Sentence examples for richness of structure from inspiring English sources

The importance of applications of nonexpansive mappings in modular function spaces lies in the richness of structure of modular function spaces, that is, besides being Banach spaces (or F-spaces in a more general setting --are equipped with modular equivalentsetting --aremetric notionsetting --arerequippeded with almodularequivalentsnvergence and cofvergenormin submeasure.

The importance of applications of nonexpansive mappings in modular function spaces lies in the richness of structure of modular function spaces that besides being Banach spaces (or F-spaces in a more general settings) are equipped with modular equivalents of norm or metric notions, and also are equipped with almost everywhere convergence and convergence in submeasure.

The importance for applications of nonexpansive mappings in modular function spaces consists in the richness of structure of modular function spaces, that-besides being Banach spaces (or F-spaces in a more general settings -are equipped with modular equivalentsettings -aremequippedtions, and also are equipped with almodularequivalentsnvergence and cofvergenormin submeasure.

In spite of the richness of structured information presented in a CIF, there remains scope for ambiguity and error, and we would wish to see progressively more semantic markup, along with the development of user-friendly tools so that authors come to regard this as a normal part of the publication process.

We believe that writher offers a key advance toward building a practical structure comparison tool for the richness of structures available.

The richness of the structure tensor model has been expounded in [7].

The importance for applications of mappings defined within modular function spaces consists in the richness of the structure of modular function spaces, which, besides being Banach spaces, are equipped with modular equivalents of norm or metric notions and also are equipped with almost everywhere convergence and convergence in sub-measure.

As he gradually found his voice, Delius replaced the methods developed during his creative infancy with a more mature style in which Payne discerns "an increasing richness of chord structure, bearing with it its own subtle means of contrast and development".

The final aim of learner vertical integration articulated in 2006 was to enhance the richness of knowledge structures created by learners, by providing opportunities for reiteration and refinement of knowledge in the light of new experience [ 1].

By considering a relaxed problem, we provide an upper bound on revenue extraction that explicitly builds on the richness of the information structure.

In our application, we used σ = 0.95 to emphasise the full richness of the correlation structure.