Sentence examples for mapping we observed from inspiring English sources

To show that T is a continuous mapping, we observed that if u i = T v i, v i ∈ V ( i = 1, 2 ), then the periodic function u = u 1 − u 2 satisfies the linear parabolic equations d ( t ) Δ u − δ ( t ) u − u t = p ( t ) v 2 ( t − τ ( t ) ) e − a ( t ) v 2 ( t − τ ( t ) ) − p ( t ) v 1 ( t − τ ( t ) ) e − a ( t ) v 1 ( t − τ ( t ) ) (3.10).

From the bird's eye view of raw RNA-Seq mapping, we observed some spikes, indicating large concentrations of RNA-Seq reads at those locations.

Using high-resolution N-ChIP and X-ChIP mapping, we observed strong enrichment of CENP-A and other inner kinetochore proteins throughout the central domain except at the tRNA genes, which have been shown to act as barriers to the spread of the flanking heterochromatin, dependent on binding of PolIII and the transcription factor TFIIIC (Scott et al. 2007).

Based on all 92 common SNPs detected by association mapping we observed 56 SNPs from the PtoCesA4 in the linkage population, including six novel alternative SNPs identified in the parents of this hybrid population and 50 corresponding to the positions of common SNPs detected in the association population (see Table S1).

Consistent with our results from spatial PL mapping, we observe PL enhancement and a narrowing of the QD-PL spectrum for y-polarized emission, while for x-polarized emission broadening of the QD-PL spectrum is observed.

However, while comparing the mapped IP markers in our map with the B. juncea map, we observed the overall conservation of A genome chromosomes (data not shown) between the two species, which further supports the correct alignment of our map.

From the 2004 erosion map, we observed that the spatial distribution of erosion, for the thirty-year period after planting, was mainly controlled by lithology and historical landscape structure, whatever the slope.

From the velocity maps, we observed that P0 exhibited a regular pattern of small, fast edge protrusions immediately followed by retraction (Fig. 2B), with velocities ranging from −5 µm/min to 20 µm/min.

However, the Talairach coordinates for MIPS are considerably anterior to IPS2 (Silver et al report the average center of IPS2 as lying at 19, −75, 48, some 19 mm distance from the center of MIPS) and the topographic maps we observed for MIPS in 3/8 hemispheres had the reverse orientation to those reported for IPS2.

From the genetic map, we observed that DNA marker loci are distributed unevenly on the cotton chromosomes.

On the rescaled map, we observed a trend that optical map claims longer RFs when the RFs are shorter (below 5 Kb).