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The dominance order most consistent with a linear hierarchy was determined with MatMan 1.1 (Landau's linearity index: h = 0.7204, p<0.001), indicating a significantly linear dominance hierarchy [34], [35].
Despite the large number of males, a significantly linear hierarchy was found in the study group (Landau's linearity index corrected for unknown relationships: 0.46, P < 0.0001).
As long as the linear hierarchy and the nonlinear hierarchy are derived, following their reductions, some linear and nonlinear evolution equations with variable coefficients are obtained, respectively.
By making use of an enlarged Lie algebra T1 of the Lie algebra T, we obtain a type of equation hierarchy (called a linear hierarchy).
We find that the CCAN does not assemble as a linear hierarchy, and instead, each sub-complex requires multiple non-redundant interactions for its localization to centromeres and the structural integrity of the overall assembly.
However, these techniques impose a linear hierarchy of sampling which may not be related to the true body structure assuming certain statistical independence among state variables.
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Decentralised, flat and team-based ways of organising are much more in tune with a globalised world than monolithic linear hierarchies.
Two hypotheses explain how linear hierarchies might emerge and change over time.
The stage was set in Marlene Dietrich Platz for a collapse of linear hierarchies into the magic of the cyclical with the fairy tale of transformation inaugurating the Berlinale 65 years ago.
We used a custom cDNA microarray to profile brain transcript expression in a model species, the rainbow trout, which forms tractable linear hierarchies.
They also might point to the mechanisms accounting for the observed differences in aggression and physiology, at least in salmonid fish [22], [23] and in other species that form linear hierarchies [1], [24].
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