Internal edges

For computational purposes it is useful to distinguish the directed edges associated with the external inputs and outputs, which are usually specified, from those associated with the flows internal to the network. Denoting the net output from vertex i by and including henceforth only the internal edges in the incidence matrix M, we may restate Eq. (7) as... 

From the Co EXAFS results alone one cannot conclude whether the Co atoms are located at edges or basal planes but a comparison of the Co EXAFS data with the above Mo EXAFS results indicates that the edge position is the most likely one. This Co location is illustrated in Figure T For the unsupported catalysts, many of these "surface" positions may be present at internal edges (i.e., at the "domain" boundaries). Recently, direct evidence confirming the edge position has been obtained by combining MES results (to ensure that Co is present as Co-Mo-S in the samples studied) with ir spectroscopy (lU) or with analytical electron microscopy (l ) ... 

Fig. 19.1 Creation of three internal edge sites, or a (mono)vacancy, by removal of one basal-plane carbon atom in graphene.

Fig. 19.7 Illustration of the fate of an internal edge (vacancy) (a) schematic representation of graphene cluster C65H20 (b) optimized geometry of C65H20 singlet when C38-C39 bond is formed (c) optimized geometry of C65H20 singlet when C25-C38 bond is formed.

Any internal edge of a polycycle P belongs to exactly two r-gons, while any boundary edge belongs to only one r-gon. Therefore, the following equality holds ... 

Clearly, after step 5 all internal edges are marked on exactly one side (the river R crosses each... 

After the second run we find an internal edge e marked on both sides, say the left side marked (r(e), E(e)) in the first run and the right side marked (r (c), E (e)) in the second run then... 

Fig. 1. Examples of benzenoids with various Dias parameters (ds) heavy lines indicate internal edges...

During replication and transcription of DNA, the strands of the double helix must separate to allow the Internal edges of the bases to pair with the bases of the nucleotides to be polymerized Into new polynucleotide chains. In later sections, we describe the cellular mechanisms that separate and subsequently reassociate DNA strands during replication and transcription. Here we discuss factors Influencing the in vitro separation and reassoclatlon of DNA strands. 

Here, 16 CRTs are stacked to produce a large display picture. Many TV stations use such displays and they are used in outdoor displays as well. The flat-faceplates fit together seamlessly and no internal edges within the picture can be seen by the viewer. 

Length of ith pipe section (95) Reduced incidence matrix. M refers lo a digraph (7), Wl refers to an undirected graph (12), and M refers to a digraph containing only internal edges (34)... 

Specified pressure at node k (47) Vector of stream flow rates (7). q refers to the subset associated with the internal edges (34)... 

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