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All node mappings that do not positively contribute to the score of the alignment are removed.
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Thus, mappings between two terms that do not share the same SGs would be filtered out.
To rapidly fine map this QTL, we exploited recent advances in mapping-by-sequencing methods that do not require separate sequence analysis of the parental genomes (Schneeberger et al. 2009).
Junction mappings are filtered to remove those reads that do not span the splice site.
Remark 15 Although Theorem 6 and Theorem 10 are an essential tool in the partially ordered metric spaces to claim the existence of coupled coincidence points of two mappings, some mappings do not have the commutative property.
Additionally, the correct definition of URIs ensures that mappings between resources do not lead to semantic inconsistencies.
In the next example, we show that there do exist pairs of mappings which do not share the property (E.A .. Example 1.5.
For terms in ICGC that followed the TCGA nomenclature system, the TCGA cancer term mappings to DO was used.
In addition, a simple heuristic approach was used to eliminate both non-informative mappings to DO (such as "Disease" or "Syndrome") and to eliminate text present in GeneRIF that was frequently mis-mapped by UMLS such as Ca++ ions being mapped to cancer terms.
Quasi-ϕ-nonexpansive mappings and asymptotically quasi-ϕ-nonexpansive mappings do not require the restriction F ( T ) = F ˜ ( T ).
Quasi-ϕ-nonexpansive mappings and asymptotically quasi-ϕ-nonexpansive mappings do not require F ( T ) = F ˜ ( T ).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com