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Since weakly triangulated graphs are perfect, we obtain the following duality relationship: the minimum number of star polygons needed to cover an orthogonal polygon P without holes is equal to the maximum number of points of P, no two of which can be contained together in a covering star polygon.
When this same hide-and-seek strategy was found for four additional hydrolytic enzymes, all with an acidic pH optimum and the same sedimentation characteristics as acid phosphatase, de Duve concluded that these enzymes must be contained together in particles surrounded by a membrane 'to prevent the enzymes getting out and the substrate getting in'.
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Nevertheless, meaningful subsets of proteins were identified which are contained together in some but not all of the overlapping complexes.
Since they do not appear to physically interact, this is probably a consequence of the fact that they are contained together in three different complexes.
It is also noteworthy that the selected SNPs and the PITX2 gene are contained together in a single topologically associated domain (TAD; Additional file 1A), as defined by Hi-C in three different human cell lines [ 27].
The transdifferentiation theory explains why these two different cell types are contained together in the same organ: in special cases (such as chronic cold exposure) the white part of the organ might 'help' the brown part by forming new BAT (Cinti, 2009a).
TEM imaging of the leachates indicated that the majority of the particulate Si was contained in composites together with Ca, representing the paint matrix, and only few single dispersed SiO2-NPs were detected.
Thirdly, immunoprecipitations with dMAN1-specific antibodies revealed that this Drosophila LEM-domain protein is contained in protein complexes together with lamins Dm0 and C. It has been previously shown that human MAN1 binds to A- and B-type lamins in vitro.
The isolates YK41, AR39, GiD and J138 are contained in another cluster together with CM1, which is located in a sister branch within this cluster.
A large subset of the genes involved in mitochondrial protein synthesis (191 of 869 genes) is contained in Regulon 3, together with genes for protein synthesis in other cell components.
While multiple instances of the same concept are contained in our corpus together with their in-text locations, the CTD stores only a per-document list of unique concepts without any location information.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com