Branch origin

The following example may serve as a commentary to this definition If B contains exactly p vertices then all the branches originating in P comprise together at least p vertices but exactly p -I nodes. See Fig. 2 (a), (6), the branches originating in M. 

Let 5 be a centric tree, whose center Af is a vertex of degree k, and 02 branches originating in M. Each of the branches carries the number the edge is assigned to in the corona of M. We consider the configuration... 

Similar arguments as in Sec. 39 lead to the following result Two centric trees are congruent if and only if the same number of branches originates from their centers and the configurations of these branches are equivalent with respect to the group associated with the corona of the center. 

We consider free centric C-H trees with n vertices of degree 4, that is, with a total of 3 + 2 points [Sec. 36(a)]. Some branch with V vertices of degree 4 has a total of 3v + 1 nodes [Sec. 36(a)]. Thus, we have for a branch originating in the center... 

In other words, the number of vertices of degree 4 in a branch from the center is at most m [cf. (2.49)]. The center is of degree 4, hence the number of vertices of degree 4 of all the branches originating in the center is equal to 1. 

One of the most promising hi-tech directions is bio-electronics, a branch originating from the two apparently different fields of electronics and biochemistry. 

Reaction wood in softwoods is normally concentrated on the underside or lower side of the affected tree or branch. Because the wood in such regions appears to be subjected to compressional forces, this wood is given the nontechnical designation of compression wood (Figure 30). In hardwoods the location and concentration of reaction wood tissue is normally opposite that in softwoods, i.e., on the upper side of branches and leaning stems, and the tissue is called tension wood (Figure 31). Reaction wood in softwoods and hardwoods is also located in the vicinity of points on any tree bole where branches originate. 

On the other hand, chain-transfer reactions between a growing chain and a dead chain may lead to increases in average molecular weight because of the formation of long branches, originating at that link of the de chain from which the hydrogen had been abstracted. 

Average uninterrupted distance between branch origins (except aorta and pulmonary artery, which are total length). 

A last segment is constituted by the liver tissue that lies between the posterior aspect of the portal bifurcation and the vena cava. This segment extends from the left (where it has a recognizable external identity in the form of the caudate lobe) to the right, around the vena cava, up to the confluence of the hepatic veins. This segment is fed by a series of smaller portal branches originating from the portal bifurcation before the takeoff of the right and left portal branches, and its parenchyma is drained by a variable number of separate hepatic veins directly into the vena cava. 

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