If the space is uniformly convex and the subsets are non-empty, closed, and convex, then the iterates of points obtained through the self-mapping converge to unique best proximity points in each of the subsets.
If the space is uniformly convex and the subsets are nonempty, closed and convex, then the iterates of points obtained through the self-mapping converge to unique best proximity points in each of the subsets.
Only 281 unique sequences (36% of total) were assigned EC numbers and had 158 unique mappings to KEGG biochemical pathways (Table 4).
We then used the RxNorm identifiers to derive additional mappings to UMLS (Unified Medical Language System) Concept Unique Identifiers (CUIs), SNOMED (Systematized Nomenclature of Medicine) Clinical Terms (CT) concepts, MeSH codes, and DrugBank identifiers.
For the large Matsui2008 and Okamoto2010 data sets, the number of unique siRNA mappings to the cis-NATs that are trans-acting, is a small fraction of the total.
Both mappers show a trend of increasing average entropy when going from unmapped to ambiguous to unique mappings.
After the alignment quality assessment, 16.74% of all aligned reads for male and 14.01% of the reads for female were chosen as unique and high quality mappings to the nuclear genome.
In 2009, the sorghum draft genome sequence and annotations revealed ~34,500 genes [ 43]; upon reexamination of cDNA sequences on the sorghum microarray, we determined that only ~25% of the reported sorghum genes (8,797 EST-to-unique gene mappings) were spotted on the cDNA array.
Raw reads were again aligned to the set of 3310 transcripts with a mapping quality filter of q = 55 to ensure mappings were unique.
In other words, all concept to attribute mappings are unique.
