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At the global scale, the patterns of genetic population structure are likely to reflect ancient demographic events, such as population divergence associated with the colonization of major geographic regions of the world [25].
Genetic divergence was positively correlated with degree of ploidy, with greater levels of divergence associated with higher levels of ploidy, but interestingly, the probability of producing inviable or sterile hybrid offspring was not correlated with ploidy level.
For Nme8, the high divergence associated with the loss of the 3 NDPK_TX domains in insects and T. adhaerens suggests a fast evolution of the gene possibly associated with a loss of ancestral metazoan Nme8 function.
This would potentially reinforce character divergence associated with different selection pressures in different microhabitats.
Divergence time estimates and coalescent simulations indicate that lineage diversification occurred on two different geographic and temporal scales; recent divergence, associated with geographic isolation into individual subregions, and historical divergence, associated with displacement into multiple refugia.
Morphological divergence associated with dietary shifts has played a major role in the phyletic radiation of many vertebrates [ 1- 5].
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In case of (j/psi) production the infrared divergences due to the eikonal gluons interacting with charm quark exactly cancel with the corresponding infrared divergences associated with the charm antiquark [23, 24, 25, 26, 27, 28].
The faster and slower evolutionary rates of Cytb can account for divergences associated with the last and earlier glacial maxima, respectively, in the phylogenetic inference of murine rodents.
For example, taxa exhibiting disjunct Afro-Arabian distributions either exhibit early Miocene divergences associated with vicariance resulting from the Red Sea formation (30 23 Ma), or dispersed more recently from the Horn of Africa via a southern landbridge or overwater dispersal (10 5.3 Ma or 5.3 Ma to present, respectively) (reviewed in [ 18]).
This divergence is associated with the appearance of asymmetric bubbling behavior in the individual tomograms.
Next, we discuss the gradient and divergence operators associated with the metric g on the manifold M. Specifically, given an open set (Omega subset M) and some function (fin C^1(Omega )), the gradient of f is the vector field locally defined as begin{aligned} mathrm{grad}_g (f):=sum _{j,k=1}^n (partial _jf g^{jk}partial _k.
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