Sentence examples for mappings are provided from inspiring English sources
Additional atom environment mappings are provided by hand curation.
Link mappings are provided with skos: exactMatch predicates, while the ChemSpider identifiers are also available via a CHEMINF representation: The InChI is a unique identifier for (small) organic molecules, and has been previously used to define unique URIs for molecules [8, 25].
The most detailed seamount mappings are provided by multibeam echosounding (sonar), however after more than 5000 publicly held cruises, the amount of the sea floor that has been mapped remains minuscule.
Finally, summaries of mappings are provided as extendable tree-views, which organize mappings by identified EC numbers.
Essentially a new approach for finding the fixed points of nonexpansive mappings and solutions of variational inequalities for monotone mappings is provided.
The first relevant work for existence of fixed points for nonexpansive set-valued mappings was provided by Markin [1] in 1968.
Thus, T is not an ordered convex contraction of order 2 which has been used in Theorem 2.5 of [3], while by putting α ( x, y ) = 1 4 whenever x ≤ y and α ( x, y ) = 0 otherwise and a 1 = a 2 = b 1 = b 2 = 1 8, it is easy to check that the selfmap T is a generalized convex contraction of order 2. Recently, the notion of weakly Zamfirescu mappings was provided in [19] (see also Zamfirescu [20]).
Plots summarizing GO terms and the number of gene products assigned to each term are shown in Figure 3, and a file containing the GO term mappings is provided as Additional file 3. Similar to Arabidopsis [ 36] and other plants, a large number of genes were annotated with terms related to transcription factors.
In our model, the I/O mappings to be learned are provided sequentially, and the learning process where each mapping is provided only once is mainly analyzed.
Sufficient conditions for the existence of a fixed point for such class of generalized nonlinear contractive mappings in metric spaces are provided.
Domains and their mappings are also administered hierarchically; the mappings of each domain foo.bar are provided by a name server, managed by the owner of the domain.
