Sentence examples for mapping is due from inspiring English sources

The first result regarding the existence of sunny nonexpansive retractions on the fixed point set of a nonexpansive mapping is due to Bruck [18].

A similar definition of mapping is due to the work Chatterjea [3] (that is called Chatterjea mapping), if there exists such that (1.9).

Another interesting result on fixed points for contractive-type mapping is due to Edelstein (1962) who actually obtained slightly more general versions.

This apparent difference between fraction of the viral genome covered by the de novo assembly and the reference mapping is due to insufficient breadth of coverage for the reads to overlap and be used in de novo assembly.

The speedup beyond 24× for high-sensitivity mapping is due to implementation differences between RMAP and CloudBurst, and the additional compute resources available in the parallel environment (cache, disk IO, RAM, etc).

Furthermore, the Ppa-obi-1 rescue transgene significantly shortened the body length of Ppa-obi-1 tu404 Ppa-obi-1 tu404 Ppa-obi-1 tu404he ZTDO chemosensory adultse long body length phenotype used for subsequent positional mapping were due to the same mutation in Ppa-obi-1(tu404).

A pilot scheme involving the first five of these so-called "critical districts" (see map) is due to be set up soon.In this section United against the wrong enemy The next surge New face, old anger Ever cuddlier Joy of the outback Correction: Eid in Pakistan ReprintsTribal powerbrokers in these areas will be invited to agree to a "contract".

The following fixed point theorem for contraction multivalued maps is due to Covitz and Nadler [35].

Note that the right vertical map is an isomorphism by [18, prop. 3.4] and that surjectivity on the right horizontal maps is due to the fact H e ´ t 1 ( R n, E ) = H 1 ( F n, E ) = 1.

Remark 2.23 Corollary 2.22 for p = 1 and lower semicontinuous set-valued maps goes back toKim [35] and Park [36], and also this result for p = 1 and upper semicontinuous set-valued maps is due toHuang and Jeng [37].

Also note that low SI on the ADC (b) map is due to inherently low T2 SI rather than restricted diffusion; there is a lack of increased SI on trace b1000 mm²/s EPI (d).