree.

The coexistence of irregularity with strict determinism can be illustrated by an arithmetic example, one that lay behind some of the more fruitful early work in the study of chaos, particularly by the physicist Mitchell J. Feigenbaum following an inspiring exposition by Robert M. May.

Sobolev spaces of functions on time scales, which were first introduced in [15], opened a very fruitful new approach in the study of dynamic equations on time scales: the use of variational methods in the context of boundary value problems on time scales (see [16, 17]) or in second-order Hamiltonian systems [18].

The use of twistor methods in the study of Jacobi fields has proved quite fruitful, leading to a series of results.

Now the liposomes would rapidly become important structures in the study of membrane permeability and allowed a fruitful comparison to the biological membranes.

Such context dependence and flexibility is of greatest relevance in the study of cognitive processes and points the way to fruitful future research.

This approach has indeed been developed for many years in the study of genetic networks and has revealed to be quite fruitful [ 21].

In the study of the geometric properties of φ in relation to the operator theoretic properties of C φ, it has become evident that the Kœnigs function is much more fruitful to study than φ itself.

They have not, in general, been very fruitful and there has been some hesitation in applying the technique to the study of cancer.