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This category includes the metric spaces via so called localic completions (Palmgren 2007) and gives a solution (Palmgren 2008) to the problem of combining the reciprocal map with composition (Schuster 2005).
The resulting reciprocal map is identical to the one derived from the mouse-human alignments at the cost of losing around 10% sequence coverage on both species [ 29].
In previous QTL mapping studies performed on much of these data, we were unable to determine whether QTL identified on one linkage map corresponded to QTL identified on the reciprocal map.
The extra diagonal is composed of a segment of NCK (positions 226 247), which was not included in the diagonals of the reciprocal map, and a segment of CRK which is also part of another diagonal formed with the positions 35 58 of NCK.
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Thus (r:Xrightarrow Y) is a unique reciprocal mapping satisfying (4.3).
We note that a mapping (r:Xrightarrow Y) satisfies the functional equation (1.5) if and only if there exists a reciprocal mapping (r:Xrightarrow Y) satisfying the reciprocal functional equation (1.1) [22].
According to the XRD reciprocal mapping data, the relaxation factor of the GaN insertion layer is calculated to be 63.3%, which manifests that the insertion layer is partially relaxed, and the in-plain lattice constant of the top GaN is larger than that of the AlN bulk.
The marker order was roughly the same in the reciprocal mapping populations.
Reciprocal mapping of human and bovine orthologs was also performed (Additional file 1).
The marker order was nearly identical in both reciprocal maps, and little evidence of potential genomic rearrangements was found.
Given the codominant inheritance of microsatellites, homology of individual markers can be determined, and the two maps developed from the different reciprocal mapping populations can be linked.
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