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For example, the mapping of phosphorylation sites and analyses of phosphorylation site mutants have tremendously contributed to our knowledge of different cellular processes.
Table 3 presents, as an example, the mapping between the concepts shown in Fig. 2 and the terms used in some standards/models.
For example, the mapping (f: mathbb{R}rightarrow mathbb{R}), defined by (fx=frac{1}{2}-x) has the unique fixed point (frac{1}{4}), but every (xinmathbb{R}) is a fixed point of (f^{2}).
In this example, the mapping is a cyclic R-contraction that is neither a Meir-Keeler cyclic contraction nor a simulative cyclic contraction and hence neither a Boyd-Wong nor a Geraghty cyclic contraction.
Concrete examples of mappings f, g : R + → E are presented for above results when E is the space c 0 of those sequences of real numbers which converge to 0. In every example, the mapping g has the discontinuity of second kind at every rational point of R +.
As an example, the mapping of small RNAs to exons, introns and exon-exon junctions are shown for EHI_135940 and EHI_197360 genes (Additional file 1: Figure S9).
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In Europe, for example, the map butterfly has expanded its range at both its northern and its southern edge.
For example, the map shows the Arabic error of considering the Malaysian peninsula to be a vast elongation of southern China, but separated from Africa, as seen in al-Umari's map.
In the central Atlantic, for example, the maps show a huge slug of subsurface seawater with lead levels higher than those in surface or deeper waters.
In order for a car with HERE's GPS technology to be shipped to China, for example, the maps need to comply with Chinese regulations.
As an example, the map for E. coli K12 contains 1365 genes, 1813 enzymes, and 1572 metabolites (Figure 1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com