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In the first level, each shadow region is addressed separately, and building regions are identified via iterative graph cuts designed in two-label partitioning.

A labeled partition can be represented using an ADD where each leaf represents an unique label v i.

To compute the refinement of q labeled partitions represented as ADDs, we need to get the product of ADDs representing these partitions.

For instance, (mathcal {P} = {(X_{1}, 2), (neg X_{1}, 3)}) is a labeled partition with two blocks: a block of states, labeled with 2, where X 1 is satisfied and a block of states, labeled with 3, where ¬X 1 is satisfied.

For instance, Fig. 5 shows an ADD that represents the following labeled partition: begin{aligned} mathcal{P} =& left{(X_{1} wedge X_{2}, 2), (X_{1} wedge neg X_{2}, 3) vee (neg X_{1} wedge neg X_{2}, 3),right.& left. neg X_{1} wedge X_{2}, 5 right} end{aligned} Fig. 5 A partition represented as an ADD and its DNF expression.

Click on the tab labeled "Partition" in Disk Utility.

Take the union of the set of systems of identities of isotopic labeling states; Partition the resulting set by the number of isotopic atoms per identity; Represent each partition as an adjacency matrix; Optimize the adjacency matrices using any valid graph-theoretic method (optional, but highly recommended); Formulate the flux balance equation for each adjacency matrix.

Instead of labeling individual vertices we label subgraphs which partition the given graph.

Using 14CO2 pulse labelling, we followed partitioning of currently assimilated C between shoots, roots and rhizosphere-derived organic matter (RDOM).

To analyse the downstream fate of the initial labelling products, 13C partitioning into the glucose, glucose-6-phosphate (G6P) and sucrose pools was monitored.

The downloaded files were screened, and chromosome ID, position and orientation of the exons on the chromosome, feature ID, AS type, transcript accession number, and group label were traced, partitioned and analyzed.

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