The intra-relationships are calculated through the affinity of the intrinsic manifold structure between instances of the i th domain.
In (2), the diagonal block matrix P i,i), which is an ni by ni matrix, indicates these intra-relationships.
First a joint transition probability graph P, shown in Eq. (2) which was adapted from [57], is constructed using intra-relationships and inter-relationships for all the co-occurrence, labeled, and unlabeled instances across both domains.
The GNSI survey maps and measures, inter alia, the inter- and intra-relationships (institutional linkages, policy proximity, convergence or divergence and connectedness) of respondents from the four NSI actors as well as barriers to innovation.
This study has identified five distinct, biologically plausible clusters of comorbidity, the interrelationships between these clusters and the intra-relationship between comorbidities within each cluster.
The different shapes within the figures make it is possible to show the inter- and intra-relationships between the results.
The intra-relationships of this clade match closely those suggested by DNA-DNA hybridization data, and only the position of the plover Pluvialis differs.
The utility of yet another gene for resolving the infra-familiar relationships of Leptocerinae would probably give less impact than better taxon sampling, since most of the genes show the same intra-relationships.
In contrast, the nodes supporting Holometabola, the first-branching of Hymenoptera within Holometabola or the inter- and intra-relationships for holometabolous orders are nearly all well recovered by all functional subgroups (fig. 4 and table 2).
Nohara et al. [ 16] conducted molecular phylogenetic analysis of the intra-relationships of some lancelets using whole mitochondrial genome (mitogenome) sequences, but A. inferum and two congeneric species of A. lucayanum complex [ 8] were not included.
Such modifications to the intra-purine, intra-pyrimidine relationship can result in deviations from the smooth distribution that first order approximation equations like Eq.16, 17 would imply.
