Sentence examples for sum of partitions from inspiring English sources

Positive HBS (plain text) indicates more support from combined analysis than from sum of partitions; negative HBS (bold) indicates support for clade lower in combined analysis relative to sum of partitions; zero HBS (italic) indicates additive branch support (support for clade the same in combined and in sum of partitions).

In [28], a game-theoretic analysis is conducted that requires a solution to a generalization of the sum-of-squares partitioning problem [4].

The main contribution of this work is to show that any unity partition (where the sum of the partition is one) of the update law ensures convergence of the co-learning.

Analog to Figure 2 we denote the partition matrices by (A = A_{P1} + A_{P2} + cdots+ A_{Pp}), where the global system matrix is the sum of all partition matrices.

The sum of all partition lengths for any given node will always equal to the decay index for that node on the total evidence tree [ 25].

The sum of all partition lengths for any given node will always equal the decay index for that node on the total evidence tree.

The treatment sum of squares was partitioned into the sum of squares among NILs, among checks and between NILs and checks.

The treatment sum of squares was partitioned into sum of squares among RILs, among checks and between RILs and checks.

Cross-covariances were estimated as the product of the values of our indices of body condition and immune response for each individual and the sums of products partitioned according to the source of variation (Falconer 1981).

This unique approach is roughly comparable with the Type III sum of squares approach of partitioning variance (also known as the unique or regression approach: Stevens, 2007) in ANOVA.

This observation is consistent with the observation made elsewhere [ 22- 24], based on independent datasets, in which interaction between partitions can increase support beyond the sum of branch supports obtained from partitions in isolation (i.e., "hidden support" of [ 22]).