Clearly, any branch containing both (∀x)ϕx and ∼ϕy is one in which not all the sentences in that branch can be simultaneously satisfied (under the assumption of ω-consistency; see metalogic).
The best-fitted maximum-likelihood trees reflect established phylogenetic relationships, with C. echinospermum basal to a branch containing a single, mostly basal clade of C. arietinum and separate branches for each C. reticulatum population among which topology mirrors geographic proximity of field sites (Fig. 4).
In globular clusters all such arrays show a major grouping of stars along the lower main sequence, with a giant branch containing more-luminous stars curving from there upward to the red and with a horizontal branch starting about halfway up the giant branch and extending toward the blue.
For trips x → y we select ω 1 such that it is either of the two nodes adjacent to the branch containing x, with equal probability.
The 18 MSP were used to generate a MSP dendrogram, which revealed well-separated clusters for M. fructicola and M. laxa, and an unresolved branch containing the M. polystroma and M. fructigena spectra (Fig. 1a).
Within the cluster of the D-type EUL domains, the second domain of OsEULD2 is positioned between the branch containing the sequences for the N-terminal domain (domain 1) and the branch representing the C-terminal domains (domain 2) of OsEULD1A and D1B.
Hierarchical clustering subdivided the exposure groups into two larger clusters: one smaller branch containing groups with higher absorbed dose levels (1.4 32 Gy from 211At and 8.5 Gy from 131I at 24 h) and a larger branch with the remaining groups (Fig. 1).
Another alternative of Equation 15 is when the branch containing dkiter m + 1λiter m on the left-hand side is pulled to the right-hand side, but with using the previous iteration, dkiter mλiter m, to have values in hand for all variables on the right-hand side, the lin-solver must be applied accordingly.
The branch containing most of the lSSc-PAH patients is labeled 'Group 1', and the branch containing all healthy controls is labeled 'Group 2' (Figure 2A).
Unsupervised hierarchical clustering based on the expression values grouped all samples into two separate branches one branch containing all freshly isolated erythrocytes and another branch containing reticulocytes (displayed as a heat map in Fig 3A).
The function of the extracellular PL domain within the ZIP family branch containing ZIPs 5, 6 and 10 has yet to be characterized.
