Sentence examples for mappings we find from inspiring English sources

For the class of asymptotically quasi-ϕ-nonexpansive mappings, we find from Theorem 3.1 the following.

By studying synonymous nucleotide composition, oligomer frequency and orthology between predicted genes in metagenomics data from two environments, terrestrial and aquatic, and by correlating with phylogenetic mappings, we find that both environments are likely to contain trace amounts of microbes which have been far removed from their original habitat.

It can be seen that for all mappings we find a separation of the cells at the 16-cell stage into two sub-clusters; depending on the choice of γ, this separation occurs at different degrees in the embedding.

During the process of fine-mapping, we found that the published order of BAC contigs (http://www.maizesequence.org) for the Scmv1 region is incorrect.

Now, we find two mappings, S 1 = S 2 = S and T 1 = T 2 = T, satisfying the condition (b) in Lemma 3.2 as follows.

Since the class of asymptotically strict quasi-ϕ-pseudocontractions includes the class asymptotically quasi-ϕ-nonexpansive mappings as a special case, we find the following subresults from Theorem 2.1.

In a similar way we find that the mappings ((X,x rightarrow nabla_{X}Phi X,x N)) and (Nrightarrow nabla_{X}Phi X,x N)) are continuous.

Then we find all possible mappings of an anchor in the genome through the cache-oblivious short read mapper, mrsFAST (Hach et al., 2010), eliminating the anchors that have more mappings than a user-specified threshold.

At the UMLS concept to Ontology URI stage, we found the mappings to be accurate with only four rejected cross-references.

We found some atom mappings to be incorrect.

We consider the fuzzy general nonlinear set-valued mixed quasi-variational inclusions with ( A, η ) -accretive mappings (FGNSVMQVI): Find x ∈ X and b k ∈ X ( k ∈ C ) such that S ˆ k x ( b k ) ≥ a k ( x ) and 0 ∈ F ( b 1, f ( b 2 ) ) + G ( b 3, b 4 ) + g ( x ), (3.1).