Sentence examples for mappings but the from inspiring English sources

Remark Commutative mappings must be weak commutative mappings, but the converse is not true.

It is easy to see that the class of asymptotic pointwise contraction type mappings contains the class of an asymptotic pointwise contraction mappings, but the converse is not true [11].

In system 2, the four class labels given to the structured subset are deterministic mappings but the labels assigned to unstructured subsets are derived from the four class CRF tagger, which introduces some errors.

Second and more importantly, we need to look not just at the construction of analogy mappings but at the ways in which individual analogical arguments are subsequently debated in fields such as mathematics, physics, philosophy and the law.

We need to apply the definitions above to construct IT2 membership functions for our mappings, but first the add labels to ranges in order to work with qualified rather than quantified ranges.

SemLinker uses a two-step mapping approach that not only does the explicit mappings, but also performs the 'extra step' automatically.

Not only from its being an important generalization of nonexpansive mappings, but also from the firm connection with the important class of nonlinear monotone mappings stems the interest in the class of pseudocontractions.

The results presented in the article not only generalize the corresponding results of [4 21] from single-valued mappings to multi-valued mappings, but also improve and extend the main results of Homaeipour and Razani [3].

The results presented in the article not only generalize some recent results from single-valued mappings to multi-valued mappings, but also improve and extend the main results of Homaeipour and Razani.

Clearly, the generalized Φ-hemicontractive mappings not only include strongly hemicontractive and ϕ-strongly hemicontractive mappings, but also strongly pseudocontractive, ϕ-strongly pseudocontractive and Φ-pseudocontractive mappings.

In general, commuting mappings are weakly commuting and weakly commuting mappings are compatible, but the converse is not necessarily true; some examples can be found in [18, 20 22].