The sum of covariances may be partitioned into terms that include pairs of adjacent edges and terms that include disjoint (i.e., non-adjacent) edges: ∑ i, k ∈ S j, l ∈ T i, j ≠ k, l C o v X i j, X kl = ∑ i ∈ S j, l ∈ T j ≠ l C o v X i j, X i l + ∑ i, k ∈ S i ≠ k j ∈ T C o v X i j, X k j + ∑ i, k ∈ S i ≠ k j, l ∈ T j ≠ l C o v X i j, X kl (10).
Traditionally, Quaker meeting houses had two rooms, divided by a movable partition, termed "shutters," meant to separate men from women during meetings; these shutters are noticeably absent on the Benjaminville Meeting House.
Comparison against a different null model, one where all African cichlid RH2a branches were considered as a single foreground partition (termed the 'CmC αβ' model), revealed that the ω ratios estimated for the RH2aα and RH2aβ partitions under the 'CmC α & β' model were not significantly different from one another (Table 3), with a common ω ratio estimate of ω3 = 1.39 (Table 2).
The energy error is found and partitioned into two terms, one of which is of definite sign (and dissipative).
However, when the analysis was partitioned for short-term trends, a statistically significant average annual decline of 1.29 deaths per 100,000 persons was observed from 2001 to 2006.
First, the Hamiltonian is partitioned into a linear term and a high-order term.
Here the partition V' is closest to the minimal partition in terms of the cost; if no other partition exists, it is assumed that w(V) = 1.
The probe-specific terms are partitioned between the biological variables and the adjustment variables.
Using several high-level Gene Ontology (GO) terms we partitioned each gene list into 14 categories (Table 3).
The set of terms was partitioned into 20 non-overlapping clusters using a variant of the k-means clustering algorithm, called the pam (for "partitioning around medoids") function from the R language cluster package.
